(MILAWA::LEVEL9.STEP-OKP)
(MILAWA::SOUNDNESS-OF-LEVEL9.STEP-OKP
 (3634 498
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3430 98
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (3106 106
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2794
  6
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (1803 327
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1274 98
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (1274 98
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (1040 4
       (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (960 30
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (700 498
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (660 13
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (646 17
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (588 98
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (526 498
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (376 16
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (374
  4
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (368 2
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.ARITY-TABLEP))
 (350 12
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (329 329
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (329 329
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (329 329
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (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-MEMBERP-OF-CONS-LISTP-ALT))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (327 327
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (319 319
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (319 319
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (302
     2
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (297 297
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (297 297
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (281 115
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (267 5
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP-AUX))
 (230 12
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (210 65
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (162 4
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (162 4
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (130
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (106 106
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (98
  98
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (98 98
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (98 98
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (98 98
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (98 98
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (98 98
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (98 98
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (98
   98
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (98
  98
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (98 98
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (98 98
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (98 98
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (98
  98
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (98 98
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (98 98
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (98 98
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (98 98
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (98 98
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (98 98
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (98 98
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (98
  98
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (98 98
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (98
  98
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (98
  98
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (98
  98
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (98 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (98 2
     (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (96 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL7.PROOF-LISTP-AUX))
 (96 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL3.PROOF-LISTP-AUX))
 (92 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (92 2
     (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (92 2
     (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (92 2
     (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (92 2
     (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (90 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL2.PROOF-LISTP))
 (86
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (84 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL8.PROOF-LISTP-AUX))
 (84 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL6.PROOF-LISTP-AUX))
 (84 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL5.PROOF-LISTP-AUX))
 (84 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL4.PROOF-LISTP-AUX))
 (78 6
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (76
    4
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (73 5
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP))
 (72 4
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL3.STEP-OKP))
 (72 4
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL2.STEP-OKP))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP-AUX))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP-AUX))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP-AUX))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP-AUX))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP-AUX))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP))
 (72 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL2.PROOFP))
 (72 2
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (70 10
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (68 2
     (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (68 2
     (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (68 2
     (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (68 2
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (66 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (64 4
     (:REWRITE MILAWA::LEVEL2.PROOF-LISTP-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::MAPP-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::LEVEL8.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::LEVEL7.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::LEVEL6.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::LEVEL5.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::LEVEL4.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::LEVEL3.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (62 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (62 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (58 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (52 12
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (50 50
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (50 2 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (48 8
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (46
  46
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (46
    46
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (46 46
     (:REWRITE MILAWA::FORCING-LOGIC.APPEAL-LISTP-OF-LOGIC.SUBPROOFS))
 (46 5
     (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-LEVEL6.STEP-OKP))
 (46 1
     (:REWRITE MILAWA::LEVEL8.STEP-OKP-WHEN-NOT-CONSP))
 (45 9
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
 (40 9
     (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-LEVEL4.STEP-OKP))
 (40 4
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL7.STEP-OKP))
 (38 6
     (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (36 12
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (35 9
     (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-LEVEL3.STEP-OKP))
 (34 20
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (32 32
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (30
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (29 29
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (29 29
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (29 29
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (29 29
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (29 29
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (29 29
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (29 29
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (29 29
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (29 29 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (26
   10
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (26 5
     (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-LEVEL2.STEP-OKP))
 (24 10
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (21 5
     (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-LOGIC.APPEAL-STEP-OKP))
 (20 20
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (20 20
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (20 20
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (20 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (18 18
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (17 17
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (16 16
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-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 12
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (14 14 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (14 14 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (14 14
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (13 13
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (13 13
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (13 13
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (13 13
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (13 13
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (13 13
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (12 12
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (12 12
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (12 12
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (12
    4
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (11 1
     (:REWRITE MILAWA::LEVEL8.STEP-OKP-WHEN-LEVEL7.STEP-OKP))
 (10
  10
  (:REWRITE
       MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP-ALT))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP))
 (10
  10
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (10 10
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (8 8
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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 4
    (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL6.STEP-OKP))
 (8 4
    (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL5.STEP-OKP))
 (8 4
    (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL4.STEP-OKP))
 (6 6
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (6 6 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (6
  6
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-REMOVE-DUPLICATES-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (6 2 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
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    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
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    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
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    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  4
  (:REWRITE
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 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP))
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    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
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    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
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    (:REWRITE
         MILAWA::LEVEL2.PROOF-LISTP-OF-SUBSETP-WHEN-LEVEL2.PROOF-LISTP-ALT))
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    (:REWRITE MILAWA::LEVEL2.PROOF-LISTP-OF-SUBSETP-WHEN-LEVEL2.PROOF-LISTP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
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   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
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  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
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  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-OF-IF-X-Y-Y-BLDR-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-BLDR-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
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   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
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  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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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-OF-IF-X-Y-Y-BLDR-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
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  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
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  4
  (:REWRITE
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  4
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
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  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP))
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  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
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  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-TWIDDLE2-LEMMA-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-TRACE-OKP))
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   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2B-OKP))
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   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2A-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1B-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1A-OKP))
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   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0B-OKP))
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   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0A-OKP))
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  4
  (:REWRITE
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  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LIST-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-4-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-3-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-2-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-2-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-1-BLDR-OKP))
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   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-BLDR-OKP))
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  4
  (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SPLIT-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-SPLIT-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-LIMSPLIT-BLDR-OKP))
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  4
  (:REWRITE
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
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    (:REWRITE
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-2-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-1-OKP))
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  (:REWRITE
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  4
  (:REWRITE
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   (:REWRITE
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  (:REWRITE
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  4
  (:REWRITE
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.CASES-LEMMA1-BLDR-OKP))
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  (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
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   (:REWRITE
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
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   (:REWRITE
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
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  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
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  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
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  4
  (:REWRITE
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  4
  (:REWRITE
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    (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
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    (:REWRITE
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP))
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    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
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  4
  (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
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  4
  (:REWRITE
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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.SECOND-CONJUNCT-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.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
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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
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   (:REWRITE
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  4
  (:REWRITE
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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-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-COMMUTE-OR-THEN-RASSOC-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))
 (4 4
    (: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))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
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    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.FIRST-CONJUNCT-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))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (4 4
    (: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))
 (4
  4
  (:REWRITE
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 (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-SECOND-CONJUNCT-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-REVAPPEND-DISJUNCTION-LEMMA1-BLDR-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-FIRST-CONJUNCT-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-CONJOIN-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.CONJOIN-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-LEMMA-2-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-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::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (2 2
    (:REWRITE
         MILAWA::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP))
 (2
  2
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ENV-OKP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ENV-OKP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ENV-OKP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ENV-OKP))
 (2
  2
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ATBLP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ATBLP-ALT))
 (2
  2
  (:REWRITE
    MILAWA::TACTIC.WORLD-LIST-ATBLP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ATBLP))
 (2
   2
   (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP))
 (2 2
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP))
 (2
   2
   (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP))
 (2 2
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP-ALT))
 (2 2
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP))
 (2 2
    (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP))
 (2 2
    (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMA-ATBLP))
 (2 2
    (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAP-ATBLP))
 (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.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP-ALT))
 (2 2
    (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP))
 (2 2
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (2
  2
  (:REWRITE
   MILAWA::LEVEL8.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL8.PROOF-LISTP-AUX-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LEVEL8.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL8.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
   MILAWA::LEVEL7.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL7.PROOF-LISTP-AUX-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LEVEL7.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL7.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
   MILAWA::LEVEL6.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL6.PROOF-LISTP-AUX-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LEVEL6.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL6.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
   MILAWA::LEVEL5.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL5.PROOF-LISTP-AUX-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LEVEL5.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL5.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
