(MILAWA::RW.TRANS3-EQTRACE-BLDR)
(MILAWA::RW.TRANS3-EQTRACE-BLDR-UNDER-IFF
 (208 8 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (92 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (24 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (12 12
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (12
   12
   (:REWRITE
        MILAWA::LEMMA-3-FOR-FORCING-LOGIC.APPEALP-OF-RW.TRANS1-EQTRACE-BLDR))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (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))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (4
   4
   (:REWRITE
        MILAWA::LEMMA-4-FOR-FORCING-LOGIC.APPEALP-OF-RW.TRANS1-EQTRACE-BLDR))
 (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 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3
  3
  (:REWRITE
      MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS-ALT))
 (3 3
    (:REWRITE
         MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.TRANS3-EQTRACE-BLDR
 (40122 2802
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (25671 2136
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (12100 4373
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (9030 4373
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (8639 726
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (8126 2971
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (6945 555
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (4373 4373
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4373 4373
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (3897 3897
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (3897 3897
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (2975 2975
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2975 2975
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2975 2975
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2649
  2649
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (2649
      2649
      (:REWRITE
           MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (2233 372
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2233 372
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (2226 2226
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2124 59
       (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (2065 59
       (:REWRITE MILAWA::RW.EQTRACE-FORMULA-LIST-WHEN-NOT-CONSP))
 (2065 59
       (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (1484
  1484
  (:REWRITE
      MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS-ALT))
 (1484
     1484
     (:REWRITE
          MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS))
 (1376 51
       (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1287 1287
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB2-WHEN-RW.TRANS2-EQTRACE-OKP))
 (1287 1287
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB2-WHEN-RW.TRANS1-EQTRACE-OKP))
 (1235 1235
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1235 1235
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1235 1235
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1189 1189
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1189 1189
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1189 1189
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1139 1139
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1139 1139
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1124 1124
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1115 1115
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1036 37
       (:REWRITE MILAWA::LOGIC.BASE-EVALUABLEP-OF-LOGIC.FUNCTION-EQUAL))
 (1031 1031
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1031 1031
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1031 1031
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1031 1031
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1031 1031
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1009 1009 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (833 833
      (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB1-WHEN-RW.TRANS2-EQTRACE-OKP))
 (833 833
      (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB1-WHEN-RW.TRANS1-EQTRACE-OKP))
 (833 833
      (:REWRITE MILAWA::RW.EQTRACE->LHS-OF-SUB1-WHEN-RW.TRANS2-EQTRACE-OKP))
 (833 833
      (:REWRITE MILAWA::RW.EQTRACE->LHS-OF-SUB1-WHEN-RW.TRANS1-EQTRACE-OKP))
 (744 744 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (744 744
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (744 744
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (744 744
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (744 744
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (726 726
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (726 726
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (726 726
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (726 726
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (726 726
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (555 555
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (542
  542
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (489 21
      (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (481 37
      (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (447 447
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (420 15 (:REWRITE MILAWA::MEMBERP-OF-CAR))
 (413 413
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (370 74
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (345 345
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (289
  9
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (245 7
      (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (189 189
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (185 74
      (:REWRITE MILAWA::TRUE-LISTP-OF-CONS))
 (148 37
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (102
    102
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (102 102
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (102 102
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (102
     102
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (102 102
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (102 102
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (102 102
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (102 102
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (74 74
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (74 74
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (74
  74
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (74 74
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (74 74
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (63 63
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP))
 (63 63
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (63 63
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (59
   59
   (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-MEMBERP-OF-RW.EQTRACE-LIST-OKP-ALT))
 (59 59
     (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-MEMBERP-OF-RW.EQTRACE-LIST-OKP))
 (59 59
     (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-EMPTY-BOX))
 (59 59
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (59
    59
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (51 51
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (51 51
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (51 51
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (51 51
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (51 51
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (37 37
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (37 37
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (37 37
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (37 37
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (35 7
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (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))
 (7 7
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.TRANS3-EQTRACE-BLDR
 (105462 5966
         (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (74594 5653
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (30044 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (23309 10570
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (16291 6901
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (11949 936
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (10570 10570
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (10570 10570
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (9768 723
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (9426 9426
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (9426 9426
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (6266 6266
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (6266 6266
