(MILAWA::LEVEL11.STEP-OKP)
(MILAWA::SOUNDNESS-OF-LEVEL11.STEP-OKP
 (4016 548
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (3862 122
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (3774 102
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (3258
  6
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (2109 397
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1656 49
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1594 29
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1326 102
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (1326 102
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (1292 38
       (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (1130 4
       (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (980 40
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (782 548
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (612 102
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (580 548
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (424 2
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.ARITY-TABLEP))
 (410
  4
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (409 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (399 399
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (399 399
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP-ALT))
 (399 399
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (397 397
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (397 397
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (397 397
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (397 397
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (397 397
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (397 397
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (397 397
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (397 397
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (397 397
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (391 165
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (377 377
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (377 377
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (366 12
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (359 359
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (359 359
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (354
     2
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (308 103
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (299 5
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL10.PROOFP-AUX))
 (250 10 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (242 12
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (209 41
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (170 4
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (170 4
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (134
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (122 122
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (120 20
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (102
  102
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (102 102
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (102 102
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (102 102
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (102 102
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (102 102
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (102 102
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (102
   102
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (102
  102
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (102 102
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (102 102
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (102 102
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (102
  102
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (102 102
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (102 102
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (102 102
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (102 102
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (102 102
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (102 102
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (102 102
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (102
  102
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (102 102
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (102
  102
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (102
  102
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (102
  102
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (102 6
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL7.PROOF-LISTP-AUX))
 (102 6
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL3.PROOF-LISTP-AUX))
 (102 2
      (:REWRITE MILAWA::MAPP-WHEN-ELIM.NAMESP))
 (100 6
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (96 2
     (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (96 2
     (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (96 2
     (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (96 2
     (:REWRITE MILAWA::ELIM.NAMESP-WHEN-NOT-CONSP))
 (94 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL2.PROOF-LISTP))
 (92
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (88 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (88 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL8.PROOF-LISTP-AUX))
 (88 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL6.PROOF-LISTP-AUX))
 (88 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL5.PROOF-LISTP-AUX))
 (88 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL4.PROOF-LISTP-AUX))
 (88 6
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL10.PROOF-LISTP-AUX))
 (84 12
     (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (82 6
     (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (82 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL9.PROOFP-AUX))
 (82 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP-AUX))
 (80
    4
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (77 5
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL10.PROOFP))
 (76 4
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL3.STEP-OKP))
 (76 4
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL2.STEP-OKP))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL9.PROOFP))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP-AUX))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP-AUX))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP-AUX))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP-AUX))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP-AUX))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP))
 (76 4
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL2.PROOFP))
 (76 2
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (74 10
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (72 2
     (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (72 2
     (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (72 2
     (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (72 2
     (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (72 2
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (68 4
     (:REWRITE MILAWA::LEVEL2.PROOF-LISTP-WHEN-NOT-CONSP))
 (66 4
     (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (66 2
     (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::MAPP-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LEVEL8.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LEVEL7.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LEVEL6.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LEVEL5.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LEVEL4.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LEVEL3.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::LEVEL10.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (66 2
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (66 2 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (62 62
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (58
  58
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (58
    58
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (58 58
     (:REWRITE MILAWA::FORCING-LOGIC.APPEAL-LISTP-OF-LOGIC.SUBPROOFS))
 (52 12
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (49 49
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (49 49
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (49 49
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (49 49
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (49 49
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (49 49
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (48 1
     (:REWRITE MILAWA::LEVEL10.STEP-OKP-WHEN-NOT-CONSP))
 (46 5
     (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-LEVEL6.STEP-OKP))
 (45 9
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (42 42
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (42 42
     (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (42 42
     (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (42 42
     (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (41 41
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (41 41
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (41 41
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (41 41
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (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))
 (40 40
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (40 40
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (40 40
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (40 40
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (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))
 (30 30
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (30 30
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (30 10 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (30
  6
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (29 29
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (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))
 (22 22 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (22 22 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (22 22
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (21 5
     (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-LOGIC.APPEAL-STEP-OKP))
 (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.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))
 (15 12
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (13 1
     (:REWRITE MILAWA::LEVEL10.STEP-OKP-WHEN-LEVEL9.STEP-OKP))
 (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))
 (12 1
     (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-LEVEL8.STEP-OKP))
 (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::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (8 8
    (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (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 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::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))
 (5 5
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-TACTIC.CONDITIONAL-EQSUBST-LEMMA1-OKP))
 (4 4
    (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL9.STEP-OKP))
 (4 4
    (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL8.STEP-OKP))
 (4 4
    (:REWRITE
         MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-MEMBERP-OF-LOGIC.PROVABLE-LISTP))
 (4 4
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (4
  4
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-MEMBERP-OF-LOGIC.FORMULA-LIST-LIST-ATBLP-ALT))
 (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))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-REMOVE-DUPLICATES-FREE))
 (4 4
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (4 4
    (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-THEOREM-SET))
 (4 4
    (:REWRITE
         MILAWA::LEVEL2.PROOF-LISTP-OF-SUBSETP-WHEN-LEVEL2.PROOF-LISTP-ALT))
 (4 4
    (:REWRITE MILAWA::LEVEL2.PROOF-LISTP-OF-SUBSETP-WHEN-LEVEL2.PROOF-LISTP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.WORLD-UREWRITE-LIST-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-MODUS-PONENS-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.TWO-DISJOINED-MODUS-PONENS-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-MODUS-PONENS-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.THREE-DISJOINED-MODUS-PONENS-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.PRIMARY-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.NEGATIVE-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.MP-MP2-MP-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-IFF-IF-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-T-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-MP-MP2-MP-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-OF-IF-X-Y-Y-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-T-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-IFF-IF-SPECIALCASE-NIL-BLDR-OKP))
 (4
  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))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-SPECIALCASE-NIL-BLDR-OKP))
 (4
  4
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-IFF-IMPLIES-EQUAL-IF-BLDR-OKP))
 (4
  4
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-EQUAL-OF-IF-X-Y-Y-BLDR-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.DISJOINED-CREWRITE-RULE-LEMMA-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-2-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-RW.DIRECT-IFF-EQTRACE-NHYP-BLDR-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-LEMMA-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE2-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-TWIDDLE-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-RULE-LEMMA-BLDR-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-RW.CREWRITE-CLAUSE-PLAN-COMPILER-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-TRACE-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-2B-OKP))
 (4
   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))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0B-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-NOT-TRACE-LEMMA-0A-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA2-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.COMPILE-CREWRITE-RULE-TRACE-LEMMA1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LIST-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-4-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-3-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-2-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.CCSTEP-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-2-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-EVAL-LEMMA-1-BLDR-OKP))
 (4
   4
