TSTP Solution File: SWC152-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC152-1 : 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 20:23:38 EDT 2023
% Result : Unsatisfiable 77.74s 77.93s
% Output : Proof 77.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWC152-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n003.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 16:14:25 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.21/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iZD3ZtlxmU/cvc5---1.0.5_23292.p...
% 0.21/0.54 ------- get file name : TPTP file name is SWC152-1
% 0.21/0.55 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23292.smt2...
% 0.21/0.55 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.55/10.76 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.54/15.78 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.59/20.81 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.67/25.86 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 30.75/30.98 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 35.79/36.02 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 40.88/41.10 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 46.18/46.42 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 51.25/51.48 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 56.32/56.52 --- Run --relevant-triggers --full-saturate-quant at 5...
% 61.33/61.58 --- Run --finite-model-find --e-matching --sort-inference --uf-ss-fair at 5...
% 66.51/66.68 --- Run --pre-skolem-quant=on --full-saturate-quant at 10...
% 76.53/76.75 --- Run --cbqi-vo-exp --full-saturate-quant at 10...
% 77.74/77.93 % SZS status Unsatisfiable for SWC152-1
% 77.74/77.93 % SZS output start Proof for SWC152-1
% 77.76/77.95 (
% 77.76/77.95 (let ((_let_1 (= tptp.nil tptp.sk3))) (let ((_let_2 (tptp.memberP tptp.sk4 tptp.sk11))) (let ((_let_3 (tptp.cons tptp.sk11 tptp.nil))) (let ((_let_4 (= _let_3 tptp.sk3))) (let ((_let_5 (or _let_4 _let_1))) (let ((_let_6 (= tptp.nil tptp.sk4))) (let ((_let_7 (tptp.ssItem tptp.sk11))) (let ((_let_8 (or _let_7 _let_1))) (let ((_let_9 (not (tptp.leq tptp.sk5 tptp.sk6)))) (let ((_let_10 (tptp.cons tptp.sk6 tptp.nil))) (let ((_let_11 (tptp.cons tptp.sk5 tptp.nil))) (let ((_let_12 (tptp.app tptp.sk7 _let_11))) (let ((_let_13 (tptp.app _let_12 tptp.sk8))) (let ((_let_14 (tptp.app _let_13 _let_10))) (let ((_let_15 (tptp.app _let_14 tptp.sk9))) (let ((_let_16 (= _let_15 tptp.sk1))) (let ((_let_17 (tptp.ssList tptp.sk9))) (let ((_let_18 (tptp.ssList tptp.sk8))) (let ((_let_19 (tptp.ssList tptp.sk7))) (let ((_let_20 (tptp.ssItem tptp.sk6))) (let ((_let_21 (tptp.ssItem tptp.sk5))) (let ((_let_22 (= tptp.sk1 tptp.sk3))) (let ((_let_23 (= tptp.sk2 tptp.sk4))) (let ((_let_24 (tptp.ssList tptp.sk1))) (let ((_let_25 (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))))) (let ((_let_26 (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_27 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))))) (let ((_let_28 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))))) (let ((_let_29 (forall ((U $$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))))) (let ((_let_30 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))))) (let ((_let_31 (forall ((U $$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_32 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))))) (let ((_let_33 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))) (let ((_let_34 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))) (let ((_let_35 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))) (let ((_let_36 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) (let ((_let_37 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) (let ((_let_38 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_39 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))) (let ((_let_40 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_41 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))) (let ((_let_42 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_43 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) (let ((_let_44 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))) (let ((_let_45 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_46 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))) (let ((_let_47 (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))))) (let ((_let_48 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))))) (let ((_let_49 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))))) (let ((_let_50 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))))) (let ((_let_51 (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))))) (let ((_let_52 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))) (let ((_let_53 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))) (let ((_let_54 (tptp.ssList tptp.nil))) (let ((_let_55 (tptp.ssList _let_12))) (let ((_let_56 (tptp.skaf82 tptp.sk8))) (let ((_let_57 (tptp.skaf83 tptp.sk8))) (let ((_let_58 (tptp.cons _let_57 _let_56))) (let ((_let_59 (tptp.app (tptp.app _let_12 _let_58) _let_10))) (let ((_let_60 (tptp.ssList _let_59))) (let ((_let_61 (tptp.lt tptp.sk6 _let_57))) (let ((_let_62 (tptp.lt _let_57 tptp.sk6))) (let ((_let_63 (not _let_60))) (let ((_let_64 (tptp.strictorderP _let_59))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.ssItem _let_57))) (let ((_let_67 (not _let_66))) (let ((_let_68 (not _let_20))) (let ((_let_69 (not _let_55))) (let ((_let_70 (tptp.ssList _let_56))) (let ((_let_71 (not _let_70))) (let ((_let_72 (not _let_54))) (let ((_let_73 (or _let_72 _let_71 _let_69 _let_68 _let_67 _let_65 _let_63 _let_62 _let_61))) (let ((_let_74 (ASSUME :args (_let_54)))) (let ((_let_75 (ASSUME :args (_let_20)))) (let ((_let_76 (not _let_19))) (let ((_let_77 (tptp.ssList _let_11))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76 _let_55))) (let ((_let_80 (_let_43))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 ((tptp.app V U)))) (let ((_let_83 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_11 tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)))) (let ((_let_84 (not _let_21))) (let ((_let_85 (or _let_84 _let_72 _let_77))) (let ((_let_86 (_let_42))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 ((tptp.cons U V)))) (let ((_let_89 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_86)))) (let ((_let_90 (ASSUME :args (_let_21)))) (let ((_let_91 (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_72 _let_84 _let_77 (not _let_85)))))) (let ((_let_92 (MACRO_RESOLUTION_TRUST _let_91 _let_74 _let_90 (MACRO_RESOLUTION_TRUST _let_89 _let_87 :args (_let_85 false _let_42)) :args (_let_77 false _let_54 false _let_21 false _let_85)))) (let ((_let_93 (ASSUME :args (_let_19)))) (let ((_let_94 (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_76 _let_78 _let_55 (not _let_79)))))) (let ((_let_95 (MACRO_RESOLUTION_TRUST _let_94 _let_93 _let_92 (MACRO_RESOLUTION_TRUST _let_83 _let_81 :args (_let_79 false _let_43)) :args (_let_55 false _let_19 false _let_77 false _let_79)))) (let ((_let_96 (= tptp.sk8 _let_13))) (let ((_let_97 (= _let_13 (tptp.cons (tptp.skaf83 _let_13) (tptp.skaf82 _let_13))))) (let ((_let_98 (= _let_14 (tptp.app _let_14 tptp.nil)))) (let ((_let_99 (= _let_13 (tptp.app tptp.sk7 (tptp.app _let_11 tptp.sk8))))) (let ((_let_100 (= tptp.nil tptp.sk9))) (let ((_let_101 (tptp.ssList _let_15))) (let ((_let_102 (not _let_18))) (let ((_let_103 (tptp.ssList _let_10))) (let ((_let_104 (not _let_103))) (let ((_let_105 (tptp.ssList _let_13))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.app tptp.sk8 _let_10))) (let ((_let_108 (= _let_14 _let_107))) (let ((_let_109 (not _let_108))) (let ((_let_110 (or _let_109 _let_106 _let_104 _let_102 _let_96))) (let ((_let_111 (_let_30))) (let ((_let_112 (ASSUME :args _let_111))) (let ((_let_113 (tptp.app _let_12 _let_107))) (let ((_let_114 (= _let_107 _let_113))) (let ((_let_115 (= _let_14 _let_113))) (let ((_let_116 (tptp.ssList _let_107))) (let ((_let_117 (not _let_116))) (let ((_let_118 (tptp.ssList _let_113))) (let ((_let_119 (not _let_118))) (let ((_let_120 (tptp.rearsegP _let_107 _let_113))) (let ((_let_121 (not _let_120))) (let ((_let_122 (tptp.rearsegP _let_113 _let_107))) (let ((_let_123 (not _let_122))) (let ((_let_124 (or _let_123 _let_121 _let_119 _let_117 _let_114))) (let ((_let_125 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) (let ((_let_126 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_127 (tptp.rearsegP _let_107 _let_10))) (let ((_let_128 (= tptp.sk6 tptp.sk11))) (let ((_let_129 (= _let_15 _let_3))) (let ((_let_130 (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (let ((_let_131 (or _let_102 _let_104 _let_117 _let_127))) (let ((_let_132 (forall ((U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.app U V))) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList _let_1)) (tptp.rearsegP _let_1 V)))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_132))) (let ((_let_135 ((tptp.app U V)))) (let ((_let_136 (or _let_104 _let_102 _let_116))) (let ((_let_137 (or _let_68 _let_72 _let_103))) (let ((_let_138 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.sk6 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_88)) :args _let_86)))) (let ((_let_139 (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_72 _let_68 _let_103 (not _let_137)))))) (let ((_let_140 (MACRO_RESOLUTION_TRUST _let_139 _let_74 _let_75 (MACRO_RESOLUTION_TRUST _let_138 _let_87 :args (_let_137 false _let_42)) :args (_let_103 false _let_54 