(MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-ALL-IFFP
 (636
  10
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (530 20
      (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (347 23
      (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-IFFPS))
 (319 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (315 103
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (310 10
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (290 10
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (270 15
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (263 103
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (260 10
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (200 20
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (138 15
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (120 120
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (104 104
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (103 103
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (103 103
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (101 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (67 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (67 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (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))
 (47 47
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (40 40
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (40 40 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (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))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (32 16
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (22 22 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (22 22
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (22 22
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (22 22 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (22 22
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (20 20
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (20 20
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (18
  18
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (16 16
     (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (15 15
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::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::CAR-WHEN-ALL-EQUALP))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (12 12 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (11
   11
   (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (11 11
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (8 2
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (7 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE)))
(MILAWA::LOGIC.STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS
 (456 18
      (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (320
  6
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (296 12
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (208 6
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (178 6
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (178 6
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (178 6
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (157 56
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (148 6
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (142 6
      (:REWRITE MILAWA::RW.TRACE-LIST-IFFPS-WHEN-NOT-CONSP))
 (142 6
      (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-IFFPS))
 (133 54
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (122 11
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (116 55
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (95 9
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (63 63
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (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.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-LOGIC.LAMBDAP-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (43 8
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (43 8
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (17 17 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::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))
 (15 15
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 14 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (14 14
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (14 14
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (14 14 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (14 14
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (14 7
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (11 11
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (11 11
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (11 11
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (11 11
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (9 9
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (7 7
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (7 7
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (7 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (5 5 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS)))
(MILAWA::RW.CREWRITE-RULE-LEMMA)
(MILAWA::RW.CREWRITE-RULE-LEMMA-PROOF)
(MILAWA::LOGIC.FORMULAP-OF-RW.CREWRITE-RULE-LEMMA)
(MILAWA::CONCLUSION-OF-RW.CREWRITE-RULE-LEMMA-PROOF)
(MILAWA::LOGIC.PROOFP-OF-RW.CREWRITE-RULE-LEMMA-PROOF)
(MILAWA::RW.CREWRITE-RULE-LEMMA-BLDR
 (358 16
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (317 16
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (100 7 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (94 22
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (78 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (74 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (63 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (61 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (59
  10
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (39 27
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (38 1
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (36 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (33 23
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (27 27
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (27 27
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (27 27
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (25 9
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (22 22
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (22 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (21 21
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (21 7
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (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))
 (15 15
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (15 15
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (13 13
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 12
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (11 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (8 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-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.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.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::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (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))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (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.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (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::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.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::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-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::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::RW.CREWRITE-RULE-LEMMA-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.CREWRITE-RULE-LEMMA-BLDR
 (158 8
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (137 8
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (87
  8
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (74 5 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (62 5
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (45 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (36 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (31 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (30 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (26 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (21 9
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (15 15
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (11 11
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (11 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 10 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (10 10 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (10 10
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (10 10
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (9 9
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (8 8
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (8 8
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (8 8
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (8 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::TRUE-LISTP-WHEN-TUPLEP))
 (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::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.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-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.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-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.CREWRITE-RULE-LEMMA-BLDR
 (358
  19
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (255 15
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (198 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (166 13
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (147 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (111 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (68 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (31 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (30 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (26 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (26 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (20 20
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (20 20
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (20 20
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (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::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (19 19
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (16 16
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (13 13
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (11 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 10 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (10 10 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (10 10
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (8 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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::TRUE-LISTP-WHEN-TUPLEP))
 (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::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.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-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.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-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.CREWRITE-RULE-LEMMA-BLDR
 (220 12
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (192 10
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (115 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (100
  10
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (86 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (75 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (74 5 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (63 6
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (58 8
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (47 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (39 8
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (37 12
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (36 16
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (35 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (30 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (29 29
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (29 29
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (26 26
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (23 1
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (15 15
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (15 15
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (12 12
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (12 12
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (12 12
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (12 12
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 11
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (11 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 10 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (10 10 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (10 10
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (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-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (8 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (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.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-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 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3
  1
  (:REWRITE
   MILAWA::LOGIC.VARIABLE-LISTP-OF-LOGIC.FUNCTION-ARGS-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.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.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.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.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.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (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-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.CREWRITE-RULE-LEMMA-BLDR-OKP
 (8292 222
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (7828 217
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2437 222
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2243 101
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (2142 65
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1766 625
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1430 55 (:REWRITE MILAWA::|(< 1 (len x))|))
 (1289 222
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (762 517
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (630 630
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (625 625
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (621 621
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (621 621
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (621 621
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (621 621
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (566 566
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (566 566
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (410
     5
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (369 369
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (369 369
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (314 314 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (314 314
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (314 314
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (259 7
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (238 7
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (232 12
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (222 222
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (222 222
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (222 222
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (222 222
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (222 222
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (222 222
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (217 217
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (209 62
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (176 44
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (172 172
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (172 172
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (172 172
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (170 5
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (170 5
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (165 55 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (150 50
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (134 134
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (132 44
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (123 123
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (123 123
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (110 5
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-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))
 (87 29
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (65 65 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (62 62
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (62 62
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (62 62
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (60 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (55 55
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (55 55
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (50
    50
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (50 50
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (50 50
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (50 50
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (49 49
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (49 49
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (49 49
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (49 49 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (48 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (44 44
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (44 44
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (44 44
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (44 44
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (44 44
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (41 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (40 40
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (35 35
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (35 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (34 34
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (30 5
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (29 29
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (28 28
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (20 5
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (17
   17
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (14 14
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (7 7
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (7 7
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP
 (430 13
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (400 13
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (223 10
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (198 9 (:DEFINITION NOT))
 (121 13
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (105 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (80 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (77 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (49 34
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (46 31
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (34 34
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (22 22 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (22 22 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (22 22
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (13 13
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (13 13
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (13 13
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (13 13
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (13 13
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (13 13
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (9 9
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (6 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::RW.CREWRITE-RULE-LEMMA-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (768 24
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (712 24
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (446 20
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (352 16 (:DEFINITION NOT))
 (230 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (148 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (146 64
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (94 64
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (88 58
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (64 64
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (48 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 40 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (40 40 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (40 40
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 24
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (24 24
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (24 24
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (24 24
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (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))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (20 20
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP
 (490 22
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (434 14
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (401 14
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (243
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (167 61
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (121 13
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (103 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (80 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (61 61
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (46 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-NATP-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))
 (27
    9
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (22 22 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (22 22
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (22 22
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (16 16
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15 15
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (15 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::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (13 13
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (12 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10 10
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (10 4
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (9 9
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (9 9
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (9 9
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (9 9
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (9
  9
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (9
  9
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (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 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-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-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))
 (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))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP
 (544 17
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (508 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (292 13
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (243
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (155 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (147 60
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (114 7 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (103 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (94 17
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (60 60
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (54 39
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (50 50
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (36 11
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 28
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (28 28
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (17 17
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (13 13
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (13
    9
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (9 9
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (9 9
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (9
  9
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (9
  9
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (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 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (5 5 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-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::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.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::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.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.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP
 (544 17
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (508 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (316 16
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (243
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (171 66
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (155 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (121 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (116 7 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (112 4
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (94 17
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (82 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (79 44
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (73 4
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (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))
 (66 66
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (55 55
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (46 1
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-OF-CAR))
 (44 19
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (28 28
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (28 28
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22
    12
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (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::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (17 17
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (16 16
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (13 13
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (12 12
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (12
   12
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (12
  12
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (12
  12
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (12 12
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (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 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (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::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
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (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::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (5 5 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-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::LEN-WHEN-TUPLEP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (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::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.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.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (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.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.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
     MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.CREWRITE-RULE-LEMMA-BLDR-HIGH
 (634 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (581 22
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (166 7 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (136 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (132 22
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (113 46
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (88 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (77 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (62 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (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::TRICHOTOMY-OF-<))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (44 44 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (44 44
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (44 44
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (44 44
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (34 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (33 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (29 1
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (27 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (27 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (24 3
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (24 3
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (23 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 20
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (17 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 5
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (15 3
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (12 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (7 7
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (7 7
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (7 7
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (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.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-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))
 (4 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (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::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.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.FORMULAP-WHEN-MALFORMED-CHEAP))
 (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::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (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.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR
 (542 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (493 20
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (128 44
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (100 7 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (98 16
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (96 16
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (79 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (78 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (63
  14
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (61 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (47 35
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (43 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (41 31
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (40 40
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (38 1
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (36 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (35 35
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (35 35
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (33 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (32 32 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (32 32
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (32 32
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (32 32 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (32 32
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (30 30
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (25 25
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (25 25
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (25 9
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (22 22
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (22 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (20 20
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (20 20
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (20 20
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (19 19
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (18 18
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (11 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (8 8
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (8 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (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::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (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))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (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.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.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::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-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::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE)))
(MILAWA::RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-UNDER-IFF)
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR
 (204 9
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (181 9
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (91
  12
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (74 5 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (62 5
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (45 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (40 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (37 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (36 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (34 16
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (26 26
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (26 26
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (26 26
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (26 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (25 25
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (20 20
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (20 20
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (18 6
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (17 17
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (17 17
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (16 16
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (14 14
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 12 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (12 12 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (12 12
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (11 11
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (11 11
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (11 11
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (11 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (9 9
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (8 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-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))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (2 2
    (:REWRITE MILAWA::CONSP-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::TRUE-LISTP-WHEN-TUPLEP))
 (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::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.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-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.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-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR
 (530
  27
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (381 21
      (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (268 25
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (212 17
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (197 25
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (155 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (90 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (44 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (42 42
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (42 42
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (42 42
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (42 42
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (37 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (36 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (33 33
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (30 30
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (27 27
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (24 24
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (24 24
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 22
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (21 21
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (21 21
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (20 20
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (19 19
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (18 6
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (15 15
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (12 12 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (12 12
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (11 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (8 8
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (8 8
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (8 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (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 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (3
   3
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (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::TRUE-LISTP-WHEN-TUPLEP))
 (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::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.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-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.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-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR
 (266 13
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (236 11
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (115 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (104
  14
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (90 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (75 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (74 5 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (64 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (63 6
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (61 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (45 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (42 17
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (38 18
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (35 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (33 33
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (30 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (28 28
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (28 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (25 25
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (25 25
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (25 25
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (23 1
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (20 20
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (19 19
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (18 6
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (17 17
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (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::TRANSITIVITY-OF-<-TWO))
 (14 14
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (13 13
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (13 13
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (12 12 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (12 12
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 11
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (11 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (8 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (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.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-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 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3
  1
  (:REWRITE
   MILAWA::LOGIC.VARIABLE-LISTP-OF-LOGIC.FUNCTION-ARGS-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.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.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.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP-ALT))
 (1
   1
   (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.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.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (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-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (1
  1
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1 1
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP)))
(MILAWA::RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP
 (17168 452
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (16221 440
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (4571 206
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (4512 452
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (3529 107
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (3280 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2635 452
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (2340 90 (:REWRITE MILAWA::|(< 1 (len x))|))
 (1449 1044
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1223 1223
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1217 1217
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1213 1213
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1213 1213
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1213 1213
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1213 1213
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1123 1123
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1123 1123
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (778 778
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (778 778
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (688 688 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (688 688
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (688 688
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (592 16
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (544 16
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (492
     6
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (486 162
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (452 452
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (452 452
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (452 452
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (452 452
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (452 452
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (452 452
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (440 440
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (430 21
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (376 103
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (351 351
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (303 303
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (303 303
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (282 282
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (282 282
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (282 282
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (280 70
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (270 90 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (213 71
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (212 212
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (210 70
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (206 206
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (206 206
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (206 206
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (204 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (204 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (162
    162
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (162 162
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (162 162
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (162
     162
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (162 162
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (162 162
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (162 162
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (162 162
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (132 6
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (107 107 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (105 21
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (103 103
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (103 103
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (103 103
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (103 103
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (103 103
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (90 90
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (90 90
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (84 21
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (81 81
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (81 81
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (81 81
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (81 81
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (81 81
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (81 81
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (81 81
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (81 81
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (81 81 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (73 73
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (71 71
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (70 70
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (70 70
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (70 70
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (70 70
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (70 70
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (70 70
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (70 70
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (70 70
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (60 60
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (56 56
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (47 47
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (41 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (38
   38
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (36 6
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (35 5
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (24 6
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (23 23
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (17 17
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (6 6
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (6 6
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (6 6
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (6 6
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (6 6
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP)))
(MILAWA::BOOLEANP-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP
 (526 16
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (489 16
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (267 12
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (242 11 (:DEFINITION NOT))
 (139 16
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (105 3 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (98 16
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (89 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (55 40
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (52 37
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (40 40
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (38 38
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (38 38
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (28 28 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (28 28 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (28 28
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (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))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (9 9
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (6 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3 3 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (3 3
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP-OF-LOGIC.APPEAL-IDENTITY
 (960 30
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (890 30
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (534 24
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (440 20 (:DEFINITION NOT))
 (266 30
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (210 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (184 30
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (170 76
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (106 76
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (104 4 (:REWRITE MILAWA::|(< 1 (len x))|))
 (100 70
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (76 76
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (76 76
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (72 72
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (72 72
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (56 56
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (56 56
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (52 52 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (52 52 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (52 52
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (48 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (30 30
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (30 30
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (30 30
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (30 30
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (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 8
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (18 18
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 12
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (4 4 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (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::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP
 (556 25
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (530 17
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (490 17
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (244
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (188 70
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (139 16
