(MILAWA::RW.SECONDARY-EQTRACE-NHYP-BLDR)
(MILAWA::RW.SECONDARY-EQTRACE-NHYP-BLDR-UNDER-IFF
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (4 1
    (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (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::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (1 1
    (:REWRITE
         MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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::EQUAL-OF-BOOLEANS-REWRITE))
 (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::FORCING-LOGIC.APPEALP-OF-RW.SECONDARY-EQTRACE-NHYP-BLDR
 (356 20
      (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (294 6
      (:REWRITE MILAWA::RW.SECONDARY-EQTRACE-NORMALIZE-OKP-2))
 (204 6
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (100 14
      (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (37 7
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (36 6
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (32 7
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (31 7
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (30 6
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (24 6
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (14 14
     (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (14
  14
  (:REWRITE
       MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (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.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (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::RW.SECONDARY-EQTRACE-NORMALIZE-OKP-1))
 (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::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (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::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (4 4
    (:REWRITE MILAWA::RW.EQTRACE-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (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::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2 2
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2 2
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (2 2
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2 2
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2 2
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1 1
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.SECONDARY-EQTRACE-NHYP-BLDR
 (650 35
      (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (374 11
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (298 10
      (:REWRITE MILAWA::RW.SECONDARY-EQTRACE-NORMALIZE-OKP-2))
 (162 23
      (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (68 13
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (66 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (59 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (57 13
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (55 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (44 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (35 35
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (35
  35
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (25
  25
  (:REWRITE
       MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO-ALT))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO))
 (23 23
     (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (18 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (18 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (18 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (16 4
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (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))
 (13 13
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::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))
 (11 11
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (11 11
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::RW.SECONDARY-EQTRACE-NORMALIZE-OKP-1))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (6 6
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (6 6
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (6 6 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (6 6
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (5
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::RW.EQTRACE-UNDER-IFF))
 (4
  4
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (4 4
    (:REWRITE
         MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (4 4
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (4 4
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (4 4
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (4 4
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (4 4
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (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::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.SECONDARY-EQTRACE-NHYP-BLDR
 (356 20
      (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (321 45
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (312 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (294 6
      (:REWRITE MILAWA::RW.SECONDARY-EQTRACE-NORMALIZE-OKP-2))
 (276 12
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (222 6
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (208 6
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (204 6
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (156 12
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (156 12
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (153 45
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (105 6
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (100 14
      (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (72 12
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (63 18
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (54 18
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (45 45
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (45 45
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (45 45
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (45 45
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (42 42
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (36 6
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (30 6
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (30 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (30 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (24 6
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (20
  20
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (18 3
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (16 16
     (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (14
  14
  (:REWRITE
       MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO-ALT))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (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::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))
 (10 10 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (10 10 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9 9 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (6 6
    (:REWRITE MILAWA::RW.SECONDARY-EQTRACE-NORMALIZE-OKP-1))
 (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::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (6 6
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (6 6
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (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::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (5
  5
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (4 4
    (:REWRITE MILAWA::RW.EQTRACE-UNDER-IFF))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (3 3
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (3 3
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (2
  2
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (1 1
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP)))
(MILAWA::RW.SECONDARY-EQTRACE-NHYP-BLDR
 (960 60
      (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (716 14
      (:REWRITE MILAWA::RW.SECONDARY-EQTRACE-NORMALIZE-OKP-2))
 (544 16
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (363 48
      (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (220 13
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (185 13
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (176 8
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (112 32
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (112 32
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (96 32
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (96 16
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (80 16
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (72 8
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (71
  60
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (64 16
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (60 60
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (60 60
     (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (52 52
     (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (40
  40
  (:REWRITE
       MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO-ALT))
 (40 40
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO))
 (40 8
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (32 32
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (32 32
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (32 8
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (32 8
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (20
    20
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-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::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (18 18
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (16 16 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (14 14
     (:REWRITE MILAWA::RW.SECONDARY-EQTRACE-NORMALIZE-OKP-1))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (13 13
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (13 13
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (13 13
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (13 13
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (13 13
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (13 13
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (10 10
     (:REWRITE MILAWA::RW.EQTRACE-UNDER-IFF))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (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.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (4
  4
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (4 4
    (:REWRITE
         MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (3 3
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE)))
(MILAWA::RW.SECONDARY-EQTRACE-BLDR)
(MILAWA::RW.SECONDARY-EQTRACE-BLDR-UNDER-IFF
     (228 2
          (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
     (184 6
          (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
     (132 2
          (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
     (94 4
         (:REWRITE MILAWA::CONSP-OF-LOGIC.TERM-LIST-FORMULAS))
     (44 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (42 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (28 12
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (20 6
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (14 14
         (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (12 12
         (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
     (10 10
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (10 10
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (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::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::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (4 2
        (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (3 3
        (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-RW.HYPBOX->RIGHT))
