TSTP Solution File: SWC053-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC053-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 20:22:53 EDT 2023
% Result : Unsatisfiable 0.77s 1.02s
% Output : Proof 0.77s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.14 % Problem : SWC053-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Mon Aug 28 17:05:40 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.20/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.bSWNtxy0XM/cvc5---1.0.5_23037.p...
% 0.20/0.54 ------- get file name : TPTP file name is SWC053-1
% 0.20/0.54 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23037.smt2...
% 0.20/0.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.77/1.02 % SZS status Unsatisfiable for SWC053-1
% 0.77/1.02 % SZS output start Proof for SWC053-1
% 0.77/1.03 (
% 0.77/1.03 (let ((_let_1 (tptp.neq tptp.sk2 tptp.nil))) (let ((_let_2 (= tptp.nil tptp.sk1))) (let ((_let_3 (not _let_2))) (let ((_let_4 (or _let_3 _let_1))) (let ((_let_5 (forall ((A $$unsorted)) (or (= tptp.nil tptp.sk2) (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))))) (let ((_let_6 (= tptp.nil tptp.sk2))) (let ((_let_7 (or _let_6 _let_1))) (let ((_let_8 (= tptp.nil tptp.sk3))) (let ((_let_9 (tptp.frontsegP tptp.sk3 tptp.sk5))) (let ((_let_10 (tptp.frontsegP tptp.sk4 tptp.sk5))) (let ((_let_11 (or _let_10 _let_8))) (let ((_let_12 (tptp.neq tptp.sk5 tptp.nil))) (let ((_let_13 (or _let_12 _let_8))) (let ((_let_14 (= tptp.nil tptp.sk4))) (let ((_let_15 (or _let_9 _let_14))) (let ((_let_16 (or _let_10 _let_14))) (let ((_let_17 (or _let_12 _let_14))) (let ((_let_18 (tptp.ssList tptp.sk5))) (let ((_let_19 (or _let_18 _let_8))) (let ((_let_20 (or _let_18 _let_14))) (let ((_let_21 (= tptp.sk1 tptp.sk3))) (let ((_let_22 (= tptp.sk2 tptp.sk4))) (let ((_let_23 (tptp.ssList tptp.sk4))) (let ((_let_24 (tptp.ssList tptp.sk3))) (let ((_let_25 (tptp.ssList tptp.sk2))) (let ((_let_26 (tptp.ssList tptp.sk1))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (= (tptp.app (tptp.app U V) W) X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList X)) (tptp.segmentP X V))))) (let ((_let_28 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))))) (let ((_let_29 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))))) (let ((_let_30 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssList V)) (not (tptp.ssList U)))))) (let ((_let_31 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_32 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))))) (let ((_let_33 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))))) (let ((_let_34 (tptp.ssList tptp.nil))) (let ((_let_35 (tptp.neq tptp.sk2 tptp.sk2))) (let ((_let_36 (tptp.frontsegP tptp.sk5 tptp.nil))) (let ((_let_37 (tptp.frontsegP tptp.sk5 tptp.sk4))) (let ((_let_38 (= tptp.sk4 tptp.sk5))) (let ((_let_39 (not _let_18))) (let ((_let_40 (not _let_23))) (let ((_let_41 (not _let_37))) (let ((_let_42 (not _let_10))) (let ((_let_43 (or _let_42 _let_41 _let_40 _let_39 _let_38))) (let ((_let_44 (tptp.neq tptp.sk5 tptp.sk5))) (let ((_let_45 (REORDERING (ASSUME :args (_let_4)) :args ((or _let_1 _let_3))))) (let ((_let_46 (ASSUME :args (_let_21)))) (let ((_let_47 (not _let_8))) (let ((_let_48 (not _let_21))) (let ((_let_49 (and _let_21 _let_8))) (let ((_let_50 (_let_21 _let_8))) (let ((_let_51 (SYMM _let_46))) (let ((_let_52 (ASSUME :args (_let_8)))) (let ((_let_53 (SYMM (SYMM _let_52)))) (let ((_let_54 (TRANS _let_53 _let_51))) (let ((_let_55 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_49)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_46 _let_52) (SCOPE _let_54 :args _let_50)) :args _let_50)) :args (true _let_49)) :args ((or _let_2 _let_48 _let_47))))) (let ((_let_56 (ASSUME :args (_let_22)))) (let ((_let_57 (or _let_39 _let_36))) (let ((_let_58 (_let_32))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (tptp.neq tptp.sk1 tptp.sk1))) (let ((_let_61 (not _let_26))) (let ((_let_62 (not _let_60))) (let ((_let_63 (or _let_62 _let_61))) (let ((_let_64 (forall ((V $$unsorted)) (or (not (tptp.neq V V)) (not (tptp.ssList V)))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_30)) (MACRO_SR_EQ_INTRO :args (_let_30 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (_let_64))) (let ((_let_67 ((not (= (tptp.ssList V) false))))) (let ((_let_68 (ASSUME :args (_let_26)))) (let ((_let_69 (not _let_1))) (let ((_let_70 (not _let_14))) (let ((_let_71 (not _let_22))) (let ((_let_72 (or))) (let ((_let_73 (REFL :args (_let_69)))) (let ((_let_74 (REFL :args (_let_70)))) (let ((_let_75 (REFL :args (_let_71)))) (let ((_let_76 (and _let_22 _let_21 _let_14 _let_8 _let_62))) (let ((_let_77 (ASSUME :args (_let_62)))) (let ((_let_78 (APPLY_UF tptp.neq))) (let ((_let_79 (ASSUME :args (_let_14)))) (let ((_let_80 (SYMM _let_56))) (let ((_let_81 (SYMM _let_80))) (let ((_let_82 (MACRO_RESOLUTION_TRUST _let_45 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_76)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_77 _let_46 _let_52 _let_79 _let_56) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS _let_81 (SYMM _let_79) _let_53 _let_51) _let_54 :args _let_78) (FALSE_INTRO _let_77))) :args (_let_62 _let_21 _let_8 _let_14 _let_22))) :args (_let_22 _let_21 _let_14 _let_8 _let_62))) :args (true _let_76)) (CONG _let_75 (REFL :args (_let_48)) _let_74 (REFL :args (_let_47)) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_60))) _let_73 :args _let_72)) :args ((or _let_71 _let_48 _let_70 _let_47 _let_69 _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_61 _let_62 (not _let_63)))) _let_68 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.sk1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_63 false _let_64)) :args (_let_62 false _let_26 false _let_63)) _let_46 _let_56 _let_55 _let_46 (ASSUME :args (_let_19)) (ASSUME :args (_let_20)) :args (_let_18 true _let_1 true _let_60 false _let_21 false _let_22 false _let_2 false _let_21 false _let_8 false _let_14)))) (let ((_let_83 (not _let_6))) (let ((_let_84 (and _let_22 _let_6 _let_36))) (let ((_let_85 (ASSUME :args (_let_36)))) (let ((_let_86 (ASSUME :args (_let_6)))) (let ((_let_87 (SYMM _let_86))) (let ((_let_88 (REFL :args (tptp.sk5)))) (let ((_let_89 (ASSUME :args (_let_23)))) (let ((_let_90 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= U V))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_29)) (MACRO_SR_EQ_INTRO :args (_let_29 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (not _let_44))) (let ((_let_93 (or _let_92 _let_39))) (let ((_let_94 (_let_83))) (let ((_let_95 (REFL :args _let_94))) (let ((_let_96 (not _let_12))) (let ((_let_97 (ASSUME :args (_let_12)))) (let ((_let_98 (ASSUME :args (_let_38)))) (let ((_let_99 (ASSUME :args (_let_92)))) (let ((_let_100 (not _let_25))) (let ((_let_101 (not _let_35))) (let ((_let_102 (or _let_101 _let_100))) (let ((_let_103 (ASSUME :args (_let_25)))) (let ((_let_104 (forall ((A $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A)))))) (let ((_let_105 (tptp.segmentP tptp.sk1 tptp.sk5))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.segmentP tptp.sk2 tptp.sk5))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_39 _let_96 _let_108 _let_106))) (let ((_let_110 (tptp.skaf45 tptp.sk4 tptp.sk5))) (let ((_let_111 (= tptp.sk4 (tptp.app tptp.sk5 _let_110)))) (let ((_let_112 (or _let_42 _let_39 _let_40 _let_111))) (let ((_let_113 (tptp.skaf45 tptp.sk3 tptp.sk5))) (let ((_let_114 (= tptp.sk3 (tptp.app tptp.sk5 _let_113)))) (let ((_let_115 (not _let_24))) (let ((_let_116 (not _let_9))) (let ((_let_117 (or _let_116 _let_39 _let_115 _let_114))) (let ((_let_118 (tptp.app tptp.nil tptp.sk5))) (let ((_let_119 (= tptp.sk5 _let_118))) (let ((_let_120 (tptp.app _let_118 _let_110))) (let ((_let_121 (tptp.ssList _let_120))) (let ((_let_122 (tptp.app _let_118 _let_113))) (let ((_let_123 (tptp.ssList _let_122))) (let ((_let_124 (tptp.ssList _let_110))) (let ((_let_125 (tptp.segmentP _let_120 tptp.sk5))) (let ((_let_126 (not _let_121))) (let ((_let_127 (not _let_34))) (let ((_let_128 (not _let_124))) (let ((_let_129 (or _let_128 _let_127 _let_39 _let_126 _let_125))) (let ((_let_130 (tptp.ssList _let_113))) (let ((_let_131 (tptp.segmentP _let_122 tptp.sk5))) (let ((_let_132 (not _let_123))) (let ((_let_133 (not _let_130))) (let ((_let_134 (or _let_133 _let_127 _let_39 _let_132 _let_131))) (let ((_let_135 (_let_104))) (let ((_let_136 (and _let_22 _let_83))) (let ((_let_137 (ASSUME :args _let_94))) (let ((_let_138 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app V (tptp.skaf45 U