(MILAWA::TACTIC.CONDITIONAL-EQSUBST-OKP
 (913 8
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (831 45
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (713 42
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (681 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (532 8
      (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-LOGIC.TERM-LISTP))
 (476 29
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (424 10
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (390 8
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (383 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (367 8
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (365 24
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (363 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (359 8
      (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (348 6
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (324 30
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (323 20
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (321 9
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (301 22
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (285 39
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (277 8
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (276 30
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (268 22
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (264 8
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (262 16
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (260 9
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-LOGIC.TERM-LISTP))
 (247 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (246 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (221 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (205 73
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (193 17
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-CDR-WHEN-DEFINITION-LISTP))
 (181 12
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (175 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (169
    17
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (148 148
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (148 148
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (146 12
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (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))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (120 3
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (111 4
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (109 19
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (106 19
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (105 23
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (100 9
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (96 8
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (92 2
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (88 88
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (88 88
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (88 88
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (78 5
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (76 76 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (76 76 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (76 76
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (72 22
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (70 2
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (53 53
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (53 53
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (53 53
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (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))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (45 45
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (44
    20
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (43
  43
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (43 43
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (42 42
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (34
  34
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (34 4
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (31 31
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (31 31
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (31 4
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (30
    30
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (27 27
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (27 9
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22
  22
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (22
  22
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (22
  22
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22
   22
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (22
  22
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (22 22
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (21 21 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (21 21
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (20 20
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (20 20
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (20
    20
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (20
   20
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (20 20
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (19
    19
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (13 13
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (13 13
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (13 13
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (13 13
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (12 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12
    3
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-OF-CDR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (10 10
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (9 9 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (9
   9
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (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 9
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (8
   8
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (8 8
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (7 7
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (2 2 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (2 2
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1
  1
  (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-ENV-OKP
 (1031 6
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (675 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (549 6
      (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-LOGIC.TERM-LISTP))
 (495 41
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (492 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (489 15
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (474 6
      (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (451 33
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (450 24
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (404 6
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (390 6
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (372 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (350 16
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (343 16
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (339 12
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (325 20
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (303 9
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (299 19
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (286 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (263 6
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-LOGIC.TERM-LISTP))
 (249 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (232
    16
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (230 12
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-CDR-WHEN-DEFINITION-LISTP))
 (229 4
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (204 14
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (198 6
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (197 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (179 5
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (178 6
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (159 6
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (155 5
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (130 130
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (130 130
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (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-LOGIC.LAMBDAP-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (126 8
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (124 1
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (122 2
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (113 3
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (111 1
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (108 44
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (103 16
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (101 16
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (100
  2
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (99 99
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (99 99
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (99 99
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (92 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (87 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (72 6
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (72 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (58 16
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (56 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (54 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (54 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (49 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (47 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (43 1
     (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (43 1
     (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (42
    18
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (41
  41
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (35 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (33
  33
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (33 33
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (32 32 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (32 32
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (32 32
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (32 32 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (32 32
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (31 1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (24
    24
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (22 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (22 5
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (19 19
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (16
  16
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (16
  16
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (16
  16
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16
   16
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (16
  16
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (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.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (12 12
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (11 11 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (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-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (9 3
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (8 2
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (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.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (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-MALFORMED-CHEAP))
 (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.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (5 5
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (5 5
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (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::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 1
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-OF-CDR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (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-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-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::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2
  2
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-TACTIC.SKELETONP-OF-TACTIC.SKELETON->HISTORY))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (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::BOOLEANP-OF-TACTIC.CONDITIONAL-EQSUBST-OKP
 (469 3
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (436 19
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (385 19
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (321 69
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (261 3
      (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-LOGIC.TERM-LISTP))
 (213 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (204 3
      (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (202 3
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (199 13
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (195 3
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (192 12
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (186 6 (:DEFINITION NOT))
 (177 6
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (175 16
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (165 15
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (165 6
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (164 55
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (162 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (158 8
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (156 6
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (150 4
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (143 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (126 6
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (121 1
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (118 3
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-LOGIC.TERM-LISTP))
 (117 40
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (109 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (108 1
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (107 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (107 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (101 2
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (99 4
     (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (99 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (91 6
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CDR-WHEN-DEFINITION-LISTP))
 (81 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (79
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (72 72
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (72 72
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (69 69
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (63 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (60 1
     (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (55 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (50 1
     (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (46 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (44 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (38 38
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (38 38
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (38 38
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (37 1
     (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (36 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (36 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (35 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (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))
 (29 29
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (29 29
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (29 29
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (29 8
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (27 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (27 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (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))
 (19 19
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 16
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (15
  15
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (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::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (12 12
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (12 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (9 3
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (8
  8
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8
   8
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (8
  8
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (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.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (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::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (4 4
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (4 3
    (:REWRITE MILAWA::FORCING-CONS-LISTP-OF-TACTIC.SKELETON->GOALS))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 1
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-OF-CDR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (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.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3
   3
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (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.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (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-TRUE-LISTP-OF-TACTIC.SKELETON->GOALS))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3
  3
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (3 3
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-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.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2
  2
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-TACTIC.SKELETONP-OF-TACTIC.SKELETON->HISTORY))
 (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::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::BOOLEANP-OF-TACTIC.CONDITIONAL-EQSUBST-ENV-OKP
 (351 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (314 15
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (314 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (242 3
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (221 3
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (209 12
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (203 6
      (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (176 3
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (152
  3
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (114 26
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (111 2
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (110
    6
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (105 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (68 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (64 25
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (64 1
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (62 1
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (53 26
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (49 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (31 1 (:DEFINITION NOT))
 (29 29
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (29 29
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (28 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (27 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (27 6
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (16
    7
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (15
  15
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (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::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (12 12
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-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))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (9 3
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (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))
 (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.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::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (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))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (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.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-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-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-MALFORMED-CHEAP))
 (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::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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))
 (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1 1
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (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::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-TAC
 (192 12
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (105 1
      (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (77 11
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (68 9
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (68 9
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (60 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (59 11
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (47 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (47 8
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (41 2
     (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (37 1
     (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (36 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (36 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (33 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (31 1 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (24 8
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (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))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (14 14
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (14
  14
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (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::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (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.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (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))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (8
   8
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (8 8
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (8 8
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-LIST-LISTP-OF-RW.CCSTEP-LIST-LIST-OBLIGATIONS-FREE))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-SUPERSET-OF-SOME-IS-NON-CONSP))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1 1
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (1 1
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP)))
(MILAWA::FORCING-TACTIC.SKELETONP-OF-TACTIC.CONDITIONAL-EQSUBST-TAC
 (204 2
      (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (187 7
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (102 20
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (74 2
     (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (68 2
     (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (65 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (65 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (62 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (62 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (47 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (47 8
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (31 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (31 7
