(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1
 (1694 77
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1496 77
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (437 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (330 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (304 11
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (210 210
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (210 210
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (210 210
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (204 34
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (160 160
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (160 160
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (159 7
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (156 6 (:REWRITE MILAWA::|(< 1 (len x))|))
 (140 6
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (137 117
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (133 133
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (131 131
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (122 122
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (115
     115
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (115 115
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (97 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (92 92
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (92 92
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (92 92
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (92 92
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (83 3
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (77 77
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (77 77
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (77 77
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (77 77
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (77 77
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (77 77
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (62 62
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (62 3
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (61 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (56 56 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (56 56 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (56 56
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (54 54
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (52 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (46 46
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (46 46
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (46 46
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (46 46
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (46 46
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (44 44
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (39 39
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (39 39
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (39 39
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (35 14
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (34
    34
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (34 34
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (29
    29
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (29
   29
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (27 27
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (18 6 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (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::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (15 15
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (6 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (4 4 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (3
   3
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (3
  3
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1
 (329 32
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (298 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (237 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (122 46
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (78 78
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (78 78
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (78 78
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (55 55
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (55 55
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (52 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (51 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (46 46
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (46 46
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (44 44
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (36 36
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (33 33
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (30 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (24 24
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (24 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (22 22
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (22 22
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (17 17
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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))
 (11 11
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8 8 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8 8 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8 8
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1
 (1080 90
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (882 63
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (708 63
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (365 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (191 191
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (191 191
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (191 191
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (153 15
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (127 127
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (120
     120
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (120 120
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (107 107
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (96 96
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (96 96
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (96 96
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (96 96
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (95 95
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (90 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (87 87
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (87 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (78 3
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (78 3 (:REWRITE MILAWA::|(< 1 (len x))|))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (63 63
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (63 63
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (63 63
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (63 63
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (63 63
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (63 63
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (48 48
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (48 48
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (48 48
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (48 48
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (48 48
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (48 48
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (39 39
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (37 37
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (37 37
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (37 37
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 27
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (27 27
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (27 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (25
    25
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (25 25
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (25 25
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (13
    13
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (13
   13
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (11 11
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (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::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (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))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1
 (333 36
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (318 27
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (242 27
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (179 67
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (117 23
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (106 7 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (103 4
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (101 101
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (101 101
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (101 101
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (75 75
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (75 75
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (75 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (67 67
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (60 60
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (60 60
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (60 60
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (51 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (49 49
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (37 27
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (34 34
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (30 30
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (30 30
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (30 30
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (30 30
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (30 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (29 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (27 27
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (27 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (26 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (23 23
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (23 23
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (23 1
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (9
   9
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8 8 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8 8
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (7
  7
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4
  4
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.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.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.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.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP
 (33970 889
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (32117 856
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (9446 428
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (7483 889
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6443 191
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (6178 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (5152 889
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (2918 2083
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (2886 111 (:REWRITE MILAWA::|(< 1 (len x))|))
 (2325 2325
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2318 2318
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2302 2302
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2302 2302
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2302 2302
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2302 2302
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2191 2191
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2191 2191
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1587 1587
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1587 1587
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1476 1476 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1476 1476
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1476 1476
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1189 29
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1102 29
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (889 889
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (889 889
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (889 889
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (889 889
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (889 889
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (889 889
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (856 856
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (574
     7
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (548 137
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (514 514
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (514 514
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (514 514
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (490 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (428 428
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (428 428
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (428 428
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (428 428
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (371
    371
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (371 371
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (371 371
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (371
     371
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (371 371
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (371 371
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (371 371
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (371 371
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (370 10
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (340 10
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (333 111
      (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (331 121
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (327 327
