TSTP Solution File: SWC117-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC117-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 20:23:22 EDT 2023
% Result : Unsatisfiable 76.98s 77.36s
% Output : Proof 76.98s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC117-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 17:22:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.shMEeYubzn/cvc5---1.0.5_21847.p...
% 0.22/0.53 ------- get file name : TPTP file name is SWC117-1
% 0.22/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21847.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.43/10.71 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.55/15.74 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.57/20.76 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.58/25.79 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.52/30.83 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.67/35.85 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.65/40.88 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.73/45.94 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.77/50.97 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.61/55.99 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.69/61.02 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 65.75/66.10 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 75.95/76.14 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 76.98/77.36 % SZS status Unsatisfiable for SWC117-1
% 76.98/77.36 % SZS output start Proof for SWC117-1
% 76.98/77.37 (
% 76.98/77.37 (let ((_let_1 (or (not (tptp.neq tptp.sk1 tptp.nil)) (not (tptp.segmentP tptp.sk2 tptp.sk1))))) (let ((_let_2 (or (not (= tptp.nil tptp.sk2)) (not (= tptp.nil tptp.sk1))))) (let ((_let_3 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq tptp.sk3 A)) (not (tptp.segmentP tptp.sk4 A)) (not (tptp.segmentP A tptp.sk3)) (not (tptp.equalelemsP A)))))) (let ((_let_4 (tptp.segmentP tptp.sk4 tptp.sk3))) (let ((_let_5 (= tptp.sk1 tptp.sk3))) (let ((_let_6 (= tptp.sk2 tptp.sk4))) (let ((_let_7 (tptp.ssList tptp.sk4))) (let ((_let_8 (tptp.ssList tptp.sk3))) (let ((_let_9 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))))) (let ((_let_10 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) (let ((_let_11 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))) (let ((_let_12 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_16 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))) (let ((_let_17 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))))) (let ((_let_21 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))) (let ((_let_22 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))) (let ((_let_23 (tptp.ssList tptp.nil))) (let ((_let_24 (tptp.skaf82 tptp.sk4))) (let ((_let_25 (tptp.skaf83 tptp.sk4))) (let ((_let_26 (tptp.cons _let_25 _let_24))) (let ((_let_27 (= tptp.sk4 _let_26))) (let ((_let_28 (= _let_25 (tptp.hd _let_26)))) (let ((_let_29 (tptp.cons _let_25 tptp.nil))) (let ((_let_30 (= _let_26 (tptp.app _let_29 _let_24)))) (let ((_let_31 (tptp.hd tptp.sk4))) (let ((_let_32 (tptp.cons _let_31 tptp.nil))) (let ((_let_33 (tptp.app tptp.nil _let_32))) (let ((_let_34 (= _let_32 _let_33))) (let ((_let_35 (tptp.segmentP tptp.sk4 _let_32))) (let ((_let_36 (tptp.segmentP (tptp.app _let_33 _let_24) _let_32))) (let ((_let_37 (= tptp.nil tptp.sk4))) (let ((_let_38 (not _let_7))) (let ((_let_39 (or _let_38 _let_27 _let_37))) (let ((_let_40 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (ASSUME :args (_let_7)))) (let ((_let_43 (= tptp.nil tptp.sk3))) (let ((_let_44 (not _let_37))) (let ((_let_45 (tptp.neq tptp.sk3 tptp.nil))) (let ((_let_46 (not _let_8))) (let ((_let_47 (not _let_23))) (let ((_let_48 (or _let_47 _let_46 _let_45 _let_43))) (let ((_let_49 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 (ASSUME :args (_let_8)))) (let ((_let_53 (not _let_45))) (let ((_let_54 (AND_INTRO (ASSUME :args (_let_5)) (ASSUME :args (_let_6))))) (let ((_let_55 (ASSUME :args (_let_23)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_47 _let_43 _let_45 _let_46 (not _let_48)))) _let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO _let_54 :args (_let_1 SB_DEFAULT SBA_FIXPOINT))) :args ((or (not _let_4) _let_53))) (ASSUME :args (_let_4)) :args (_let_53 false _let_4)) _let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.nil tptp.sk3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_50 :args (_let_48 false _let_49)) :args (_let_43 false _let_23 true _let_45 false _let_8 false _let_48)))) (let ((_let_57 (not _let_43))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO _let_54 :args (_let_2 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_57 _let_44))) _let_56 :args (_let_44 false _let_43)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_37 _let_38 _let_27 (not _let_39)))) _let_58 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_27 true _let_37 false _let_7 false _let_39)))) (let ((_let_60 (tptp.ssList _let_24))) (let ((_let_61 (not _let_60))) (let ((_let_62 (tptp.ssItem _let_25))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61 _let_28))) (let ((_let_65 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (let ((_let_66 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_67 (_let_21))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf82 U)))) :args _let_67)) _let_68 :args (_let_60 false _let_21)))) (let ((_let_70 (_let_22))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf83 U)))) :args _let_70)) _let_71 :args (_let_62 false _let_22)))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_61 _let_28 (not _let_64)))) _let_72 _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_25 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_65))) _let_66 :args (_let_64 false _let_65)) :args (_let_28 false _let_62 false _let_60 false _let_64)))) (let ((_let_74 (or _let_63 _let_61 _let_30))) (let ((_let_75 (_let_10))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (tptp.ssList _let_32))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_34))) (let ((_let_80 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (tptp.ssList _let_29))) (let ((_let_83 (or _let_63 _let_47 _let_82))) (let ((_let_84 (_let_15))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (not _let_28))) (let ((_let_87 (not _let_27))) (let ((_let_88 (and _let_27 _let_28 _let_82))) (let ((_let_89 (ASSUME :args (_let_82)))) (let ((_let_90 (APPLY_UF tptp.cons))) (let ((_let_91 (REFL :args (tptp.nil)))) (let ((_let_92 (ASSUME :args (_let_28)))) (let ((_let_93 (SYMM (SYMM _let_92)))) (let ((_let_94 (APPLY_UF tptp.hd))) (let ((_let_95 (ASSUME :args (_let_27)))) (let ((_let_96 (SYMM _let_95))) (let ((_let_97 (CONG (TRANS (CONG (SYMM _let_96) :args _let_94) (SYMM _let_93)) _let_91 :args _let_90))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_88)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_89 _let_92 _let_95) (SCOPE (TRUE_ELIM (TRANS (CONG _let_97 :args (APPLY_UF tptp.ssList)) (TRUE_INTRO _let_89))) :args (_let_82 _let_28 _let_27))) :args (_let_27 _let_28 _let_82))) :args (true _let_88)) :args ((or _let_87 _let_77 _let_86 (not _let_82)))) _let_59 _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_47 _let_63 _let_82 (not _let_83)))) _let_55 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_25 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_83 false _let_15)) :args (_let_82 false _let_23 false _let_62 false _let_83)) :args (_let_77 false _let_27 false _let_28 false _let_82)))) (let ((_let_99 (tptp.equalelemsP _let_32))) (let ((_let_100 (not _let_99))) (let ((_let_101 (tptp.segmentP _let_32 tptp.sk3))) (let ((_let_102 (not _let_101))) (let ((_let_103 (not _let_35))) (let ((_let_104 (tptp.neq tptp.sk3 _let_32))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_78 _let_105 _let_103 _let_102 _let_100))) (let ((_let_107 (_let_3))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 (tptp.segmentP _let_32 tptp.nil))) (let ((_let_110 (or _let_78 _let_109))) (let ((_let_111 (_let_20))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 (and _let_43 _let_109))) (let ((_let_114 (ASSUME :args (_let_109)))) (let ((_let_115 (APPLY_UF tptp.segmentP))) (let ((_let_116 (ASSUME :args (_let_43)))) (let ((_let_117 (SYMM _let_116))) (let ((_let_118 (REFL :args (_let_32)))) (let ((_let_119 (= tptp.sk3 _let_32))) (let ((_let_120 (or _let_78 _let_46 _let_104 _let_119))) (let ((_let_121 (= tptp.nil _let_29))) (let ((_let_122 (not _let_119))) (let ((_let_123 (not _let_121))) (let ((_let_124 (or _let_123 _let_63 _let_47))) (let ((_let_125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (or))) (let ((_let_128 (REFL :args (_let_86)))) (let ((_let_129 (REFL :args (_let_87)))) (let ((_let_130 (and _let_43 _let_27 _let_28 _let_123))) (let ((_let_131 (ASSUME :args (_let_123)))) (let ((_let_132 (tptp.ssItem _let_31))) (let ((_let_133 (not _let_132))) (let ((_let_134 (or _let_133 _let_99))) (let ((_let_135 (_let_18))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 (or _let_38 _let_132 _let_37))) (let ((_let_138 (_let_16))) (let ((_let_139 (ASSUME :args _let_138))) (let ((_let_140 (tptp.segmentP _let_32 _let_32))) (let ((_let_141 (not _let_140))) (let ((_let_142 (or _let_141 _let_61 _let_47 _let_78 _let_78 _let_36))) (let ((_let_143 (_let_9))) (let ((_let_144 (ASSUME :args _let_143))) (let ((_let_145 (or _let_78 _let_140))) (let ((_let_146 (_let_19))) (let ((_let_147 (ASSUME :args _let_146))) (let ((_let_148 (not _let_36))) (let ((_let_149 (not _let_34))) (let ((_let_150 (not _let_30))) (let ((_let_151 (ASSUME :args (_let_36)))) (let ((_let_152 (ASSUME :args (_let_34)))) (let ((_let_153 (ASSUME :args (_let_30)))) (let ((_let_154 (ASSUME :args (_let_103)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_151 _let_152 _let_95 _let_92 _let_153 _let_154) :args (_let_27 _let_28 _let_30 _let_34 _let_103 _let_36)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_154)) (CONG (TRANS _let_95 (SYMM (SYMM _let_153)) (CONG (TRANS (CONG (TRANS _let_93 (CONG _let_96 :args _let_94)) _let_91 :args _let_90) (SYMM (SYMM _let_152))) (REFL :args (_let_24)) :args (APPLY_UF tptp.app))) _let_118 :args _let_115) (TRUE_INTRO _let_151))) :args (_let_36 _let_34 _let_27 _let_28 _let_30 _let_103)) :args ((not (and _let_27 _let_28 _let_30 _let_34 _let_103 _let_36)) SB_LITERAL))) (CONG _let_129 _let_128 (REFL :args (_let_150)) (REFL :args (_let_149)) (MACRO_SR_PRED_INTRO :args ((= (not _let_103) _let_35))) (REFL :args (_let_148)) :args _let_127)) :args ((or _let_87 _let_86 _let_150 _let_35 _let_149 _let_148))) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_142))) :args ((or _let_47 _let_61 _let_78 _let_141 _let_36 (not _let_142)))) _let_55 _let_69 _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_78 _let_140 (not _let_145)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_146)) _let_147 :args (_let_145 false _let_19)) :args (_let_140 false _let_77 false _let_145)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_32 _let_32 _let_24 tptp.nil QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_143)) _let_144 :args (_let_142 false _let_9)) :args (_let_36 false _let_23 false _let_60 false _let_77 false _let_140 false _let_142)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_78 _let_100 _let_105 _let_103 _let_102 (not _let_106)))) _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_133 _let_99 (not _let_134)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_37 _let_38 _let_132 (not _let_137)))) _let_58 _let_42 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_138)) _let_139 :args (_let_137 false _let_16)) :args (_let_132 true _let_37 false _let_7 false _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (_let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssItem U) false))))) :args _let_135)) _let_136 :args (_let_134 false _let_18)) :args (_let_99 false _let_132 false _let_134)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_120)) :args ((or _let_46 _let_78 _let_104 _let_119 (not _let_120)))) _let_52 _let_98 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_130)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_116 _let_131 _let_92 _let_95) (SCOPE (FALSE_ELIM (TRANS (CONG _let_117 _let_97 :args (=)) (FALSE_INTRO _let_131))) :args (_let_43 _let_123 _let_28 _let_27))) :args (_let_43 _let_27 _let_28 _let_123))) :args (true _let_130)) (CONG (REFL :args (_let_57)) _let_129 _let_128 (MACRO_SR_PRED_INTRO :args ((= (not _let_123) _let_121))) (REFL :args (_let_122)) :args _let_127)) _let_56 _let_59 _let_73 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_47 _let_63 _let_123 (not _let_124)))) _let_55 _let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_25 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_125))) _let_126 :args (_let_124 false _let_125)) :args (_let_123 false _let_23 false _let_62 false _let_124)) :args (_let_122 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(_let_110 false _let_20)) :args (_let_109 false _let_77 false _let_110)) :args (_let_101 false _let_43 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList A) false))))) :args _let_107)) _let_108 :args (_let_106 false _let_3)) :args (_let_103 false _let_77 false _let_99 false _let_104 false _let_101 false _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_78 _let_34 (not _let_79)))) _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_34 false _let_77 false _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_63 _let_61 _let_30 (not _let_74)))) _let_72 _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_25 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_75))) _let_76 :args (_let_74 false _let_10)) :args (_let_30 false _let_62 false _let_60 false _let_74)) _let_73 _let_59 :args (false false _let_36 true _let_35 false _let_34 false _let_30 false _let_28 false _let_27)) :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_23 (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) _let_22 _let_21 (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 $$unsorted)) (tptp.ssList (tptp.skaf58 U))) 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(tptp.rearsegP tptp.nil U))) (forall ((U $$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_15 (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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) _let_14 _let_13 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) _let_12 (forall ((U $$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 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(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 $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$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 $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) (forall ((U $$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))) _let_9 (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_8 _let_7 _let_6 _let_5 _let_4 (tptp.equalelemsP tptp.sk3) _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 76.98/77.37 )
% 76.98/77.38 % SZS output end Proof for SWC117-1
% 76.98/77.38 % cvc5---1.0.5 exiting
% 76.98/77.38 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------