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (27 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (21 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (20 20
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (20 20
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (20 20
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (20 20
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (20 20
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (20 20
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (20 20
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (20 20
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (18 18
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14
  14
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (10 10
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (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.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (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 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (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.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (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))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-LIST-LISTP-OF-RW.CCSTEP-LIST-LIST-OBLIGATIONS-FREE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (3
   3
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP)))
(MILAWA::FORCING-TACTIC.CONDITIONAL-EQSUBST-OKP-OF-TACTIC.CONDITIONAL-EQSUBST-TAC
 (303 3
      (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (186 6
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (114 24
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (108 3
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (99 3
     (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (96 3
     (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (93 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (93 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (54 6
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (42 6
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (30 6
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (24 24
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (21 21
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (18 6
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (12 12
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (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.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (6
   6
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (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::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (6
  6
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (3 3
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (3 3
    (:REWRITE MILAWA::FORCING-CONS-LISTP-OF-TACTIC.SKELETON->GOALS))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP)))
(MILAWA::FORCING-TACTIC.CONDITIONAL-EQSUBST-ENV-OKP-OF-TACTIC.CONDITIONAL-EQSUBST-TAC
 (873 3
      (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (357 3
      (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (261 3
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (204 2
      (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (195 3
      (:REWRITE MILAWA::UNIQUEP-WHEN-MUTUALLY-DISJOINTP-AND-CONS-LISTP))
 (192 36
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (192 3
      (:REWRITE MILAWA::MUTUALLY-DISJOINTP-WHEN-NOT-CONSP))
 (186 6 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (174 3
      (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (155 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (138 3
      (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (93 3
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (74 2
     (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (68 2
     (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (64 2
     (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (62 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (61 22
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (39 39
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (39 39
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (36 36
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-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))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (9 3
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (8 8
    (:REWRITE MILAWA::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-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::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-ATBLP-WHEN-MALFORMED-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (3 3
    (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (3 3
    (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (3 3 (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (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))
 (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::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (3 3
    (:REWRITE MILAWA::DOMAIN-OF-CLAUSE.CASES))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-CONS-LISTP-OF-TACTIC.SKELETON->GOALS)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-LEMMA1
 (13430 929
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (9592 178
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (9206 178
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (6451 481
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (3474 992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (3210 85
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (2490 1262
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (1578 178
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1269 1269
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1262 1262
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (1176 992
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1170 1170
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1068 178
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (992 992
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (992 992
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (992 992
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (975 975
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (975 975
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (929 929
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (929 929
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (929 929
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (900 900
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (900 900
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (731 701
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (611 205
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (595 17 (:REWRITE MILAWA::|(< 1 (len x))|))
 (583 583
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (481 481
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (417 417
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (417 417
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (339 339
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (339 339
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (322 322 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (322 322
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (322 322
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (261 66
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (251 85
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (214 214
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (214 214
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (214 214
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (214 214
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (205
    205
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (205 205
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (205 205
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (205
     205
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (205 205
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (205 205
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (205 205
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (205 205
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (178 178
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (178 178
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (178 178
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (178 178
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (178 178
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (178 178
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (178 178
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (168 85
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (166 166
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (166 166
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (166 166
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (85 85
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (85 85
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (85 85
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (85 85 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (85 85
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (85
  85
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (85 85
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (83 83
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (77 77
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (71 71
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (65 65
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (65 65
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (65 65
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (51 17 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (30 30
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (30 30
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (17 17
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (17 17
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (17 17
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (13 13
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (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::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))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-LEMMA1-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-TACTIC.CONDITIONAL-EQSUBST-LEMMA1
 (7260 615
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (3461 311
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2336 44
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2240 44
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1509 429
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1425 795
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (1406 37
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (795 795
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (779 779
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (717 717
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (615 615
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (615 615
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (615 615
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (503 429
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (436 436
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (436 436
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (429 429
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (429 429
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (429 429
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (425 425
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (425 425
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (384 44
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (348 348
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (311 311
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (283 283
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (265 265
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (265 265
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (264 44
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (252 84
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (140 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (111 37
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (109 109
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (109 109
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (109 109
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (109 109
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (104 26
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (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))
 (80 80 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (80 80 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (80 80
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (74 74
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (74 74
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (74 74
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (74 37
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (44 44
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (44 44
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (44 44
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (44 44
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (37 37
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (37 37
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (37 37
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (37 37 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (37 37
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (37
  37
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (37 37
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (37 37
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (30 30
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (26 26
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-TACTIC.CONDITIONAL-EQSUBST-LEMMA1
 (16128 1200
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (7688 608
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (5840 110
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (5600 110
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3411 979
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (3002 79
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (2985 1569
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (1569 1569
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (1550 1550
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1422 1422
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1200 1200
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1200 1200
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1200 1200
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1137 979
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (979 979
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (979 979
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (979 979
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (969 969
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (969 969
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (969 969
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (969 969
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (960 110
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (689 689
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (660 110
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (654 654
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (608 608
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (546 182
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (523 523
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (523 523
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (350 10 (:REWRITE MILAWA::|(< 1 (len x))|))
 (246 246
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (246 246
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (246 246
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (246 246
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (237 79
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (232 58
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (210 210
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (210 210
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (200 200 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (200 200
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (200 200
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (182
    182
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (182 182
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (182 182
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (182
     182
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (182 182
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (182 182
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (182 182
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (182 182
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (158 158
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (158 158
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (158 158
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (158 79
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (110 110
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (110 110
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (110 110
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (110 110
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (110 110
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (110 110
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (110 110
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (79 79
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (79 79
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (79 79
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (79 79
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (79 79 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (79 79
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (79
  79
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (79 79
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (79 79
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (69 69
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (58 58
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (58 58
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (58 58
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (30 10 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 20
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 20
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (10 10
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-TACTIC.CONDITIONAL-EQSUBST-LEMMA1
 (7424 779
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (4015 409
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2336 44
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2240 44
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1737 465
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1623 993
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (1411 42
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (993 993
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (971 971
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (893 893
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (779 779
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (779 779
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (779 779
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (666 146
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (604 16
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (547 441
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (465 465
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (465 465
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (465 465
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (461 461
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (437 437
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (436 436
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (436 436
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (409 409
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (384 44
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (335 295
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (331 331
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (331 331
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (264 44
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (263 95
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (208 16
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (208 16
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (184 4
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (146 146
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (146 146
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (140 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (115 41
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (109 109
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (109 109
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (109 109
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (109 109
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (104 26
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (96 16
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (95
    95
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (95 95
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (95 95
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (95 95
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (95 95
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (95 95
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (95 95
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (95 95
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (84 84
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (80 80 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (80 80 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (80 80
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (78 41
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (44 44
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (44 44
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (44 44
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (44 44
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (44 44
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (42 42 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (42 42
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (41 41
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (41 41
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (41 41
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (41
  41
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (41 41
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (37 37
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (37 37
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (26 26
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (26 26
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (16
  16
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (16 16
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (16 16
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (16 16
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (16 16
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (16 16
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (16 16
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (16
   16
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (16
  16
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (16 16
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (16 16
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (16 16
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (16
  16
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (16 16
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (16 16
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (16 16
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (16