false _let_20 false _let_137)))) (let ((_let_141 (ASSUME :args (_let_18)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_102 _let_104 _let_116 (not _let_136)))) _let_141 _let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_10 tptp.sk8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)) _let_81 :args (_let_136 false _let_43)) :args (_let_116 false _let_18 false _let_103 false _let_136)))) (let ((_let_143 (tptp.ssList _let_14))) (let ((_let_144 (not _let_143))) (let ((_let_145 (or _let_144 _let_98))) (let ((_let_146 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_46)) (MACRO_SR_EQ_INTRO :args (_let_46 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_148 (or _let_104 _let_106 _let_143))) (let ((_let_149 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (_let_10 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)))) (let ((_let_150 (or _let_102 _let_69 _let_105))) (let ((_let_151 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.sk8 _let_12 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_82)) :args _let_80)))) (let ((_let_152 (REORDERING (CNF_OR_POS :args (_let_150)) :args ((or _let_102 _let_69 _let_105 (not _let_150)))))) (let ((_let_153 (MACRO_RESOLUTION_TRUST _let_152 _let_141 _let_95 (MACRO_RESOLUTION_TRUST _let_151 _let_81 :args (_let_150 false _let_43)) :args (_let_105 false _let_18 false _let_55 false _let_150)))) (let ((_let_154 (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_104 _let_106 _let_143 (not _let_148)))))) (let ((_let_155 (MACRO_RESOLUTION_TRUST _let_154 _let_140 _let_153 (MACRO_RESOLUTION_TRUST _let_149 _let_81 :args (_let_148 false _let_43)) :args (_let_143 false _let_103 false _let_105 false _let_148)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_145)) :args ((or _let_144 _let_98 (not _let_145)))) _let_155 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_146))) _let_147 :args (_let_145 false 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_let_234 :args (_let_70 false _let_52)))) (let ((_let_492 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_239 :args (tptp.sk8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_240)) :args _let_238)) _let_239 :args (_let_66 false _let_53)))) (let ((_let_493 (= _let_57 (tptp.hd _let_58)))) (let ((_let_494 (tptp.lt tptp.sk6 tptp.sk6))) (let ((_let_495 (not _let_61))) (let ((_let_496 (or _let_67 _let_71 _let_493))) (let ((_let_497 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_496)) :args ((or _let_67 _let_71 _let_493 (not _let_496)))) _let_492 _let_491 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_230 :args (_let_57 _let_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_232)) :args _let_231)) _let_230 :args (_let_496 false _let_229)) :args (_let_493 false _let_66 false _let_70 false _let_496)))) (let ((_let_498 (not _let_494))) (let ((_let_499 (or _let_498 _let_68))) (let ((_let_500 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_499)) :args ((or 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false _let_291 false _let_293 false _let_294 false _let_128 false _let_493 false _let_97 false _let_96)) _let_492 _let_491 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_488)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_489 _let_326 _let_442 _let_444 _let_475 _let_476 _let_479) (SCOPE (TRUE_ELIM (TRANS (CONG _let_481 :args _let_490) (CONG _let_328 :args _let_490) (TRUE_INTRO _let_489))) :args (_let_484 _let_129 _let_98 _let_100 _let_99 _let_96 _let_97))) :args (_let_129 _let_484 _let_100 _let_99 _let_98 _let_97 _let_96))) :args (true _let_488)) :args ((or _let_369 (not _let_484) _let_454 _let_472 _let_64 _let_452 _let_471 _let_470))) _let_352 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_485)) :args ((or _let_158 _let_484 (not _let_485)))) _let_358 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_487 :args (tptp.sk11 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssItem U) false))))) :args _let_486)) _let_487 :args (_let_485 false _let_48)) :args (_let_484 false _let_7 false _let_485)) _let_437 _let_469 _let_156 _let_467 _let_465 :args (_let_64 false _let_129 false _let_484 false _let_100 false _let_99 false _let_98 false _let_97 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_483 :args (_let_12 _let_57 _let_56 tptp.sk6 tptp.nil QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y))))) :args (_let_482))) _let_483 :args (_let_73 false _let_482)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_473)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_262 _let_442 _let_444 _let_475 _let_476 _let_479) (SCOPE (TRUE_ELIM (TRANS (CONG _let_481 :args _let_266) _let_265)) :args (_let_101 _let_98 _let_100 _let_99 _let_96 _let_97))) :args (_let_101 _let_100 _let_99 _let_98 _let_97 _let_96))) :args (true _let_473)) :args ((or (not _let_101) _let_454 _let_472 _let_60 _let_452 _let_471 _let_470))) _let_262 _let_437 _let_469 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(tptp.skaf75 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf73 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf72 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf71 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf70 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf69 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf68 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf67 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf66 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf65 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf64 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf63 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf62 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf61 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf60 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf59 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf58 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf57 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf56 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf55 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf54 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf53 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf52 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf51 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf50 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf49 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (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_51 _let_50 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) _let_49 (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) _let_48 (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)))) _let_47 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))) _let_46 _let_45 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))) _let_44 (forall ((U $$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 $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) _let_43 _let_42 (forall ((U $$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_41 _let_40 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted)) (or (not (tptp.singletonP U)) (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf44 U) tptp.nil) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.gt V U))) (forall ((U $$unsorted) (V $$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_39 (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)))) _let_38 _let_37 _let_36 (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.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) _let_35 (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))) _let_34 (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))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))) _let_33 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) _let_32 (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 $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) _let_31 (forall ((U $$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))) _let_30 (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 $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))) _let_29 (forall ((U $$unsorted)) (let ((_let_1 (tptp.skaf74 U))) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons _let_1 (tptp.skaf76 U))) (tptp.cons _let_1 (tptp.skaf77 U))) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))) _let_28 (forall ((U $$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)))) _let_27 _let_26 (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_25 (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_24 (tptp.ssList tptp.sk2) (tptp.ssList tptp.sk3) (tptp.ssList tptp.sk4) _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 (tptp.leq tptp.sk6 tptp.sk5) (or (tptp.ssItem tptp.sk10) _let_9) (or (tptp.memberP tptp.sk8 tptp.sk10) _let_9) (or (not (tptp.leq tptp.sk5 tptp.sk10)) (not (tptp.leq tptp.sk10 tptp.sk6)) _let_9) (or _let_7 _let_6) _let_8 (or _let_4 _let_6) (or _let_2 _let_6) (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk11 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq tptp.sk11 A)) (= tptp.nil tptp.sk4))) _let_5 (or _let_2 _let_1) (forall ((A $$unsorted)) (or (not (tptp.ssItem A)) (= tptp.sk11 A) (not (tptp.memberP tptp.sk4 A)) (not (tptp.leq tptp.sk11 A)) (= tptp.nil tptp.sk3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 77.76/77.95 )
% 77.76/77.96 % SZS output end Proof for SWC152-1
% 77.76/77.96 % cvc5---1.0.5 exiting
% 77.76/77.96 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------