TSTP Solution File: SWC343-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC343-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n007.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 20:24:54 EDT 2023
% Result : Unsatisfiable 25.76s 26.00s
% Output : Proof 25.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWC343-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 17:47:13 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.pKqHLcQqKU/cvc5---1.0.5_21404.p...
% 0.22/0.53 ------- get file name : TPTP file name is SWC343-1
% 0.22/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21404.smt2...
% 0.22/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.56/10.73 --- Run --no-e-matching --full-saturate-quant at 5...
% 15.56/15.76 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 20.53/20.78 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.62/25.81 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.76/26.00 % SZS status Unsatisfiable for SWC343-1
% 25.76/26.00 % SZS output start Proof for SWC343-1
% 25.76/26.00 (
% 25.76/26.00 (let ((_let_1 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.lt (tptp.sk8 A) (tptp.sk6 A)) (not (tptp.strictorderedP tptp.sk1)) (not (= tptp.nil tptp.sk2)))))) (let ((_let_2 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (= (tptp.app (tptp.sk9 A) (tptp.cons (tptp.sk8 A) tptp.nil)) tptp.sk1) (not (tptp.strictorderedP tptp.sk1)) (not (= tptp.nil tptp.sk2)))))) (let ((_let_3 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.ssList (tptp.sk9 A)) (not (tptp.strictorderedP tptp.sk1)) (not (= tptp.nil tptp.sk2)))))) (let ((_let_4 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.ssItem (tptp.sk8 A)) (not (tptp.strictorderedP tptp.sk1)) (not (= tptp.nil tptp.sk2)))))) (let ((_let_5 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (= (tptp.app (tptp.cons (tptp.sk6 A) tptp.nil) (tptp.sk7 A)) A) (not (tptp.strictorderedP tptp.sk1)) (not (= tptp.nil tptp.sk2)))))) (let ((_let_6 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.ssList (tptp.sk7 A)) (not (tptp.strictorderedP tptp.sk1)) (not (= tptp.nil tptp.sk2)))))) (let ((_let_7 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.lt (tptp.sk8 A) (tptp.sk6 A)) (not (tptp.strictorderedP tptp.sk1)) (= tptp.nil tptp.sk1))))) (let ((_let_8 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (= (tptp.app (tptp.sk9 A) (tptp.cons (tptp.sk8 A) tptp.nil)) tptp.sk1) (not (tptp.strictorderedP tptp.sk1)) (= tptp.nil tptp.sk1))))) (let ((_let_9 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.ssList (tptp.sk9 A)) (not (tptp.strictorderedP tptp.sk1)) (= tptp.nil tptp.sk1))))) (let ((_let_10 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.ssItem (tptp.sk8 A)) (not (tptp.strictorderedP tptp.sk1)) (= tptp.nil tptp.sk1))))) (let ((_let_11 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (= (tptp.app (tptp.cons (tptp.sk6 A) tptp.nil) (tptp.sk7 A)) A) (not (tptp.strictorderedP tptp.sk1)) (= tptp.nil tptp.sk1))))) (let ((_let_12 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.ssList (tptp.sk7 A)) (not (tptp.strictorderedP tptp.sk1)) (= tptp.nil tptp.sk1))))) (let ((_let_13 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.ssItem (tptp.sk6 A)) (not (tptp.strictorderedP tptp.sk1)) (not (= tptp.nil tptp.sk2)))))) (let ((_let_14 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk1 A) tptp.sk2)) (tptp.ssItem (tptp.sk6 A)) (not (tptp.strictorderedP tptp.sk1)) (= tptp.nil tptp.sk1))))) (let ((_let_15 (= tptp.nil tptp.sk3))) (let ((_let_16 (not _let_15))) (let ((_let_17 (or (= tptp.nil tptp.sk4) _let_16))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (not (= (tptp.app (tptp.cons A tptp.nil) B) tptp.sk5)) (not (tptp.ssItem C)) (not (tptp.ssList D)) (not (= (tptp.app D (tptp.cons C tptp.nil)) tptp.sk3)) (not (tptp.lt C A)))))) (let ((_let_19 (tptp.strictorderedP tptp.sk3))) (let ((_let_20 (tptp.app tptp.sk3 tptp.sk5))) (let ((_let_21 (= _let_20 tptp.sk4))) (let ((_let_22 (tptp.ssList tptp.sk5))) (let ((_let_23 (= tptp.sk1 tptp.sk3))) (let ((_let_24 (= tptp.sk2 tptp.sk4))) (let ((_let_25 (tptp.ssList tptp.sk3))) (let ((_let_26 (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_27 (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_28 (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_29 (tptp.ssList tptp.nil))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (or (not (tptp.ssItem A)) (not (tptp.ssList B)) (not (= tptp.sk5 (tptp.app (tptp.cons A tptp.nil) B))) (not (tptp.ssItem C)) (not (tptp.ssList D)) (not (= tptp.sk3 (tptp.app D (tptp.cons C tptp.nil)))) (not (tptp.lt C A)))))) (let ((_let_31 (tptp.sk6 tptp.sk5))) (let ((_let_32 (tptp.sk8 tptp.sk5))) (let ((_let_33 (tptp.lt _let_32 _let_31))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.sk9 tptp.sk5))) (let ((_let_36 (= tptp.sk3 (tptp.app _let_35 (tptp.cons _let_32 tptp.nil))))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.ssList _let_35))) (let ((_let_39 (not _let_38))) (let ((_let_40 (tptp.ssItem _let_32))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.sk7 tptp.sk5))) (let ((_let_43 (= tptp.sk5 (tptp.app (tptp.cons _let_31 tptp.nil) _let_42)))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.ssList _let_42))) (let ((_let_46 (not _let_45))) (let ((_let_47 (tptp.ssItem _let_31))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_44 _let_41 _let_39 _let_37 _let_34))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (not _let_49))) (let ((_let_52 (not _let_22))) (let ((_let_53 (or _let_52 _let_33))) (let ((_let_54 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk3 tptp.sk5) (tptp.app tptp.sk3 A))) (tptp.lt (tptp.sk8 A) (tptp.sk6 A)))))) (let ((_let_55 (ASSUME :args (_let_19)))) (let ((_let_56 (= tptp.nil _let_20))) (let ((_let_57 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk3 tptp.sk5) (tptp.app tptp.sk3 A))) (tptp.ssItem (tptp.sk6 A)))))) (let ((_let_58 (not _let_25))) (let ((_let_59 (not _let_56))) (let ((_let_60 (or _let_59 _let_52 _let_58 _let_15))) (let ((_let_61 (= tptp.nil tptp.sk5))) (let ((_let_62 (or _let_59 _let_52 _let_58 _let_61))) (let ((_let_63 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk3 tptp.sk5) (tptp.app tptp.sk3 A))) (tptp.ssItem (tptp.sk6 A)))))) (let ((_let_64 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk3 tptp.sk5) (tptp.app tptp.sk3 A))) (tptp.ssList (tptp.sk7 A)))))) (let ((_let_65 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk3 tptp.sk5) (tptp.app tptp.sk3 A))) (= A (tptp.app (tptp.cons (tptp.sk6 A) tptp.nil) (tptp.sk7 A))))))) (let ((_let_66 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk3 tptp.sk5) (tptp.app tptp.sk3 A))) (tptp.ssItem (tptp.sk8 A)))))) (let ((_let_67 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk3 tptp.sk5) (tptp.app tptp.sk3 A))) (tptp.ssList (tptp.sk9 A)))))) (let ((_let_68 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= (tptp.app tptp.sk3 tptp.sk5) (tptp.app tptp.sk3 A))) (= tptp.sk3 (tptp.app (tptp.sk9 A) (tptp.cons (tptp.sk8 A) tptp.nil))))))) (let ((_let_69 (tptp.sk6 tptp.nil))) (let ((_let_70 (tptp.ssItem _let_69))) (let ((_let_71 (= _let_20 (tptp.app tptp.sk3 tptp.nil)))) (let ((_let_72 (not _let_71))) (let ((_let_73 (not _let_29))) (let ((_let_74 (or _let_73 _let_72 _let_70))) (let ((_let_75 (tptp.sk7 tptp.nil))) (let ((_let_76 (tptp.ssList _let_75))) (let ((_let_77 (or _let_73 _let_72 _let_76))) (let ((_let_78 (tptp.app (tptp.cons _let_69 tptp.nil) _let_75))) (let ((_let_79 (= tptp.nil _let_78))) (let ((_let_80 (or _let_73 _let_72 _let_79))) (let ((_let_81 (tptp.sk8 tptp.nil))) (let ((_let_82 (tptp.ssItem _let_81))) (let ((_let_83 (or _let_73 _let_72 _let_82))) (let ((_let_84 (tptp.sk9 tptp.nil))) (let ((_let_85 (tptp.ssList _let_84))) (let ((_let_86 (or _let_73 _let_72 _let_85))) (let ((_let_87 (= tptp.sk3 (tptp.app _let_84 (tptp.cons _let_81 tptp.nil))))) (let ((_let_88 (or _let_73 _let_72 _let_87))) (let ((_let_89 (tptp.lt _let_81 _let_69))) (let ((_let_90 (or _let_73 _let_72 _let_89))) (let ((_let_91 (= tptp.nil (tptp.app tptp.nil tptp.nil)))) (let ((_let_92 (not _let_89))) (let ((_let_93 (not _let_87))) (let ((_let_94 (not _let_85))) (let ((_let_95 (not _let_82))) (let ((_let_96 (= tptp.sk5 _let_78))) (let ((_let_97 (not _let_96))) (let ((_let_98 (not _let_76))) (let ((_let_99 (not _let_70))) (let ((_let_100 (or _let_99 _let_98 _let_97 _let_95 _let_94 _let_93 _let_92))) (let ((_let_101 (not _let_19))) (let ((_let_102 (not (= tptp.nil tptp.sk2)))) (let ((_let_103 (not (tptp.strictorderedP tptp.sk1)))) (let ((_let_104 (AND_INTRO (SYMM (ASSUME :args (_let_21))) (ASSUME :args (_let_23)) (ASSUME :args (_let_24))))) (let ((_let_105 (ASSUME :args (_let_25)))) (let ((_let_106 (ASSUME :args (_let_22)))) (let ((_let_107 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (tptp.sk3 tptp.sk5 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_110 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_63))) (let ((_let_113 ((not (= (tptp.ssList A) false))))) (let ((_let_114 (ASSUME :args _let_112))) (let ((_let_115 (_let_64))) (let ((_let_116 ((tptp.app tptp.sk3 A)))) (let ((_let_117 (ASSUME :args _let_115))) (let ((_let_118 (_let_65))) (let ((_let_119 ((not (= (tptp.ssList A) false))))) (let ((_let_120 (ASSUME :args _let_118))) (let ((_let_121 (_let_66))) (let ((_let_122 ((not (= (tptp.ssList A) false))))) (let ((_let_123 (ASSUME :args _let_121))) (let ((_let_124 (_let_67))) (let ((_let_125 ((tptp.app tptp.sk3 A)))) (let ((_let_126 (ASSUME :args _let_124))) (let ((_let_127 (_let_68))) (let ((_let_128 ((not (= (tptp.ssList A) false))))) (let ((_let_129 (ASSUME :args _let_127))) (let ((_let_130 (_let_54))) (let ((_let_131 ((not (= (tptp.ssList A) false))))) (let ((_let_132 (ASSUME :args _let_130))) (let ((_let_133 (ASSUME :args (_let_29)))) (let ((_let_134 (and _let_15 _let_91 _let_56))) (let ((_let_135 (_let_15 _let_91 _let_56))) (let ((_let_136 (ASSUME :args (_let_15)))) (let ((_let_137 (ASSUME :args (_let_91)))) (let ((_let_138 (ASSUME :args (_let_56)))) (let ((_let_139 (_let_30))) (let ((_let_140 (and _let_61 _let_79))) (let ((_let_141 (ASSUME :args (_let_79)))) (let ((_let_142 (ASSUME :args (_let_61)))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO _let_104 :args (_let_17 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_16 _let_56))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_140)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_141 _let_142) (SCOPE (TRANS (SYMM _let_142) (SYMM (SYMM _let_141))) :args (_let_79 _let_61))) :args (_let_61 _let_79))) :args (true _let_140)) (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_99 _let_98 _let_95 _let_94 _let_93 _let_92 _let_97 (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_69 _let_75 _let_81 _let_84 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_139)) _let_50 :args (_let_100 false _let_30)) (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_73 _let_72 _let_89 (not _let_90)))) _let_133 (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_73 _let_72 _let_87 (not _let_88)))) _let_133 (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_73 _let_72 _let_85 (not _let_86)))) _let_133 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_73 _let_72 _let_82 (not _let_83)))) _let_133 (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_73 _let_72 _let_79 (not _let_80)))) _let_133 (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_73 _let_72 _let_76 (not _let_77)))) _let_133 (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_73 _let_72 _let_70 (not _let_74)))) _let_133 (RESOLUTION (CNF_AND_NEG :args (_let_134)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_136 _let_137 _let_138) (SCOPE (TRANS (SYMM _let_138) (SYMM (SYMM _let_137)) (CONG (SYMM (SYMM _let_136)) (REFL :args (tptp.nil)) :args (APPLY_UF tptp.app))) :args _let_135)) :args _let_135)) :args (true _let_134)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_26)) (MACRO_SR_EQ_INTRO :args (_let_26 SB_DEFAULT SBA_FIXPOINT))) _let_133 :args (_let_91 false _let_29)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_131)) :args _let_130)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_128)) :args _let_127)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_125)) :args _let_124)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_119)) :args _let_118)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_113)) :args _let_112)) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_54 (= A A)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_68 (= A A)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_67 (= A A)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_66 (= A A)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_65 (= A A)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_64 (= A A)))) (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_63 (= A A)))) (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_59 _let_58 _let_52 _let_61 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args _let_109) :args (_let_110))) _let_111 :args (_let_62 false _let_110)) _let_106 _let_105 (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_15 _let_59 _let_58 _let_52 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_109) :args (_let_107))) _let_108 :args (_let_60 false _let_107)) _let_106 _let_105 (EQ_RESOLVE (ASSUME :args (_let_1)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_104 :args ((or _let_103 _let_102 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (= tptp.sk2 (tptp.app tptp.sk1 A))) (tptp.lt (tptp.sk8 A) (tptp.sk6 A))))) SB_DEFAULT SBA_FIXPOINT)))) _let_55 (EQ_RESOLVE (ASSUME :args (_let_2)) (TRANS (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT)) (MACRO_SR_EQ_INTRO _let_104 :args ((or 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(forall ((U $$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 $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))) (forall ((U $$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))) (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 $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.neq V U) (= V U))) (forall ((U $$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))) (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 $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) _let_28 _let_27 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))) (forall ((U $$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 $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (forall ((U $$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 $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) (forall ((U $$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_26 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted)) (let ((_let_1 (tptp.skaf74 U))) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons _let_1 (tptp.skaf76 U))) (tptp.cons _let_1 (tptp.skaf77 U))) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssItem V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf42 U V) (tptp.cons V (tptp.skaf43 V U))) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (not (tptp.ssList X)) (not (tptp.ssList V)) (= X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (tptp.frontsegP V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app U (tptp.cons V W)) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.ssList X)) (tptp.memberP X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP (tptp.cons U V) (tptp.cons W X))) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssItem W)) (not (tptp.ssItem U)) (= U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.tl U) (tptp.tl V))) (not (= (tptp.hd U) (tptp.hd V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= U V) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app U (tptp.cons V (tptp.cons W X))) Y)) (not (tptp.ssList X)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.equalelemsP Y)) (not (tptp.ssList Y)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderedP Z)) (not (tptp.ssList Z)) (tptp.lt V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderedP Z)) (not (tptp.ssList Z)) (tptp.leq V X))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.strictorderP Z)) (not (tptp.ssList Z)) (tptp.lt V X) (tptp.lt X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons X Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem V)) (not (tptp.totalorderP Z)) (not (tptp.ssList Z)) (tptp.leq V X) (tptp.leq X V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) (tptp.ssList tptp.sk1) (tptp.ssList tptp.sk2) _let_25 (tptp.ssList tptp.sk4) _let_24 _let_23 _let_22 _let_21 _let_19 _let_18 _let_17 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.76/26.01 )
% 25.76/26.01 % SZS output end Proof for SWC343-1
% 25.76/26.01 % cvc5---1.0.5 exiting
% 25.76/26.01 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------