   MILAWA::LEVEL4.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL4.PROOF-LISTP-AUX-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LEVEL4.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL4.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
   MILAWA::LEVEL3.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL3.PROOF-LISTP-AUX-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LEVEL3.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL3.PROOF-LISTP-AUX))
 (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::LEVEL8.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL8.PROOF-LISTP-AUX-ALT))
 (1 1
    (:REWRITE
         MILAWA::LEVEL8.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL8.PROOF-LISTP-AUX)))
(MILAWA::LEVEL9.STEP-OKP-WHEN-LEVEL8.STEP-OKP
 (376320 5880
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (364560 5880
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (36792 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (34518 5753
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (34518 5753
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (12768 11928
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (12600 11928
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (11928 11928
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (11928 11928
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (11928 11928
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (11506 11506
        (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (11506 11506
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (11506 11506
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (11506 11506
        (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (11506 11506
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (7406 161
       (:REWRITE MILAWA::LEVEL8.STEP-OKP-WHEN-NOT-CONSP))
 (5880 5880
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (5880 5880
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (5880 5880
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (5880 5880
       (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (5880 5880
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (5880 5880
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (5880 5880
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (516 516
      (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (516 516
      (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (336 336
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (336 336
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (336 336
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (168 168
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (168 168
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (168 168
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (168 168
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (168 168
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (168 168
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (168 168
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (168 168
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (168 168 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (46 1
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-WHEN-NOT-CONSP))
 (46 1
     (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-NOT-CONSP))
 (46 1
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-NOT-CONSP))
 (46 1
     (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-NOT-CONSP))
 (46 1
     (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-NOT-CONSP))
 (46 1
     (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-NOT-CONSP))
 (46 1
     (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-NOT-CONSP)))
(MILAWA::LEVEL9.STEP-OKP-WHEN-NOT-CONSP
     (9 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (6 1
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (5 1
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (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::TRUE-LISTP-WHEN-TUPLEP))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
     (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
     (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (1 1
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
     (1 1
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
     (1 1
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
     (1 1
        (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
     (1 1
        (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP)))
(MILAWA::LEVEL9.FLAG-PROOFP-AUX
 (864 18
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (864 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (669 9
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (576 70
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (498
     3
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (441 18
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (378
  6
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (333 9
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (302 67
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (291 8
      (:REWRITE MILAWA::RANK-WHEN-NOT-CONSP))
 (259 70
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (207 24
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (202 4
      (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-NOT-CONSP))
 (201 6
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (186 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (147 3
      (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (129 129
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (129 129
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (128 128
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (93 3
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (86 6
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (82 8 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (76 19
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (74 74
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (74 74
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (72 1
     (:DEFINITION MILAWA::LEVEL9.FLAG-PROOFP-AUX))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (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.CALLMAPP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-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))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (68 68
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (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))
 (57 3
     (:REWRITE MILAWA::RANK-OF-LOGIC.SUBPROOFS-STRONG-VIA-CONSP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (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))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (46 46
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (45 5
     (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERM-OF-SOMEP-WEAK))
 (40 4
     (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-LEVEL8.STEP-OKP))
 (39 9
     (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERMP))
 (36 4
     (:REWRITE MILAWA::LEVEL8.STEP-OKP-WHEN-LEVEL7.STEP-OKP))
 (32 4
     (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-LEVEL6.STEP-OKP))
 (31 17
     (:REWRITE MILAWA::LOGIC.SUBTERMP-IS-WEAKLY-ANTISYMMETRIC))
 (28 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (28 4
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
 (25 4
     (:REWRITE MILAWA::RANK-WHEN-LOGIC.SUBTERMP-WEAK))
 (24 24
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (24 4
     (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-LEVEL4.STEP-OKP))
 (22 6
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (21 21
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (20 20
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (20 4
     (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-LEVEL3.STEP-OKP))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (19 19
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (19 19
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (18 6 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (18 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (17 17
     (:REWRITE MILAWA::LOGIC.SUBTERMP-IS-TRANSITIVE-TWO))
 (17 17
     (:REWRITE MILAWA::LOGIC.SUBTERMP-IS-TRANSITIVE))
 (16 4
     (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-LEVEL2.STEP-OKP))
 (15 1 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (13 4 (:REWRITE MILAWA::RANK-WHEN-MEMBERP))
 (12 8
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (12 4
     (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-LOGIC.APPEAL-STEP-OKP))
 (12 3
     (:REWRITE MILAWA::RANK-WHEN-MEMBERP-WEAK))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (11
  11
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-SUBTERM-AND-LOGIC.ALL-SUBTERM-OF-SOMEP-ALT))
 (11
  11
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-SUBTERM-AND-LOGIC.ALL-SUBTERM-OF-SOMEP))
 (11
  11
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-OF-LOGIC.ALL-SUBTERM-OF-SOMEP-ALT))
 (11
  11
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-OF-LOGIC.ALL-SUBTERM-OF-SOMEP))
 (10 10
     (:REWRITE
          MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-IS-LOGIC.SUBTERMP-ALT))
 (10
    10
    (:REWRITE MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-MEMBERP-IS-LOGIC.SUBTERMP))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-LOGIC.SUBTERMP-AND-LOGIC.SUBTERM-OF-SOMEP-ALT))
 (10
  10
  (:REWRITE
   MILAWA::LOGIC.SUBTERM-OF-SOMEP-WHEN-LOGIC.SUBTERMP-AND-LOGIC.SUBTERM-OF-SOMEP))
 (9 9
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (8 2
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (7 7
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (7 7
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (7 3
    (:REWRITE MILAWA::RANK-OF-LOGIC.SUBPROOFS))
 (6 6 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (4
  4
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (4 4 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (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))
 (3 3
    (:REWRITE
         MILAWA::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (3 3
    (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (3 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (3 1
    (:REWRITE MILAWA::LESS-WHEN-ZP-RIGHT-CHEAP))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (2 2
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (2 2
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-SUBTERM-OF-SOMEP-IS-TRANSITIVE-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ALL-SUBTERM-OF-SOMEP-IS-TRANSITIVE))
 (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)))
(MILAWA::LEVEL9.PROOFP-AUX)
(MILAWA::LEVEL9.PROOF-LISTP-AUX)
(MILAWA::DEFINITION-OF-LEVEL9.PROOFP-AUX
     (138 3
          (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-NOT-CONSP))
     (45 5
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (30 5
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (30 3
         (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-LEVEL8.STEP-OKP))
     (27 5
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (27 3
         (:REWRITE MILAWA::LEVEL8.STEP-OKP-WHEN-LEVEL7.STEP-OKP))
     (24 3
         (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-LEVEL6.STEP-OKP))
     (21 3
         (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
     (18 3
         (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-LEVEL4.STEP-OKP))
     (15 3
         (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-LEVEL3.STEP-OKP))
     (12 3
         (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-LEVEL2.STEP-OKP))
     (10 10
         (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
     (10 10
         (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
     (10 10
         (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
     (9 3
        (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-LOGIC.APPEAL-STEP-OKP))
     (5 5
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
     (5 5
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (5 5
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
     (5 5
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
     (5 5 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (5 5
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (5 5
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
     (5 5
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
     (5 5 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (5 5
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
     (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-RW.TYPED-RULEMAPP-ALT))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
     (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.CALLMAPP-ALT))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-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))
     (3 3
        (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
     (3 3
        (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
     (2 2
        (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
     (2 2
        (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
     (2 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
     (2 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
     (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)))
(MILAWA::DEFINITION-OF-LEVEL9.PROOF-LISTP-AUX
 (116 2
      (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-NOT-CONSP))
 (63 7
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (50 7
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (39 7
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (20 2
     (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-LEVEL8.STEP-OKP))
 (18 2
     (:REWRITE MILAWA::LEVEL8.STEP-OKP-WHEN-LEVEL7.STEP-OKP))
 (16 2
     (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-LEVEL6.STEP-OKP))
 (14 14
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (14 14
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (14 2
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
 (12 2
     (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-LEVEL4.STEP-OKP))
 (12 2
     (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (10 2
     (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-LEVEL3.STEP-OKP))
 (9 9
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (9 9
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (8 2
    (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-LEVEL2.STEP-OKP))
 (8 2
    (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (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::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (6 2
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6 2
    (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-LOGIC.APPEAL-STEP-OKP))
 (5 5
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (5 5 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (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))
 (5 5
    (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (2 2 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (2 2
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (2 2
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (2 2
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (2 2
    (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-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))
 (2 2
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-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)))
(MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP
     (9 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (6 1
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (5 1
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (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::TRUE-LISTP-WHEN-TUPLEP))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
     (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
     (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (1 1
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
     (1 1
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-NOT-CONSP
     (9 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (6 1
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (5 1
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
     (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::TRUE-LISTP-WHEN-TUPLEP))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
     (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
     (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
     (1 1
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
     (1 1
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-CONS
    (254 5
         (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
    (249 6
         (:REWRITE MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
    (96 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
    (70 12
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
    (56 12
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
    (20 20
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
    (20 20
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
    (20 20
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
    (14 14
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
    (14 14
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
    (12 2
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
    (10 10
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
    (10 10
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
    (10 10
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
    (10 10
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
    (10 10
        (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
    (10 10
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
    (10 10
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
    (10 10
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
    (10 10 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
    (8 2
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
    (6 2
       (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
    (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::TRUE-LISTP-OF-CDR))
    (2 2
       (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
    (2 2
       (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
    (2 2
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
    (2 2
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
    (2 2
       (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
    (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))
    (2 2
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
    (2 2
       (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
    (2 2
       (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
    (2 2
       (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
    (2 2
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
    (2 2
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
    (2 2 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
    (2 2
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP)))
(MILAWA::LEMMA-FOR-BOOLEANP-OF-LEVEL9.PROOFP-AUX
   (1216 19
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
   (1178 19
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
   (868 31
        (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
   (682 14
        (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-NOT-CONSP))
   (633 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (321 82
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
   (307 119
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
   (196 4
        (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
   (186 31
        (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
   (140 14
        (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-LEVEL8.STEP-OKP))
   (129 129
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
   (129 129
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
   (126 14
        (:REWRITE MILAWA::LEVEL8.STEP-OKP-WHEN-LEVEL7.STEP-OKP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
   (114 19
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
   (114 19
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
   (112 14
        (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-LEVEL6.STEP-OKP))
   (98 14
       (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
   (92 92
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
   (92 92
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
   (92 92
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
   (88 88
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
   (88 88
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
   (84 14
       (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-LEVEL4.STEP-OKP))
   (71 71
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
   (71 71
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
   (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))
