TSTP Solution File: SWC314-1 by cvc5---1.0.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SWC314-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n023.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 20:24:41 EDT 2023

% Result   : Unsatisfiable 0.41s 0.60s
% Output   : Proof 0.41s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem    : SWC314-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.11  % Command    : do_cvc5 %s %d
% 0.11/0.31  % Computer : n023.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit   : 300
% 0.11/0.31  % WCLimit    : 300
% 0.11/0.31  % DateTime   : Mon Aug 28 18:01:25 EDT 2023
% 0.17/0.31  % CPUTime    : 
% 0.17/0.43  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.43  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.w2UBrpihvO/cvc5---1.0.5_26158.p...
% 0.17/0.46  ------- get file name : TPTP file name is SWC314-1
% 0.17/0.46  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_26158.smt2...
% 0.17/0.46  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.41/0.60  % SZS status Unsatisfiable for SWC314-1
% 0.41/0.60  % SZS output start Proof for SWC314-1
% 0.41/0.62  (
% 0.41/0.62  (let ((_let_1 (= tptp.nil tptp.sk1))) (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 (not (= _let_4 tptp.sk1)))) (let ((_let_6 (tptp.app _let_3 tptp.sk6))) (let ((_let_7 (= _let_6 tptp.sk2))) (let ((_let_8 (or _let_7 _let_2))) (let ((_let_9 (tptp.ssList tptp.sk6))) (let ((_let_10 (or _let_9 _let_2))) (let ((_let_11 (= tptp.nil tptp.sk2))) (let ((_let_12 (or _let_5 _let_11))) (let ((_let_13 (or _let_7 _let_11))) (let ((_let_14 (or _let_9 _let_11))) (let ((_let_15 (tptp.ssItem tptp.sk5))) (let ((_let_16 (or _let_15 _let_2))) (let ((_let_17 (or _let_15 _let_11))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (not (tptp.neq tptp.nil tptp.sk4)))) (or (not (tptp.ssList A)) (= tptp.sk3 A) (not (tptp.ssList B)) (not (tptp.ssList C)) (not (= (tptp.tl tptp.sk4) B)) (not (= (tptp.app B C) A)) (not (tptp.ssItem D)) (not (= (tptp.cons D tptp.nil) C)) (not (= (tptp.hd tptp.sk4) D)) _let_1 _let_1 (not (tptp.neq tptp.sk4 tptp.nil))))))) (let ((_let_19 (= tptp.nil tptp.sk4))) (let ((_let_20 (not _let_19))) (let ((_let_21 (= tptp.nil tptp.sk3))) (let ((_let_22 (or _let_21 _let_20))) (let ((_let_23 (= tptp.sk1 tptp.sk3))) (let ((_let_24 (= tptp.sk2 tptp.sk4))) (let ((_let_25 (tptp.ssList tptp.sk4))) (let ((_let_26 (tptp.ssList tptp.sk2))) (let ((_let_27 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))))) (let ((_let_28 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.tl (tptp.app V U)) (tptp.app (tptp.tl V) U)))))) (let ((_let_29 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (= tptp.nil V) (= (tptp.hd (tptp.app V U)) (tptp.hd V)))))) (let ((_let_30 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.app (tptp.cons U tptp.nil) V) (tptp.cons U V)))))) (let ((_let_31 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_32 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_33 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))) (let ((_let_34 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))) (let ((_let_35 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_36 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) (let ((_let_37 (forall ((U $$unsorted)) (or (not (tptp.rearsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_38 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssItem (tptp.hd U)) (= tptp.nil U))))) (let ((_let_39 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.ssList (tptp.tl U)) (= tptp.nil U))))) (let ((_let_40 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_41 (tptp.ssList tptp.nil))) (let ((_let_42 (= tptp.sk2 _let_6))) (let ((_let_43 (= tptp.nil _let_3))) (let ((_let_44 (= tptp.sk6 (tptp.app tptp.nil tptp.sk6)))) (let ((_let_45 (= _let_6 (tptp.cons tptp.sk5 tptp.sk6)))) (let ((_let_46 (= tptp.nil tptp.sk6))) (let ((_let_47 (ASSUME :args (_let_24)))) (let ((_let_48 (not _let_24))) (let ((_let_49 (and _let_24 _let_11))) (let ((_let_50 (_let_24 _let_11))) (let ((_let_51 (SYMM _let_47))) (let ((_let_52 (ASSUME :args (_let_11)))) (let ((_let_53 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_49)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_47 _let_52) (SCOPE (TRANS (SYMM (SYMM _let_52)) (SYMM _let_51)) :args _let_50)) :args _let_50)) :args (true _let_49)) :args ((or _let_19 _let_48 (not _let_11)))))) (let ((_let_54 (ASSUME :args (_let_23)))) (let ((_let_55 (not _let_21))) (let ((_let_56 (not _let_23))) (let ((_let_57 (or))) (let ((_let_58 (REFL :args (_let_56)))) (let ((_let_59 (and _let_23 _let_2))) (let ((_let_60 (ASSUME :args (_let_2)))) (let ((_let_61 (=))) (let ((_let_62 (SYMM _let_54))) (let ((_let_63 (REFL :args (tptp.nil)))) (let ((_let_64 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_59)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_60 _let_54) (SCOPE (FALSE_ELIM (TRANS (CONG _let_63 _let_62 :args _let_61) (FALSE_INTRO _let_60))) :args (_let_2 _let_23))) :args (_let_23 _let_2))) :args (true _let_59)) (CONG _let_58 (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_55)) :args _let_57)) :args ((or _let_1 _let_56 _let_55))))) (let ((_let_65 (ASSUME :args (_let_22)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST _let_65 _let_64 _let_54 _let_53 _let_47 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_2 _let_42))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_11 _let_42))) :args (_let_42 true _let_21 false _let_23 false _let_19 false _let_24 true _let_1 false _let_11)))) (let ((_let_67 (tptp.tl tptp.sk4))) (let ((_let_68 (tptp.ssList _let_67))) (let ((_let_69 (not _let_25))) (let ((_let_70 (or _let_69 _let_68 _let_19))) (let ((_let_71 (tptp.hd tptp.sk4))) (let ((_let_72 (tptp.ssItem _let_71))) (let ((_let_73 (or _let_69 _let_72 _let_19))) (let ((_let_74 (tptp.neq tptp.nil tptp.sk4))) (let ((_let_75 (not _let_41))) (let ((_let_76 (or _let_69 _let_75 _let_74 _let_19))) (let ((_let_77 (tptp.neq tptp.sk4 tptp.nil))) (let ((_let_78 (or _let_75 _let_69 _let_77 _let_19))) (let ((_let_79 (= tptp.sk1 _let_4))) (let ((_let_80 (tptp.ssList _let_3))) (let ((_let_81 (not _let_15))) (let ((_let_82 (or _let_81 _let_75 _let_80))) (let ((_let_83 (tptp.tl _let_3))) (let ((_let_84 (= tptp.nil _let_83))) (let ((_let_85 (or _let_81 _let_75 _let_84))) (let ((_let_86 (tptp.hd _let_3))) (let ((_let_87 (= tptp.sk5 _let_86))) (let ((_let_88 (or _let_81 _let_75 _let_87))) (let ((_let_89 (not _let_43))) (let ((_let_90 (or _let_89 _let_81 _let_75))) (let ((_let_91 (not _let_9))) (let ((_let_92 (or _let_91 _let_44))) (let ((_let_93 (tptp.ssList _let_4))) (let ((_let_94 (not _let_80))) (let ((_let_95 (or _let_94 _let_91 _let_93))) (let ((_let_96 (= _let_86 (tptp.hd _let_6)))) (let ((_let_97 (or _let_91 _let_94 _let_43 _let_96))) (let ((_let_98 (= (tptp.tl _let_6) (tptp.app _let_83 tptp.sk6)))) (let ((_let_99 (or _let_91 _let_94 _let_43 _let_98))) (let ((_let_100 (tptp.cons _let_71 tptp.nil))) (let ((_let_101 (tptp.ssList _let_100))) (let ((_let_102 (tptp.app _let_67 _let_100))) (let ((_let_103 (tptp.ssList _let_102))) (let ((_let_104 (= tptp.sk3 _let_102))) (let ((_let_105 (ASSUME :args (_let_25)))) (let ((_let_106 (_let_39))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (_let_38))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (ASSUME :args (_let_41)))) (let ((_let_111 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_31)) (MACRO_SR_EQ_INTRO :args (_let_31 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_111))) (let ((_let_114 ((not (= (tptp.neq V U) true))))) (let ((_let_115 (not _let_79))) (let ((_let_116 (_let_35))) (let ((_let_117 (ASSUME :args _let_116))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_116)) _let_117 :args (_let_82 false _let_35)))) (let ((_let_119 (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_75 _let_81 _let_80 (not _let_82)))))) (let ((_let_120 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_34)) (MACRO_SR_EQ_INTRO :args (_let_34 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_33)) (MACRO_SR_EQ_INTRO :args (_let_33 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_32)) (MACRO_SR_EQ_INTRO :args (_let_32 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_124))) _let_125 :args (_let_90 false _let_124)))) (let ((_let_127 (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_75 _let_81 _let_89 (not _let_90)))))) (let ((_let_128 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_40)) (MACRO_SR_EQ_INTRO :args (_let_40 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_128))) _let_129 :args (_let_92 false _let_128)))) (let ((_let_131 (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_44 (not _let_92)))))) (let ((_let_132 (_let_36))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 (_let_29))) (let ((_let_135 (ASSUME :args _let_134))) (let ((_let_136 (_let_28))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 (not _let_96))) (let ((_let_139 (not _let_87))) (let ((_let_140 (not _let_42))) (let ((_let_141 (and _let_24 _let_42 _let_80 _let_87 _let_96))) (let ((_let_142 (ASSUME :args (_let_80)))) (let ((_let_143 (APPLY_UF tptp.ssList))) (let ((_let_144 (APPLY_UF tptp.cons))) (let ((_let_145 (ASSUME :args (_let_87)))) (let ((_let_146 (ASSUME :args (_let_96)))) (let ((_let_147 (ASSUME :args (_let_42)))) (let ((_let_148 (SYMM (SYMM _let_147)))) (let ((_let_149 (TRANS _let_51 _let_148))) (let ((_let_150 (CONG (TRANS (CONG _let_149 :args (APPLY_UF tptp.hd)) (SYMM _let_146) (SYMM _let_145)) _let_63 :args _let_144))) (let ((_let_151 (not _let_98))) (let ((_let_152 (not _let_84))) (let ((_let_153 (not _let_44))) (let ((_let_154 (and _let_24 _let_42 _let_44 _let_93 _let_84 _let_87 _let_96 _let_98))) (let ((_let_155 (ASSUME :args (_let_93)))) (let ((_let_156 (APPLY_UF tptp.app))) (let ((_let_157 (ASSUME :args (_let_44)))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (REFL :args (tptp.sk6)))) (let ((_let_160 (ASSUME :args (_let_84)))) (let ((_let_161 (ASSUME :args (_let_98)))) (let ((_let_162 (CONG (TRANS (CONG _let_149 :args (APPLY_UF tptp.tl)) (SYMM (SYMM _let_161)) (CONG (SYMM _let_160) _let_159 :args _let_156) _let_158) _let_150 :args _let_156))) (let ((_let_163 (not _let_104))) (let ((_let_164 (and _let_24 _let_23 _let_42 _let_115 _let_44 _let_84 _let_87 _let_96 _let_98))) (let ((_let_165 (ASSUME :args (_let_115)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or (not _let_74) (not _let_77) (not _let_68) (not _let_103) _let_104 (not _let_101) (not _let_72)))) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_164)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_165 _let_54 _let_157 _let_160 _let_161 _let_147 _let_47 _let_145 _let_146) (SCOPE (FALSE_ELIM (TRANS (CONG _let_62 _let_162 :args _let_61) (FALSE_INTRO _let_165))) :args (_let_115 _let_23 _let_44 _let_84 _let_98 _let_42 _let_24 _let_87 _let_96))) :args (_let_24 _let_23 _let_42 _let_115 _let_44 _let_84 _let_87 _let_96 _let_98))) :args (true _let_164)) (CONG (REFL :args (_let_48)) _let_58 (REFL :args (_let_140)) (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_79))) (REFL :args (_let_153)) (REFL :args (_let_152)) (REFL :args (_let_139)) (REFL :args (_let_138)) (REFL :args (_let_151)) (REFL :args (_let_163)) :args _let_57)) :args ((or _let_79 _let_48 _let_56 _let_163 _let_140 _let_153 _let_152 _let_139 _let_138 _let_151))) _let_66 _let_54 _let_47 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_154)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_155 _let_157 _let_160 _let_161 _let_147 _let_47 _let_145 _let_146) (SCOPE (TRUE_ELIM (TRANS (CONG _let_162 :args _let_143) (TRUE_INTRO _let_155))) :args (_let_93 _let_44 _let_84 _let_98 _let_42 _let_24 _let_87 _let_96))) :args (_let_24 _let_42 _let_44 _let_93 _let_84 _let_87 _let_96 _let_98))) :args (true _let_154)) :args ((or _let_103 _let_48 _let_140 (not _let_93) _let_153 _let_152 _let_139 _let_138 _let_151))) _let_66 _let_47 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_141)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_142 _let_145 _let_146 _let_147 _let_47) (SCOPE (TRUE_ELIM (TRANS (CONG _let_150 :args _let_143) (TRUE_INTRO _let_142))) :args (_let_80 _let_87 _let_96 _let_42 _let_24))) :args (_let_24 _let_42 _let_80 _let_87 _let_96))) :args (true _let_141)) :args ((or _let_101 _let_48 _let_140 _let_94 _let_139 _let_138))) _let_66 _let_47 (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_91 _let_94 _let_43 _let_98 (not _let_99)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (tptp.sk6 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.tl (tptp.app V U))))) :args _let_136)) _let_137 :args (_let_99 false _let_28)) (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_91 _let_94 _let_43 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_135 :args (tptp.sk6 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.app V U)))) :args _let_134))) _let_135 :args (_let_97 false _let_29)) (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_91 _let_94 _let_93 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_3 tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.app V U)))) :args _let_132)) _let_133 :args (_let_95 false _let_36)) _let_131 _let_130 _let_127 _let_126 _let_110 (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_75 _let_81 _let_87 