(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR
 (1066 46
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (949 46
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (621 22
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (307 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (242 242
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (242 242
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (242 242
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (216 216
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (205 80
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (180 18
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (178 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (176 9
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (165 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (162 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (154 7
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (146 80
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (132 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (105 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (94 64
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (90 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (80 80
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (63 63
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (56 56
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 46
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (39 39
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (38 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (35 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (28 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (28 7
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (27 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (25 25
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (18 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (15 15
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (13
    13
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (13
   13
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (9
   9
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (7 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-UNDER-IFF
 (71 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (8 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR
 (866 15
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (532 28
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (458 28
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (390 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (233 233
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (233 233
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (233 233
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (216 216
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (214 13
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (160 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (142 53
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (114 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (55 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (53 53
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (52 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (46 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (24 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (18 18 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (18 18 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (18 18
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR
 (5310 92
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2674 15
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (1832 143
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1433 143
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (869 80
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (726 15
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (684 54
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (575 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (336 336
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (336 336
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (336 336
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (286 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (252 252
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (240 15
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (207 9
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (202 202
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (161 161
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (161 161
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (161 161
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (148 148
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (148 148
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (143 143
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (143 143
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (143 143
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (113 113
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (107 107
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (105
     105
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (105 105
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (93 93
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (91 91
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (91 91
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (77 77
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (77 77
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (57 57
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (57 57
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (57 57
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (55 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (49 49
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (49
    21
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (39 39
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (33 33
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (33 33
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (33 33
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (33 33
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (24 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (22 22 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (20 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (18 18 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (18 18 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (18 18
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (14 14
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (13 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (7 7
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (7
  7
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR
 (1128 20
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (700 36
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (605 36
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (484 3
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (255 93
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (242 242
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (242 242
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (242 242
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (240 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (236 14
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (228 14
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (203 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (167 1
      (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (94 94
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (88 51
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (88 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (88 1
     (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (85 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (78 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (75 7
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (74 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (68 68
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (65 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (61 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (60 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (50 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (45 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (43 1
     (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (42 42
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (42 42
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (42 42
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (36 36
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (28 28
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (28 28
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (23 23
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (22 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (21 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (20 20 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (20 20
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (20 20
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (20 20 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (20 20
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (18 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 3
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (7 7 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (5
   5
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1
    (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (1 1 (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (33632 956
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (31549 933
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (16894 896
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (8234 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6519 303
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (5662 956
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (5619 956
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (4095 2645
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (2926 2926
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2909 2909
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2909 2909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2909 2909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2909 2909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2907 2907
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2907 2907
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (2702 67
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2501 67
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (1848 1848 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1848 1848
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1848 1848
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1848 1848
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1848 1848
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (956 956
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (956 956
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (956 956
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (956 956
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (956 956
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (956 956
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (933 933
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (912 228
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (896 896
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (896 896
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (896 896
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (807 807
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (800 800
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (800 800
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (800 800
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (525 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (518 14
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (488 25
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (476 14
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (372 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (369 12
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (306 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (306 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (303 303
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (302 302
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (302 302
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (302 302
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (302 302
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (290 290
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (290 290
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (290 290
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (290 290
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (290 290 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (281 281 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (228 228
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (228
     228
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (228 228
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (228 228
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (228 228
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (228
     228
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (228 228
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (221 221
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (220 220
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (198 9
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (180 25
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (171
    171
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (171 171
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (171 171
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (171
     171
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (171 171
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (171 171
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (171 171
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (171 171
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (169 169
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (168 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (159 25
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (156 156
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (156 156
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (156 156
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (129 129
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (126 126
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (81 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (77 77
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (67
  67
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (67 67
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (56 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (50 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (47 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (43 43
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (43 43
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (42
   42
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (36 9
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (34 34
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (27
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (16 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (14
    14
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (12
    12
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (12
   12
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (12
  12
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12
   12
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (12
  12
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (11 11 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (672 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (623 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (509 28
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (308 14 (:DEFINITION NOT))
 (289 13
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (238 2
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (193
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (185 79
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (175 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (153
     2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (131 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (130 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (129 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (124 79
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (108 68
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (107 7
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (97 3
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (79 79
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (78 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (72 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26
    2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 20
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (19 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7
  7
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1252 40
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1158 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1018 56
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (578 26
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (572 26 (:DEFINITION NOT))
 (476 4
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (386
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (358 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (350 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (306
     4
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (262 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (248 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (246 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (242 152
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (214 14
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (212 132
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (194 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (156 4
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (152 152
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (144 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (138 6
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (80 80 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (80 80 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (80 80
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (78 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (52
    4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (40 40
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 40
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (40 40
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (26 26
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (26 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (18 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (14
  14
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (12
    4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (1141 56
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (872 29
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (803 29
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (565 34
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (418 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (236
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (206 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (155 155
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (154 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (153 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (122 2
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (86 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (86 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (81 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (75 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (63 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (61 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (55 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 50 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (50 50 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (50 50
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (49
    17
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (41
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (40 40
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (36 36
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (36 36
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (36 36
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (34 34
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (29 29
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 7
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (28
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (17 17
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (17 17
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (17
    17
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (17
  17
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (17
  17
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (17
  17
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (17
  17
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (17
  17
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (17
    17
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (17
  17
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (17
    17
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (17
  17
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (17
  17
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (11 11 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 2
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (784 23
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (731 23
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (650 34
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (430 26
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (286 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (236
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (181 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (142 23
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (141 23
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (116 116
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (86 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (85 70
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (75 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (63 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (61 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (54 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (46 46 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (46 46
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (46 46
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (46 46 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (46 46
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (45 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (41
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 23
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (23 23
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (23 23
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (23 23
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (23 23
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (23 23
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (23 23
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22
    16
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 16
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (16 16
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (16
  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (16
  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (9 2
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (756 46
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (728 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (677 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (477 31
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (335 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (311 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (252 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (236
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (193
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (186
     3
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (178 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (156 91
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (144 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (136 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (135 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (134 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (130 130
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (119 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (103 3
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (96 9
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (91 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (73 4
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (56 31
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (44 44 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (44 44 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (44 44
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (31 31
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (31 31
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (31 31
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30
    18
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (17 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (13 13 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (3
  3
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-HIGH
 (2222 83
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2018 83
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (981
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (980 32
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (592 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (478 28
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (454 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (390 15
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (385 63
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (378 63
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (330 21
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (312 18
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (286 13
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (261 33
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (259 21
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (204 15
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (190 33
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (179 179
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (160 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (154 15
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (126 126 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (126 126
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (114 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (109 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (85 85
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (85 85
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (85 85
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (83 83
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (83 83
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (83 83
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (73 73
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (69 69
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (65 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (61 61
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (61 61
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (59 59
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (59 59
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (54 15
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (52 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (52 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (48 48
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (46 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (41 41
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (38 38
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (32 32
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (32
    32
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (32
   32
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (32 32
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (32 32
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (30 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (25 25
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (21
    21
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15
   15
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (15 15 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14
    6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (13 13
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (13 13
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (13 13
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR
 (1328 74
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1285 36
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1143 68
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (614 4
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (356 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (253 95
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (249 249
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (249 249
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (249 249
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (216 216
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (191 95
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (187 25
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (168 9
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (165 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (162 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (154 7
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (124 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (114 74
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (97 5
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (95 95
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (90 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (81 81
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (81 81
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (81 81
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (74 74
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (74 74
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (69 69
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (68 68
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (60 60
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (57 57
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (43 43
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (38 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (35 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (28 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (28 7
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (27 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (21 21
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14
    6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (13
    13
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (13
   13
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (9
   9
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-UNDER-IFF
 (71 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (8 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR
 (1716 29
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (785 50
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (780 4
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (651 49
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (320 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (242 20
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (240 240
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (240 240
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (240 240
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (216 216
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (211 77
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (204 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (104 4
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (92 4
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (77 77
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (61 61
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (57 57
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (57 57
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (57 57
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (55 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (49 49
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (36 36
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (35 35
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (26 26
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (24 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (20 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (19 19
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (18 18 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (18 18
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (14
    6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR
 (10754 195
        (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5348 30