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (6266 6266
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5805 5805
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5081
  5081
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (5081
      5081
      (:REWRITE
           MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (4278 152
       (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3417 3417
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3417 3417
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3417 3417
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3388 121
       (:REWRITE MILAWA::LOGIC.BASE-EVALUABLEP-OF-LOGIC.FUNCTION-EQUAL))
 (3201 3201
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3201 3201
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3201 3201
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3142
  3142
  (:REWRITE
      MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS-ALT))
 (3142
     3142
     (:REWRITE
          MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS))
 (3034 505
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (3032 505
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (3006 3006
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3006 3006
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2981 2981
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2957 2957
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2721 2721
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB2-WHEN-RW.TRANS2-EQTRACE-OKP))
 (2721 2721
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB2-WHEN-RW.TRANS1-EQTRACE-OKP))
 (2628 73
       (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (2555 73
       (:REWRITE MILAWA::RW.EQTRACE-FORMULA-LIST-WHEN-NOT-CONSP))
 (2555 73
       (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (2155 2155 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1878 1878
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1878 1878
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1878 1878
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1878 1878
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1878 1878
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1616 1616
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB1-WHEN-RW.TRANS2-EQTRACE-OKP))
 (1616 1616
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB1-WHEN-RW.TRANS1-EQTRACE-OKP))
 (1616 1616
       (:REWRITE MILAWA::RW.EQTRACE->LHS-OF-SUB1-WHEN-RW.TRANS2-EQTRACE-OKP))
 (1616 1616
       (:REWRITE MILAWA::RW.EQTRACE->LHS-OF-SUB1-WHEN-RW.TRANS1-EQTRACE-OKP))
 (1573 121
       (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (1260
  1260
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1224 245
       (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (1044 1044
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1010 1010 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1010 1010
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1010 1010
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1010 1010
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1010 1010
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (937 937
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (937 937
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (937 937
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (936 936
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (936 936
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (936 936
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (887 887
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (827 38
      (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (760 760
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (738
  18
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (723 723
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (700 25 (:REWRITE MILAWA::MEMBERP-OF-CAR))
 (630 18
      (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (540 135
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (522 522
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (293
    293
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (293 293
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (293 293
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (293
     293
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (293 293
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (293 293
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (293 293
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (293 293
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (245 245
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (245
     245
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (245
  245
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (245
     245
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (245
     245
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (168 168
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (152 152
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (152 152
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (152
     152
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (152 152
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (142 142
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (135 135
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (135
     135
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (135 135
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (121 121
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (121 121
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (90 18
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (85 85
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (78 78
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP-ALT))
 (78 78
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP))
 (78 78
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (78 78
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (73
   73
   (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-MEMBERP-OF-RW.EQTRACE-LIST-OKP-ALT))
 (73 73
     (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-MEMBERP-OF-RW.EQTRACE-LIST-OKP))
 (73 73
     (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-EMPTY-BOX))
 (73 73
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (73
    73
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (38 38
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (23 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (20 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (18 18
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (18 18
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (17 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (13 13
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (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.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (2
   2
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.TRANS3-EQTRACE-BLDR
 (42858 3074
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (41316 3001
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (18142 6245
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (17238 3068
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14755 585
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (13354 869
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (11359 679
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (10783 5140
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (10290 3600
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (7605 585
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (7605 585
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (6245 6245
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6245 6245
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (6180 6180
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (6180 6180
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (5694 5694
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (5694 5694
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (3510 585
       (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (3259 3259
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (3259 3259
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (3259 3259
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (3097 3097
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3088 3088
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3088 3088
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2931
  2931
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (2931
      2931
      (:REWRITE
           MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (2845 474
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2845 474
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (2340 130
       (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (2340 65
       (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (2340 65
       (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (2275 65
       (:REWRITE MILAWA::RW.EQTRACE-FORMULA-LIST-WHEN-NOT-CONSP))
 (2275 65
       (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (1646
  1646
  (:REWRITE
      MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS-ALT))
 (1646
     1646
     (:REWRITE
          MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS))
 (1477 1477
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (1477 1477
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1477 1477
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1440 59
       (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1439 1439
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1439 1439
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1439 1439
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1431 1431
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB2-WHEN-RW.TRANS2-EQTRACE-OKP))
 (1431 1431
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB2-WHEN-RW.TRANS1-EQTRACE-OKP))
 (1361 1361
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1338 1338
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1338 1338
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1338 1338
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1338 1338
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1338 1338
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1119 1119 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1092 39
       (:REWRITE MILAWA::LOGIC.BASE-EVALUABLEP-OF-LOGIC.FUNCTION-EQUAL))
 (948 948 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (948 948
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (948 948
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (948 948
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (948 948
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (923 923
      (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB1-WHEN-RW.TRANS2-EQTRACE-OKP))
 (923 923
      (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB1-WHEN-RW.TRANS1-EQTRACE-OKP))
 (923 923
      (:REWRITE MILAWA::RW.EQTRACE->LHS-OF-SUB1-WHEN-RW.TRANS2-EQTRACE-OKP))
 (923 923
      (:REWRITE MILAWA::RW.EQTRACE->LHS-OF-SUB1-WHEN-RW.TRANS1-EQTRACE-OKP))
 (869 869
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (869 869
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (869 869
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (869 869
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (869 869
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (679 679
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (602
  602
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (585
  585
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (585 585
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (585 585
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (585 585
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (585 585
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (585 585
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (585 585
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (585
   585
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (585
  585
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (585 585
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (585 585
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (585 585
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (585
  585
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (585 585
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (585 585
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (585 585
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (585 585
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (585 585
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (585 585
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (585 585
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (585
  585
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (585 585
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (585
  585
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (585
  585
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (585
  585
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (539 20 (:REWRITE MILAWA::MEMBERP-OF-CAR))
 (518 23
      (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (507 39
      (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (499 499
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (459 459
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (390 78
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (390 65
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (381 381
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (289
  9
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (245 7
      (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (237 13
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (195 78
      (:REWRITE MILAWA::TRUE-LISTP-OF-CONS))
 (191 191
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (148 37
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (137 137
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (134 134
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (118
    118
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (118 118
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (118 118
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (118
     118
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (118 118
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (118 118
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (118 118
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (118 118
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (110 110
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (105 3
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (98 4 (:REWRITE MILAWA::MEMBERP-OF-SECOND))
 (78 78
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (78 78
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (78
  78
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (78 78
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (72 72
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (72 72
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (72 72
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (70 70
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP-ALT))
 (70 70
     (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP))
 (70 70
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (70 70
     (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (70 70
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (69
  69
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (69 69
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (69 69
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (65
   65
   (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-MEMBERP-OF-RW.EQTRACE-LIST-OKP-ALT))
 (65 65
     (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-MEMBERP-OF-RW.EQTRACE-LIST-OKP))
 (65 65
     (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-EMPTY-BOX))
 (65 65
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (65
    65
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (59 59
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (59 59
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (59 59
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (59 59
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (59 59
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (39 39
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (39 39
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (37 37
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (37 37
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (37 37
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (35 7
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (23 23
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (16 4
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (13 13
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (5 5
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (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))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.TRANS3-EQTRACE-BLDR
 (141033 8168
         (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (104981 8479
         (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (42792 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (34030 14777