  16
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (16 16
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (16
  16
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (16
  16
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (16
  16
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (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::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::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (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.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-LEMMA1-OKP
 (58445 1091
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (56120 1098
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (23994 774
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (11442 3049
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (10792 1091
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (7483 168
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (6481 1091
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (5005 143 (:REWRITE MILAWA::|(< 1 (len x))|))
 (3534 2784
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (3059 3059
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (3059 3059
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3049 3049
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (3042 3042
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (3042 3042
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (3042 3042
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (3042 3042
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2899 2899
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2899 2899
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (2156 44
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (2024 44
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (2013 2013
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2013 2013
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1870 1870 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1870 1870
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1870 1870
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1701 567
       (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (1660
     10
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1587 53
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (1098 1098
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1091 1091
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1091 1091
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1091 1091
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1091 1091
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1091 1091
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1091 1091
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (920 20
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (823 823
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (823 823
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (774 774
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (774 774
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (774 774
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (765 765
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (765 765
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (765 765
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (593 593
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (567
    567
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (567 567
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (567 567
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (567
     567
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (567 567
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (567 567
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (567 567
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (567 567
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (471 157
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (470 20
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (429 143
      (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (406
    406
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (396 99
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (320 320
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (320 320
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (310 10
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (297 99
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (265 53
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (265 53
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (198 99
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (196 196
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (168 168 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (168 168
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (157 157
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (155 155
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (155 155
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (150 150
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (150 150
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (150 150
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (150 150
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (150 150
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (150 150
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (150 150
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (150 150
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (150 150 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (143 143
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (143 143
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (143 143
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (143 143
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (143 143
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (143 143
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (143 143
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (143 143
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (143 143
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (121
   121
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (121 121
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (120 20
      (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (99 99
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (99 99
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (99 99
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (99 99
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (99 99
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (99 99
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (99
  99
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (99 99
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (99 99
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (81 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (80 20
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (79 79
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (63 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (62 62
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (62 62
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (60
  60
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (60 60
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (55 55
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (55 55
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (55 55
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (55 55
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (54 54
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (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))
 (53 53
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (53 53
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (33 33
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (25 25
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (23
  23
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (23
    23
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (21 21
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (20 20
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (20 20
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (20 20
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (20 20
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (20 20
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (20 20
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (20 20
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (7 7
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-TACTIC.CONDITIONAL-EQSUBST-LEMMA1-OKP
 (984 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (936 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (592 19
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (465 15 (:DEFINITION NOT))
 (189 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (183 55
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (141 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (70 55
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (70 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (67 52
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (55 55
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (55 55
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (53 53
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (38 38 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (38 38 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (38 38
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (24 8
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (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))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (11 11
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (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::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (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.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2
  2
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-LEMMA1-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1840 40
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1748 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1184 38
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (868 28 (:DEFINITION NOT))
 (366 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (354 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (282 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (240 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (140 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (136 106
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (130 100
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (106 106
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (106 106
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (76 76
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (72 72 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (72 72 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (72 72
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (66 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (48 16
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (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 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))
 (22 22
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-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.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14
    14
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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))
 (12 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (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::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::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (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::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4
  4
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-TACTIC.CONDITIONAL-EQSUBST-LEMMA1-OKP
 (1184 38
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (984 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (936 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (426 98
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (381
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (189 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (189 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (98 98
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (98 98
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (75 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (70 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (64 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (50
    18
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (45 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (45 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (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))
 (44
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (38 38 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (38 38 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (38 38
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (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))
 (32 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (23 23
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (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))
 (21 21
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (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::EQUAL-OF-BOOLEANS-REWRITE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (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.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-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.IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
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   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
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  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (18
  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
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    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
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  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (18
  18
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
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  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-LEMMA-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-TRACE-OKP))
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   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2B-OKP))
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   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1B-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1A-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0B-OKP))
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   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0A-OKP))
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  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP))
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  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP))
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     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-4-OKP))
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     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-3-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-2-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-1-BLDR-OKP))
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   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
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  18
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SPLIT-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-SPLIT-BLDR-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-LIMSPLIT-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.PROVE-ARBITRARY-FORMULA-FROM-ITS-CLAUSE-OKP))
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     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
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     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.LIMSPLIT-CUTOFF-BLDR-NICE-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-OKP))
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     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-2-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-1-OKP))
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  18
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-UPDATE-CLAUSE-BLDR-OKP))
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  18
  (:REWRITE
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   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-CASES-LEMMA1-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
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     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.CASES-LEMMA1-BLDR-OKP))
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  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
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  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
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  18
  (:REWRITE
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
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     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
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   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
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    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
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   18
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
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    18
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (18 18
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
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     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
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  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
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     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
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  18
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
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     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
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     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP))
 (18 18
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
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  18
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-TWIDDLE-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA3-BLDR-OKP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
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  18
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
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    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.SECOND-CONJUNCT-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))
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   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))
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     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
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     (: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-COMMUTE-OR-THEN-RASSOC-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))
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     (: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.FIRST-CONJUNCT-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-SECOND-CONJUNCT-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-REVAPPEND-DISJUNCTION-LEMMA1-BLDR-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-FIRST-CONJUNCT-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-CONJOIN-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.CONJOIN-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-LEMMA-2-OKP))
 (18
   18
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-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))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (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.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (14 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (9 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-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.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (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.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4
  4
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (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-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-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::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.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-TACTIC.CONDITIONAL-EQSUBST-LEMMA1-OKP
 (984 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (936 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (654 21
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (381
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (321 85
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (189 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (189 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (160 30
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (151 7 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (151 4
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (85 85
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (85 85
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (70 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (58 53
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (45 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (44
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (39 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (38 38 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (38 38 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (38 38
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (38 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (32 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (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::EQUAL-OF-BOOLEANS-REWRITE))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-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
    16
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (17 17
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (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.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-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.IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
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    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-OF-IF-X-Y-Y-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (16
  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (16
  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
 (16
  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-LEMMA-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-TRACE-OKP))
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   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2B-OKP))
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   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1B-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1A-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0B-OKP))
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   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0A-OKP))
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  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP))