   (70 14
       (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-LEVEL3.STEP-OKP))
   (56 14
       (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-LEVEL2.STEP-OKP))
   (55 10
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
   (42 14
       (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-LOGIC.APPEAL-STEP-OKP))
   (40 40
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
   (40 40
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
   (40 40
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
   (40 40
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
   (38 38 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
   (38 38
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
   (38 38
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
   (38 38 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
   (38 38
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
   (37 10
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
   (30 10
       (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (19 19
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
   (19 19
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
   (19 19
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
   (19 19
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
   (19 19
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
   (19 19
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
   (14 14
       (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
   (14 14
       (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
   (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))
   (13 13
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
   (10 10 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
   (10 10
       (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
   (10 10
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
   (10 10
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
   (10 10
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
   (10 10
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
   (10 10
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
   (10 10
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
   (9 9
      (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
   (9 9
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
   (9 9
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
   (9 9
      (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
   (9 9
      (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
   (9 9
      (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
   (9 9
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
   (9 9
      (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
   (9 9
      (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
   (9 9
      (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
   (9 9
      (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP)))
(MILAWA::BOOLEANP-OF-LEVEL9.PROOFP-AUX)
(MILAWA::BOOLEANP-OF-LEVEL9.PROOF-LISTP-AUX)
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-LIST-FIX
   (1236 39
         (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
   (1072 116
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
   (1005 139
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (723 38 (:REWRITE MILAWA::CONSP-OF-LIST-FIX))
   (500 101
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
   (374 101
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
   (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))
   (172 172
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
   (172 172
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
   (138 3
        (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
   (118 50 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
   (116 116
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
   (116 116
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
   (116 116
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
   (99 33
       (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
   (60 60
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
   (60 60
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
   (60 60
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
   (60 60
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
   (60 60 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
   (34 34
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
   (34 34
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
   (18 3
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
   (18 3
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
   (12 3
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-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::PREFIXP-WHEN-NOT-CONSP-TWO))
   (3 3
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
   (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::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
   (3 3
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
   (3 3
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-APP
   (3358 73
         (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
   (2997 363
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (2937 72 (:REWRITE MILAWA::CONSP-OF-APP))
   (1716 291
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
   (1340 291
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
   (636 636
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
   (636 636
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
   (636 636
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
   (428 428
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
   (428 428
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
   (291 291
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
   (291 291
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
   (277 247
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
   (247 247
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
   (247 247
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
   (247 247
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
   (246 246
        (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
   (246 246
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
   (246 246
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
   (246 246
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
   (246 246 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
   (195 65
        (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (138 3
        (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
   (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))
   (99 99
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
   (73 73
       (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
   (66 66
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
   (66 66
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
   (65 65 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
   (42 7
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
   (42 7
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
   (35 1
       (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
   (31 1
       (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
   (28 7
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
   (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))
   (7 7
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
   (7 7
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
   (7 7
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
   (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)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-REV
   (1998 142
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
   (1014 142
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (754 39 (:REWRITE MILAWA::REV-UNDER-IFF))
   (502 103
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
   (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))
   (175 175
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
   (175 175
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
   (138 3
        (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
   (101 1 (:REWRITE MILAWA::APP-WHEN-NOT-CONSP))
   (99 99
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
   (99 99
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
   (99 99
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
   (99 33
       (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
   (68 68
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
   (60 60
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
   (60 60
       (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
   (60 60
       (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
   (60 60
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
   (60 60
       (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
   (60 60 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
   (39 39 (:REWRITE MILAWA::TRUE-LISTP-OF-REV))
   (34 34
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
   (34 34
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
   (33 33 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
   (18 3
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
   (18 3
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
   (12 3
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-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::PREFIXP-WHEN-NOT-CONSP-TWO))
   (3 3
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
   (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::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
   (3 3
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
   (3 3
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
   (1 1
      (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
   (1 1
      (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
   (1 1
      (:REWRITE MILAWA::APP-OF-CONS-WHEN-NOT-CONSP-RIGHT)))
(MILAWA::LEVEL9.PROOFP-AUX-OF-CAR-WHEN-LEVEL9.PROOF-LISTP-AUX
    (126 18
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
    (83 18
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
    (71 18
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
    (65 5
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
    (64 1
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
    (62 1
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
    (60 5
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
    (50 5
        (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
    (35 5
        (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
    (24 24
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
    (24 24
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
    (24 24
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
    (18 18
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
    (18 18
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
    (12 12
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
    (12 12
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
    (12 12
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
    (12 12
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
    (12 12
        (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
    (12 12
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
    (12 12
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
    (12 12
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
    (12 12 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
    (6 6
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
    (6 6
       (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
    (6 6
       (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
    (6 1
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
    (6 1
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
    (5 5
       (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
    (5 5
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
    (5 5
       (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
    (5 5
       (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
    (5 5
       (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
    (5 5
       (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
    (5 5
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
    (5 5
       (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
    (2 2 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
    (2 2
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
    (2 2
       (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
    (2 2 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
    (2 2
       (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
    (1 1
       (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
    (1 1
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
    (1 1
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
    (1 1
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
    (1 1
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
    (1 1
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL9.PROOF-LISTP-AUX
    (120 18
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
    (88 18
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
    (67 18
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
    (64 1
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
    (62 1
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
    (23 23
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
    (23 23
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
    (22 22
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
    (22 22
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
    (22 22
        (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
    (15 5
        (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
    (11 11
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
    (11 11
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
    (11 11
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
    (11 11
        (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
    (11 11
        (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
    (11 11
        (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
    (11 11
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
    (11 11
        (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
    (11 11 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
    (6 6
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
    (6 1
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
    (6 1
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
    (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
    (5 5
       (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
    (5 5
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
    (5 5
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
    (5 5
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
    (5 5
       (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-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::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
    (1 1
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
    (1 1
       (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
    (1 1
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
    (1 1
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
    (1 1
       (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX
 (3028 8
       (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
 (1439 42
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (1208 147
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1163 140
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (879 147
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (866
     6
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (858 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (622 42
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (390 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (366 11
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (350 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (332 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (332 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (320 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (320 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (320 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (320 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (320 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (317 62
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (245 62
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (221 6
      (:REWRITE MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (204 6
      (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (187 13
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (187 13
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (184 3 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (174 6
      (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (174 6
      (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (174 6
      (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (174 6
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (174 6
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (174 6
      (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (174 6
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (174 6
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (161 161
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (161 161
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (147 147
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (140 140
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (138 45
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (97 13
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (94 33
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (69 3
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (45 45
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (45 45
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (45 15
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (42 42
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (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))
 (34 34
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (33 33
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (32 32
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (31 31
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (31 31
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (31 31
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (31 31
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (26 26
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (25 25
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (19 1
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-OF-CONS))
 (19 1
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-OF-CONS))
 (16 16
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (15 15 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (15 1
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-CONS))
 (14
  14
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (14 14
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (14 14
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (14 14
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (14 14
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (14 14
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (14
   14
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (14
  14
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (14 14
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (14 14
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (14 14
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (14
  14
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (14 14
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (14
  14
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (14
  14
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (14
  14
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (13 13
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (13 13
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (13 13
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (13 13
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (13 13
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (13 13
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (13 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (13 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (6
   6
   (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP-ALT))
 (6 6
    (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP))
 (6 6
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP-ALT))
 (6 6
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP))
 (6
   6
   (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP-ALT))
 (6 6
    (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP))
 (6 6
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP-ALT))
 (6 6
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP))