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (103 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (98 16
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (71 71
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (71 71
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (71 71
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (71 71
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (70 70
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (57 57
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (51 3
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (47 47
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (46 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (31
    11
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (30 30
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (30 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (28 28 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (28 28 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (28 28
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (25 25
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (25 25
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (24 8
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (19 19
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (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))
 (17 17
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (17 17
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (16 16
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (16 16
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (12 3
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (11 11
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (11
  11
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (11
  11
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (11
    11
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (11
   11
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (11
   11
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (11
  11
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (11
    11
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (11
  11
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (11
  11
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (11
  11
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (11
  11
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (11
    11
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (11
    11
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (11
    11
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (11
  11
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (11
   11
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (11
    11
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (11
    11
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (11
   11
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (11
   11
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (9 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 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.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::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::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))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP
 (640 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (597 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (336 15
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (244
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (173 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (161 67
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (114 7 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (112 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (103 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (67 67
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (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.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-LOGIC.LAMBDAP-CHEAP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (65 65
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (60 45
     (:REWRITE MILAWA::CONSP-WHEN-NATP-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))|))
 (36 11
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (30 30 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (30 30
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (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))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 6
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (15 15
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (15 15
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (15 15
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (14
    10
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (13 13
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (11 11
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (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.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (10
  10
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (10
   10
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (10
  10
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (10
  10
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (10 10
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-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))
 (10 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (9 9
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (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 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (5 5 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (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 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::LEN-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (3 3 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.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::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.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.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP
 (640 20
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (597 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (360 18
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (244
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (185 73
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (173 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (121 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (120 4
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (116 7 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (112 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (90 2
     (:REWRITE MILAWA::FORCING-LOGIC.TERM-ATBLP-OF-LOGIC.=LHS))
 (85 50
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (82 2
     (:REWRITE MILAWA::FORCING-LOGIC.FORMULA-ATBLP-OF-LOGIC.VRHS))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (74 74
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (73 73
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (73 73
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (73 4
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (71 71
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (71 71
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (70 4
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (69 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (52 2 (:REWRITE MILAWA::|(< 1 (len x))|))
 (46 1
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-OF-CAR))
 (44 19
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (30 30 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (30 30 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (30 30
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (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::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))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (19 19
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (18 6
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (13 13
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (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.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (13
  13
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (13
   13
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (13
  13
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (13
  13
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (13 13
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-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))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (10 2
     (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (9 3 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (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::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
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (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::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (5 5 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (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.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (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::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (3 3
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.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.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (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.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.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.THEOREM-OKP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.SKIP-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROPOSITIONAL-SCHEMA-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.PROOFP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INSTANTIATION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.INDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.FUNCTIONAL-EQUALITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.EXPANSION-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CUT-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.CONTRACTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BETA-REDUCTION-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.BASE-EVAL-OKP))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.AXIOM-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.ASSOCIATIVITY-OKP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-OF-LOGIC.CONCLUSION-WHEN-LOGIC.APPEAL-STEP-OKP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VLHS-OF-LOGIC.CONCLUSION-OF-CAR-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-HIGH
 (1294 40
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1201 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (246 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (240 40
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (238 10
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (194 82
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (156 6 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (132 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (117 30
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (82 82
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (82 82
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (80 80 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (80 80
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (80 80 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (80 80
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (79 79
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (77 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (50 50
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (50 50
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (49 49
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (45 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (44 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (40 40
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (40 40
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (40 40
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (40 40
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (34 34
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (34 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (32 4
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (32 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (29 1
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (27 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (27 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (25 7
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (23 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (20 4
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (18 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (15
    15
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (15 15
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (13 13
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (10 10
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (7 7
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.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::LEN-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.VARIABLEP-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::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.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.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::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (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.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::RW.CREWRITE-RULE-LEMMA-LIST-BLDR
 (2537 106
       (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (1329 1329
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1329 1329
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1329 1329
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1329 1329
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1264 79
       (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (1233 53
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (1231 53
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (887 113
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (808 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (710 56
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (680 170
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (532 29
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (500 79
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (458 27
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (420 76
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (400 16
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (355 28
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (337 98
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (318 27
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (318 27
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (297 102
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (240 60
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (216 216
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (210 28
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (209 209
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (188 27
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (135 135
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (135 135
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (132 132
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (128 29
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (127 23
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (113 113
      (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (110 110
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (110 110
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (110 110
      (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (102 102
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (100 16
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (96 16
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (96 12
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (76 76
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (69 69
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (68 68
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (62 62
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (62 62
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (62 62
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (62 62
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (60 60
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (60 60
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (60 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (54 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (47 47
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (47 47
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (47 47 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (45 45
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (45 45
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (43 2
     (:REWRITE MILAWA::RANK-WHEN-NOT-CONSP))
 (32 32 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (32 32
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (32 32
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (32 32 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (32 32
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (29 29
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (29
  29
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (29
  29
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (29
   29
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (28
  28
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28
  28
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (28
  28
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (27
  27
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (27
   27
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (23 23
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (23 23
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (23 23
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (22 22
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (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::EQUAL-OF-BOOLEANS-REWRITE))
 (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))
 (14 7
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (13 13
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (12 12
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (9 1
    (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERM-OF-SOMEP-WEAK))
 (9 1
    (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERM-OF-SOMEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (8 4
    (:REWRITE MILAWA::LOGIC.SUBTERMP-IS-WEAKLY-ANTISYMMETRIC))
 (7 7 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (7 1
    (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERMP-WEAK))
 (7 1
    (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERMP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SUBTERMP-IS-TRANSITIVE-TWO))
 (4 4
    (:REWRITE MILAWA::LOGIC.SUBTERMP-IS-TRANSITIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4
  2
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (4 1
    (:REWRITE MILAWA::RANK-WHEN-MEMBERP-WEAK))
 (4 1 (:REWRITE MILAWA::RANK-WHEN-MEMBERP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-SUBTERM-AND-LOGIC.ALL-SUBTERM-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-SUBTERM-AND-LOGIC.ALL-SUBTERM-OF-SOMEP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-OF-LOGIC.ALL-SUBTERM-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-OF-LOGIC.ALL-SUBTERM-OF-SOMEP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-IS-LOGIC.SUBTERMP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-IS-LOGIC.SUBTERMP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-LOGIC.SUBTERMP-AND-LOGIC.SUBTERM-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-LOGIC.SUBTERMP-AND-LOGIC.SUBTERM-OF-SOMEP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (1 1
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP)))
(MILAWA::LEN-OF-RW.CREWRITE-RULE-LEMMA-LIST-BLDR
 (248 37
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (198 37
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (185 37
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (114 14
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (99 14
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (56 14
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (50 50
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (37 37 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (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))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (30 30 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (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))
 (26 13
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (21 21
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (21 21
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (15 5
     (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (14 14
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (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::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (9 9 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::|b <= c, a <= b --> a < 1+c|))
 (5 5
    (:REWRITE MILAWA::|a <= b, c != 0 --> a < c+b|))
 (5 5
    (:REWRITE MILAWA::|a <= b, c != 0 --> a < b+c|))
 (5 5
    (:REWRITE MILAWA::|a <= b, b <= c --> a < 1+c|))
 (5 5
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (5 5 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (5 5 (:REWRITE MILAWA::SQUEEZE-LAW-TWO))
 (5 5 (:REWRITE MILAWA::SQUEEZE-LAW-THREE))
 (5 5 (:REWRITE MILAWA::SQUEEZE-LAW-ONE))
 (5 5
    (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (5 5
    (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-LESS-OF-PLUS-TWO))
 (5 5
    (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-LESS-OF-PLUS))
 (5 5
    (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-EQUAL-OF-PLUS))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4
   4
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEAL-LISTP-OF-RW.CREWRITE-RULE-LEMMA-LIST-BLDR
 (2838 452
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2799 248
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (2488 88
       (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (2193 135
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (2083 86
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (2000 86
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (1413 67
       (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (1356 384
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1308 1308
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1308 1308
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1308 1308
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1308 1308
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1076 92
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (938 290
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (815 295
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (768 46
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (717 67
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (588 115
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (546 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (499 23
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (499 23
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (457 22
      (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (398 398
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (384 23
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (377 95
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (347 22
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (347 22
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (295 295
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (295 295
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (295 295
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (295 295
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (269 23
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (237 22
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (229 200
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (203 203
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (203 203
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (165 35
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (161 35
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (130 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (124 124
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (124 124
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (124 124
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (124 124
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (124 124
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (124 124
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (124 124
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (124 124
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (124 124 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (115 115
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (106 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (105 105
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (104 104
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (96 96
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (96 96
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (96 96
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (96 96
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (95 95
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (95 95
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (92 92
     (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (92 92
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (92 92
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (92 92
     (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (89 2 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (48 48
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (35 35
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (35 35
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (35 35
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (30 30
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (28 14
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (23
  23
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (23 23
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (23
  23
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23
  23
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23
  23
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (23
  23
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23
  23
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (23
   23
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23
   23
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (14 14 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 5
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (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 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (2 2
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT)))
(MILAWA::FORCING-LOGIC.STRIP-CONCLUSIONS-OF-RW.CREWRITE-RULE-LEMMA-LIST-BLDR
 (4550 213
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (4365 153
       (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (4338 213
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (4003 1232
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (3685 231
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (3391 3391
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (3391 3391
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3391 3391
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (3391 3391
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2933 1023
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (2475 116
       (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (2442 116
       (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (1977 33
       (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (1859 131
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1743 367
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1490 77
       (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (1389 74
       (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (1350 33
       (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (1322 1322
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1263 116
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (1232 1232
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1232 1232
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1232 1232
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1232 1232
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1232 1232
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1232 1232
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1232 1232
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1231 1231
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1231 1231
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1040 1040
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1040 1040
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1036 1036
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1036 1036
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (957 240
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (883 42
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (882 41
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (797 38
      (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (753 125
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (741 125
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (714 42
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (681 180
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (677 544
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (639 39
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (639 39
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (574 574
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (574 574
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (475 202
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (367 367
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (361 361
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (361 361
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (361 361 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (351 351
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (351 351
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (350 3
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (348 348
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (346 346
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (346 346
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (346 346
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (335 335
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (291 2 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (273 273
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (265 265
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (265 265
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (265 265
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (265 265
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (265 265
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (246 246 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (246 246
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (246 246
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (246 246
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (246 246
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (246 246
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (246 246
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (246 246
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (246 246
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (240 240
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (240 240
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (232 232
      (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (223 7
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (203 203
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (197 7
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (182 182
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (181 181
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (181 181
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (180 90
      (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (166 166
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (166 166
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (166 166
      (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (158 3
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (148 131
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (132 132
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (132 132
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (132 132
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (131 131
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (122 122
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (121
  37
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (90 90 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (88
  31
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (80
  80
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (80
   80
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (80 80
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (78
   78
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (69 69
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (54 54 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (54 54
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (54
    54
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (44 44
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (44 1
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (43
  43
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (43
  43
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (42 42
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (42
  42
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (42
  42
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (41
  41
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (39 13
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (36 12
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (34 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (33
  33
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (30 30
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (25 25
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (24 12
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (23 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (15 3
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (14 14
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (14 14
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (14
  1
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.FUNCTION-NAME-IN-LOGIC.STRIP-FUNCTION-NAMES-WHEN-MEMBERP))
 (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))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (12 4
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (11 11
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (9 3 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (9 3
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (8 8
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (5
   5
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (5 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.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.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.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::LOGIC.CONSTANTP-OF-CAR-WHEN-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::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (1 1
    (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE)))
(MILAWA::FORCING-LOGIC.PROOF-LISTP-OF-RW.CREWRITE-RULE-LEMMA-LIST-BLDR
 (3360 303
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (3358 552
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (3042 108
       (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (2649 165
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (2563 106
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (2512 115
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2480 106
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (2439 174
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2235 657
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1786 1786
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1786 1786
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1786 1786
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1786 1786
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1716 82
       (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (1629 507
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1597 103
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1417 515
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1280 112
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (1155 66
       (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (1123 394
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (952 28
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (941 110
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (920 56
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (870 82
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (700 28 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (673 673
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (657 657
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (657 657
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (657 657
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (657 657
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (657 657
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (657 657
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (657 657
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (657 657
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (657 657
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (600 28
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (600 28
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (558 27
      (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (548 548
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (548 548
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (515 515
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (515 515
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (461 116
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (460 28
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (423 27
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (423 27
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (398 398
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (398 398
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (384 110
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (364 28
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (364 28
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (320 28
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (288 27
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (218 218
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (218 218
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (218 218
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (218 218
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (218 218
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (218 218
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (218 218
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (218 218
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (218 218 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (198 33
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (193 115
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (193 39
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (182 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (174 174
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (168 28
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (129 129
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (127 127
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (117 117
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (117 117
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (117 117
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (117 117
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (116 116
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (116 116
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (115 115
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (115 115
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (115 115
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (115 115
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (112 112
      (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (112 112
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (112 112
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (112 112
      (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (108 108
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (108 108
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (103 103
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (99 99
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (99 99
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (99 99
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (99 99
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (98 98
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (89 2 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (84 84
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (84 84
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (84 28 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (59
  59
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (59 59
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (59 59
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (52 52 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (52 52 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (52 52
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (34 1
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (33 33
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (33 33
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (32 16
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (28
  28
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (28
   28
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (28
  28
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (28
  28
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (28
  28
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (28 28
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (28
  28
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (28 28
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (28
  28
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28
  28
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (28 28
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (28
  28
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (28
  28
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (28
  28
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (28
  28
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28
  28
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (28
   28
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28
   28
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (28
  28
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (28
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.FUNCTION-ARGS-IN-LOGIC.STRIP-FUNCTION-ARGS-WHEN-MEMBERP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (18 1
     (:REWRITE MILAWA::MEMBERP-OF-SECOND-IN-STRIP-SECONDS-WHEN-MEMBERP))
 (18 1
     (:REWRITE MILAWA::MEMBERP-OF-LEN-IN-STRIP-LENS-WHEN-MEMBERP))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16
  8
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (14
  1
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.FUNCTION-NAME-IN-LOGIC.STRIP-FUNCTION-NAMES-WHEN-MEMBERP))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (10 10
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (10
    10
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 1
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=RHS-IN-LOGIC.=RHSES-WHEN-MEMBERP))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (8
  8
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (6 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 4
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE)))
(MILAWA::RW.DISJOINED-CREWRITE-RULE-LEMMA-LIST-BLDR
 (3824 150
       (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (2500 2500
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2500 2500
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2500 2500
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2500 2500
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1848 88
       (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (1666 59
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (1664 59
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (1584 125
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (1452 188
       (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (1209 327
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1122 33
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (1122 33
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (1086 62
       (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (1078 255
       (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (994 88
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (740 32
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (726 33
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (677 204
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (656 30
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (589 208
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (543 31
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (501 30
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (501 30
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (428 84
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (400 16
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (383 31
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (356 30
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (336 336
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (287 33
      (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (272 68
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (255 32
      (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (255 32
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (208 208
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (192 192
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (192 192
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (188 188
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (188 188
      (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (165 33
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (165 33
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (160 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (155 155
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (155 155
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (155 155
      (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (145 5
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (132 33
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (128 24
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (125 125
      (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (104 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (100 16
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (99 33
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (98 14
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (96 16
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (93 93
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (93 93
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (93 93 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (91 91
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (91 91
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (91 91
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (91 91
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (91 91
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (91 91
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (84 84
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (79 79
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (76 76
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (70 70
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (70 70
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (70 70
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (70 70
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (68 68
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (68 68
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (43 2
     (:REWRITE MILAWA::RANK-WHEN-NOT-CONSP))
 (36 36
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (34 34
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (33 33
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (33 33
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (33 33
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (33 33
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (33
   33
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (33 33
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (33 33
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (33 33
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (33
  33
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (33 33
     (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (33 33
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (33
   33
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-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::STRIP-LENS-WHEN-TUPLE-LISTP))
 (32
  32
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (32
  32
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (32
   32
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (32 32
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (31
  31
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (31
  31
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (31
  31
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (31 31
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (30
  30
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (30
   30
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (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))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (18 9
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (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::EQUAL-OF-BOOLEANS-REWRITE))
 (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))
 (14 14