     (3 3
        (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-RW.HYPBOX->LEFT))
     (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::TRUE-LISTP-OF-CDR))
     (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (2 2
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (2 2
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
     (2 2
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
     (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (2 2
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.SECONDARY-EQTRACE-BLDR
 (1086 38
       (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (1026 22
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (528 8
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (414 9
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (396 9
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (294 90
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (176 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (98 98
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (98 42
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (72 72
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (72 72
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (38
  38
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (38 38
     (:REWRITE
          MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (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))
 (38
  38
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (30 5
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (22
    22
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-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))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (16 8
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (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::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::TRUE-LISTP-OF-CDR))
 (8 8 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (8 8 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP))
 (7 7
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (7
  7
  (:REWRITE
      MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS-ALT))
 (7 7
    (:REWRITE
         MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (5
  5
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (5 5
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (5
  5
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (5
  5
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.SECONDARY-EQTRACE-BLDR
 (2642 43
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (2024 73
       (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (1518 23
       (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (606 15
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (574 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (519 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (506 23
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (256 95
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (185 185
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (137 137
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (137 137
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (65 65
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (65 65
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (65 65
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (46 46
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (46 46
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (46 23
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (44
  44
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (44 44
     (:REWRITE
          MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (44
  44
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (42 7
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (36 36
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-RW.HYPBOX->LEFT))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30 30 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (30 30 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (30 30
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-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::TRUE-LISTP-OF-CDR))
 (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))
 (23 23
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (15
  15
  (:REWRITE
      MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS-ALT))
 (15 15
     (:REWRITE
          MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (13 13
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP))
 (13 13
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (11
    11
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.POR-REWRITE-TWO))
 (8 2
    (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.POR-REWRITE))
 (7
  7
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (7 7
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (7
  7
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (7
  7
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.SECONDARY-EQTRACE-BLDR
 (1086 38
       (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (1026 22
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (904 43
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (806 16
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (775 131
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (774 16
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (644 28
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (581 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (528 8
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (364 28
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (364 28
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (245 14
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (198 33
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (186 186
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (171 171
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (171 171
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (166 65
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (131 131
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (131 131
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (96 16
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (96 16
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (43 43
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (42
  42
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (42 42
     (:REWRITE
          MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (42
  42
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (42 7
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (33
  33
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (33 33
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (33
  33
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (33
  33
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (33
  33
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (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))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (28
  28
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (28
   28
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (28
  28
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (28
  28
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (28 28
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (24
    24
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (17 17 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (16 16
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (16 16
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (16 16
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (16 16
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 8
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (8 8 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP))
 (7 7
    (:REWRITE
         MILAWA::RW.HYPBOX-ATBLP-WHEN-MEMBERP-OF-RW.HYPBOX-LIST-ATBLP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.HYPBOX-ATBLP-WHEN-MEMBERP-OF-RW.HYPBOX-LIST-ATBLP))
 (7 7
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (7
  7
  (:REWRITE
      MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS-ALT))
 (7 7
    (:REWRITE
         MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS))
 (7 7
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (7 7
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (7 7
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET)))
(MILAWA::RW.SECONDARY-EQTRACE-BLDR
 (2769 98
       (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (2557 37
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (1518 23
       (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (1288 28
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1232 28
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (784 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (506 23
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (305 104
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (283 122
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (268 268
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (245 245
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (156 26
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (156 26
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (114 19
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (104 104
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (104 104
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (69 3
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (61
  61
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (61 61
     (:REWRITE
          MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (61
  61
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (52 52 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (52 52 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (52 52
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (47
    47
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (47 47
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (47 47
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (47 47
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (47 47
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (47 47
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (47 47
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (47 47
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (46 23
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (39 3
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (39 3
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (28 28
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::TRUE-LISTP-OF-CDR))
 (23 23
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-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))
 (23 23
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (19 19
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP))
 (19
  19
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (19 19
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (19
  19
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (19
  19
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (19
  19
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (16
  16
  (:REWRITE
      MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS-ALT))
 (16 16
     (:REWRITE
          MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (3
  3
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (3
   3
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (3
  3
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (3
  3
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (3 3
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