 (6 6
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (6 6
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (6 6
    (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP))
 (6 6
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (6 6
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-CDR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (5 5
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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::LESS-WHEN-ZP-LEFT-CHEAP))
 (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::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (3 3
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (3 3
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1 1
    (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (1 1
    (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<-TWO))
 (1 1
    (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (1 1
    (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-FOUR))
 (1 1
    (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (1 1 (:REWRITE MILAWA::CDR-OF-CONS)))
(MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX-ALT
 (46 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (40 6
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (35 1
     (:REWRITE MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (31 1 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (21 3
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (13 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (7 2
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6 6
    (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (6 2
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (3 3
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (3 3
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1
  1
  (:REWRITE MILAWA::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::NATP-WHEN-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE MILAWA::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.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::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::LEVEL9.PROOF-LISTP-AUX-OF-REMOVE-ALL-WHEN-LEVEL9.PROOF-LISTP-AUX
 (1222 29
       (:REWRITE MILAWA::REMOVE-ALL-OF-NON-MEMBERP))
 (833 23
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-WHEN-NOT-CONSP-LEFT))
 (606 90
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (386 16
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (358 90
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (353 28
      (:REWRITE MILAWA::REMOVE-ALL-WHEN-NOT-CONSP))
 (346 1
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-OF-CONS))
 (334 164
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (307 77
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (239 17
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (239 17
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (191 2 (:REWRITE MILAWA::MEMBERP-OF-CONS))
 (164 164
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (164 164
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (161 11
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (161 3
      (:REWRITE
           MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX))
 (149 3
      (:REWRITE MILAWA::MEMBERP-OF-REMOVE-ALL))
 (143 8
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (141 23
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-WHEN-MEMBERP))
 (138 3
      (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
 (129 7
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (121 17
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (95 95
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (95 95
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (90 1
     (:REWRITE MILAWA::DISJOINTP-WHEN-SUBSETP-OF-OTHER-TWO))
 (85 5
     (:REWRITE MILAWA::DISJOINT-FROM-ALLP-OF-CDR-WHEN-DISJOINT-FROM-ALLP))
 (79 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (75 1
     (:REWRITE MILAWA::DISJOINTP-WHEN-SUBSETP-OF-OTHER-ONE))
 (64 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (57 57
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (57 57
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (57 57
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (44 44
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (43 43
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (43 43
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (43 43
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (43 43 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (32 7
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (32 7
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (31 1
     (:REWRITE MILAWA::DISJOINTP-WHEN-NOT-CONSP-TWO))
 (31 1
     (:REWRITE MILAWA::DISJOINTP-WHEN-NOT-CONSP-ONE))
 (23
  23
  (:REWRITE
   MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-REMOVE-ALL-OF-MUTUALLY-DISJOINTP-TWO))
 (23
  23
  (:REWRITE
   MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-REMOVE-ALL-OF-MUTUALLY-DISJOINTP))
 (23 23
     (:REWRITE
          MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-DISJOINT-FROM-ALLP-TWO))
 (23
   23
   (:REWRITE
        MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-DISJOINT-FROM-ALLP-THREE))
 (23 23
     (:REWRITE
          MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-DISJOINT-FROM-ALLP-ONE))
 (23
    23
    (:REWRITE
         MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-DISJOINT-FROM-ALLP-FOUR))
 (23
  23
  (:REWRITE
      MILAWA::DISJOINT-FROM-ALLP-WHEN-MEMBERP-OF-ALL-DISJOINT-FROM-ALLP-TWO))
 (23
  23
  (:REWRITE
      MILAWA::DISJOINT-FROM-ALLP-WHEN-MEMBERP-OF-ALL-DISJOINT-FROM-ALLP-ONE))
 (23 23
     (:REWRITE
          MILAWA::DISJOINT-FROM-ALLP-OF-SUBSETP-WHEN-DISJOINT-FROM-ALLP-ALT))
 (23
    23
    (:REWRITE MILAWA::DISJOINT-FROM-ALLP-OF-SUBSETP-WHEN-DISJOINT-FROM-ALLP))
 (19 1
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-OF-CONS))
 (19 1
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-OF-CONS))
 (18
  18
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (18 18
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (18 18
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (18 18
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (18 18
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (18 18
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (18
   18
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (18
  18
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (18 18
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (18 18
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (18 18
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (18
  18
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (18 18
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (18
  18
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (18
  18
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (18
  18
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (18
  18
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (17 17
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (17 17
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (17 17
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (17 17
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (17 17
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (17 17
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (17 17
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (15 15
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (15 5
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (15 1
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-CONS))
 (14 4
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-OF-REMOVE-ALL))
 (11 11
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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 4
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (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::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::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (5
   5
   (:REWRITE
        MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-CDR-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (5 1
    (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (4 4
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3
  3
  (:REWRITE
       MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX-ALT))
 (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))
 (1 1
    (:REWRITE MILAWA::TRICHOTOMY-OF-LOGIC.TERM-<))
 (1 1
    (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<-TWO))
 (1 1
    (:REWRITE MILAWA::TRANSITIVITY-OF-LOGIC.TERM-<))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.TERM-<-WHEN-MEMBERP-OF-LOGIC.ALL-TERMS-LARGERP))
 (1 1
    (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-THREE))
 (1 1
    (:REWRITE MILAWA::FORCING-TRANSITIVITY-OF-LOGIC.TERM-<-FOUR))
 (1 1
    (:REWRITE MILAWA::FORCING-MINIMALITY-OF-CONSTANTS-UNDER-LOGIC.TERM-<))
 (1
  1
  (:REWRITE
   MILAWA::FORCING-LOGIC.TERM-<-OF-RW.EQTRACE->LHS-AND-RW.EQTRACE->RHS-FREE))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-SUBSETP-OF-DISJOINTP-TWO))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-SUBSETP-OF-DISJOINTP-THREE))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-SUBSETP-OF-DISJOINTP-ONE))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-SUBSETP-OF-DISJOINTP-FOUR))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-MEMBERS-OF-ALL-DISJOINT-FROM-ALLP))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-MEMBERP-OF-DISJOINT-FROM-ALLP-TWO))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-MEMBERP-OF-DISJOINT-FROM-ALLP-THREE))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-MEMBERP-OF-DISJOINT-FROM-ALLP-ONE))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-MEMBERP-OF-DISJOINT-FROM-ALLP-FOUR))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-MEMBERP-OF-DISJOINT-FROM-ALLP-ALT))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-MEMBERP-OF-DISJOINT-FROM-ALLP))
 (1 1
    (:REWRITE MILAWA::DISJOINTP-WHEN-BOTH-MEMBERSP-OF-MUTUALLY-DISJOINTP))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-REMOVE-DUPLICATES
 (1428 3 (:REWRITE MILAWA::UNIQUEP-OF-CONS))
 (1344 218
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1172 62
       (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (890 41
      (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (887 65
      (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (710 35
      (:REWRITE MILAWA::CONSP-OF-REMOVE-DUPLICATES))
 (610 167
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (485 167
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (459 3
      (:REWRITE MILAWA::MUTUALLY-DISJOINTP-OF-CONS))
 (457 253
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (357 3
      (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (305 35
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (261 3
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (253 253
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (253 253
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (244 244
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (244 244
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (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))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (186 6 (:REWRITE MILAWA::CONSP-OF-DOMAIN))
 (183 183
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (183 183
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (177 177
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (145 10
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (138 3
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-WHEN-NOT-CONSP-LEFT))
 (138 3
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-WHEN-NOT-CONSP))
 (93 3
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (93 3
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (92 2
     (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
 (78 26
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (78 2
     (:REWRITE MILAWA::MEMBERP-OF-REMOVE-DUPLICATES))
 (75 15
     (:REWRITE MILAWA::UNIQUEP-OF-CDR-WHEN-UNIQUEP))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (74 74
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (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))
 (73 73
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (73 73
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (73 73
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (73 73
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (73 73 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (72 72
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (72 72
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (72 72
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (72 72
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (72 72
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (58 10
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (58 10
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (35 35
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (30 15
     (:REWRITE MILAWA::MUTUALLY-DISJOINTP-OF-CDR-WHEN-MUTUALLY-DISJOINTP))
 (30 10
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (26 26 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (18 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (18 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (12 3
     (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (12 3
     (:REWRITE MILAWA::DISJOINT-FROM-ALLP-WHEN-MEMBERP))
 (10 10
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (10 10
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (10 10
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (6 6 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (6 6
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (6 6
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (6 6 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (6 6
    (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (5 1
    (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
   4
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (4
  4
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (4 4
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (4 4
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (4
  4
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (4
  4
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (3 3
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3 3
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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::DOMAIN-OF-CLAUSE.CASES))
 (3
  3
  (:REWRITE
   MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-REMOVE-ALL-OF-MUTUALLY-DISJOINTP-TWO))
 (3
  3
  (:REWRITE
   MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-REMOVE-ALL-OF-MUTUALLY-DISJOINTP))
 (3 3
    (:REWRITE
         MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-DISJOINT-FROM-ALLP-TWO))
 (3
   3
   (:REWRITE
        MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-DISJOINT-FROM-ALLP-THREE))
 (3 3
    (:REWRITE
         MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-DISJOINT-FROM-ALLP-ONE))
 (3 3
    (:REWRITE
         MILAWA::DISJOINT-FROM-ALLP-WHEN-SUBSETP-OF-DISJOINT-FROM-ALLP-FOUR))
 (3
  3
  (:REWRITE
      MILAWA::DISJOINT-FROM-ALLP-WHEN-MEMBERP-OF-ALL-DISJOINT-FROM-ALLP-TWO))
 (3
  3
  (:REWRITE
      MILAWA::DISJOINT-FROM-ALLP-WHEN-MEMBERP-OF-ALL-DISJOINT-FROM-ALLP-ONE))
 (3 3
    (:REWRITE
         MILAWA::DISJOINT-FROM-ALLP-OF-SUBSETP-WHEN-DISJOINT-FROM-ALLP-ALT))
 (3 3
    (:REWRITE MILAWA::DISJOINT-FROM-ALLP-OF-SUBSETP-WHEN-DISJOINT-FROM-ALLP))
 (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))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-DIFFERENCE-WHEN-LEVEL9.PROOF-LISTP-AUX
 (820 23
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (597 23
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (570 78
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (493 3
      (:REWRITE
           MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX))
 (481 3
      (:REWRITE MILAWA::MEMBERP-OF-DIFFERENCE))
 (399 129
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (353 28
      (:REWRITE MILAWA::DIFFERENCE-WHEN-NOT-CONSP))
 (323 75
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (300 5 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (285 62
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (284 129
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (192 12
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (148 26
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (138 3
      (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
 (132 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (129 129
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (128 2
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (118 4
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (96 24
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (84 84
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (84 84
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (66 6
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (66 6
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (54 54
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (54 54
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (54 54
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (41 41
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (41 41
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (41 41
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (41 41
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (41 41
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (41 41 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (31 6
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (27 27
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (26 26
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (25 25
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (25 25
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (25 25
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (24 24
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (24 24
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (24 24
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (18 6
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-OF-DIFFERENCE))
 (12 12
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (12 6
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (11 11
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (6 6 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (6 6
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (6 6
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (5
  5
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (5
   5
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (5
  5
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (5
  5
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (5 5
    (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (5 5
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (5
  5
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (5 5
    (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (5
  5
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (5
  5
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (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::LESS-WHEN-ZP-LEFT-CHEAP))
 (3
  3
  (:REWRITE
       MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-REFLEXIVE))
 (2 2
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2 2
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2 2
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2 2
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX
 (276 34
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (265 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (146 26
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (132 10
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (128 2
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (115 26
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (95 61
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (63 61
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (61 61
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (51 6
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (46 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (39 39
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (39 39
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (37 7 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (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-LOGIC.LAMBDAP-CHEAP))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (32 8
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (28 28
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (21 21 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (15 5
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (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::NOT-EQUAL-WHEN-LESS-TWO))
 (12 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (10 10
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (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))
 (8 8
