TSTP Solution File: SWC075-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC075-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n015.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 20:23:03 EDT 2023
% Result : Unsatisfiable 0.82s 1.07s
% Output : Proof 0.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC075-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.18/0.36 % Computer : n015.cluster.edu
% 0.18/0.36 % Model : x86_64 x86_64
% 0.18/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.36 % Memory : 8042.1875MB
% 0.18/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.18/0.36 % CPULimit : 300
% 0.18/0.36 % WCLimit : 300
% 0.18/0.36 % DateTime : Mon Aug 28 16:09:40 EDT 2023
% 0.18/0.36 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.JWHsx9IqnW/cvc5---1.0.5_30327.p...
% 0.21/0.51 ------- get file name : TPTP file name is SWC075-1
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_30327.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.82/1.07 % SZS status Unsatisfiable for SWC075-1
% 0.82/1.07 % SZS output start Proof for SWC075-1
% 0.82/1.07 (
% 0.82/1.07 (let ((_let_1 (= tptp.nil tptp.sk1))) (let ((_let_2 (= tptp.nil tptp.sk2))) (let ((_let_3 (or (not _let_2) (not _let_1)))) (let ((_let_4 (tptp.app tptp.sk6 tptp.sk5))) (let ((_let_5 (= _let_4 tptp.sk3))) (let ((_let_6 (tptp.app tptp.sk5 tptp.sk6))) (let ((_let_7 (= _let_6 tptp.sk4))) (let ((_let_8 (tptp.ssList tptp.sk6))) (let ((_let_9 (tptp.ssList tptp.sk5))) (let ((_let_10 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))))) (let ((_let_11 (= tptp.sk1 tptp.sk3))) (let ((_let_12 (= tptp.sk2 tptp.sk4))) (let ((_let_13 (tptp.ssList tptp.sk2))) (let ((_let_14 (tptp.ssList tptp.sk1))) (let ((_let_15 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))) (let ((_let_16 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U)) U))))) (let ((_let_17 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_18 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))) (let ((_let_19 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_20 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))))) (let ((_let_21 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))))) (let ((_let_22 (tptp.ssList tptp.nil))) (let ((_let_23 (tptp.neq tptp.sk1 tptp.nil))) (let ((_let_24 (not _let_14))) (let ((_let_25 (not _let_22))) (let ((_let_26 (or _let_25 _let_24 _let_23 _let_1))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (_let_27))) (let ((_let_30 ((not (= (tptp.neq V U) true))))) (let ((_let_31 (tptp.segmentP tptp.sk1 tptp.sk1))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.segmentP tptp.sk2 tptp.sk1))) (let ((_let_34 (not _let_33))) (let ((_let_35 (not _let_23))) (let ((_let_36 (or _let_24 _let_35 _let_34 _let_32))) (let ((_let_37 (_let_10))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 ((not (= (tptp.ssList A) false))))) (let ((_let_40 (or _let_24 _let_31))) (let ((_let_41 (_let_21))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((not (= (tptp.ssList U) false))))) (let ((_let_44 (ASSUME :args (_let_14)))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_24 _let_31 (not _let_40)))) _let_44 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.sk1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_40 false _let_21)) :args (_let_31 false _let_14 false _let_40)))) (let ((_let_46 (= tptp.nil (tptp.app (tptp.app (tptp.skaf47 tptp.nil tptp.nil) tptp.nil) (tptp.skaf48 tptp.nil tptp.nil))))) (let ((_let_47 (= tptp.nil tptp.sk6))) (let ((_let_48 (tptp.app tptp.nil tptp.sk6))) (let ((_let_49 (= tptp.sk6 _let_48))) (let ((_let_50 (= tptp.sk5 (tptp.app tptp.nil tptp.sk5)))) (let ((_let_51 (= tptp.sk2 (tptp.app tptp.nil tptp.sk2)))) (let ((_let_52 (= tptp.sk5 (tptp.app tptp.sk5 tptp.nil)))) (let ((_let_53 (tptp.segmentP tptp.sk2 tptp.sk2))) (let ((_let_54 (= tptp.sk3 _let_4))) (let ((_let_55 (= tptp.sk4 _let_6))) (let ((_let_56 (tptp.segmentP tptp.nil tptp.nil))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_25 _let_25 _let_46))) (let ((_let_59 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (ASSUME :args (_let_22)))) (let ((_let_62 (tptp.neq tptp.sk6 tptp.nil))) (let ((_let_63 (not _let_8))) (let ((_let_64 (or _let_25 _let_63 _let_62 _let_47))) (let ((_let_65 (tptp.segmentP tptp.sk1 tptp.sk6))) (let ((_let_66 (not _let_65))) (let ((_let_67 (tptp.segmentP tptp.sk2 tptp.sk6))) (let ((_let_68 (not _let_67))) (let ((_let_69 (not _let_62))) (let ((_let_70 (or _let_63 _let_69 _let_68 _let_66))) (let ((_let_71 (tptp.app _let_48 tptp.sk5))) (let ((_let_72 (tptp.segmentP _let_71 tptp.sk6))) (let ((_let_73 (tptp.ssList _let_71))) (let ((_let_74 (not _let_73))) (let ((_let_75 (not _let_9))) (let ((_let_76 (or _let_75 _let_25 _let_63 _let_74 _let_72))) (let ((_let_77 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (let ((_let_1 (tptp.app (tptp.app U V) W))) (or (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList _let_1)) (tptp.segmentP _let_1 V)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.app (tptp.app U V) W)))) (let ((_let_81 (or _let_63 _let_49))) (let ((_let_82 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_82))) (let ((_let_85 ((not (= (tptp.ssList U) false))))) (let ((_let_86 (ASSUME :args (_let_8)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_63 _let_49 (not _let_81)))) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_81 false _let_82)) :args (_let_49 false _let_8 false _let_81)))) (let ((_let_88 (SYMM (ASSUME :args (_let_5))))) (let ((_let_89 (ASSUME :args (_let_11)))) (let ((_let_90 (and _let_14 _let_11 _let_54 _let_49))) (let ((_let_91 (_let_14 _let_11 _let_54 _let_49))) (let ((_let_92 (APPLY_UF tptp.ssList))) (let ((_let_93 (SYMM _let_89))) (let ((_let_94 (SYMM _let_88))) (let ((_let_95 (APPLY_UF tptp.app))) (let ((_let_96 (REFL :args (tptp.sk5)))) (let ((_let_97 (ASSUME :args (_let_49)))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (CONG _let_98 _let_96 :args _let_95))) (let ((_let_100 (ASSUME :args (_let_9)))) (let ((_let_101 (not _let_49))) (let ((_let_102 (not _let_54))) (let ((_let_103 (not _let_11))) (let ((_let_104 (and _let_11 _let_54 _let_49 _let_72))) (let ((_let_105 (ASSUME :args (_let_72)))) (let ((_let_106 (APPLY_UF tptp.segmentP))) (let ((_let_107 (REFL :args (tptp.sk6)))) (let ((_let_108 (SYMM _let_94))) (let ((_let_109 (SYMM _let_93))) (let ((_let_110 (tptp.app _let_6 tptp.nil))) (let ((_let_111 (tptp.segmentP _let_110 tptp.sk6))) (let ((_let_112 (= tptp.sk2 (tptp.app tptp.sk2 tptp.nil)))) (let ((_let_113 (tptp.ssList _let_110))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_25 _let_75 _let_63 _let_114 _let_111))) (let ((_let_116 (not _let_13))) (let ((_let_117 (or _let_116 _let_112))) (let ((_let_118 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app U tptp.nil)))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 ((not (= (tptp.ssList U) false))))) (let ((_let_122 (ASSUME :args (_let_13)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_116 _let_112 (not _let_117)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_117 false _let_118)) :args (_let_112 false _let_13 false _let_117)))) (let ((_let_124 (SYMM (ASSUME :args (_let_7))))) (let ((_let_125 (ASSUME :args (_let_12)))) (let ((_let_126 (and _let_13 _let_12 _let_55 _let_112))) (let ((_let_127 (ASSUME :args (_let_112)))) (let ((_let_128 (SYMM (SYMM _let_127)))) (let ((_let_129 (REFL :args (tptp.nil)))) (let ((_let_130 (SYMM (SYMM _let_125)))) (let ((_let_131 (SYMM _let_130))) (let ((_let_132 (SYMM (SYMM _let_124)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (not _let_55))) (let ((_let_135 (not _let_12))) (let ((_let_136 (and _let_12 _let_55 _let_112 _let_111))) (let ((_let_137 (ASSUME :args (_let_111)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_25 _let_63 _let_47 _let_62 (not _let_64)))) _let_61 _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_63 _let_69 _let_68 _let_66 (not _let_70)))) _let_86 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_136)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_137 _let_124 _let_125 _let_127) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_128 (CONG (TRANS _let_130 _let_132) _let_129 :args _let_95)) _let_107 :args _let_106) (TRUE_INTRO _let_137))) :args (_let_111 _let_55 _let_12 _let_112))) :args (_let_12 _let_55 _let_112 _let_111))) :args (true _let_136)) :args ((or _let_135 _let_134 _let_67 (not _let_112) (not _let_111)))) _let_125 _let_124 _let_123 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_25 _let_75 _let_63 _let_114 _let_111 (not _let_115)))) _let_61 _let_100 _let_86 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_126)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_122 _let_127 _let_125 _let_124) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG (TRANS _let_133 _let_131) _let_129 :args _let_95) (SYMM _let_128)) :args _let_92) (TRUE_INTRO _let_122))) :args (_let_13 _let_112 _let_12 _let_55))) :args (_let_13 _let_12 _let_55 _let_112))) :args (true _let_126)) _let_122 _let_125 _let_124 _let_123 :args (_let_113 false _let_13 false _let_12 false _let_55 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.sk5 tptp.sk6 tptp.nil QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_79)) _let_78 :args (_let_115 false _let_77)) :args (_let_111 false _let_22 false _let_9 false _let_8 false _let_113 false _let_115)) :args (_let_67 false _let_12 false _let_55 false _let_112 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_97 _let_88 _let_89) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_109 _let_108 (CONG (SYMM _let_98) _let_96 :args _let_95)) _let_107 :args _let_106) (TRUE_INTRO _let_105))) :args (_let_72 _let_49 _let_54 _let_11))) :args (_let_11 _let_54 _let_49 _let_72))) :args (true _let_104)) :args ((or _let_103 _let_102 _let_65 _let_101 (not _let_72)))) _let_89 _let_88 _let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_25 _let_75 _let_63 _let_74 _let_72 (not _let_76)))) _let_61 _let_100 _let_86 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_44 _let_89 _let_88 _let_97) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_99 _let_94 _let_93) :args _let_92) (TRUE_INTRO _let_44))) :args _let_91)) :args _let_91)) :args (true _let_90)) _let_44 _let_89 _let_88 _let_87 :args (_let_73 false _let_14 false _let_11 false _let_54 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.nil tptp.sk6 tptp.sk5 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_79)) _let_78 :args (_let_76 false _let_77)) :args (_let_72 false _let_22 false _let_9 false _let_8 false _let_73 false _let_76)) :args (_let_65 false _let_11 false _let_54 false _let_49 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_37)) _let_38 :args (_let_70 false _let_10)) :args (_let_69 false _let_8 false _let_67 false _let_65 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (tptp.nil tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_30)) :args _let_29)) _let_28 :args (_let_64 false _let_27)) :args (_let_47 false _let_22 false _let_8 true _let_62 false _let_64)))) (let ((_let_139 (or _let_75 _let_50))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_139)) :args ((or _let_75 _let_50 (not _let_139)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) _let_83 :args (_let_139 false _let_82)) :args (_let_50 false _let_9 false _let_139)))) (let ((_let_141 (or _let_116 _let_51))) (let ((_let_142 (or _let_75 _let_52))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_75 _let_52 (not _let_142)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_142 false _let_118)) :args (_let_52 false _let_9 false _let_142)))) (let ((_let_144 (or _let_116 _let_53))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_144)) :args ((or _let_116 _let_53 (not _let_144)))) _let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_144 false _let_21)) :args (_let_53 false _let_13 false _let_144)))) (let ((_let_146 (not _let_47))) (let ((_let_147 (not _let_50))) (let ((_let_148 (not _let_52))) (let ((_let_149 (not _let_53))) (let ((_let_150 (and _let_12 _let_11 _let_55 _let_54 _let_53 _let_52 _let_51 _let_50 _let_49 _let_47 _let_46))) (let ((_let_151 (ASSUME :args (_let_53)))) (let ((_let_152 (ASSUME :args (_let_47)))) (let ((_let_153 (SYMM 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$$unsorted) (V $$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 $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (tptp.frontsegP W U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil U)) (not (= tptp.nil V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app U V) tptp.nil))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.gt U V)) (not (tptp.gt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.gt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.geq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.app (tptp.app W V) U) (tptp.app W (tptp.app V U))))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app U W))) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (= V W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) (tptp.app W V))) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V W)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.lt U V)) (not (tptp.lt V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V W)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.leq U W))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (= (tptp.cons U (tptp.app V W)) (tptp.app (tptp.cons U V) W)))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.app U V) W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (tptp.memberP V W) (tptp.memberP U W))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U (tptp.hd V))) (not (tptp.totalorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.lt U (tptp.hd V))) (not (tptp.strictorderedP V)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP (tptp.cons U V) W)) (not (tptp.ssList V)) (not (tptp.ssItem U)) (not (tptp.ssItem W)) (tptp.memberP V W) (= W U))) (forall ((U $$unsorted)) (let ((_let_1 (tptp.skaf74 U))) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (= (tptp.app (tptp.app (tptp.skaf75 U) (tptp.cons _let_1 (tptp.skaf76 U))) (tptp.cons _let_1 (tptp.skaf77 U))) U)))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderedP U) (= (tptp.app (tptp.app (tptp.skaf71 U) (tptp.cons (tptp.skaf69 U) (tptp.skaf72 U))) (tptp.cons (tptp.skaf70 U) (tptp.skaf73 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderedP U) (= (tptp.app (tptp.app (tptp.skaf66 U) (tptp.cons (tptp.skaf64 U) (tptp.skaf67 U))) (tptp.cons (tptp.skaf65 U) (tptp.skaf68 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.strictorderP U) (= (tptp.app (tptp.app (tptp.skaf61 U) (tptp.cons (tptp.skaf59 U) (tptp.skaf62 U))) (tptp.cons (tptp.skaf60 U) (tptp.skaf63 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.totalorderP U) (= (tptp.app (tptp.app (tptp.skaf56 U) (tptp.cons (tptp.skaf54 U) (tptp.skaf57 U))) (tptp.cons (tptp.skaf55 U) (tptp.skaf58 U))) U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))) _let_16 (forall ((U $$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 $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) _let_15 (forall ((U $$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)))) _let_14 _let_13 (tptp.ssList tptp.sk3) (tptp.ssList tptp.sk4) _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_5 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.82/1.07 )
% 0.82/1.08 % SZS output end Proof for SWC075-1
% 0.82/1.08 % cvc5---1.0.5 exiting
% 0.82/1.08 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------