TSTP Solution File: SWC093-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC093-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 20:23:10 EDT 2023
% Result : Unsatisfiable 80.02s 80.77s
% Output : Proof 80.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : SWC093-1 : TPTP v8.1.2. Released v2.4.0.
% 0.04/0.15 % Command : do_cvc5 %s %d
% 0.16/0.37 % Computer : n016.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Mon Aug 28 17:43:15 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.52 %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.52 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.o8VXCI8k0S/cvc5---1.0.5_13146.p...
% 0.38/0.55 ------- get file name : TPTP file name is SWC093-1
% 0.38/0.56 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13146.smt2...
% 0.38/0.56 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.55/10.75 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.56/15.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.61/20.81 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.58/25.84 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.69/30.90 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.74/36.02 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.79/41.13 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.87/46.30 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.94/51.39 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.02/56.52 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.01/61.63 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.10/66.75 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.15/76.88 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 80.02/80.77 % SZS status Unsatisfiable for SWC093-1
% 80.02/80.77 % SZS output start Proof for SWC093-1
% 80.06/80.77 (
% 80.06/80.77 (let ((_let_1 (tptp.neq tptp.sk4 tptp.nil))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.memberP tptp.sk4 tptp.sk5))) (let ((_let_4 (or _let_3 _let_2))) (let ((_let_5 (tptp.cons tptp.sk5 tptp.nil))) (let ((_let_6 (or (= _let_5 tptp.sk3) _let_2))) (let ((_let_7 (tptp.ssItem tptp.sk5))) (let ((_let_8 (or _let_7 _let_2))) (let ((_let_9 (= tptp.nil tptp.sk3))) (let ((_let_10 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))))) (let ((_let_11 (tptp.neq tptp.sk2 tptp.nil))) (let ((_let_12 (= tptp.sk1 tptp.sk3))) (let ((_let_13 (= tptp.sk2 tptp.sk4))) (let ((_let_14 (tptp.ssList tptp.sk4))) (let ((_let_15 (tptp.ssList tptp.sk3))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))))) (let ((_let_18 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))) (let ((_let_28 (tptp.ssList tptp.nil))) (let ((_let_29 (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (let ((_let_30 (= tptp.sk3 _let_5))) (let ((_let_31 (tptp.app tptp.nil tptp.sk3))) (let ((_let_32 (= tptp.sk3 _let_31))) (let ((_let_33 (tptp.skaf43 tptp.sk5 tptp.sk4))) (let ((_let_34 (tptp.cons tptp.sk5 _let_33))) (let ((_let_35 (= _let_34 (tptp.app _let_5 _let_33)))) (let ((_let_36 (= _let_34 (tptp.app tptp.nil _let_34)))) (let ((_let_37 (tptp.segmentP _let_34 tptp.sk3))) (let ((_let_38 (tptp.segmentP (tptp.app _let_31 _let_33) tptp.sk3))) (let ((_let_39 (ASSUME :args (_let_28)))) (let ((_let_40 (AND_INTRO (ASSUME :args (_let_12)) (ASSUME :args (_let_13))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO _let_40 :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_2 _let_30))) _let_41 :args (_let_30 false _let_1)))) (let ((_let_43 (not _let_15))) (let ((_let_44 (or _let_43 _let_32))) (let ((_let_45 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_46 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_47 (_let_45))) (let ((_let_48 (ASSUME :args (_let_15)))) (let ((_let_49 (tptp.ssList _let_33))) (let ((_let_50 (not _let_49))) (let ((_let_51 (not _let_7))) (let ((_let_52 (or _let_51 _let_50 _let_35))) (let ((_let_53 (_let_19))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (_let_27))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.sk5 tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf43 U V)))) :args _let_55)) _let_56 :args (_let_49 false _let_27)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_8)) _let_41 :args (_let_7 false _let_1)))) (let ((_let_59 (tptp.ssList _let_34))) (let ((_let_60 (not _let_59))) (let ((_let_61 (or _let_60 _let_36))) (let ((_let_62 (or _let_51 _let_50 _let_59))) (let ((_let_63 (_let_22))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_51 _let_50 _let_59 (not _let_62)))) _let_58 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.sk5 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_63)) _let_64 :args (_let_62 false _let_22)) :args (_let_59 false _let_7 false _let_49 false _let_62)))) (let ((_let_66 (tptp.skaf42 tptp.sk4 tptp.sk5))) (let ((_let_67 (tptp.app _let_66 _let_34))) (let ((_let_68 (tptp.segmentP (tptp.app _let_67 tptp.nil) tptp.sk3))) (let ((_let_69 (tptp.ssList _let_66))) (let ((_let_70 (not _let_69))) (let ((_let_71 (not _let_28))) (let ((_let_72 (not _let_37))) (let ((_let_73 (or _let_72 _let_71 _let_70 _let_43 _let_60 _let_68))) (let ((_let_74 (_let_16))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (= tptp.sk4 _let_67))) (let ((_let_77 (= tptp.sk4 (tptp.app tptp.sk4 tptp.nil)))) (let ((_let_78 (tptp.segmentP tptp.sk4 tptp.sk3))) (let ((_let_79 (not _let_68))) (let ((_let_80 (not _let_14))) (let ((_let_81 (not _let_3))) (let ((_let_82 (or _let_81 _let_51 _let_80 _let_76))) (let ((_let_83 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U)))))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (ASSUME :args (_let_14)))) (let ((_let_86 (or _let_80 _let_77))) (let ((_let_87 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (tptp.segmentP tptp.sk3 tptp.sk3))) (let ((_let_90 (not _let_89))) (let ((_let_91 (not _let_78))) (let ((_let_92 (tptp.neq tptp.sk3 tptp.nil))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_43 _let_93 _let_91 _let_90))) (let ((_let_95 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP tptp.sk3 A)))))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO _let_40 :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (or _let_43 _let_89))) (let ((_let_98 (_let_25))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_43 _let_89 (not _let_97)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_98)) _let_99 :args (_let_97 false _let_25)) :args (_let_89 false _let_15 false _let_97)))) (let ((_let_101 (or _let_71 _let_43 _let_92 _let_9))) (let ((_let_102 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (= tptp.nil _let_5))) (let ((_let_105 (not _let_9))) (let ((_let_106 (not _let_104))) (let ((_let_107 (or _let_106 _let_51 _let_71))) (let ((_let_108 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (not _let_30))) (let ((_let_111 (or))) (let ((_let_112 (REFL :args (_let_110)))) (let ((_let_113 (and _let_30 _let_106))) (let ((_let_114 (ASSUME :args (_let_106)))) (let ((_let_115 (ASSUME :args (_let_30)))) (let ((_let_116 (SYMM _let_115))) (let ((_let_117 (REFL :args (tptp.nil)))) (let ((_let_118 (not _let_76))) (let ((_let_119 (not _let_77))) (let ((_let_120 (and _let_77 _let_76 _let_91))) (let ((_let_121 (ASSUME :args (_let_91)))) (let ((_let_122 (APPLY_UF tptp.segmentP))) (let ((_let_123 (REFL :args (tptp.sk3)))) (let ((_let_124 (ASSUME :args (_let_77)))) (let ((_let_125 (APPLY_UF tptp.app))) (let ((_let_126 (ASSUME :args (_let_76)))) (let ((_let_127 (_let_26))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 (or _let_90 _let_50 _let_71 _let_43 _let_43 _let_38))) (let ((_let_130 (ASSUME :args (_let_38)))) (let ((_let_131 (ASSUME :args (_let_32)))) (let ((_let_132 (ASSUME :args (_let_35)))) (let ((_let_133 (ASSUME :args (_let_36)))) (let ((_let_134 (ASSUME :args (_let_29)))) (let ((_let_135 (CONG (SYMM _let_134) (REFL :args (_let_34)) :args _let_125))) (let ((_let_136 (ASSUME :args (_let_72)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_130 _let_131 _let_115 _let_132 _let_133 _let_134 _let_136) :args (_let_29 _let_30 _let_32 _let_35 _let_36 _let_72 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_136)) (CONG (TRANS (TRANS _let_133 (SYMM _let_135)) (TRANS _let_135 (SYMM _let_133) (SYMM (SYMM _let_132)) (CONG (TRANS _let_116 (SYMM (SYMM _let_131))) (REFL :args (_let_33)) :args _let_125))) _let_123 :args _let_122) (TRUE_INTRO _let_130))) :args (_let_38 _let_32 _let_30 _let_35 _let_36 _let_29 _let_72)) :args ((not (and _let_29 _let_30 _let_32 _let_35 _let_36 _let_72 _let_38)) SB_LITERAL))) (CONG (REFL :args ((not _let_29))) _let_112 (REFL :args ((not _let_32))) (REFL :args ((not _let_35))) (REFL :args ((not _let_36))) (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_37))) (REFL :args ((not _let_38))) :args _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_129))) :args ((or _let_71 _let_43 _let_90 _let_50 _let_38 (not _let_129)))) _let_39 _let_48 _let_100 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.sk3 tptp.sk3 _let_33 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74)) _let_75 :args (_let_129 false _let_16)) :args (_let_38 false _let_28 false _let_15 false _let_89 false _let_49 false _let_129)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_71 _let_43 _let_60 _let_70 _let_72 _let_68 (not _let_73)))) _let_39 _let_48 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.sk4 tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf42 U V)))) :args _let_127)) _let_128 :args (_let_69 false _let_26)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_120)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_121 _let_124 _let_126) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG (SYMM _let_126) _let_117 :args _let_125) (SYMM _let_124)) _let_123 :args _let_122) (FALSE_INTRO _let_121))) :args (_let_91 _let_77 _let_76))) :args (_let_77 _let_76 _let_91))) :args (true _let_120)) (CONG (REFL :args (_let_119)) (REFL :args (_let_118)) (MACRO_SR_PRED_INTRO :args ((= (not _let_91) _let_78))) (REFL :args (_let_79)) :args _let_111)) :args ((or _let_78 _let_119 _let_118 _let_79))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_43 _let_93 _let_91 _let_90 (not _let_94)))) _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_9 _let_71 _let_43 _let_92 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_113)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_114 _let_115) (SCOPE (FALSE_ELIM (TRANS (CONG _let_117 (SYMM _let_116) :args (=)) (FALSE_INTRO _let_114))) :args (_let_106 _let_30))) :args (_let_30 _let_106))) :args (true _let_113)) (CONG _let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_104))) (REFL :args (_let_105)) :args _let_111)) :args ((or _let_105 _let_110 _let_104))) _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_71 _let_51 _let_106 (not _let_107)))) _let_39 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_108))) _let_109 :args (_let_107 false _let_108)) :args (_let_106 false _let_28 false _let_7 false _let_107)) :args (_let_105 false _let_30 true _let_104)) _let_39 _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.nil tptp.sk3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_102))) _let_103 :args (_let_101 false _let_102)) :args (_let_92 true _let_9 false _let_28 false _let_15 false _let_101)) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList A) false))))) :args (_let_95))) _let_96 :args (_let_94 false _let_95)) :args (_let_91 false _let_15 false _let_92 false _let_89 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_80 _let_77 (not _let_86)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_87))) _let_88 :args (_let_86 false _let_87)) :args (_let_77 false _let_14 false _let_86)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_80 _let_51 _let_81 _let_76 (not _let_82)))) _let_85 _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_4)) :args ((or _let_2 _let_3))) _let_41 :args (_let_3 false _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.sk4 tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.memberP U V) false))))) :args (_let_83))) _let_84 :args (_let_82 false _let_83)) :args (_let_76 false _let_14 false _let_7 false _let_3 false _let_82)) :args (_let_79 true _let_78 false _let_77 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_34 tptp.sk3 tptp.nil _let_66 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_74)) _let_75 :args (_let_73 false _let_16)) :args (_let_72 false _let_28 false _let_15 false _let_59 false _let_69 true _let_68 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_60 _let_36 (not _let_61)))) _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_34 QUANTIFIERS_INST_CBQI_PROP)) :args _let_47)) _let_46 :args (_let_61 false _let_45)) :args (_let_36 false _let_59 false _let_61)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_50 _let_35 (not _let_52)))) _let_58 _let_57 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_54 :args (tptp.sk5 _let_33 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_53))) _let_54 :args (_let_52 false _let_19)) :args (_let_35 false _let_7 false _let_49 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_32 (not _let_44)))) _let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_47)) _let_46 :args (_let_44 false _let_45)) :args (_let_32 false _let_15 false _let_44)) _let_42 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) _let_39 :args (_let_29 false _let_28)) :args (false false _let_38 true _let_37 false _let_36 false _let_35 false _let_32 false _let_30 false _let_29)) :args ((tptp.equalelemsP tptp.nil) (tptp.duplicatefreeP tptp.nil) (tptp.strictorderedP tptp.nil) (tptp.totalorderedP tptp.nil) (tptp.strictorderP tptp.nil) (tptp.totalorderP tptp.nil) (tptp.cyclefreeP tptp.nil) _let_28 (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) _let_27 _let_26 (not (= tptp.skac3 tptp.skac2)) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) _let_25 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))) _let_24 _let_23 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) _let_22 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))) (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) _let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) _let_20 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) 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(tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W 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(tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) _let_18 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted)) (let ((_let_1 (tptp.skaf74 U))) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons _let_1 (tptp.skaf76 U))) (tptp.cons _let_1 (tptp.skaf77 U))) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) _let_17 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))) _let_16 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (tptp.ssList tptp.sk1) (tptp.ssList tptp.sk2) _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 (or _let_9 (not (= tptp.nil tptp.sk4))) _let_8 _let_6 _let_4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 80.06/80.77 )
% 80.06/80.79 % SZS output end Proof for SWC093-1
% 80.06/80.79 % cvc5---1.0.5 exiting
% 80.06/80.79 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------