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  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-4-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-3-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-2-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-1-BLDR-OKP))
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   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
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  16
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SPLIT-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-SPLIT-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-LIMSPLIT-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.PROVE-ARBITRARY-FORMULA-FROM-ITS-CLAUSE-OKP))
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     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
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     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.LIMSPLIT-CUTOFF-BLDR-NICE-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-OKP))
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     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-2-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-1-OKP))
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  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-UPDATE-CLAUSE-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
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   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-CASES-LEMMA1-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.CASES-LEMMA1-BLDR-OKP))
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  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
 (16
  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
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   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
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    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
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   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
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    16
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (16 16
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
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  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
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  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
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     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
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  16
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-TWIDDLE-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA3-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
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    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.SECOND-CONJUNCT-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))
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   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))
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   16
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
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  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))
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     (: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-COMMUTE-OR-THEN-RASSOC-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))
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     (: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))
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    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.FIRST-CONJUNCT-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))
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  16
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
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  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))
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  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-SECOND-CONJUNCT-OKP))
 (16 16
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
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  16
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-REVAPPEND-DISJUNCTION-LEMMA1-BLDR-OKP))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
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    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))
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  16
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
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  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
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  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))
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  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))
 (16
  16
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-FIRST-CONJUNCT-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-CONJOIN-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.CONJOIN-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-LEMMA-2-OKP))
 (16
   16
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-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 16
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (13
    13
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (13
    13
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (9 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (8 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (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.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.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4
  4
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4
  4
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (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-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-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.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.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (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.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::FORCING-SOUNDNESS-OF-TACTIC.CONDITIONAL-EQSUBST-LEMMA1-OKP
 (984 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (936 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (687 24
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (381
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (351 89
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (207 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (189 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (170 40
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (151 7 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (151 4
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (126 21
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (93 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (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))
 (89 89
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (89 89
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (83 58
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (72 72
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (72 72
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (70 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (69 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (45 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (44
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (39 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (38 38 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (38 38 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (38 38
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (29
    19
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (25 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-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::EQUAL-OF-BOOLEANS-REWRITE))
 (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))
 (19 19
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (19 19
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (19
  19
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (19
  19
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-LEMMA-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-TRACE-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2B-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1B-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0B-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0A-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-4-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-3-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-2-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-2-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-1-BLDR-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SPLIT-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-SPLIT-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-LIMSPLIT-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.PROVE-ARBITRARY-FORMULA-FROM-ITS-CLAUSE-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.LIMSPLIT-CUTOFF-BLDR-NICE-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-2-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-UPDATE-CLAUSE-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-CASES-LEMMA1-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.CASES-LEMMA1-BLDR-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-TWIDDLE-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA3-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.SECOND-CONJUNCT-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (19
  19
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.FIRST-CONJUNCT-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (19
  19
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SECOND-CONJUNCT-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (19
  19
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-REVAPPEND-DISJUNCTION-LEMMA1-BLDR-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (19
  19
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (19
    19
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-FIRST-CONJUNCT-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (19
  19
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (19
    19
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (19
  19
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONJOIN-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (19
   19
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (19
  19
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CONJOIN-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-LEMMA-2-OKP))
 (19
   19
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-LEMMA-1-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (19 19
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (17 17
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (17 17
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13
    13
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (13
    13
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (9 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-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 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (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::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (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.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.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4
  4
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (4
  4
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (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::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (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-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-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.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.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-LEMMA1-HIGH
 (5904 111
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (5662 111
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (966 111
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (885 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (684 18
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (666 111
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (376 3
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (367 70
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (350 10 (:REWRITE MILAWA::|(< 1 (len x))|))
 (288 9 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (239 239
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (239 239
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (239 239
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (223 223
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (223 223
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (212 212
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (212 212
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (202 202 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (202 202
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (202 202
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (191 191
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (171 3
      (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (165 55
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (163 8
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (141 3
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (136 136
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (136 136
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (131 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (111 111
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (111 111
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (111 111
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (111 111
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (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))
 (103 13
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (74 74
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (73 73
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (72 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (70 70
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (65 65
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (56 56
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (56 56
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (56 56
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (55
    55
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (55 55
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (55 55
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (55 55
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (54 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (43 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (42 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CDR-WHEN-DEFINITION-LISTP))
 (36 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (36 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (30 10 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (26 26
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (26 26
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (20 20
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 20
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (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::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (18 18 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (18
  18
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (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 18
     (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (18 5
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (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.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (9 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (8 8
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (8 8
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (7 7
    (: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))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (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.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (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.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (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.VARIABLE-LISTP-OF-CDR-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.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3
   3
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (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::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-BLDR
 (3747 35
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (3181 97
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2955 88
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2111 23
       (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (1411 60
       (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (854 26
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (834 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (754 19
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (638 11
      (:REWRITE MILAWA::CDR-OF-LOGIC.REPLACE-SUBTERM-LIST))
 (624 30
      (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (570 5
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (558 18
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (469 79
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (469 79
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (453 169
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (437 189
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (405 405
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (405 405
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (405 405
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (405 405
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (405 405
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (405 405
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (405 405
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (405 405
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (405 5 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (395 5
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (358 189
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (335 10
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (320 320
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (320 320
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (320 320
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (320 320
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (312 14
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (294 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (276 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (268 164
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (250 5
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (219 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.=LHSES))
 (215 215
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (215 215
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (195 195
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (195 195
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (189 189
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (189 189
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (169 169
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (164 164 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (164 164
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (164 164
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (164 164
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (160 64
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (146 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.VRHSES))
 (140 10
      (:REWRITE MILAWA::CONSP-OF-LOGIC.PEQUAL-LIST))
 (135 5
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (128 128
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (128 128
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (128 128
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (126 126
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (126 126
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (126 126
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (124 64
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (113 64
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (113 8
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (108 12
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (97 97
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (97 97
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (90 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (90 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (89 10
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (88 88
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (86 1
     (:REWRITE MILAWA::CDR-OF-LOGIC.STRIP-CONCLUSIONS))
 (84 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (80 4 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (79 79
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (74 21
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (72 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (70 5
     (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (68 68
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (68 68
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (68 68 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (64
    64
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (64 64
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (64 64
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (64 64
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (64 64
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (64 64
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (63 21
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (61 61
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (61 61
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (61 61
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (61 61
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (61 61
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (47 47
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (46 46
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (46 46
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (46 26
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (44 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (44 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (42 7
     (:REWRITE MILAWA::BUILD.DISJOINED-REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (41 41
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (41 41
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (41 41
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (39 39
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (39 39
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (39 1
     (:REWRITE MILAWA::CDR-OF-BUILD.DISJOINED-REPLACE-SUBTERM-LIST))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (36 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (36 1
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (36 1
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (32 10
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (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))
 (30 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (30 3
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.VRHS-IN-LOGIC.VRHSES-WHEN-MEMBERP))
 (24
  12
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (23 23 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (23 23