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (3439 298
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2613 291
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1452 30
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (1210 130
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1210 97
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (993 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (520 20
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (480 30
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (414 18
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (386 386
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (386 386
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (386 386
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (354 354
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (331 331
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (331 331
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (331 331
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (298 298
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (298 298
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (291 291
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (252 252
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (250 250
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (250 250
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (237 237
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (198 198
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (195 195
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (150 150
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (105
     105
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (105 105
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (98
    42
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (95 95
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (95 95
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (95 95
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (91 91
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (91 91
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (77 77
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (77 77
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (55 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (49 49
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (43 43 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (40 40
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (39 39
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (28 28
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (20 20 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (20 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (18 18 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (18 18 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (18
  18
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (14
  14
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR
 (2240 39
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1065 65
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (968 6
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (891 64
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (480 6
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (341 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (340 21
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (286 22
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (250 250
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (250 250
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (250 250
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (233 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (167 1
      (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (156 6
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (138 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (125 125
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (107 70
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (88 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (88 1
     (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (85 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (75 75
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (75 7
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (74 74
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (74 74
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (74 74
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (74 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (65 65
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (65 65
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (65 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (64 64
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (61 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (60 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (58 33
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (49 49
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (45 45
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (45 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (43 1
     (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (33 33
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (29 29
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (25 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (21 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (20 20 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (20 20
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (20 20
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (20 20 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (20 20
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (14
    6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 13
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (13 3
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (7 7 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (6 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (5
   5
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1
    (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (1 1 (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (33632 956
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (31549 933
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (16894 896
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (8234 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6519 303
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (5662 956
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (5619 956
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (4095 2645
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (2926 2926
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2917 2917
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2909 2909
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2909 2909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2909 2909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2909 2909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2907 2907
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2907 2907
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (2702 67
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2501 67
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (1848 1848 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1848 1848
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1848 1848
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1848 1848
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1848 1848
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (956 956
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (956 956
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (956 956
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (956 956
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (956 956
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (956 956
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (933 933
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (912 228
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (896 896
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (896 896
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (896 896
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (807 807
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (800 800
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (800 800
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (800 800
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (525 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (518 14
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (488 25
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (476 14
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (372 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (369 12
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (306 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (306 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (303 303
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (302 302
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (302 302
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (302 302
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (302 302
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (290 290
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (290 290
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (290 290
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (290 290
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (290 290 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (281 281 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (228 228
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (228
     228
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (228 228
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (228 228
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (228 228
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (228
     228
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (228 228
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (221 221
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (220 220
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (198 9
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (180 25
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (171
    171
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (171 171
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (171 171
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (171
     171
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (171 171
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (171 171
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (171 171
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (171 171
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (169 169
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (168 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (159 25
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (156 156
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (156 156
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (156 156
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (129 129
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (126 126
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (81 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (77 77
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (67
  67
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (67 67
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (56 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (50 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (47 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (43 43
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (43 43
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (42
   42
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (36 9
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (34 34
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (27
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (16 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (14
    14
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (12
    12
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (12
   12
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (12
  12
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12
   12
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (12
  12
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (11 11 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (672 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (623 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (509 28
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (308 14 (:DEFINITION NOT))
 (289 13
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (238 2
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (193
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (185 79
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (175 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (153
     2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (131 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (130 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (129 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (124 79
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (108 68
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (107 7
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (97 3
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (79 79
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (78 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (72 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26
    2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 20
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (19 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7
  7
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1252 40
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1158 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1018 56
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (578 26
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (572 26 (:DEFINITION NOT))
 (476 4
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (386
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (358 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (350 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (306
     4
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (262 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (248 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (246 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (242 152
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (214 14
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (212 132
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (194 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (156 4
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (152 152
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (144 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (138 6
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (80 80 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (80 80 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (80 80
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (78 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (52
    4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (40 40
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 40
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (40 40
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (26 26
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (26 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (18 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (14
  14
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (12
    4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (1141 56
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (876 30
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (804 30
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (565 34
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (418 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (237
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (206 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (155 155
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (154 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (153 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (122 2
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (86 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (86 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (81 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (75 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (63 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (61 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (56 56
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (55 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 50 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (50 50 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (50 50
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (49
    17
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (41
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (40 40
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (36 36
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (36 36
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (36 36
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (34 34
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 7
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (28
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (17 17
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (17 17
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (17
    17
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (17
  17
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (17
  17
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (17
  17
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (17
  17
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (17
  17
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (17
    17
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (17
  17
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (17
    17
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (17 17
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (17
  17
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (17
  17
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (17
    17
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (17
  17
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (17
   17
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (17
  17
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (17
   17
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (17 17
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (11 11 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 2
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (728 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (677 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (650 34
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (407 25
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (275 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (237
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (181 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (136 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (135 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (113 113
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (112 112
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (86 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (77 67
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (75 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (63 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (61 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (54 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (44 44 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (44 44 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (44 44
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (44 19
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (41
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (34 34
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22
    16
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 16
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (16 16
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (16
  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (16
  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
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  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
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    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
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  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (16
   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (16
    16
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
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  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (16
    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
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  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
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   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
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   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 2
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
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    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (756 46
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (728 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (677 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (455 30
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (318 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (311 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (237
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (217 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (193
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (186
     3
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (178 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (154 2
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (149 89
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (144 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (136 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (135 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (134 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (126 126
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (119 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (103 3
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (96 9
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (91 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (53 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (46 46
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (44 44 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (44 44 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (44 44
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30
    18
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (18 18
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (18
    18
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (18
    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (18
   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (18
  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (17 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (12 12 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-HIGH
 (2480 107
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2212 105
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2043
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2024 46
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1184 4
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (578 38
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (544 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (442 17
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (404 26
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (385 63
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (378 63
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (330 21
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (320 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (286 13
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (261 33
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (259 21
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (209 209
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (204 15
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (190 33
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (154 15
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (126 126 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (126 126
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (126 126
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (114 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (111 111
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (111 111
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (111 111
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (109 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (107 107
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (107 107
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (105 105
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (104 4
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (92 4
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (87 87
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (69 69
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (65 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (61 61
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (61 61
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (59 59
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (59 59
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (56 56
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (54 15
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (52 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (48 48
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (43 43
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (42 42
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (42 42
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (42 42
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (32
    32
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (32
   32
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (30 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (28
    12
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (26 26
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (25 25
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (25 25
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (21
    21
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (17 17 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15
   15
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (13 13
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (13 13
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (13 13
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4
  4
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP)))
(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR
 (1832 80
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1628 80
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (442 442
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (442 442
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (442 442
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (400 400
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (317 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (307 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (284 47
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (282 47
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (231 121
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (198 9
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (184 11
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (178 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (170 32
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (132 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (126 96
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (121 121
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (108 11
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (105 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (102 102
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (94 94 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (94 94
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (94 94
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (94 94 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (94 94
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (85 85
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (85 85
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (85 85
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (84 84
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (80 80
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (80 80
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (80 80
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (58 58
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (46 46
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (45 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (44 44
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (36 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (36 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (29
    29
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (25 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (23 23
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (23 23
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (19 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (12 12 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (11
   11
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-UNDER-IFF
 (98 4 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (44 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (12 6
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR
 (684 45
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (567 27
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (561 45
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (432 432
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (432 432
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (432 432
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (400 400
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (390 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (289 16
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (248 94
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (160 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (94 94
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (93 93
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (73 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (51 51
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (33 33
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 23
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR
 (3404 19
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (2324 182
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1816 182
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1308 108
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (888 19
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (887 68
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (782 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (563 563
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (563 563
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (563 563
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (450 450
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (338 13
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (294 19
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (271 271
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (271 271
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (253 11
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (204 204
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (204 204
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (204 204
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (195 195
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (195 195
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (182 182
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (182 182
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (182 182
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (154 154
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (153
     153
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (153 153
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (149 149
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (144 144
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (117 117
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (117 117
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (117
     117
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (117 117
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (109 109
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (81 81
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (80 80
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (80 80
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (80 80
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (73 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (65 65