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-IFF-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.UPDATE-CLAUSE-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-NEGATIVE-TERM-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.STANDARDIZE-DOUBLE-NEGATIVE-TERM-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SPLIT-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-SPLIT-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.SIMPLE-LIMSPLIT-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.PROVE-ARBITRARY-FORMULA-FROM-ITS-CLAUSE-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.OBVIOUS-TERM-BLDR-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.LIMSPLIT-CUTOFF-BLDR-NICE-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-2-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.FACTOR-BLDR-LEMMA-1-OKP))
 (4
  4
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-UPDATE-CLAUSE-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-SUBSTITUTE-IFF-INTO-LITERAL-BLDR-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-CASES-LEMMA1-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-POSITIVE-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.DISJOINED-AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.CASES-LEMMA1-BLDR-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA2-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-UPDATE-CLAUSE-IFF-LEMMA1-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2A-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-2-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1A-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE2-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-TWIDDLE-LEMMA-1-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-BLDR-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-2-BLDR-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-POSITIVE-1-BLDR-OKP))
 (4
  4
  (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-BLDR-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-2-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-2-BLDR-LEMMA-1-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-2-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-NEGATIVE-1-BLDR-LEMMA-1-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA2-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DOUBLE-NEGATE-LEMMA1-BLDR-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-3-BLDR-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-2-BLDR-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-SPLIT-DEFAULT-1-BLDR-OKP))
 (4
  4
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-LIMSPLIT-CUTOFF-STEP-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-TWIDDLE-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA3-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA2-BLDR-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-CLAUSE.AUX-DISJOINED-UPDATE-CLAUSE-LEMMA1-BLDR-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-IFF-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.TRANSITIVITY-OF-EQUAL-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.SECOND-CONJUNCT-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-EXPANSION-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.RIGHT-ASSOCIATIVITY-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.REFLEXIVITY-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-NIL-FROM-NEGATIVE-LIT-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.PEQUAL-FROM-EQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-T-FROM-NIL-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-NIL-FROM-IFF-T-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-FROM-NOT-EQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-PEQUAL-CONSTANTS-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-NIL-FROM-T-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.NOT-EQUAL-FROM-NOT-PEQUAL-OKP))
 (4
   4
   (:REWRITE
        MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-PEQUAL-NIL-OKP))
 (4
  4
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.NEGATIVE-LIT-FROM-NOT-PEQUAL-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MULTI-ASSOC-EXPANSION-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-LIST-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MODUS-PONENS-2-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-NEGATIVES-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-2-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.MERGE-IMPLICATIONS-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-INSERT-NEG-NEG-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-COMMUTE-OR-THEN-RASSOC-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LHS-CANCEL-NEG-NEG-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.LAMBDA-PEQUAL-BY-ARGS-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.INSERT-NEG-NEG-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-WHEN-NOT-NIL-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-PEQUAL-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-T-FROM-NOT-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-REFLEXIVITY-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IFF-FROM-EQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-SAME-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NOT-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-WHEN-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-T-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.IF-OF-NIL-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-STEP-LEMMA-1-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.GENERIC-SUBSET-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.FIRST-CONJUNCT-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUALITY-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-T-FROM-NOT-NIL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-REFLEXIVITY-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-NIL-FROM-NOT-T-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-FROM-PEQUAL-OKP))
 (4 4
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-BUILD.EQUAL-BY-ARGS-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DUAL-SUBSTITUTION-LEMMA-1-OKP))
 (4
  4
  (:REWRITE
    MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-PEQUAL-LEMMA-1-OKP))
 (4
  4
  (:REWRITE
       MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-IFF-OKP))
 (4
  4
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-TRANSITIVITY-OF-EQUAL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-OKP))
 (4
  4
  (:REWRITE
   MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-SUBSTITUTE-INTO-NOT-PEQUAL-LEMMA-1-OKP))
 (4 4
    (:REWRITE
         MILAWA::FORCING-SOUNDNESS-OF-BUILD.DISJOINED-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::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX-ALT))
 (2
  2
  (:REWRITE
      MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (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::LEVEL10.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL10.PROOF-LISTP-AUX-ALT))
 (2
  2
  (:REWRITE
    MILAWA::LEVEL10.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL10.PROOF-LISTP-AUX))
 (2 2
    (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP-ALT))
 (2 2
    (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP))
 (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::TACTIC.COMPILE-SKELETON-OKP-WHEN-MEMBERP-OF-TACTIC.COMPILE-SKELETON-LIST-OKP-ALT))
 (1
  1
  (:REWRITE
   MILAWA::TACTIC.COMPILE-SKELETON-OKP-WHEN-MEMBERP-OF-TACTIC.COMPILE-SKELETON-LIST-OKP))
 (1
  1
  (:REWRITE
     MILAWA::LEVEL10.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL10.PROOF-LISTP-AUX-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LEVEL10.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL10.PROOF-LISTP-AUX)))
(MILAWA::LEVEL11.STEP-OKP-WHEN-LEVEL10.STEP-OKP
 (1599564 23523
          (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1552518 23523
          (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (207108 23012
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (207108 23012
         (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (142686 47218
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (48078 47218
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (47906 47218
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (47218 47218
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (47218 47218
        (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (47218 47218
        (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (46024 46024
        (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (46024 46024
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (46024 46024
        (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (46024 46024
        (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (46024 46024
        (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (46024 46024
        (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (46024 46024
        (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (46024 46024
        (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (23523 23523
        (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (23523 23523
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (23523 23523
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (23523 23523
        (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (23523 23523
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (23523 23523
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (23523 23523
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (7824 163
       (:REWRITE MILAWA::LEVEL10.STEP-OKP-WHEN-NOT-CONSP))
 (917 917
      (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-THEOREM-SET))
 (917 917
      (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (344 344
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (344 344
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (344 344
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (172 172
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (172 172
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (172 172
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (172 172
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (172 172
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (172 172
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (172 172
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (172 172
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (172 172 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (48 1
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-WHEN-NOT-CONSP))
 (48 1
     (:REWRITE MILAWA::LEVEL9.STEP-OKP-WHEN-NOT-CONSP))
 (48 1
     (:REWRITE MILAWA::LEVEL8.STEP-OKP-WHEN-NOT-CONSP))
 (48 1
     (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-NOT-CONSP))
 (48 1
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-NOT-CONSP))
 (48 1
     (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-NOT-CONSP))
 (48 1
     (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-NOT-CONSP))
 (48 1
     (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-NOT-CONSP))
 (48 1
     (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-NOT-CONSP)))
(MILAWA::LEVEL11.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-ELIM.NAMESP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
     (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::LEVEL11.FLAG-PROOFP-AUX
 (960 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-DEFINITION-LISTP))
 (900 18
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (753 9
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (576 70
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (576
     3
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (459 18
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (450
  6
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (351 9
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (303 8
      (:REWRITE MILAWA::RANK-WHEN-NOT-CONSP))
 (302 67
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (259 70
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (233 26
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (219 24
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (210 4
      (:REWRITE MILAWA::LEVEL11.STEP-OKP-WHEN-NOT-CONSP))
 (200 20
      (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (198 6
      (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (153 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))
 (99 3
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (90 6
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (86 8 (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (76 19
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (76 1
     (:DEFINITION MILAWA::LEVEL11.FLAG-PROOFP-AUX))
 (74 74
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (74 74
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-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-ELIM.NAMESP-ALT))
 (70 70
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (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))
 (61 3
     (:REWRITE MILAWA::RANK-OF-LOGIC.SUBPROOFS-STRONG-VIA-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))
 (48 4
     (:REWRITE MILAWA::LEVEL11.STEP-OKP-WHEN-LEVEL10.STEP-OKP))
 (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))
 (44 4
     (:REWRITE MILAWA::LEVEL10.STEP-OKP-WHEN-LEVEL9.STEP-OKP))
 (40 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (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 4
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
 (27 5
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (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::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (20 20
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (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 1 (:REWRITE MILAWA::ANTISYMMETRY-OF-<))
 (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))
 (13 13
     (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (13 13
     (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (13 13
     (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (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-REMOVE-DUPLICATES-FREE))
 (6 6
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-ORDERED-SUBSETP))
 (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::LEVEL11.PROOFP-AUX)
(MILAWA::LEVEL11.PROOF-LISTP-AUX)
(MILAWA::DEFINITION-OF-LEVEL11.PROOFP-AUX
     (144 3
          (:REWRITE MILAWA::LEVEL11.STEP-OKP-WHEN-NOT-CONSP))
     (45 5
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
     (36 3
         (:REWRITE MILAWA::LEVEL11.STEP-OKP-WHEN-LEVEL10.STEP-OKP))
     (33 3
         (:REWRITE MILAWA::LEVEL10.STEP-OKP-WHEN-LEVEL9.STEP-OKP))
     (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-ELIM.NAMESP-ALT))
     (5 5
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
     (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-LEVEL11.PROOF-LISTP-AUX
 (120 2
      (:REWRITE MILAWA::LEVEL11.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))
 (24 2
     (:REWRITE MILAWA::LEVEL11.STEP-OKP-WHEN-LEVEL10.STEP-OKP))