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (13 13
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (9 9 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (9 1
    (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERM-OF-SOMEP-WEAK))
 (9 1
    (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERM-OF-SOMEP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (8 4
    (:REWRITE MILAWA::LOGIC.SUBTERMP-IS-WEAKLY-ANTISYMMETRIC))
 (8
  4
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (7 1
    (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERMP-WEAK))
 (7 1
    (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERMP))
 (6 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (5 5
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.SUBTERMP-IS-TRANSITIVE-TWO))
 (4 4
    (:REWRITE MILAWA::LOGIC.SUBTERMP-IS-TRANSITIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (4 4 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (4 4
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 1
    (:REWRITE MILAWA::RANK-WHEN-MEMBERP-WEAK))
 (4 1 (:REWRITE MILAWA::RANK-WHEN-MEMBERP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-SUBTERM-AND-LOGIC.ALL-SUBTERM-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-SUBTERM-AND-LOGIC.ALL-SUBTERM-OF-SOMEP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-OF-LOGIC.ALL-SUBTERM-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-OF-LOGIC.ALL-SUBTERM-OF-SOMEP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-IS-LOGIC.SUBTERMP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-IS-LOGIC.SUBTERMP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-LOGIC.SUBTERMP-AND-LOGIC.SUBTERM-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-LOGIC.SUBTERMP-AND-LOGIC.SUBTERM-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (1 1
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP)))
(MILAWA::LEN-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-LIST-BLDR
 (248 37
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (198 37
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (185 37
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (114 14
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (99 14
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (56 14
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (50 50
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (37 37 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (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))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (37 37
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (30 30 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (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))
 (26 13
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (21 21
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (21 21
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (15 5
     (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (14 14
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (14 14
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (13 13 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (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::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (9 9 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::|b <= c, a <= b --> a < 1+c|))
 (5 5
    (:REWRITE MILAWA::|a <= b, c != 0 --> a < c+b|))
 (5 5
    (:REWRITE MILAWA::|a <= b, c != 0 --> a < b+c|))
 (5 5
    (:REWRITE MILAWA::|a <= b, b <= c --> a < 1+c|))
 (5 5
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (5 5 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (5 5 (:REWRITE MILAWA::SQUEEZE-LAW-TWO))
 (5 5 (:REWRITE MILAWA::SQUEEZE-LAW-THREE))
 (5 5 (:REWRITE MILAWA::SQUEEZE-LAW-ONE))
 (5 5
    (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (5 5
    (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-LESS-OF-PLUS-TWO))
 (5 5
    (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-LESS-OF-PLUS))
 (5 5
    (:REWRITE MILAWA::GATHER-CONSTANTS-FROM-EQUAL-OF-PLUS))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4
   4
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEAL-LISTP-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-LIST-BLDR
 (5098 452
       (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (4170 657
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (4039 248
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (2868 135
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (2308 86
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (2225 86
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (2099 2099
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2099 2099
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2099 2099
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2099 2099
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1748 67
       (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (1691 496
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1614 138
       (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (1536 92
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (1239 402
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1077 407
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1052 67
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (998 46
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (782 23
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (782 23
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (614 23
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (614 23
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (590 117
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (567 22
      (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (546 21
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (512 512
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (506 23
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (499 23
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (496 496
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (496 496
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (496 496
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (496 496
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (496 496
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (496 496
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (496 496
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (496 496
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (496 496
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (457 22
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (457 22
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (407 407
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (407 407
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (407 407
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (407 407
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (385 97
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (384 23
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (347 22
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (269 23
      (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (267 238
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (242 242
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (242 242
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (237 22
      (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (237 22
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (165 35
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (163 37
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (161 161
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (161 161
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (161 161
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (161 161
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (161 161
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (161 161
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (161 161
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (161 161
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (161 161 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (138 138
      (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (130 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (117 117
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (116 116
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (116 116
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (116 116
      (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (115 23
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (109 109
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (106 106
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (106 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (102 17
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (98 98
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (98 98
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (98 98
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (98 98
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (97 97
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (97 97
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (92 92
     (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (92 23
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (89 2 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (69 23
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (48 48
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (37 37
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (35 35
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (35 35
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (35 35
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (34 34 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (34 34
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (34 34 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (34 34
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 16
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (26 26
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (23
  23
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (23 23
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (23
  23
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (23 23
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (23
  23
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23
   23
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (23 23
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (23 23
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (23
  23
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (23
  23
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23
  23
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (23
  23
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (23
   23
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23
   23
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (23
   23
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (23 23
     (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (21 21
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (10 10
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8
  4
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (6 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (5 5 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 5
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT)))
(MILAWA::FORCING-LOGIC.STRIP-CONCLUSIONS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-LIST-BLDR
 (8995 432
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (8643 432
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (6676 2144
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6631 410
       (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (6611 6611
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (6611 6611
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (6611 6611
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (6611 6611
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (5292 1905
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (5091 251
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (3275 124
       (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (3227 127
       (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (2735 203
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2696 675
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2315 2315
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2274 35
       (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (2144 2144
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2144 2144
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2144 2144
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2144 2144
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2144 2144
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2144 2144
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2144 2144
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2143 2143
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2143 2143
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (2030 83
       (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (1958 491
       (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (1934 1934
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1934 1934
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1920 1920
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1920 1920
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1920 123
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (1717 74
       (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (1609 35
       (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (1539 80
       (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (1462 43
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (1462 43
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (1455 78
       (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (1418 29
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (1220 47
       (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (1218 45
       (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (1150 891
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1051 176
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1037 176
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1035 46
       (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (1029 40
       (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (1021 26
       (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (946 43
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (939 939
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (939 939
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (866 41
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (866 41
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (853 258
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (818 6
      (:REWRITE MILAWA::CONSP-OF-LOGIC.PEQUAL-LIST))
 (675 675
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (674 338
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (654 654
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (654 654
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (654 654 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (628 628
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (620 350
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (618 618
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (618 618
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (612 612
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (609 609
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (609 609
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (609 609
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (606 4 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (560 560
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (501 501
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (501 501
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (501 501
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (501 501
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (491 491
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (491 491
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (456 41
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (431 431
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (431 431
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (431 431
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (431 431
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (431 431
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (424 3
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (411 411
      (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (350 350 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (350 350
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (350 350
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (350 350
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (350 3
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (342 171
      (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (339 339
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (306 3
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (261 261
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (259 259
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (259 259
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (252 252
      (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (237 203
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (230 230
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (230 230
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (230 230
      (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (227
  90
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (215 43
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (204 204
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (204 204
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (204 204
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (203 203
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (203 3
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (173 3
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (172 172
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (172 43
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (171 171
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (163 55
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (156 3 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (141
  84
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (106 106
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (103 103
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (103 103
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (100 100
      (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (100
    100
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (97 97 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (93 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (90 30
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (87
  87
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (87
   87
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (84
   84
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (84 84
     (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (83
  83
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (83
   83
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (83 83
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (81 81
     (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (79 79
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (56 56
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (55 55
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (54 42
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (49 49
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (48
  48
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (48
  48
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (47 47
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (47
  47
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (46
  46
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (46
   46
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (46 46
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (45
  45
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (44 44
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (44 44
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (44 44
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (44 44
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (44 44
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (44 44
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (42 14
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (35
  35
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (35 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (28
    28
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (26 26
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (24 12
     (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (24 12
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (19 19
     (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (18 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (18
  1
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.FUNCTION-NAME-IN-LOGIC.STRIP-FUNCTION-NAMES-WHEN-MEMBERP))
 (16 16
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (16 16
     (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (14 14
     (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (13 13
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (10 1
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.VLHS-IN-LOGIC.VLHSES-WHEN-MEMBERP))
 (9 3
    (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (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-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.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (3 3
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (3 3
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (3 3
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (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.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::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-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::CDR-UNDER-IFF-WITH-LEN-FREE-IN-BOUND))
 (1 1
    (:REWRITE MILAWA::CDR-UNDER-IFF-WHEN-TRUE-LISTP-WITH-LEN-FREE)))
(MILAWA::FORCING-LOGIC.PROOF-LISTP-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-LIST-BLDR
 (6118 552
       (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (4924 802
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (4875 303
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (3474 165
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (2838 106
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (2755 106
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (2748 2748
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2748 2748
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2748 2748
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2748 2748
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2630 790
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2558 116
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2485 177
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2126 82
       (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (1981 640
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1920 168
       (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (1840 112
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (1724 648
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1599 105
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1280 82
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (1200 56
       (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (1177 448
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1155 66
       (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (952 28
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (947 111
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (918 27
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (918 27
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (808 808
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (790 790
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (790 790
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (790 790
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (790 790
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (790 790
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (790 790
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (790 790
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (790 790
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (790 790
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (740 28
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (740 28
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (700 28 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (693 27
      (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (681 681
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (681 681
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (648 648
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (648 648
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (600 28
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (594 27
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (558 27
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (558 27
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (469 118
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (460 28
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (453 453
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (453 453
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (423 27
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (390 111
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (364 28
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (364 28
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (320 28
      (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (288 27
      (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (288 27
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (261 261
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (261 261
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (261 261
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (261 261
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (261 261
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (261 261
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (261 261
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (261 261
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (261 261 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (210 116
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (198 33
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (193 39
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (182 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (177 177
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (168 168
      (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (168 28
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (141 141
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (141 141
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (141 141
      (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (135 27
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (131 131
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (131 131
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (119 119
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (119 119
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (119 119
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (119 119
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (118 118
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (118 118
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (116 116
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (116 116
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (116 116
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (116 116
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (112 112
      (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (110 110
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (110 110
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (108 27
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (107 107
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (105 105
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (89 2 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (87 29
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (84 84
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (84 84
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (84 28 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (59
  59
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (59 59
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (59 59
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (54 54 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (54 54 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (54 54
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (39 39
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (36 18
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (36
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.FUNCTION-ARGS-IN-LOGIC.STRIP-FUNCTION-ARGS-WHEN-MEMBERP))
 (35 35
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (33 33
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (33 33
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (29 29
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (29 29
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (28
  28
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (28
   28
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (28
  28
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (28 28
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (28
  28
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (28 28
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (28
  28
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (28 28
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (28
  28
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (28 28
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (28 28
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (28
  28
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (28
  28
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (28 28
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (28
  28
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (28
  28
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (28
  28
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (28
  28
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28
  28
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (28
  28
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (28
   28
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28
   28
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (28
   28
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (28
  28
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (27 27
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (27 27
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (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))
 (27
   27
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (27 27
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (27 27
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (24
  12
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (22 1
     (:REWRITE MILAWA::MEMBERP-OF-SECOND-IN-STRIP-SECONDS-WHEN-MEMBERP))
 (22 1
     (:REWRITE MILAWA::MEMBERP-OF-LEN-IN-STRIP-LENS-WHEN-MEMBERP))
 (20 20
     (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (18 18 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (18
  1
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.FUNCTION-NAME-IN-LOGIC.STRIP-FUNCTION-NAMES-WHEN-MEMBERP))
 (14 1
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=RHS-IN-LOGIC.=RHSES-WHEN-MEMBERP))
 (12
  12
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (12 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (10 10
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (10
    10
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::LOGIC.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (7 7 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (6 6
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (6 6
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (6 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (5 5
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1 1
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1)
(MILAWA::CROCK
 (652
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (544 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (412 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (258 2
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (256 68
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (242 62
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (232 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (224 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (224 8
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (218 66
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (202 44
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (170 10
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (162
     2
     (:REWRITE
          MILAWA::LOGIC.ALL-NEGATIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-NEGATIONSP))
 (150 8
      (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (126 2
      (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (96 16
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (88 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (88 2 (:REWRITE MILAWA::CONSP-OF-APP))
 (68 68
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (68 2
     (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (68 2 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (64 16
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (44 2
     (:REWRITE MILAWA::LOGIC.ALL-NEGATIONSP-WHEN-NOT-CONSP))
 (40 40
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (37 7
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (36 36 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (31 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (31 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (18 3
     (:REWRITE MILAWA::PREFIXP-OF-LIST-FIX-TWO))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (12 3
     (:REWRITE MILAWA::PREFIXP-OF-LIST-FIX-ONE))
 (10 10 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (10 10 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (10 10
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10
    10
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (7 7
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (7 7
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (7 7
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (7 7
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (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-ORDERED-SUBSETP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4 2
    (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (4 2
    (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-NEGATIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-NEGATIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::FORCING-LOGIC.ALL-NEGATIONSP-OF-LOGIC.NEGATE-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP)))
(MILAWA::CROCK2
 (168 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (122 5
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (120 4
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (108 3
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (86 2
     (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (44 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (37 1
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (32 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (31 11
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (27 11
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (27 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (25 25
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (23 1
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (13 13
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (13 13
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (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::LEN-WHEN-TUPLEP))
 (4 1
    (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1 1
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LOGIC.APPEALP-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1
 (995 3
      (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (735 33
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (663 4
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (649 16
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (620 18
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (603 22
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (519 5 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (507 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (489 15
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (469 158
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (421 108
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (351 6
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (345 3
      (:REWRITE MILAWA::LOGIC.NEGATE-FORMULAS-WHEN-NOT-CONSP))
 (336 2
      (:REWRITE MILAWA::CDR-OF-APP-WHEN-X-IS-CONSP))
 (333 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (330 2
      (:REWRITE MILAWA::MEMBERP-OF-LOGIC.PNOT-IN-LOGIC.NEGATE-FORMULAS))
 (319 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.PEQUAL-LIST))
 (308 158
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (291 3
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (281 8
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (279 116
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (268 7
      (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (254 126
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (245 4
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (244 4
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (211 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (210 4
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (181 4
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (162 162
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (162 6
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (158 158
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (150 1 (:REWRITE MILAWA::CDR-OF-REPEAT))
 (148 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (147 147
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (147 147
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (138 138
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (128 4
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (126 126
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (126 4
      (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (120 4
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (119 3
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (111 3
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (108 108
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (108 108
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (106 5 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (98 1
     (:REWRITE MILAWA::CDR-OF-LOGIC.NEGATE-TERM-LIST))
 (91 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (91 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (81 8
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (81 3
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (77 5
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (74 2
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (69 1
     (:REWRITE MILAWA::CDR-OF-RW.HYP-LIST-TERMS))
 (64 7
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (58 22
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (56 10
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (55 55
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (55 55
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (55 55 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (50 1
     (:REWRITE MILAWA::DECREMENT-LEN-WHEN-CONSP))
 (46 10
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (38 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (37 1
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (36 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (34 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (31 31
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (31 31
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (31 31
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (26 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (24 4
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (20 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (20 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (18 18
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (18 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 16
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (16 16
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (16 16
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (16 16
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (16 16
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15 5
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (12 3
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (11 7
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (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.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (9 9 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 4
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (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::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (7 7
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 4
    (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (6 4
    (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.SUBSTITUTE-FORMULA-LIST-OF-LOGIC.DISJOIN-EACH-FORMULA-LIST-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (5 5
    (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (5 5
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (5 5
    (:REWRITE MILAWA::APP-OF-CONS-WHEN-NOT-CONSP-RIGHT))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (4 4
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (4 4
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (4 4
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3
  3
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (3 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (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::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (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-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (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.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::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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-RW.RULE-CLAUSE-WHEN-NO-HYPS))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE)))
(MILAWA::LOGIC.CONCLUSION-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1
 (1811 5
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (1108 25
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1060 28
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (797 7 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (735 33
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (669 228
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (646 4
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (613 5
      (:REWRITE MILAWA::LOGIC.NEGATE-FORMULAS-WHEN-NOT-CONSP))
 (603 22
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (598 4
      (:REWRITE MILAWA::CDR-OF-APP-WHEN-X-IS-CONSP))
 (494 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (490 10
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (489 15
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (461 152
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (438 228
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (432 6
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (375 163
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (374 374
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (374 374
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (374 374
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (374 374
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (369 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (347 181
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (347 6
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (329 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (326 2
      (:REWRITE MILAWA::MEMBERP-OF-LOGIC.PNOT-IN-LOGIC.NEGATE-FORMULAS))
 (315 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.PEQUAL-LIST))
 (296 8
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (281 8
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (278 3
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (268 7
      (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (234 234
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (228 228
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (228 228
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (228 228
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (228 228
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (228 228
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (228 228
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (217 217
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (217 217
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (210 4
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (194 194
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (193 5
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (181 181
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (181 4
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (176 6
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (172 6
      (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (162 6
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (152 152
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (152 152
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (146 1 (:REWRITE MILAWA::CDR-OF-REPEAT))
 (142 13
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (129 7 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (128 4
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (111 3
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (98 1
     (:REWRITE MILAWA::CDR-OF-LOGIC.NEGATE-TERM-LIST))
 (91 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (91 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (81 8
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (81 3
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (77 5
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (76 12
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (74 2
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (72 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (69 1
     (:REWRITE MILAWA::CDR-OF-RW.HYP-LIST-TERMS))
 (67 67
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (67 67
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (67 67 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (58 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (56 10
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (52 12
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (50 1
     (:REWRITE MILAWA::DECREMENT-LEN-WHEN-CONSP))
 (47 47
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (47 47
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (47 47
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (47 35
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (46 10
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (40 40
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (40 40
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (40 40
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (40 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (40 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (37 1
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (36 12
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (32 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (32 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (24 4
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (15 5
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (12 6
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (12 3
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (11 11 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (11 7
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (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.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (8
  8
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-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::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (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::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (7 7
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (7 7
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (7 7
    (:REWRITE MILAWA::APP-OF-CONS-WHEN-NOT-CONSP-RIGHT))
 (6 6 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 4
    (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (6 4
    (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.SUBSTITUTE-FORMULA-LIST-OF-LOGIC.DISJOIN-EACH-FORMULA-LIST-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (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::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (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-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (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.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::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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-RW.RULE-CLAUSE-WHEN-NO-HYPS))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE)))
(MILAWA::LOGIC.PROOFP-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1
 (1449 4
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (1030 27
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (982 26
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (842 8 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (738 33
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (681 4
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (638 217
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (606 22
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (580 213
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (522 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (493 4
      (:REWRITE MILAWA::LOGIC.NEGATE-FORMULAS-WHEN-NOT-CONSP))
 (492 15
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (481 3
      (:REWRITE MILAWA::CDR-OF-APP-WHEN-X-IS-CONSP))