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (317 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (275 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (261 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (242 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (238 7
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (238 7
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (219 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (212 212
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (191 191 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (167 167
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (167 167
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (167 167
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (167 167
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (167 167
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (167 167
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (167 167
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (167 167
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (167 167 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (160 160
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (154 7
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (137 137
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (137
     137
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (137 137
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (137 137
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (137 137
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (137
     137
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (137 137
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (137 137
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (130 5
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (129 129
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (129 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (127 7
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (123 123
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (121 121
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (121 121
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (121 121
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (121 121
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (121 121
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (115 10
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (115 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (111 111
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (111 111
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (110 5
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (104 104
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (80 80
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (42 42
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (42 7
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (39 39
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (37
   37
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (36 36
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (31 31
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (29
  29
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (28 7
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (7 7
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (6
  6
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP
 (710 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (665 20
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (424 19
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (330 15 (:DEFINITION NOT))
 (164 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (140 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (131 58
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (122 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (83 58
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (79 54
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (58 58
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (46 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (38 38
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (38 38
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (20 20
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (5 5
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1328 38
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1242 38
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (848 38
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (616 28 (:DEFINITION NOT))
 (316 38
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (280 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (254 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (232 38
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (162 112
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (154 104
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (112 112
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (112 112
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (92 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (72 72
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (72 72
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (68 68 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (68 68 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (68 68
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (38 38
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (38 38
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (38 38
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (38 38
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (38 38
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (38 38
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (38 38
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12
    12
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (10 10
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (10 10
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (10 10 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (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::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP
 (802 37
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (714 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (666 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (250 95
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (234
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (164 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (155 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (122 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (96 96
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (96 96
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (96 96
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (96 96
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (95 95
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (68 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (58 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (52 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (38 38
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (38 38
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (32
    12
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-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::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (12 12
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (12
  12
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (12
  12
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (10 10
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP
 (710 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (665 20
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (492 24
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (234
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (207 84
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (164 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (155 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (128 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (122 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (115 21
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (103 4
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (84 84
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (59 54
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (55 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (49 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (38 38
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (38 38
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (20 20
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (14
    10
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (10 10
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (10
  10
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (10
    10
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (10
  10
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (10
    10
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (10
  10
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (10
  10
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (10
  10
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (10
  10
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (10
    10
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (10
    10
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (10
    10
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (10
  10
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (10
    10
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (10
  10
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (10
  10
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (10
    10
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP
 (710 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (665 20
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (516 27
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (234
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (224 88
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (182 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (164 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (128 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (122 28
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (122 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (103 4
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (96 61
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (88 88
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (64 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (58 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (52 4
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (38 38
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (38 38
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (36 36 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (36 36 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (36 36
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (28 28
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (24 4
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (23
    13
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 20
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (20 20
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 13
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (13 13
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (13
    13
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (13
  13
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (13
  13
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (13
  13
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (13
  13
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (13
    13
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (13
    13
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (13
  13
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (13
  13
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (7 7 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (4 4
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (4 4
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-HIGH
 (2346 51
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2244 51
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (966 48
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (516 51
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (504 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (494 19
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (306 51
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (261 9
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (260 10 (:REWRITE MILAWA::|(< 1 (len x))|))
 (234 9
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (201 201
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (201 201
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (182 182
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (145 145
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (120 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (92 92
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (82 82 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (82 82 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (82 82
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (80 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (79 79
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (71 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (63 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (51 51
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (51 51
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (49 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (48 48
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (48 48
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (48 48
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (34 34
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (34 34
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (30 10 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (22 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (20 20
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (20 20
