TSTP Solution File: SWC290-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC290-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n003.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 20:24:31 EDT 2023
% Result : Unsatisfiable 79.26s 79.46s
% Output : Proof 79.31s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : SWC290-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n003.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 17:15:25 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.vqoopSatoI/cvc5---1.0.5_5363.p...
% 0.21/0.53 ------- get file name : TPTP file name is SWC290-1
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5363.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.49/10.73 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.47/15.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.60/20.78 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.62/25.81 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.66/30.86 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.71/35.89 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.69/40.93 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 45.78/46.02 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.86/51.06 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 55.86/56.09 --- Run --relevant-triggers --full-saturate-quant at 5...
% 60.96/61.13 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.04/66.24 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.07/76.27 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 79.26/79.46 % SZS status Unsatisfiable for SWC290-1
% 79.26/79.46 % SZS output start Proof for SWC290-1
% 79.31/79.47 (
% 79.31/79.47 (let ((_let_1 (not (tptp.strictorderedP tptp.sk1)))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app B (tptp.cons A tptp.nil)) C) tptp.sk3)) (not (tptp.ssItem D)) (tptp.lt D A) (not (tptp.memberP B D)))))) (let ((_let_3 (= tptp.sk1 tptp.sk3))) (let ((_let_4 (= tptp.sk2 tptp.sk4))) (let ((_let_5 (tptp.ssList tptp.sk3))) (let ((_let_6 (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)))))) (let ((_let_7 (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))))) (let ((_let_8 (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))))) (let ((_let_9 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))))) (let ((_let_10 (forall ((U $$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))))) (let ((_let_11 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))))) (let ((_let_12 (forall ((U $$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_13 (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))))) (let ((_let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))))) (let ((_let_15 (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_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))))) (let ((_let_17 (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf64 U) (tptp.skaf65 U))) (not (tptp.ssList U)) (tptp.totalorderedP U))))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf69 U) (tptp.skaf70 U))) (not (tptp.ssList U)) (tptp.strictorderedP U))))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf49 U) (tptp.skaf50 U)))))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))))) (let ((_let_21 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_22 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) (let ((_let_23 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))) (let ((_let_24 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))))) (let ((_let_25 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))))) (let ((_let_26 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))))) (let ((_let_27 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))))) (let ((_let_28 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))))) (let ((_let_29 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))))) (let ((_let_30 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))))) (let ((_let_31 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))))) (let ((_let_32 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))))) (let ((_let_33 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))))) (let ((_let_34 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))))) (let ((_let_35 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))))) (let ((_let_36 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))))) (let ((_let_37 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))))) (let ((_let_38 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))))) (let ((_let_39 (tptp.ssList tptp.nil))) (let ((_let_40 (tptp.skaf53 tptp.sk3))) (let ((_let_41 (tptp.skaf50 tptp.sk3))) (let ((_let_42 (tptp.cons _let_41 tptp.nil))) (let ((_let_43 (tptp.app _let_42 _let_40))) (let ((_let_44 (tptp.cons _let_41 _let_40))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (tptp.skaf52 tptp.sk3))) (let ((_let_47 (tptp.skaf49 tptp.sk3))) (let ((_let_48 (tptp.cons _let_47 _let_46))) (let ((_let_49 (tptp.skaf51 tptp.sk3))) (let ((_let_50 (tptp.app _let_49 _let_48))) (let ((_let_51 (= (tptp.app (tptp.app _let_50 _let_42) _let_40) (tptp.app _let_50 _let_43)))) (let ((_let_52 (= tptp.sk3 (tptp.app _let_50 _let_44)))) (let ((_let_53 (= _let_41 _let_47))) (let ((_let_54 (= tptp.sk3 (tptp.app (tptp.app _let_50 (tptp.cons _let_47 tptp.nil)) _let_40)))) (let ((_let_55 (tptp.ssList _let_40))) (let ((_let_56 (not _let_55))) (let ((_let_57 (tptp.ssItem _let_41))) (let ((_let_58 (not _let_57))) (let ((_let_59 (or _let_58 _let_56 _let_45))) (let ((_let_60 (_let_15))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 ((tptp.cons U V)))) (let ((_let_63 (_let_28))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf53 U)))) :args _let_63)) _let_64 :args (_let_55 false _let_28)))) (let ((_let_66 (_let_25))) (let ((_let_67 (ASSUME :args _let_66))) (let ((_let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf50 U)))) :args _let_66)) _let_67 :args (_let_57 false _let_25)))) (let ((_let_69 (tptp.ssList _let_50))) (let ((_let_70 (not _let_69))) (let ((_let_71 (tptp.ssList _let_42))) (let ((_let_72 (not _let_71))) (let ((_let_73 (or _let_56 _let_72 _let_70 _let_51))) (let ((_let_74 (_let_12))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((tptp.app W (tptp.app V U))))) (let ((_let_77 (not _let_39))) (let ((_let_78 (or _let_58 _let_77 _let_71))) (let ((_let_79 (_let_21))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 ((tptp.cons U V)))) (let ((_let_82 (ASSUME :args (_let_39)))) (let ((_let_83 (tptp.ssList _let_49))) (let ((_let_84 (not _let_83))) (let ((_let_85 (tptp.ssList _let_48))) (let ((_let_86 (not _let_85))) (let ((_let_87 (or _let_86 _let_84 _let_69))) (let ((_let_88 (_let_22))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 ((tptp.app V U)))) (let ((_let_91 (_let_26))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf51 U)))) :args _let_91)) _let_92 :args (_let_83 false _let_26)))) (let ((_let_94 (tptp.ssList _let_46))) (let ((_let_95 (not _let_94))) (let ((_let_96 (tptp.ssItem _let_47))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_95 _let_85))) (let ((_let_99 (_let_27))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf52 U)))) :args _let_99)) _let_100 :args (_let_94 false _let_27)))) (let ((_let_102 (_let_24))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf49 U)))) :args _let_102)) _let_103 :args (_let_96 false _let_24)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_84 _let_69 (not _let_87)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_95 _let_85 (not _let_98)))) _let_104 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_47 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_98 false _let_21)) :args (_let_85 false _let_96 false _let_94 false _let_98)) _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_48 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_90)) :args _let_88)) _let_89 :args (_let_87 false _let_22)) :args (_let_69 false _let_85 false _let_83 false _let_87)))) (let ((_let_106 (tptp.cyclefreeP tptp.sk3))) (let ((_let_107 (not _let_5))) (let ((_let_108 (or _let_107 _let_106 _let_52))) (let ((_let_109 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= U (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U)))))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (tptp.skaf73 tptp.sk3))) (let ((_let_112 (tptp.skaf70 tptp.sk3))) (let ((_let_113 (tptp.skaf72 tptp.sk3))) (let ((_let_114 (tptp.skaf69 tptp.sk3))) (let ((_let_115 (tptp.skaf71 tptp.sk3))) (let ((_let_116 (tptp.app (tptp.app _let_115 (tptp.cons _let_114 _let_113)) (tptp.cons _let_112 _let_111)))) (let ((_let_117 (tptp.cyclefreeP _let_116))) (let ((_let_118 (= tptp.sk3 _let_116))) (let ((_let_119 (tptp.leq _let_114 _let_112))) (let ((_let_120 (not _let_117))) (let ((_let_121 (tptp.ssList _let_116))) (let ((_let_122 (not _let_121))) (let ((_let_123 (tptp.totalorderedP _let_116))) (let ((_let_124 (not _let_123))) (let ((_let_125 (tptp.ssItem _let_114))) (let ((_let_126 (not _let_125))) (let ((_let_127 (tptp.ssItem _let_112))) (let ((_let_128 (not _let_127))) (let ((_let_129 (tptp.ssList _let_115))) (let ((_let_130 (not _let_129))) (let ((_let_131 (tptp.ssList _let_113))) (let ((_let_132 (not _let_131))) (let ((_let_133 (tptp.ssList _let_111))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_132 _let_130 _let_128 _let_126 _let_124 _let_122 _let_119))) (let ((_let_136 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)))) (or (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP _let_1)) (not (tptp.ssList _let_1)) (tptp.leq V X)))))) (let ((_let_137 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_138 (tptp.totalorderedP tptp.sk3))) (let ((_let_139 (tptp.strictorderedP tptp.sk3))) (let ((_let_140 (or _let_107 _let_139 _let_118))) (let ((_let_141 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= U (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U)))))))) (let ((_let_142 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (ASSUME :args (_let_5)))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO (AND_INTRO (ASSUME :args (_let_3)) (ASSUME :args (_let_4))) :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_140)) :args ((or _let_139 _let_107 _let_118 (not _let_140)))) _let_144 _let_143 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_141))) _let_142 :args (_let_140 false _let_141)) :args (_let_118 true _let_139 false _let_5 false _let_140)))) (let ((_let_146 (tptp.skaf65 tptp.sk3))) (let ((_let_147 (tptp.skaf64 tptp.sk3))) (let ((_let_148 (tptp.leq _let_147 _let_146))) (let ((_let_149 (not _let_148))) (let ((_let_150 (or _let_149 _let_107 _let_138))) (let ((_let_151 (tptp.skaf68 tptp.sk3))) (let ((_let_152 (tptp.cons _let_146 _let_151))) (let ((_let_153 (tptp.skaf67 tptp.sk3))) (let ((_let_154 (tptp.cons _let_147 _let_153))) (let ((_let_155 (tptp.skaf66 tptp.sk3))) (let ((_let_156 (tptp.app _let_155 _let_154))) (let ((_let_157 (= tptp.sk3 (tptp.app _let_156 _let_152)))) (let ((_let_158 (or _let_107 _let_138 _let_157))) (let ((_let_159 (tptp.ssItem _let_147))) (let ((_let_160 (not _let_159))) (let ((_let_161 (tptp.ssItem _let_146))) (let ((_let_162 (not _let_161))) (let ((_let_163 (tptp.lt _let_147 _let_146))) (let ((_let_164 (not _let_163))) (let ((_let_165 (or _let_164 _let_162 _let_160 _let_148))) (let ((_let_166 (tptp.ssList _let_151))) (let ((_let_167 (tptp.ssList _let_156))) (let ((_let_168 (tptp.memberP _let_156 _let_147))) (let ((_let_169 (not _let_168))) (let ((_let_170 (tptp.cons _let_146 tptp.nil))) (let ((_let_171 (tptp.app (tptp.app _let_156 _let_170) _let_151))) (let ((_let_172 (= tptp.sk3 _let_171))) (let ((_let_173 (not _let_172))) (let ((_let_174 (not _let_166))) (let ((_let_175 (not _let_167))) (let ((_let_176 (or _let_162 _let_175 _let_174 _let_173 _let_160 _let_163 _let_169))) (let ((_let_177 (tptp.app _let_170 _let_151))) (let ((_let_178 (= _let_152 _let_177))) (let ((_let_179 (= _let_171 (tptp.app _let_156 _let_177)))) (let ((_let_180 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(let ((_let_288 (ASSUME :args _let_287))) (let ((_let_289 (tptp.memberP _let_50 _let_47))) (let ((_let_290 (not _let_289))) (let ((_let_291 (tptp.lt _let_47 _let_47))) (let ((_let_292 (not _let_54))) (let ((_let_293 (or _let_97 _let_70 _let_56 _let_292 _let_97 _let_291 _let_290))) (let ((_let_294 (not _let_291))) (let ((_let_295 (or _let_294 _let_97))) (let ((_let_296 (_let_23))) (let ((_let_297 (ASSUME :args _let_296))) (let ((_let_298 (or _let_95 _let_84 _let_97 _let_70 _let_289))) (let ((_let_299 (ASSUME :args (_let_292)))) (let ((_let_300 (ASSUME :args (_let_53)))) (let ((_let_301 (REFL :args (_let_50)))) (let ((_let_302 (ASSUME :args (_let_51)))) (let ((_let_303 (ASSUME :args (_let_45)))) (let ((_let_304 (ASSUME :args (_let_52)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_300 _let_302 _let_303 _let_304) (SCOPE (TRANS (SYMM (SYMM _let_304)) (CONG _let_301 (SYMM (SYMM _let_303)) :args _let_225) (SYMM _let_302) (CONG (CONG _let_301 (CONG (SYMM (SYMM _let_300)) (REFL :args (tptp.nil)) :args (APPLY_UF tptp.cons)) :args _let_225) (REFL :args (_let_40)) :args _let_225)) :args (_let_53 _let_51 _let_45 _let_52))) _let_299) :args (_let_52 _let_45 _let_53 _let_51 _let_292)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO (SYMM (SYMM (ASSUME :args (_let_54)))))) (FALSE_INTRO _let_299))) :args (_let_54 _let_292)) :args ((not (and _let_52 _let_45 _let_53 _let_51 _let_292)) SB_LITERAL))) (CONG (REFL :args ((not _let_52))) (REFL :args ((not _let_45))) (REFL :args ((not _let_53))) (REFL :args ((not _let_51))) (MACRO_SR_PRED_INTRO :args ((= (not _let_292) _let_54))) :args _let_230)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_293))) :args ((or _let_56 _let_97 _let_70 _let_290 _let_291 _let_292 (not _let_293)))) _let_65 _let_104 _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_298)) :args ((or _let_97 _let_95 _let_84 _let_70 _let_289 (not _let_298)))) _let_104 _let_101 _let_93 _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_212 :args (_let_49 _let_47 _let_46 QUANTIFIERS_INST_E_MATCHING _let_214)) :args _let_213)) _let_212 :args (_let_298 false _let_211)) :args (_let_289 false _let_96 false _let_94 false _let_83 false _let_69 false _let_298)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_295)) :args ((or _let_97 _let_294 (not _let_295)))) _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_297 :args (_let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssItem U) false))))) :args _let_296)) _let_297 :args (_let_295 false _let_23)) :args (_let_294 false _let_96 false _let_295)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_216 :args (_let_47 _let_50 _let_40 _let_47 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_217)) _let_216 :args (_let_293 false _let_215)) :args (_let_292 false _let_55 false _let_96 false _let_69 false _let_289 true _let_291 false _let_293)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_280)) :args ((or _let_279 _let_277 _let_58 _let_97 _let_53 (not _let_280)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_286)) :args ((or _let_107 _let_106 _let_278 (not _let_286)))) _let_143 _let_275 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_288 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_287)) _let_288 :args (_let_286 false _let_20)) :args (_let_278 false _let_5 true _let_106 false _let_286)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_283)) :args ((or _let_107 _let_106 _let_276 (not _let_283)))) _let_143 _let_275 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_285 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_284)) _let_285 :args (_let_283 false _let_19)) :args (_let_276 false _let_5 true _let_106 false _let_283)) _let_68 _let_104 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_282 :args (_let_41 _let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.leq U V) false))))) :args (_let_281))) _let_282 :args (_let_280 false _let_281)) :args (_let_53 false _let_278 false _let_276 false _let_57 false _let_96 false _let_280)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_107 _let_106 _let_52 (not _let_108)))) _let_143 _let_275 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (tptp.sk3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_109))) _let_110 :args (_let_108 false _let_109)) :args (_let_52 false _let_5 true _let_106 false _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_56 _let_70 _let_72 _let_51 (not _let_73)))) _let_65 _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_77 _let_58 _let_71 (not _let_78)))) _let_82 _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_41 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_78 false _let_21)) :args (_let_71 false _let_39 false _let_57 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_40 _let_42 _let_50 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_73 false _let_12)) :args (_let_51 false _let_55 false _let_69 false _let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_59)) :args ((or _let_58 _let_56 _let_45 (not _let_59)))) _let_68 _let_65 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_61 :args (_let_41 _let_40 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60))) _let_61 :args (_let_59 false _let_15)) :args (_let_45 false _let_57 false _let_55 false _let_59)) :args (false true _let_54 false _let_53 false _let_52 false _let_51 false _let_45)) :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_39 (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 $$unsorted)) (tptp.ssItem (tptp.skaf74 U))) _let_38 _let_37 _let_36 _let_35 _let_34 _let_33 _let_32 _let_31 _let_30 _let_29 (forall ((U $$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 $$unsorted)) (tptp.ssItem (tptp.skaf54 U))) _let_28 _let_27 _let_26 _let_25 _let_24 (forall ((U $$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))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (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))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (forall ((U $$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))) _let_23 (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))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) _let_22 _let_21 _let_20 _let_19 (forall ((U $$unsorted)) (or (not (= (tptp.skaf79 U) (tptp.skaf78 U))) (not (tptp.ssList U)) (tptp.equalelemsP U))) _let_18 _let_17 (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf60 U) (tptp.skaf59 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.lt (tptp.skaf59 U) (tptp.skaf60 U))) (not (tptp.ssList U)) (tptp.strictorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf55 U) (tptp.skaf54 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (forall ((U $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$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))) _let_16 (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 $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.strictorderedP (tptp.cons V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.totalorderedP (tptp.cons V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) _let_15 _let_14 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP 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.totalorderedP V) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) _let_13 (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))) (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_12 (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 $$unsorted)) (let ((_let_1 (tptp.skaf74 U))) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons _let_1 (tptp.skaf76 U))) (tptp.cons _let_1 (tptp.skaf77 U))) U)))) _let_11 _let_10 (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))) _let_9 (forall ((U $$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 $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))) _let_8 (forall ((U $$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 $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) _let_7 (forall ((U $$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 $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))) _let_6 (tptp.ssList tptp.sk1) (tptp.ssList tptp.sk2) _let_5 (tptp.ssList tptp.sk4) _let_4 _let_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (not (tptp.ssList C)) (not (= (tptp.app (tptp.app B (tptp.cons A tptp.nil)) C) tptp.sk3)) (not (tptp.ssItem D)) (tptp.lt A D) (not (tptp.memberP C D)))) _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 79.31/79.47 )
% 79.31/79.49 % SZS output end Proof for SWC290-1
% 79.31/79.49 % cvc5---1.0.5 exiting
% 79.31/79.49 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------