TSTP Solution File: SWC162-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC162-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 20:23:41 EDT 2023
% Result : Unsatisfiable 78.41s 79.93s
% Output : Proof 78.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.99 % Problem : SWC162-1 : TPTP v8.1.2. Released v2.4.0.
% 0.19/1.08 % Command : do_cvc5 %s %d
% 0.20/1.33 % Computer : n001.cluster.edu
% 0.20/1.33 % Model : x86_64 x86_64
% 0.20/1.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/1.33 % Memory : 8042.1875MB
% 0.20/1.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.20/1.33 % CPULimit : 300
% 0.20/1.33 % WCLimit : 300
% 0.20/1.33 % DateTime : Mon Aug 28 16:23:51 EDT 2023
% 0.26/1.35 % CPUTime :
% 0.44/1.82 %----Proving TF0_NAR, FOF, or CNF
% 0.46/1.83 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.m0XBep0vYY/cvc5---1.0.5_4058.p...
% 0.46/1.85 ------- get file name : TPTP file name is SWC162-1
% 0.46/1.85 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4058.smt2...
% 0.46/1.85 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.70/12.16 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.80/17.19 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.84/22.27 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.81/27.30 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.99/32.48 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 36.06/37.53 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 41.11/42.60 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.49/47.93 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.56/53.02 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.59/58.05 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.69/63.13 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.76/68.21 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.76/78.28 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 78.41/79.93 % SZS status Unsatisfiable for SWC162-1
% 78.41/79.93 % SZS output start Proof for SWC162-1
% 78.41/79.96 (
% 78.41/79.96 (let ((_let_1 (tptp.neq tptp.sk4 tptp.nil))) (let ((_let_2 (not _let_1))) (let ((_let_3 (or (tptp.singletonP tptp.sk3) _let_2))) (let ((_let_4 (tptp.leq tptp.sk5 tptp.sk6))) (let ((_let_5 (not _let_4))) (let ((_let_6 (tptp.leq tptp.sk6 tptp.sk5))) (let ((_let_7 (tptp.cons tptp.sk6 tptp.nil))) (let ((_let_8 (tptp.cons tptp.sk5 tptp.nil))) (let ((_let_9 (tptp.app tptp.sk7 _let_8))) (let ((_let_10 (tptp.app _let_9 tptp.sk8))) (let ((_let_11 (tptp.app _let_10 _let_7))) (let ((_let_12 (tptp.app _let_11 tptp.sk9))) (let ((_let_13 (= _let_12 tptp.sk1))) (let ((_let_14 (tptp.ssList tptp.sk9))) (let ((_let_15 (tptp.ssList tptp.sk8))) (let ((_let_16 (tptp.ssList tptp.sk7))) (let ((_let_17 (tptp.ssItem tptp.sk6))) (let ((_let_18 (tptp.ssItem tptp.sk5))) (let ((_let_19 (tptp.segmentP tptp.sk4 tptp.sk3))) (let ((_let_20 (= tptp.sk1 tptp.sk3))) (let ((_let_21 (= tptp.sk2 tptp.sk4))) (let ((_let_22 (tptp.ssList tptp.sk4))) (let ((_let_23 (tptp.ssList tptp.sk1))) (let ((_let_24 (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 ((_let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))))) (let ((_let_28 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) (let ((_let_29 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) (let ((_let_30 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))) (let ((_let_32 (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_33 (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))))) (let ((_let_34 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_35 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_36 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))) (let ((_let_37 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))) (let ((_let_38 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_39 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) (let ((_let_40 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))) (let ((_let_41 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_42 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))) (let ((_let_43 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))) (let ((_let_44 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))) (let ((_let_45 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))) (let ((_let_46 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))))) (let ((_let_47 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))) (let ((_let_48 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))) (let ((_let_49 (tptp.ssList tptp.nil))) (let ((_let_50 (tptp.lt tptp.sk5 tptp.sk5))) (let ((_let_51 (tptp.lt tptp.sk5 tptp.sk6))) (let ((_let_52 (= tptp.sk5 tptp.sk6))) (let ((_let_53 (not _let_18))) (let ((_let_54 (not _let_50))) (let ((_let_55 (or _let_54 _let_53))) (let ((_let_56 (_let_43))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (ASSUME :args (_let_18)))) (let ((_let_59 (tptp.app tptp.nil tptp.sk9))) (let ((_let_60 (tptp.app tptp.nil tptp.sk8))) (let ((_let_61 (tptp.app (tptp.app tptp.sk7 (tptp.cons tptp.sk5 _let_60)) (tptp.cons tptp.sk6 _let_59)))) (let ((_let_62 (tptp.ssList _let_61))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.strictorderedP _let_61))) (let ((_let_65 (not _let_64))) (let ((_let_66 (not _let_17))) (let ((_let_67 (not _let_16))) (let ((_let_68 (tptp.ssList _let_60))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.ssList _let_59))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_67 _let_66 _let_53 _let_65 _let_63 _let_51))) (let ((_let_73 (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.strictorderedP _let_1)) (not (tptp.ssList _let_1)) (tptp.lt V X)))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (tptp.app _let_8 tptp.sk8))) (let ((_let_76 (= _let_75 (tptp.cons tptp.sk5 tptp.sk8)))) (let ((_let_77 (tptp.app _let_7 tptp.sk9))) (let ((_let_78 (= _let_77 (tptp.cons tptp.sk6 tptp.sk9)))) (let ((_let_79 (= _let_12 (tptp.app _let_10 _let_77)))) (let ((_let_80 (= _let_10 (tptp.app tptp.sk7 _let_75)))) (let ((_let_81 (= tptp.sk9 _let_59))) (let ((_let_82 (= tptp.sk8 _let_60))) (let ((_let_83 (= tptp.sk7 (tptp.app tptp.nil tptp.sk7)))) (let ((_let_84 (tptp.ssList _let_12))) (let ((_let_85 (not _let_15))) (let ((_let_86 (or _let_53 _let_85 _let_76))) (let ((_let_87 (_let_28))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 ((tptp.app (tptp.cons U tptp.nil) V)))) (let ((_let_90 (ASSUME :args (_let_15)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_53 _let_85 _let_76 (not _let_86)))) _let_58 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.sk5 tptp.sk8 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_87)) _let_88 :args (_let_86 false _let_28)) :args (_let_76 false _let_18 false _let_15 false _let_86)))) (let ((_let_92 (not _let_14))) (let ((_let_93 (or _let_66 _let_92 _let_78))) (let ((_let_94 (ASSUME :args (_let_14)))) (let ((_let_95 (ASSUME :args (_let_17)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_66 _let_92 _let_78 (not _let_93)))) _let_95 _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.sk6 tptp.sk9 QUANTIFIERS_INST_E_MATCHING _let_89)) :args _let_87)) _let_88 :args (_let_93 false _let_28)) :args (_let_78 false _let_17 false _let_14 false _let_93)))) (let ((_let_97 (tptp.ssList _let_10))) (let ((_let_98 (not _let_97))) (let ((_let_99 (tptp.ssList _let_7))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_92 _let_100 _let_98 _let_79))) (let ((_let_102 (_let_26))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 ((tptp.app (tptp.app W V) U)))) (let ((_let_105 (tptp.ssList _let_9))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_85 _let_106 _let_97))) (let ((_let_108 (_let_39))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 ((tptp.app V U)))) (let ((_let_111 (tptp.ssList _let_8))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_67 _let_105))) (let ((_let_114 (not _let_49))) (let ((_let_115 (or _let_53 _let_114 _let_111))) (let ((_let_116 (_let_38))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 ((tptp.cons U V)))) (let ((_let_119 (ASSUME :args (_let_49)))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_114 _let_53 _let_111 (not _let_115)))) _let_119 _let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_116)) _let_117 :args (_let_115 false _let_38)) :args (_let_111 false _let_49 false _let_18 false _let_115)))) (let ((_let_121 (ASSUME :args (_let_16)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_85 _let_106 _let_97 (not _let_107)))) _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_67 _let_112 _let_105 (not _let_113)))) _let_121 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_8 tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_108)) _let_109 :args (_let_113 false _let_39)) :args (_let_105 false _let_16 false _let_111 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.sk8 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_110)) :args _let_108)) _let_109 :args (_let_107 false _let_39)) :args (_let_97 false _let_15 false _let_105 false _let_107)))) (let ((_let_123 (or _let_66 _let_114 _let_99))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_123)) :args ((or _let_114 _let_66 _let_99 (not _let_123)))) _let_119 _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk6 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_118)) :args _let_116)) _let_117 :args (_let_123 false _let_38)) :args (_let_99 false _let_49 false _let_17 false _let_123)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_92 _let_100 _let_98 _let_79 (not _let_101)))) _let_94 _let_124 _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk9 _let_7 _let_10 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_101 false _let_26)) :args (_let_79 false _let_14 false _let_99 false _let_97 false _let_101)))) (let ((_let_126 (or _let_85 _let_112 _let_67 _let_80))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_67 _let_85 _let_112 _let_80 (not _let_126)))) _let_121 _let_90 _let_120 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.sk8 _let_8 tptp.sk7 QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_126 false _let_26)) :args (_let_80 false _let_16 false _let_15 false _let_111 false _let_126)))) (let ((_let_128 (or _let_92 _let_81))) (let ((_let_129 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (_let_129))) (let ((_let_132 ((not (= (tptp.ssList U) false))))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_92 _let_81 (not _let_128)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.sk9 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_128 false _let_129)) :args (_let_81 false _let_14 false _let_128)))) (let ((_let_134 (or _let_85 _let_82))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_85 _let_82 (not _let_134)))) _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.sk8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_134 false _let_129)) :args (_let_82 false _let_15 false _let_134)))) (let ((_let_136 (or _let_67 _let_83))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_67 _let_83 (not _let_136)))) _let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_132)) :args _let_131)) _let_130 :args (_let_136 false _let_129)) :args (_let_83 false _let_16 false _let_136)))) (let ((_let_138 (ASSUME :args (_let_21)))) (let ((_let_139 (ASSUME :args (_let_20)))) (let ((_let_140 (AND_INTRO (EQ_RESOLVE (SYMM (ASSUME :args (_let_13))) (MACRO_SR_EQ_INTRO (AND_INTRO _let_139 _let_138) :args ((= tptp.sk1 _let_12) SB_DEFAULT SBA_FIXPOINT))) _let_139 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(tptp.tl U)) (= tptp.nil U))) _let_40 (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_39 _let_38 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (tptp.leq (tptp.skaf50 U) (tptp.skaf49 U)))) (forall ((U $$unsorted)) (or (not 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$$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) _let_34 _let_33 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) _let_32 (forall ((U $$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))) _let_31 (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 $$unsorted) 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(tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$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 $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) _let_26 (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))) _let_25 (forall ((U $$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 $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) _let_24 (forall ((U $$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)))) _let_23 (tptp.ssList tptp.sk2) (tptp.ssList tptp.sk3) _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_6 (or (tptp.ssItem tptp.sk10) _let_5) (or (tptp.memberP tptp.sk8 tptp.sk10) _let_5) (or (not (tptp.leq tptp.sk5 tptp.sk10)) (not (tptp.leq tptp.sk10 tptp.sk6)) _let_5) _let_3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 78.41/79.96 )
% 78.41/79.97 % SZS output end Proof for SWC162-1
% 78.41/79.97 % cvc5---1.0.5 exiting
% 78.41/79.97 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------