 (22 2
     (:REWRITE MILAWA::LEVEL10.STEP-OKP-WHEN-LEVEL9.STEP-OKP))
 (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-ELIM.NAMESP-ALT))
 (7 7
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (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::LEVEL11.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-ELIM.NAMESP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
     (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::LEVEL11.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-ELIM.NAMESP-ALT))
     (1 1
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
     (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::LEVEL11.PROOF-LISTP-AUX-OF-CONS
    (264 5
         (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
    (259 6
         (:REWRITE MILAWA::LEVEL11.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-ELIM.NAMESP-ALT))
    (12 12
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
    (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-LEVEL11.PROOFP-AUX
   (1292 19
         (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
   (1254 19
         (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
   (930 31
        (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
   (710 14
        (:REWRITE MILAWA::LEVEL11.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))
   (204 4
        (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
   (186 31
        (:REWRITE MILAWA::BOOLEANP-WHEN-NATP-CHEAP))
   (171 19
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
   (171 19
        (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
   (168 14
        (:REWRITE MILAWA::LEVEL11.STEP-OKP-WHEN-LEVEL10.STEP-OKP))
   (154 14
        (:REWRITE MILAWA::LEVEL10.STEP-OKP-WHEN-LEVEL9.STEP-OKP))
   (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-ELIM.NAMESP-ALT))
   (119 119
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
   (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))
   (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))
   (38 38
       (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
   (38 38
       (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
   (38 38
       (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
   (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-LEVEL11.PROOFP-AUX)
(MILAWA::BOOLEANP-OF-LEVEL11.PROOF-LISTP-AUX)
(MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-LIST-FIX
   (1276 39
         (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
   (1112 116
         (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
   (1005 139
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (763 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))
   (144 3
        (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
   (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-ELIM.NAMESP-ALT))
   (139 139
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
   (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))
   (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))
   (27 3
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
   (27 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))
   (6 6
      (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
   (6 6
      (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
   (6 6
      (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
   (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::LEVEL11.PROOF-LISTP-AUX-OF-APP
   (3504 73
         (:REWRITE MILAWA::APP-WHEN-NOT-CONSP-TWO))
   (3081 72 (:REWRITE MILAWA::CONSP-OF-APP))
   (2997 363
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (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-ELIM.NAMESP-ALT))
   (363 363
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
   (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))
   (279 247
        (: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))
   (144 3
        (:REWRITE MILAWA::LEVEL11.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))
   (63 7
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
   (63 7
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
   (37 1
       (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
   (33 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))
   (14 14
       (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
   (14 14
       (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
   (14 14
       (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
   (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::LEVEL11.PROOF-LISTP-AUX-OF-REV
   (2082 142
         (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
   (1014 142
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
   (796 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))
   (144 3
        (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
   (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-ELIM.NAMESP-ALT))
   (142 142
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
   (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))
   (107 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))
   (27 3
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
   (27 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))
   (6 6
      (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
   (6 6
      (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
   (6 6
      (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
   (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::LEVEL11.PROOFP-AUX-OF-CAR-WHEN-LEVEL11.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))
    (68 1
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
    (67 5
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
    (66 1
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
    (62 5
        (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
    (52 5
        (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
    (37 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-ELIM.NAMESP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
    (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))
    (9 1
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
    (9 1
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
    (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))
    (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))
    (2 2
       (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
    (2 2
       (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
    (2 2
       (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
    (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::LEVEL11.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL11.PROOF-LISTP-AUX
    (120 18
         (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
    (88 18
        (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
    (68 1
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
    (67 18
        (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
    (66 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-ELIM.NAMESP-ALT))
    (18 18
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
    (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))
    (9 1
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
    (9 1
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
    (6 6
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
    (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))
    (2 2
       (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
    (2 2
       (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
    (2 2
       (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
    (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::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX
 (3516 8
       (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
 (1495 42
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (1431 150
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1335 146
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (1020
     6
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (996 150
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (888 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (654 42
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (414 15
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (405 48
      (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (391 14
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (368 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP-ALT))
 (350 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (350 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (338 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (338 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (338 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (338 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (338 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (338 146
      (: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))
 (233 6
      (:REWRITE MILAWA::LEVEL11.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (222 3 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (216 6
      (:REWRITE MILAWA::ELIM.NAMESP-WHEN-NOT-CONSP))
 (191 16
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (191 16
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (186 6
      (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (186 6
      (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (186 6
      (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (186 6
      (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (186 6
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (186 6
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (186 6
      (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (186 6
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (186 6
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (167 167
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (167 167
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (150 150
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (146 146
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (138 45
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (107 37
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (100 16
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (98 33
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (54 3
     (:REWRITE MILAWA::REMOVE-DUPLICATES-OF-CONS))
 (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))
 (40 40
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (37 37
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (37 37
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (37 37
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (37 37
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (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))
 (20 1
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-OF-CONS))
 (20 1
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-OF-CONS))
 (19 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (19 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (16 16
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (16 16
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (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::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (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::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP-ALT))
 (6 6
    (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP))
 (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))
 (4 4
    (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (4 4
    (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (4 4
    (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (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::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX-ALT
 (48 1
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (42 6
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (37 1
     (:REWRITE MILAWA::LEVEL11.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (33 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-ELIM.NAMESP-ALT))
 (3 3
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (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::LEVEL11.PROOF-LISTP-AUX-OF-REMOVE-ALL-WHEN-LEVEL11.PROOF-LISTP-AUX
 (1254 29
       (:REWRITE MILAWA::REMOVE-ALL-OF-NON-MEMBERP))
 (869 23
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-WHEN-NOT-CONSP-LEFT))
 (606 90
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (408 16
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (382 1
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-OF-CONS))
 (373 28
      (:REWRITE MILAWA::REMOVE-ALL-WHEN-NOT-CONSP))
 (358 90
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (344 164
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (307 77
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (240 17
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (240 17
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (203 2 (:REWRITE MILAWA::MEMBERP-OF-CONS))
 (173
    3
    (:REWRITE
         MILAWA::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX))
 (171 11
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (164 164
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (164 164
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (161 3
      (:REWRITE MILAWA::MEMBERP-OF-REMOVE-ALL))
 (153 10
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (144 3
      (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
 (143 23
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-WHEN-MEMBERP))
 (137 7
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (121 17
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (104 1
      (:REWRITE MILAWA::DISJOINTP-WHEN-SUBSETP-OF-OTHER-TWO))
 (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-ELIM.NAMESP-ALT))
 (90 90
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (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))
 (89 1
     (:REWRITE MILAWA::DISJOINTP-WHEN-SUBSETP-OF-OTHER-ONE))
 (85 5
     (:REWRITE MILAWA::DISJOINT-FROM-ALLP-OF-CDR-WHEN-DISJOINT-FROM-ALLP))
 (83 4
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (68 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))
 (47 7
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (47 7
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (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))
 (33 1
     (:REWRITE MILAWA::DISJOINTP-WHEN-NOT-CONSP-TWO))
 (33 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))
 (22 4
     (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (20 1
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-OF-CONS))
 (20 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 10
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (10 10