 (418 217
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (418 217
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (385 5
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (364 7
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (354 354
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (354 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (347 152
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (345 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (342 2
      (:REWRITE MILAWA::MEMBERP-OF-LOGIC.PNOT-IN-LOGIC.NEGATE-FORMULAS))
 (331 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.PEQUAL-LIST))
 (326 4
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (321 168
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (302 8
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (271 7
      (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (256 4
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (222 222
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (217 217
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (217 217
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (217 217
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (217 217
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (217 217
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (216 4
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (213 213
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (213 213
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (206 206
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (186 186
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (184 4
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (173 173
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (168 4
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (162 6
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (156 1 (:REWRITE MILAWA::CDR-OF-REPEAT))
 (155 5
      (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (154 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (148 5
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (128 4
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (112 11
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (111 3
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (103 17
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (101 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.NEGATE-TERM-LIST))
 (94 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (94 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (83 5
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (81 37
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (81 3
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (78 17
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (74 2
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (72 1
     (:REWRITE MILAWA::CDR-OF-RW.HYP-LIST-TERMS))
 (71 71
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (71 71
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (71 71 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (67 7
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (60 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (58 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (54 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (53 1
     (:REWRITE MILAWA::DECREMENT-LEN-WHEN-CONSP))
 (47 47
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (47 47
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (47 47
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (46 5
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (45 25
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (45 25
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (41 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (38 7
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (37 1
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (36 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (34 4
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (32 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (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.ALL-ATOMICP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (26 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (25 25
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (24 4
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (20 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (20 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (18 18 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (18 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (17
  17
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (17
  17
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (14 4
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (12 12
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (12 8
     (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (12 8
     (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (12 3
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (12 2
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (11 11
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (11 11
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 7
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (10
    10
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (10 5
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (10 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (9 9
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (8 8
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (8 8
    (:REWRITE MILAWA::APP-OF-CONS-WHEN-NOT-CONSP-RIGHT))
 (7 7
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (7 7
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.SUBSTITUTE-FORMULA-LIST-OF-LOGIC.DISJOIN-EACH-FORMULA-LIST-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
   2
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (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-ORDERED-SUBSETP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2 2
    (:REWRITE MILAWA::FORCING-RW.RULE-CLAUSE-WHEN-NO-HYPS))
 (2
  2
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (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.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::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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1
 (1116 36
       (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (988 4
      (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (848 280
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (744 18
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (714 14
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (709 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (598 26
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (573 9 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (565 12
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (554 221
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (547 280
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (499 235
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (499 190
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (494 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (354 13
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (349 8
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (342 4
      (:REWRITE MILAWA::LOGIC.NEGATE-FORMULAS-WHEN-NOT-CONSP))
 (332 5
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (332 2
      (:REWRITE MILAWA::CDR-OF-APP-WHEN-X-IS-CONSP))
 (329 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (326 2
      (:REWRITE MILAWA::MEMBERP-OF-LOGIC.PNOT-IN-LOGIC.NEGATE-FORMULAS))
 (315 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.PEQUAL-LIST))
 (296 8
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (284 284
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (280 280
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (280 280
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (280 280
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (280 280
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (280 280
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (280 280
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (259 259
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (259 259
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (259 7
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (253 7
      (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (252 252
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (252 7
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (238 7
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (235 235
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (235 235
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (218 12
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (211 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (192 6
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (190 190
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (190 190
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (171 5
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (162 6
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (160 5
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (157 6
      (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (146 1 (:REWRITE MILAWA::CDR-OF-REPEAT))
 (132 12
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (121 5
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (111 3
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (99 6
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (98 1
     (:REWRITE MILAWA::CDR-OF-LOGIC.NEGATE-TERM-LIST))
 (92 27
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (91 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (91 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (88 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (86 86
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (86 86
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (86 86
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (82 82
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (82 82
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (82 82 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (74 2
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (74 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (69 1
     (:REWRITE MILAWA::CDR-OF-RW.HYP-LIST-TERMS))
 (65 65
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (65 65
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (65 65
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (54 2
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (51 15
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (50 1
     (:REWRITE MILAWA::DECREMENT-LEN-WHEN-CONSP))
 (44 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (36 8
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (34 34
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (30 14
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (28 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (27 27
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (27 27
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (27
    27
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (27
   27
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (27 23
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (24
    24
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (24 14
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (22 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 14
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (20 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (18 18
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (16 16 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (14 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (13 9
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (12 12
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (12 12
     (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (12 3
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (11 1
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-APP))
 (10 10
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (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 8
     (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (10 8
     (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (10 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (10 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (10 1
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-APP))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (9 9
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (9 9
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (9 9
    (:REWRITE MILAWA::APP-OF-CONS-WHEN-NOT-CONSP-RIGHT))
 (8 8
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (8
  8
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (8
  8
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (8 8
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (8 4
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7
  7
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (7
   7
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-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-ORDERED-SUBSETP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.SUBSTITUTE-FORMULA-LIST-OF-LOGIC.DISJOIN-EACH-FORMULA-LIST-FREE))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (4 4
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (4 4 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4 4
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3
  3
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-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::FORCING-RW.RULE-CLAUSE-WHEN-NO-HYPS))
 (3 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (2 2
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (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.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP
 (1998 50
       (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (1544 274
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1309 11
       (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (922 50
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (882 18
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (814 19
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (709 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (700 38
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (691 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (681 19
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (666 18
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (646 19
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (623 623
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (623 623
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (623 623
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (555 555
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (555 555
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (555 555
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (555 555
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (554 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (539 11
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (532 38
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (516 12
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (513 19
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (490 10
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (432 16
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (417 3
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (402 6
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (360 6
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (312 8
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (290 9
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (289 60
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (275 275
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (274 274
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (266 7
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (258 6
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (253 11
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (247 15
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (245 7
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (242 11
      (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (238 238
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (238 238
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (226 226
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (208 2
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (187 5
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (140 4
      (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (135 5
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (126 6
      (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (121 7
      (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (120 4
      (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (105 3
      (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (102 102
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (102 102
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (102 102
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (102 3
      (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (90 12
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (90 3
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (78 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (76
  2
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (75 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (72 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (69 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (64 21
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (60 6
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (54 6
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (51 9
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (50 50
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (50 50
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (50 50
     (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (46 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (46 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (44 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (42 42
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (42 42
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (42 42
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (42 42 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (42 9
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (42 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (39 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (38 38
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (38 38
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (38 38
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (37 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (36 9
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (36 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (34 1
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (33 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (30 12
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (30 6
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (30 5
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (24 6
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (24 6
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (22 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (21 21
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (20 20
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (19 19
     (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (19 19
     (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (18 18
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (18
  18
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (15 15
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (15
  15
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (15
  15
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (12 12
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (12 12
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (12 12
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (12 12
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (12 12
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (12 12
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (12 2
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (11
  11
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (11 11
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (10
  10
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (10 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (10 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (9 9
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (9 9
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (9
  9
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (8
   8
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (7 7
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (7 7
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-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-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (6 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (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))
 (4
  4
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (3 3
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (3 3
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (3
  3
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (3
  3
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (3 3
    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (3 3
    (:REWRITE
         MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (3 3
    (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (3
  3
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (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.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (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-ORDERED-SUBSETP))
 (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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2 2
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1
    (:REWRITE MILAWA::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.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-HIGH
 (2627 71
       (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (1651 36
       (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (1478 36
       (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (1377 51
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (1227 384
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (980 350
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (896 28
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (854 350
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (817 817
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (817 817
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (817 817
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (817 817
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (804 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (777 21
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (637 14
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (637 14
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (567 21
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (488 8
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (481 13
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (481 13
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (442 13
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (384 384
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (384 384
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (352 11
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (352 11
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (352 11
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (333 9
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (324 12
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (301 301
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (301 301
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (301 301
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (296 8
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (296 8
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (296 8
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (259 7
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (189 7
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (184 8
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (176 8
      (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (152 8
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (132 132
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (132 132
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (132 132
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (126 126
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (126 126
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (126 126
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (126 126
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (126 126
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (126 126 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (92 8
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (84 14
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (80 8
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (72 8
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (72 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (68 12
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (61 29
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (60 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (56 14
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (56 12
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (54 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (51 51
     (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (48 8
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (48 8
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (48 8
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (41 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (40 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (36 36
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (36 36
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (36 36
     (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (33 9
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (32 8
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (32 8
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (32 8
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (29 29
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (29 29
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (22 22
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (16 16 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (16 16
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (16 16
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (16 16 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (15 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (14 14
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (14 14
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (14 14
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (13 13
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (13
  13
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (13
    13
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (12
  12
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (12
   12
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (12 4
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (11
  11
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (11
  11
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (8
  8
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (8 8
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (8 8
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (8 8
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (8 8
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (8 8
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (8 8
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (7
  7
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (7
   7
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::BOOLEANP-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP
 (444 15
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (346 10
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (258 12
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (249 6
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (228 13
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (221 64
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (193 4
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (185 56
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (161 4
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (144 43
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (143 4
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (137 8
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (136 64
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (136 1
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (128 2
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (127 64
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (126 4
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (119 8
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (114 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (113 1
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (110 5 (:DEFINITION NOT))
 (110 4
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (108 4
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (101 1
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (96 1
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (83 83
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (83 83
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (83 83
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (74 2
     (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (68 11
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (66 11
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (65 65
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (64 64
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (62 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (61 61
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (57 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (56 56
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (56 1
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (56 1
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (56 1
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (51 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (51 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (49 20
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (46 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (46 1
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (46 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (44 4 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (42 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (41 1
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (41 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (40 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (40 1
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (37 1
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (35
  1
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (34 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (34 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (32 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (32 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (28 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (26 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (24 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (23 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (23 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (23 1
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (22 22 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (22 22
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (22 22
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (22 22 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (22 22
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (20 20
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (20 20
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (20 20
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (20 20 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (18 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (16 2
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (15 15
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (13 13
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (13 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (12 12
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (12 12
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (12 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (10 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (8 8
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (8 8
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6
  3
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (6 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (6 1
    (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (6 1
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (6 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (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-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (4
  1
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (3
  3
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (3
  3
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (1
  1
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (1
  1
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (1
  1
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
      MILAWA::LOGIC.ALL-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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.CONCLUSION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP-OF-LOGIC.APPEAL-IDENTITY
 (888 30
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (692 20
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (498 12
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (434 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (424 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (386 8
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (368 24
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (366 108
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (322 8
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (286 8
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (284 82
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (274 16
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (272 2
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (268 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (256 4
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (252 8
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (250 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (238 16
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (228 4
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (226 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (220 8
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (216 8
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (202 2
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (192 192
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (192 192
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (192 192
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (192 192
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (192 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (176 8 (:DEFINITION NOT))
 (166 166
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (166 166
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (166 166
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (148 4
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (126 126
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (124 124
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (124 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (124 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (120 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (118 118
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (114 6
      (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (112 2
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (112 2
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (112 2
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (108 108
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (108 4
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (102 6
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (102 2
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (98 40
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (92 8
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (92 2
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (92 2
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (88 8 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (84 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (82 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (82 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (80 8
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (80 2
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (74 2
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (74 2
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (70
  2
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (68 12
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (68 2
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (68 2
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (64 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (64 2
     (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (64 2
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (64 2
     (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (64 2
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (64 2
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (64 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (64 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (56 12
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (54 2
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (52 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (52 2
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (48 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (46 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (46 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (46 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (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::LESS-WHEN-ZP-LEFT-CHEAP))
 (40 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (38 38
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (38 38
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (38 38
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (38 38 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (36 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (32 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (24 24
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (24 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (22 22
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (22 22
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (20 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (18 18
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (18 6
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (16 16
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (16 16
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (16 16
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (12 12
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (12 12
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12
  6
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (12 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (12 2
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (12 2
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (12 2
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (12 2
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (8 8
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (8 8
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (8 8
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (8 2
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (6
  6
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (4 2
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2 2 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (2 2
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (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.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.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.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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.CONCLUSION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2
   2
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP
 (420 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (342 12
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (297 6
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (275 4
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (273 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (270 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (261 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (261 12
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (258 12
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (256 4
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (245
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (243 9
      (:REWRITE MILAWA::LOGIC.PROVABLE-LIST-WITNESS-WHEN-NOT-CONSP))
 (243 6
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (228 13
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (207 12
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (198 6
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (193 4
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (171 9 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (171 6
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (162 6
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (157 157
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (157 157
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (157 157
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (136 1
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (130 130
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (129 129
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (128 4
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (122 122
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (122 122
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (115 37
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (111 111
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (111 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (110 4
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (101 1
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (87 1
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (83 2
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (83 2
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (83 2
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (73 2
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (70
  1
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (63 2
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (63 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (62 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (62 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (60 10
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (57 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (46 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (46 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (44 15
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (44 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (40 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (36 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (35
  1
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (34 16
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (34 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (34 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (32 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (32 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (30 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (28 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (26 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (26 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (24 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (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))
 (20 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 16
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (16 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (14 14 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (14 14
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (13 13
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (12 12
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (12 12
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (12 12
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (12 12
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (10
  5
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (9 9
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (6 1
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (6 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.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.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:TYPE-PRESCRIPTION MILAWA::LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (3
  3
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
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 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP
 (324 99
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (273 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (270 14
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (245
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (238 13
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (229 5
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (204 99
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (199 10
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (195 99
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (193 5
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (193 4
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (172 172
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (163 10
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (162 5
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (143 118
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (136 1
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (135 5
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (129 7 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (128 2
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (118 118
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (118 118
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (114 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (112 6 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (110 4
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (106 34
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (101 1
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (100 100
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (99 99
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (94 4
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (88 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (87 1
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (83 83
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (83 2
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (83 2
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (83 2
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (73 2
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (70 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (70
  1
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (67 6
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (66 4
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (63 2
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (62 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (57 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (46 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (46 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (43 14
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (41 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (40 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (40 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (35
  1
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (34 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (34 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (33 33
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (33 33
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (33 33
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (32 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (32 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (28 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.PROVABLE-LIST-WITNESS-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (22 22
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (22 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (20 20 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (20 20 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (20 20
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (18 6
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (18 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (16 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (16 2
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (13 13 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (13 13
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (12 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (10 10
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (10 10
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (10 10
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (10 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (7 7
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (7 7
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6
  3
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (6 1
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (6 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (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-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.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::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (4