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (20 20
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (19 19 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (12
    12
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (12
   12
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (12
    12
    (:REWRITE MILAWA::LOGIC.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::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2
 (2358 54
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2247 54
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1637 122
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (650 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (591 21
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (501 52
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (373 34
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (312 52
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (292 10
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (262 10
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (256 256
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (256 256
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (234 9 (:REWRITE MILAWA::|(< 1 (len x))|))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (222 222
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (210 180
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (141 3
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (125 125
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (122 122
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (122 122
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (122 122
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (95 95
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (95 95
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (88 22
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (86 86 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (86 86 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (86 86
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (54 54
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (54 54
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (54 54
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (54 54
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (54 54
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (54 54
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (52 52
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (46 46
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (46 46
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (44
    1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (42 42
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (37 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (34 34
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (31 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (29 29
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (27
    27
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (27 27
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (27 9 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (26 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (24
    24
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (24
   24
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (22 22
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (22 22
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (21 21 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (9 9
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (9 9 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (1
  1
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2
 (262 67
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (230 5
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (220 5
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (104 43
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (78 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (67 67
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (67 67
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (67 67
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (59 17
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (55 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (51 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (49 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (43 43
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (43 43
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (41 41
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (30 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (19 19
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (19 19
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (17 17
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (16
    16
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (16
   16
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8 8 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8 8 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8 8
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (5 5
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (5 5
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2
 (1310 125
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (389 32
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (299 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (230 5
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (220 5
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (125 125
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (125 125
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (125 125
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (118 118
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (86 86
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (84 84
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (78 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (55 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (51 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (49 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (48 48
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (35 35
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (32 32
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (31 31
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (31
    31
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (31
   31
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (31 31
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (30 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (21 21
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (21 21
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (13
    13
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (13 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8 8 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8 8 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8 8
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (5 5
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (5 5
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (5 5
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2
 (266 71
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (230 5
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (220 5
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (162 23
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (146 55
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (139 22
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (126 5
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (78 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (71 71
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (71 71
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (71 71
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (65 5
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (65 5
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (55 55
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (55 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (51 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (49 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (43 43
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (34 1
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (32 22
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (30 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (30 5
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (26 1 (:REWRITE MILAWA::|(< 1 (len x))|))
 (23 23
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (22 22
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (19 19
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (17 17
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (17
    17
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (17
   17
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (9 9
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8 8 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (8 8 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (8 8
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5
  5
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (5
   5
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (5
  5
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (5
  5
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (5 5
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (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::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (5 5
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (5 5
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (5
  5
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (5 5
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (2 2 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (1 1 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (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.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP
 (28595 767
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (26973 743
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (8316 378
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (6554 767
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (5621 167
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (5360 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (4454 767
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (2600 100 (:REWRITE MILAWA::|(< 1 (len x))|))
 (2532 1782
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1994 1994
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1987 1987
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1971 1971
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1971 1971
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1971 1971
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1971 1971
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1871 1871
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1871 1871
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1372 1372
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1372 1372
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1272 1272 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1272 1272
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1272 1272
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1107 27
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1026 27
       (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (767 767
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (767 767
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (767 767
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (767 767
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (767 767
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (767 767
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (743 743
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (574
     7
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (490 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (480 120
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (462 462
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (462 462
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (462 462
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (378 378
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (378 378
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (378 378
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (370 10
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (340 10
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (317 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (305 305
      (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (300 100
      (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (294
    294
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (294 294
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (294 294
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (294
     294
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (294 294
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (294 294
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (294 294
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (294 294
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (275 275
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (275 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (261 6
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (242 28
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (238 7
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (238 7
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (219 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (207 207
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (193 193
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (167 167 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (154 7
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (150 150
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (150 150
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (150 150
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (150 150
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (150 150