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (10 10
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (10 10
     (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (10 10
     (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (10 10
     (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (10 4
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (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::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (2 2
    (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (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::LEVEL11.PROOF-LISTP-AUX-OF-REMOVE-DUPLICATES
 (1500 3 (:REWRITE MILAWA::UNIQUEP-OF-CONS))
 (1344 218
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (1242 62
       (:REWRITE MILAWA::UNIQUEP-WHEN-NOT-CONSP))
 (942 41
      (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (935 65
      (:REWRITE MILAWA::UNIQUEP-WHEN-UNIQUEP-OF-DOMAIN))
 (750 35
      (:REWRITE MILAWA::CONSP-OF-REMOVE-DUPLICATES))
 (610 167
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (485 167
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (477 3
      (:REWRITE MILAWA::MUTUALLY-DISJOINTP-OF-CONS))
 (469 253
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (375 3
      (:REWRITE MILAWA::UNIQUEP-OF-DOMAIN-WHEN-ORDERED-MAPP))
 (323 35
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (273 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-MEMBERP-OF-ELIM.NAMESP-ALT))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (218 218
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (198 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))
 (153 10
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (144 3
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-WHEN-NOT-CONSP-LEFT))
 (144 3
      (:REWRITE MILAWA::DISJOINT-FROM-ALLP-WHEN-NOT-CONSP))
 (99 3
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (99 3
     (:REWRITE MILAWA::DOMAIN-WHEN-NOT-CONSP))
 (96 2
     (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
 (82 2
     (:REWRITE MILAWA::MEMBERP-OF-REMOVE-DUPLICATES))
 (78 26
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (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))
 (27 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (27 3
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (26 26 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (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))
 (6 6
    (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (6 6
    (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (6 6
    (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (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::LEVEL11.PROOF-LISTP-AUX-OF-DIFFERENCE-WHEN-LEVEL11.PROOF-LISTP-AUX
 (856 23
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (621 23
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (570 78
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (549
    3
    (:REWRITE
         MILAWA::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX))
 (537 3
      (:REWRITE MILAWA::MEMBERP-OF-DIFFERENCE))
 (424 130
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (373 28
      (:REWRITE MILAWA::DIFFERENCE-WHEN-NOT-CONSP))
 (360 5 (:REWRITE MILAWA::SUBSETP-OF-CDR))
 (323 75
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (311 130
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (285 62
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (280 27
      (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (204 12
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (162 28
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (156 26
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (148 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (144 3
      (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
 (130 130
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (125 5
      (: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-ELIM.NAMESP-ALT))
 (78 78
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (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))
 (67 7
     (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (67 7
     (: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))
 (33 7
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (32 7
     (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (29 29
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (28 28
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (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))
 (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))
 (18 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (18 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (18 1
     (:REWRITE MILAWA::REMOVE-DUPLICATES-OF-CONS))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-OF-DIFFERENCE))
 (12 12
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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))
 (7 7
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (7 7
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (6 6 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (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))
 (4 4
    (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (4 4
    (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (4 4
    (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (3
  3
  (:REWRITE
     MILAWA::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-IS-REFLEXIVE)))
(MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL11.PROOF-LISTP-AUX
 (277 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (276 34
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (146 26
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (145 11
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (140 10
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (115 26
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (97 61
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (93 10
     (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (63 61
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (61 61
     (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (53 6
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (48 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))
 (39 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-ELIM.NAMESP-ALT))
 (34 34
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (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))
 (18 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (18 2
     (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (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))
 (11 11
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (11 11
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (11 11
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (11 11
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (11 11
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (10 10
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (10 10
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (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::LEVEL11.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL11.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))
 (4 4
    (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (4 4
    (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (4 4
    (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (2 2
    (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (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::LEVEL11.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL11.PROOF-LISTP-AUX-ALT
     (48 1
         (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
     (48 1
         (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
     (48 1
         (:REWRITE MILAWA::LEVEL11.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))
     (10 1
         (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
     (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-ELIM.NAMESP-ALT))
     (3 3
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
     (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::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
     (1 1
        (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
     (1 1
        (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
     (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))
     (1 1
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
     (1 1
        (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
     (1 1
        (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
     (1 1
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
     (1 1
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
     (1 1
        (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS)))
(MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-REPEAT
 (1932 16 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (1604 51
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (1523 28
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (1267 7
       (:REWRITE MILAWA::MINUS-WHEN-NOT-LESS))
 (624 13
      (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
 (551 5 (:REWRITE MILAWA::|(< a (- b c))|))
 (488 8 (:REWRITE MILAWA::CONSP-OF-REPEAT))
 (327 67
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (256 1 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (241 66
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (228 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))
 (73 3
     (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (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-ELIM.NAMESP-ALT))
 (67 67
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (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))
 (53 1
     (:REWRITE MILAWA::REMOVE-DUPLICATES-OF-CONS))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (51 51
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (51 51
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (50 50
     (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (50 50
     (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (50 50
     (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (44 44
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (44 44
     (: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))
 (28 1 (:REWRITE MILAWA::LESS-OF-NFIX-RIGHT))
 (21 21 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (21 8
     (:REWRITE MILAWA::NFIX-WHEN-NOT-NATP-CHEAP))
 (20 1 (:REWRITE MILAWA::|(< (- a b) c)|))
 (15 5 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (14
  14
  (:REWRITE
     MILAWA::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (13 13
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (13 13
     (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP-ALT))
 (13 13
     (:REWRITE MILAWA::<-WHEN-MEMBERP-OF-ALL-AT-LEASTP))
 (12 12
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-FOUR))
 (12
  12
  (:REWRITE
   MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL11.PROOF-LISTP-AUX-ALT))
 (12 8 (:REWRITE MILAWA::NFIX-WHEN-ZP-CHEAP))
 (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 4
    (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (4 1
    (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (3 3
    (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (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))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (1 1
    (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (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-LOGIC.ALL-TERMS-LARGER-CHEAP)))
(MILAWA::LEMMA-FOR-LOGIC.PROVABLEP-WHEN-LEVEL11.PROOFP-AUX
 (8051 1115
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (7746 266
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (7548 204
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (4641 357
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (4641 357
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (4242 782
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (3651 303
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3340 80
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (2202 231
       (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (2142 357
       (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (1960 80
       (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (1853 9
       (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (1484 7
       (:REWRITE MILAWA::MAPP-WHEN-LOGIC.ARITY-TABLEP))
 (1239
     7
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (1222 1158
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (976 33
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (836 84
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (826
  9
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (790 790
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (790 790
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP-ALT))
 (786 786
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (782 782
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (782 782
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (782 782
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (782 782
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (782 782
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (782 782
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (782 782
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (782 782
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (782 782
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (744 744
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (744 744
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (742 742
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (742 742
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (733 260
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (724 313
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (703 19
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-SECOND-WHEN-LOGIC.APPEAL-LISTP))
 (646 19
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (625
  14
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LIST-ATBLP-ALT))
 (553 33
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (507
  2
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-SECOND-WHEN-LOGIC.PROVABLE-LISTP))
 (500 20 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (436 84
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (433 11
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (433 11
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (357
  357
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (357 357
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (357 357
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (357 357
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (357 357
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (357 357
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (357 357
