TSTP Solution File: SWC099-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC099-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 20:23:13 EDT 2023
% Result : Unsatisfiable 76.93s 77.12s
% Output : Proof 76.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC099-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 16:58:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.j6iwDwFBOS/cvc5---1.0.5_16326.p...
% 0.20/0.52 ------- get file name : TPTP file name is SWC099-1
% 0.20/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16326.smt2...
% 0.20/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.41/10.68 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.49/15.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.53/20.73 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.51/25.75 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.60/30.79 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.61/35.83 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.61/40.86 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.61/45.89 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.73/50.92 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.72/55.97 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.80/61.01 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.88/66.09 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.89/76.12 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 76.93/77.12 % SZS status Unsatisfiable for SWC099-1
% 76.93/77.12 % SZS output start Proof for SWC099-1
% 76.93/77.13 (
% 76.93/77.13 (let ((_let_1 (not (tptp.frontsegP tptp.sk2 tptp.sk1)))) (let ((_let_2 (not (tptp.neq tptp.sk1 tptp.nil)))) (let ((_let_3 (not (= tptp.nil tptp.sk1)))) (let ((_let_4 (or _let_3 _let_2 _let_1))) (let ((_let_5 (tptp.neq tptp.sk2 tptp.nil))) (let ((_let_6 (or _let_3 _let_5))) (let ((_let_7 (= tptp.nil tptp.sk2))) (let ((_let_8 (or _let_7 _let_2 _let_1))) (let ((_let_9 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.frontsegP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))))) (let ((_let_10 (tptp.frontsegP tptp.sk4 tptp.sk3))) (let ((_let_11 (= tptp.sk1 tptp.sk3))) (let ((_let_12 (= tptp.sk2 tptp.sk4))) (let ((_let_13 (tptp.ssList tptp.sk4))) (let ((_let_14 (tptp.ssList tptp.sk3))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))))) (let ((_let_16 (forall ((U $$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 ((_let_17 (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_18 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))) (let ((_let_19 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_20 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))) (let ((_let_22 (forall ((U $$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.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_24 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))) (let ((_let_25 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))) (let ((_let_26 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))) (let ((_let_27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))) (let ((_let_28 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))) (let ((_let_29 (tptp.ssList tptp.nil))) (let ((_let_30 (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (let ((_let_31 (= tptp.nil tptp.sk3))) (let ((_let_32 (tptp.skaf82 tptp.sk4))) (let ((_let_33 (tptp.skaf83 tptp.sk4))) (let ((_let_34 (tptp.cons _let_33 _let_32))) (let ((_let_35 (= tptp.sk4 _let_34))) (let ((_let_36 (= _let_33 (tptp.hd _let_34)))) (let ((_let_37 (tptp.cons _let_33 tptp.nil))) (let ((_let_38 (= tptp.nil _let_37))) (let ((_let_39 (tptp.hd tptp.sk4))) (let ((_let_40 (tptp.cons _let_39 tptp.nil))) (let ((_let_41 (= tptp.sk3 _let_40))) (let ((_let_42 (ASSUME :args (_let_29)))) (let ((_let_43 (tptp.neq tptp.sk3 tptp.nil))) (let ((_let_44 (not _let_14))) (let ((_let_45 (not _let_29))) (let ((_let_46 (or _let_45 _let_44 _let_43 _let_31))) (let ((_let_47 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (_let_47))) (let ((_let_50 (ASSUME :args (_let_14)))) (let ((_let_51 (= tptp.nil tptp.sk4))) (let ((_let_52 (not _let_43))) (let ((_let_53 (ASSUME :args (_let_10)))) (let ((_let_54 (tptp.frontsegP tptp.nil tptp.sk3))) (let ((_let_55 (not _let_54))) (let ((_let_56 (or _let_55 _let_44 _let_31))) (let ((_let_57 (tptp.neq tptp.sk4 tptp.nil))) (let ((_let_58 (not _let_51))) (let ((_let_59 (and _let_10 _let_51))) (let ((_let_60 (_let_10 _let_51))) (let ((_let_61 (APPLY_UF tptp.frontsegP))) (let ((_let_62 (ASSUME :args (_let_51)))) (let ((_let_63 (SYMM (SYMM _let_62)))) (let ((_let_64 (_let_23))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 (not _let_31))) (let ((_let_67 (AND_INTRO (ASSUME :args (_let_11)) (ASSUME :args (_let_12))))) (let ((_let_68 (not _let_10))) (let ((_let_69 (and _let_57 _let_51 _let_31))) (let ((_let_70 (_let_57 _let_51 _let_31))) (let ((_let_71 (ASSUME :args (_let_57)))) (let ((_let_72 (REFL :args (tptp.nil)))) (let ((_let_73 (ASSUME :args (_let_31)))) (let ((_let_74 (SYMM _let_73))) (let ((_let_75 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_69)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_71 _let_62 _let_73) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_74 _let_63) _let_72 :args (APPLY_UF tptp.neq)) (TRUE_INTRO _let_71))) :args _let_70)) :args _let_70)) :args (true _let_69)) :args ((or _let_43 _let_66 _let_58 (not _let_57)))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO _let_67 :args (_let_4 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_68 _let_52 _let_66))) _let_53 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO _let_67 :args (_let_6 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_57 _let_66))) (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_31 _let_44 _let_55 (not _let_56)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.sk3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_64)) _let_65 :args (_let_56 false _let_23)) _let_50 (RESOLUTION (CNF_AND_NEG :args (_let_59)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_53 _let_62) (SCOPE (TRUE_ELIM (TRANS (CONG _let_63 (REFL :args (tptp.sk3)) :args _let_61) (TRUE_INTRO _let_53))) :args _let_60)) :args _let_60)) :args (true _let_59)) _let_53 :args (_let_58 true _let_43 false _let_10 false _let_57 false _let_31 false _let_56 false _let_14 false _let_54 false _let_10)))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_43 _let_31 _let_44 (not _let_46)))) _let_42 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO _let_67 :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_51 _let_68 _let_52))) _let_75 _let_53 :args (_let_52 true _let_51 false _let_10)) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (tptp.nil tptp.sk3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_49)) _let_48 :args (_let_46 false _let_47)) :args (_let_31 false _let_29 true _let_43 false _let_14 false _let_46)))) (let ((_let_77 (not _let_13))) (let ((_let_78 (or _let_77 _let_35 _let_51))) (let ((_let_79 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (ASSUME :args (_let_13)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_51 _let_77 _let_35 (not _let_78)))) _let_75 _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_79))) _let_80 :args (_let_78 false _let_79)) :args (_let_35 true _let_51 false _let_13 false _let_78)))) (let ((_let_83 (tptp.ssList _let_32))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.ssItem _let_33))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84 _let_36))) (let ((_let_88 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_27))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf82 U)))) :args _let_90)) _let_91 :args (_let_83 false _let_27)))) (let ((_let_93 (_let_28))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf83 U)))) :args _let_93)) _let_94 :args (_let_85 false _let_28)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_84 _let_36 (not _let_87)))) _let_95 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_33 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_88))) _let_89 :args (_let_87 false _let_88)) :args (_let_36 false _let_85 false _let_83 false _let_87)))) (let ((_let_97 (not _let_38))) (let ((_let_98 (or _let_97 _let_86 _let_45))) (let ((_let_99 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (tptp.neq tptp.sk3 _let_40))) (let ((_let_102 (tptp.ssList _let_40))) (let ((_let_103 (not _let_102))) (let ((_let_104 (or _let_103 _let_44 _let_101 _let_41))) (let ((_let_105 (tptp.equalelemsP _let_40))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.segmentP _let_40 tptp.sk3))) (let ((_let_108 (not _let_107))) (let ((_let_109 (tptp.frontsegP tptp.sk4 _let_40))) (let ((_let_110 (not _let_109))) (let ((_let_111 (not _let_101))) (let ((_let_112 (or _let_103 _let_111 _let_110 _let_108 _let_106))) (let ((_let_113 (_let_9))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (tptp.segmentP _let_40 tptp.nil))) (let ((_let_116 (or _let_103 _let_115))) (let ((_let_117 (_let_26))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (tptp.ssList _let_37))) (let ((_let_120 (or _let_86 _let_45 _let_119))) (let ((_let_121 (_let_22))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_45 _let_86 _let_119 (not _let_120)))) _let_42 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_33 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_121)) _let_122 :args (_let_120 false _let_22)) :args (_let_119 false _let_29 false _let_85 false _let_120)))) (let ((_let_124 (not _let_119))) (let ((_let_125 (not _let_36))) (let ((_let_126 (not _let_35))) (let ((_let_127 (and _let_35 _let_36 _let_119))) (let ((_let_128 (ASSUME :args (_let_119)))) (let ((_let_129 (APPLY_UF tptp.ssList))) (let ((_let_130 (ASSUME :args (_let_36)))) (let ((_let_131 (ASSUME :args (_let_35)))) (let ((_let_132 (SYMM (SYMM _let_131)))) (let ((_let_133 (CONG (TRANS (CONG _let_132 :args (APPLY_UF tptp.hd)) (SYMM _let_130)) _let_72 :args (APPLY_UF tptp.cons)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_127)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_128 _let_130 _let_131) (SCOPE (TRUE_ELIM (TRANS (CONG _let_133 :args _let_129) (TRUE_INTRO _let_128))) :args (_let_119 _let_36 _let_35))) :args (_let_35 _let_36 _let_119))) :args (true _let_127)) :args ((or _let_126 _let_102 _let_125 _let_124))) _let_82 _let_96 _let_123 :args (_let_102 false _let_35 false _let_36 false _let_119)))) (let ((_let_135 (and _let_31 _let_115))) (let ((_let_136 (ASSUME :args (_let_115)))) (let ((_let_137 (tptp.app _let_37 _let_32))) (let ((_let_138 (tptp.frontsegP _let_137 _let_37))) (let ((_let_139 (= _let_34 _let_137))) (let ((_let_140 (tptp.ssList _let_137))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_84 _let_124 _let_141 _let_138))) (let ((_let_143 (forall ((U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.app U V))) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList _let_1)) (tptp.frontsegP _let_1 U)))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (or _let_86 _let_84 _let_139))) (let ((_let_146 (_let_17))) (let ((_let_147 (ASSUME :args _let_146))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_86 _let_84 _let_139 (not _let_145)))) _let_95 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_33 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_146))) _let_147 :args (_let_145 false _let_17)) :args (_let_139 false _let_85 false _let_83 false _let_145)))) (let ((_let_149 (and _let_13 _let_35 _let_139))) (let ((_let_150 (_let_13 _let_35 _let_139))) (let ((_let_151 (ASSUME :args (_let_139)))) (let ((_let_152 (SYMM (SYMM _let_151)))) (let ((_let_153 (and _let_35 _let_36 _let_139 _let_138))) (let ((_let_154 (ASSUME :args (_let_138)))) (let ((_let_155 (tptp.ssItem 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_let_165)))))) :args (_let_30 _let_31 _let_41 _let_163)) :args ((not (and _let_30 _let_31 _let_35 _let_36 _let_97 _let_41)) SB_LITERAL))) (CONG (REFL :args ((not _let_30))) (REFL :args (_let_66)) (REFL :args (_let_126)) (REFL :args (_let_125)) (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_38))) (REFL :args ((not _let_41))) :args (or))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_44 _let_103 _let_101 _let_41 (not _let_104)))) _let_50 _let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_103 _let_106 _let_111 _let_110 _let_108 (not _let_112)))) _let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_156 _let_105 (not _let_157)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_160)) :args ((or _let_51 _let_77 _let_155 (not _let_160)))) _let_75 _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk4 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(SCOPE (INSTANTIATE _let_48 :args (_let_40 tptp.sk3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_49))) _let_48 :args (_let_104 false _let_47)) :args (_let_41 false _let_14 false _let_102 true _let_101 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_45 _let_86 _let_97 (not _let_98)))) _let_42 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_33 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_99))) _let_100 :args (_let_98 false _let_99)) :args (_let_97 false _let_29 false _let_85 false _let_98)) _let_96 _let_82 _let_76 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))) _let_42 :args (_let_30 false _let_29)) :args (false false _let_41 true _let_38 false _let_36 false _let_35 false _let_31 false _let_30)) :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_29 (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) _let_28 _let_27 (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 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$$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (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 $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP 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))) _let_16 _let_15 (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))) (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))) (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))) (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))) (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_14 _let_13 _let_12 _let_11 _let_10 (tptp.equalelemsP tptp.sk3) _let_9 (or _let_7 _let_5) _let_8 _let_6 _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 76.93/77.13 )
% 76.93/77.14 % SZS output end Proof for SWC099-1
% 76.93/77.14 % cvc5---1.0.5 exiting
% 76.93/77.14 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------