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (23 23
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 23
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (21 21 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (21 21
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (20 4
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (18
   18
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (18
  18
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (18 18
     (:REWRITE MILAWA::EQUAL-OF-LEN-AND-ZERO))
 (16
  4
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (14
    14
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (12 4 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (12 4
     (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (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-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (11
  11
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (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-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (4 4
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (4 4
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (1
  1
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (1 1
    (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-BLDR-UNDER-IFF
  (46 1
      (:REWRITE MILAWA::BUILD.DISJOINED-REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
  (31 1
      (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
  (12 2
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
  (7 2
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
  (6 2
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
  (2 2
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
  (2 2
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
  (2 2
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
  (2 2
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
  (2 2
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
  (2 2
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
  (1 1
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
  (1 1
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
  (1 1
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
  (1 1
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
  (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
  (1 1
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
  (1 1
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
  (1 1
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
  (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-TACTIC.CONDITIONAL-EQSUBST-BLDR
 (590 13
      (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (410 14
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (378 12
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (313 4
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (228 17
      (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (223 223
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (179 59
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (176 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (142 29
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (141 33
      (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (120 120 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (120 120
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (120 28
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (116 2
      (:REWRITE MILAWA::CDR-OF-LOGIC.REPLACE-SUBTERM-LIST))
 (93 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (89 55
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (81 1 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (79 1
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (70 44
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (61 27
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (60 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (60 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (55 55
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (55 29
     (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (53 53
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (50 27
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (49 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (46 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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-<))
 (42 29
     (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (42 23 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (37 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (37 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (34 34 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (32
   32
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (31 31
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (29 29
     (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (29
  29
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (29
  29
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (29
  29
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 29
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (28 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.PEQUAL-LIST))
 (27 27
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (27 23
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (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 23
     (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (25 23
     (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (23 23
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (23 23
     (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (23 23
     (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (19
    19
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (15 15
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (14 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (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))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (10 6
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (9 3
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6
  6
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (6
   6
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (6
   6
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (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::LIST-FIX-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-LEN-AND-ZERO))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (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-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (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.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::BUILD.DISJOINED-REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-TACTIC.CONDITIONAL-EQSUBST-BLDR
 (582 5
      (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (410 14
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (378 12
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (313 4
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (220 9
      (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (176 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (131 11
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (120 28
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (118 5
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (117 9
      (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (116 2
      (:REWRITE MILAWA::CDR-OF-LOGIC.REPLACE-SUBTERM-LIST))
 (93 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (81 1 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (79 1
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (61 27
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (60 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (60 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (55 21
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (52 52
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (51 25
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (50 27
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (49 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (46 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (39 39
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (37 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (31 31
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (31 5
     (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (28 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.PEQUAL-LIST))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (25 25 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (25 25
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (25 25
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (25 25 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (25 25
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (23 4 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (21 21
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (21 21 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (21 21
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (21 7
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 5
     (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (18 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (15 15 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (14 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (12 12
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (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))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (10 6
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (9 3
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (8
   8
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (8 4
    (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (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.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.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 4 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (6 4
    (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5 5
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (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.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (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-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-LEN-AND-ZERO))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (4 4
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (3 3 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (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::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (3
  3
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (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.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (1
   1
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::BUILD.DISJOINED-REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-TACTIC.CONDITIONAL-EQSUBST-BLDR
 (1190 17
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (946 28
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (880 26
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (645 8
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (484 94
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (466 25
      (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (465 89
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (453 12
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (414 9
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (362 20
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (253 37
      (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (232 4
      (:REWRITE MILAWA::CDR-OF-LOGIC.REPLACE-SUBTERM-LIST))
 (223 223
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP-OF-CDR-CHEAP))
 (206 70
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (179 59
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (176 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (169 70
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (156 12
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (156 12
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (144 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (144 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (142 29
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (127 69
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (120 120 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (120 120
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (116 116
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (98 72
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (96 96
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (96 96
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (94 94
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (94 94
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (93 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (81 1 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (79 1
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (72 72 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (72 72
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (72 72
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (72 72 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (72 12
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (69 69
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (62 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (55 55
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (55 29
     (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (54 54
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (52 52
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (52 52
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (52 52 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (49 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (47 47
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (47 47
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (46 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (42 29
     (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (42 23 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (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))
 (37 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (32
   32
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (30 30
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (29
  29
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (29
  29
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (29
  29
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 29
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (28
    28
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (28 28
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (28 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.PEQUAL-LIST))
 (27 23
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (26 26
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (25 23
     (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (25 23
     (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (24 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (23 23
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (23 23
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (23 23
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (23 23
     (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (23 23
     (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (21 7
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (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))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (20 20
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (15 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (14 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12
  12
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (12
   12
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (12
  12
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (12
  12
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (12 12
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (12 12
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (12 12
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (12 12
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (12
  12
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (12 12
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (12
  12
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (12
  12
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (12 3
     (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 6
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (9 9
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (9 9
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (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.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (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.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (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.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (6
   6
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (6
   6
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (5 5
    (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (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::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-LEN-AND-ZERO))
 (4
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (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-NOT-CONSP))
 (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-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.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (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-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::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (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.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP))
 (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-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::BUILD.DISJOINED-REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-COMPILE)
(MILAWA::CROCK
    (578 5
         (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
    (279 47
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
    (276 6
         (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
    (200 5
         (:REWRITE MILAWA::LOGIC.DISJOIN-EACH-FORMULA-LIST-WHEN-NOT-CONSP))
    (196 4
         (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
    (189 5
         (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
    (184 4
         (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
    (161 42
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
    (155 5
         (:REWRITE MILAWA::CONSP-OF-LOGIC.TERM-LIST-LIST-FORMULAS))
    (148 8
         (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
    (144 5
         (:REWRITE MILAWA::CONSP-OF-LOGIC.TERM-LIST-FORMULAS))
    (143 47
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
    (124 4
         (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
    (58 58
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
    (58 58
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
    (58 58
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
    (58 58
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
    (58 58
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
    (58 58
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
    (58 58
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
    (58 58
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
    (54 9
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
    (54 9
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
    (48 48
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
    (48 48
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
    (48 48
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
    (48 48
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
    (47 47
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
    (47 47
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
    (47 47
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
    (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 42
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
    (42 42
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
    (36 9
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
    (23 23
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
    (23 23
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
    (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))
    (23 23
        (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
    (23 23
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
    (23 23
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
    (23 23
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
    (23 23 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
    (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))
    (12 12
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
    (12 12
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
    (12 12
        (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
    (9 9
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
    (9 9
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
    (9 9
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
    (9 9
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
    (9 9
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
    (9 9
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
    (9 9
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
    (9 9
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
    (8 8
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
    (4 4
       (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
    (4 4
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
    (4 4
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
    (4 4
       (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
    (4 4
       (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
    (4 4
       (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
    (4 4
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
    (4 4
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP)))
(MILAWA::CROCK2
    (1112 8
          (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
    (462 80
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
    (432 9
         (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
    (428 4
         (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
    (404 8
         (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
    (312 8
         (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
    (300 8
         (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
    (282 72
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
    (268 8
         (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
    (239 80
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
    (228 8
         (:REWRITE MILAWA::CONSP-OF-LOGIC.TERM-LIST-FORMULAS))
    (200 5
         (:REWRITE MILAWA::LOGIC.DISJOIN-EACH-FORMULA-LIST-WHEN-NOT-CONSP))
    (196 4
         (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
    (155 5
         (:REWRITE MILAWA::CONSP-OF-LOGIC.TERM-LIST-LIST-FORMULAS))
    (144 4
         (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
    (96 96
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
    (96 96
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
    (96 96
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
    (96 96
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
    (96 96
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
    (96 96
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
    (96 96
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
    (96 96
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
    (87 87
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
    (87 87
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
    (84 14