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (357
   357
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (357
  357
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (357 357
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (357 357
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (357 357
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (357
  357
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (357 357
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (357 357
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (357 357
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (357 357
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (357 357
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (357 357
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (357 357
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (357
  357
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (357 357
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (357
  357
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (357
  357
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (357
  357
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (357 7
      (:REWRITE MILAWA::MAPP-WHEN-ELIM.NAMESP))
 (336 7
      (:REWRITE MILAWA::ELIM.NAMESP-WHEN-NOT-CONSP))
 (303 303
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (303 303
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (303 303
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (303 303
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (303 303
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (283
    14
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (266 266
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (266 7
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (252 7
      (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (252 7
      (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (252 7
      (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (252 7
      (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (252 7
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (240 40
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (231 7
      (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (231 7
      (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (231 7
      (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (231 7
      (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (231 7
      (:REWRITE MILAWA::MAPP-WHEN-NOT-CONSP))
 (231 7
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (231 7
      (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (231 7
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (219 219
      (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (219 219
      (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (219 219
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (203 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL2.PROOF-LISTP))
 (192 4
      (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (192 4
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (192 4
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (184
  10
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (166 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL7.PROOF-LISTP-AUX))
 (166 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL3.PROOF-LISTP-AUX))
 (156 48
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (152 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (152 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL8.PROOF-LISTP-AUX))
 (152 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL6.PROOF-LISTP-AUX))
 (152 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL5.PROOF-LISTP-AUX))
 (152 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL4.PROOF-LISTP-AUX))
 (152 11
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL10.PROOF-LISTP-AUX))
 (123 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL10.PROOFP-AUX))
 (119 9
      (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (115 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL2.PROOFP))
 (112 112
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (112 112
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (112 112
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (112 112
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (112 112
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (106 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP-AUX))
 (106 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP-AUX))
 (102 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL9.PROOFP-AUX))
 (102 9
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP-AUX))
 (100 9
      (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL3.STEP-OKP))
 (100 9
      (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL2.STEP-OKP))
 (99 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP-AUX))
 (99 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP-AUX))
 (99 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP-AUX))
 (97 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL9.PROOFP))
 (97 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP))
 (97 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP))
 (97 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL6.PROOFP))
 (97 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL5.PROOFP))
 (97 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL4.PROOFP))
 (97 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP))
 (97 9
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL10.PROOFP))
 (96 2
     (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
 (94 94
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (94 94
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (94 94
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (94 94
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (94 94
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (94 94
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (94 94
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (94 94
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (94 94 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (90 21
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (88 88
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (88 88
     (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (88 88
     (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (88 88
     (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (83 14
     (:REWRITE MILAWA::LEVEL2.PROOF-LISTP-WHEN-NOT-CONSP))
 (82 9
     (:REWRITE MILAWA::LEVEL7.STEP-OKP-WHEN-LEVEL6.STEP-OKP))
 (80 80
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (80 80
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (80 16
     (:REWRITE MILAWA::LEVEL6.STEP-OKP-WHEN-LEVEL5.STEP-OKP))
 (76 7
     (:REWRITE MILAWA::LEVEL9.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (76 7
     (:REWRITE MILAWA::LEVEL8.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (76 7
     (:REWRITE MILAWA::LEVEL7.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (76 7
     (:REWRITE MILAWA::LEVEL6.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (76 7
     (:REWRITE MILAWA::LEVEL5.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (76 7
     (:REWRITE MILAWA::LEVEL4.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (76 7
     (:REWRITE MILAWA::LEVEL3.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (76 7
     (:REWRITE MILAWA::LEVEL10.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (76 7 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (73 4
     (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (71 16
     (:REWRITE MILAWA::LEVEL5.STEP-OKP-WHEN-LEVEL4.STEP-OKP))
 (71 9
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL7.STEP-OKP))
 (70 10
     (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (66 2
     (:REWRITE MILAWA::LEVEL11.STEP-OKP-WHEN-NOT-CONSP))
 (63 63
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (62 16
     (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-LEVEL3.STEP-OKP))
 (60 60
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (60 60
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (60 20 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (49 12
     (:REWRITE MILAWA::LEVEL3.STEP-OKP-WHEN-LEVEL2.STEP-OKP))
 (49 2
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (48 48 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (48 48 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (48 48
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (47 21
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (45 45
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (43
  43
  (:REWRITE
     MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP-ALT))
 (43
    43
    (:REWRITE
         MILAWA::LOGIC.APPEAL-LISTP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LIST-LISTP))
 (40 40
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (40 40
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (40 40
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (40 12
     (:REWRITE MILAWA::LEVEL2.STEP-OKP-WHEN-LOGIC.APPEAL-STEP-OKP))
 (36 36
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (36 36
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (36 36
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (36 36
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (36 36
     (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (34 34
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (32 17
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (28 2
     (:REWRITE MILAWA::LEVEL11.STEP-OKP-WHEN-LEVEL10.STEP-OKP))
 (26 21
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-IN-LARGER-AXIOM-SET))
 (26 2
     (:REWRITE MILAWA::LEVEL10.STEP-OKP-WHEN-LEVEL9.STEP-OKP))
 (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 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-LIST-ATBLP-OF-REMOVE-DUPLICATES-FREE))
 (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 13
     (:REWRITE
          MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (13
   5
   (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-LOGIC.SUBPROOFS-WHEN-LOGIC.PROOFP))
 (12 12
     (:REWRITE MILAWA::ORDERED-SUBSETP-OF-CDR-WHEN-ORDERED-SUBSETP))
 (12
  12
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-REMOVE-DUPLICATES-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (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))
 (9 9
    (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL9.STEP-OKP))
 (9 9
    (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL8.STEP-OKP))
 (9 9
    (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL10.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-TACTIC.CONDITIONAL-EQSUBST-LEMMA1-OKP))
 (9 9
    (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-TACTIC.COMPILE-SKELETON-OKP))
 (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.CREWRITE-CLAUSE-PLAN-COMPILER-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::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX-ALT))
 (7
  7
  (:REWRITE
      MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (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::LEVEL10.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL10.PROOF-LISTP-AUX-ALT))
 (7
  7
  (:REWRITE
    MILAWA::LEVEL10.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL10.PROOF-LISTP-AUX))
 (7 7
    (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP-ALT))
 (7 7
    (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP))
 (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::LEVEL11.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL11.PROOF-LISTP-AUX-ALT))
 (4 1
    (:REWRITE MILAWA::LEVEL9.PROOFP-AUX-OF-CAR-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (4 1
    (:REWRITE
         MILAWA::LEVEL9.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL9.PROOF-LISTP-AUX))
 (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))
 (4
   1
   (:REWRITE MILAWA::LEVEL10.PROOFP-AUX-OF-CAR-WHEN-LEVEL10.PROOF-LISTP-AUX))
 (4
   1
   (:REWRITE
        MILAWA::LEVEL10.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL10.PROOF-LISTP-AUX))
 (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
  3
  (:REWRITE
     MILAWA::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX-ALT))
 (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::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::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))
 (1
  1
  (:REWRITE
     MILAWA::LEVEL10.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL10.PROOF-LISTP-AUX-ALT))
 (1
   1
   (:REWRITE
        MILAWA::LEVEL10.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL10.PROOF-LISTP-AUX)))
(MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL11.PROOFP-AUX)
(MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL11.PROOF-LISTP-AUX)
(MILAWA::LEMMA-FOR-LEVEL11.PROOFP-AUX-WHEN-LOGIC.PROOFP
 (1414 37
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (927 56
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (897 52
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (850 37
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (753 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (466 45
      (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (449 9
      (:REWRITE MILAWA::LEVEL11.STEP-OKP-WHEN-NOT-CONSP))
 (374 87
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (357 116
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (216 144
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (202 2 (:REWRITE MILAWA::SUBSETP-OF-CONS))
 (157 40
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (156 3
      (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
 (145 145
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (145 145
      (: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-ELIM.NAMESP-ALT))
 (117 117
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (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))
 (117 13
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (117 13
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (81 2
     (:REWRITE MILAWA::LOGIC.APPEAL-STEP-OKP-WHEN-NOT-CONSP))
 (73 9 (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (56 56
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (56 56
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (56 56
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (56 56
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (56 56
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (52 52
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (51 17
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (48 1
     (:REWRITE MILAWA::LOGIC.PROOFP-WHEN-NOT-CONSP))
 (47 47
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (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))
 (45 45
     (:REWRITE MILAWA::REMOVE-DUPLICATES-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))
 (36 2