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (150 150
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (150 150
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (150 150
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (150 150 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (133 133
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (130 5
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (129 14
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (127 7
      (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (120 120
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (120
     120
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (120 120
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (120 120
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (120 120
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (120
     120
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (120 120
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (120 120
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (115 10
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (115 10
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (110 5
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (105 105
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (100 100
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (100 100
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (100 100
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (100 100
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (100 100
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (100 100
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (94 94
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (67 67
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (42 42
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (42 42
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (42 7
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (39 39
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (37
   37
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (31 31
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (31 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (29 29
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (28 7
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (27
  27
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (25 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (20 5
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (7 7
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (7 7
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (6
   6
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (6
  6
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP
 (664 19
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (621 19
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (424 19
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (308 14 (:DEFINITION NOT))
 (158 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (140 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (127 56
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (116 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (81 56
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (77 52
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (56 56
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (54 54
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (46 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (35 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (19 19
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (19 19
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (5 5
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1236 36
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1154 36
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (848 38
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (572 26 (:DEFINITION NOT))
 (304 36
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (280 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (246 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (220 36
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (158 108
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (150 100
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (108 108
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (92 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (76 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (70 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (68 68
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (68 68
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (64 64 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (64 64 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (64 64
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (38 38
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (10 10
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (10 10
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (10 10
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (10 10 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (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::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (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::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP
 (802 37
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (668 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (622 20
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (246 93
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (235
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (158 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (155 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (116 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (93 93
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (93 93
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (80 80
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (68 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (58 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (52 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (37 37
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32
    12
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (24 24
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (21 21
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20 20
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (20 20
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (20 20
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (12 12
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (12
  12
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (12
  12
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (12
    12
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (12 12
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (12
    12
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (12
   12
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (12
  12
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (10 10
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP
 (664 19
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (621 19
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (492 24
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (235
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (210 84
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (158 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (155 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (148 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (141 24
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (126 5
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (116 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (85 85
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (84 84
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (84 84
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (65 5
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (65 5
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (57 52
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (55 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (49 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 5
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (24 24
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (24 24
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (14
    10
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (10 10
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (10
  10
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (10
    10
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (10
  10
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (10
    10
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (10
  10
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (10
  10
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (10
  10
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (10
  10
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (10
    10
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (10
    10
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (10
    10
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (10
  10
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (10
    10
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (10 10
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (10
  10
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (10
  10
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (10
    10
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (10
   10
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (10
  10
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (9 9
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5
  5
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (5
   5
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (5
  5
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (5
  5
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (5 5
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (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::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5
  5
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP
 (664 19
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (621 19
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (516 27
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (235
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (227 88
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (182 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (158 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (148 31
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (148 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (126 5
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (116 19
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (94 59
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (88 88
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (88 88
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (77 77
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (65 5
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (65 5
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (64 2
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (58 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (48 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (36 36
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31 31
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (31 31
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (30 5
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (27 27
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (23
    13
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (19 19
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (19 19
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 13
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (13 13
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (13
    13
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (13
  13
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (13
  13
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (13
  13
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (13
  13
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (13
    13
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (13
    13
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (13
  13
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (13
  13
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (13
    13
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (13
   13
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (13
  13
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (9 9
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (7 7 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (7 7 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5
  5
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (5
   5
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (5
  5
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (5
  5
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (5 5
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (5 5
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (5
  5
  (:REWRITE
    MILAWA::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::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5
  5
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (3 3
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-HIGH
 (2116 46
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2024 46
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (830 41
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (465 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (446 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (442 17
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (276 46
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (234 9 (:REWRITE MILAWA::|(< 1 (len x))|))
 (232 8
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-CAR-WHEN-LOGIC.ALL-FUNCTIONSP))
 (208 8
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (178 178
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (162 162