  1
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:TYPE-PRESCRIPTION MILAWA::LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (3
  3
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (3
  3
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (3 1
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  (:REWRITE
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  (:REWRITE
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  2
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  2
  (:REWRITE
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  2
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    (:REWRITE
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 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (1
  1
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (1
   1
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (1
  1
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (1
  1
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (1
   1
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (1
   1
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP
 (348 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (273 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (270 14
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (245
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (238 13
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (229 5
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (213 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (204 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (199 10
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (193 5
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (193 4
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (179 179
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (163 10
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (162 5
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (161 13
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (153 128
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (137 40
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (136 1
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (135 5
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (128 128
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (128 128
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (128 2
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (121 7
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (115 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (114 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (110 4
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (106 106
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (101 1
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (98 98
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (96 1
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (88 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (83 2
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (83 2
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (83 2
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (75 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (73 2
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (71 2
     (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (70 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (70
  1
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (67 6
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (66 4
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (63 2
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (62 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (61 2
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (57 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (56 4
     (:REWRITE MILAWA::LOGIC.PROVABLE-LIST-WITNESS-WHEN-NOT-CONSP))
 (51 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (48 19
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (46 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (46 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (41 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (41 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (40 4
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (40 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (38 38
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (35
  1
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (34 6
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (34 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (32 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (28 6
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 22
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (22 22
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (20 20 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (20 20 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (20 20
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (20 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (18 18
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (18 18
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (18 18
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (18 18 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (18 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (17 17
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (16 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (16 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 2
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (13 13
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (13 13
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 12
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 4
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (12
  3
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (12 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (10 10
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (10 10
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (10 10
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (10
  5
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (10
    4
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (10 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (9 9
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (6 1
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (6 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (5 5
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (5 5
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (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-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (5 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (4
   4
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.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.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (4
  4
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (4
  4
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (4
  4
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (4
  4
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4 4
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (3
  3
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (3
  3
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (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.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (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-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1
  1
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (1
  1
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (1
  1
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (1
  1
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2)
(MILAWA::CROCK
 (652
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (544 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (412 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (258 2
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (256 68
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (242 62
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (232 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (224 8 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (224 8
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (218 66
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (202 44
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (170 10
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (162
     2
     (:REWRITE
          MILAWA::LOGIC.ALL-NEGATIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-NEGATIONSP))
 (150 8
      (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (126 2
      (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (96 16
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (88 4
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (88 2 (:REWRITE MILAWA::CONSP-OF-APP))
 (68 68
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (68 2
     (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (68 2 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (66 66
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (64 16
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (62 62
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (44 2
     (:REWRITE MILAWA::LOGIC.ALL-NEGATIONSP-WHEN-NOT-CONSP))
 (40 40
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (40 40
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (37 7
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (36 36 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (31 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (31 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (22 22
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (18 3
     (:REWRITE MILAWA::PREFIXP-OF-LIST-FIX-TWO))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (12 3
     (:REWRITE MILAWA::PREFIXP-OF-LIST-FIX-ONE))
 (10 10 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (10 10 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (10 10
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (10 10 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (10
    10
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (7 7
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (7 7
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (7 7
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (7 7
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (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-ORDERED-SUBSETP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4 2
    (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (4 2
    (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (2 2
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (2 2 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-NEGATIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-NEGATIONSP-ALT))
 (2 2
    (:REWRITE
         MILAWA::FORCING-LOGIC.ALL-NEGATIONSP-OF-LOGIC.NEGATE-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP)))
(MILAWA::CROCK2
 (178 4 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (147 5
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (144 6
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (140 4
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (123 3
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (96 2
     (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (46 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (42 1
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (32 32
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (32 12
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (32 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (28 12
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (27 1
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (14 14
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (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))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (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::LEN-WHEN-TUPLEP))
 (4 1
    (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (1 1
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2
 (1076 16
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (1050 48
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1012 5
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (966 36
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (790 22
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (762 24
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (752 21
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (623 17
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (580 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (563 6
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (526 7 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (507 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (441 128
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (377 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (376 376
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (376 376
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (376 376
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (376 376
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (372 12
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (372 9
      (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (354 9
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (352 5
      (:REWRITE MILAWA::LOGIC.NEGATE-FORMULAS-WHEN-NOT-CONSP))
 (346 153
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (341 2
      (:REWRITE MILAWA::CDR-OF-APP-WHEN-X-IS-CONSP))
 (333 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (330 2
      (:REWRITE MILAWA::MEMBERP-OF-LOGIC.PNOT-IN-LOGIC.NEGATE-FORMULAS))
 (319 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.PEQUAL-LIST))
 (315 163
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (249 8
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (248 8
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (233 5
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (231 5
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (218 10
      (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (216 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (215 3
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (204 204
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (200 200
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (194 8
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (187 187
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (187 187
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (163 163
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (150 6
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (150 1 (:REWRITE MILAWA::CDR-OF-REPEAT))
 (148 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (129 8
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (128 128
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (128 128
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (126 3
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (123 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (120 8
      (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (119 3
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (117 5
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (113 12
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (101 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (101 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (98 1
     (:REWRITE MILAWA::CDR-OF-LOGIC.NEGATE-TERM-LIST))
 (96 3
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (86 4
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (85 13
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (84 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (84 3
     (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (78 30
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (77 77
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (77 77
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (77 77 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (74 17
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (69 1
     (:REWRITE MILAWA::CDR-OF-RW.HYP-LIST-TERMS))
 (64 2 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (56 10
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (50 1
     (:REWRITE MILAWA::DECREMENT-LEN-WHEN-CONSP))
 (46 14
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (46 10
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (45 45
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (42 1
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (42 1
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (42 1
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (39 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (38 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (37 37
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (37 37
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (37 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (36 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (34 14
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (26 14
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (24 4
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (23 9
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (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))
 (20 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (20 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (19 19
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (19 19
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (19 19
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (19 19
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (16 16 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (16 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15
  15
  (:REWRITE
   MILAWA::LOGIC.SUBSTITUTE-FORMULA-LIST-OF-LOGIC.DISJOIN-EACH-FORMULA-LIST-FREE))
 (15 11
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (12 3
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (11 11
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (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 6
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (10 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (9 9
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (8 6 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (8 4
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (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::APP-WHEN-NOT-CONSP-TWO))
 (7 7
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (7 7
    (:REWRITE MILAWA::APP-OF-CONS-WHEN-NOT-CONSP-RIGHT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (6 4
    (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (6 4
    (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (6 1
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5 5 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (5 5
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (5 5
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (5 5 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (5
  5
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4
  4
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (3 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (2
   2
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (2 2
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (2
  1
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (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.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (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.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (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::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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (1
  1
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-RW.RULE-CLAUSE-WHEN-NO-HYPS))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2
 (4417 10
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (2633 65
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2512 61
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1953 71
       (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (1950 87
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1837 16
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (1796 55
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (1738 46
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (1726 12
       (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (1548 36
       (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (1546 539
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1517 10
       (:REWRITE MILAWA::LOGIC.NEGATE-FORMULAS-WHEN-NOT-CONSP))
 (1481 9
       (:REWRITE MILAWA::CDR-OF-APP-WHEN-X-IS-CONSP))
 (1082 12
       (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (1004 539
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (963 963
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (963 963
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (963 963
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (963 963
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (959 13
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (874 11
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (814 377
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (758 415
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (736 16
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (637 328
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (627 3
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (550 550
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (539 539
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (525 13
      (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (499 499
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (499 499
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (494 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (490 13
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (464 464
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (464 464
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (444 12
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (415 415
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (415 415
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (414 12
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (357 3
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (356 15
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (329 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (328 328
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (328 328
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (326 2
      (:REWRITE MILAWA::MEMBERP-OF-LOGIC.PNOT-IN-LOGIC.NEGATE-FORMULAS))
 (315 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.PEQUAL-LIST))
 (270 10
      (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (267 7
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (256 8
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (246 3
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (233 5
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (231 5
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (230 6
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (222 6
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (216 16
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (197 17
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (184 28
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (168 4
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (162 162
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (162 162
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (162 162 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (146 1 (:REWRITE MILAWA::CDR-OF-REPEAT))
 (126 3
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (126 2 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (120 92
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (120 24
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (108 12
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (101 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (101 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (98 1
     (:REWRITE MILAWA::CDR-OF-LOGIC.NEGATE-TERM-LIST))
 (96 3
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (93 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (91 91
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (91 91
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (90 90
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (87 35
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (84 24
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (83 83
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (83 83
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (83 83
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (69 1
     (:REWRITE MILAWA::CDR-OF-RW.HYP-LIST-TERMS))
 (65 65
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (65 65
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (65 65
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (65 65
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (65 65
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (61 61
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (60 24
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (60 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (60 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (56 10
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (50 1
     (:REWRITE MILAWA::DECREMENT-LEN-WHEN-CONSP))
 (48 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (46 10
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (42 1
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (42 1
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (42 1
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (38 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (37 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (35 35
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (35 35
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (35 35
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (35 35
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (35 35
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (27 9
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (27 1
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (25 25
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (24 24
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (24 24
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (24 24
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (24 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (24 24
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (24 24
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (24 4
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (22 22
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (22 11
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (20
  20
  (:REWRITE
   MILAWA::LOGIC.SUBSTITUTE-FORMULA-LIST-OF-LOGIC.DISJOIN-EACH-FORMULA-LIST-FREE))
 (20 20 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (19 15
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (15 15
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (15
    15
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (14 6
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (13 13
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (13 13
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (13 13
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (13 13
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (13
  13
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (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::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (12 12
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (12 12
     (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (12 12
     (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (12 12
     (:REWRITE MILAWA::APP-OF-CONS-WHEN-NOT-CONSP-RIGHT))
 (12 4
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (12 3
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (11 11 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (11
    11
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (11
   11
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (11 11
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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 6 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (10 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (9 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (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))
 (6 6 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (6 6
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (6 6
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (6 6 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (6 4
    (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (6 4
    (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (6 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (6 1
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (2 2
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (2
  1
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (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.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (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.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (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::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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (1
  1
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-RW.RULE-CLAUSE-WHEN-NO-HYPS))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2
 (1466 6
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (1171 33
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1114 29
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1103 16
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (1050 48
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (966 36
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (849 10
      (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (762 24
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (754 260
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (623 17
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (612 245
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (604 7
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (522 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (500 6
      (:REWRITE MILAWA::LOGIC.NEGATE-FORMULAS-WHEN-NOT-CONSP))
 (491 260
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (491 260
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (486 3
      (:REWRITE MILAWA::CDR-OF-APP-WHEN-X-IS-CONSP))
 (457 457
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (457 457
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (457 457
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (457 457
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (420 190
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (402 12
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (389 9
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (387 206
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (372 9
      (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (367 10
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (359 8 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (345 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (342 2
      (:REWRITE MILAWA::MEMBERP-OF-LOGIC.PNOT-IN-LOGIC.NEGATE-FORMULAS))
 (331 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.PEQUAL-LIST))
 (265 265
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (260 260
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (260 260
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (260 260
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (260 260
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (260 260
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (260 8
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (247 247
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (245 245
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (245 245
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (237 5
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (236 5
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (229 229
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (229 229
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (221 3
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (218 10
      (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (211 211
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (194 8
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (168 4
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (161 15
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (157 9
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (156 1 (:REWRITE MILAWA::CDR-OF-REPEAT))
 (150 6
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (146 9
      (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (126 3
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (126 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (117 5
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (115 14
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (104 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (104 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (103 17
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (101 45
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (101 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.NEGATE-TERM-LIST))
 (96 3
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (94 94
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (94 94
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (94 94 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (91 13
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (87 3
     (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (86 4
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (78 17
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (77 17
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (72 1
     (:REWRITE MILAWA::CDR-OF-RW.HYP-LIST-TERMS))
 (64 2 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (62 14
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (60 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (58 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (55 55
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (55 55
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (54 54
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (54 9
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (53 1
     (:REWRITE MILAWA::DECREMENT-LEN-WHEN-CONSP))
 (50 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (50 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (44 44
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (44 44
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (42 11
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (42 1
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (42 1
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (42 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (42 1
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (41 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (36 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (34 14
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (34 4
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (33 33
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (33 33
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (32 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (29 29
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 1
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (26 26
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (26 26
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (26 26
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (26 14
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (26 2
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (25 25 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (24 4
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (22 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (20 8
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (20 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (19 19
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (17
  17
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (17
  17
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (17 17
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (17 17
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (16 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (15
  15
  (:REWRITE
   MILAWA::LOGIC.SUBSTITUTE-FORMULA-LIST-OF-LOGIC.DISJOIN-EACH-FORMULA-LIST-FREE))
 (15 11
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (14
    14
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (14
   14
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (14 4
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (13 13
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (13 13
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (13 13
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (13 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (12 8
     (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (12 8
     (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (12 3
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (12 2
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (10
    10
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (10
    10
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (10 10
     (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::APP-OF-CONS-WHEN-NOT-CONSP-RIGHT))
 (10 6
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (10 5
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (10 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (9 9
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (8 8
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (8 6 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (7 7
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (6 6
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (6 1
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (5 5 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (5 5
    (:REWRITE
         MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOOKUP-IN-LOGIC.CALLMAP-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-LOGIC.TERM-LIST-ATBLP-IN-SMALLER-ARITY-TABLE))
 (4
   4
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.TERM-LIST-ATBLP-OF-LOGIC.=RHSES-FREE))
 (4 4
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (4 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
   2
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2
  2
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2 2
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LIST-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.TERM-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.TERM-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.TERM-ATBLP-WHEN-LOGIC.TERM-ATBLP-IN-SMALLER-ARITY-TABLE))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2 2
    (:REWRITE MILAWA::FORCING-RW.RULE-CLAUSE-WHEN-NO-HYPS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (2
   2
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (2
  2
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (2 2
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (2 2
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (2
  1
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (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.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (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-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (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::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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (1
  1
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2
 (1675 55
       (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (1223 33
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (1195 404
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1005 6
       (:REWRITE MILAWA::LOGIC.DISJOIN-FORMULAS-WHEN-SINGLETON-LIST))
 (931 25
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (885 25
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (849 19
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (847 847
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (847 847
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (847 847
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (847 847
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (818 38
      (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (814 336
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (767 404
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (732 352
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (710 28
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (691 11
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (580 11
      (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
 (566 257
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (494 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-APP))
 (411 15
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (408 408
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (404 404
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (404 404
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (404 404
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (404 404
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (404 404
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (404 404
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (381 381
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (381 381
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (372 372
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (372 372
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (372 9
      (:REWRITE MILAWA::CONSP-OF-STRIP-FIRSTS))
 (355 14
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (352 352
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (352 352
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (349 6
      (:REWRITE MILAWA::LOGIC.NEGATE-FORMULAS-WHEN-NOT-CONSP))
 (343 10
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (337 2
      (:REWRITE MILAWA::CDR-OF-APP-WHEN-X-IS-CONSP))
 (336 8
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (334 10
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (329 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (326 2
      (:REWRITE MILAWA::MEMBERP-OF-LOGIC.PNOT-IN-LOGIC.NEGATE-FORMULAS))
 (315 1
      (:REWRITE MILAWA::CDR-OF-LOGIC.PEQUAL-LIST))
 (296 8
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (272 8
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (257 257
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (257 257
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (252 7
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (245 19
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (222 6
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (216 8
      (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (216 4 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (211 3
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (198 9
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (192 6
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (189 7
      (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (185 5
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (175 9
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-TWO))
 (166 10
      (:REWRITE MILAWA::LOGIC.NEGATE-TERM-LIST-WHEN-NOT-CONSP))
 (146 1 (:REWRITE MILAWA::CDR-OF-REPEAT))
 (136 16
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (130 9
      (:REWRITE MILAWA::LOGIC.PEQUAL-LIST-WHEN-NOT-CONSP-ONE))
 (128 5
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (125 125
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (125 125
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (125 125 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (119 7
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (119 1
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (118 118
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (118 118
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (117 117
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (107 14
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (101 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (101 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (98 33
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (98 1
     (:REWRITE MILAWA::CDR-OF-LOGIC.NEGATE-TERM-LIST))
 (95 15
     (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (94 94
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (94 94
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (94 94
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (84 3
     (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (84 2
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (81 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (74 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (69 1
     (:REWRITE MILAWA::CDR-OF-RW.HYP-LIST-TERMS))
 (67 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (64 2
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (64 2 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (62 30
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (61 25
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (50 50
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (50 1
     (:REWRITE MILAWA::DECREMENT-LEN-WHEN-CONSP))
 (44 8
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (39 39
     (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (38 22
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (36 32
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (36 9
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (36 8
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (33 33
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (33 33
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (33
    33
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (33
   33
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (32 22
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (30 30
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (28 28
     (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (28 22
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (26
    26
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (26 26
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (25 25
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (25 25
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (25 25
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (25 25
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (24 20
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (23 23
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (23 23
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (23 23 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (20 20
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (20 20
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (20 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (19 19
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (18 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (15
  15
  (:REWRITE
   MILAWA::LOGIC.SUBSTITUTE-FORMULA-LIST-OF-LOGIC.DISJOIN-EACH-FORMULA-LIST-FREE))
 (15
   15
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (14
    14
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (14 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (12 12
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (12 3
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (11 11
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (11 11
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (11 11
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (11 11
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (11
  11
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (11
  11
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (11
  11
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (11 11
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (11 11
     (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
 (11 11
     (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (11 11
     (:REWRITE MILAWA::APP-OF-CONS-WHEN-NOT-CONSP-RIGHT))
 (11 1
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-APP))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (10
  10
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10
  10
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (10 8
     (:REWRITE MILAWA::PLUS-WHEN-ZP-RIGHT-CHEAP))
 (10 8
     (:REWRITE MILAWA::PLUS-WHEN-ZP-LEFT-CHEAP))
 (10 6
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (10 4
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (10 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (10 2
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-CONS))
 (10 1
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-APP))
 (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.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (9
   9
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (8 8
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (8
  8
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (8 6 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (8 4
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (7 7
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (7 7
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (7 7 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (7
  7
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (7
   7
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (7 7
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-FORMULA-WHEN-MALFORMED-CHEAP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 1
    (:REWRITE
         MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (4 4
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4
  4
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4 4
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3 3
    (:REWRITE MILAWA::FORCING-RW.RULE-CLAUSE-WHEN-NO-HYPS))
 (3 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-REPEAT))
 (3 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.FUNCTIONP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.CONSTANTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-CONSP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (2 2
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (2 2
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (2
  1
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP
 (1900 350
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1651 13
       (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (1415 45
       (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (1273 31
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1235 45