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (61 61
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (59 59
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (37 37 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (13 13 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (13 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (9
  9
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR
 (852 53
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (708 53
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (589 28
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (484 3
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (443 443
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (443 443
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (443 443
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (403 21
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (366 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (240 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (203 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (167 1
      (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (136 136
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (113 71
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (108 108
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (103 103
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (103 103
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (102 3
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (88 1
     (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (87 3
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (84 3
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (78 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (78 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (75 7
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (74 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (65 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (59 59
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (59 59
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (59 59
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (59 34
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (53 53
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (53 53
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (53 53
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (47 47
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (45 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (43 1
     (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (38 38
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (30 30
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 26 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (26 26 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (26 26
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (22 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (13
  13
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (13 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (9
   9
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (6
   6
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1
    (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (1 1 (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (45308 1274
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (42529 1249
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (20905 1206
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (12236 743
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (10780 3926
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (7534 1274
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (7525 1274
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (5276 3521
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (3937 3937
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (3918 3918
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (3918 3918
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (3918 3918
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (3918 3918
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (3916 3916
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (3916 3916
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (3217 80
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2977 80
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2476 2476 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2476 2476
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2476 2476
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2476 2476
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2476 2476
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1274 1274
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1274 1274
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1274 1274
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1274 1274
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1274 1274
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1274 1274
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1249 1249
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1206 1206
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1206 1206
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1206 1206
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1092 273
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (976 976
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (976 976
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (976 976
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (953 953
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (777 21
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (743 743
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (714 21
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (642 32
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (615 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (443 14
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (376 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (374 11
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (374 11
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (371 371
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (371 371
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (371 371
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (371 371
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (351 351
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (351 351
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (351 351
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (351 351
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (351 351 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (339 339 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (307
    307
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (307 307
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (307 307
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (307
     307
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (307 307
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (307 307
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (307 307
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (307 307
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (289 289
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (273 273
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (273
     273
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (273 273
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (273 273
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (273 273
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (273
     273
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (273 273
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (268 268
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (268 268
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (268 268
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (256 256
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (256
    256
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (244 32
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (242 11
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (221 32
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (208 208
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (208 208
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (175 175
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (168 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (167 2
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (131 131
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (99 6
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (90 90
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (85 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (80
  80
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (80 80
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (80 10
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (78 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (73 73
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (73 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (57
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (52
   52
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (52 52
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (50 50
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (50 50
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (45 45
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (44 11
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (37 37
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (24 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (19 19 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (14
    14
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (14
   14
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (14
  14
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14
   14
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (14
  14
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (12 12
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (768 24
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (712 24
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (538 32
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (408 24
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (352 16 (:DEFINITION NOT))
 (284 2
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (238
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (214 92
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (175 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (173 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (153
     2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (148 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (147 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (143 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (142 92
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (126 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (116 76
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (107 2
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (99 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (95 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (92 92
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (81 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (55
    4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (48 48 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (48 48 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (48 48
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (24 24
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (24 24
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (24 24
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (24 24
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (21 21
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (20 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (19 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (18 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12
    5
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1444 46
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1336 46
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1076 64
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (816 48
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (660 30 (:DEFINITION NOT))
 (568 4
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (476
  4
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (416 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (350 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (346 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (306
     4
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (286 20
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (284 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (282 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (278 178
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (252 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (228 148
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (214 4
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (198 16
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (190 8
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (178 178
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (162 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (110
    8
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (92 92 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (92 92 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (92 92
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (82 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (78 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (48 48
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (46 46
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (42 42
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 8
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (36 8
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24
    10
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20
  20
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (16
  16
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 16
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (16
    16
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (8
  8
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (8
   8
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (1258 62
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1007 71
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (818 26
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (757 26
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (475 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (238
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (214 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (179 179
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (148 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (147 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (132 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (127 1
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (117 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (100 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (94 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (86
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (84 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (74 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (73 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (71 71
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (64
    22
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (58
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (48 48 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (48 48 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (48 48
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (42 3
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (42 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (39 39
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (39 39
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (39 39
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (37 37
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26 26
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (25
    25
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (17 17 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (880 26
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (820 26
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (706 39
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (613 53
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (336 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (238
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (181 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (160 26
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (159 26
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (138 138
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (132 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (117 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (115 115
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (115 115
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (100 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (93 78
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (90 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (86
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (83 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (74 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (58
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (53 53
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (52 52 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (52 52 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (52 52
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (47 22
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (42 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30
    22
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (17 17
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (17
    17
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (845 54
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (824 25
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (766 25
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (744 66
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (391 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (357 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (252 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (238
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (238
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (220 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (186
     3
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (181 14
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (167 102
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (163 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (155 155
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (154 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (153 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (132 3
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (124 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (120 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (117 5
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (73 4
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (58 33
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (57
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (50 50 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (50 50 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (50 50
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (37
    23
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (33 33
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (23 23
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (23 23
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (23
    23
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (23
  23
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (23
    23
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (23
  23
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (23
  23
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (23
  23
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (23
  23
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (23
    23
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (23
    23
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (23
    23
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (23
  23
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (23
    23
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (23
  23
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (23
  23
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (23
    23
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (23 23
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (23
    23
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (17 17
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14
  14
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (13 13 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5
  5
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (3
  3
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-HIGH
 (3316 115
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3039 115
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (983 35
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (981
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (592 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (576 95
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (570 95
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (556 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (453 27
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (442 17
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (330 15
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (318 21
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (290 17
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (255 21
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (249 33
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (227 227
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (227 227
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (212 17
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (190 190 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (190 190
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (190 190
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (190 190
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (190 190
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (186 33
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (172 17
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (160 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (117 117
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (117 117
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (117 117
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (115 115
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (115 115
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (115 115
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (114 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (109 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (105 105
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (82 82
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (75 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (65 65
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (65 65
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (63 63
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (62 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (60 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (52 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (50 50
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (48 48
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (47 47
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (46 46
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (46 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (36 36
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (34 34
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34
    34
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (32
    32
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (32
   32
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (30 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (25 25
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (21 21
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (21 21
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (21
    21
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (17
   17
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (17 17 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (15 15
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (14
    6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
      MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR
 (2084 107
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1819 99
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (614 4
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (448 448
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (448 448
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (448 448
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (400 400
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (356 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (344 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (284 47
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (282 47
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (241 136
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (198 9
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (176 38
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (176 11
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (146 106
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (136 136
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (124 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (114 114
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (114 114
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (114 114
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (108 11
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (107 107
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (107 107
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (107 107
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (99 99
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (97 5
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (94 94 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (94 94
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (94 94
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (94 94 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (94 94
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (85 85
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (79 79
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (59 59
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (46 46
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (45 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (36 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (36 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (29
    29
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (24 24
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (24 24
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (24 24
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (21 21
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (21 21
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (21 21
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (19 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (13 13 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11
   11
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-UNDER-IFF
 (98 4 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (44 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (12 6
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR
 (1019 104
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (780 4
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (769 81
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (532 49
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (454 454
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (454 454
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (454 454
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (400 400
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (365 29
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (340 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (320 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (128 128
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (111 111
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (111 111
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (111 111
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (106 106
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (104 104
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (104 104
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (104 4
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (92 4
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (81 81
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (73 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (65 65
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (60 60
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (51 51
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (13 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR
 (6808 38
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (4390 397
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3303 379
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1810 181
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1776 38
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (1530 123
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1360 473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (636 636
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (636 636
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (636 636
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (624 24
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (588 38
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (506 22
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (473 473
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (473 473
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (450 450
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (438 438
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (438 438
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (438 438
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (397 397
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (397 397
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (379 379
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (324 324
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (324 324
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (311 311
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (251 251
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (246 246
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (209 209
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (153
     153
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (153 153
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (138 138
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (138 138
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (138 138
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (117 117
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (117 117
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (117
     117
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (117 117
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (105 105
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (105 105
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (105 105
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (81 81
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (79 79
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (73 73
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (73 73 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (73 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (65 65
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (40 40
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (40 40
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (40 40
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (40 40
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (36 36
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (36 36
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 24 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (22
  22
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (18
  18
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR
 (1299 119
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1009 96
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (968 6
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (576 51
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (501 35
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (480 6
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (475 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (466 466
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (466 466
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (466 466
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (233 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (177 177
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (167 1
      (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (156 6