     (:REWRITE MILAWA::REMOVE-DUPLICATES-OF-CONS))
 (34 34
     (:REWRITE MILAWA::FORCING-TRUE-LISTP-OF-LOGIC.SUBPROOFS))
 (28
  28
  (:REWRITE
   MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL11.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))
 (26 26
     (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (26 26
     (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (26 26
     (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (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))
 (16
   6
   (:REWRITE
        MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL11.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))
 (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::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.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::LEVEL11.PROOFP-AUX-OF-CAR-WHEN-LEVEL11.PROOF-LISTP-AUX))
 (3
  3
  (:REWRITE
     MILAWA::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX-ALT))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2 2
    (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2 2
    (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE)))
(MILAWA::LEVEL11.PROOFP-AUX-WHEN-LOGIC.PROOFP)
(MILAWA::LEVEL11.PROOF-LISTP-AUX-WHEN-LOGIC.PROOF-LISTP)
(MILAWA::FORCING-LEVEL11.PROOFP-AUX-OF-LOGIC.PROVABLE-WITNESS
 (48 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-ELIM.NAMESP-ALT))
 (1 1
    (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (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::LEVEL11.STATIC-CHECKSP
 (2049 315
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2040 51
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (1931 61
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (1131 164
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (796 26
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (766 16
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (663 51
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (663 51
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (520 20
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (315 315
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (315 315
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (306 51
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (278 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (229 3
      (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP))
 (200 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (192
     1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (165 165
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (165 165
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (164 164
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (154 154
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (131 6
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (129 44
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (128
  2
  (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-SUBSETP-WHEN-LOGIC.FORMULA-LISTP))
 (125 5 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (113 3
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (112 44
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (100 20
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (62 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (61 61
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (60 10
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (60 6
     (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (54 1
     (:REWRITE MILAWA::MAPP-WHEN-ELIM.NAMESP))
 (51
  51
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (51
   51
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (51
  51
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (51
  51
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (51 51
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (51 51
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (51 51
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (51 51
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (51 51
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (51 51
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (51
  51
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (51 51
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (51
  51
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (51
  51
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (51
  51
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (51 1
     (:REWRITE MILAWA::ELIM.NAMESP-WHEN-NOT-CONSP))
 (38 1
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (36 6
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (33 1
     (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (26 26
     (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (26 26
     (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (26 26
     (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (24 6
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (20 20
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (20 20
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (20 20
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (20 20
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (20 20
     (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (20 20
     (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (20 20
     (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (17 17
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (17 17 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (16 16
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (15 5 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (10 10 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (10 10 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (10 10
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (6 6
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (6 6
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (6 6
    (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (6 6
    (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (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))
 (3 3
    (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-REMOVE-DUPLICATES-FREE))
 (3 3
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (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))
 (1 1
    (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP-ALT))
 (1 1
    (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP)))
(MILAWA::LEVEL11.PROOFP
 (4070 138
       (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (3885 70
       (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (3699 576
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (3315 255
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (3315 255
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (3199 328
       (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (2807 1167
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (2600 100
       (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (1766 43
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (1612 48
       (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (1565 43
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (1530 255
       (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (1460 10
       (:REWRITE MILAWA::ORDERED-LISTP-WHEN-ORDERED-MAPP))
 (1339 466
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (1315 48
       (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (1223 390
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (1167 1167
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (1167 1167
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (1085 5
       (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (1055 255
       (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (1054 106
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (997 12
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (940 10
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (900 10
      (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP))
 (847 15
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (810 15
      (:REWRITE MILAWA::MAPP-WHEN-ELIM.NAMESP))
 (790 10
      (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP-OF-CDR))
 (765 15
      (:REWRITE MILAWA::ELIM.NAMESP-WHEN-NOT-CONSP))
 (750 5
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (750 5
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (705 15
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (655 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (625 25 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (615 20
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (600 15
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (597 597
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (597 597
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (576 576
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (570 15
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (554 106
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (540 15
      (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (540 15
      (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (540 15
      (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (540 15
      (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (540 15
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (510 10
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (503 503
      (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (503 503
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (495 15
      (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (495 15
      (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (495 15
      (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (495 15
      (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (495 15
      (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (495 15
      (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (465 5
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-SECOND-WHEN-LOGIC.APPEAL-LISTP))
 (445 15
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (430 154
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (328 328
      (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (321 33
      (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (300 50
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (280 15
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-CDR-WHEN-LOGIC.APPEAL-LISTP))
 (255
  255
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (255 255
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (255 255
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (255 255
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (255 255
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (255 255
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (255 255
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (255
   255
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (255
  255
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (255 255
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (255 255
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (255 255
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (255
  255
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (255 255
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (255 255
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (255 255
      (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (255 255
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (255 255
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (255 255
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (255 255
      (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (255
  255
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (255 255
      (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (255
  255
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (255
  255
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (255
  255
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (255 5
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (255 5
      (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (247
    13
    (:REWRITE MILAWA::DEFINITION-LISTP-OF-SUBSETP-WHEN-DEFINITION-LISTP-ALT))
 (235
  5
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (230 230
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (230 230
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (230 230
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (220 5
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-WHEN-NOT-CONSP))
 (185 5
      (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (148 148
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (148 148
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (148 148
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (148 148
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (148 148 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (138 138
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (138 138
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (138 138
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (138 138
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (138 138
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (138 138
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (137 137
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (120 120
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (120 120
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (120 120
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (120 120
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (112 112
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (112 112
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (112 112
      (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (112 112
      (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (112 112
      (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (100 100
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (93 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (75 75
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (75 75
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (75 25 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (70 70
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (66 2
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-WHEN-NOT-CONSP))
 (62 62 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (62 62 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (62 62
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (60 20
     (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (57 15
     (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (51 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-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))
 (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))
 (37 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))