       (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (1069 31
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (1052 73
       (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (940 44
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (924 22
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (848 73
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (814 13
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (791 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (767 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (736 44
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (702 13
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (699 699
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (699 699
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (699 699
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (694 694
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (694 694
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (694 694
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (694 694
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (649 21
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (648 12
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (640 20
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (640 19
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (602 14
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (543 3
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (536 8
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (512 8
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (465 5
      (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-NOT-CONSP))
 (452 13
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (440 10
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (419 7
      (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (399 80
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (351 351
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (350 350
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (349 14
      (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (344 8
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (325 325
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (321 20
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (299 13
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (289 5
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (286 13
      (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (283 7
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (260 4
      (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (257 7
      (:REWRITE MILAWA::RW.RULE-LISTP-OF-CDR-WHEN-RW.RULE-LISTP))
 (227 7
      (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (224 2
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (222 15
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (220 8
      (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (197 7
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (195 3
      (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (190 5
      (:REWRITE
           MILAWA::LOGIC.FORMULA-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (180 8
      (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (167 20
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (165 6
      (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (161 161
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (161 161
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (161 161
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (150 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (142
  2
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (140 4
      (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-CDR-WHEN-RW.RULE-LIST-ATBLP))
 (137 5
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (105
    3
    (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-OF-CDR-WHEN-RW.RULE-LIST-ENV-OKP))
 (104 8
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (100 10
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (98 14
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (98 2
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (95 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (91 59
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (90 6
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (88 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (88 2
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (84 14
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (84 14
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (82 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (80 2
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-LOGIC.TERM-LISTP))
 (80 2
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (74 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (73 73
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (73 73
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (73 73
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (72 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (72 2
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (70 27
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (70 3
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (68 12
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (67 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (67 31
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (62 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (60 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (58 58
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (58 58
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (58 58
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (58 58
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (58 58 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (56 12
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (54 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (54 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (52 13
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (50 4
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (50 4
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (49 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (48 8
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (45 45
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (45 45
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (45 45
     (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (44 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (42 3 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (40 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (40 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (39 3
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (39 1
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (32 8
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (32 8
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (32 8
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-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))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (29 29
     (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (29 29
     (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (29 3
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (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))
 (28 2
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (27 27
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (27 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (26 26
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (22 1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (21 21
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (21
    21
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (20 20
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (20
  20
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (20
  20
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (20
  20
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (18 18
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (18 18
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (18 18
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (18 18
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (17 8
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (16
  16
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (16 16
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (16
  16
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (16 16
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (16 16
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (14 14
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (14 14
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (14 14
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (13 13
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (13 13
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (13
  13
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (13 13
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (13 13
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (13 13
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (13 13
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (13 13
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (13 13
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (12
  12
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (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-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (10
   10
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (10 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (10 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (8
  8
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (8 8
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (8 8
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (8 8
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (8
   8
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (7 7
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (6
  6
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (6
  6
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (6 6
    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (5 5
    (:REWRITE MILAWA::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.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (5
  5
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MALFORMED-CHEAP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (5 2
    (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (5 2
    (:REWRITE
         MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (4 4
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4
   4
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (3 3
    (:REWRITE
         MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (3 3
    (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (3
  3
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (3
  3
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (3
   3
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (3
  3
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (3
   3
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (3 3
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (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))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1
    (:REWRITE MILAWA::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.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (1
   1
   (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-HIGH
 (3959 107
       (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (2480 54
       (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (2106 78
       (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (1868 610
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1862 54
       (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (1792 56
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (1502 572
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1466 1466
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1466 1466
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1466 1466
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1466 1466
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1316 572
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1213 610
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1147 31
       (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (1008 24
       (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (808 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (808 16
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (768 24
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (610 610
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (610 610
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (610 610
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (610 610
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (610 610
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (610 610
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (610 610
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (610 610
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (610 610
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (610 10
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (588 14
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (572 572
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (572 572
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (572 572
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (572 572
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (570 15
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (555 15
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (555 15
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (510 15
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (444 12
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (444 12
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (444 12
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (427 427
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (427 427
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (427 427
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (416 13
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (378 14
      (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (378 14
      (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (378 14
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (378 9
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (370 10
      (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (370 10
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (336 8
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (333 9
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (330 15
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (256 8
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (207 9
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (198 9
      (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (194 194
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (194 194
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (194 194
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (190 10
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (186 186
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (186 186
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (186 186
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (186 186
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (186 186
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (186 186 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (160 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (151 51
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (145 5
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (135 15
      (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (115 10
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (100 10
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (96 16
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (90 10
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (90 10
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (85 15
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (78 78
     (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (70 15
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (66 22
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (64 16
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (60 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (60 10
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (56 56
     (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (54 54
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (54 54
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (54 54
     (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (54 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (51 51
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (51 51
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (51 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (50 50
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (50 50
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (50 50
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (50 50
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (50 10
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (41 11
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (40 10
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (40 10
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (36 9
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (25 25
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (25 25
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (25 25
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (25 25
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (25 25
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (25 25
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (25 25
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (22 22
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (22 22
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (21 21
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (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))
 (18 18 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (18 18 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (18 18
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (18 18
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (16 16
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (16 16
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (16
   16
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (16 16
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (15 15
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (15
  15
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (15
  15
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (15
    15
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (15 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-INVALID-MAYBE-EXPENSIVE))
 (14 14
     (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (14
  14
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (14
  14
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (14
   14
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (13
  13
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (13 13
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (13
   13
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (13 13
     (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (11 11
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (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-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (9
  9
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (9 9
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (9 9
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (8
  8
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (8
   8
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (7 1
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.FORMULAP))
 (5 5
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VARIABLEP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-OF-LOGIC.FUNCTION))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.FUNCTION)))
(MILAWA::BOOLEANP-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP
 (570 19
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (538 15
      (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (396 10
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (310 92
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (308 14
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (273 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (260 6
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (254 75
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (249 7
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (245 5
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (231 7
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (206 14
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (188 14
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (178 1
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (175 52
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (174 2
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (173 92
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (161 92
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (160 8
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (142 8
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (132 6 (:DEFINITION NOT))
 (130 2
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (128 2
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (122 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (121 5
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (121 1
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (109 1
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (105 105
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (105 105
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (105 105
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (96 1
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (93 93
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (92 92
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (90 1
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-NOT-CONSP))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (89 89
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (84 2
     (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (81 4
     (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (80 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (79 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (75 75
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (73 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (72 4
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (67 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (65
  1
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (64 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (64 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (62 5 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (61 1
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (61 1
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (59 1
     (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (59 1
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (59 1
     (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (59 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (56 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (56 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (54 8
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (53 53
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (53 53
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (53 53
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (53 24
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (51 9
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (51 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (51 1
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (51 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (47 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (46 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (46 1
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (44 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (42 9
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (42 3
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (42 1
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (42 1
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (41 1
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (41 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-LOGIC.TERM-LISTP))
 (39 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (37 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (37 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (35 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (35 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (35 1
     (:REWRITE
          MILAWA::LOGIC.FORMULA-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (34 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-CDR-WHEN-RW.RULE-LISTP))
 (32
    1
    (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-OF-CDR-WHEN-RW.RULE-LIST-ENV-OKP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-CDR-WHEN-RW.RULE-LIST-ATBLP))
 (30 1
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (28 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (27 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (27 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (27 1
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (27 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (26 26 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (26 26 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (26 26
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (26 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (25 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (25 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (24 24
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (24 24
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (24 24 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (24 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (24 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (22 3
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (22 3
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (18 18
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (18 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (15 15
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (14 14
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (14 14
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (14 14
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (12 12
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (12 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (10 1
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.VRHS-IN-LOGIC.VRHSES-WHEN-MEMBERP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (9 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (8
  4
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (6 6
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (6 1
    (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (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-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (4
  4
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (4 1
    (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (2 2
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (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::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (1
  1
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (1
   1
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.CONCLUSION))
 (1
   1
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (1 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP-OF-LOGIC.APPEAL-IDENTITY
 (1140 38
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (1076 30
       (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (792 20
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (612 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (524 26
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (520 12
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (504 146
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (498 14
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (490 10
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (462 14
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (458 28
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (412 28
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (376 28
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (356 2
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (348 4
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (346 100
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (342 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (320 16
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (318 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (288 288
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (284 16
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (260 4
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (256 4
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (244 4
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (242 10
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (242 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (220 10 (:DEFINITION NOT))
 (218 2
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (210 210
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (210 210
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (210 210
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (192 2
      (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (182 182
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (180 180
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (180 2
      (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-NOT-CONSP))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (174 174
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (168 4
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (162 8
      (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (148 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (146 24
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (146 14
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (144 8
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (134 2
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (130
  2
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (128 14
      (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (128 4
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (124 10
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (122 2
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (122 2
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (118 2
      (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (118 2
      (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (118 2
      (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (118 2
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (112 2
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (112 2
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (108 16
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (106 106
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (106 106
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (106 106
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (106 48
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (102 18
      (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (102 2
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (102 2
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (102 2
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (98 4
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (98 4
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (98 4
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (94 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (92 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (92 2
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (88 10
     (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (84 18
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (84 6
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (84 2
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (84 2
     (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (82 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (82 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-LOGIC.TERM-LISTP))
 (78 6
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (74 2
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (74 2
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (74 2
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (74 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (70 4
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (70 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (70 2
     (:REWRITE
          MILAWA::LOGIC.FORMULA-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (68 2
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (68 2
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (64 2
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-CDR-WHEN-RW.RULE-LISTP))
 (64
    2
    (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-OF-CDR-WHEN-RW.RULE-LIST-ENV-OKP))
 (64 2
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-CDR-WHEN-RW.RULE-LIST-ATBLP))
 (60 2
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (56 4
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (54 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (54 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (54 2
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (54 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (54 2
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (52 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (52 2
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (50 4
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (50 4
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (48 48 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (48 48
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (48 48 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (48 48
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (48 2
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (48 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (46 46 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (46 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (44 6
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (44 6
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (36 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (36 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (34 34
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (30 30
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (28 28
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (28 28
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (28 28
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (28 28
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (24 24
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (24 24
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (24 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (22
  22
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (22
  22
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (22 22
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (22 22
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (20 2
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.VRHS-IN-LOGIC.VRHSES-WHEN-MEMBERP))
 (18 18
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (18 18
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (18 6
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (16 16
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (16
  8
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (16
  4
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (16 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (14
    14
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (14
   14
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (14
    14
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (12 12
     (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (12 12
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (12 12
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (12 2
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (10 10
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (10 10
     (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (10 10
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (10 10
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (10 10
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (10 10
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (10 10
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (10 10
     (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (8
  8
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (8
  8
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (8 8
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (8
  8
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (8 2
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (8 2
    (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-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))
 (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 6
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (6 2
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (4 4
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (4 4
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (4
  4
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (4
  4
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (4 4
    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (4
  4
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (4 4
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (4 4
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (4
   4
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (4 4
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (4 4
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 2
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2 2 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (2 2
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (2 2
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (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.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.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))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (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::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (2
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.FORMULAP-OF-LOGIC.CONCLUSION))
 (2
   2
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::LEMMA-1-FOR-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP
 (563 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (445 9
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (404 14
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (384 20
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (373 9
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (340 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (334 4
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (332 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (328 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (322 322
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (312 20
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (308 14
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (297 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LIST-WITNESS-WHEN-NOT-CONSP))
 (294 12
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (273 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (256 4
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (246
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (245 5
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (240 12
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (225 12
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (225 8
      (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (201 6
      (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (196 196
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (196 196
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (196 196
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (179 179
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (178 178
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (178 1
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (171 171
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (171 171
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (171 12
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (160 4
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (157 4
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (132 42
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (132 1
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (121 5
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (109 1
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (100 34
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (93 2
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (93 2
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-NOT-CONSP))
 (87 1
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (84 2
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (83 2
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (81 4
     (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (74 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (73 12
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (73 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (73 2
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (72 4
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (70
  1
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (67 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (65
  1
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (64 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (63 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (59 1
     (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (59 1
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (59 1
     (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (59 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (54 2
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (52 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (51 9
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (50 50
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (50 50
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (50 50
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (46 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (46 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (44 6
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (42 9
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (42 3
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (40 6
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (40 1
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-LOGIC.TERM-LISTP))
 (39 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (37 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (37 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (36 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (35 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (35 1
     (:REWRITE
          MILAWA::LOGIC.FORMULA-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (34 34
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (34 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (34 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (34 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-CDR-WHEN-RW.RULE-LISTP))
 (32
    1
    (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-OF-CDR-WHEN-RW.RULE-LIST-ENV-OKP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-CDR-WHEN-RW.RULE-LIST-ATBLP))
 (31 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (30 1
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (28 9
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (28 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (27 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (25 25
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (25 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (25 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (24 24
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (24 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (24 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (24 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (21 21
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (20 20
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (20 20
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (20 20
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (20 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (18 18
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (18 18
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (18 6
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (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 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 4
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (16 4
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (16 2
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.VRHS-IN-LOGIC.VRHSES-WHEN-MEMBERP))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15
  8
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (14 14
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (13
  4
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (12 12
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (11 11
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (9 9
    (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (9 9
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (8 8
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (8 8
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::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::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (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))
 (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 6
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (5 5
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (4
  4
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (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.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (4 4
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (4 1
    (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (3 3
    (:TYPE-PRESCRIPTION MILAWA::LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (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-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (2
   2
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::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.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.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (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.FUNCTION-ARGS-UNDER-IFF-WITH-LEN-FREE))
 (1
   1
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.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))
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    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
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    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
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  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP))
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  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
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    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (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.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (1
  1
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (1
  1
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (1
  1
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (1
  1
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
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  1
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
 (1
  1
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (1
  1
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (1
   1
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (1
   1
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (1
  1
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (1
  1
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (1
  1
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (1
  1
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-EXPANSION-OKP))
 (1
  1
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
 (1
  1
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (1
   1
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
 (1
  1
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (1
  1
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
 (1 1
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
 (1
   1
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
 (1
   1
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
 (1
  1
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
 (1
   1
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP)))
(MILAWA::LEMMA-2-FOR-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP
 (430 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (347 8
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (332 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (320 16
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (302 8
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (295 17
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (283 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (251 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (250 17
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (248 248
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (248 248
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (248 248
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (248 248
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (246
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (245 5
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (239 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (227 10
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (191 10
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (178 1
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (168 143
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (165 9 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (153 10
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (143 143
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (143 143
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (135 135