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (138 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (128 128
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (128 128
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (128 128
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (125 83
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (122 122
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (119 119
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (119 119
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (102 3
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (96 96
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (88 1
     (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (87 3
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (84 3
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (78 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (75 75
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (75 7
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (74 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (73 73
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (68 43
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (65 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (56 56
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (45 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (43 43
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (43 43
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (43 1
     (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (26 26 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (26 26 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (26 26
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (25 25
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (25 25
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (17 17 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (17 17
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (13
  13
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (13 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (9
   9
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (6
   6
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1
    (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (1 1 (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (45308 1274
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (42529 1249
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (20905 1206
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (12236 743
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (10780 3926
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (7534 1274
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (7525 1274
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (5276 3521
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (3937 3937
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3926 3926
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (3918 3918
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (3918 3918
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (3918 3918
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (3918 3918
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (3916 3916
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (3916 3916
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (3217 80
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2977 80
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2476 2476 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2476 2476
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2476 2476
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2476 2476
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2476 2476
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1274 1274
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1274 1274
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1274 1274
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1274 1274
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1274 1274
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1274 1274
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1249 1249
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1206 1206
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1206 1206
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1206 1206
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1092 273
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (976 976
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (976 976
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (976 976
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (953 953
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (777 21
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (743 743
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (714 21
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (642 32
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (615 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (443 14
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (376 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (374 11
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (374 11
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (371 371
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (371 371
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (371 371
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (371 371
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (351 351
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (351 351
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (351 351
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (351 351
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (351 351 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (339 339 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (307
    307
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (307 307
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (307 307
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (307
     307
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (307 307
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (307 307
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (307 307
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (307 307
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (289 289
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (273 273
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (273
     273
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (273 273
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (273 273
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (273 273
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (273
     273
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (273 273
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (268 268
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (268 268
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (268 268
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (256 256
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (256
    256
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (244 32
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (242 11
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (221 32
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (208 208
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (208 208
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (175 175
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (168 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (167 2
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (131 131
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (99 6
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (90 90
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (85 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (80
  80
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (80 80
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (80 10
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (78 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (73 73
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (73 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (57
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (52
   52
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (52 52
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (50 50
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (50 50
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (45 45
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (44 11
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (37 37
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (24 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (19 19 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (14
    14
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (14
   14
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (14
  14
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14
   14
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (14
  14
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (12 12
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (768 24
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (712 24
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (538 32
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (408 24
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (352 16 (:DEFINITION NOT))
 (284 2
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (238
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (214 92
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (175 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (173 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (153
     2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (148 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (147 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (143 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (142 92
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (126 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (116 76
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (107 2
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (99 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (95 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (92 92
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (91 91
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (81 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (55
    4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (48 48 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (48 48 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (48 48
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (32 32
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (24 24
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (24 24
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (24 24
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (24 24
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (21 21
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (20 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (19 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (18 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12
    5
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1444 46
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1336 46
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1076 64
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (816 48
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (660 30 (:DEFINITION NOT))
 (568 4
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (476
  4
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (416 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (350 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (346 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (306
     4
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (286 20
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (284 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (282 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (278 178
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (252 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (228 148
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (214 4
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (198 16
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (190 8
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (178 178
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (162 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (110
    8
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (92 92 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (92 92 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (92 92
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (82 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (78 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (64 64
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (48 48
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (46 46
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (42 42
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 8
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (36 8
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24
    10
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20
  20
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (16
  16
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 16
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (16
    16
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (8
  8
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (8
   8
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (1258 62
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1007 71
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (822 27
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (758 27
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (475 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (239
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (214 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (179 179
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (148 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (147 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (132 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (127 1
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (117 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (100 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (94 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (86
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (84 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (74 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (73 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (71 71
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (64
    22
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (58
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (48 48 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (48 48 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (48 48
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (42 3
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (42 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (39 39
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (39 39
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (39 39
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (37 37
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (25
    25
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (17 17 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (824 25
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (766 25
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (706 39
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (590 52
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (325 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (239
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (181 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (154 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (153 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (134 134
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (132 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (117 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (100 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (86
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (85 75
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (83 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (74 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (58
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (52 52
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (50 50 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (50 50 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (50 50
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (46 21
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (42 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (37 37
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30
    22
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (17 17
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (17
    17
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (845 54
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (824 25
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (766 25
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (697 64
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (372 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (357 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (239
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (238
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (220 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (217 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (186
     3
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (181 14
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (163 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (160 100
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (154 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (154 2
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (153 25
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (151 151
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (151 151
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (151 151
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (151 151
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (150 150
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (150 150
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (149 149
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (149 149
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (132 3
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (124 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (120 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (117 5
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (64 64
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (57
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (55 30
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (50 50 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (50 50
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (50 50 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (50 50
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (37
    23
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (23 23
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (23 23
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (23
    23
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (23
  23
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (23
    23
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (23
  23
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (23
  23
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (23
  23
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (23
  23
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (23
    23
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (23
    23
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (23
    23
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (23
  23
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (23
    23
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (23 23
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (23
  23
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (23
  23
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (23
    23
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (23
  23
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (23
   23
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (23
  23
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (23
   23
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (23 23
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (22
    22
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (22 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14
  14
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (12 12 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5
  5
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-HIGH
 (3574 139
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3233 137
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2039
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2023 45
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1184 4
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (646 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (576 95
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (570 95
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (553 37
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (494 19
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (382 25
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (330 15
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (320 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (318 21
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (257 257
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (257 257
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (255 21
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (249 33
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (229 229
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (229 229
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (212 17
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (190 190 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (190 190
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (190 190
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (190 190
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (190 190
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (188 188
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (186 33
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (172 17
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (143 143
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (143 143
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (143 143
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (139 139
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (139 139
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (137 137
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (119 119
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (114 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (109 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (104 4
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (92 4
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (82 82
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (75 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (65 65
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (65 65
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (65 65
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (63 63
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (62 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (60 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (50 50
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (48 48
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (48 48
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (44 44
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (44 44
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (44 44
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (36 36
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (34
    34
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (32
    32
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (32
   32
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (30 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (28
    12
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (26 26
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (25 25
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (25 25
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (21 21
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (21 21
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (21
    21
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (19 19 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (17
   17
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (15 15
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4
  4
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR
 (1684 64
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1526 64
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (625 24
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (307 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (274 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (270 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (270 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (243 243
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (243 243
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (243 243
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (216 216
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (205 19
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (198 9
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (184 11
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (179 111
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (178 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (132 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (123 93
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (111 111
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (108 11
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (105 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (90 90 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (90 90
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (90 90
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (90 90 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (90 90
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (88 88
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (69 69
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (64 64
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (64 64
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (64 64
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (64 64
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (63 63
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (57 57
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (45 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (38 38
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (38 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (36 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (18 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (13
    13
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (13
   13
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (11
   11
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (9 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-UNDER-IFF
 (71 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (8 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR
 (868 15
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (628 31
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (547 31
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (390 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (233 233
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (233 233
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (233 233
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (216 216
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (214 13
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (160 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (150 57
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (114 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (73 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (57 57
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (52 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (46 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (31 31
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 24
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (24 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (19 19
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR
 (5324 92
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2674 15
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (1928 146
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1522 146
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (869 80
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (726 15
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (684 54
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (583 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (336 336
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (336 336
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (336 336
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (286 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (252 252
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (240 15
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (207 9
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (206 206
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (164 164
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (164 164
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (164 164
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (152 152
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (146 146
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (146 146
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (146 146
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (114 114
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (107 107
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (105
     105
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (105 105
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (96 96
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (91 91
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (91 91
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (77 77
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (77 77
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (73 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (63
    21
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (58 58
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (57 57
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (57 57
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (57 57
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (49 49
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (48 48
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (39 39
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (33 33
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (33 33
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (33 33
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (22 22 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (20 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (14 14
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (13 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (7 7
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (7
  7
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR
 (1130 20
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (796 39
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (694 39
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (484 3
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (263 97
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (242 242
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (242 242
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (242 242
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (240 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (236 14
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (228 14
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (203 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (167 1
      (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (98 98
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (92 55
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (88 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (88 1
     (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (85 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (79 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (78 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (78 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (75 7
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (74 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (68 68
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (65 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (50 25
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (48 48
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (45 45