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (97 13
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (83 83
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (83 83
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (74 74 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (74 74 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (74 74
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (72 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (71 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (70 70
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (63 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (49 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (46 46
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (46 46
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (41 41
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (30 30
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (30 30
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (30 30
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (27 9 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (22 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (18 18
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (17 17 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (13 13
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (13 13
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (13 13
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (13 13
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (10
    10
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (10
   10
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (9 9
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (9 9 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR)
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-UNDER-IFF
 (22 1 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (7 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (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))
 (2 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (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::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (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::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (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))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR
 (878 37
      (:REWRITE MILAWA::LOGIC.TERM-<-OF-CAR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (561 15
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (543 37
      (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (540 33
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (530 14
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (415 17
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (411
  31
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (380 25
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-BADGUY-WHEN-NOT-CONSP))
 (356 27
      (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (331 33
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (329 31
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (326
   8
   (:REWRITE
        MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-CDR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (287 12
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (272 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (200 106
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (181 13
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (106 106
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (106 106
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (86 14
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (86 14
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (54 54
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (48 48
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (44 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (40 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (40
    8
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (37 37
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (37
  37
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (33
  33
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (33 33
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (31
  31
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (31
  31
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (31 31
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (31
  31
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (30
  30
  (:REWRITE
       MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO-ALT))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO))
 (29 29
     (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (28 28 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (28 28
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (28 28
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (28 28 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (28 28
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (27 27
     (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (25
  25
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (20 20
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20 20
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (18 18 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (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::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (14 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (11 11
     (:REWRITE MILAWA::RW.DIRECT-IFF-EQTRACE-NORMALIZE-OKP-1))
 (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))
 (9 9
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (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::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (4 4
    (:REWRITE MILAWA::RW.EQTRACE-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (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.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (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))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR
 (1532 65
       (:REWRITE MILAWA::LOGIC.TERM-<-OF-CAR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (968 56
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (915 65
      (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (715
  53
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (709 27
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (670 26
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (662 41
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-BADGUY-WHEN-NOT-CONSP))
 (631 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (580 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (579 53
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (577 51
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (570 47
      (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (544
   14
   (:REWRITE
        MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-CDR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (482 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (381 24
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (363 181
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (181 181
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (124 31
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (122 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (122 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (103 103
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (103 103
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (103 103
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (75 75
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (66 66
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (65 65
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (65 65
     (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (65
  65
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (60 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (60
    12
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (54
  54
  (:REWRITE
       MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO-ALT))
 (54 54
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO))
 (53
  53
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (53
  53
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (53
  53
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (51
  51
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (51 51
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (51 51
     (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (47 47
     (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (44 44 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (40 40 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 40 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (40 40
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (40 40
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (39
  39
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (32 32
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (31 31
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (31 31
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (31 31
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (28 1
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (25 25
     (:REWRITE MILAWA::RW.DIRECT-IFF-EQTRACE-NORMALIZE-OKP-1))
 (24 24
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (15 15
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (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))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10 10 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (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::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (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))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR
 (2398 305
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2169 111
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2093 91
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (1183 91
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (1183 91
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (1011 321
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (967 36
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (908 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (878 37
      (:REWRITE MILAWA::LOGIC.TERM-<-OF-CAR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (546 91
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (543 37
      (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (540 33
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (502
  122
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (420 122
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (415 17
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (380 25
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-BADGUY-WHEN-NOT-CONSP))
 (356 27
      (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (331 33
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (326
   8
   (:REWRITE
        MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-CDR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (321 321
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (314 314
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (314 314
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (305 305
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (288 13
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (282 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (274 132
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (245 14
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (175 7 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (170 5
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (142 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (134 74
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (122
  122
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (122
  122
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (122
  122
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (111 111
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (91
  91
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (91
   91
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (91
  91
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (91
  91
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (91 91
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (91 91
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (91 91
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (91 91
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (91 91
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (91 91
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (57 57
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (57 57
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (57 57
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (44 11
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 7
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (40 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (40
    8
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (37 37
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (37 37
     (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (37 37
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (37
  37
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (35 7
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (33
  33
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (33 33
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (32 32
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (30
  30
  (:REWRITE
       MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO-ALT))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO))
 (29 29
     (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (28 28 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (28 28 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (28 28
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (28 7
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (27 27