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (7 7
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (7 7
    (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (6 5
    (:REWRITE
         MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (6 1
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (5 5 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (5 5
    (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (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::LESS-WHEN-ZP-LEFT-CHEAP))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (2 2
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (2 2
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (2 2
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (2 2
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (2 2
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (1
  1
  (:REWRITE MILAWA::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.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::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX-ALT
     (46 1
         (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
     (46 1
         (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
     (46 1
         (:REWRITE MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
     (27 3
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (18 3
         (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
     (15 3
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-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))
     (6 1
        (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
     (4 1
        (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
     (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.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
     (3 3
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
     (1 1
        (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
     (1 1
        (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
     (1 1
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
     (1 1
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
     (1 1
        (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
     (1 1
        (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
     (1 1
        (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
     (1 1
        (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
     (1 1
        (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
     (1 1
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY)))
(MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-REPEAT
 (1788 15 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (1509 48
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1431 28
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1169 7
       (:REWRITE MILAWA::MINUS-WHEN-NOT-LESS))
 (598 13
      (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
 (480 4 (:REWRITE MILAWA::|(< a (- b c))|))
 (449 8 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (327 67
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (240 65
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (223 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (208 1 (:REWRITE MILAWA::|(= c (- a b))|))
 (124 59
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (113 81
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (111 59
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (88 88
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (88 88
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (88 88 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (67 67
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (67 67
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (59 59
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (48 48
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (48 48
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (48 48
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (48 48
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (48 48
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (42 42
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (42 42
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (28 28
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (20 20 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (20 7
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (15 5 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (14
  14
  (:REWRITE
       MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX-ALT))
 (14 1 (:REWRITE MILAWA::|(< (- a b) c)|))
 (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))
 (12
  12
  (:REWRITE
   MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX-ALT))
 (11 7 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (10 10
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (10 10
     (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (10 10
     (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (7 7 (:REWRITE MILAWA::NATP-OF-MINUS))
 (7 7
    (:REWRITE MILAWA::MINUS-WHEN-ZP-RIGHT-CHEAP))
 (7 7
    (:REWRITE MILAWA::MINUS-WHEN-ZP-LEFT-CHEAP))
 (5 5
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (3 3
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (1 1
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (1 1
    (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE)))
(MILAWA::LEMMA-FOR-LOGIC.PROVABLEP-WHEN-LEVEL9.PROOFP-AUX
 (7291 1019
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (6860 196
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (6230 230
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (4459 343
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (4459 343
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (3657 651
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2058 343
       (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (1708 9
       (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (1448 28
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1434 54
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1288 7
       (:REWRITE MILAWA::MAPP-WHEN-LOGIC.ARITY-TABLEP))
 (1110 1054
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1057
     7
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (934 33
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (752 32
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (751
  9
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (659 659
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (659 659
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (655 655
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (651 651
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (651 651
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (651 651
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (651 651
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (651 651
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (651 651
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (651 651
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (651 651
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (651 651
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (635 635
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (635 635
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (621 621
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (621 621
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (562
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (532 179
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (531 222
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (525 33
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (525 15
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-SECOND-WHEN-LOGIC.APPEAL-LISTP))
 (480 15
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (468
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-SECOND-WHEN-LOGIC.PROVABLE-LISTP))
 (411 11
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (411 11
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (343
  343
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (343 343
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (343 343
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (343 343
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (343 343
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (343 343
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (343 343
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (343
   343
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (343
  343
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (343 343
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (343 343
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (343 343
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (343
  343
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (343 343
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (343 343
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (343 343
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (343 343
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (343 343
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (343 343
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (343 343
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (343
  343
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (343 343
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (343
  343
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (343
  343
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (343
  343
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (343 7
      (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (322 7
      (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (266
    14
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (252 7
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (238 7
      (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (238 7
      (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (238 7
      (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (238 7
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (230 230
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (217 7
      (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (217 7
      (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (217 7
      (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (217 7
      (:REWRITE MILAWA::MAPP-WHEN-NOT-CONSP))
 (217 7
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (217 7
      (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (217 7
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (209 209
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (208 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (184 4
      (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (184 4
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (184 4
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (180
  10
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (159 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL2.PROOF-LISTP))
 (148 46
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (140 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL7.PROOF-LISTP-AUX))
 (140 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL3.PROOF-LISTP-AUX))
 (128 28
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (128 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL8.PROOF-LISTP-AUX))
 (128 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL6.PROOF-LISTP-AUX))
 (128 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL5.PROOF-LISTP-AUX))
 (128 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL4.PROOF-LISTP-AUX))
 (119 9
      (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (116 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP-AUX))
 (111 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL2.PROOFP))
 (101 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP-AUX))
 (101 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP-AUX))
 (100 4 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (96 16
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (96 9
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL3.STEP-OKP))
 (96 9
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL2.STEP-OKP))
 (95 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP-AUX))
 (95 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP-AUX))
 (95 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP-AUX))
 (93 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP))
 (93 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP))
 (93 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP))
 (93 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP))
 (93 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP))
 (93 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP))
 (92 2
     (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
 (86 21
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (82 9
     (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-LEVEL6.STEP-OKP))
 (80 16
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
 (79 14
     (:REWRITE MILAWA::LEVEL2.PROOF-LISTP-WHEN-NOT-CONSP))
 (72 7
     (:REWRITE MILAWA::LEVEL8.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (72 7
     (:REWRITE MILAWA::LEVEL7.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (72 7
     (:REWRITE MILAWA::LEVEL6.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (72 7
     (:REWRITE MILAWA::LEVEL5.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (72 7
     (:REWRITE MILAWA::LEVEL4.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (72 7
     (:REWRITE MILAWA::LEVEL3.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (72 7 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (71 16
     (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-LEVEL4.STEP-OKP))
 (71 9
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL7.STEP-OKP))
 (70 70
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (70 70
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (70 70
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (70 70
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (70 70
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (70 70
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (70 70
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (70 70
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (70 70 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (70 10
     (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (69 4
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (62 16
     (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-LEVEL3.STEP-OKP))
 (62 2
     (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-NOT-CONSP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (58 58
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (54 54
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (51 51
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (49 12
     (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-LEVEL2.STEP-OKP))
 (47 21
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (47 2
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (43 43
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (40 40
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (40 12
     (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-LOGIC.APPEAL-STEP-OKP))
 (35
  35
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (35
    35
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (34 34
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (34 34
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (34 34
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (34 34
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (34 34
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (32 32 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (32 32 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (32 32
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (32 32
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (32 17
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (28 28
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (28 28
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (28 28
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (26 21
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (24 2
     (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-LEVEL8.STEP-OKP))
 (23
    9
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (22 2
     (:REWRITE MILAWA::LEVEL8.STEP-OKP-WHEN-LEVEL7.STEP-OKP))
 (21
  21
  (:REWRITE
       MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP-ALT))
 (21 21
     (:REWRITE
          MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP))
 (21
  21
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (21 21
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (21 21
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (21 21
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (19 5
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-CDR-WHEN-LOGIC.PROOF-LISTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (17 17
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (17 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (16 16
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (16 16
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (16 16
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (16 9
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL6.STEP-OKP))
 (16 9
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL5.STEP-OKP))
 (16 9
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL4.STEP-OKP))
 (15
  3
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (14
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (14
    14
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
 (14 14
     (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (14 14
     (:REWRITE
          MILAWA::LEVEL2.PROOF-LISTP-OF-SUBSETP-WHEN-LEVEL2.PROOF-LISTP-ALT))
 (14
    14
    (:REWRITE MILAWA::LEVEL2.PROOF-LISTP-OF-SUBSETP-WHEN-LEVEL2.PROOF-LISTP))
 (13
   5
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (12 12
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (12 12
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-REMOVE-DUPLICATES-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (12 4 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (12 3
     (:REWRITE MILAWA::LEVEL2.PROOFP-OF-CAR-WHEN-LEVEL2.PROOF-LISTP))
 (11
  11
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (9 9
    (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL8.STEP-OKP))
 (9 9
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (9 9
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (9 9
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.WORLD-UREWRITE-LIST-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (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.MP-MP2-MP-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQUAL-OF-IF-X-Y-Y-BLDR-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.DISJOINED-MP-MP2-MP-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (9
  9
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (9
  9
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-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-RW.CREWRITE-TWIDDLE2-LEMMA-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-TRACE-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2B-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2A-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1B-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1A-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0B-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0A-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP))
 (9
  9
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LIST-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-4-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-3-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-2-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-2-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-1-BLDR-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-BLDR-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.SPLIT-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-SPLIT-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-LIMSPLIT-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.PROVE-ARBITRARY-FORMULA-FROM-ITS-CLAUSE-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.LIMSPLIT-CUTOFF-BLDR-NICE-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-2-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-UPDATE-CLAUSE-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-CASES-LEMMA1-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.CASES-LEMMA1-BLDR-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (9
   9
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (9
  9
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP))
 (9 9
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
 (9
  9
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-TWIDDLE-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA3-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