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
    (84 14
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
    (83 83
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
    (83 83
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
    (83 83
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
    (83 83
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
    (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.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))
    (74 74
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
    (74 74
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
    (74 74
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
    (72 72
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
    (72 72
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
    (56 14
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
    (37 37
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
    (37 37
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
    (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))
    (37 37
        (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
    (37 37
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
    (37 37
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
    (37 37
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
    (37 37 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
    (28 28 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
    (28 28
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
    (28 28
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
    (28 28 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
    (28 28
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
    (22 22
        (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
    (22 22
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
    (22 22
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
    (22 22
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
    (22 22
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
    (21 7
        (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
    (16 16
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
    (16 16
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
    (16 16
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
    (16 16
        (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
    (14 14
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
    (14 14
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
    (14 14
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
    (14 14
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
    (14 14
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
    (14 14
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
    (14 14
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
    (14 14
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
    (11 11
        (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
    (10 10 (:REWRITE MILAWA::CROCK))
    (8 8
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
    (8 8
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
    (8 8
       (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
    (8 8
       (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
    (8 8
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
    (8 8
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
    (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
    (4 4
       (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
    (4 4
       (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP)))
(MILAWA::CROCK3
 (1754 13
       (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (693 121
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (668 4
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (647 13
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (632 12
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (485 13
      (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (484 8
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (435 108
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (428 8
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (420 12
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (368 13
      (:REWRITE MILAWA::CONSP-OF-LOGIC.TERM-LIST-FORMULAS))
 (361 121
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (308 8
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (200 5
      (:REWRITE MILAWA::LOGIC.DISJOIN-EACH-FORMULA-LIST-WHEN-NOT-CONSP))
 (155 5
      (:REWRITE MILAWA::CONSP-OF-LOGIC.TERM-LIST-LIST-FORMULAS))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (137 137
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (137 137
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (132 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (132 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (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))
 (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.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))
 (110 110
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (110 110
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (110 110
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (88 22
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (55 55
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (55 55
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (55 55
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (55 55
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (55 55
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (55 55
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (55 55
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (55 55
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (55 55 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (48 48
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (48 48
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (48 48
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (48 48
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (48 48
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (48 16
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (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 39
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (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))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (16 16 (:REWRITE MILAWA::CROCK))
 (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))
 (12 12
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (12 12
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (11 11 (:REWRITE MILAWA::CROCK2))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP)))
(MILAWA::LEN-1-WHEN-NOT-CDR
     (31 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (28 3
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
     (15 3
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (9 3
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (8 3
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (8 3
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (7 3
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (3 3
        (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
     (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
     (3 3
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
     (3 3
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (3 3
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
     (3 3
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
     (3 3
        (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
     (3 3
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
     (3 3
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
     (3 3
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
     (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
     (2 2
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (2 2
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (2 2
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
     (2 2
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
     (2 2
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (2 2
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (2 2
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
     (2 2
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
     (2 2
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
     (1 1
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
     (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (1 1
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (1 1
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (1 1
        (:REWRITE MILAWA::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
     (1 1
        (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE)))
(MILAWA::TACTIC.CONDITIONAL-EQSUBST-COMPILE
 (183457 1021
         (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (161871 40655
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (85649 1058
        (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (85130 3853
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (82719 4051
        (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (82485 1021
        (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (74742 3850
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (72639 955
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (70420 955
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (69454 636
        (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (66592 954
        (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (64690 1904
        (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (62687 2674
        (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (60915 4796
        (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (59963 3844
        (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (58024 1905
        (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (53490 7476
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (49840 1021
        (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (43985 668
        (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (43523 1223
        (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (42778 1970
        (:REWRITE MILAWA::DEFINITION-LISTP-OF-CDR-WHEN-DEFINITION-LISTP))
 (41657 41657
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (41657 41657
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (41403 41403
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (41403 41403
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (41403 41403
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (41403 41403
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (41403 41403
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (41403 41403
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (41403 41403
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (41403 41403
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (40716 40716
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (40716 40716
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (40716 40716
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (40716 40716
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (40655 40655
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (40655 40655
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (40655 40655
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (40655 40655
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (40655 40655
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (40655 40655
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (40655 40655
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (40653 40653
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (40653 40653
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (40462 40462
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (40462 40462
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (36184 23401
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (34032
    318
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-OF-CDR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (33990 953
        (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (33592
    1938
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (33355 316
        (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (31676 31676
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (31676 31676
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (31491 955
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (25275 3830
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (24458 3830
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (22462
      635
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (20311
      1302
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (15228 2272
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (14536 316
        (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (14519 14519
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (14519 14519
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (14519 14519
        (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (14040 2713
        (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (13413 372
        (:REWRITE MILAWA::LOGIC.DISJOIN-EACH-FORMULA-LIST-WHEN-NOT-CONSP))
 (13373 13373
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (13373 13373
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (13360 13360
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (12182 1021
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (12108 372
        (:REWRITE MILAWA::LOGIC.TERM-LIST-LIST-FORMULAS-WHEN-NOT-CONSP))
 (11412
      317
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (11096 11096
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (11060 316
        (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (8742 1939
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (8742 1939
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (7641 7641
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (7641 7641
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (7622 7622 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (7622 7622
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (7622 7622
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (7027 7027
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7027 7027
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7027 7027
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6819 6819
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5111
    2255
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (4796
  4796
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (4796
     4796
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (4051
    4051
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (4051 4051
       (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (3867 3867
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (3867 3867
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (3867 3867
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (3853 3853
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (3853 3853
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (3850 3850
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (3844
  3844
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3844
     3844
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3772 3772
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (3231 3231
       (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3203 3203
       (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3006 1002
       (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2704 676
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2688 2688
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2674
  2674
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2674
  2674
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2674
  2674
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2674
   2674
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2674
  2674
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2674 2674
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (2576 2576
       (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2576
    2576
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2426
      104
      (:REWRITE
           MILAWA::LOGIC.FORMULA-LISTP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LISTP))
 (2182 70
       (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LISTP-WHEN-NOT-CONSP))
 (2050 2050
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (2050 2050
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (2050
    2050
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (2050
   2050
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (2050 2050
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1976 1976
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1976 1976
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1974
      1974
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1974
      1974
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1955 1955
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1955 1955
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1955 1955
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1955 1955
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1955 1955
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1939
    1939
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1939 1939
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1906
      1906
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1906
     1906
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1768 1768
       (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1768 1768
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1768 1768
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1768 1768
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1761 46
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1357 679
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1240 1240
       (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (1240 1240
       (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (1223 1223
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (1223 1223
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (1080 45
       (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (1058 1058
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (1031 1031
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (1031 1031
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (1026 1026
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1026 1026
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1025
  1025
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (1025
     1025
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1024
     1024
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (1024 1024
       (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (1023
   1023
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1023 1023
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1021 1021
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1021 1021
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1003 1003
       (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (986
   986
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (955 955
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (955
     955
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (954
  954
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (954
     954
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (951 951
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (951 951
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (939 939
      (:REWRITE MILAWA::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (939 939
      (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE))
 (697 697
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (679 679
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (679 679
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (679
     679
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (679
  679
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (679 679
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (678 678
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (676 676
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (676
     676
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (676 676
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (665 19 (:REWRITE MILAWA::|(< 1 (len x))|))
 (626 626
      (:REWRITE MILAWA::CDR-OF-CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (626 626
      (:REWRITE MILAWA::CDR-OF-CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE))
 (614 614
      (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (439 149
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (345 3
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (340 340 (:REWRITE MILAWA::CROCK))
 (324 3
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (316 316 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (316 316
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (316 316
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (316
  316
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (316
    316
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (316
     316
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (315 315
      (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (315
  315
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (199 199
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (154
    154
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (149
    149
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (149 149
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (149 149
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (149
     149
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (149 149
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (149 149
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (146 146
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (127 43
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (110
   110
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (92 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (92 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (78 78
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (78 78
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (78 78
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (78 78
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (77 77
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (70
  70
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LISTP-ALT))
 (70
  70
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LISTP))
 (70 70
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (70 70
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (57 19 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (54 54
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (46 46 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (38 38 (:REWRITE MILAWA::CROCK2))
 (36 1
     (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (19 19
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (19 19
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (19 19
     (:REWRITE MILAWA::LEN-1-WHEN-NOT-CDR))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-LIST-LISTP-OF-RW.CCSTEP-LIST-LIST-OBLIGATIONS-FREE))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (6 6 (:REWRITE MILAWA::CROCK3))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (2 2
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP)))
(MILAWA::FORCING-LOGIC.APPEAL-LISTP-OF-TACTIC.CONDITIONAL-EQSUBST-COMPILE
 (110659 627
         (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (95865 24189
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (51503 638