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (45 45
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (45 45
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (45 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (43 1
     (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (39 39
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (39 39
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 26 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (26 26 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (26 26
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (25 25
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (25 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (24 24
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (22 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (21 21
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (21 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (18 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 3
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (9 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (7 7 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (5
   5
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1
    (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (1 1 (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (63803 1781
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (59922 1743
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (29022 1586
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (14096 5206
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (11738 542
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (10575 1781
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (10508 1781
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (7054 4799
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (5217 5217
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (5198 5198
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (5198 5198
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (5198 5198
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (5198 5198
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (5196 5196
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (5196 5196
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (4119 102
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (3813 102
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (3464 3464 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (3464 3464
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (3464 3464
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (3464 3464
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (3464 3464
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1781 1781
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1781 1781
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1781 1781
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1781 1781
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1781 1781
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1781 1781
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1743 1743
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1702 1702
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1586 1586
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1586 1586
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1586 1586
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1384 346
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1228 1228
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1228 1228
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1228 1228
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1221 1221
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1221 33
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (1122 33
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (906 44
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (542 542
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (525 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (524
    524
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (524 524
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (524 524
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (524
     524
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (524 524
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (524 524
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (524 524
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (524 524
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (466 466
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (466 466
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (466 466
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (466 466
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (451 451
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (451 451
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (451 451
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (451 451
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (451 451 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (432 432 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (390 390
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (374 11
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (374 11
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (372 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (369 12
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (346 346
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (346
     346
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (346 346
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (346 346
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (346 346
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (346
     346
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (346 346
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (338 338
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (275 44
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (263 263
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (242 11
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (239 239
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (239 239
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (239 239
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (235 44
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (201 201
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (196 196
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (171 171
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (168 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (102
  102
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (102
     102
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (98 98
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (85
   85
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (85 85
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (81 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (62 62
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (62 62
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (59
    59
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (57 57
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (56 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (53 53
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (53 53
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (51 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (50 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (49 49
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (47 47
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (47 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (44 44
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (44 11
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (27
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (22 22
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (22
    22
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (16 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (14 14 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (12 12
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (12
    12
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (12
   12
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (12
  12
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12
   12
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (12
  12
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (818 26
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (757 26
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (577 33
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (374 17 (:DEFINITION NOT))
 (333 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (242 2
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (207 90
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (197
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (175 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (160 26
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (159 26
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (157
     2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (135 90
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (131 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (119 79
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (107 7
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (97 3
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (90 90
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (78 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (72 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (52 52 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (52 52 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (52 52
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (33 33
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (33 33
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26
    2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (20 20
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (19 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (13 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7
  7
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1544 50
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1426 50
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1154 66
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (704 32 (:DEFINITION NOT))
 (666 30
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (484 4
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (402 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (394
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (350 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (314
     4
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (308 50
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (306 50
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (264 174
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (262 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (234 154
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (214 14
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (194 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (174 174
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (156 4
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (144 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (138 6
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (100 100 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (100 100
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (100 100
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (100 100
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (100 100
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (78 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (66 66
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (66 66
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (52 52
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (52
    4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (50 50
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (50 50
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (40 40
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (26 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (18 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14
  14
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12
    4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (1303 65
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1064 35
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (981 35
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (655 40
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (478 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (240
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (206 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (190 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (189 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (179 179
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (122 2
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (86 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (86 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (81 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (75 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (65 65
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (65 65
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (65 65
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (63 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62
    22
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (61 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (55 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 51
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (51 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (41
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (40 40
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (40 40
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (40 40
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (35 35
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (35 35
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (35 35
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (32 32
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 7
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (28
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (22 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 2
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (930 28
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (865 28
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (718 39
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (476 30
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (316 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (240
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (181 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (172 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (171 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (132 132
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (131 131
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (110 110
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (96 81
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (86 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (75 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (63 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (61 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (56 56 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (56 56
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (56 56
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (56 56 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (56 56
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (54 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (45 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (41
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (39 39
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (28 28
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (28
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (26
    20
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (20 20
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
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  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
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    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (20
  20
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
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    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
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  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (20
  20
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
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  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
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  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
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  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
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  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (20
  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
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  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 2
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP
 (874 27
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (824 51
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (811 27
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (523 35
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (365 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (319 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (252 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (240
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (197
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (194
     3
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (178 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (167 102
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (166 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (165 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (145 145
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (144 144
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (144 144
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (144 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (134 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (119 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (103 3
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (96 9
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (91 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (73 4
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (56 31
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 35
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34
    22
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (31 31
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (31 31
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (27
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (17 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (13 13 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3
  3
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-HIGH
 (4116 147
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3759 147
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1477
  7
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1473 45
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (888 3
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (712 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (712 117
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (702 117
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (648 39
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (546 21
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (446 26
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (421 27
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (396 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (332 42
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (331 27
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (290 290
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (290 290
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (264 264
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (264 264
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (242 42
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (240 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (234 234 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (234 234
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (234 234
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (234 234
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (234 234
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (220 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (219 219
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (190 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (150 150
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (150 150
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (150 150
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (147 147
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (147 147
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (147 147
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (134 134
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (132 132
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (114 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (109 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (92 92
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (90 90
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (90 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (79 79
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (79 79
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (78 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (77 77
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (77 77
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (74 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (72 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (69 3
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (63 63
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (62 62
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (60 60
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (46
  46
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (46
  46
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (44 44
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (44 44
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (44 44
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (42
    42
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (42 42
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (41
    41
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (41
   41
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (31 31
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (27
    9
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (26 26
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (21 21 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19
   19
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3
  3
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR
 (1946 92
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1720 86
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1291 38
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (614 4
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (356 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (318 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (274 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (270 45
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (250 250
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (250 250
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (250 250
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (224 126
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (216 216
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (212 26
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (198 9
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (176 11
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (143 103
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (126 126
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (124 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (115 115
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (115 115
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (108 11
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (99 99
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (99 99
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (99 99
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (97 5
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (92 92
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (92 92
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (90 90 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (90 90
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (90 90
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (90 90 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (90 90
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (90 90
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (86 86
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (78 78
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (70 70
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (63 63
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (48 48
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (45 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (38 38
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (38 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (36 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30
    30
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (22 22
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (18
    6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (13
    13
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (13
   13
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (11
   11
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-UNDER-IFF
 (71 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (8 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR
 (1720 29
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (881 53
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (780 4
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (740 52
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (320 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (242 20
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (240 240
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (240 240
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (240 240
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (219 81
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (216 216
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (204 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (108 108
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (104 4
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (92 4
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (81 81
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (81 81
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (73 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (61 61
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (53 53
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (53 53
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (52 52
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (49 49
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (39 39
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (36 36
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (19 19
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18
    6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR
 (10782 195
        (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5348 30
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (3535 301
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2702 294
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1452 30
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (1210 130
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1210 97
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1001 358
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (520 20
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (480 30
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (414 18
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (386 386
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (386 386
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (386 386
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (358 358
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (358 358
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (334 334
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (334 334
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (334 334
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (301 301
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (301 301
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (294 294
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (254 254
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (252 252
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (238 238
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (201 201
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (199 199
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (150 150
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (126 126
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (126
    42
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (105
     105
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (105 105
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (95 95
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (95 95
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (95 95
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (91 91
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (91 91
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (77 77
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (77 77
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (73 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 72
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (49 49
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (48 48
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (43 43 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (39 39
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (28 28
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (20 20 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (20 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (18
  18
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (14
  14
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR
 (2244 39
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1161 68
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (980 67
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (968 6
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (480 6
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (349 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (340 21
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (286 22
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (250 250
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (250 250
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (250 250
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (233 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (167 1
      (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (156 6
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (138 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (129 129
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (125 125
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (111 74
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (110 110
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (90 90
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (88 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (88 1
     (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (85 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (78 78
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (78 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (77 77
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (77 77
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (77 77
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (75 75
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (75 7
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (74 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (68 68
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (68 68
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (67 67
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (65 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (58 33
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (52 52
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (50 50
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (46 46
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (45 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (43 1
     (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (33 33
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (26 26 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (26 26 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (26 26
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (25 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (21 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18