 (9
  9
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA1-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.SECOND-CONJUNCT-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-COMMUTE-OR-THEN-RASSOC-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.FIRST-CONJUNCT-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-SECOND-CONJUNCT-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-REVAPPEND-DISJUNCTION-LEMMA1-BLDR-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-FIRST-CONJUNCT-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-CONJOIN-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.CONJOIN-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-LEMMA-2-OKP))
 (9
   9
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-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))
 (8 2
    (:REWRITE MILAWA::LEVEL2.PROOF-LISTP-OF-CDR-WHEN-LEVEL2.PROOF-LISTP))
 (7 7
    (:REWRITE
         MILAWA::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP-ALT))
 (7
  7
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ENV-OKP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ENV-OKP-ALT))
 (7
  7
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ATBLP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ATBLP-ALT))
 (7
   7
   (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP))
 (7 7
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP))
 (7
   7
   (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP))
 (7 7
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP-ALT))
 (7 7
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP))
 (7 7
    (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP))
 (7 7
    (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMA-ATBLP))
 (7 7
    (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAP-ATBLP))
 (7 7
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (7 7
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (7 7
    (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP-ALT))
 (7 7
    (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP))
 (7 7
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (7
  7
  (:REWRITE
   MILAWA::LEVEL8.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL8.PROOF-LISTP-AUX-ALT))
 (7
  7
  (:REWRITE
      MILAWA::LEVEL8.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL8.PROOF-LISTP-AUX))
 (7
  7
  (:REWRITE
   MILAWA::LEVEL7.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL7.PROOF-LISTP-AUX-ALT))
 (7
  7
  (:REWRITE
      MILAWA::LEVEL7.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL7.PROOF-LISTP-AUX))
 (7
  7
  (:REWRITE
   MILAWA::LEVEL6.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL6.PROOF-LISTP-AUX-ALT))
 (7
  7
  (:REWRITE
      MILAWA::LEVEL6.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL6.PROOF-LISTP-AUX))
 (7
  7
  (:REWRITE
   MILAWA::LEVEL5.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL5.PROOF-LISTP-AUX-ALT))
 (7
  7
  (:REWRITE
      MILAWA::LEVEL5.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL5.PROOF-LISTP-AUX))
 (7
  7
  (:REWRITE
   MILAWA::LEVEL4.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL4.PROOF-LISTP-AUX-ALT))
 (7
  7
  (:REWRITE
      MILAWA::LEVEL4.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL4.PROOF-LISTP-AUX))
 (7
  7
  (:REWRITE
   MILAWA::LEVEL3.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL3.PROOF-LISTP-AUX-ALT))
 (7
  7
  (:REWRITE
      MILAWA::LEVEL3.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL3.PROOF-LISTP-AUX))
 (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::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX-ALT))
 (4 1
    (:REWRITE MILAWA::LEVEL8.PROOFP-AUX-OF-CAR-WHEN-LEVEL8.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE
         MILAWA::LEVEL8.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL8.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE MILAWA::LEVEL7.PROOFP-AUX-OF-CAR-WHEN-LEVEL7.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE
         MILAWA::LEVEL7.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL7.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE MILAWA::LEVEL6.PROOFP-AUX-OF-CAR-WHEN-LEVEL6.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE
         MILAWA::LEVEL6.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL6.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE MILAWA::LEVEL5.PROOFP-AUX-OF-CAR-WHEN-LEVEL5.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE
         MILAWA::LEVEL5.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL5.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE MILAWA::LEVEL4.PROOFP-AUX-OF-CAR-WHEN-LEVEL4.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE
         MILAWA::LEVEL4.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL4.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE MILAWA::LEVEL3.PROOFP-AUX-OF-CAR-WHEN-LEVEL3.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE
         MILAWA::LEVEL3.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL3.PROOF-LISTP-AUX))
 (3
  3
  (:REWRITE
       MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX-ALT))
 (3 3
    (:REWRITE MILAWA::LEVEL2.PROOFP-WHEN-MEMBERP-OF-LEVEL2.PROOF-LISTP-ALT))
 (3 3
    (:REWRITE MILAWA::LEVEL2.PROOFP-WHEN-MEMBERP-OF-LEVEL2.PROOF-LISTP))
 (3 1
    (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1 1 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (1
  1
  (:REWRITE
       MILAWA::LEVEL8.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL8.PROOF-LISTP-AUX-ALT))
 (1 1
    (:REWRITE
         MILAWA::LEVEL8.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL8.PROOF-LISTP-AUX))
 (1
  1
  (:REWRITE
       MILAWA::LEVEL7.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL7.PROOF-LISTP-AUX-ALT))
 (1 1
    (:REWRITE
         MILAWA::LEVEL7.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL7.PROOF-LISTP-AUX))
 (1
  1
  (:REWRITE
       MILAWA::LEVEL6.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL6.PROOF-LISTP-AUX-ALT))
 (1 1
    (:REWRITE
         MILAWA::LEVEL6.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL6.PROOF-LISTP-AUX))
 (1
  1
  (:REWRITE
       MILAWA::LEVEL5.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL5.PROOF-LISTP-AUX-ALT))
 (1 1
    (:REWRITE
         MILAWA::LEVEL5.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL5.PROOF-LISTP-AUX))
 (1
  1
  (:REWRITE
       MILAWA::LEVEL4.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL4.PROOF-LISTP-AUX-ALT))
 (1 1
    (:REWRITE
         MILAWA::LEVEL4.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL4.PROOF-LISTP-AUX))
 (1
  1
  (:REWRITE
       MILAWA::LEVEL3.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL3.PROOF-LISTP-AUX-ALT))
 (1 1
    (:REWRITE
         MILAWA::LEVEL3.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL3.PROOF-LISTP-AUX)))
(MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL9.PROOFP-AUX)
(MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL9.PROOF-LISTP-AUX)
(MILAWA::LEMMA-FOR-LEVEL9.PROOFP-AUX-WHEN-LOGIC.PROOFP
 (1354 37
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (845 52
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (832 13
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (814 37
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (753 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (431 9
      (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-NOT-CONSP))
 (374 87
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (357 116
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (210 142
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (174 2 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (157 40
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (150 3
      (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
 (143 143
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (143 143
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (134 134
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (134 134
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (78 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (78 13
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (77 2
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-WHEN-NOT-CONSP))
 (69 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (52 52
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (51 17
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (46 46
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (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))
 (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 1
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (44 44
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (40 40
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (40 40
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (39 39
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (39 39
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (39 39
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (39 39
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (39 39
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (37 7
     (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (34 34
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (28
  28
  (:REWRITE
   MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX-ALT))
 (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))
 (25 7
     (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (23 23
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (17 17 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (15 6
     (:REWRITE
          MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (13
  13
  (:REWRITE
       MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP-ALT))
 (13 13
     (:REWRITE
          MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP))
 (13 13
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (13 13
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (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))
 (12
  12
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (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 3
     (:REWRITE
          MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX))
 (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::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (7 7
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (6 6
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (6 6
    (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (6 6
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 6
    (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (6 6
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (6 6
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (4 1
    (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-OF-CAR-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (3
  3
  (:REWRITE
      MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX-ALT)))
(MILAWA::LEVEL9.PROOFP-AUX-WHEN-LOGIC.PROOFP)
(MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-LOGIC.PROOF-LISTP)
(MILAWA::FORCING-LEVEL9.PROOFP-AUX-OF-LOGIC.PROVABLE-WITNESS
 (46 1
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (9 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (6 1
    (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (5 1
    (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (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::TRUE-LISTP-WHEN-TUPLEP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (1 1 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (1 1
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (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.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (1 1
    (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (1 1
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (1 1
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP)))
(MILAWA::LEVEL9.STATIC-CHECKSP
 (1862 49
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (1855 287
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (1553 53
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (972 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (637 49
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (637 49
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (298 6
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (294 49
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (294 10
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (287 287
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (287 287
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (266 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (201 3
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (200 8
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (166
     1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (136 136
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (136 136
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (135 135
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (131 131
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (125 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (107 3
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (104
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (80 25
     (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (69 25
     (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (58 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (53 53
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (52 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (49
  49
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (49
   49
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (49
  49
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (49
  49
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (49 49
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (49 49
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (49 49
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (49 49
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (49 49
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (49 49
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (49
  49
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (49 49
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (49
  49
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (49
  49
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (49
  49
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (49 1
     (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (46 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (36 6
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (34 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (34 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (34 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (34 1
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (31 1
     (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (26 6
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (24 6
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (24 4
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (11 11 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (10 10
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (8 8
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (8 8
    (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (8 8
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-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))
 (6 6 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (6 6 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (6 6
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (6 6
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (6 6
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-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::LESS-WHEN-ZP-LEFT-CHEAP))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (6 6
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (6 6
    (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (6 6
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (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))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (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))
 (1
   1
   (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP))
 (1 1
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP))
 (1
   1
   (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP))
 (1 1
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP))
 (1 1
    (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAP-ATBLP))
 (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.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT)))
(MILAWA::LEVEL9.PROOFP
 (3185 245
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (3185 245
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (3024 441
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (2617 1057
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2025 288
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1690 43
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1574 36
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1536 48
       (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (1521 40
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1489 43
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (1470 245
       (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (1400 10
       (:REWRITE MILAWA::ORDERED-LISTP-WHEN-ORDERED-MAPP))
 (1239 48
       (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (1114 361
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1057 1057
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1057 1057
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1035 5
       (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (1005 245
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (1000 40
       (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (968 285
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (953 12
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (900 10
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (860 10
      (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP))
 (807 15
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (780 15
      (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (760 10
      (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP-OF-CDR))
 (735 15
      (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (720 5
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (720 5
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (675 15
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (625 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (585 20
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (570 15
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (540 15
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (510 15
      (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (510 15
      (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (510 15
      (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (510 15
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (490 10
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (465 15
      (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (465 15
      (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (465 15
      (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (465 15
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (465 15
      (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (462 462
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (462 462
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (445 5
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-SECOND-WHEN-LOGIC.APPEAL-LISTP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (441 441
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (421 15
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (398 398
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (398 398
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (388 124
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (288 288
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (270 15
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-CDR-WHEN-LOGIC.APPEAL-LISTP))
 (266 36
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (245
  245
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (245 245
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (245 245
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (245 245
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (245 245
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (245 245
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (245 245
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (245
   245
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (245
  245
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (245 245
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (245 245
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (245 245
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (245
  245
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (245 245
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (245 245