V))))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (_let_138))) (let ((_let_141 ((not (= (tptp.frontsegP U V) false))))) (let ((_let_142 (or _let_39 _let_119))) (let ((_let_143 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_39 _let_119 (not _let_142)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_143))) _let_144 :args (_let_142 false _let_143)) :args (_let_119 false _let_18 false _let_142)))) (let ((_let_146 (and _let_25 _let_22 _let_119 _let_111))) (let ((_let_147 (APPLY_UF tptp.ssList))) (let ((_let_148 (ASSUME :args (_let_111)))) (let ((_let_149 (SYMM (SYMM _let_148)))) (let ((_let_150 (APPLY_UF tptp.app))) (let ((_let_151 (REFL :args (_let_110)))) (let ((_let_152 (ASSUME :args (_let_119)))) (let ((_let_153 (SYMM (SYMM _let_152)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (and _let_26 _let_21 _let_119 _let_114))) (let ((_let_156 (SYMM _let_51))) (let ((_let_157 (ASSUME :args (_let_114)))) (let ((_let_158 (SYMM (SYMM _let_157)))) (let ((_let_159 (REFL :args (_let_113)))) (let ((_let_160 (ASSUME :args (_let_34)))) (let ((_let_161 (_let_33))) (let ((_let_162 (ASSUME :args _let_161))) (let ((_let_163 ((tptp.skaf45 U V)))) (let ((_let_164 (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_165 (EQ_RESOLVE (ASSUME :args (_let_27)) (MACRO_SR_EQ_INTRO :args (_let_27 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_166 (_let_164))) (let ((_let_167 ((tptp.app (tptp.app U V) W)))) (let ((_let_168 (not _let_119))) (let ((_let_169 (and _let_22 _let_119 _let_111 _let_125))) (let ((_let_170 (ASSUME :args (_let_125)))) (let ((_let_171 (APPLY_UF tptp.segmentP))) (let ((_let_172 (and _let_21 _let_119 _let_114 _let_131))) (let ((_let_173 (ASSUME :args (_let_131)))) (let ((_let_174 (ASSUME :args (_let_1)))) (let ((_let_175 (ASSUME :args (_let_101)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_174 _let_86 _let_175) :args (_let_6 _let_1 _let_101)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_175)) (CONG (REFL :args (tptp.sk2)) _let_87 :args _let_78) (TRUE_INTRO _let_174))) :args (_let_1 _let_6 _let_101)) :args ((not (and _let_6 _let_1 _let_101)) SB_LITERAL))) (CONG _let_95 _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_35))) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_39 _let_96 _let_108 _let_106 (not _let_109)))) _let_82 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_172)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_173 _let_152 _let_157 _let_46) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_156 _let_158 (CONG _let_153 _let_159 :args _let_150)) _let_88 :args _let_171) (TRUE_INTRO _let_173))) :args (_let_131 _let_119 _let_114 _let_21))) :args (_let_21 _let_119 _let_114 _let_131))) :args (true _let_172)) :args ((or _let_48 _let_168 (not _let_114) _let_105 (not _let_131)))) _let_145 _let_46 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_169)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_170 _let_152 _let_148 _let_56) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS _let_81 _let_149 (CONG _let_153 _let_151 :args _let_150)) _let_88 :args _let_171) (TRUE_INTRO _let_170))) :args (_let_125 _let_119 _let_111 _let_22))) :args (_let_22 _let_119 _let_111 _let_125))) :args (true _let_169)) :args ((or _let_71 _let_168 (not _let_111) _let_107 (not _let_125)))) _let_145 _let_56 (REORDERING (CNF_OR_POS :args (_let_134)) :args ((or _let_127 _let_39 _let_133 _let_132 _let_131 (not _let_134)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (tptp.nil tptp.sk5 _let_113 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_166)) _let_165 :args (_let_134 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk3 tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_161)) _let_162 :args (_let_130 false _let_33)) _let_82 _let_160 (REORDERING (CNF_OR_POS :args (_let_129)) :args ((or _let_127 _let_39 _let_128 _let_126 _let_125 (not _let_129)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (tptp.nil tptp.sk5 _let_110 QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_166)) _let_165 :args (_let_129 false _let_164)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args (tptp.sk4 tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_163)) :args _let_161)) _let_162 :args (_let_124 false _let_33)) _let_82 _let_160 (RESOLUTION (CNF_AND_NEG :args (_let_155)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_68 _let_46 _let_157 _let_152) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG _let_154 _let_159 :args _let_150) (SYMM _let_158) (SYMM _let_156)) :args _let_147) (TRUE_INTRO _let_68))) :args (_let_26 _let_21 _let_114 _let_119))) :args (_let_26 _let_21 _let_119 _let_114))) :args (true _let_155)) _let_145 _let_46 _let_68 (RESOLUTION (CNF_AND_NEG :args (_let_146)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_103 _let_56 _let_148 _let_152) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (CONG _let_154 _let_151 :args _let_150) (SYMM _let_149) (SYMM _let_81)) :args _let_147) (TRUE_INTRO _let_103))) :args (_let_25 _let_22 _let_111 _let_119))) :args (_let_25 _let_22 _let_119 _let_111))) :args (true _let_146)) _let_145 _let_56 _let_103 (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_115 _let_39 _let_116 _let_114 (not _let_117)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.sk3 tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_140)) _let_139 :args (_let_117 false _let_138)) _let_82 (ASSUME :args (_let_24)) (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_40 _let_39 _let_42 _let_111 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (tptp.sk4 tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_140)) _let_139 :args (_let_112 false _let_138)) _let_82 _let_89 (REORDERING (ASSUME :args (_let_15)) :args ((or _let_14 _let_9))) (REORDERING (ASSUME :args (_let_16)) :args ((or _let_14 _let_10))) (REORDERING (ASSUME :args (_let_17)) :args ((or _let_14 _let_12))) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_136)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_137 _let_56) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (tptp.nil)) _let_80 :args (=)) (FALSE_INTRO _let_137))) :args (_let_83 _let_22))) :args (_let_22 _let_83))) :args (true _let_136)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_6))) _let_74 :args _let_72)) :args ((or _let_6 _let_71 _let_70))) _let_56 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_135) :args (tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList A) false))))) :args _let_135)) (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args (_let_6 false _let_18 false _let_105 false _let_119 false _let_21 false _let_107 false _let_119 false _let_22 false _let_131 false _let_134 false _let_130 false _let_18 false _let_34 false _let_125 false _let_129 false _let_124 false _let_18 false _let_34 false _let_123 false _let_119 false _let_21 false _let_26 false _let_121 false _let_119 false _let_22 false _let_25 false _let_114 false _let_117 false _let_18 false _let_24 false _let_111 false _let_112 false _let_18 false _let_23 false _let_9 false _let_10 false _let_12 true _let_14 false _let_22 false _let_109 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_100 _let_101 (not _let_102)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_102 false _let_64)) :args (_let_101 false _let_25 false _let_102)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_97 _let_86 _let_56 _let_98 _let_99) :args (_let_22 _let_12 _let_6 _let_92 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_99)) (CONG _let_88 (TRANS (SYMM _let_98) _let_80 _let_87) :args _let_78) (TRUE_INTRO _let_97))) :args (_let_12 _let_6 _let_22 _let_38 _let_92)) :args ((not (and _let_22 _let_12 _let_6 _let_92 _let_38)) SB_LITERAL))) (CONG _let_75 (REFL :args (_let_96)) _let_95 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_44))) (REFL :args ((not _let_38))) :args _let_72)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_39 _let_92 (not _let_93)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_67)) :args _let_66)) _let_65 :args (_let_93 false _let_64)) :args (_let_92 false _let_18 false _let_93)) _let_56 (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_40 _let_39 _let_42 _let_41 _let_38 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.sk4 tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.frontsegP U V) false))))) :args (_let_90))) _let_91 :args (_let_43 false _let_90)) _let_82 _let_89 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_84)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_85 _let_86 _let_56) (SCOPE (TRUE_ELIM (TRANS (CONG _let_88 (TRANS _let_80 _let_87) :args (APPLY_UF tptp.frontsegP)) (TRUE_INTRO _let_85))) :args (_let_36 _let_6 _let_22))) :args (_let_22 _let_6 _let_36))) :args (true _let_84)) :args ((or _let_71 _let_83 _let_37 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_39 _let_36 (not _let_57)))) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (tptp.sk5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_58)) _let_59 :args (_let_57 false _let_32)) :args (_let_36 false _let_18 false _let_57)) _let_56 (REORDERING (ASSUME :args (_let_11)) :args ((or _let_8 _let_10))) (REORDERING (ASSUME :args (_let_13)) :args ((or _let_8 _let_12))) _let_55 _let_46 _let_45 (ASSUME :args (_let_7)) :args (_let_1 true _let_44 false _let_22 false _let_38 false _let_43 false _let_18 false _let_23 false _let_37 false _let_36 false _let_22 false _let_10 false _let_12 true _let_8 false _let_21 true _let_2 false _let_6)) :args (false false _let_6 true _let_35 false _let_1)) :args ((tptp.equalelemsP tptp.nil) (tptp.duplicatefreeP tptp.nil) (tptp.strictorderedP tptp.nil) (tptp.totalorderedP tptp.nil) (tptp.strictorderP tptp.nil) (tptp.totalorderP tptp.nil) (tptp.cyclefreeP tptp.nil) _let_34 (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf81 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf80 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf79 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf78 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))) (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))) (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))) (forall ((U $$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 $$unsorted)) (tptp.ssList (tptp.skaf46 U V))) _let_33 (forall ((U $$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))) _let_32 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (forall ((U $$unsorted)) (or (not (tptp.lt U U)) (not (tptp.ssItem U)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.equalelemsP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.duplicatefreeP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderedP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderedP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.strictorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.totalorderP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.cyclefreeP (tptp.cons U tptp.nil)))) (forall ((U $$unsorted)) (or (not (tptp.memberP tptp.nil U)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) _let_31 (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)))) _let_30 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U tptp.nil) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.singletonP V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) (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))) _let_29 (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))) _let_28 (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 $$unsorted)) (or (not (tptp.ssList U)) (tptp.cyclefreeP U) (= (tptp.app (tptp.app (tptp.skaf51 U) (tptp.cons (tptp.skaf49 U) (tptp.skaf52 U))) (tptp.cons (tptp.skaf50 U) (tptp.skaf53 U))) U))) (forall ((U $$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 $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList W)) (not (tptp.ssList X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.segmentP (tptp.app (tptp.app X U) W) V))) _let_27 (forall ((U $$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 $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (= (tptp.app (tptp.app W (tptp.cons U X)) (tptp.cons V Y)) Z)) (not (tptp.ssList Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (not (tptp.cyclefreeP Z)) (not (tptp.ssList Z)))) _let_26 _let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_17 _let_16 _let_15 _let_13 _let_11 (or _let_9 _let_8) _let_7 _let_5 _let_4 (forall ((A $$unsorted)) (or (not (= tptp.nil tptp.sk1)) (not (tptp.ssList A)) (not (tptp.neq A tptp.nil)) (not (tptp.segmentP tptp.sk2 A)) (not (tptp.segmentP tptp.sk1 A))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.77/1.03 )
% 0.77/1.04 % SZS output end Proof for SWC053-1
% 0.77/1.04 % cvc5---1.0.5 exiting
% 0.77/1.04 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------