        (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (49591 627
        (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (49539 2527
        (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (48303 2219
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (47605 624
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (46149 624
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (42405 1248
        (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (42309 2222
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (40111 366
        (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (39910 3121
        (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (39286 2497
        (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (38635 1669
        (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (38464 549
        (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (38037 1248
        (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (30467 4307
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (29977 627
        (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (26702 417
        (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (25868 1250
        (:REWRITE MILAWA::DEFINITION-LISTP-OF-CDR-WHEN-DEFINITION-LISTP))
 (24777 24777
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (24777 24777
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (24702 708
        (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (24675 24675
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (24675 24675
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (24675 24675
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (24675 24675
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (24675 24675
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (24675 24675
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (24675 24675
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (24675 24675
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (24233 24233
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (24233 24233
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (24233 24233
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (24233 24233
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (24189 24189
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (24189 24189
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (24189 24189
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (24189 24189
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (24189 24189
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (24189 24189
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (24189 24189
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (24189 24189
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (24189 24189
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (24054 24054
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (24054 24054
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (22256 624
        (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (22022
    1249
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (21142 13638
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (20592 624
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (19660
    183
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-OF-CDR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (19267 182
        (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (18583 18583
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (18583 18583
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (14741
      416
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (14452 2194
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (13910 2194
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (13114
      833
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (9887 1359
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9568 208
       (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (9112 153
       (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (8571 1692
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (8380 8380
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (8380 8380
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (8380 8380
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (7923 222
       (:REWRITE MILAWA::LOGIC.DISJOIN-EACH-FORMULA-LIST-WHEN-NOT-CONSP))
 (7846 7812
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7814 7814
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7814 7814
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7521 627
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (7488 208
       (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (7280 208
       (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (7170 222
       (:REWRITE MILAWA::LOGIC.TERM-LIST-LIST-FORMULAS-WHEN-NOT-CONSP))
 (6521 6521
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5621 1249
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5621 1249
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (4479 4479
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4479 4479
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4479 4479
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4382 4382
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4382 4382
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4376 4376 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4376 4376
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4376 4376
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (4293 4293
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3329
    1457
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (3121
  3121
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3121
     3121
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2527
    2527
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2527 2527
       (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (2497
  2497
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2497
     2497
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2224 2224
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2224 2224
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2224 2224
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2222 2222
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2219 2219
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2219 2219
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2168 2168
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (2044 2044
       (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1854 1854
       (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1764 588
       (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1669
  1669
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1669
  1669
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1669
  1669
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1669
   1669
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1669
  1669
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1669 1669
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1565 1565
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1526 1526
       (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1526
    1526
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1512 378
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1276 1276
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1276 1276
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1276
    1276
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1276
   1276
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (1276 1276
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1251 1251
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1251 1251
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1251
      1251
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1251
      1251
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1249
    1249
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1249 1249
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1248
      1248
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1248
     1248
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1148 1148
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1148 1148
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1148 1148
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1148 1148
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1148 1148
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1063 1063
       (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1063 1063
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1063 1063
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1063 1063
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (960 42
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (760 380
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (712 712
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (712 712
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (708 708
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (708 708
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (641 17
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (638 638
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (627 627
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (627 627
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (627 627
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (627 627
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (627 627
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (627 627
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (627
     627
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (627 627
      (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (627
   627
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (627 627
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (627
  627
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (627
     627
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (625
   625
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (624 624
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (624 624
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (624 624
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (624
     624
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (590 590
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (549
  549
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (549
     549
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (543 543
      (:REWRITE MILAWA::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (543 543
      (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE))
 (427 427
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (380 380
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (380 380
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (380
     380
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (380
  380
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (380 380
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (380 380
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (378 378
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (378
     378
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (378 378
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (377 377
      (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (362 362
      (:REWRITE MILAWA::CDR-OF-CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (362 362
      (:REWRITE MILAWA::CDR-OF-CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE))
 (262 50
      (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (210 6 (:REWRITE MILAWA::|(< 1 (len x))|))
 (208 208 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (208 208
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (208 208
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (183 61
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (182
  182
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (182
    182
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (182
     182
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (182 182
      (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (182
  182
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (146 146 (:REWRITE MILAWA::CROCK))
 (112 1
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (108 1
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (103 4
      (:REWRITE
           MILAWA::LOGIC.FORMULA-LISTP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LISTP))
 (93 3
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LISTP-WHEN-NOT-CONSP))
 (84 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (76 76
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (76 2 (:REWRITE MILAWA::MEMBERP-OF-CAR))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (69
    69
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (61
    61
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (61 61
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (61 61
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (61 61
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (61 61
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (61 61
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (59 59
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (50 50
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (42 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (37 37 (:REWRITE MILAWA::CROCK2))
 (27
   27
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (23 23
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 8
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (18 6 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (17 17 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (8 8
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (7 7 (:REWRITE MILAWA::LEN-1-WHEN-NOT-CDR))
 (6 6
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (6 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-LIST-LISTP-OF-RW.CCSTEP-LIST-LIST-OBLIGATIONS-FREE))
 (6 6 (:REWRITE MILAWA::CROCK3))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (3 3
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LISTP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE)))
(MILAWA::FORCING-LOGIC.STRIP-CONCLUSIONS-OF-TACTIC.CONDITIONAL-EQSUBST-COMPILE
 (115949 657
         (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (100878 25444
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (53965 668
        (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (51961 657
        (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (51789 2647
        (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (50427 2330
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (49895 654
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (48369 654
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (44445 1308
        (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (44125 2330
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (42091 384
        (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (41830 3271
        (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (41176 2617
        (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (40485 1749
        (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (40363 576
        (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (39867 1308
        (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (32065 4527
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (31407 657
        (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (27982 437
        (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (27108 1310
        (:REWRITE MILAWA::DEFINITION-LISTP-OF-CDR-WHEN-DEFINITION-LISTP))
 (26079 26079
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (26079 26079
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (25992 750
        (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (25981 25981
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (25981 25981
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (25981 25981
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (25981 25981
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (25981 25981
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (25981 25981
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (25981 25981
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (25981 25981
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (25495 25495
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (25495 25495
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (25495 25495
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (25495 25495
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (25444 25444
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (25444 25444
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (25444 25444
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (25444 25444
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (25444 25444
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (25444 25444
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (25444 25444
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (25444 25444
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (25444 25444
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (25302 25302
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (25302 25302
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (23326 654
        (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (23082
    1309
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (22365 14360
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (21582 654
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (20632
    192
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-OF-CDR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (20266 191
        (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (19553 19553
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (19553 19553
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (15451
      436
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (15228 2316
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (14684 2316
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (13744
      873
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (10377 1439
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10028 218
        (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (10006 168
        (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (8861 1772
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (8812 245
       (:REWRITE MILAWA::LOGIC.DISJOIN-EACH-FORMULA-LIST-WHEN-NOT-CONSP))
 (8804 8804
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (8804 8804
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (8804 8804
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8234 8234
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (8234 8234
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (8232 8232
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (8109 245
       (:REWRITE MILAWA::LOGIC.TERM-LIST-LIST-FORMULAS-WHEN-NOT-CONSP))
 (7881 657
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (7848 218
       (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (7630 218
       (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (6877 6877
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5891 1309
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5891 1309
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (4709 4709
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4709 4709
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4709 4709
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4624 4624
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4624 4624
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4618 4618 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4618 4618
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4618 4618
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (4541 4541
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3489
    1527
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (3271
  3271
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3271
     3271
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2647
    2647
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2647 2647
       (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (2617
  2617
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2617
     2617
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2335 2335
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2335 2335
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2335 2335
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2330 2330
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2330 2330
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2330 2330
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2272 2272
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (2156 2156
       (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1950 1950
       (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1905 635
       (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1749
  1749
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1749
  1749
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1749
  1749
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1749
   1749
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1749
  1749
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1749 1749
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1645 1645
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1614 1614
       (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1614
    1614
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1584 396
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1336 1336
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1336 1336
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1336
    1336
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1336
   1336
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (1336 1336
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1311 1311
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1311 1311
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1311
      1311
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1311
      1311
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1309
    1309
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1309 1309
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1308
      1308
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1308
     1308
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1220 1220
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1220 1220
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1220 1220
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1220 1220
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1220 1220
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1151 1151
       (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1151 1151
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1151 1151
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1151 1151
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (976 46
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (796 398
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (750 750
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (750 750
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (743 743
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (743 743
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (668 668
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (657 657
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (657 657
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (657 657
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (657 657
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (657 657
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (657 657