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (245 245
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (245 245
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (245 245
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (245 245
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (245 245
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (245
  245
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (245 245
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (245
  245
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (245
  245
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (245
  245
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (245 5
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (245 5
      (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (227
    13
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (225
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (210 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-WHEN-NOT-CONSP))
 (200 200
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (200 200
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (200 200
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (175 5
      (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (166 36
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (125 5 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (120 20
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (118 118
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (118 118
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (118 118
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (118 118
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (118 118 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (87 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (77 77
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (62 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (60 60
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (60 20
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (57 15
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (52 52
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (49 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (48 48
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (48 48
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (48 48
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (48 48
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (48 48
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (42 42 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (42 42 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (42 42
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (40 40
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (40 40
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (36 36
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (36 36
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (36 36
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (35 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (33 33
     (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (33 33
     (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (32 32
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (31 1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (24 24
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (24 24
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (24 24
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (24 24
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (20 20 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (20 20
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (20 20
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (20 20
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (20
  20
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (20
    20
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (20 20
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (20
    20
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (20 15
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (19 19
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (15
   15
   (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP-ALT))
 (15 15
     (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP))
 (15 15
     (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP-ALT))
 (15 15
     (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP))
 (15
   15
   (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP-ALT))
 (15 15
     (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP))
 (15 15
     (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP-ALT))
 (15 15
     (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP))
 (15 15
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMA-ATBLP))
 (15 15
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAP-ATBLP))
 (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.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP-ALT))
 (15 15
     (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP))
 (15 5 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10
     (:REWRITE MILAWA::ORDERED-LISTP-WHEN-MEMBERP-OF-ORDERED-LIST-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::ORDERED-LISTP-WHEN-MEMBERP-OF-ORDERED-LIST-LISTP))
 (6 6
    (:REWRITE
         MILAWA::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP-ALT))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP-ALT))
 (6
  6
  (:REWRITE
       MILAWA::LOGIC.FORMULA-LISTP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LISTP-WHEN-LOGIC.FORMULAP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (6
   6
   (:REWRITE
        MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP-ALT))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (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))
 (6 6
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (5
  5
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ENV-OKP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ENV-OKP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ENV-OKP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ENV-OKP))
 (5
  5
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ATBLP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ATBLP-ALT))
 (5
  5
  (:REWRITE
    MILAWA::TACTIC.WORLD-LIST-ATBLP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (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-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (5 5
    (:REWRITE MILAWA::LOGIC.ARITIES-OKP-WHEN-SUBSETP-2))
 (5 5
    (:REWRITE MILAWA::LOGIC.ARITIES-OKP-WHEN-SUBSETP-1))
 (5 5
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (3 3
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (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))
 (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::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::BOOLEANP-OF-LEVEL9.PROOFP
 (637 49
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (637 49
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (525 95
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (490 178
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (453 60
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (430 9
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (416 10
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (391 9
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (379 9
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (353 12
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (317 12
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (294 49
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (268 2
      (:REWRITE MILAWA::ORDERED-LISTP-WHEN-ORDERED-MAPP))
 (250 1
      (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
 (230 72
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (219 8 (:DEFINITION NOT))
 (207 49
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (198 1
      (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (193 54
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (193 5
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (188 8
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (185 5
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (184 1
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.ARITY-TABLEP))
 (178 178
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (178 178
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (174 2
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (163 2
      (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP))
 (151
     1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (146 2
      (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP-OF-CDR))
 (138 1
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (138 1
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (128 1
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (122 1
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (121 3
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (116
     1
     (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-OF-CAR-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (108 26
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (108 4
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (107 3
      (:REWRITE MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (100 100
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (100 100
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (95 95
     (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (94 94
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (92 2
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (87 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (83 1
     (:REWRITE MILAWA::LOGIC.APPEALP-OF-SECOND-WHEN-LOGIC.APPEAL-LISTP))
 (79 2
     (:REWRITE
          MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (65 3
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (64 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (60 60
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (51 3
     (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-CDR-WHEN-LOGIC.APPEAL-LISTP))
 (49
  49
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (49
   49
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (49
  49
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (49 49
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (49
  49
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (49 49
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (49 49
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (49 49
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (49 49
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (49 49
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (49 49
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (49 49
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (49
  49
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (49 49
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (49
  49
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (49
  49
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (49
  49
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (49 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (46 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (46 1
     (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (46 1
     (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (46 1
     (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (44 9
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (43 43
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (42
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (39 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-WHEN-NOT-CONSP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (35 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (35 1
     (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (34 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (34 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (34 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (34 1
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (31 1
     (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::MAPP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (31 1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (30 5
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (28 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (25 25
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (25 25
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (25 25
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (25 25
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (25 25 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (25 1 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (24 4
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (14 14
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (14 14
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (12 12 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (12 12 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (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::LESS-WHEN-ZP-LEFT-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (12 12
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (12 4
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (12 3
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (10 10
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (9 9
    (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (9 9
    (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (8 8
    (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (7 7
    (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (7 7
    (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (6 1
    (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
 (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::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (4 4 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (4 4
    (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (3 3
    (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (3 3 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3
  3
  (:REWRITE
   MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX-ALT))
 (3
  3
  (:REWRITE
      MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (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))
 (3 1 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (2 2
    (:REWRITE MILAWA::ORDERED-LISTP-WHEN-MEMBERP-OF-ORDERED-LIST-LISTP-ALT))
 (2 2
    (:REWRITE MILAWA::ORDERED-LISTP-WHEN-MEMBERP-OF-ORDERED-LIST-LISTP))
 (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::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP))
 (1
  1
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ENV-OKP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ENV-OKP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ENV-OKP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ENV-OKP))
 (1
  1
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ATBLP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
    MILAWA::TACTIC.WORLD-LIST-ATBLP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ATBLP))
 (1
   1
   (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP))
 (1 1
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP))
 (1
   1
   (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP))
 (1 1
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP))
 (1 1
    (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP-ALT))
 (1 1
    (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP))
 (1 1
    (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMA-ATBLP))
 (1 1
    (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAP-ATBLP))
 (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-LIST-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LIST-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-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (1 1
    (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP))
 (1 1
    (:REWRITE
         MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (1 1
    (:REWRITE MILAWA::LOGIC.ARITIES-OKP-WHEN-SUBSETP-2))
 (1 1
    (:REWRITE MILAWA::LOGIC.ARITIES-OKP-WHEN-SUBSETP-1))
 (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::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX-ALT))
 (1 1
    (:REWRITE
         MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX))
 (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::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::APP-OF-SINGLETON-LIST-CHEAP)))
(MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL9.PROOFP
 (24843 1911
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (24843 1911
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (19399 5221
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (14953 2141
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (11776 64
        (:REWRITE MILAWA::MAPP-WHEN-LOGIC.ARITY-TABLEP))
 (11466 1911
        (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (11235 2287
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (11037 1862
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (9664
     64
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (7470 137
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (7358 249
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (6386 142
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (5858 205
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (5583 5221
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (5221 5221
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (4496 1654
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (4302 1757
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (3520 609
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3136 64
       (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (2944 64
       (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (2898 63
       (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (2709 64
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (2491 64
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (2486 142
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (2473 74
       (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (2385 2385
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (2385 2385
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2350 100
       (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (2304 64
       (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2292 2292
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2287 2287
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2205 63
       (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (2176 64
       (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (2176 64
       (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (2176 64
       (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (2176 64
       (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (2141 2141
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2107 74
       (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (2004 2004
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2004 2004
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (1984 64
       (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (1984 64
       (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (1984 64
       (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (1984 64
       (:REWRITE MILAWA::MAPP-WHEN-NOT-CONSP))
 (1984 64
       (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (1984 64
       (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (1984 64
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (1911
  1911
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (1911
      1911
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (1911 1911
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1911 1911
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1911 1911
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1911 1911
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (1911 1911
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1911
   1911
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (1911
  1911
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (1911 1911
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (1911 1911
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (1911 1911
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (1911 1911
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (1911 1911
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (1911
      1911
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (1911 1911
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (1911 1911
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (1911 1911
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (1911 1911
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (1911
  1911
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (1911
      1911
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (1911 1911
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (1911 1911