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_122))) _let_123 :args (_let_88 false _let_122)) _let_110 (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_75 _let_81 _let_84 (not _let_85)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args (_let_120))) _let_121 :args (_let_85 false 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:args (_let_178 false _let_9 false _let_80 false _let_179 false _let_181)) :args (_let_173 false _let_19 false _let_24 false _let_42 false _let_178)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_177 :args (tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_176)) _let_177 :args (_let_175 false _let_37)) :args (_let_46 false _let_9 false _let_173 false _let_175)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_170)) :args ((or _let_81 _let_91 _let_45 (not _let_170)))) _let_168 _let_169 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (tptp.sk5 tptp.sk6 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.cons U tptp.nil) V)))) :args _let_171)) _let_172 :args (_let_170 false _let_30)) :args (_let_45 false _let_15 false _let_9 false _let_170)) (MACRO_RESOLUTION_TRUST _let_131 _let_169 _let_130 :args (_let_44 false _let_9 false _let_92)) (MACRO_RESOLUTION_TRUST _let_127 _let_110 _let_168 _let_126 :args (_let_89 false _let_41 false _let_15 false _let_90)) _let_166 _let_66 _let_47 :args (false false _let_46 false _let_45 false _let_44 true _let_43 false _let_19 false _let_42 false _let_24)) :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_41 (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 $$unsorted)) (tptp.ssList 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(not (tptp.ssList U)) (= (tptp.cons (tptp.hd U) (tptp.tl U)) U) (= tptp.nil U))) (forall ((U $$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)))) (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))) _let_30 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) _let_29 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.strictorderedP V) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.totalorderedP V) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.geq U V)) (not (tptp.geq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.segmentP U V)) (not (tptp.segmentP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.rearsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.frontsegP V U)) (not (tptp.ssList U)) (not (tptp.ssList V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.leq V U)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (= V U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app (tptp.skaf46 U V) V) U))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))) _let_28 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.strictorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.lt U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.totalorderedP (tptp.cons U V))) (not (tptp.ssList V)) (not (tptp.ssItem U)) (tptp.leq U (tptp.hd V)) (= tptp.nil V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.rearsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.rearsegP (tptp.app W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList W)) (not (tptp.ssList V)) (not (tptp.ssList U)) (tptp.frontsegP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (= U V)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.memberP (tptp.cons V W) U))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssItem W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.cons W U) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app U W) V))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted)) (or (not (tptp.memberP U V)) (not (tptp.ssList U)) (not (tptp.ssList W)) (not (tptp.ssItem V)) (tptp.memberP (tptp.app W U) V))) (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.equalelemsP U) (= (tptp.app (tptp.skaf80 U) (tptp.cons (tptp.skaf78 U) (tptp.cons (tptp.skaf79 U) (tptp.skaf81 U)))) U))) _let_27 (forall ((U $$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))) (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) _let_26 (tptp.ssList tptp.sk3) _let_25 _let_24 _let_23 _let_22 _let_18 _let_17 _let_16 _let_14 _let_13 _let_12 _let_10 _let_8 (or _let_5 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.41/0.62  )
% 0.41/0.62  % SZS output end Proof for SWC314-1
% 0.41/0.62  % cvc5---1.0.5 exiting
% 0.41/0.62  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------