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (134 134
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (132 1
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (128 2
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (127 127
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (123 39
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (122 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (121 5
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (109 1
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (105 105
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (101 15
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (94 4
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (93 2
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (93 2
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-NOT-CONSP))
 (87 1
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (85 4
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (84 2
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (83 2
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (82 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (81 4
     (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (77 6
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (73 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (73 2
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (72 4
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (70
  1
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (69 13
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (69 8
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (67 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (65
  1
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (64 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (59 1
     (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (59 1
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (59 1
     (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (59 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (54 2
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (51 9
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (47 47
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (47 47
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (47 47
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (46 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (45 16
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (42 9
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (42 3
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (41 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (41 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-LOGIC.TERM-LISTP))
 (39 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (37 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (37 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (35 1
     (:REWRITE
          MILAWA::LOGIC.FORMULA-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (34 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-CDR-WHEN-RW.RULE-LISTP))
 (32
    1
    (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-OF-CDR-WHEN-RW.RULE-LIST-ENV-OKP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-CDR-WHEN-RW.RULE-LIST-ATBLP))
 (32 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (30 1
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (28 2
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (27 1
     (:REWRITE MILAWA::LOGIC.PROVABLE-LIST-WITNESS-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (26 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (25 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (25 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (24 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (24 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (22 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (22 3
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (22 3
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (20 20
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (18 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (18 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (17 17
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (17 17
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (17 17
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (17 17
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (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::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (15 15 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (14 14
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (13 13
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (12 1
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10 10
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (10 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (10 1
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.VRHS-IN-LOGIC.VRHSES-WHEN-MEMBERP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (9 9
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (8 8
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (8
  4
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (8
  2
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (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-CLAUSE.NEGATIVE-TERMP))
 (5 5
    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (5 5
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (5 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (4 4
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (4
  4
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (4
  4
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (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::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (4 1
    (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (3 3
    (:TYPE-PRESCRIPTION MILAWA::LOGIC.PROVABLEP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (3 3
    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (3 1
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES-FREE))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (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.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (2
  2
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (2
   2
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
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   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP
 (460 143
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (347 8
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (332 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (320 16
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (302 8
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (295 17
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (283 15
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (263 143
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (258 258
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (258 258
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (258 258
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (258 258
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (251 143
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (250 17
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (246
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (245 5
      (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (228 18
      (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (227 10
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (191 10
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (188 19
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (178 153
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (178 1
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (157 48
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (153 153
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (153 153
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (144 144
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (143 143
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (136 136
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (132 1
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (128 2
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (122 2
      (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (121 7
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (121 5
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (114 114
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (109 1
      (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (101 15
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (100 11
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (96 1
     (:REWRITE MILAWA::FORCING-EQUAL-OF-LOGIC.FUNCTION-WITH-TWO-ARGS))
 (93 2
     (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (93 2
     (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (90 1
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-NOT-CONSP))
 (85 4
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (84 2
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (83 2
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (82 15
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (81 4
     (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::RW.HYP-LIST-TERMS-WHEN-NOT-CONSP))
 (80 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (77 6
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (75 3
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (73 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (73 2
     (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (72 4
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (70
  1
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (69 8
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (68 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-OF-CAR-WHEN-LOGIC.FORMULA-LISTP))
 (67 2
     (:REWRITE MILAWA::DEFINITIONP-OF-CAR-WHEN-DEFINITION-LISTP))
 (67 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (65
  1
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (64 7
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (63 4
     (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (59 1
     (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (59 1
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (59 1
     (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (59 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (56 4
     (:REWRITE MILAWA::LOGIC.PROVABLE-LIST-WITNESS-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (52 52
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (52 52
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (52 52
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (51 9
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (50 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (49 2
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (46 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-LIST-WHEN-NOT-CONSP))
 (46 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-RW.HYP-LIST-TERMS))
 (42 9
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (42 3
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (41 2
     (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (41 1
     (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (41 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (40 1
     (:REWRITE MILAWA::LOGIC.TERMP-OF-CAR-WHEN-LOGIC.TERM-LISTP))
 (39 3
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (37 1
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (37 1
     (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE
          MILAWA::LOGIC.FORMULA-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (34 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (34 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (34 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (33
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-CDR-WHEN-RW.RULE-LISTP))
 (32
    1
    (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-OF-CDR-WHEN-RW.RULE-LIST-ENV-OKP))
 (32 1
     (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-CDR-WHEN-RW.RULE-LIST-ATBLP))
 (31 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (28 2
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.VARIABLEP-OF-CAR-WHEN-LOGIC.VARIABLE-LISTP))
 (27 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::LOGIC.CONSTANTP-OF-CAR-WHEN-LOGIC.CONSTANT-LISTP))
 (27 1
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (26 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (26 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (25 2
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-WHEN-NOT-CONSP))
 (25 2
     (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-WHEN-NOT-CONSP))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (24 24 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (24 24 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (24 24
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (24 1
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (24 1
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-NOT-CONSP))
 (23 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (23 2
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (22 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (22 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (22 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (22 3
     (:REWRITE
          MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (22 3
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (20 20
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (20 20
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (20 20
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (20 20 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (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::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (19 19
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (18 18
     (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (18 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (18 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (17 17
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (17 17
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (17 17
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (16 16
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (16 16
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (16
  4
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (16 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (15 15
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (15 15
     (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (14 14
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (14 14
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (14 14
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (12
  6
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (12 2
     (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (10
    4
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (10 2
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (10 1
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.VRHS-IN-LOGIC.VRHSES-WHEN-MEMBERP))
 (9 9
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (9 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (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.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (8 2
    (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (7
   7
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (7 1
    (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (6 6
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (6
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (6 6
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (6 6
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6
   2
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6
  2
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (6 1
    (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (5 5
    (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (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-CLAUSE.NEGATIVE-TERMP))
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    (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
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    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
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    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
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    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
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  4
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (4
  4
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
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    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
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    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
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    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
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    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
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  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
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  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
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  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
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   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
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   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (4
  4
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
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  4
  (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
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  4
  (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
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    (:REWRITE
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  4
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-RIGHT-ASSOCIATIVITY-OKP))
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  4
  (:REWRITE
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-PEQUAL-FROM-EQUAL-OKP))
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  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-T-FROM-NIL-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
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  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-NIL-FROM-T-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-LIST-OKP))
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  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-MODUS-PONENS-2-OKP))
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  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LEFT-EXPANSION-OKP))
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  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-LAMBDA-PEQUAL-BY-ARGS-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-WHEN-NOT-NIL-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
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   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-T-FROM-NOT-NIL-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-PEQUAL-OKP))
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  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IFF-FROM-EQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-SAME-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NOT-NIL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-IF-WHEN-NIL-OKP))
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  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-T-FROM-NOT-NIL-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-NIL-FROM-NOT-T-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-FROM-PEQUAL-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-EQUAL-BY-ARGS-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-DUAL-SUBSTITUTION-LEMMA-1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-2-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CUT-LEMMA-1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-CONTRACTION-OKP))
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  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-PEQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-OKP))
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   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-OR-LEMMA-1-OKP))
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   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-NOT-PEQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-IFF-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-COMMUTE-EQUAL-OKP))
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   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOCIATIVITY-OKP))
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   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-4-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3A-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-3-OKP))
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  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2A-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-2-OKP))
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  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1A-OKP))
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   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-ASSOC-LEMMA-1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-PEQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-OR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-NOT-PEQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-IFF-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMMUTE-EQUAL-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.CANCEL-NEG-NEG-OKP))
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    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
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    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
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    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (4 1
    (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (4 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
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    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
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    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
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    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (3 3
    (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (3 3
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (3 3
    (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
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    (:REWRITE MILAWA::<-OF-CAR-WHEN-ALL-AT-LEASTP))
 (3 1
    (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
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 (2
  2
  (:REWRITE
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 (2 2
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
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    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
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    (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
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    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
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    (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
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    (:REWRITE
         MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
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    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (2
  2
  (:REWRITE
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 (2
  2
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (2
  2
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (2
   2
   (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::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))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (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-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2
  2
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2
   2
   (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE
         MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-EXPANSION))
 (2
   2
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
   1
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1
  1
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1 1
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (1 1
    (:REWRITE
         MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1 1
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::LOGIC.VARIABLEP-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.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.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (1
   1
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
       MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-ATBLP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-MALFORMED-CHEAP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBLP-WHEN-LOGIC.PROVABLEP))
 (1 1
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (1 1
    (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1 1
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (1
  1
  (:REWRITE
      MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE)
(MILAWA::LEMMA-1-FOR-RW.COMPILE-CREWRITE-RULE-TRACE
 (68 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (47 12
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (46 2
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (45 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (40 12
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (35 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-IFFPS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-HYPBOXES-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (23 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-IFFPS))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-HYPBOXES))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (12 12
     (: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-NONE-CONSP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.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))
 (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::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (4 1
    (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (2 2
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (2 2
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (1
   1
   (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LEMMA-2-FOR-RW.COMPILE-CREWRITE-RULE-TRACE
 (68 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (47 12
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (46 2
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (45 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (40 12
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (35 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-IFFPS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-HYPBOXES-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (23 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-IFFPS))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-HYPBOXES))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (12 12
     (: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-NONE-CONSP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (12 12
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.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))
 (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::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (7 7
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (4 1
    (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (2 2
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (2 2
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (1
   1
   (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1 1
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LEMMA-3-FOR-RW.COMPILE-CREWRITE-RULE-TRACE
 (68 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (56 2
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (54 2
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (41 11
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (40 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (35 11
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (35 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-HYPBOXES-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (28 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (23 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (23 1
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-HYPBOXES))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (11 11
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (4 1
    (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (1
   1
   (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (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::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LEMMA-4-FOR-RW.COMPILE-CREWRITE-RULE-TRACE
 (68 2
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (56 2
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (54 2
     (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (44 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (41 11
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (40 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (35 11
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (35 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-HYPBOXES-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (28 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (23 2 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (23 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (23 1
     (:REWRITE MILAWA::ALL-EQUALP-WHEN-NOT-CONSP))
 (22 1
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-HYPBOXES))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (14 14
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (11 11
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (6 6 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (6 1
    (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (4 1
    (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (2 2
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (2 2 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2 2
    (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (1
   1
   (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (1 1
    (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (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::ALL-EQUALP-WHEN-ALL-EQUALP-FREE))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (1 1
    (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1 1
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LEMMA-5-FOR-RW.COMPILE-CREWRITE-RULE-TRACE
 (56 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (39 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-IFFPS-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (27 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (22 1
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (22 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (18 6
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (16 6
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (14 6
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (9 9
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (9 9
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (9 9
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (9 9
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (6 6
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (6 6
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (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::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1
   1
   (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-WHEN-MEMBERP-OF-RW.TRACE-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::RW.TRACE-LISTP-OF-SUBSETP-WHEN-RW.TRACE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE)))
(MILAWA::LEMMA-6-FOR-RW.COMPILE-CREWRITE-RULE-TRACE
 (78 3
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (54 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (39 1
     (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (32 1
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (22 1 (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (16 5
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (15 5
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (13 5
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (11 11
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (5 5
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (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::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2 2
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1 1
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (1 1 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE-UNDER-IFF
     (138 3
          (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (132 3
          (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (66 3 (:DEFINITION NOT))
     (49 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
     (22 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (18 9
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (18 3
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
     (18 3
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
     (9 9
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (9 9
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
     (6 6 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
     (6 6
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
     (6 6
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
     (6 6 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
     (6 6
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
     (3 3
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
     (3 3
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
     (3 3
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
     (3 3
        (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
     (3 3
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
     (3 3
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
     (3 3
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
     (2 2
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
     (2 2
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
     (2 2
        (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
     (1 1
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END)))
(MILAWA::FORCING-LOGIC.APPEALP-OF-RW.COMPILE-CREWRITE-RULE-TRACE
 (13697 91
        (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (11059 275
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (9859 370
       (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (9410 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (9340 270
       (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (9283 275
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (8920 400
       (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (8624 409
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (8083 370
       (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (7378 18
       (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (6651 2360
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (6217 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (5889 185
       (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (5677 1936
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (5032 145
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (4995 185
       (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (4703 145
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (4602 270
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (4546 205
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (4359 201
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (4212 156
       (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (3768 172
       (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (3658 3658
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (3658 3658
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3658 3658
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (3658 3658
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (3334 42
       (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (3164 119
       (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (3025 3025
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3007 3007
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2944 84
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (2812 76
       (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (2665 95
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (2662 86
       (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2584 40
       (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (2448 18
       (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (2360 2360
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2360 2360
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2229 2229
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2229 2229
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (2229 2229
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1728 36
       (:REWRITE MILAWA::UNIQUEP-WHEN-MUTUALLY-DISJOINTP-AND-CONS-LISTP))
 (1710 18
       (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (1692 36
       (:REWRITE MILAWA::MUTUALLY-DISJOINTP-WHEN-NOT-CONSP))
 (1295 722
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1260 54 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (1260 18
       (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (1190 1190
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1190 1190
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1182 1182
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1182 270
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (1116 18
       (:REWRITE MILAWA::SUBMAPP-OF-CAR-WHEN-SUBMAP-OF-EACHP))
 (1008 36
       (:REWRITE MILAWA::SUBMAP-OF-EACHP-WHEN-NOT-CONSP))
 (926 182
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (918 54
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (897 36
      (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (872 872
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (872 872
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (872 872 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (816 28
      (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (760 152
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (756 18
      (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (704 704
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (704 704
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (650 270
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (627 18
      (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (612 18
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (605 605
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (605 605
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (594 99
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (594 99
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (594 18
      (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-CDR-WHEN-SUBMAP-OF-EACHP))
 (576 18
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (537 18
      (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (522 6
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (504 18
      (:REWRITE MILAWA::LOGIC.BASE-EVALUABLEP-OF-LOGIC.FUNCTION-EQUAL))
 (498 270
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (498 270
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (477 477
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (477 477
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (477 477
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (468 18
      (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (456 76
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (432 18
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (386 158
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (380 76
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (378 6 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (370 370
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (370 370
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (370 370
      (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (370 370
      (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (304 76
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (286
  286
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (265 265 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (254 86
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (252 96
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (240
  6
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (239 239
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (222 74
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (201 201
      (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (200 40
      (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (198 198 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (198 198
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (198 198
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (198 198
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (198 198
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (192 192
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (192 192
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (188 188
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (188
     188
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (188
     188
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (188 44
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (185 185
      (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (185 185
      (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (184 74
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (182 182
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (182 182
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (182
     182
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (182 182
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (180 36
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (169 169
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (164 164
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (158 158
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (158 158
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (158 158
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (158
     158
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (158 158
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (158 158
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (158 158
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (152 152
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (152
     152
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (152 152
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (145 145
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (145 145
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (145 145
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (145 145
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (145 145
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (145 145
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (120 40
      (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (108 18
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (108 4
      (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (91 91
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (90 36
     (:REWRITE MILAWA::TRUE-LISTP-OF-CONS))
 (76 76
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (76 76
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (74
    74
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (74 74
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (74 74
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (74 74
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (74 74
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (74 74
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (74 74
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (66 66
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (61 61
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (61 61
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (59 59
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (59
    59
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (54
  54
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (54 54
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (54
  54
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (54 54
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (46 46
     (:REWRITE MILAWA::EQUAL-OF-LEN-AND-ZERO))
 (44
    44
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (44 44
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (44
  22
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (40
  40
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (40
  40
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (40
  40
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (40 40
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (39 39
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (36 36
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (36 36
     (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-SUBSETP-WHEN-SUBMAP-OF-EACHP-ALT))
 (36 36
     (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-SUBSETP-WHEN-SUBMAP-OF-EACHP))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (36 18
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (30 30
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (30 6
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (29 8
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-IFFPS))
 (29 8
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-HYPBOXES))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (22
  22
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (20 5
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (18 18
     (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (18 18 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (18 18 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (18 18
     (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (18 18
     (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (18 18
     (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (18 18
     (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (18 18
     (:REWRITE MILAWA::RW.TRACEP-WHEN-MEMBERP-OF-RW.TRACE-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::RW.TRACEP-WHEN-MEMBERP-OF-RW.TRACE-LISTP))
 (18 18
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (18 18
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (18 18
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (18 18
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (18 18
     (:REWRITE MILAWA::FORCING-UNIQUEP-OF-DOMAIN-OF-CDR-OF-LOGIC.PATMATCH))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (18 18
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (12 6
     (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (11 11
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP)))
(MILAWA::FORCING-LOGIC.CONCLUSION-OF-RW.COMPILE-CREWRITE-RULE-TRACE
 (150344 6812
         (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (106260 704
         (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (105710 1032
         (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (92985 1774
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (85320 3160
        (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (84338 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (83611 3040
        (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (76197 1774
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (74904 3112
        (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (69806 2568
        (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (67456 3206
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (66823 3040
        (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (61055 21991
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (56893 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (55191 18771
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (49440 1520
        (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (49176 1522
        (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (42118 1384
        (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (41502 1032
        (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (41040 1520
        (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (38237 38237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (38237 38237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (38237 38237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (38237 38237
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (35276 1598
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (26941 26941
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (26881 26881
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (26270 710
        (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (24682 60
        (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (21991 21991
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (21991 21991
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (20392 20392
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (20392 20392
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (20392 20392
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (18146 557
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (16854 557
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (13054 372
        (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (12984 472
        (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (11506 178
        (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (11350 374
        (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (10726 126
        (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (10486 10486
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (10486 10486
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (10452 10452
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (9552 1032
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (8933 7016
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (8160 60
       (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (7688 7688
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (7688 7688
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (7688 7688