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (1911 1911
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (1911 1911
       (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (1911 1911
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (1911 1911
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (1911 1911
       (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (1911 1911
       (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (1911
  1911
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (1911 1911
       (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (1911
  1911
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (1911
  1911
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (1911
  1911
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (1876 14
       (:REWRITE MILAWA::ORDERED-LISTP-WHEN-ORDERED-MAPP))
 (1655 11
       (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (1420 7
       (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (1394
  8
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (1285 10
       (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (1218 14
       (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (1158
    11
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1141 14
       (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP))
 (1094 9
       (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (1022 14
       (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP-OF-CDR))
 (984 24
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (952 137
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (922 6
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (897 24
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (784 5
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (782 3
      (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-WHEN-NOT-CONSP))
 (712 712
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (712 712
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (712 712
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (692 137
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (659 42
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (644 14
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (556 142
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (538 538
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (538 538
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (538 538
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (538 538
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (538 538 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (507
  4
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-SECOND-WHEN-LOGIC.PROVABLE-LISTP))
 (472
  3
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-THIRD-WHEN-LOGIC.PROVABLE-LISTP))
 (441
  5
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (399
     3
     (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-OF-CAR-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (385
  9
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (374 11
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP-AUX))
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      (:REWRITE MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (368 8
      (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (367 33
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-CDR-WHEN-LOGIC.APPEAL-LISTP))
 (358 9
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-WHEN-NOT-CONSP))
 (349 22
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-SECOND-WHEN-LOGIC.APPEAL-LISTP))
 (325 13 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (304 30
      (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (303
  8
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (300 300
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (300 50
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (280 8
      (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (265
     6
     (:REWRITE
          MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (249 249
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (245 31
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (243 8
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL2.PROOF-LISTP))
 (237 21
      (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-CDR-WHEN-LOGIC.PROOF-LISTP))
 (229 8
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (222 222
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (222 222
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (219 9
      (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (205 205
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (205 205
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (205 205
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (201 201
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (196 196 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (196 196
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (196 196
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (190 11
      (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (176 8
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (161 5
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (152 152
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (152 152
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (152 152
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (152 152
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (148 148
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (148 148
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (148 148
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (148 148
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (142 142
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (142 142
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (140 140
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (140 5
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (139 11
      (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (137 137
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (137 137
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (137 137
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (137 137
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (137 137
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (137 137
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (102 34
      (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (100 100
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (94 94
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (94 94
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (90 90
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (74 74
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP-ALT))
 (74 74
     (:REWRITE MILAWA::NONE-CONSP-OF-SUBSETP-WHEN-NONE-CONSP))
 (74 74
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP-ALT))
 (74 74
     (:REWRITE MILAWA::CONS-LISTP-WHEN-MEMBERP-OF-CONS-LIST-LISTP))
 (74 74
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP-ALT))
 (74 74
     (:REWRITE MILAWA::CONS-LISTP-OF-SUBSETP-WHEN-CONS-LISTP))
 (71 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL7.STEP-OKP))
 (70 30
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (67 67
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (67
    67
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (64
   64
   (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP-ALT))
 (64 64
     (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP))
 (64 64
     (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP-ALT))
 (64 64
     (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP))
 (64
   64
   (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP-ALT))
 (64 64
     (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP))
 (64 64
     (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP-ALT))
 (64 64
     (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP))
 (64 64
     (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP-ALT))
 (64 64
     (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP))
 (64 64
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMA-ATBLP))
 (64 64
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAP-ATBLP))
 (64 64
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (64 64
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (64 64
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (64 64
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (64 64
     (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP-ALT))
 (64 64
     (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP))
 (64 64
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (63 63 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (63 63
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (63 63
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (60 14
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
 (60 7
     (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-LEVEL6.STEP-OKP))
 (53 14
     (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-LEVEL4.STEP-OKP))
 (50 50
     (:REWRITE MILAWA::TRUE-LISTP-OF-CAR-WHEN-TRUE-LIST-LISTP))
 (50 50
     (:REWRITE MILAWA::NATP-OF-CAR-WHEN-NAT-LISTP))
 (50 50
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (50 50
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (50 50
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (46 14
     (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-LEVEL3.STEP-OKP))
 (42
  42
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (42
    42
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (42 42
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (42
    42
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (39 39
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (39 39
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (39 13 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (38 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP))
 (36 22
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
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     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP-AUX))
 (36 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP-AUX))
 (36 11
     (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-LEVEL2.STEP-OKP))
 (34 34 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (30
  30
  (:REWRITE
       MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP-ALT))
 (30 30
     (:REWRITE
          MILAWA::LOGIC.PROOF-LISTP-WHEN-MEMBERP-OF-LOGIC.PROOF-LIST-LISTP))
 (30
  30
  (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP-ALT))
 (30 30
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-SUBSETP-WHEN-LOGIC.PROOF-LISTP))
 (30 30
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-THEOREM-SET))
 (30 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL2.PROOFP))
 (29 11
     (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-LOGIC.APPEAL-STEP-OKP))
 (29 8
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (29 8
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL8.PROOF-LISTP-AUX))
 (29 8
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL7.PROOF-LISTP-AUX))
 (29 8
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL6.PROOF-LISTP-AUX))
 (29 8
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL5.PROOF-LISTP-AUX))
 (29 8
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL4.PROOF-LISTP-AUX))
 (29 8
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL3.PROOF-LISTP-AUX))
 (26 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL3.STEP-OKP))
 (26 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL2.STEP-OKP))
 (25
    11
    (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.SUBPROOFS-PROVABLE))
 (24 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP-AUX))
 (24 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP-AUX))
 (24 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP-AUX))
 (22 22
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP-ALT))
 (22 22
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-MEMBERP-OF-LOGIC.PROOF-LISTP))
 (22 22
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-THEOREM-SET))
 (22 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP))
 (22 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP))
 (22 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP))
 (22 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP))
 (22 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP))
 (18 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (18 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL6.STEP-OKP))
 (18 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL5.STEP-OKP))
 (18 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL4.STEP-OKP))
 (16 16
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (14 14
     (:REWRITE MILAWA::ORDERED-LISTP-WHEN-MEMBERP-OF-ORDERED-LIST-LISTP-ALT))
 (14 14
     (:REWRITE MILAWA::ORDERED-LISTP-WHEN-MEMBERP-OF-ORDERED-LIST-LISTP))
 (11 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL9.STEP-OKP))
 (11 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL8.STEP-OKP))
 (11 11
     (:REWRITE
          MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (11 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (11 11
     (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.WORLD-UREWRITE-LIST-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
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   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (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.MP-MP2-MP-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-OF-IF-X-Y-Y-BLDR-OKP))
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  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-BLDR-OKP))
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  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (11
    11
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
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   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.DISJOINED-MP-MP2-MP-OKP))
 (11
    11
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (11
  11
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (11
  11
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
 (11
  11
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-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-TWIDDLE2-LEMMA-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-TRACE-OKP))
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   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2B-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2A-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1B-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-1A-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0B-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0A-OKP))
 (11
  11
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP))
 (11
  11
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LIST-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-4-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-3-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-2-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-2-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-1-BLDR-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-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.SPLIT-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-SPLIT-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-LIMSPLIT-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.PROVE-ARBITRARY-FORMULA-FROM-ITS-CLAUSE-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.LIMSPLIT-CUTOFF-BLDR-NICE-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-2-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-1-OKP))
 (11
  11
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-UPDATE-CLAUSE-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (11
   11
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-CASES-LEMMA1-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.CASES-LEMMA1-BLDR-OKP))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (11
   11
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (11
    11
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (11
   11
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (11
    11
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (11
  11
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP))
 (11 11
     (:REWRITE
          MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-TWIDDLE-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA3-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
 (11
  11
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA1-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.SECOND-CONJUNCT-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-COMMUTE-OR-THEN-RASSOC-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.FIRST-CONJUNCT-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-SECOND-CONJUNCT-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-REVAPPEND-DISJUNCTION-LEMMA1-BLDR-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-FIRST-CONJUNCT-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-CONJOIN-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.CONJOIN-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-LEMMA-2-OKP))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.COMPILE-FORMULA-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::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (10 10
     (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-LOGIC.FORMULA-ATBLP-OF-LOGIC.DISJOIN-FORMULAS-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-WHEN-LOGIC.PROVABLE-LISTP))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (9
  9
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (9
  9
  (:REWRITE
   MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX-ALT))
 (9
  9
  (:REWRITE
      MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (9 9
    (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WITH-LEN-FREE))
 (8
  8
  (:REWRITE
      MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP-ALT))
 (8 8
    (:REWRITE
         MILAWA::LOGIC.PROVABLE-LISTP-OF-SUBSETP-WHEN-LOGIC.PROVABLE-LISTP))
 (8
  8
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-REMOVE-DUPLICATES-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (8 8
    (:REWRITE MILAWA::LOGIC.ARITIES-OKP-WHEN-SUBSETP-2))
 (8 8
    (:REWRITE MILAWA::LOGIC.ARITIES-OKP-WHEN-SUBSETP-1))
 (8 8
    (:REWRITE MILAWA::APP-OF-SINGLETON-LIST-CHEAP))
 (7 7
    (:REWRITE
         MILAWA::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP-ALT))
 (7 7
    (:REWRITE MILAWA::TACTIC.WORLD-LISTP-OF-SUBSETP-WHEN-TACTIC.WORLD-LISTP))
 (6
  6
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ATBLP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ATBLP-ALT))
 (6
  6
  (:REWRITE
    MILAWA::TACTIC.WORLD-LIST-ATBLP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ATBLP))
 (5
  5
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ENV-OKP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ENV-OKP-ALT))
 (5
  5
  (:REWRITE
   MILAWA::TACTIC.WORLD-LIST-ENV-OKP-OF-SUBSETP-WHEN-TACTIC.WORLD-LIST-ENV-OKP))
 (4 4
    (:REWRITE MILAWA::LEVEL2.PROOFP-WHEN-MEMBERP-OF-LEVEL2.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LEVEL2.PROOFP-WHEN-MEMBERP-OF-LEVEL2.PROOF-LISTP))
 (3
  3
  (:REWRITE
       MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX-ALT))
 (3 3
    (:REWRITE
         MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
       MILAWA::LEVEL8.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL8.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE
         MILAWA::LEVEL8.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL8.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
       MILAWA::LEVEL7.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL7.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE
         MILAWA::LEVEL7.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL7.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
       MILAWA::LEVEL6.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL6.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE
         MILAWA::LEVEL6.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL6.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
       MILAWA::LEVEL5.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL5.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE
         MILAWA::LEVEL5.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL5.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
       MILAWA::LEVEL4.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL4.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE
         MILAWA::LEVEL4.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL4.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
       MILAWA::LEVEL3.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL3.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE
         MILAWA::LEVEL3.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL3.PROOF-LISTP-AUX)))
(MILAWA::LEVEL9.ADAPTER)