    6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 3
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (7 7 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (5
   5
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1
    (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (1 1 (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (63803 1781
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (59922 1743
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (29022 1586
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (14096 5206
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (11738 542
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (10575 1781
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (10508 1781
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (7054 4799
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (5217 5217
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5206 5206
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (5198 5198
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (5198 5198
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (5198 5198
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (5198 5198
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (5196 5196
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (5196 5196
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (4119 102
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (3813 102
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (3464 3464 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (3464 3464
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (3464 3464
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (3464 3464
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (3464 3464
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1781 1781
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1781 1781
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1781 1781
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1781 1781
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1781 1781
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1781 1781
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1743 1743
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1702 1702
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1586 1586
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1586 1586
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1586 1586
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1384 346
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1228 1228
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1228 1228
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1228 1228
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1221 1221
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1221 33
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (1122 33
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (906 44
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (542 542
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (525 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (524
    524
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (524 524
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (524 524
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (524
     524
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (524 524
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (524 524
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (524 524
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (524 524
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (466 466
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (466 466
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (466 466
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (466 466
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (451 451
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (451 451
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (451 451
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (451 451
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (451 451 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (432 432 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (390 390
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (374 11
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (374 11
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (372 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (369 12
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (346 346
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (346
     346
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (346 346
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (346 346
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (346 346
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (346
     346
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (346 346
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (338 338
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (275 44
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (263 263
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (242 11
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (239 239
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (239 239
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (239 239
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (235 44
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (201 201
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (196 196
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (171 171
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (168 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (102
  102
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (102
     102
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (98 98
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (85
   85
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (85 85
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (81 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (62 62
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (62 62
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (59
    59
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (57 57
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (56 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (53 53
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (53 53
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (51 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (50 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (49 49
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (47 47
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (47 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (44 44
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (44 11
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (27
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (22 22
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (22
    22
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (16 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (14 14 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (12 12
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (12
    12
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (12
   12
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (12
  12
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12
   12
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (12
  12
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (11 11
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (11 11
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (818 26
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (757 26
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (577 33
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (374 17 (:DEFINITION NOT))
 (333 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (242 2
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (207 90
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (197
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (175 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (160 26
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (159 26
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (157
     2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (135 90
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (131 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (119 79
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (107 7
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (97 3
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (90 90
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (78 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (72 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (52 52 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (52 52 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (52 52
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (33 33
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (33 33
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26
    2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (20 20
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (19 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (13 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (9 9
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7
  7
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1544 50
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1426 50
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1154 66
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (704 32 (:DEFINITION NOT))
 (666 30
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (484 4
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (402 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (394
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (350 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (314
     4
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (308 50
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (306 50
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (264 174
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (262 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (234 154
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (214 14
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (194 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (174 174
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (156 4
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (144 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (138 6
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (100 100 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (100 100
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (100 100
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (100 100
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (100 100
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (78 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (66 66
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (66 66
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (52 52
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (52
    4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (50 50
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (50 50
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (50 50
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (40 40
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (26 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (18 18
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (18 18
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14
  14
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12
    4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (1303 65
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1068 36
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (982 36
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (655 40
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (478 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (241
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (206 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (190 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (189 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (179 179
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (153 153
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (122 2
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (86 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (86 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (81 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (75 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (65 65
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (65 65
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (65 65
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (63 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62
    22
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (61 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (55 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 51
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (51 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (41
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (40 40
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (40 40
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (40 40
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (38 38
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (38 38
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (38 38
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (36 36
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (33 33
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 7
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (28
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (22 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (20 20
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 2
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (7 7
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (874 27
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (811 27
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (718 39
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (453 29
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (305 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (241
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (181 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (166 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (165 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (128 128
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (127 127
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (88 78
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (86 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (75 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (63 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (61 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (54 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (51 5
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (44 19
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (41
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (39 39
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (29 29
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26
    20
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (20 20
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (20
  20
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (20
  20
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (20
  20
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (20
  20
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (20
    20
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (20
  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (20
  20
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (20
    20
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (20
   20
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (20
  20
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (20
   20
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (20 20
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 2
    (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP
 (874 27
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (824 51
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (811 27
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (501 34
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (348 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (319 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (241
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (217 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (197
  1
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (194
     3
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (178 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (166 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (165 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (160 100
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (158 2
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (144 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (142 142
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (141 141
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (134 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (121 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (119 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (103 3
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (96 9
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (91 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (53 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (51 51
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (46 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (34
    22
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (27
    3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (22 22
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (22
  22
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (22
    22
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (22 22
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (22
  22
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (22
    22
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (22
   22
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (22
  22
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (22
   22
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (22 22
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (17 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (12 12 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-HIGH
 (4503 183
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (4050 180
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3076
  7
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (3045 66
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1776 6
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (847 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (798 54
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (712 117
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (702 117
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (624 24
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (584 38
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (480 6
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (421 27
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (396 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (335 335
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (335 335
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (332 42
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (331 27
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (294 294
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (294 294
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (242 42
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (240 240
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (234 234 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (234 234
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (234 234
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (234 234
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (234 234
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (220 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (190 19
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (189 189
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (189 189
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (189 189
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (183 183
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (183 183
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (180 180
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (156 6
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (153 153
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (138 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (134 134
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (114 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (109 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (96 96
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (92 92
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (90 90
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (90 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (79 79
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (79 79
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (77 77
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (77 77
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (74 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (72 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (62 62
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (60 60
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (59 59
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (59 59
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (59 59
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (54
    18
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (46
  46
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (46
  46
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (42
    42
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (42 42
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (42 42
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (41
    41
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (41
   41
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (38 38
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (31 31
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (30 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (24 24 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (19 19 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19
   19
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (10 10
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6
  6
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR
 (3156 117
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2869 117
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (506 84
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (504 84
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (445 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (442 442
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (442 442
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (442 442
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (400 400
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (307 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (296 182
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (264 12
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (196 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (185 155
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (182 182
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (178 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (170 32
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (168 168 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (168 168
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (168 168
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (168 168
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (168 168
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (168 168
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (135 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (133 133
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (132 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (122 122
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (122 122
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (122 122
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (117 117
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (117 117
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (117 117
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (107 107
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (105 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (102 102
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (95 95
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (60 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (58
    58
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (58 58
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (53 53
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (52 52
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (48 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (44 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (35 35
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (27 27
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (27 27
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (27 27
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (27 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (23 23
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (23 23
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (19 19
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (19 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (14
   14
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (13 13 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (12 12 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11 11
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (11 11
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-UNDER-IFF
 (98 4 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (44 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (12 6
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR
 (830 50
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (695 50
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (567 27
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (432 432
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (432 432
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (432 432
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (400 400
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (390 2
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (289 16
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (260 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (160 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (103 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (100 100
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (93 93
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (71 71
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (55 55
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (55 55
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (55 55
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (52 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (50 50
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (50 50
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (46 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (35 35
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (12 12 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR
 (3404 19
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (2470 187
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1950 187
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1308 108
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (888 19
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (887 68
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (794 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (563 563
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (563 563
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (563 563
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (450 450
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (338 13
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (294 19
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (277 277
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (277 277
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (253 11
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (209 209
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (209 209
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (209 209
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (187 187
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (187 187
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (187 187
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (154 154
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (153
     153
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (153 153
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (146 146
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (117 117
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (117 117
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (117
     117
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (117 117
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (114 114
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (109 109
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (103 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (83 83
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (81 81
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (80 80
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (80 80
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (80 80
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (65 65
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (59 59
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (37 37 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (13 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (9
  9
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR
 (998 58
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (842 58
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (589 28
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (484 3
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (443 443
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (443 443
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (443 443
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (403 21
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (378 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (240 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (203 9 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (167 1
      (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (142 142
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (141 141
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (119 77
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (109 109
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (109 109
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (109 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (108 108
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (102 3
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (88 1
     (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (87 3
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (84 3
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (80 80
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (78 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (75 7
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (74 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (65 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (64 64
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (64 64
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (64 64
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (59 34
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (58 58
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (58 58
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (58 58
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (45 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (43 1
     (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (40 40
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (35 35
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (22 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (13
  13
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (13 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (9
   9
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (6
   6
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1
    (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (1 1 (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (91264 2530
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (85736 2488
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (37977 2335
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (24351 1500
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (19596 7473
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (15018 2530
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (15003 2530