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (657
     657
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (657 657
      (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (657
   657
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (657 657
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (657
  657
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (657
     657
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (655
   655
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (654 654
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (654 654
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (654 654
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (654
     654
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (641 17
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (635 635
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (576
  576
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (576
     576
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (570 570
      (:REWRITE MILAWA::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (570 570
      (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE))
 (459 459
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (398 398
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (398 398
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (398
     398
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (398
  398
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (398 398
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (398 398
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (396 396
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (396
     396
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (396 396
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (395 395
      (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (380 380
      (:REWRITE MILAWA::CDR-OF-CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (380 380
      (:REWRITE MILAWA::CDR-OF-CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE))
 (286 56
      (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (218 218 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (218 218
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (218 218
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (210 6 (:REWRITE MILAWA::|(< 1 (len x))|))
 (196 196
      (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (196
  196
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (188
  188
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (188
    188
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (188
     188
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (183 61
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (146 146 (:REWRITE MILAWA::CROCK))
 (112 1
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (108 1
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (103 4
      (:REWRITE
           MILAWA::LOGIC.FORMULA-LISTP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LISTP))
 (93 3
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LISTP-WHEN-NOT-CONSP))
 (81 81
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (81 81
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (81 81
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (81 81
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (76 76
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (76 2 (:REWRITE MILAWA::MEMBERP-OF-CAR))
 (69
    69
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (61
    61
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (61 61
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (61 61
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (61 61
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (61 61
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (61 61
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (59 59
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (56 56
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (42 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (37 37 (:REWRITE MILAWA::CROCK2))
 (27
   27
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (23 23
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (18 6 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (17 17 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7 (:REWRITE MILAWA::LEN-1-WHEN-NOT-CDR))
 (6 6
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (6 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-LIST-LISTP-OF-RW.CCSTEP-LIST-LIST-OBLIGATIONS-FREE))
 (6 6 (:REWRITE MILAWA::CROCK3))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LISTP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP)))
(MILAWA::FORCING-LOGIC.PROOF-LISTP-OF-TACTIC.CONDITIONAL-EQSUBST-COMPILE
 (135012 31750
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (111188 630
         (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (81398 5852
        (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (78963 1797
        (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (73718 4682
        (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (62611 16241
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (53187
      543
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-OF-CAR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (51752 642
        (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (50680 1448
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (49828 630
        (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (49764 2539
        (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (48538 2241
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (47932 543
        (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (47834 627
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (46371 627
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (44988 1170
        (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (42510 2240
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (41287
    2341
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (40331 368
        (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (40155 543
        (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (38820 1677
        (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (38675 552
        (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (38220 1254
        (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (33096 1086
        (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-NOT-CONSP))
 (32341 32341
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (32341 32341
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (32237 32237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (32237 32237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (32237 32237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (32237 32237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (32237 32237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (32237 32237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (32237 32237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (32237 32237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (31794 31794
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (31794 31794
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (31794 31794
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (31794 31794
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (31750 31750
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (31750 31750
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (31750 31750
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (31750 31750
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (31750 31750
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (31750 31750
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (31750 31750
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (31750 31750
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (31750 31750
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (31606 31606
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (31606 31606
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (30572 4331
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (30120 630
        (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (29802
      780
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (26830 419
        (:REWRITE MILAWA::LOGIC.FORMULAP-OF-SECOND-WHEN-LOGIC.FORMULA-LISTP))
 (26761
  543
  (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-LOGIC.TERM-LIST-ATBLP))
 (25992 1256
        (:REWRITE MILAWA::DEFINITION-LISTP-OF-CDR-WHEN-DEFINITION-LISTP))
 (24777 711
        (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (23942 23942
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (23942 23942
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (22945 14442
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (20691 627
        (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (19768
    184
    (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-OF-CDR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (19307 183
        (:REWRITE MILAWA::LOGIC.REPLACE-SUBTERM-LIST-WHEN-NOT-CONSP))
 (18824 1448
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (18824 1448
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (16245 16245
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (16245 16245
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (15126
      390
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-THIRD-WHEN-LOGIC.CONSTANT-LISTP))
 (14523 2205
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (13981 2205
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (13177
      837
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-CDR-WHEN-LOGIC.FORMULA-LISTP))
 (10128 1559
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9614 209
       (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (9112 153
       (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (8974 8974
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (8974 8974
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (8974 8974
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8688 1448
       (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (8600 1700
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (8552 8552
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7963 223
       (:REWRITE MILAWA::LOGIC.DISJOIN-EACH-FORMULA-LIST-WHEN-NOT-CONSP))
 (7557 630
       (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (7315 209
       (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (7207 223
       (:REWRITE MILAWA::LOGIC.TERM-LIST-LIST-FORMULAS-WHEN-NOT-CONSP))
 (6323 6323
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6323 6323
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6323 6323
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6241
    2731
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (5852
  5852
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (5852
     5852
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (5765 5765
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5648 1255
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (5648 1255
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (4951 1087
       (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.VARIABLE-LISTP))
 (4951 1087
       (:REWRITE MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.CONSTANT-LISTP))
 (4682
  4682
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (4682
     4682
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (4404 4404
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4404 4404
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4398 4398 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4398 4398
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4398 4398
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2781 2781
       (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2539
    2539
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2539 2539
       (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (2246 2246
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2246 2246
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2246 2246
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (2241 2241
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2241 2241
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2240 2240
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2190 2190
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (2116 46
       (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (1864 1864
       (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1800 1800
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1800 1800
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1800
      1800
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1800
      1800
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1797
      1797
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1797
     1797
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1773 591
       (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1717 1717
       (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1717
    1717
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1677
  1677
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1677
  1677
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1677
  1677
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1677
   1677
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1677
  1677
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1677 1677
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1580 1580
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1520 380
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1448
  1448
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1448
      1448
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1448 1448
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1448 1448
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1448 1448
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1448 1448
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1448 1448
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1448
   1448
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1448
  1448
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1448 1448
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1448 1448
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1448 1448
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1448 1448
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1448 1448
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1448
      1448
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1448 1448
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1448 1448
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1448 1448
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1448 1448
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1448
  1448
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1448
      1448
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1448 1448
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1448 1448
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1448 1448
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1448 1448
       (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1448 1448
       (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1448 1448
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1448 1448
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1448 1448
       (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1448 1448
       (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1448
  1448
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1448 1448
       (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1448
  1448
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1448
  1448
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1448
  1448
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1346 1346
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1346 1346
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1346 1346
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1346 1346
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1346 1346
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1283 1283
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (1283 1283
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (1283
    1283
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (1283
   1283
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (1283 1283
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1255
    1255
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1255 1255
       (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1173
  1173
  (:REWRITE
     MILAWA::FORCING-LOGIC.CONSTANTP-OF-REWRITE.SYNTAXP-BASE-EVALUATOR-FREE))
 (1173
     1173
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1170
      1170
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1170
     1170
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1087
  1087
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (1087
  1087
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (1087
      1087
      (:REWRITE
           MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (1087
  1087
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (1087
  1087
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (1087 1087
       (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (1086
  1086
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (1086
   1086
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (1072 1072
       (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1072 1072
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1072 1072
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1072 1072
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (960 42
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (766 384
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (716 716
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (716 716
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (711 711
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (711 711
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (652 19
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (642 642
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (630 630
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (630 630
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (630 630
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (630 630
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (630 630
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.FAST-CACHEMAPP))
 (630 630
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOOKUP-IN-RW.CACHEMAPP))
 (630
     630
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (630 630
      (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (630
   630
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (630 630
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (628
   628
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (627 627
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (627 627
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (593 593
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (552
  552
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (552
     552
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (546 546
      (:REWRITE MILAWA::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (546 546
      (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE))
 (543
  543
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (543
    543
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (543
   543
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (543 543
      (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (543
  543
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (543
  543
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (431 431
      (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (384 384
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (384 384
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (384
     384
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (384
  384
  (:REWRITE
       MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-REWRITE.SYNTAXP-BASE-EVALUABLEP))
 (384 384
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (382 382
      (:REWRITE MILAWA::CLAUSE.NEGATIVE-TERMP-WHEN-CLAUSE.SIMPLE-NEGATIVEP))
 (380 380
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (380
     380
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (380 380
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (376 376
      (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (364 364
      (:REWRITE MILAWA::CDR-OF-CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (364 364
      (:REWRITE MILAWA::CDR-OF-CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE))
 (308 53
      (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (239 49
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (210 6 (:REWRITE MILAWA::|(< 1 (len x))|))
 (209 209 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (209 209
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (209 209
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (188 66
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (183
  183
  (:REWRITE
       MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP-ALT))
 (183 183
      (:REWRITE
           MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP))
 (183
  183
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (183 183
      (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (183 183
      (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (183 183
      (:REWRITE MILAWA::CDR-OF-CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (183
  183
  (:REWRITE
       MILAWA::CDR-OF-CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (181
  181
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (181
    181
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (181
     181
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (159 159 (:REWRITE MILAWA::CROCK))
 (142 4 (:REWRITE MILAWA::MEMBERP-OF-CAR))
 (121 1
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (108 1
      (:REWRITE MILAWA::LIST-OF-FIRST-AND-SECOND-WHEN-LEN-2))
 (103 4
      (:REWRITE
           MILAWA::LOGIC.FORMULA-LISTP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LISTP))
 (93 3
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LISTP-WHEN-NOT-CONSP))
 (84 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (82 82
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (75
    75
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (66
    66
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (66 66
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (66 66
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (64 64
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (53 53
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (49 49
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (44 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (44 11
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (37 37 (:REWRITE MILAWA::CROCK2))
 (28
   28
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (28 1 (:REWRITE MILAWA::MEMBERP-OF-SECOND))
 (25 25
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (19 19 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (18 6 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (8 8 (:REWRITE MILAWA::LEN-1-WHEN-NOT-CDR))
 (6 6
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (6 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LIST-LISTP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-LIST-LISTP-OF-RW.CCSTEP-LIST-LIST-OBLIGATIONS-FREE))
 (6 6 (:REWRITE MILAWA::CROCK3))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LISTP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP)))
