TSTP Solution File: SWC368-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC368-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n014.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 20:25:06 EDT 2023
% Result : Unsatisfiable 79.06s 79.31s
% Output : Proof 79.06s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC368-1 : TPTP v8.1.2. Released v2.4.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.15/0.37 % Computer : n014.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Mon Aug 28 14:44:30 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.51 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.8bCkHq80kU/cvc5---1.0.5_5567.p...
% 0.22/0.54 ------- get file name : TPTP file name is SWC368-1
% 0.22/0.55 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5567.smt2...
% 0.22/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.49/10.71 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.54/15.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.53/20.77 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.58/25.79 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.60/30.85 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.66/35.88 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.70/40.92 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.77/46.00 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.81/51.04 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.86/56.11 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.77/61.14 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.86/66.21 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.01/76.24 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 79.06/79.31 % SZS status Unsatisfiable for SWC368-1
% 79.06/79.31 % SZS output start Proof for SWC368-1
% 79.06/79.31 (
% 79.06/79.31 (let ((_let_1 (= tptp.nil tptp.sk3))) (let ((_let_2 (tptp.memberP tptp.sk4 tptp.sk5))) (let ((_let_3 (or _let_2 _let_1))) (let ((_let_4 (tptp.cons tptp.sk5 tptp.nil))) (let ((_let_5 (= _let_4 tptp.sk3))) (let ((_let_6 (or _let_5 _let_1))) (let ((_let_7 (= tptp.nil tptp.sk4))) (let ((_let_8 (or _let_5 _let_7))) (let ((_let_9 (tptp.ssItem tptp.sk5))) (let ((_let_10 (or _let_9 _let_1))) (let ((_let_11 (or _let_9 _let_7))) (let ((_let_12 (not (tptp.segmentP tptp.sk2 tptp.sk1)))) (let ((_let_13 (= tptp.sk1 tptp.sk3))) (let ((_let_14 (= tptp.sk2 tptp.sk4))) (let ((_let_15 (tptp.ssList tptp.sk4))) (let ((_let_16 (tptp.ssList tptp.sk3))) (let ((_let_17 (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_18 (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_19 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))))) (let ((_let_20 (forall ((U $$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))))))) (let ((_let_21 (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_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_23 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))) (let ((_let_27 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))) (let ((_let_28 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))))) (let ((_let_29 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))))) (let ((_let_30 (tptp.ssList tptp.nil))) (let ((_let_31 (tptp.segmentP tptp.nil tptp.nil))) (let ((_let_32 (tptp.segmentP tptp.sk4 tptp.sk3))) (let ((_let_33 (ASSUME :args (_let_30)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))) _let_33 :args (_let_31 false _let_30)))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO (AND_INTRO (ASSUME :args (_let_13)) (ASSUME :args (_let_14))) :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (= tptp.sk3 _let_4))) (let ((_let_37 (not _let_9))) (let ((_let_38 (not _let_1))) (let ((_let_39 (not _let_7))) (let ((_let_40 (not _let_31))) (let ((_let_41 (or))) (let ((_let_42 (not _let_32))) (let ((_let_43 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_32))))) (let ((_let_44 (REFL :args (_let_38)))) (let ((_let_45 (ASSUME :args (_let_31)))) (let ((_let_46 (APPLY_UF tptp.segmentP))) (let ((_let_47 (ASSUME :args (_let_1)))) (let ((_let_48 (ASSUME :args (_let_7)))) (let ((_let_49 (FALSE_INTRO _let_35))) (let ((_let_50 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_45 _let_48 _let_47 _let_35) :args (_let_7 _let_1 _let_31 _let_42)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_49) (CONG (SYMM _let_48) (SYMM _let_47) :args _let_46) (TRUE_INTRO _let_45))) :args (_let_31 _let_7 _let_1 _let_42)) :args ((not (and _let_7 _let_1 _let_31 _let_42)) SB_LITERAL))) (CONG (REFL :args (_let_39)) _let_44 (REFL :args (_let_40)) _let_43 :args _let_41)) :args ((or _let_40 _let_32 _let_39 _let_38))))) (let ((_let_51 (tptp.skaf43 tptp.sk5 tptp.sk4))) (let ((_let_52 (tptp.cons tptp.sk5 _let_51))) (let ((_let_53 (tptp.ssList _let_52))) (let ((_let_54 (tptp.ssList _let_51))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_37 _let_55 _let_53))) (let ((_let_57 (tptp.skaf42 tptp.sk4 tptp.sk5))) (let ((_let_58 (tptp.ssList _let_57))) (let ((_let_59 (tptp.app _let_52 tptp.nil))) (let ((_let_60 (tptp.app _let_57 _let_52))) (let ((_let_61 (tptp.app _let_60 tptp.nil))) (let ((_let_62 (= _let_61 (tptp.app _let_57 _let_59)))) (let ((_let_63 (not _let_58))) (let ((_let_64 (not _let_53))) (let ((_let_65 (not _let_30))) (let ((_let_66 (or _let_65 _let_64 _let_63 _let_62))) (let ((_let_67 (tptp.app _let_51 tptp.nil))) (let ((_let_68 (= _let_59 (tptp.cons tptp.sk5 _let_67)))) (let ((_let_69 (or _let_37 _let_55 _let_65 _let_68))) (let ((_let_70 (= _let_52 (tptp.app _let_4 _let_51)))) (let ((_let_71 (or _let_37 _let_55 _let_70))) (let ((_let_72 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_73 (= tptp.nil _let_4))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_37 _let_65))) (let ((_let_76 (tptp.app tptp.nil tptp.sk3))) (let ((_let_77 (= tptp.sk3 _let_76))) (let ((_let_78 (= _let_51 _let_67))) (let ((_let_79 (tptp.segmentP (tptp.app _let_76 _let_51) tptp.sk3))) (let ((_let_80 (tptp.segmentP _let_52 tptp.sk3))) (let ((_let_81 (tptp.segmentP _let_61 tptp.sk3))) (let ((_let_82 (not _let_16))) (let ((_let_83 (not _let_80))) (let ((_let_84 (or _let_83 _let_65 _let_63 _let_82 _let_64 _let_81))) (let ((_let_85 (= tptp.sk4 _let_60))) (let ((_let_86 (not _let_15))) (let ((_let_87 (not _let_2))) (let ((_let_88 (or _let_87 _let_37 _let_86 _let_85))) (let ((_let_89 (= _let_57 (tptp.app tptp.nil _let_57)))) (let ((_let_90 (not _let_36))) (let ((_let_91 (_let_23))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (_let_29))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.sk5 tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf43 U V)))) :args _let_93)))) (let ((_let_96 (_let_28))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.sk4 tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf42 U V)))) :args _let_96)))) (let ((_let_99 (_let_20))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (_let_19))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 (_let_21))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (and _let_36 _let_74))) (let ((_let_107 (ASSUME :args (_let_74)))) (let ((_let_108 (ASSUME :args (_let_36)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (or _let_82 _let_77))) (let ((_let_111 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_111))) (let ((_let_114 (ASSUME :args (_let_16)))) (let ((_let_115 (or _let_55 _let_78))) (let ((_let_116 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (MACRO_RESOLUTION_TRUST _let_95 _let_94 :args (_let_54 false _let_29)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_55 _let_78 (not _let_115)))) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_116))) _let_117 :args (_let_115 false _let_116)) :args (_let_78 false _let_54 false _let_115)))) (let ((_let_120 (tptp.segmentP tptp.sk3 tptp.sk3))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_55 _let_65 _let_82 _let_82 _let_79))) (let ((_let_123 (_let_17))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 (or _let_82 _let_120))) (let ((_let_126 (_let_27))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (not _let_78))) (let ((_let_129 (and _let_36 _let_77 _let_70 _let_78 _let_79))) (let ((_let_130 (ASSUME :args (_let_79)))) (let ((_let_131 (REFL :args (tptp.sk3)))) (let ((_let_132 (APPLY_UF tptp.app))) (let ((_let_133 (ASSUME :args (_let_77)))) (let ((_let_134 (ASSUME :args (_let_78)))) (let ((_let_135 (SYMM _let_134))) (let ((_let_136 (ASSUME :args (_let_70)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST _let_98 _let_97 :args (_let_58 false _let_28)))) (let ((_let_138 (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_139 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (or _let_63 _let_89))) (let ((_let_141 (ASSUME :args (_let_85)))) (let ((_let_142 (ASSUME :args (_let_89)))) (let ((_let_143 (ASSUME :args (_let_68)))) (let ((_let_144 (ASSUME :args (_let_62)))) (let ((_let_145 (ASSUME :args (_let_81)))) (let ((_let_146 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_35 _let_141 _let_142 _let_134 _let_143 _let_144 _let_145) :args (_let_42 _let_85 _let_62 _let_89 _let_68 _let_78 _let_81)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_145)) (CONG (TRANS (TRANS (SYMM (SYMM _let_144)) (CONG _let_142 (TRANS (SYMM (SYMM _let_143)) (CONG (REFL :args (tptp.sk5)) _let_135 :args (APPLY_UF tptp.cons))) :args _let_132)) (TRANS (CONG (SYMM _let_142) (REFL :args (_let_52)) :args _let_132) (SYMM _let_141))) _let_131 :args _let_46) _let_49)) :args (_let_42 _let_85 _let_89 _let_78 _let_68 _let_62 _let_81)) :args ((not (and _let_42 _let_85 _let_62 _let_89 _let_68 _let_78 _let_81)) SB_LITERAL))) (CONG _let_43 (REFL :args ((not _let_85))) (REFL :args ((not _let_62))) (REFL :args ((not _let_89))) (REFL :args ((not _let_68))) (REFL :args (_let_128)) (REFL :args ((not _let_81))) :args _let_41)) _let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_63 _let_89 (not _let_140)))) _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_57 QUANTIFIERS_INST_CBQI_PROP)) :args _let_113)) _let_112 :args (_let_140 false _let_111)) :args (_let_89 false _let_58 false _let_140)) _let_35 (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_86 _let_37 _let_87 _let_85 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.sk4 tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.memberP U V) false))))) :args (_let_138))) _let_139 :args (_let_88 false _let_138)) (ASSUME :args (_let_15)) (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_65 _let_82 _let_64 _let_63 _let_83 _let_81 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_52 tptp.sk3 tptp.nil _let_57 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_123)) _let_124 :args (_let_84 false _let_17)) _let_137 _let_114 _let_33 (REORDERING (ASSUME :args (_let_3)) :args ((or _let_1 _let_2))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_129)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_130 _let_134 _let_133 _let_136 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM (SYMM _let_136)) (CONG (REFL :args (_let_4)) _let_134 :args _let_132) (CONG _let_109 _let_135 :args _let_132) (CONG (SYMM (SYMM _let_133)) (REFL :args (_let_51)) :args _let_132)) _let_131 :args _let_46) (TRUE_INTRO _let_130))) :args (_let_79 _let_78 _let_77 _let_70 _let_36))) :args (_let_36 _let_77 _let_70 _let_78 _let_79))) :args (true _let_129)) :args ((or _let_90 (not _let_77) (not _let_70) _let_128 _let_80 (not _let_79)))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_122))) :args ((or _let_65 _let_82 _let_121 _let_55 _let_79 (not _let_122)))) _let_33 _let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_125)) :args ((or _let_82 _let_120 (not _let_125)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_126)) _let_127 :args (_let_125 false _let_27)) :args (_let_120 false _let_16 false _let_125)) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.sk3 tptp.sk3 _let_51 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_123)) _let_124 :args (_let_122 false _let_17)) :args (_let_79 false _let_30 false _let_16 false _let_120 false _let_54 false _let_122)) _let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_82 _let_77 (not _let_110)))) _let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_113)) _let_112 :args (_let_110 false _let_111)) :args (_let_77 false _let_16 false _let_110)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_106)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_107 _let_108) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.nil)) (SYMM _let_109) :args (=)) (FALSE_INTRO _let_107))) :args (_let_74 _let_36))) :args (_let_36 _let_74))) :args (true _let_106)) (CONG (REFL :args (_let_90)) (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) _let_44 :args _let_41)) :args ((or _let_38 _let_90 _let_73))) (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_65 _let_37 _let_74 (not _let_75)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_72))) _let_105 (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_37 _let_55 _let_70 (not _let_71)))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.sk5 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_103))) _let_104 (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_65 _let_37 _let_55 _let_68 (not _let_69)))) (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.sk5 _let_51 tptp.nil QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.cons U V) W)))) :args _let_101))) _let_102 (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_64 _let_63 _let_62 (not _let_66)))) _let_33 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.nil _let_52 _let_57 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.app W V) U)))) :args _let_99)) _let_100 _let_98 _let_97 (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_37 _let_55 _let_53 (not _let_56)))) _let_95 _let_94 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.sk5 _let_51 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_91)) _let_92 :args ((or _let_37 _let_90) false _let_78 false _let_89 true _let_32 false _let_85 false _let_88 false _let_15 false _let_81 false _let_84 false _let_58 false _let_16 false _let_30 false _let_2 false _let_80 false _let_79 false _let_78 false _let_77 true _let_1 true _let_73 false _let_75 false _let_72 false _let_70 false _let_71 false _let_21 false _let_68 false _let_69 false _let_19 false _let_62 false _let_30 false _let_66 false _let_20 false _let_58 false _let_28 false _let_53 false _let_54 false _let_29 false _let_56 false _let_23)) (MACRO_RESOLUTION_TRUST _let_50 _let_35 _let_34 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_1 _let_36))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_7 _let_36))) :args (_let_36 true _let_32 false _let_31 false _let_1 false _let_7)) :args (_let_37 false _let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_50 (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_10)) _let_146 :args (_let_1 true _let_9)) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_11)) _let_146 :args (_let_7 true _let_9)) _let_35 _let_34 :args (false false _let_1 false _let_7 true _let_32 false _let_31)) :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_30 (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_29 _let_28 (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_27 (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_26 _let_25 (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))) _let_24 (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 $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) _let_23 (forall ((U $$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)) 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V)) U))) _let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))) (forall ((U $$unsorted) (V 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U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$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))) (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))) (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 $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) _let_20 (forall ((U $$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))) _let_19 (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_18 (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_17 (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_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_8 (or _let_2 _let_7) (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk5 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq A tptp.sk5)) (= tptp.nil tptp.sk4))) _let_6 _let_3 (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk5 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq A tptp.sk5)) (= tptp.nil tptp.sk3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 79.06/79.31 )
% 79.06/79.32 % SZS output end Proof for SWC368-1
% 79.06/79.33 % cvc5---1.0.5 exiting
% 79.06/79.33 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------