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (9672 6837
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (7487 7487
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (7465 7465
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (7465 7465
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (7465 7465
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (7465 7465
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (7463 7463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (7463 7463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (5076 126
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4948 4948 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4948 4948
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4948 4948
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4948 4948
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4948 4948
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (4698 126
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2530 2530
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2530 2530
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2530 2530
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (2530 2530
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2530 2530
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2530 2530
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2488 2488
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2363 2363
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2335 2335
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2335 2335
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2335 2335
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1739 47
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (1720 430
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1598 47
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (1550 1550
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1550 1550
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1550 1550
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1508 1508
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1500 1500
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1214 58
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (898
    898
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (898 898
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (898 898
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (898
     898
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (898 898
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (898 898
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (898 898
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (898 898
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (615 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (594 594
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (594 594
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (594 594
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (594 594
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (567 567
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (567 567
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (567 567
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (567 567
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (567 567 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (552 552
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (540 540 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (497 497
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (497
    497
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (476 14
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (476 14
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (443 14
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (432 432
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (432 432
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (432 432
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (430 430
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (430
     430
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (430 430
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (430 430
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (430 430
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (430
     430
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (430 430
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (376 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (374 58
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (336 336
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (336 336
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (325 58
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (308 14
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (280 280
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (221 221
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (201 201
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (168 168
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (168 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (167 2
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (126
  126
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (126
     126
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (116
    116
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (110 110
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (109
   109
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (109 109
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (99 6
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (85 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (80 10
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (78 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (76 76
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (76 76
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (73 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (71 71
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (67 67
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (67 67
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (63 63
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (63 63
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (58 58
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (57
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (56 14
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (34 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (27 27
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (26 26 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (24 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (15 15
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (14 14
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (14 14
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (14
    14
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (14
   14
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (14
  14
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14
   14
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (14
  14
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (12
    12
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (964 31
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (891 31
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (609 40
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (499 31
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (440 20 (:DEFINITION NOT))
 (288 2
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (244 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (242
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (190 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (189 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (175 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (173 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (157 107
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (157
     2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (143 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (131 91
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (126 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (107 107
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (107 2
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (99 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (95 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (81 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (55
    4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (40 40
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (40 40
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (40 40
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (31 31
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (21 21
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (20 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (19 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (18 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12
    5
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (10
    10
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1836 60
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1694 60
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1218 80
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (998 62
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (836 38 (:DEFINITION NOT))
 (576 4
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (484
  4
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (476 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (368 60
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (366 60
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (350 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (346 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (314
     4
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (308 208
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (286 20
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (258 178
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (252 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (214 4
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (208 208
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (198 16
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (190 8
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (162 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (120 120 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (120 120
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (120 120
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (120 120
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (120 120
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (110
    8
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (82 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (80 80
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (80 80
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (80 80
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (78 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (62 62
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (60 60
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (60 60
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (60 60
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (42 42
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 8
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (36 8
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24
    10
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20
  20
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (20 20
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (20
    20
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (16
  16
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10
    10
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (8
  8
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (8
   8
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (1500 77
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1244 92
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1014 33
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (936 33
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (568 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (242
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (216 216
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (216 216
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (216 216
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (216 216
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (215 215
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (214 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (190 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (189 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (184 184
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (184 184
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (132 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (127 1
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (117 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (100 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (94 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (92 92
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (90 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (86
    30
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (86
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (84 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (77 77
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (77 77
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (77 77
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (74 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (73 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (70 70
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (58
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (53 53
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (46 46
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (42 3
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (42 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (37 37
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (35 35
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (35 35
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (35 35
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (33 33
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (33 33
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31 31
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (31
    31
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (22 22 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (1076 33
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (999 33
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (777 47
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (711 67
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (380 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (242
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (202 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (201 33
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (181 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (161 161
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (160 160
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (132 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (130 130
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (117 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (108 93
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (100 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (86
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (83 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (74 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (67 67
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (66 66 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (66 66
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (66 66
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (66 66 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (66 66
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (58
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (47 47
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (47 47
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (47 47
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (47 47
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (47 22
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (42 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (37
    29
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (33 33
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (29 29
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (29
    29
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (29
  29
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (29
    29
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (29
  29
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (29
  29
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (29
  29
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (29
  29
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (29
    29
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (29
    29
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (29
    29
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (29
  29
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (29
    29
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (29
  29
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (29
  29
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (29
    29
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (21
    21
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (17 17
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16
    16
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (9 9
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP
 (1020 32
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (945 32
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (916 62
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (842 80
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (435 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (365 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (252 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (242
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (242
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (220 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (196 32
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (195 32
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (194
     3
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (182 117
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (181 14
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (177 177
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (176 176
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (163 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (148 148
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (148 148
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (132 3
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (124 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (120 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (117 5
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (80 80
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (73 4
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (58 33
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (57
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (50 50
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (44
    30
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (33 33
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (32 32
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (32 32
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (32 32
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (32 32
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (32 32
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (32 32
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
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   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
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  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
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  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
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    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
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   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
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    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
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  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
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    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
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  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
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    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
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  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
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  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
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  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
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   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
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   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
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   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (27
    27
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (19 19
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16
    16
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14
  14
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (13 13 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5
  5
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3
  3
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-HIGH
 (6408 216
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (5892 216
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1477 49
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1477
  7
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1124 186
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1116 186
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (917 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (888 3
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (624 24
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (598 37
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (462 21
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (406 27
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (402 24
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (388 388
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (388 388
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (372 372 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (372 372
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (372 372
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (372 372
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (372 372
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (362 362
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (362 362
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (326 27
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (317 42
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (316 316
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (240 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (237 42
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (232 22
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (219 219
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (219 219
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (219 219
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (217 22
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (216 216
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (216 216
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (216 216
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (201 201
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (193 193
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (114 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (109 109
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (109 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (105 21
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (99 99
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (86 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (85 85
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (85 85
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (84 84
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (84
    84
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (84 84
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (84 84
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (84 21
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (83 83
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (83 83
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (78 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (65 65
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (63 63
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (51 51
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (51 51
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (47 47
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (47 47
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (47 47
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (46
  46
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (46
  46
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (41
    41
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (41
   41
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (30 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (27
    9
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (26 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24 24 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (24 24
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 23
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22
   22
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (21 21
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (21 21
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (8 8
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3
  3
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR
 (3408 144
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3060 136
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (614 4
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (506 84
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (504 84
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (472 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (448 448
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (448 448
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (448 448
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (400 400
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (356 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (306 197
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (264 12
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (205 165
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (197 197
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (197 197
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (188 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (176 38
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (168 168 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (168 168
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (168 168
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (168 168
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (168 168
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (151 151
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (151 151
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (151 151
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (144 144
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (144 144
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (136 136
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (135 135
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (135 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (124 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (116 116
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (107 107
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (107 107
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (97 5
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (68 68
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (60 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (58
    58
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (58 58
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (58 58
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (52 52
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (48 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (44 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (35 35
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (27 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (26 26
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (26 26
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (26 26
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (21 21
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (21 21
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (21 21
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (19 19
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (19 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (15 15 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (14
   14
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11 11
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (11 11
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 8 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-UNDER-IFF
 (98 4 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (44 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (12 6
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR
 (1165 109
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (903 86
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (780 4
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (532 49
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (454 454
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (454 454
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (454 454
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (400 400
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (365 29
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (352 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (320 4
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (200 200
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (134 134
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (116 116
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (116 116
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (116 116
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (109 109
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (109 109
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (106 106
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (104 4
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (103 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (92 4
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (89 89
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (86 86
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (67 67
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (65 65
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (63 63
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR
 (6808 38
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (4536 402
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3437 384
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1810 181
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1776 38
       (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (1530 123
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1372 479
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (636 636
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (636 636
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (636 636
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (624 24
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (588 38
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (506 22
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (479 479
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (479 479
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (450 450
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (443 443
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (443 443
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (443 443
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (402 402
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (402 402
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (384 384
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (330 330
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (330 330
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (313 313
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (256 256
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (225 225
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (209 209
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (153
     153
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (153 153
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (145 145
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (138 138