     (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (25
  25
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (21 21
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (21 21
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (21 21 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 7 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (14 14
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (12 12 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (11 11
     (:REWRITE MILAWA::RW.DIRECT-IFF-EQTRACE-NORMALIZE-OKP-1))
 (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))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (9 9
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (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::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MALFORMED-CHEAP))
 (7
  7
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (7
  7
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (4 4
    (:REWRITE MILAWA::RW.EQTRACE-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (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::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-NHYP-BLDR
 (2114 79
       (:REWRITE MILAWA::LOGIC.TERM-<-OF-CAR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1589 68
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (1472 79
       (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (1233 36
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1153 35
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1036
  61
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (996 41
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (975 55
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-BADGUY-WHEN-NOT-CONSP))
 (973 88
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (872 63
      (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (828 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (802 61
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (776 27
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (682 31
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (658
   14
   (:REWRITE
        MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-CDR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (528 24
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (321 321
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (321 321
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (274 20
      (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-SECOND-WHEN-LOGIC.CONSTANT-LISTP))
 (262 182
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (218 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (218 35
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (216 24
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (134 35
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (120 24
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (114 114
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (114 114
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (114 114
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (107
    27
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CDR-WHEN-LOGIC.CONSTANT-LISTP))
 (96 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (96 24
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (88
  88
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (88 88
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (83 83
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (80 80
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (80 80
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (80 80
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (79 79
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (79 79
     (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (79
  79
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (70 70 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (70 70
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (70 70 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (70 70
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (65 65
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (65 65
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (65 65
     (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (65 65
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (63 63
     (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (62 62
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (62 62
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (62 62
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (61
  61
  (:REWRITE
   MILAWA::LOGIC.CONSTANT-LISTP-OF-LOGIC.FUNCTION-ARGS-WHEN-LOGIC.BASE-EVALUABLEP))
 (61
  61
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (61
  61
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (61
  61
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (54
  54
  (:REWRITE
       MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO-ALT))
 (54 54
     (:REWRITE
          MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-TWO))
 (51 51 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (48 48
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (48 48
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (48 48
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (39 39
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (39 39
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (36 36
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (36 36
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (35 35
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (35 35
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (35 35
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (35 35
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (35 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (35 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (33 33
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (33 33
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (33 33
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (31 31
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (24 24
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (24 24
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (24 24
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (24 24
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (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))
 (24 24
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (22
    22
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (22
   22
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (19 19 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (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::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14
  14
  (:REWRITE
       MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES-ALT))
 (14 14
     (:REWRITE
          MILAWA::RW.EQTRACE->LHS-WHEN-ALL-EQUALP-OF-RW.EQTRACE-LIST-LHSES))
 (12 12
     (:REWRITE MILAWA::RW.DIRECT-IFF-EQTRACE-NORMALIZE-OKP-1))
 (12 12
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (11 11
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (7
  7
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CDR-WHEN-LOGIC.VARIABLE-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::RW.EQTRACE-UNDER-IFF))
 (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))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE)))
(MILAWA::RW.DIRECT-IFF-EQTRACE-BLDR)
(MILAWA::RW.DIRECT-IFF-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.DIRECT-IFF-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))
 (460 10
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (440 10
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (298 92
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (176 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (100 100
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (100 44
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (60 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (60 10
     (: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))
 (20 20 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (20 20
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (20 20
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (20 20 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (20 20
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (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))
 (10 10
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (10 10
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (10 10
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (10 10
     (: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.DIRECT-IFF-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))
 (652 16
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (618 16
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (523 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (506 23
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (258 97
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (187 187
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (139 139
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (96 16
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (96 16
     (: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))
 (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))
 (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))
 (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))
 (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))
 (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.DIRECT-IFF-EQTRACE-BLDR
 (2413 320
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2164 106
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2093 91
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (1183 91
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (1183 91
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (1086 38
       (:REWRITE MILAWA::LOGIC.TERM-LIST-FORMULAS-WHEN-NOT-CONSP))
 (1026 306
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1026 22
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (866 31
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (818 17
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (576 96
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (528 8
      (:REWRITE MILAWA::CDR-OF-LOGIC.TERM-LIST-FORMULAS))
 (320 320
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (320 320
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (314 314
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (306 306
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (299 299
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (299 299
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (286 286
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (286 286
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (256 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (245 14
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (175 7 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (168 67
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (116 31
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (106 106
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (96
  96
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (96 96
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (96
  96
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (96
  96
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (96
  96
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (91
  91
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (91
   91
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (91
  91
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (91 91
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (91
  91
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (91 91
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (91 91
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (91 91
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (91 91
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (91 91
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (91 91
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (91 91
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (68 2
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (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))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (31 31
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (31 31
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE MILAWA::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))
 (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::ZP-WHEN-NOT-NATP-CHEAP))
 (21 21
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (21 7 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (20 20 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (20 20 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (20 20
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (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))
 (17 17
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (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.DIRECT-IFF-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))
 (1334 29
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1276 29
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (788 247
      (: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))
 (285 124
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (270 270
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (202 202
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (162 27
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (162 27
      (: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))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (54 54
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (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-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (29 29
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (29 29
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (29 29
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (29 29
     (: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)))