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (22788 9623
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (16066 1232
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (14790 14790
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14790 14790
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (14777 14777
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (14777 14777
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (14777 14777
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (14777 14777
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (13074 1014
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (12949 12949
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (12949 12949
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (8696 8696
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8603 8603
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (8603 8603
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (8603 8603
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (7146 235
       (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6954
  6954
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (6954
      6954
      (:REWRITE
           MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (5865
  1966
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4984 178
       (:REWRITE MILAWA::LOGIC.BASE-EVALUABLEP-OF-LOGIC.FUNCTION-EQUAL))
 (4926 4926
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4926 4926
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4926 4926
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4773 4773
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4773 4773
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4773 4773
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4524
  4524
  (:REWRITE
      MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS-ALT))
 (4524
     4524
     (:REWRITE
          MILAWA::RW.EQTRACE->IFFP-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-IFFPS))
 (4433 4433
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4433 4433
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4417 4417
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4408 4408
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (4364 729
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (4362 729
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (4308 120
       (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (4060 116
       (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (4002 4002
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB2-WHEN-RW.TRANS2-EQTRACE-OKP))
 (4002 4002
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB2-WHEN-RW.TRANS1-EQTRACE-OKP))
 (3702 56
       (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3078 3078 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2633 2633
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2633 2633
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2633 2633
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2633 2633
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2633 2633
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2314 178
       (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (2254 2254
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB1-WHEN-RW.TRANS2-EQTRACE-OKP))
 (2254 2254
       (:REWRITE MILAWA::RW.EQTRACE->RHS-OF-SUB1-WHEN-RW.TRANS1-EQTRACE-OKP))
 (2254 2254
       (:REWRITE MILAWA::RW.EQTRACE->LHS-OF-SUB1-WHEN-RW.TRANS2-EQTRACE-OKP))
 (2254 2254
       (:REWRITE MILAWA::RW.EQTRACE->LHS-OF-SUB1-WHEN-RW.TRANS1-EQTRACE-OKP))
 (1927
  47
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (1780 356
       (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (1645 47
       (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (1604 1604
       (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1591 1591
       (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1452 1452 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1452 1452
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1452 1452
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1452 1452
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1452 1452
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1232 1232
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1232 1232
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1232 1232
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1232 1232
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1232 1232
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1186 1186
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1149 1149
       (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1014 1014
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (890 356
      (:REWRITE MILAWA::TRUE-LISTP-OF-CONS))
 (840 210
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (791 29
      (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (746 746
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (700 25 (:REWRITE MILAWA::MEMBERP-OF-CAR))
 (661
    23
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (619 56
      (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (457
    457
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (457 457
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (457 457
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (457
     457
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (457 457
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (457 457
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (457 457
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (457 457
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (369 369
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (369
     369
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (369
     369
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (356
  356
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (356
     356
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (238 238
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (235 235
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (235 235
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (235
     235
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (235 235
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (235 47
      (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (225 23
      (:REWRITE MILAWA::FORCING-LOGIC.TERMP-OF-LOGIC.=LHS))
 (221 221
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (210 210
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (210
     210
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (210 210
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (195 13
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (178 178
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (178 178
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (126 126
      (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP-ALT))
 (126 126
      (:REWRITE MILAWA::RW.EQTRACEP-WHEN-MEMBERP-OF-RW.EQTRACE-LISTP))
 (124 124
      (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP-ALT))
 (124 124
      (:REWRITE MILAWA::RW.HYPBOXP-WHEN-MEMBERP-OF-RW.HYPBOX-LISTP))
 (120
   120
   (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-MEMBERP-OF-RW.EQTRACE-LIST-OKP-ALT))
 (120 120
      (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-MEMBERP-OF-RW.EQTRACE-LIST-OKP))
 (120 120
      (:REWRITE MILAWA::RW.EQTRACE-OKP-WHEN-EMPTY-BOX))
 (120
     120
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (120
    120
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (120 120
      (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (93 23
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.VRHS))
 (65 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (52 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (47 47
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (47 47
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (47 47
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (47 47
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (46 46
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (29 29
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (24
   24
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.CONCLUSION))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (13 13
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::RW.EQTRACE-LIST-OKP-WHEN-EMPTY-BOX))
 (1 1
    (:REWRITE MILAWA::RW.EQTRACE-LISTP-OF-SUBSETP-WHEN-RW.EQTRACE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.EQTRACE-LISTP-OF-SUBSETP-WHEN-RW.EQTRACE-LISTP)))