 (33 1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (32 32
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (32 32
     (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (32 32
     (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (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))
 (21 15
     (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (20 20 (:REWRITE MILAWA::TRUE-LISTP-OF-CDR))
 (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))
 (19 19
     (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (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 15
     (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP-ALT))
 (15 15
     (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP))
 (11 11
     (:REWRITE MILAWA::LOGIC.FORMULA-LISTP-OF-REMOVE-DUPLICATES-FREE))
 (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-LIST-ATBLP-OF-REMOVE-DUPLICATES-FREE))
 (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-LEVEL11.PROOFP
 (935 28
      (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (896 16
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (691 68
      (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (663 51
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (663 51
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (636 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (522 194
      (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (511 22 (:DEFINITION NOT))
 (490 20
      (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (411 9
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (399 9
      (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (373 12
      (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (337 12
      (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (306 51
      (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (280 2
      (:REWRITE MILAWA::ORDERED-LISTP-WHEN-ORDERED-MAPP))
 (273 91
      (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (264 1
      (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
 (242 73
      (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (227 23
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (217 51
      (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (212 1
      (:REWRITE MILAWA::MAPP-WHEN-LOGIC.ARITY-TABLEP))
 (208 1
      (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (203 5
      (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (195 5
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (194 194
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (194 194
      (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (182 2
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (177
     1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (171 2
      (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP))
 (152 2
      (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP-OF-CDR))
 (144 1
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (144 1
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (134 1
      (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (128 1
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (127 23
      (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (127 3
      (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (125 125
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (125 125
      (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (125 5 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (122
   1
   (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-OF-CAR-WHEN-LEVEL11.PROOF-LISTP-AUX))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (120 120
      (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (119 119
      (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (118 32
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (114 4
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (113 3
      (:REWRITE MILAWA::LEVEL11.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (97 97
     (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (96 2
     (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (93 3 (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (87 1
     (:REWRITE MILAWA::LOGIC.APPEALP-OF-SECOND-WHEN-LOGIC.APPEAL-LISTP))
 (83
   2
   (:REWRITE
        MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL11.PROOF-LISTP-AUX))
 (69 3
     (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (68 68
     (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (60 10
     (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (53 3
     (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-CDR-WHEN-LOGIC.APPEAL-LISTP))
 (51
  51
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (51
   51
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (51
  51
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (51 51
     (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (51
  51
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (51 51
     (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (51 51
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (51 51
     (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-ONE))
 (51 51
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (51 51
     (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (51 51
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (51 51
     (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (51
  51
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (51 51
     (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (51
  51
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (51
  51
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (51
  51
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (51 1
     (:REWRITE MILAWA::MAPP-WHEN-ELIM.NAMESP))
 (50 5
     (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (49 49
     (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (48 1
     (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (48 1
     (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (48 1
     (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (48 1
     (:REWRITE MILAWA::ELIM.NAMESP-WHEN-NOT-CONSP))
 (44
  1
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (41 1
     (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-WHEN-NOT-CONSP))
 (38 1
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (37 1
     (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (37 1
     (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (36 1
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (33 1
     (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::MAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (33 1
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (32 32
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (31 31
     (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (31 31
     (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (31 31
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (31 31
     (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (31 31 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (30 5
     (:REWRITE MILAWA::SUBSETP-WHEN-ORDERED-SUBSETP))
 (30 1
     (:REWRITE MILAWA::BOOLEANP-WHEN-CONSP-CHEAP))
 (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 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (26 26
     (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (26 26
     (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (26 26
     (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (26 26
     (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (24 24
     (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (20 20
     (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (16 16 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (16 16 (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (16 16
     (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (16 16
     (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (15 15
     (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (15 5 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (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::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::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (10 10
     (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (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::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (5 5
    (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (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::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::SUBSETP-TRANSITIVE-TWO))
 (3 3
    (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (3
  3
  (:REWRITE
   MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL11.PROOF-LISTP-AUX-ALT))
 (3
  3
  (:REWRITE
    MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL11.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))
 (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-LISTP-OF-REMOVE-DUPLICATES-FREE))
 (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-LIST-ATBLP-OF-REMOVE-DUPLICATES-FREE))
 (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::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX-ALT))
 (1 1
    (:REWRITE
         MILAWA::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX))
 (1 1
    (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP-ALT))
 (1 1
    (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP))
 (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-LEVEL11.PROOFP
 (30498 2346
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUPERSET-OF-SOMEP-CHEAP))
 (30498 2346
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-SUBSET-OF-SOMEP-CHEAP))
 (23737 6433
        (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-CDR))
 (21377 2703
        (:REWRITE MILAWA::CDR-WHEN-NOT-CONSP))
 (16499 571
        (:REWRITE MILAWA::SAME-LENGTH-PREFIXES-EQUAL-CHEAP))
 (15862 372
        (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-TWO))
 (15264 72
        (:REWRITE MILAWA::MAPP-WHEN-LOGIC.ARITY-TABLEP))
 (14337 2987
        (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (14076 2346
        (:REWRITE MILAWA::MEMBERP-WHEN-LOGIC.ALL-TERMS-LARGER-CHEAP))
 (13179 2295
        (:REWRITE MILAWA::MEMBERP-WHEN-NOT-CONSP))
 (12744
     72
     (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP))
 (7595 310
       (:REWRITE MILAWA::LOOKUP-WHEN-NOT-CONSP))
 (7440 160
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP-TWO))
 (7002 229
       (:REWRITE MILAWA::CAR-WHEN-NOT-CONSP))
 (6849 6433
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-TWO))
 (6433 6433
       (:REWRITE MILAWA::IN-SUPERSET-WHEN-IN-SUBSET-ONE))
 (5797 2195
       (:REWRITE MILAWA::CONSP-WHEN-NATP-CHEAP))
 (5451 2298
       (:REWRITE MILAWA::CONSP-WHEN-TRUE-LISTP-CHEAP))
 (4166 769
       (:REWRITE MILAWA::TRUE-LISTP-WHEN-NOT-CONSP))
 (3672 72
       (:REWRITE MILAWA::MAPP-WHEN-ELIM.NAMESP))
 (3456 72
       (:REWRITE MILAWA::ELIM.NAMESP-WHEN-NOT-CONSP))
 (3436 352
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS-TWO))
 (3408 71
       (:REWRITE MILAWA::TUPLEP-WHEN-TRUE-LISTP))
 (3093 3093
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-REWRITE.SYNTAXP-ARITY-TABLE))
 (3093 3093
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-OF-LOGIC.INITIAL-ARITY-TABLE))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP-ALT))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.TYPED-RULEMAPP))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP-ALT))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.THEORY-MAPP))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP-ALT))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.FAST-CACHEMAPP))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP-ALT))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-RW.CACHEMAPP))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP-ALT))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAPP))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP-ALT))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.CALLMAP-ATBLP))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP-ALT))
 (2992 2992
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-ELIM.NAMESP))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP-ALT))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-NONE-CONSP))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP-ALT))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMAP))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP-ALT))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.SIGMA-ATBLP))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP-ALT))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP-ALT))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-OF-CONS-LISTP))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.LAMBDAP-CHEAP))
 (2987 2987
       (:REWRITE MILAWA::CONSP-WHEN-LOGIC.FUNCTIONP-CHEAP))
 (2912 160
       (:REWRITE MILAWA::SUBSETP-WHEN-NOT-CONSP))
 (2839 64
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-NONE-CONSP))
 (2736 72
       (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMAP))
 (2703 2703
       (:REWRITE MILAWA::CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (2627 71
       (:REWRITE MILAWA::TUPLEP-WHEN-NOT-CONSP))
 (2621 64
       (:REWRITE MILAWA::CONSP-OF-CAR-WHEN-CONS-LISTP))
 (2603 74
       (:REWRITE MILAWA::NONE-CONSP-WHEN-NOT-CONSP))
 (2592 72
       (:REWRITE MILAWA::MAPP-WHEN-RW.TYPED-RULEMAPP))
 (2592 72
       (:REWRITE MILAWA::MAPP-WHEN-RW.THEORY-MAPP))
 (2592 72
       (:REWRITE MILAWA::MAPP-WHEN-RW.FAST-CACHEMAPP))
 (2592 72
       (:REWRITE MILAWA::MAPP-WHEN-RW.CACHEMAPP))
 (2592 72
       (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAPP))
 (2575 2575
       (:REWRITE MILAWA::CONSP-WHEN-NONEMPTY-SUBSET-CHEAP))
 (2575 2575
       (:REWRITE MILAWA::CONSP-WHEN-MEMBERP-CHEAP))
 (2376 72
       (:REWRITE MILAWA::RW.TYPED-RULEMAPP-WHEN-NOT-CONSP))
 (2376 72
       (:REWRITE MILAWA::RW.THEORY-MAPP-WHEN-NOT-CONSP))
 (2376 72
       (:REWRITE MILAWA::RW.FAST-CACHEMAPP-WHEN-NOT-CONSP))
 (2376 72
       (:REWRITE MILAWA::RW.CACHEMAPP-WHEN-NOT-CONSP))
 (2376 72
       (:REWRITE MILAWA::MAPP-WHEN-NOT-CONSP))
 (2376 72
       (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-NOT-CONSP))
 (2376 72
       (:REWRITE MILAWA::LOGIC.CALLMAPP-WHEN-NOT-CONSP))
 (2376 72
       (:REWRITE MILAWA::LOGIC.ARITY-TABLEP-WHEN-NOT-CONSP))
 (2346
  2346
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER-ALT))
 (2346
      2346
      (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUPERSET-OF-SOMEP-OF-SMALLER))
 (2346 2346
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2346 2346
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2346 2346
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2346 2346
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-OBVIOUS))
 (2346 2346
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2346