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (138 138
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (138 138
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (117 117
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (117 117
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (117
     117
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (117 117
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (105 105
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (105 105
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (105 105
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (103 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (83 83
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (81 81
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (73 73
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (73 73 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (65 65
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (40 40
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (40 40
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (40 40
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (40 40
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (36 36
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (36 36
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 24 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (22
  22
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (18
  18
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR
 (1445 124
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1143 101
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (968 6
      (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (576 51
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (501 35
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (487 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (480 6
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (466 466
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (466 466
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (466 466
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (233 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (202 202
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (183 183
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (167 1
      (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (156 6
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (138 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (136
     136
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (136 136
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (133 133
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (133 133
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (133 133
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (131 89
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (124 124
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (124 124
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (122 122
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (109 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (108 18
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104
     104
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (102 3
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (101 101
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (98 98
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (88 1
     (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (87 3
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (84 3
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (78 78
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (77 77
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (75 7
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (74 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (72 72
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (68 43
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (65 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (45 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (43 43
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (43 43
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (43 1
     (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (25 25
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (25 25
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (22 1
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (17 17 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (13
  13
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (13 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (12 2
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (9
   9
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (9 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (6
   6
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
  2
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1
    (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (1 1
    (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (1 1 (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (91264 2530
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (85736 2488
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (37977 2335
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (24351 1500
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (19596 7473
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (15018 2530
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (15003 2530
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (9672 6837
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (7487 7487
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7473 7473
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (7465 7465
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (7465 7465
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (7465 7465
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (7465 7465
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (7463 7463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (7463 7463
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (5076 126
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4948 4948 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4948 4948
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4948 4948
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4948 4948
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4948 4948
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (4698 126
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (2530 2530
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2530 2530
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2530 2530
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (2530 2530
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2530 2530
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2530 2530
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2488 2488
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2363 2363
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2335 2335
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2335 2335
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2335 2335
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1739 47
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (1720 430
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1598 47
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (1550 1550
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1550 1550
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1550 1550
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1508 1508
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1500 1500
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1214 58
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (898
    898
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (898 898
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (898 898
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (898
     898
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (898 898
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (898 898
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (898 898
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (898 898
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (615 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (594 594
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (594 594
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (594 594
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (594 594
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (567 567
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (567 567
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (567 567
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (567 567
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (567 567 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (552 552
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (540 540 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (497 497
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (497
    497
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (476 14
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (476 14
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (443 14
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (432 432
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (432 432
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (432 432
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (430 430
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (430
     430
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (430 430
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (430 430
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (430 430
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (430
     430
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (430 430
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (376 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (374 58
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (336 336
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (336 336
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (325 58
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (308 14
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (280 280
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (221 221
      (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (201 201
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (168 168
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (168 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (167 2
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (126
  126
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (126
     126
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (116
    116
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (110 110
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (109
   109
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (109 109
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (99 6
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (85 4
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (80 10
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (78 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (76 76
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (76 76
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (73 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (71 71
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (67 67
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (67 67
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (63 63
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (63 63
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (58 58
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (58 58
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (57
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (56 14
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (34 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (27 27
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (26 26 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (26 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (24 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (15 15
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (14 14
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (14 14
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (14
    14
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (14
   14
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (14
  14
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14
   14
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (14
  14
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (12
    12
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (964 31
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (891 31
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (609 40
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (499 31
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (440 20 (:DEFINITION NOT))
 (288 2
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (244 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (242
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (190 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (189 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (175 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (173 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (157 107
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (157
     2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (143 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (131 91
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (126 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (107 107
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (107 107
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (107 2
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (99 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (95 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (81 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (55
    4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (40 40
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (40 40
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (40 40
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (31 31
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (23 1
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (21 21
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (20 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (19 1
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (19 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (18 4
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12
    5
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (10
    10
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1836 60
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1694 60
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1218 80
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (998 62
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (836 38 (:DEFINITION NOT))
 (576 4
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (484
  4
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (476 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (368 60
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (366 60
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (350 10
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (346 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (314
     4
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (308 208
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (286 20
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (258 178
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (252 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (214 4
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (208 208
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (198 16
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (190 8
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (162 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (120 120 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (120 120
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (120 120
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (120 120
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (120 120
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (110
    8
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (82 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (80 80
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (80 80
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (80 80
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (78 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (62 62
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (60 60
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (60 60
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (60 60
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (60 60
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (60 60
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (46 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (42 42
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (40 8
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (36 8
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24
    10
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20
  20
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (20 20
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (20
    20
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (16
  16
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10
    10
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (8
  8
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (8
   8
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (1500 77
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1244 92
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1018 34
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (937 34
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (568 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (243
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (216 216
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (216 216
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (216 216
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (216 216
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (215 215
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (215 215
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (214 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (190 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (189 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (184 184
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (184 184
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (132 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (127 1
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (117 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (100 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (94 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (92 92
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (90 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (86
    30
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (86
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (84 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (77 77
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (77 77
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (77 77
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (74 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (73 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (70 70
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (58
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (53 53
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (46 46
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (42 3
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (42 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (37 37
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 34
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (34 34
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (34 34
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31 31
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (31
    31
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (28 28
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (28 28
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (22 22 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (18
    18
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (1020 32
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (945 32
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (777 47
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (688 66
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (369 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (243
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (196 32
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (195 32
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (181 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (157 157
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (157 157
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (157 157
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (157 157
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (156 156
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (156 156
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (155 155
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (132 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (117 1
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (100 90
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (100 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (86
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (83 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (79 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (74 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (58
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (47 47
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (47 47
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (47 47
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (47 47
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (46 21
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (42 42
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (42 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (37
    29
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (32 32
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (32 32
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (32 32
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (32 32
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (32 32
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (32 32
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (31 31
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (30 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (29 29
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (29
    29
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (29
  29
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (29
    29
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (29
  29
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (29
  29
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (29
  29
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (29
  29
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (29
    29
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (29
    29
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (29
    29
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (29
  29
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (29
    29
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (29 29
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (29
  29
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (29
  29
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (29
    29
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (29
  29
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (29
   29
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (29
  29
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (29
   29
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (29 29
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (21 21
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (21
    21
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (17 17
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16
    16
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (14 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3
  3
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP
 (1020 32
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (945 32
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (916 62
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (795 78
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (416 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (365 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (243
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (242
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (220 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (217 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (196 32
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (195 32
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (194
     3
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.FUNCTION-ARGS))
 (181 14
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (175 115
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (172 172
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (171 171
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (171 171
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (163 5
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (158 2
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (144 144
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (144 144
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (132 3
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (124 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (120 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (117 5
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (78 78
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (64 64
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (62 62
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (57
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (55 30
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (50 50
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (46 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (45 45
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (45 45
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (45 45
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (44
    30
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (41 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (39 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (38 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (35 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (32 32
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (32 32
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (32 32
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (32 32
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (32 32
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (32 32
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (30 30
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (30
  30
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (30
    30
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (30
  30
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (30
    30
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (30
  30
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (30
   30
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (30
  30
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (30
   30
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (30 30
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (26
    26
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (16
    16
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14
  14
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (14
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (12 12 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (11 11
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5
  5
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1 1
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-HIGH
 (6795 252
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (6183 249
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3070
  7
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (3043 64
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1776 6
       (:REWRITE MILAWA::EQUAL-OF-LOGIC.FUNCTION-REWRITE))
 (1124 186
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1116 186
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1052 433
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (748 52
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (702 27
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (540 36
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (480 6
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-THREE-ARGS))
 (462 21
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (433 433
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (433 433
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (406 27
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (392 392
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (392 392
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (372 372 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (372 372
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (372 372
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (372 372
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (372 372
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (337 337
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (326 27
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (317 42
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (258 258
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (258 258
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (258 258
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (252 252
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (252 252
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (249 249
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (237 42
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (232 22
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (222 222
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (217 22
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (193 193
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (156 6
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (138 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (114 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (111 111
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (109 109
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (109 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (105 105
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (105 21
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (86 23
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (85 85
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (85 85
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (84
    84
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (84 84
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (84 84
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (84 84
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (84 21
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (83 83
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (83 83
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (65 65
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (63 63
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (62 62
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (62 62
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (62 62
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (54
    18
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (52 52
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (52 52
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (52 52
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (51 51
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (51 51
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (46
  46
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (46
  46
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (46 46
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (41
    41
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (41
   41
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (41 41
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (38 38
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (36 36
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (30 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (27
    27
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (27 27 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (23 23
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22
   22
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (21 21
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (21 21
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (19 19 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (8 8
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6
  6
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (5
  5
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
