TSTP Solution File: SWC323-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 20:24:45 EDT 2023
% Result : Unsatisfiable 1.51s 1.70s
% Output : Proof 1.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC323-1 : TPTP v8.1.2. Released v2.4.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 17:38:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.21/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jvRvEWuZdM/cvc5---1.0.5_24871.p...
% 0.21/0.53 ------- get file name : TPTP file name is SWC323-1
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24871.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.51/1.70 % SZS status Unsatisfiable for SWC323-1
% 1.51/1.70 % SZS output start Proof for SWC323-1
% 1.51/1.71 (
% 1.51/1.71 (let ((_let_1 (tptp.neq tptp.sk4 tptp.nil))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.cons tptp.sk5 tptp.nil))) (let ((_let_4 (tptp.app tptp.sk6 _let_3))) (let ((_let_5 (or (= _let_4 tptp.sk3) _let_2))) (let ((_let_6 (tptp.app _let_3 tptp.sk6))) (let ((_let_7 (or (= _let_6 tptp.sk4) _let_2))) (let ((_let_8 (tptp.ssList tptp.sk6))) (let ((_let_9 (or _let_8 _let_2))) (let ((_let_10 (tptp.ssItem tptp.sk5))) (let ((_let_11 (or _let_10 _let_2))) (let ((_let_12 (= tptp.nil tptp.sk4))) (let ((_let_13 (not _let_12))) (let ((_let_14 (= tptp.nil tptp.sk3))) (let ((_let_15 (or _let_14 _let_13))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.ssList B)) (not (= (tptp.app A B) tptp.sk2)) (not (= (tptp.app B A) tptp.sk1)))))) (let ((_let_17 (= tptp.sk1 tptp.sk3))) (let ((_let_18 (= tptp.sk2 tptp.sk4))) (let ((_let_19 (tptp.ssList tptp.sk4))) (let ((_let_20 (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_21 (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_22 (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_23 (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_24 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_26 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) (let ((_let_28 (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.segmentP tptp.nil U))))) (let ((_let_29 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf47 U V))))) (let ((_let_30 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf48 U V))))) (let ((_let_31 (tptp.ssList tptp.nil))) (let ((_let_32 (tptp.app tptp.nil tptp.nil))) (let ((_let_33 (= tptp.sk1 _let_32))) (let ((_let_34 (not _let_33))) (let ((_let_35 (= tptp.sk2 _let_32))) (let ((_let_36 (not _let_35))) (let ((_let_37 (not _let_31))) (let ((_let_38 (or _let_37 _let_37 _let_36 _let_34))) (let ((_let_39 (ASSUME :args (_let_31)))) (let ((_let_40 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ssList A)) (not (tptp.ssList B)) (not (= tptp.sk2 (tptp.app A B))) (not (= tptp.sk1 (tptp.app B A))))))) (let ((_let_41 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (_let_40))) (let ((_let_43 ((tptp.app A B)))) (let ((_let_44 (= tptp.nil _let_32))) (let ((_let_45 (ASSUME :args (_let_18)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_21)) (MACRO_SR_EQ_INTRO :args (_let_21 SB_DEFAULT SBA_FIXPOINT))) _let_39 :args (_let_44 false _let_31)))) (let ((_let_47 (not _let_19))) (let ((_let_48 (or _let_37 _let_47 _let_1 _let_12))) (let ((_let_49 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_24)) (MACRO_SR_EQ_INTRO :args (_let_24 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.nil tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.neq V U) true))))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)))) (let ((_let_52 (ASSUME :args (_let_19)))) (let ((_let_53 (tptp.ssList _let_3))) (let ((_let_54 (not _let_10))) (let ((_let_55 (or _let_54 _let_37 _let_53))) (let ((_let_56 (= tptp.nil _let_3))) (let ((_let_57 (not _let_56))) (let ((_let_58 (or _let_57 _let_54 _let_37))) (let ((_let_59 (tptp.skaf48 tptp.nil tptp.nil))) (let ((_let_60 (tptp.skaf47 tptp.nil tptp.nil))) (let ((_let_61 (tptp.app _let_60 tptp.nil))) (let ((_let_62 (tptp.app _let_61 _let_59))) (let ((_let_63 (= tptp.sk1 _let_62))) (let ((_let_64 (= tptp.nil _let_62))) (let ((_let_65 (= tptp.sk3 _let_4))) (let ((_let_66 (not _let_8))) (let ((_let_67 (not _let_53))) (let ((_let_68 (= tptp.nil _let_4))) (let ((_let_69 (not _let_68))) (let ((_let_70 (or _let_69 _let_67 _let_66 _let_56))) (let ((_let_71 (_let_26))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 (tptp.ssList _let_61))) (let ((_let_76 (not _let_63))) (let ((_let_77 (tptp.app _let_59 _let_61))) (let ((_let_78 (= tptp.sk2 _let_77))) (let ((_let_79 (not _let_78))) (let ((_let_80 (not _let_75))) (let ((_let_81 (tptp.ssList _let_59))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_80 _let_79 _let_76))) (let ((_let_84 (= tptp.nil _let_61))) (let ((_let_85 (= tptp.nil _let_59))) (let ((_let_86 (tptp.ssList _let_60))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_37 _let_87 _let_75))) (let ((_let_89 (_let_27))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (_let_29))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_37 _let_87 _let_75 (not _let_88)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.nil tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf47 U V)))) :args _let_91)) _let_92 :args (_let_86 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.nil _let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.app V U)))) :args _let_89)) _let_90 :args (_let_88 false _let_27)) :args (_let_75 false _let_31 false _let_86 false _let_88)))) (let ((_let_94 (_let_30))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (tptp.nil tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf48 U V)))) :args _let_94)) _let_95 :args (_let_81 false _let_30)))) (let ((_let_97 (tptp.segmentP tptp.nil tptp.nil))) (let ((_let_98 (not _let_97))) (let ((_let_99 (or _let_98 _let_37 _let_37 _let_64))) (let ((_let_100 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= U (tptp.app (tptp.app (tptp.skaf47 U V) V) (tptp.skaf48 V U))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_20)) (MACRO_SR_EQ_INTRO :args (_let_20 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_99))) :args ((or _let_37 _let_98 _let_64 (not _let_99)))) _let_39 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_28)) (MACRO_SR_EQ_INTRO :args (_let_28 SB_DEFAULT SBA_FIXPOINT))) _let_39 :args (_let_97 false _let_31)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (tptp.nil tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.segmentP U V) false))))) :args (_let_100))) _let_101 :args (_let_99 false _let_100)) :args (_let_64 false _let_31 false _let_97 false _let_99)))) (let ((_let_103 (not _let_64))) (let ((_let_104 (or _let_103 _let_82 _let_80 _let_84))) (let ((_let_105 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (or _let_103 _let_82 _let_80 _let_85))) (let ((_let_108 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.app U V))) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 ((tptp.app U V)))) (let ((_let_112 (not _let_85))) (let ((_let_113 (not _let_84))) (let ((_let_114 (not _let_18))) (let ((_let_115 (not _let_44))) (let ((_let_116 (or))) (let ((_let_117 (_let_76))) (let ((_let_118 (REFL :args (_let_103)))) (let ((_let_119 (REFL :args (_let_115)))) (let ((_let_120 (= tptp.sk1 _let_77))) (let ((_let_121 (ASSUME :args (_let_63)))) (let ((_let_122 (SYMM _let_121))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (ASSUME :args (_let_44)))) (let ((_let_125 (SYMM (SYMM _let_124)))) (let ((_let_126 (ASSUME :args (_let_64)))) (let ((_let_127 (SYMM _let_126))) (let ((_let_128 (SYMM (TRANS _let_127 _let_125)))) (let ((_let_129 (ASSUME :args (_let_12)))) (let ((_let_130 (SYMM _let_129))) (let ((_let_131 (SYMM (SYMM _let_45)))) (let ((_let_132 (ASSUME :args (_let_79)))) (let ((_let_133 (APPLY_UF tptp.app))) (let ((_let_134 (ASSUME :args (_let_84)))) (let ((_let_135 (REFL :args (tptp.nil)))) (let ((_let_136 (ASSUME :args (_let_85)))) (let ((_let_137 (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_12 _let_1 _let_37 _let_47 (not _let_48)))))) (let ((_let_138 (REORDERING (ASSUME :args (_let_9)) :args ((or _let_2 _let_8))))) (let ((_let_139 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_2 _let_65))))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.sk6 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_70 false _let_108)))) (let ((_let_141 (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_66 _let_56 _let_67 _let_69 (not _let_70)))))) (let ((_let_142 (ASSUME :args (_let_17)))) (let ((_let_143 (and _let_17 _let_65 _let_64 _let_63))) (let ((_let_144 (ASSUME :args (_let_65)))) (let ((_let_145 (SYMM (SYMM _let_144)))) (let ((_let_146 (SYMM (SYMM _let_142)))) (let ((_let_147 (not _let_14))) (let ((_let_148 (not _let_17))) (let ((_let_149 (REFL :args (_let_147)))) (let ((_let_150 (ASSUME :args (_let_14)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (ASSUME :args _let_117))) (let ((_let_153 (ASSUME :args (_let_15)))) (let ((_let_154 (= tptp.sk1 _let_4))) (let ((_let_155 (= tptp.sk4 _let_6))) (let ((_let_156 (not _let_154))) (let ((_let_157 (= tptp.sk2 _let_6))) (let ((_let_158 (not _let_157))) (let ((_let_159 (or _let_67 _let_66 _let_158 _let_156))) (let ((_let_160 (not _let_65))) (let ((_let_161 (and _let_17 _let_65))) (let ((_let_162 (and _let_65 _let_69))) (let ((_let_163 (ASSUME :args (_let_69)))) (let ((_let_164 (and _let_18 _let_155))) (let ((_let_165 (ASSUME :args (_let_155)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST _let_137 (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_11)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_164)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_165 _let_45) (SCOPE (TRANS _let_131 (SYMM (SYMM _let_165))) :args (_let_155 _let_18))) :args (_let_18 _let_155))) :args (true _let_164)) _let_45 (REORDERING (CNF_OR_POS :args (_let_159)) :args ((or _let_66 _let_67 _let_158 _let_156 (not _let_159)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_3 tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_159 false _let_40)) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_2 _let_155))) _let_138 _let_137 _let_51 _let_52 _let_39 _let_153 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_162)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_163 _let_144) (SCOPE (FALSE_ELIM (TRANS (CONG _let_135 _let_145 :args (=)) (FALSE_INTRO _let_163))) :args (_let_69 _let_65))) :args (_let_65 _let_69))) :args (true _let_162)) (CONG (REFL :args (_let_160)) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) _let_149 :args _let_116)) :args ((or _let_147 _let_160 _let_68))) (RESOLUTION (CNF_AND_NEG :args (_let_161)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_144 _let_142) (SCOPE (TRANS _let_146 _let_145) :args (_let_65 _let_17))) :args (_let_17 _let_65))) :args (true _let_161)) _let_142 :args ((or _let_160 _let_67 _let_68) false _let_18 true _let_157 false _let_159 false _let_155 false _let_8 false _let_1 false _let_48 false _let_19 false _let_31 true _let_12 true _let_14 false _let_154 false _let_17)) _let_141 _let_140 _let_139 _let_138 _let_137 _let_51 _let_52 _let_39 _let_153 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_124 _let_150 _let_142 _let_126 _let_152) :args (_let_17 _let_14 _let_44 _let_64 _let_76)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_152)) (TRUE_INTRO (TRANS (TRANS _let_146 _let_151) _let_125 _let_128)))) :args (_let_44 _let_14 _let_17 _let_64 _let_76)) :args ((not (and _let_17 _let_14 _let_44 _let_64 _let_76)) SB_LITERAL))) (CONG (REFL :args (_let_148)) _let_149 _let_119 _let_118 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_63))) :args _let_116)) :args ((or _let_115 _let_148 _let_147 _let_103 _let_63))) _let_102 _let_142 _let_46 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_143)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_144 _let_142 _let_121 _let_126) (SCOPE (TRANS (SYMM _let_127) _let_122 _let_146 _let_145) :args (_let_65 _let_17 _let_63 _let_64))) :args (_let_17 _let_65 _let_64 _let_63))) :args (true _let_143)) _let_102 _let_142 _let_141 _let_140 _let_139 _let_138 _let_137 _let_51 _let_52 _let_39 (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_124 _let_129 _let_45 _let_126 _let_121 (MODUS_PONENS (AND_INTRO _let_134 _let_136 _let_124 _let_126 _let_121) (SCOPE (TRANS _let_123 _let_127 _let_125 (CONG (SYMM (SYMM _let_136)) _let_135 :args _let_133) (CONG (REFL :args (_let_59)) (SYMM (SYMM _let_134)) :args _let_133)) :args (_let_84 _let_85 _let_44 _let_64 _let_63))) _let_132) :args (_let_18 _let_12 _let_44 _let_64 _let_84 _let_85 _let_79 _let_63)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_132)) (TRUE_INTRO (TRANS (TRANS _let_131 _let_130) _let_125 _let_128 (SYMM (TRANS (SYMM (ASSUME :args (_let_120))) _let_123)))))) :args (_let_44 _let_12 _let_18 _let_64 _let_63 _let_120 _let_79)) :args ((not (and _let_18 _let_12 _let_44 _let_64 _let_84 _let_85 _let_79 _let_63)) SB_LITERAL))) (CONG (REFL :args (_let_114)) (REFL :args (_let_13)) _let_119 _let_118 (REFL :args (_let_113)) (REFL :args (_let_112)) (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) (REFL :args _let_117) :args _let_116)) :args ((or _let_13 _let_115 _let_114 _let_103 _let_113 _let_78 _let_76 _let_112))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_103 _let_82 _let_80 _let_85 (not _let_107)))) _let_102 _let_96 _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_61 _let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_111)) :args _let_110)) _let_109 :args (_let_107 false _let_108)) :args (_let_85 false _let_64 false _let_81 false _let_75 false _let_107)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_84 _let_82 _let_80 (not _let_104)))) _let_102 _let_96 _let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_61 _let_59 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.app U V)))) :args (_let_105))) _let_106 :args (_let_104 false _let_105)) :args (_let_84 false _let_64 false _let_81 false _let_75 false _let_104)) _let_102 _let_45 _let_46 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_82 _let_80 _let_79 _let_76 (not _let_83)))) _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_59 _let_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.app B A)))) :args _let_42)) _let_41 :args (_let_83 false _let_40)) _let_93 :args ((or _let_56 _let_67 _let_76) false _let_64 false _let_17 true _let_68 false _let_70 false _let_65 false _let_8 false _let_1 false _let_48 false _let_19 false _let_31 true _let_12 false _let_85 false _let_84 false _let_64 false _let_18 false _let_44 true _let_78 false _let_81 false _let_83 false _let_75)) (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_37 _let_54 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_73))) _let_74 :args (_let_58 false _let_73)) _let_39 (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_37 _let_54 _let_53 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_71)) _let_72 :args (_let_55 false _let_26)) _let_39 :args (_let_54 true _let_68 false _let_70 false _let_65 false _let_8 false _let_1 false _let_48 false _let_19 false _let_31 true _let_12 true _let_14 false _let_64 false _let_17 false _let_44 true _let_63 true _let_56 false _let_58 false _let_31 false _let_53 false _let_55 false _let_31)) :args (_let_2 true _let_10)) _let_39 _let_52 _let_51 :args (_let_12 true _let_1 false _let_31 false _let_19 false _let_48)))) (let ((_let_167 (and _let_18 _let_12 _let_44))) (let ((_let_168 (and _let_17 _let_14 _let_44))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_38))) :args ((or _let_37 _let_36 _let_34 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_168)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_124 _let_150 _let_142) (SCOPE (TRANS _let_146 _let_151 _let_125) :args (_let_44 _let_14 _let_17))) :args (_let_17 _let_14 _let_44))) :args (true _let_168)) :args ((or _let_115 _let_148 _let_147 _let_33))) _let_46 _let_142 (MACRO_RESOLUTION_TRUST _let_153 _let_166 :args (_let_14 false _let_12)) :args (_let_33 false _let_44 false _let_17 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_167)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_124 _let_129 _let_45) (SCOPE (TRANS _let_131 _let_130 _let_125) :args (_let_44 _let_12 _let_18))) :args (_let_18 _let_12 _let_44))) :args (true _let_167)) :args ((or _let_13 _let_115 _let_114 _let_35))) _let_166 _let_46 _let_45 :args (_let_35 false _let_12 false _let_44 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (tptp.nil tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_42)) _let_41 :args (_let_38 false _let_40)) _let_39 :args (false false _let_33 false _let_35 false _let_38 false _let_31)) :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_31 (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 $$unsorted)) (tptp.ssItem (tptp.skaf44 U))) _let_30 _let_29 (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf46 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf45 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf43 U V))) (forall ((U $$unsorted) (V $$unsorted)) (tptp.ssList (tptp.skaf42 U V))) (not (= tptp.skac3 tptp.skac2)) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.geq U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.segmentP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.rearsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U tptp.nil))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.frontsegP U U))) (forall ((U $$unsorted)) (or (not (tptp.ssItem U)) (tptp.leq U U))) (forall ((U $$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 $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) (forall ((U $$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))) _let_28 (forall ((U $$unsorted)) (or (not (tptp.segmentP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.rearsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) (forall ((U $$unsorted)) (or (not (= tptp.nil U)) (not (tptp.ssList U)) (tptp.frontsegP tptp.nil U))) (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))) _let_27 _let_26 (forall ((U $$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))) _let_25 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) _let_24 (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 $$unsorted)) (or (not (= U V)) (not (tptp.neq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)))) _let_23 _let_22 (forall ((U $$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 $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not 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(tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))) (forall ((U $$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_21 (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_20 (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) (tptp.ssList tptp.sk3) _let_19 _let_18 _let_17 _let_16 _let_15 _let_11 _let_9 _let_7 _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.51/1.71 )
% 1.51/1.72 % SZS output end Proof for SWC323-1
% 1.51/1.73 % cvc5---1.0.5 exiting
% 1.51/1.73 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------