   2346
   (:REWRITE
        MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP-ALT))
 (2346
  2346
  (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUPERSET-OF-SOMEP))
 (2346 2346
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-FIND-SUBSET))
 (2346 2346
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP-ALT))
 (2346 2346
       (:REWRITE MILAWA::SUPERSET-OF-SOMEP-WHEN-ALL-SUPERSET-OF-SOMEP))
 (2346 2346
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO-ALT))
 (2346 2346
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSETP-TWO))
 (2346
      2346
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER-ALT))
 (2346 2346
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-SUBSET-OF-SOMEP-OF-SMALLER))
 (2346 2346
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS-ALT))
 (2346 2346
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-OBVIOUS))
 (2346 2346
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-NOT-CONSP))
 (2346
  2346
  (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP-ALT))
 (2346
      2346
      (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-MEMBERP-OF-ALL-SUBSET-OF-SOMEP))
 (2346 2346
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-FIND-SUPERSET))
 (2346 2346
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP-ALT))
 (2346 2346
       (:REWRITE MILAWA::SUBSET-OF-SOMEP-WHEN-ALL-SUBSET-OF-SOMEP))
 (2346 2346
       (:REWRITE MILAWA::NOT-IN-SUBSET-WHEN-NOT-IN-SUPERSET-TWO))
 (2346 2346
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP-ALT))
 (2346 2346
       (:REWRITE MILAWA::MEMBERP-WHEN-MEMBERP-OF-MEMBER-OF-NONEP))
 (2346 2346
       (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-TWO))
 (2346 2346
       (:REWRITE MILAWA::MEMBERP-WHEN-DISJOINTP-ONE))
 (2346
  2346
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-LOGIC.ALL-TERMS-LARGERP-BADGUY))
 (2346 2346
       (:REWRITE MILAWA::LOGIC.ALL-TERMS-LARGERP-WHEN-NOT-CONSP))
 (2346
  2346
  (:REWRITE
   MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP-ALT))
 (2346
  2346
  (:REWRITE
    MILAWA::LOGIC.ALL-TERMS-LARGERP-OF-SUBSETP-WHEN-LOGIC.ALL-TERMS-LARGERP))
 (2346
  2346
  (:REWRITE
       MILAWA::ALL-TERMS-LARGER-WHEN-ALL-TERMS-LARGER-THAN-SOMETHING-BIGGER))
 (2237 74
       (:REWRITE MILAWA::CONS-LISTP-WHEN-NOT-CONSP))
 (2196 225
       (:REWRITE MILAWA::SUBSETP-OF-REMOVE-DUPLICATES-ONE-INDIRECT))
 (2096 352
       (:REWRITE MILAWA::NOT-EQUAL-WHEN-LESS))
 (1960 14
       (:REWRITE MILAWA::ORDERED-LISTP-WHEN-ORDERED-MAPP))
 (1791 11
       (:REWRITE MILAWA::LOGIC-PROVABLEP-IN-LARGER-AXIOM-SET))
 (1675 67 (:REWRITE MILAWA::LESS-OF-ONE-LEFT))
 (1490 7
       (:REWRITE MILAWA::TACTIC.WORLD-LISTP-WHEN-NOT-CONSP))
 (1452
  8
  (:REWRITE
   MILAWA::LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-PROVABLE-FIRST-AND-REST))
 (1345 10
       (:REWRITE MILAWA::DEFINITION-LISTP-WHEN-NOT-CONSP))
 (1274 14
       (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP-OF-CDR))
 (1261
    11
    (:REWRITE MILAWA::LOGIC.PROVABLEP-OF-CAR-WHEN-LOGIC.PROVABLE-LISTP-FREE))
 (1197 14
       (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP))
 (1148 9
       (:REWRITE MILAWA::LOGIC.FORMULA-LIST-ATBLP-WHEN-NOT-CONSP))
 (1064 14
       (:REWRITE MILAWA::MERGESORT-WHEN-NOT-CONSP-OF-CDR))
 (1032 24
       (:REWRITE MILAWA::NONE-CONSP-OF-CDR-WHEN-NONE-CONSP))
 (962 6
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ATBLP-WHEN-NOT-CONSP))
 (945 24
      (:REWRITE MILAWA::CONS-LISTP-OF-CDR-WHEN-CONS-LISTP))
 (930 155
      (:REWRITE MILAWA::CONSP-OF-LOOKUP-UNDER-IFF))
 (872 872
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-TUPLEP))
 (872 872
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP-ALT))
 (872 872
      (:REWRITE MILAWA::TRUE-LISTP-WHEN-MEMBERP-OF-TRUE-LIST-LISTP))
 (824 3
      (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-WHEN-NOT-CONSP))
 (818 5
      (:REWRITE MILAWA::TACTIC.WORLD-LIST-ENV-OKP-WHEN-NOT-CONSP))
 (699 46
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-WHEN-NOT-CONSP))
 (690 690
      (:REWRITE MILAWA::NATP-WHEN-ZP-CHEAP))
 (690 690
      (:REWRITE MILAWA::NATP-WHEN-NOT-ZP-CHEAP))
 (690 690
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP-ALT))
 (690 690
      (:REWRITE MILAWA::NATP-WHEN-MEMBERP-OF-NAT-LISTP))
 (690 690 (:REWRITE MILAWA::NATP-OF-LEN-FREE))
 (672 14
      (:REWRITE MILAWA::ORDERED-MAPP-WHEN-NOT-CONSP))
 (622 160
      (:REWRITE MILAWA::SUBSETP-WHEN-PREFIXP-CHEAP))
 (571 571
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP-ALT))
 (571 571
      (:REWRITE MILAWA::EQUAL-WHEN-MEMBERP-OF-ALL-EQUALP))
 (571 571
      (:REWRITE MILAWA::EQUAL-OF-BOOLEANS-REWRITE))
 (571 571
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PORS))
 (571 571
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PNOTS))
 (571 571
      (:REWRITE MILAWA::AGGRESSIVE-EQUAL-OF-LOGIC.PEQUALS))
 (536
  4
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-SECOND-WHEN-LOGIC.PROVABLE-LISTP))
 (514 514
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (503
  3
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-THIRD-WHEN-LOGIC.PROVABLE-LISTP))
 (460
  5
  (:REWRITE
   MILAWA::LOGIC.PROVABLEP-OF-LOGIC.CONCLUSION-OF-FIRST-WHEN-LOGIC.PROVABLE-LISTP))
 (436 436
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-TWO))
 (436 436
      (:REWRITE MILAWA::TRANSITIVITY-OF-<-THREE))
 (436 436
      (:REWRITE MILAWA::|(< b d) when (= (+ a (+ b c)) d)|))
 (436 436
      (:REWRITE MILAWA::|(< b c) when (= (+ a b) c)|))
 (436 436
      (:REWRITE MILAWA::|(< a c) when (= (+ a b) c)|))
 (417
   3
   (:REWRITE MILAWA::LEVEL11.PROOFP-AUX-OF-CAR-WHEN-LEVEL11.PROOF-LISTP-AUX))
 (410 11
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL10.PROOFP-AUX))
 (403
  9
  (:REWRITE
   MILAWA::LOGIC.FORMULA-LIST-ATBLP-OF-CAR-WHEN-LOGIC.FORMULA-LIST-LIST-ATBLP))
 (390 9
      (:REWRITE MILAWA::LEVEL11.PROOF-LISTP-AUX-WHEN-NOT-CONSP))
 (387 37
      (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-CDR-WHEN-LOGIC.APPEAL-LISTP))
 (384 8
      (:REWRITE MILAWA::LIST-FIX-WHEN-TRUE-LISTP))
 (376 9
      (:REWRITE MILAWA::LOGIC.FORMULA-LIST-LIST-ATBLP-WHEN-NOT-CONSP))
 (372 372
      (:REWRITE MILAWA::FORCING-PREFIXP-WHEN-NOT-PREFIXP-BADGUY))
 (369 26
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-SECOND-WHEN-LOGIC.APPEAL-LISTP))
 (346 346
      (:REWRITE MILAWA::CONSP-OF-CDR-WITH-LEN-FREE))
 (346 346
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-TUPLEP-2-CHEAP))
 (346 346
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-MEMBERP-NOT-CAR-CHEAP))
 (346 346
      (:REWRITE MILAWA::CONSP-OF-CDR-WHEN-LEN-TWO-CHEAP))
 (322 30
      (:REWRITE MILAWA::LOGIC.PROOF-LISTP-WHEN-NOT-CONSP))
 (315
  8
  (:REWRITE
   MILAWA::FORCING-LOGIC.PROVABLE-LISTP-OF-LOGIC.STRIP-CONCLUSIONS-WHEN-LOGIC.PROOF-LISTP))
 (310 310
      (:REWRITE MILAWA::FORCING-LOOKUP-OF-LOGIC.FUNCTION-NAME-FREE))
 (302 302 (:REWRITE MILAWA::TRICHOTOMY-OF-<))
 (302 302
      (:REWRITE MILAWA::TRANSITIVITY-OF-<))
 (302 302
      (:REWRITE MILAWA::LESS-WHEN-ZP-LEFT-CHEAP))
 (296 8
      (:REWRITE MILAWA::LIST-FIX-WHEN-NOT-CONSP))
 (277
   6
   (:REWRITE
        MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-CDR-WHEN-LEVEL11.PROOF-LISTP-AUX))
 (259 37
      (:REWRITE MILAWA::LOGIC.APPEALP-OF-CAR-WHEN-LOGIC.APPEAL-LISTP))
 (255 8
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL2.PROOF-LISTP))
 (249 8
      (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-NOT-CONSP))
 (245 21
      (:REWRITE MILAWA::LOGIC.PROOF-LISTP-OF-CDR-WHEN-LOGIC.PROOF-LISTP))
 (229 229
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-OF-SINGLETON-LIST-CHEAP))
 (229 229
      (:REWRITE MILAWA::CAR-WHEN-MEMBERP-AND-NOT-MEMBERP-OF-CDR-CHEAP))
 (229 229
      (:REWRITE MILAWA::CAR-WHEN-ALL-EQUALP))
 (225 9
      (:REWRITE MILAWA::LOGIC.PROOFP-OF-CAR-WHEN-LOGIC.PROOF-LISTP))
 (219 219
      (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-UNIQUE))
 (219 219
      (:REWRITE MILAWA::REMOVE-DUPLICATES-WHEN-NOT-CONSP))
 (219 219
      (:REWRITE MILAWA::ORDERED-SUBSETP-IS-TRANSITIVE))
 (201 201
      (:REWRITE MILAWA::ZP-WHEN-NOT-NATP-CHEAP))
 (201 201
      (:REWRITE MILAWA::ZP-WHEN-NATP-CHEAP))
 (201 67 (:REWRITE MILAWA::LESS-OF-ONE-RIGHT))
 (196 11
      (:REWRITE MILAWA::FORCING-LOGIC.PROVABLEP-WHEN-LOGIC.PROOFP))
 (186 8
      (:REWRITE MILAWA::LOGIC.STRIP-CONCLUSIONS-WHEN-NOT-CONSP))
 (171 5
      (:REWRITE MILAWA::CONSP-OF-LOGIC.STRIP-CONCLUSIONS))
 (168 168
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CONS))
 (168 168
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-ORDERED-SUBSETP-OF-CDR))
 (168 168
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-TWO))
 (168 168
      (:REWRITE MILAWA::ORDERED-SUBSETP-WHEN-NOT-CONSP-ONE))
 (160 160
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-TWO))
 (160 160
      (:REWRITE MILAWA::SUBSETP-TRANSITIVE-ONE))
 (156 156
      (:REWRITE MILAWA::PREFIXP-WHEN-NOT-CONSP-ONE))
 (155 155
      (:REWRITE MILAWA::LOOKUP-WHEN-MEMBERP-OF-SUBMAPP1))
 (155 155
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-TWO))
 (155 155
      (:REWRITE MILAWA::LOOKUP-WHEN-LOOKUP-IN-SUBMAPP-ONE))
 (146 5
      (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-NOT-CONSP))
 (139 11
      (:REWRITE MILAWA::LOGIC.PROVABLEP-SUFF))
 (108
     108
     (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP-ALT))
 (108 108
      (:REWRITE MILAWA::LOGIC.APPEALP-WHEN-MEMBERP-OF-LOGIC.APPEAL-LISTP))
 (102 34
      (:REWRITE MILAWA::NATP-OF-CDR-WHEN-MEMBERP-OF-LOGIC.ARITY-TABLEP))
 (98 98
     (:REWRITE MILAWA::CONSP-OF-CDR-OF-CDR-WHEN-TUPLEP-3-CHEAP))
 (75 75
     (:REWRITE MILAWA::CDR-OF-CDR-WITH-LEN-FREE-PAST-THE-END))
 (75
    75
    (:REWRITE MILAWA::CDR-OF-CDR-WHEN-TRUE-LISTP-WITH-LEN-FREE-PAST-THE-END))
 (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))
 (72
   72
   (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP-ALT))
 (72 72
     (:REWRITE MILAWA::RW.TYPED-RULEMAPP-OF-SUBSET-WHEN-RW.TYPED-RULEMAPP))
 (72 72
     (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP-ALT))
 (72 72
     (:REWRITE MILAWA::RW.THEORY-MAPP-OF-SUBSET-WHEN-RW.THEORY-MAPP))
 (72
   72
   (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP-ALT))
 (72 72
     (:REWRITE MILAWA::RW.FAST-CACHEMAPP-OF-SUBSET-WHEN-RW.FAST-CACHEMAPP))
 (72 72
     (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP-ALT))
 (72 72
     (:REWRITE MILAWA::RW.CACHEMAPP-OF-SUBSET-WHEN-RW.CACHEMAPP))
 (72 72
     (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP-ALT))
 (72 72
     (:REWRITE MILAWA::MAPP-WHEN-MEMBERP-OF-MAP-LISTP))
 (72 72
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.SIGMA-ATBLP))
 (72 72
     (:REWRITE MILAWA::MAPP-WHEN-LOGIC.CALLMAP-ATBLP))
 (72 72
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP-ALT))
 (72 72
     (:REWRITE MILAWA::LOGIC.SIGMAP-WHEN-MEMBERP-OF-LOGIC.SIGMA-LISTP))
 (72 72
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP-ALT))
 (72 72
     (:REWRITE MILAWA::LOGIC.SIGMAP-OF-SUBSET-WHEN-LOGIC.SIGMAP))
 (72 72
     (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP-ALT))
 (72 72
     (:REWRITE MILAWA::LOGIC.CALLMAPP-OF-SUBSET-WHEN-LOGIC.CALLMAPP))
 (72 72
     (:REWRITE
          MILAWA::LOGIC.ARITY-TABLEP-OF-SUBSET-WHEN-LOGIC.ARITY-TABLEP-ALT))
 (72 72
     (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP-ALT))
 (72 72
     (:REWRITE MILAWA::ELIM.NAMESP-OF-SUBSET-WHEN-ELIM.NAMESP))
 (71 71 (:REWRITE MILAWA::TUPLEP-WHEN-ZP))
 (71 71
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP-ALT))
 (71 71
     (:REWRITE MILAWA::TUPLEP-WHEN-MEMBERP-OF-TUPLE-LISTP))
 (71 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL7.STEP-OKP))
 (70 30
     (:REWRITE MILAWA::LOGIC.PROOF-LISTP-IN-LARGER-AXIOM-SET))
 (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))
 (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::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP-ALT))
 (46
    46
    (:REWRITE MILAWA::LOGIC.APPEAL-LISTP-OF-SUBSETP-WHEN-LOGIC.APPEAL-LISTP))
 (46 14
     (:REWRITE MILAWA::LEVEL4.STEP-OKP-WHEN-LEVEL3.STEP-OKP))
 (43 8
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL11.PROOF-LISTP-AUX))
 (38 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL7.PROOFP-AUX))
 (38 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL3.PROOFP-AUX))
 (38 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL10.PROOFP))
 (36 22
     (:REWRITE MILAWA::LOGIC.PROOFP-IN-LARGER-AXIOM-SET))
 (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))
 (29 8
     (:REWRITE MILAWA::LOGIC.PROVABLE-LISTP-WHEN-LEVEL10.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-LEVEL9.PROOFP-AUX))
 (24 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP-AUX))
 (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-LEVEL9.PROOFP))
 (22 11
     (:REWRITE MILAWA::LOGIC.PROVABLEP-WHEN-LEVEL8.PROOFP))
 (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::SOUNDNESS-OF-LEVEL11.STEP-OKP))
 (11 11
     (:REWRITE MILAWA::SOUNDNESS-OF-LEVEL10.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-TACTIC.CONDITIONAL-EQSUBST-LEMMA1-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-TACTIC.COMPILE-SKELETON-OKP))
 (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))
 (11
   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))
 (11
  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))
 (11
  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))
 (11
   11
   (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-OKP))
 (11
  11
  (:REWRITE
     MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3A-OKP))
 (11
  11
  (:REWRITE
      MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-CONTRADICTION-BLDR-LEMMA3-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.EQTRACE-BLDR-OKP))
 (11 11
     (:REWRITE MILAWA::FORCING-SOUNDNESS-OF-RW.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.CREWRITE-CLAUSE-PLAN-COMPILER-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-LIST-ATBLP-OF-REMOVE-DUPLICATES-FREE))
 (9 9
    (:REWRITE MILAWA::LOGIC.FORMULA-ATBL-LISTP-OF-ORDERED-SUBSETP))
 (9
  9
  (:REWRITE
   MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL11.PROOF-LISTP-AUX-ALT))
 (9
  9
  (:REWRITE
    MILAWA::LEVEL11.PROOF-LISTP-AUX-OF-SUBSETP-WHEN-LEVEL11.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.FORMULA-LISTP-OF-REMOVE-DUPLICATES-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::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX-ALT))
 (3 3
    (:REWRITE
         MILAWA::LEVEL11.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL11.PROOF-LISTP-AUX))
 (2
  2
  (:REWRITE
       MILAWA::LEVEL9.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL9.PROOF-LISTP-AUX-ALT))
 (2 2
    (: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))
 (2
  2
  (:REWRITE
     MILAWA::LEVEL10.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL10.PROOF-LISTP-AUX-ALT))
 (2
   2
   (:REWRITE
        MILAWA::LEVEL10.PROOFP-AUX-WHEN-MEMBERP-OF-LEVEL10.PROOF-LISTP-AUX)))
(MILAWA::LEVEL11.ADAPTER)