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (7130 1434
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (6956 6956
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (6956 6956
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5760 120
       (:REWRITE MILAWA::UNIQUEP-WHEN-MUTUALLY-DISJOINTP-AND-CONS-LISTP))
 (5700 60
       (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (5640 120
       (:REWRITE MILAWA::MUTUALLY-DISJOINTP-WHEN-NOT-CONSP))
 (4752 4752
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4752 4752
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (4684 1532
       (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (4582 1032
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (4260 710
       (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (4200 180 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (4200 60
       (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (3720 60
       (:REWRITE MILAWA::SUBMAPP-OF-CAR-WHEN-SUBMAP-OF-EACHP))
 (3569 164
       (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (3566 1430
       (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (3550 710
       (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (3454 3454
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (3454 3454
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (3454 3454
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (3360 120
       (:REWRITE MILAWA::SUBMAP-OF-EACHP-WHEN-NOT-CONSP))
 (3162 1032
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3162 1032
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (3060 180
       (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (3040 3040
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (3040 3040
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (3040 3040
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (3040 3040
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (2912 104
       (:REWRITE MILAWA::LOGIC.BASE-EVALUABLEP-OF-LOGIC.FUNCTION-EQUAL))
 (2840 710
       (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2568 2568
       (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2520 60
       (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (2394 810
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (2213 2213 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (2166 361
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (2166 361
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (2097 60
       (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (2040 60
       (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (1980 60
       (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-CDR-WHEN-SUBMAP-OF-EACHP))
 (1920 60
       (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (1797 60
       (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (1781 1781
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1722 1722
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1642
      1642
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (1642
     1642
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (1642
     1642
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (1566 18
       (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (1560 60
       (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (1532 1532
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1532
      1532
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (1532
     1532
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1532 1532
       (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (1520 1520
       (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (1520 1520
       (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (1516 1516
       (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (1516
     1516
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (1516 1516
       (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (1440 60
       (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (1434
      1434
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (1434
     1434
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (1434 1434
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (1430 1430
       (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (1430 1430
       (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (1430 1430
       (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (1272 1272
       (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (1272 1272
       (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (1262
      302
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (1140
  1140
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (1134 18 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (1096 220
       (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (1094 374
       (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (906 302
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (890 178
      (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (864 32
      (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (788 194
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (724 724
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (722 722 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (722 722
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (722 722
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (722 722
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (722 722
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (710 710
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (710
     710
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (704
     704
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (580 580
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (559 559
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (559 559
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (559 559
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (557 557
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (557 557
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (557 557
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (534 178
      (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (384
  192
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (384 96
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (361 361
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (360 60
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (328 328
      (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (302
    302
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (302 302
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (302
     302
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (302 302
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (302 302
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (302 302
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (302 302
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (288 288
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (288 288
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (276
     276
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (276
    276
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (240
  6
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (220
  220
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (220
     220
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (196 196
      (:REWRITE MILAWA::EQUAL-OF-LEN-AND-ZERO))
 (194
    194
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (194 194
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (192
  192
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (180
  180
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (180 180
      (:REWRITE
           MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (180
  180
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (180 180
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (178 178
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (178
  178
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (178
  178
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (178
  178
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (178 178
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (164 164
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (164 164
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (120 120
      (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-SUBSETP-WHEN-SUBMAP-OF-EACHP-ALT))
 (120 120
      (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-SUBSETP-WHEN-SUBMAP-OF-EACHP))
 (120 60
      (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (110 110
      (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (92 8
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.VARIABLE-LISTP-CHEAP))
 (90 90
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (84 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (80 8
     (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOGIC.CONSTANT-LISTP-CHEAP))
 (74 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (68 12
     (:REWRITE MILAWA::LOGIC.VARIABLE-LISTP-OF-CONS))
 (60 60
     (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (60 60 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (60 60 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (60 60
     (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (60 60
     (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (60 60
     (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (60 60
     (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (60 60
     (:REWRITE MILAWA::RW.TRACEP-WHEN-MEMBERP-OF-RW.TRACE-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::RW.TRACEP-WHEN-MEMBERP-OF-RW.TRACE-LISTP))
 (60 60
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (60 60
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (60 60
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (60 60
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (60 60
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (60 60
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (60 60
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (60 60
     (:REWRITE MILAWA::FORCING-UNIQUEP-OF-DOMAIN-OF-CDR-OF-LOGIC.PATMATCH))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (60 39
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-IFFPS))
 (60 39
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-HYPBOXES))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (42 42
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (36 18
     (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (32
  32
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (32
  32
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (30 6
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (26 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (16 4
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (12
  12
  (:REWRITE
      MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP-ALT))
 (12 12
     (:REWRITE
          MILAWA::LOGIC.VARIABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.VARIABLE-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-SUBSET-OF-SOMEP))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP-ALT))
 (8
   8
   (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-MEMBERP-OF-LOGIC.TERM-LIST-LISTP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-WHEN-LOOKUP-IN-LOGIC.CALLMAPP))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.TERM-LISTP-OF-SUBSETP-WHEN-LOGIC.TERM-LISTP))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-MALFORMED-CHEAP))
 (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))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP)))
(MILAWA::FORCING-LOGIC.PROOFP-OF-RW.COMPILE-CREWRITE-RULE-TRACE
 (15494 124
        (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (14265 330
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (13116 4185
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (12795 456
        (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (11445 330
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (11002 521
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (10373 313
        (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (10116 450
        (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (9975 456
       (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (9708 447
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (9142 287
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (8914 21
       (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (8718 4185
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (8574 231
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (8530 3028
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (8523 4185
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (8075 4855
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7572 228
       (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (7000 2425
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (6156 228
       (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (5050 313
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (4909 4909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (4909 4909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (4909 4909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (4909 4909
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (4855 4855
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (4855 4855
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4837 291
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (4752 176
       (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (4370 258
       (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (4206 4206
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (4185 4185
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (4185 4185
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (4185 4185
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (4185 4185
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (4185 4185
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (4185 4185
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (4185 4185
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (4185 4185
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (4185 4185
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (4060 140
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (3982 48
       (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (3892 28
       (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-WHEN-NOT-CONSP))
 (3501 173
       (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (3308 3308
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (3308 3308
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (3157 79
       (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (3138 90
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (3086 286
       (:REWRITE MILAWA::FORCING-LOGIC.VRHSES-OF-LOGIC.POR-LIST-FREE))
 (2976 176
       (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (2936 98
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (2916 21
       (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (2706 42
       (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (2296 112
       (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (2136 42
       (:REWRITE MILAWA::UNIQUEP-WHEN-MUTUALLY-DISJOINTP-AND-CONS-LISTP))
 (2094 42
       (:REWRITE MILAWA::MUTUALLY-DISJOINTP-WHEN-NOT-CONSP))
 (2055 21
       (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (1820 140
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (1820 140
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (1684 234
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (1611 882
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1596 84
       (:REWRITE MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-NOT-CONSP))
 (1573 313
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (1531 1531
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1531 1531
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1530 21
       (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (1521 1521
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1470 63 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (1422 21
       (:REWRITE MILAWA::SUBMAPP-OF-CAR-WHEN-SUBMAP-OF-EACHP))
 (1296 42
       (:REWRITE MILAWA::SUBMAP-OF-EACHP-WHEN-NOT-CONSP))
 (1191 63
       (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (1124 234
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1068 39
       (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (1040 28
       (:REWRITE MILAWA::RW.RULE-ENV-OKP-OF-CAR-WHEN-RW.RULE-LIST-ENV-OKP))
 (1040 28
       (:REWRITE MILAWA::RW.RULE-ATBLP-OF-CAR-WHEN-RW.RULE-LIST-ATBLP))
 (1039 1039
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1039 1039
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1039 1039
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1036
     28
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-CAR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (1034 42
       (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (980
  28
  (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SECOND-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (938 194
      (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (900 28
      (:REWRITE MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (900 28
      (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-WHEN-NOT-CONSP))
 (883 883
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (883 883
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (882 21
      (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (861 861
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (861 861
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (840 140
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (792 21
      (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (782 158
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (774 21
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (753 21
      (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-CDR-WHEN-SUBMAP-OF-EACHP))
 (732 21
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (714 8
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (708 313
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (700 28 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (687 21
      (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (589 589
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (589 589
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (589 589
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (550 313
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (550 313
      (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (546 21
      (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (535 298
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (504 21
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (504 18
      (:REWRITE MILAWA::LOGIC.BASE-EVALUABLEP-OF-LOGIC.FUNCTION-EQUAL))
 (504 8 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (481 481
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (478 158
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (474 79
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (456 456
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (456 456
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (456 456
      (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (456 456
      (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (454 46
      (:REWRITE MILAWA::FORCING-LOGIC.VLHSES-OF-LOGIC.POR-LIST-FREE))
 (402
   10
   (:REWRITE MILAWA::FORCING-LOGIC.ALL-DISJUNCTIONSP-OF-LOGIC.POR-LIST-FREE))
 (395 79
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (356 356
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (356 356
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (354 354
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (352 176
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (336 56
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (335 335 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (326
  326
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (320 8
      (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (316 79
      (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (300 300 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (300 300
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (300 300
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (298 298
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (298 298
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (291 291
      (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (287 287
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (287 287
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (287 287
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (287 287
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (287 287
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (247 93
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (246 118
      (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (246 48
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (240
  6
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (233 93
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (231 231
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (228 228
      (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (228 228
      (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (227 227
      (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (210 42
      (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (194 194
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (194 194
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (194
     194
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (194 194
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (194 194
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (194
     194
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (194
     194
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (188 188
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (183 183
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (183 183
      (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (180 36
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (176 176
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (168
     28
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-CDR-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (164 164
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (164
     164
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (164 164
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (162 6
      (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (158 158
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (158
     158
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (140
  140
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (140 140
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (140 140
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (140 140
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (140 140
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (140 140
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (140 140
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (140
   140
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (140
  140
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (140 140
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (140 140
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (140 140
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (140
  140
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (140 140
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (140 140
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (140 140
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (140 140
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (140 140
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (140 140
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (140 140
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (140
  140
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (140 140
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (140
  140
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (140
  140
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (140
  140
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (133 133
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (133 133
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (133 133
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (126 42
      (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (126 21
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (124
     124
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (93
    93
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (93 93
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (93 93
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (93 93
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (93 93
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (93 93
     (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (93 93
     (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (90 36
     (:REWRITE MILAWA::TRUE-LISTP-OF-CONS))
 (84
  84
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP-ALT))
 (84
  84
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LIST-ATBLP))
 (84
  84
  (:REWRITE
   MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (84
  84
  (:REWRITE
      MILAWA::LOGIC.SIGMA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LIST-ATBLP))
 (84 28 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (79 79
     (:REWRITE
          MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (79 79
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (78 78
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (78 78
     (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (74 74
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (74
    74
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (63
  63
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (63 63
     (:REWRITE
          MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (63
  63
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (56
  28
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (54 54
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (50 50
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (50 50
     (:REWRITE MILAWA::EQUAL-OF-LEN-AND-ZERO))
 (48
    48
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (42 42
     (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-SUBSETP-WHEN-SUBMAP-OF-EACHP-ALT))
 (42 42
     (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-SUBSETP-WHEN-SUBMAP-OF-EACHP))
 (42
  42
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (42
  42
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (42
  42
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (42 42
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (42 21
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (39 39
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (39 39
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (36
  36
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (36 36
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (36 36
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (36 36
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (36
  36
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (36 36
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (36 36
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (32 11
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-IFFPS))
 (32 11
     (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-HYPBOXES))
 (32 8
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (30 6
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (28
   28
   (:REWRITE MILAWA::RW.TRACE-ATBLP-WHEN-MEMBERP-OF-RW.TRACE-LIST-ATBLP-ALT))
 (28 28
     (:REWRITE MILAWA::RW.TRACE-ATBLP-WHEN-MEMBERP-OF-RW.TRACE-LIST-ATBLP))
 (28
  28
  (:REWRITE
   MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP-ALT))
 (28
  28
  (:REWRITE
     MILAWA::RW.RULE-LIST-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ENV-OKP))
 (28
  28
  (:REWRITE
      MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP-ALT))
 (28 28
     (:REWRITE
          MILAWA::RW.RULE-LIST-ENV-OKP-OF-SUBSETP-WHEN-RW.RULE-LIST-ENV-OKP))
 (28
  28
  (:REWRITE
     MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP-ALT))
 (28
    28
    (:REWRITE
         MILAWA::RW.RULE-LIST-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-LIST-ATBLP))
 (28 28
     (:REWRITE
          MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP-ALT))
 (28
    28
    (:REWRITE MILAWA::RW.RULE-LIST-ATBLP-OF-SUBSETP-WHEN-RW.RULE-LIST-ATBLP))
 (28 28
     (:REWRITE
          MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP-ALT))
 (28 28
     (:REWRITE MILAWA::RW.RULE-ENV-OKP-WHEN-MEMBERP-OF-RW.RULE-LIST-ENV-OKP))
 (28 28
     (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP-ALT))
 (28 28
     (:REWRITE MILAWA::RW.RULE-ATBLP-WHEN-MEMBERP-OF-RW.RULE-LIST-ATBLP))
 (28
  28
  (:REWRITE
       MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP-ALT))
 (28 28
     (:REWRITE
          MILAWA::LOGIC.SIGMA-ATBLP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-ATBLP))
 (28
   28
   (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP-ALT))
 (28 28
     (:REWRITE MILAWA::LOGIC.SIGMA-ATBLP-OF-SUBSET-WHEN-LOGIC.SIGMA-ATBLP))
 (28
  28
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (24 6
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (21 21
     (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (21 21 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (21 21 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (21 21
     (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (21 21
     (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (21 21
     (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (21 21
     (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (21 21
     (:REWRITE MILAWA::RW.TRACEP-WHEN-MEMBERP-OF-RW.TRACE-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::RW.TRACEP-WHEN-MEMBERP-OF-RW.TRACE-LISTP))
 (21 21
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (21 21
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (21 21
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (21 21
     (:REWRITE MILAWA::FORCING-UNIQUEP-OF-DOMAIN-OF-CDR-OF-LOGIC.PATMATCH))
 (16 8
     (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (16
  4
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-ALL-IFFP))
 (14 14
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (12
  4
  (:REWRITE
   MILAWA::LOGIC.STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (12 4
     (:REWRITE MILAWA::LOGIC.=RHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (8
  4
  (:REWRITE
   MILAWA::STRIP-SECONDS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES))
 (8
  4
  (:REWRITE
   MILAWA::STRIP-FIRSTS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-LHSES))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (6
  6
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-FUNCTIONSP-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (4
  4
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS)))
(MILAWA::RW.COMPILE-CREWRITE-RULE-TRACE
 (71568 2016
        (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (69782 1811
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (66712 1675
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (65848 1821
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (65520 1008
        (:REWRITE MILAWA::DEFINITION-LISTP-OF-REPEAT))
 (65468 520
        (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-EMPTY-SIGMA))
 (63157 419
        (:REWRITE MILAWA::FORCING-LOGIC.SUBSTITUTE-LIST-OF-EMPTY-SIGMA))
 (62064 19137
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (61428 2068
        (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (59392 2258
        (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (56578 1675
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (55956 136
        (:REWRITE MILAWA::SUBMAPP-WHEN-UNIQUE-DOMAINS-AND-SUBSETP))
 (52328 2479
        (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (49258 2258
        (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (45226 15070
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (41673 19137
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (39858 12392
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (35607 1129
        (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (30483 1129
        (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (27574 1241
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (25648 520
        (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-MALFORMED-CHEAP))
 (23962 275
        (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (20193 20193
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (20193 20193
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (20193 20193
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (20193 20193
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (19273 19273
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (19137 19137
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (19137 19137
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (19137 19137
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (19137 19137
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (19137 19137
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (19137 19137
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (19137 19137
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (19137 19137
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (19125 19125
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (19125 19125
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (18496 136
        (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (16280 440
        (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-NOT-CONSP))
 (15502 15502
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (15502 15502
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (15502 15502
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (15070 15070
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (15070 15070
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (13056 272
        (:REWRITE MILAWA::UNIQUEP-WHEN-MUTUALLY-DISJOINTP-AND-CONS-LISTP))
 (12920 136
        (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (12784 272
        (:REWRITE MILAWA::MUTUALLY-DISJOINTP-WHEN-NOT-CONSP))
 (10516 478
        (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (9695 5349
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (9520 408 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (9520 136
       (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (9349 9349
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (9349 9349
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (9349 9349
       (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (8432 136
       (:REWRITE MILAWA::SUBMAPP-OF-CAR-WHEN-SUBMAP-OF-EACHP))
 (8233 8233
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (8233 8233
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (8121 8121
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (8012 846
       (:REWRITE MILAWA::LOGIC.=LHSES-WHEN-NOT-CONSP))
 (7616 272
       (:REWRITE MILAWA::SUBMAP-OF-EACHP-WHEN-NOT-CONSP))
 (7164 420
       (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-WHEN-NOT-CONSP))
 (6926 498
       (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-ARGS-WHEN-NOT-CONSP))
 (6308 2068
       (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (5800 520
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.VARIABLEP))
 (5712 136
       (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (5658 494
       (:REWRITE MILAWA::CONSP-OF-LOGIC.=LHSES))
 (5637 183
       (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (5213 5213
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (5213 5213
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (5040 1008
       (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (5034 144
       (:REWRITE MILAWA::RW.RULEP-OF-CAR-WHEN-RW.RULE-LISTP))
 (4772 140
       (:REWRITE MILAWA::LOGIC.SIGMAP-OF-CAR-WHEN-LOGIC.SIGMA-LISTP))
 (4524 52
       (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-ONE))
 (4506 751
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (4506 751
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (4492 140
       (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SECOND-WHEN-LOGIC.SIGMA-LISTP))
 (4488 136
       (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-CDR-WHEN-SUBMAP-OF-EACHP))
 (4418 882
       (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMAP))
 (4314 144
       (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-NOT-CONSP))
 (3731 3731
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (3731 3731
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (3536 136
       (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (3486 1234
       (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-DEFINITIONP))
 (3276 52 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (3264 136
       (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (3024 1008
       (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (2720 520
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2688 440
       (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.FUNCTIONP))
 (2547 2547
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (2547 2547
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (2547 2547
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2371 935
       (:REWRITE MILAWA::FORCING-LOGIC.FUNCTIONP-WHEN-LOGIC.BASE-EVALUABLEP))
 (2274 2274
       (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP-ALT))
 (2274 2274
       (:REWRITE MILAWA::DEFINITIONP-WHEN-MEMBERP-OF-DEFINITION-LISTP))
 (2258 2258
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (2258 2258
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (2258 2258
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (2258 2258
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (2213 887
       (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (2200 440
       (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.VARIABLEP))
 (2016 1008
       (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (1884 1884
       (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS))
 (1840 520
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1840 520
       (:REWRITE MILAWA::LOGIC.SUBSTITUTE-WHEN-LOGIC.CONSTANTP))
 (1821 1821
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (1811 1811
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (1811 1811
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (1811 1811
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (1811 1811
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (1811 1811
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1769 1769 (:REWRITE MILAWA::LEN-WHEN-TUPLEP))
 (1760 1575
       (:REWRITE MILAWA::LEN-WHEN-NOT-CONSP))
 (1760 440
       (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1502 1502 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (1502 1502
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (1502 1502
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (1502 1502
       (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (1502 1502
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (1327 443
       (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP))
 (1316 47
       (:REWRITE MILAWA::LOGIC.BASE-EVALUABLEP-OF-LOGIC.FUNCTION-EQUAL))
 (1275 1275
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (1188 44
       (:REWRITE MILAWA::CONSP-OF-LOGIC.VRHSES))
 (1129 1129
       (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (1129 1129
       (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (1065 1065
       (:REWRITE MILAWA::ALL-EQUALP-OF-REPEAT-FREE))
 (1060 1060
       (:REWRITE MILAWA::EQUAL-OF-LEN-AND-ZERO))
 (1012
     935
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP))
 (1008
  1008
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (1008
  1008
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (1008
  1008
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (1008 1008
       (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (1008
    1008
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (1008 1008
       (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (976 976
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP-ALT))
 (976
     976
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.CONSTANT-LISTP))
 (976
     976
     (:REWRITE MILAWA::FORCING-LOGIC.CONSTANTP-OF-LOGIC.BASE-EVALUATOR-FREE))
 (935 935
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (935 935
      (:REWRITE
           MILAWA::LOGIC.FUNCTIONP-WHEN-MEMBERP-OF-LOGIC.ALL-FUNCTIONSP-ALT))
 (935 935
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-CLAUSE.NEGATIVE-TERMP))
 (932 932
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-OTHER-STUFF-CHEAP))
 (932
     932
     (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-NOT-ANYTHING-ELSE-MAYBE-EXPENSIVE))
 (932 932
      (:REWRITE MILAWA::LOGIC.LAMBDAP-WHEN-CONSP-OF-CAR-CHEAP))
 (887 887
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (887 887
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (887 887
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (882 882
      (:REWRITE
           MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP-ALT))
 (882
     882
     (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-MEMBERP-OF-LOGIC.VARIABLE-LISTP))
 (882 882
      (:REWRITE MILAWA::LOGIC.VARIABLEP-WHEN-LOOKUP-IN-LOGIC.SIGMA-ATBLP))
 (846 846
      (:REWRITE MILAWA::FORCING-LOGIC.=LHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (840 140
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-CDR-WHEN-LOGIC.SIGMA-LISTP))
 (828 24
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-ARGS))
 (751 751
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (470 94
      (:REWRITE MILAWA::LOGIC.CONSTANT-LISTP-OF-CONS))
 (443 443
      (:REWRITE MILAWA::ALL-EQUALP-OF-SUBSETP-WHEN-ALL-EQUALP-ALT))
 (440 440
      (:REWRITE
           MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP-ALT))
 (440
     440
     (:REWRITE MILAWA::LOGIC.CONSTANTP-WHEN-MEMBERP-OF-LOGIC.NONE-CONSTANTP))
 (420
  420
  (:REWRITE
       MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP-ALT))
 (420 420
      (:REWRITE
           MILAWA::LOGIC.SIGMA-LISTP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LIST-LISTP))
 (420
  420
  (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP-ALT))
 (420 420
      (:REWRITE MILAWA::LOGIC.SIGMA-LISTP-OF-SUBSETP-WHEN-LOGIC.SIGMA-LISTP))
 (419
     419
     (:REWRITE
          MILAWA::FORCING-LOGIC.SUBSTITUTE-OF-LOGIC.PATMATCH-LIST-EXPANSION))
 (418
  418
  (:REWRITE
   MILAWA::FORCING-LOGIC.FUNCTION-OF-LOGIC.FUNCTION-NAME-AND-LOGIC.FUNCTION-ARGS-FREE))
 (405 135
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-DEFINITIONP))
 (386 10
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (378 14
      (:REWRITE MILAWA::LOGIC.VRHSES-WHEN-NOT-CONSP))
 (378 10
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (332 332
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (316 8
      (:REWRITE MILAWA::CONSP-OF-STRIP-SECONDS))
 (300 10
      (:REWRITE MILAWA::CONSP-OF-LOGIC.=RHSES))
 (272 272
      (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-SUBSETP-WHEN-SUBMAP-OF-EACHP-ALT))
 (272 272
      (:REWRITE MILAWA::SUBMAP-OF-EACHP-OF-SUBSETP-WHEN-SUBMAP-OF-EACHP))
 (272 136
      (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (241 241
      (:REWRITE MILAWA::FORCING-LOGIC.VRHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (235 94
      (:REWRITE MILAWA::TRUE-LISTP-OF-CONS))
 (233 233
      (:REWRITE MILAWA::LOGIC.=LHS-OF-LOGIC.PEQUAL-FREE))
 (226 8
      (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-WHEN-NOT-CONSP))
 (209 135
      (:REWRITE
           MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (208 52
      (:REWRITE MILAWA::LOGIC.FUNCTIONP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (187 135
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP-ALT))
 (183 183
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (183 183
      (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (158 4
      (:REWRITE MILAWA::STRIP-SECONDS-WHEN-NOT-CONSP))
 (158 4
      (:REWRITE MILAWA::STRIP-LENS-WHEN-NOT-CONSP))
 (158 4
      (:REWRITE MILAWA::STRIP-FIRSTS-WHEN-NOT-CONSP))
 (158 4
      (:REWRITE MILAWA::CONSP-OF-STRIP-LENS))
 (144 144
      (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP-ALT))
 (144 144
      (:REWRITE MILAWA::RW.RULEP-WHEN-MEMBERP-OF-RW.RULE-LISTP))
 (144
     144
     (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP-ALT))
 (144 144
      (:REWRITE MILAWA::RW.RULE-LISTP-WHEN-MEMBERP-OF-RW.RULE-LIST-LISTP))
 (144 144
      (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP-ALT))
 (144 144
      (:REWRITE MILAWA::RW.RULE-LISTP-OF-SUBSETP-WHEN-RW.RULE-LISTP))
 (141 141
      (:REWRITE MILAWA::RW.TRACEP-WHEN-MEMBERP-OF-RW.TRACE-LISTP-ALT))
 (141 141
      (:REWRITE MILAWA::RW.TRACEP-WHEN-MEMBERP-OF-RW.TRACE-LISTP))
 (141
     141
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (140 140
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (140 140
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (140 140
      (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (138 4
      (:REWRITE MILAWA::LOGIC.STRIP-FUNCTION-NAMES-WHEN-NOT-CONSP))
 (138 4
      (:REWRITE MILAWA::LOGIC.ALL-FUNCTIONSP-WHEN-NOT-CONSP))
 (138 4
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-FUNCTION-NAMES))
 (136 136
      (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (136 136 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (136 136
      (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (136 136
      (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP-ALT))
 (136 136
      (:REWRITE MILAWA::SUBMAPP-WHEN-MEMBERP-OF-SUBMAP-OF-EACHP))
 (136 136
      (:REWRITE MILAWA::SUBMAPP-TRANSITIVE-ALT))
 (136 136
      (:REWRITE MILAWA::SUBMAPP-TRANSITIVE))
 (136 136
      (:REWRITE MILAWA::FORCING-UNIQUEP-OF-DOMAIN-OF-CDR-OF-LOGIC.PATMATCH))
 (136 136
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (136 136
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (136 136
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (135
    135
    (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP-ALT))
 (135 135
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-NEGATIONSP))
 (135
     135
     (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-DISJUNCTIONSP))
 (135 135
      (:REWRITE MILAWA::LOGIC.FMTYPE-WHEN-MEMBERP-OF-LOGIC.ALL-ATOMICP))
 (135 135
      (:REWRITE MILAWA::LOGIC.FMTYPE-OF-LOGIC.PEQUAL-FREE))
 (135 135
      (:REWRITE MILAWA::FORCING-LOGIC.FMTYPE-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (131 89
      (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-IFFPS))
 (131 89
      (:REWRITE MILAWA::CONSP-OF-RW.TRACE-LIST-HYPBOXES))
 (120
  3
  (:REWRITE
     MILAWA::LOGIC.BASE-EVALUABLEP-WHEN-PRELIMINARY-FN-APPLIED-TO-CONSTANTS))
 (118 4
      (:REWRITE MILAWA::LOGIC.=RHSES-WHEN-NOT-CONSP))
 (104 52
      (:REWRITE MILAWA::LOGIC.POR-LIST-WHEN-NOT-CONSP-TWO))
 (94
  94
  (:REWRITE
      MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP-ALT))
 (94 94
     (:REWRITE
          MILAWA::LOGIC.CONSTANT-LISTP-OF-SUBSETP-WHEN-LOGIC.CONSTANT-LISTP))
 (87 87
     (:REWRITE MILAWA::RW.TRACE-LIST-CONCLUSION-FORMULAS-WHEN-NOT-CONSP))
 (84 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.TERMP))
 (74 2
     (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-NOT-CONSP))
 (55 55
     (:REWRITE MILAWA::LOGIC.=RHS-OF-LOGIC.PEQUAL-FREE))
 (54 2
     (:REWRITE MILAWA::LOGIC.VLHSES-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::LOGIC.ALL-DISJUNCTIONSP-WHEN-NOT-CONSP))
 (54 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.VLHSES))
 (44 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-NOT-CONSP-CHEAP))
 (40 10
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (34 1
     (:REWRITE MILAWA::RW.TRACE-LIST-FORMULAS-WHEN-NOT-CONSP))
 (32
  16
  (:REWRITE
   MILAWA::FORCING-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.FIND-PROOF))
 (26 2
     (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.VARIABLEP))
 (24 24
     (:REWRITE MILAWA::FORCING-LOGIC.VLHS-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (20 5
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (20 2
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.VRHS-IN-LOGIC.VRHSES-WHEN-MEMBERP))
 (18 18
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (16
  16
  (:REWRITE
   MILAWA::FORCING-LOGIC.FIND-PROOF-UNDER-IFF-WHEN-MEMBERP-OF-LOGIC.STRIP-CONCLUSIONS))
 (15 5
     (:REWRITE MILAWA::LOGIC.FUNCTIONP-OF-LOGIC.=LHS-WHEN-DEFINITIONP))
 (15 3
     (:REWRITE MILAWA::MEMBERP-OF-DOMAIN-UNDER-IFF))
 (14 1
     (:REWRITE MILAWA::MEMBERP-OF-LOGIC.=LHS-IN-LOGIC.=LHSES-WHEN-MEMBERP))
 (12
  3
  (:REWRITE
   MILAWA::MEMBERP-OF-LOGIC.CONCLUSION-IN-LOGIC.STRIP-CONCLUSIONS-WHEN-MEMBERP))
 (10 10
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (10 10
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (8
  8
  (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP-ALT))
 (8 8
    (:REWRITE MILAWA::LOGIC.ALL-ATOMICP-OF-SUBSETP-WHEN-LOGIC.ALL-ATOMICP))
 (8 8
    (:REWRITE MILAWA::FORCING-LOGIC.ALL-ATOMICP-OF-LOGIC.PEQUAL-LIST-FREE))
 (8 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-LOGIC.CONSTANTP))
 (5 5
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (5 5
    (:REWRITE MILAWA::LEN-2-WHEN-NOT-CDR-OF-CDR))
 (5 5
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.FUNCTION-ARGS))
 (5 5
    (:REWRITE MILAWA::EQUAL-OF-CONS-REWRITE))
 (4 4
    (:REWRITE MILAWA::STRIP-LENS-WHEN-TUPLE-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::STRIP-LENS-OF-LOGIC.STRIP-FUNCTION-ARGS-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.STRIP-FUNCTION-NAMES-OF-LOGIC.=LHSES-OF-RW.TRACE-LIST-CONCLUSION-FORMULAS-FREE))
 (4
  4
  (:REWRITE
      MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.ALL-FUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-FUNCTIONSP))
 (4 4
    (:REWRITE MILAWA::FORCING-LOGIC.=RHSES-OF-LOGIC.PEQUAL-LIST-FREE))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.TERMP-WHEN-MEMBERP-OF-LOGIC.TERM-LISTP))
 (2
   2
   (:REWRITE MILAWA::LOGIC.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.FORMULAP-WHEN-MALFORMED-CHEAP))
 (2 2
    (:REWRITE MILAWA::LOGIC.FORMULAP-WHEN-LOGIC.PROVABLEP))
 (2
  2
  (:REWRITE
   MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LOGIC.ALL-DISJUNCTIONSP-OF-SUBSETP-WHEN-LOGIC.ALL-DISJUNCTIONSP))
 (2 2
    (:REWRITE MILAWA::LEMMA-4-FOR-RW.COMPILE-CREWRITE-RULE-TRACE))
 (2 2
    (:REWRITE MILAWA::LEMMA-3-FOR-RW.COMPILE-CREWRITE-RULE-TRACE))
 (2 2
    (:REWRITE MILAWA::LEMMA-2-FOR-RW.COMPILE-CREWRITE-RULE-TRACE))
 (2 2
    (:REWRITE MILAWA::LEMMA-1-FOR-RW.COMPILE-CREWRITE-RULE-TRACE)))
