TSTP Solution File: SWC315-1 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SWC315-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 20:24:42 EDT 2023
% Result : Unsatisfiable 2.42s 2.66s
% Output : Proof 2.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : SWC315-1 : TPTP v8.1.2. Released v2.4.0.
% 0.06/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 28 17:11:40 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Hxo8Nponlz/cvc5---1.0.5_20609.p...
% 0.21/0.53 ------- get file name : TPTP file name is SWC315-1
% 0.21/0.53 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20609.smt2...
% 0.21/0.53 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.42/2.66 % SZS status Unsatisfiable for SWC315-1
% 2.42/2.66 % SZS output start Proof for SWC315-1
% 2.42/2.67 (
% 2.42/2.67 (let ((_let_1 (tptp.neq tptp.sk4 tptp.nil))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.cons tptp.sk7 tptp.nil))) (let ((_let_4 (tptp.app tptp.sk8 _let_3))) (let ((_let_5 (or (= _let_4 tptp.sk3) _let_2))) (let ((_let_6 (tptp.app _let_3 tptp.sk8))) (let ((_let_7 (or (= _let_6 tptp.sk4) _let_2))) (let ((_let_8 (tptp.ssList tptp.sk8))) (let ((_let_9 (or _let_8 _let_2))) (let ((_let_10 (tptp.ssItem tptp.sk7))) (let ((_let_11 (= tptp.nil tptp.sk1))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.cons tptp.sk5 tptp.nil))) (let ((_let_14 (tptp.app tptp.sk6 _let_13))) (let ((_let_15 (not (= _let_14 tptp.sk1)))) (let ((_let_16 (tptp.app _let_13 tptp.sk6))) (let ((_let_17 (= _let_16 tptp.sk2))) (let ((_let_18 (or _let_17 _let_12))) (let ((_let_19 (tptp.ssList tptp.sk6))) (let ((_let_20 (or _let_19 _let_12))) (let ((_let_21 (= tptp.nil tptp.sk2))) (let ((_let_22 (or _let_15 _let_21))) (let ((_let_23 (or _let_17 _let_21))) (let ((_let_24 (or _let_19 _let_21))) (let ((_let_25 (tptp.ssItem tptp.sk5))) (let ((_let_26 (or _let_25 _let_12))) (let ((_let_27 (or _let_25 _let_21))) (let ((_let_28 (= tptp.nil tptp.sk4))) (let ((_let_29 (not _let_28))) (let ((_let_30 (= tptp.nil tptp.sk3))) (let ((_let_31 (or _let_30 _let_29))) (let ((_let_32 (= tptp.sk1 tptp.sk3))) (let ((_let_33 (= tptp.sk2 tptp.sk4))) (let ((_let_34 (tptp.ssList tptp.sk4))) (let ((_let_35 (tptp.ssList tptp.sk2))) (let ((_let_36 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (= (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)) Y)) (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP Y)) (not (tptp.ssList Y)))))) (let ((_let_37 (forall ((U $$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 ((_let_38 (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_39 (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_40 (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_41 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U)) U) (= tptp.nil U))))) (let ((_let_42 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= V U))))) (let ((_let_43 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) tptp.nil)) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_44 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.hd (tptp.cons U V)) U))))) (let ((_let_45 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= (tptp.tl (tptp.cons U V)) V))))) (let ((_let_46 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (tptp.ssList (tptp.cons U V)))))) (let ((_let_47 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.ssList (tptp.app V U)))))) (let ((_let_48 (forall ((U $$unsorted)) (or (not (tptp.frontsegP tptp.nil U)) (not (tptp.ssList U)) (= tptp.nil U))))) (let ((_let_49 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app tptp.nil U) U))))) (let ((_let_50 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U) (tptp.ssItem V))))) (let ((_let_51 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf74 U))))) (let ((_let_52 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf75 U))))) (let ((_let_53 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf76 U))))) (let ((_let_54 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf77 U))))) (let ((_let_55 (forall ((U $$unsorted)) (tptp.ssList (tptp.skaf82 U))))) (let ((_let_56 (forall ((U $$unsorted)) (tptp.ssItem (tptp.skaf83 U))))) (let ((_let_57 (tptp.ssList tptp.nil))) (let ((_let_58 (= tptp.sk2 _let_16))) (let ((_let_59 (tptp.frontsegP _let_16 _let_13))) (let ((_let_60 (tptp.frontsegP tptp.nil _let_13))) (let ((_let_61 (ASSUME :args (_let_33)))) (let ((_let_62 (not _let_33))) (let ((_let_63 (and _let_33 _let_21))) (let ((_let_64 (_let_33 _let_21))) (let ((_let_65 (SYMM _let_61))) (let ((_let_66 (ASSUME :args (_let_21)))) (let ((_let_67 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_61 _let_66) (SCOPE (TRANS (SYMM (SYMM _let_66)) (SYMM _let_65)) :args _let_64)) :args _let_64)) :args (true _let_63)) :args ((or _let_28 _let_62 (not _let_21)))))) (let ((_let_68 (ASSUME :args (_let_32)))) (let ((_let_69 (not _let_30))) (let ((_let_70 (not _let_32))) (let ((_let_71 (and _let_32 _let_12))) (let ((_let_72 (ASSUME :args (_let_12)))) (let ((_let_73 (SYMM _let_68))) (let ((_let_74 (REFL :args (tptp.nil)))) (let ((_let_75 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_68) (SCOPE (FALSE_ELIM (TRANS (CONG _let_74 _let_73 :args (=)) (FALSE_INTRO _let_72))) :args (_let_12 _let_32))) :args (_let_32 _let_12))) :args (true _let_71)) (CONG (REFL :args (_let_70)) (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) (REFL :args (_let_69)) :args (or))) :args ((or _let_11 _let_70 _let_69))))) (let ((_let_76 (ASSUME :args (_let_31)))) (let ((_let_77 (MACRO_RESOLUTION_TRUST _let_76 _let_75 _let_68 _let_67 _let_61 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_12 _let_58))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_23)) (MACRO_SR_EQ_INTRO :args (_let_23 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_21 _let_58))) :args (_let_58 true _let_30 false _let_32 false _let_28 false _let_33 true _let_11 false _let_21)))) (let ((_let_78 (not _let_34))) (let ((_let_79 (not _let_57))) (let ((_let_80 (or _let_79 _let_78 _let_1 _let_28))) (let ((_let_81 (= tptp.sk1 _let_14))) (let ((_let_82 (tptp.skaf82 tptp.sk2))) (let ((_let_83 (tptp.skaf83 tptp.sk2))) (let ((_let_84 (tptp.cons _let_83 _let_82))) (let ((_let_85 (= tptp.sk2 _let_84))) (let ((_let_86 (not _let_35))) (let ((_let_87 (or _let_86 _let_85 _let_21))) (let ((_let_88 (= tptp.sk4 _let_6))) (let ((_let_89 (= tptp.sk3 _let_4))) (let ((_let_90 (tptp.ssList _let_13))) (let ((_let_91 (not _let_25))) (let ((_let_92 (or _let_91 _let_79 _let_90))) (let ((_let_93 (tptp.tl _let_13))) (let ((_let_94 (= tptp.nil _let_93))) (let ((_let_95 (or _let_91 _let_79 _let_94))) (let ((_let_96 (tptp.hd _let_13))) (let ((_let_97 (= tptp.sk5 _let_96))) (let ((_let_98 (or _let_91 _let_79 _let_97))) (let ((_let_99 (= tptp.nil _let_13))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_100 _let_91 _let_79))) (let ((_let_102 (= tptp.sk6 (tptp.app tptp.nil tptp.sk6)))) (let ((_let_103 (not _let_19))) (let ((_let_104 (or _let_103 _let_102))) (let ((_let_105 (= tptp.sk8 (tptp.app tptp.nil tptp.sk8)))) (let ((_let_106 (not _let_8))) (let ((_let_107 (or _let_106 _let_105))) (let ((_let_108 (= tptp.nil _let_3))) (let ((_let_109 (tptp.hd _let_3))) (let ((_let_110 (= _let_109 (tptp.hd _let_6)))) (let ((_let_111 (tptp.ssList _let_3))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_106 _let_112 _let_108 _let_110))) (let ((_let_114 (tptp.tl _let_3))) (let ((_let_115 (= (tptp.tl _let_6) (tptp.app _let_114 tptp.sk8)))) (let ((_let_116 (or _let_106 _let_112 _let_108 _let_115))) (let ((_let_117 (= _let_96 (tptp.hd _let_16)))) (let ((_let_118 (not _let_90))) (let ((_let_119 (or _let_103 _let_118 _let_99 _let_117))) (let ((_let_120 (= (tptp.tl _let_16) (tptp.app _let_93 tptp.sk6)))) (let ((_let_121 (or _let_103 _let_118 _let_99 _let_120))) (let ((_let_122 (= _let_83 (tptp.hd _let_84)))) (let ((_let_123 (= tptp.nil _let_114))) (let ((_let_124 (= tptp.sk7 _let_109))) (let ((_let_125 (= _let_3 (tptp.app _let_3 tptp.nil)))) (let ((_let_126 (ASSUME :args (_let_57)))) (let ((_let_127 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssList U)) (not (tptp.ssList V)) (tptp.neq V U) (= U V))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_42)) (MACRO_SR_EQ_INTRO :args (_let_42 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (ASSUME :args (_let_35)))) (let ((_let_130 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.cons (tptp.skaf83 U) (tptp.skaf82 U))) (= tptp.nil U))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_41)) (MACRO_SR_EQ_INTRO :args (_let_41 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (_let_46))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 ((tptp.cons U V)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_132)) _let_133 :args (_let_92 false _let_46)))) (let ((_let_136 (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_79 _let_91 _let_90 (not _let_92)))))) (let ((_let_137 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= V (tptp.tl (tptp.cons U V))))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_45)) (MACRO_SR_EQ_INTRO :args (_let_45 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (_let_137))) (let ((_let_140 ((tptp.cons U V)))) (let ((_let_141 (forall ((U $$unsorted) (V $$unsorted)) (or (not (tptp.ssItem U)) (not (tptp.ssList V)) (= U (tptp.hd (tptp.cons U V))))))) (let ((_let_142 (EQ_RESOLVE (ASSUME :args (_let_44)) (MACRO_SR_EQ_INTRO :args (_let_44 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (_let_141))) (let ((_let_144 ((tptp.cons U V)))) (let ((_let_145 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= tptp.nil (tptp.cons U V))) (not (tptp.ssItem U)) (not (tptp.ssList V)))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_43)) (MACRO_SR_EQ_INTRO :args (_let_43 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (_let_145))) (let ((_let_148 ((tptp.cons U V)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_148)) :args _let_147)) _let_146 :args (_let_101 false _let_145)))) (let ((_let_150 (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_79 _let_91 _let_100 (not _let_101)))))) (let ((_let_151 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= U (tptp.app tptp.nil U)))))) (let ((_let_152 (EQ_RESOLVE (ASSUME :args (_let_49)) (MACRO_SR_EQ_INTRO :args (_let_49 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (_let_151))) (let ((_let_154 ((not (= (tptp.ssList U) false))))) (let ((_let_155 (not _let_10))) (let ((_let_156 (not _let_108))) (let ((_let_157 (or _let_156 _let_155 _let_79))) (let ((_let_158 (forall ((V $$unsorted)) (tptp.ssItem V)))) (let ((_let_159 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (tptp.duplicatefreeP U))))) (let ((_let_160 (tptp.skaf77 tptp.sk1))) (let ((_let_161 (tptp.skaf74 tptp.sk1))) (let ((_let_162 (tptp.cons _let_161 _let_160))) (let ((_let_163 (tptp.skaf76 tptp.sk1))) (let ((_let_164 (tptp.cons _let_161 _let_163))) (let ((_let_165 (tptp.skaf75 tptp.sk1))) (let ((_let_166 (tptp.app _let_165 _let_164))) (let ((_let_167 (tptp.app _let_166 _let_162))) (let ((_let_168 (tptp.duplicatefreeP _let_167))) (let ((_let_169 (tptp.ssList _let_167))) (let ((_let_170 (not _let_169))) (let ((_let_171 (or _let_170 _let_168))) (let ((_let_172 (not _let_171))) (let ((_let_173 (not _let_168))) (let ((_let_174 (tptp.ssItem _let_161))) (let ((_let_175 (not _let_174))) (let ((_let_176 (tptp.ssList _let_165))) (let ((_let_177 (not _let_176))) (let ((_let_178 (tptp.ssList _let_163))) (let ((_let_179 (not _let_178))) (let ((_let_180 (tptp.ssList _let_160))) (let ((_let_181 (not _let_180))) (let ((_let_182 (or _let_181 _let_179 _let_177 _let_175 _let_173 _let_170))) (let ((_let_183 (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X)))) (or (not (tptp.ssList X)) (not (tptp.ssList W)) (not (tptp.ssList U)) (not (tptp.ssItem V)) (not (tptp.duplicatefreeP _let_1)) (not (tptp.ssList _let_1))))))) (let ((_let_184 (EQ_RESOLVE (ASSUME :args (_let_36)) (MACRO_SR_EQ_INTRO :args (_let_36 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_185 (tptp.ssList _let_166))) (let ((_let_186 (not _let_185))) (let ((_let_187 (tptp.ssList _let_162))) (let ((_let_188 (not _let_187))) (let ((_let_189 (or _let_188 _let_186 _let_169))) (let ((_let_190 (_let_47))) (let ((_let_191 (ASSUME :args _let_190))) (let ((_let_192 ((tptp.app V U)))) (let ((_let_193 (tptp.ssList _let_164))) (let ((_let_194 (not _let_193))) (let ((_let_195 (or _let_194 _let_177 _let_185))) (let ((_let_196 (_let_52))) (let ((_let_197 (ASSUME :args _let_196))) (let ((_let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_197 :args (tptp.sk1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf75 U)))) :args _let_196)) _let_197 :args (_let_176 false _let_52)))) (let ((_let_199 (or _let_175 _let_179 _let_193))) (let ((_let_200 (_let_53))) (let ((_let_201 (ASSUME :args _let_200))) (let ((_let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_201 :args (tptp.sk1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf76 U)))) :args _let_200)) _let_201 :args (_let_178 false _let_53)))) (let ((_let_203 (_let_51))) (let ((_let_204 (ASSUME :args _let_203))) (let ((_let_205 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_204 :args (tptp.sk1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf74 U)))) :args _let_203)) _let_204 :args (_let_174 false _let_51)))) (let ((_let_206 (or _let_175 _let_181 _let_187))) (let ((_let_207 (_let_54))) (let ((_let_208 (ASSUME :args _let_207))) (let ((_let_209 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_208 :args (tptp.sk1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf77 U)))) :args _let_207)) _let_208 :args (_let_180 false _let_54)))) (let ((_let_210 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_189)) :args ((or _let_188 _let_186 _let_169 (not _let_189)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_206)) :args ((or _let_187 _let_175 _let_181 (not _let_206)))) _let_205 _let_209 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_161 _let_160 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_132)) _let_133 :args (_let_206 false _let_46)) :args (_let_187 false _let_174 false _let_180 false _let_206)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_195)) :args ((or _let_194 _let_177 _let_185 (not _let_195)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_199)) :args ((or _let_193 _let_175 _let_179 (not _let_199)))) _let_205 _let_202 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_161 _let_163 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_132)) _let_133 :args (_let_199 false _let_46)) :args (_let_193 false _let_174 false _let_178 false _let_199)) _let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (_let_164 _let_165 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_192)) :args _let_190)) _let_191 :args (_let_195 false _let_47)) :args (_let_185 false _let_193 false _let_176 false _let_195)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (_let_162 _let_166 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_192)) :args _let_190)) _let_191 :args (_let_189 false _let_47)) :args (_let_169 false _let_187 false _let_185 false _let_189)))) (let ((_let_211 (_let_159))) (let ((_let_212 (_let_158))) (let ((_let_213 (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_212) :args (tptp.sk7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssItem V) true))))) :args _let_212)) :args ((or _let_10 (not _let_158)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (ASSUME :args (_let_50)) (MACRO_SR_EQ_INTRO :args (_let_50 SB_DEFAULT SBA_FIXPOINT))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_211) :args (_let_167 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_211)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_171)) :args ((or _let_170 _let_168 _let_172))) _let_210 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_182)) :args ((or _let_177 _let_175 _let_179 _let_181 _let_170 _let_173 (not _let_182)))) _let_198 _let_205 _let_202 _let_209 _let_210 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_165 _let_161 _let_163 _let_160 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.app U (tptp.cons V W)) (tptp.cons V X))))) :args (_let_183))) _let_184 :args (_let_182 false _let_183)) :args (_let_173 false _let_176 false _let_174 false _let_178 false _let_180 false _let_169 false _let_182)) :args (_let_172 false _let_169 true _let_168)) :args ((not _let_159) true _let_171)) :args (_let_158 true _let_159)) :args (_let_10 false _let_158)))) (let ((_let_214 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_157)) :args ((or _let_79 _let_155 _let_156 (not _let_157)))) _let_126 _let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (tptp.sk7 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_148)) :args _let_147)) _let_146 :args (_let_157 false _let_145)) :args (_let_156 false _let_57 false _let_10 false _let_157)))) (let ((_let_215 (_let_39))) (let ((_let_216 (ASSUME :args _let_215))) (let ((_let_217 ((tptp.app V U)))) (let ((_let_218 (or _let_155 _let_79 _let_111))) (let ((_let_219 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_218)) :args ((or _let_79 _let_155 _let_111 (not _let_218)))) _let_126 _let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.sk7 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_132)) _let_133 :args (_let_218 false _let_46)) :args (_let_111 false _let_57 false _let_10 false _let_218)))) (let ((_let_220 (_let_38))) (let ((_let_221 (ASSUME :args _let_220))) (let ((_let_222 (tptp.ssList _let_82))) (let ((_let_223 (not _let_222))) (let ((_let_224 (tptp.ssItem _let_83))) (let ((_let_225 (not _let_224))) (let ((_let_226 (or _let_225 _let_223 _let_122))) (let ((_let_227 (_let_55))) (let ((_let_228 (ASSUME :args _let_227))) (let ((_let_229 (_let_56))) (let ((_let_230 (ASSUME :args _let_229))) (let ((_let_231 (or _let_155 _let_79 _let_123))) (let ((_let_232 (or _let_155 _let_79 _let_124))) (let ((_let_233 (or _let_155 _let_79 _let_125))) (let ((_let_234 (_let_40))) (let ((_let_235 (ASSUME :args _let_234))) (let ((_let_236 (not _let_58))) (let ((_let_237 (and _let_33 _let_32 _let_58 _let_88 _let_89 _let_102 _let_94 _let_97 _let_85 _let_117 _let_105 _let_123 _let_124 _let_122 _let_125 _let_110 _let_115 _let_120))) (let ((_let_238 (APPLY_UF tptp.app))) (let ((_let_239 (REFL :args (_let_13)))) (let ((_let_240 (ASSUME :args (_let_102)))) (let ((_let_241 (SYMM _let_240))) (let ((_let_242 (ASSUME :args (_let_94)))) (let ((_let_243 (ASSUME :args (_let_120)))) (let ((_let_244 (APPLY_UF tptp.tl))) (let ((_let_245 (ASSUME :args (_let_58)))) (let ((_let_246 (SYMM (SYMM _let_245)))) (let ((_let_247 (APPLY_UF tptp.cons))) (let ((_let_248 (ASSUME :args (_let_97)))) (let ((_let_249 (ASSUME :args (_let_117)))) (let ((_let_250 (APPLY_UF tptp.hd))) (let ((_let_251 (CONG _let_246 :args _let_250))) (let ((_let_252 (SYMM _let_251))) (let ((_let_253 (ASSUME :args (_let_85)))) (let ((_let_254 (ASSUME :args (_let_122)))) (let ((_let_255 (TRANS (SYMM (SYMM _let_254)) (CONG (TRANS (SYMM _let_253) _let_246) :args _let_250) _let_252))) (let ((_let_256 (ASSUME :args (_let_88)))) (let ((_let_257 (SYMM _let_256))) (let ((_let_258 (ASSUME :args (_let_110)))) (let ((_let_259 (ASSUME :args (_let_124)))) (let ((_let_260 (ASSUME :args (_let_125)))) (let ((_let_261 (ASSUME :args (_let_115)))) (let ((_let_262 (REFL :args (tptp.sk8)))) (let ((_let_263 (ASSUME :args (_let_123)))) (let ((_let_264 (ASSUME :args (_let_105)))) (let ((_let_265 (ASSUME :args (_let_89)))) (let ((_let_266 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_237)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_240 _let_242 _let_243 _let_245 _let_61 _let_256 _let_261 _let_263 _let_264 _let_248 _let_249 _let_253 _let_254 _let_258 _let_259 _let_260 _let_265 _let_68) (SCOPE (TRANS (SYMM _let_73) (SYMM (SYMM _let_265)) (CONG _let_262 _let_260 :args _let_238) (CONG (TRANS (SYMM (SYMM _let_264)) (CONG (SYMM (SYMM _let_263)) _let_262 :args _let_238) (SYMM _let_261) (CONG (TRANS _let_257 _let_65) :args _let_244)) (TRANS (SYMM _let_260) (CONG (TRANS (TRANS (SYMM (SYMM _let_259)) (SYMM (SYMM _let_258)) (CONG (TRANS _let_257 _let_65 _let_246) :args _let_250) _let_252) (SYMM _let_255)) _let_74 :args _let_247) (CONG (TRANS _let_255 (TRANS _let_251 (SYMM _let_249) (SYMM _let_248))) _let_74 :args _let_247)) :args _let_238) (CONG (TRANS (TRANS (CONG _let_246 :args _let_244) (SYMM (SYMM _let_243)) (CONG (SYMM _let_242) (REFL :args (tptp.sk6)) :args _let_238) _let_241) _let_240) _let_239 :args _let_238) (CONG _let_241 _let_239 :args _let_238)) :args (_let_102 _let_94 _let_120 _let_58 _let_33 _let_88 _let_115 _let_123 _let_105 _let_97 _let_117 _let_85 _let_122 _let_110 _let_124 _let_125 _let_89 _let_32))) :args (_let_33 _let_32 _let_58 _let_88 _let_89 _let_102 _let_94 _let_97 _let_85 _let_117 _let_105 _let_123 _let_124 _let_122 _let_125 _let_110 _let_115 _let_120))) :args (true _let_237)) :args ((or _let_81 _let_62 _let_70 _let_236 (not _let_88) (not _let_89) (not _let_102) (not _let_94) (not _let_97) (not _let_85) (not _let_117) (not _let_105) (not _let_123) (not _let_124) (not _let_122) (not _let_125) (not _let_110) (not _let_115) (not _let_120)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_233)) :args ((or _let_79 _let_155 _let_125 (not _let_233)))) _let_126 _let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_235 :args (tptp.sk7 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.cons U V)))) :args _let_234))) _let_235 :args (_let_233 false _let_40)) :args (_let_125 false _let_57 false _let_10 false _let_233)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_232)) :args ((or _let_79 _let_155 _let_124 (not _let_232)))) _let_126 _let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (tptp.sk7 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) _let_142 :args (_let_232 false _let_141)) :args (_let_124 false _let_57 false _let_10 false _let_232)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_79 _let_155 _let_123 (not _let_231)))) _let_126 _let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.sk7 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_140)) :args _let_139)) _let_138 :args (_let_231 false _let_137)) :args (_let_123 false _let_57 false _let_10 false _let_231)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_226)) :args ((or _let_225 _let_223 _let_122 (not _let_226)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_230 :args (tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf83 U)))) :args _let_229)) _let_230 :args (_let_224 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_228 :args (tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.skaf82 U)))) :args _let_227)) _let_228 :args (_let_222 false _let_55)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (_let_83 _let_82 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) _let_142 :args (_let_226 false _let_141)) :args (_let_122 false _let_224 false _let_222 false _let_226)) _let_77 _let_68 _let_61 (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_103 _let_118 _let_99 _let_120 (not _let_121)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk6 _let_13 QUANTIFIERS_INST_E_MATCHING ((tptp.app (tptp.tl V) U)))) :args _let_220)) _let_221 :args (_let_121 false _let_38)) (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_103 _let_118 _let_99 _let_117 (not _let_119)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_216 :args (tptp.sk6 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215))) _let_216 :args (_let_119 false _let_39)) (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_106 _let_108 _let_112 _let_115 (not _let_116)))) _let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_221 :args (tptp.sk8 _let_3 QUANTIFIERS_INST_E_MATCHING ((tptp.tl (tptp.app V U))))) :args _let_220)) _let_221 :args (_let_116 false _let_38)) _let_214 (REORDERING (CNF_OR_POS :args (_let_113)) :args ((or _let_106 _let_108 _let_112 _let_110 (not _let_113)))) _let_219 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_216 :args (tptp.sk8 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_217)) :args _let_215))) _let_216 :args (_let_113 false _let_39)) _let_214 (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_106 _let_105 (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_154)) :args _let_153)) _let_152 :args (_let_107 false _let_151)) (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_103 _let_102 (not _let_104)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_154)) :args _let_153)) _let_152 :args (_let_104 false _let_151)) _let_150 _let_149 _let_126 (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_79 _let_91 _let_97 (not _let_98)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) _let_142 :args (_let_98 false _let_141)) _let_126 (REORDERING (CNF_OR_POS :args (_let_95)) :args ((or _let_79 _let_91 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.sk5 tptp.nil QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_140)) :args _let_139)) _let_138 :args (_let_95 false _let_137)) _let_126 _let_136 _let_135 _let_126 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_2 _let_89))) (REORDERING (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_2 _let_88))) (REORDERING (ASSUME :args (_let_9)) :args ((or _let_2 _let_8))) (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_21 _let_86 _let_85 (not _let_87)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.sk2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args (_let_130))) _let_131 :args (_let_87 false _let_130)) _let_129 (REORDERING (EQ_RESOLVE (ASSUME :args (_let_22)) (MACRO_SR_EQ_INTRO :args (_let_22 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_21 (not _let_81)))) (REORDERING (ASSUME :args (_let_24)) :args ((or _let_21 _let_19))) (ASSUME :args (_let_27)) (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_28 _let_1 _let_79 _let_78 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.nil tptp.sk4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.neq V U) true))))) :args (_let_127))) _let_128 :args (_let_80 false _let_127)) (ASSUME :args (_let_34)) _let_126 _let_67 _let_61 :args (_let_28 false _let_125 false _let_124 false _let_123 false _let_122 false _let_58 false _let_32 false _let_33 false _let_120 false _let_121 false _let_117 false _let_119 false _let_115 false _let_111 false _let_116 true _let_108 false _let_110 false _let_111 false _let_113 true _let_108 false _let_105 false _let_107 false _let_102 false _let_104 true _let_99 false _let_101 false _let_57 false _let_97 false _let_98 false _let_57 false _let_94 false _let_95 false _let_57 false _let_90 false _let_92 false _let_57 false _let_89 false _let_88 false _let_8 false _let_85 false _let_87 false _let_35 true _let_81 false _let_19 false _let_25 false _let_1 false _let_80 false _let_34 false _let_57 true _let_21 false _let_33)))) (let ((_let_267 (tptp.ssList _let_16))) (let ((_let_268 (not _let_267))) (let ((_let_269 (or _let_103 _let_118 _let_268 _let_59))) (let ((_let_270 (forall ((U $$unsorted) (V $$unsorted)) (let ((_let_1 (tptp.app U V))) (or (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssList _let_1)) (tptp.frontsegP _let_1 U)))))) (let ((_let_271 (EQ_RESOLVE (ASSUME :args (_let_37)) (MACRO_SR_EQ_INTRO :args (_let_37 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_272 (and _let_35 _let_58))) (let ((_let_273 (_let_35 _let_58))) (let ((_let_274 (MACRO_RESOLUTION_TRUST _let_75 _let_68 (MACRO_RESOLUTION_TRUST _let_76 _let_266 :args (_let_30 false _let_28)) :args (_let_11 false _let_32 false _let_30)))) (let ((_let_275 (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_26)) _let_274 :args (_let_25 false _let_11)))) (let ((_let_276 (MACRO_RESOLUTION_TRUST _let_136 _let_126 _let_275 _let_135 :args (_let_90 false _let_57 false _let_25 false _let_92)))) (let ((_let_277 (not _let_60))) (let ((_let_278 (or _let_277 _let_118 _let_99))) (let ((_let_279 (_let_48))) (let ((_let_280 (ASSUME :args _let_279))) (let ((_let_281 (and _let_33 _let_28 _let_58 _let_59))) (let ((_let_282 (ASSUME :args (_let_59)))) (let ((_let_283 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_281)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_282 _let_245 _let_61 _let_283) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (TRANS (SYMM (SYMM _let_283)) _let_65) _let_246) _let_239 :args (APPLY_UF tptp.frontsegP)) (TRUE_INTRO _let_282))) :args (_let_59 _let_58 _let_33 _let_28))) :args (_let_33 _let_28 _let_58 _let_59))) :args (true _let_281)) :args ((or _let_29 _let_62 _let_236 (not _let_59) _let_60))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_278)) :args ((or _let_118 _let_99 _let_277 (not _let_278)))) _let_276 (MACRO_RESOLUTION_TRUST _let_150 _let_126 _let_275 _let_149 :args (_let_100 false _let_57 false _let_25 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_280 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ssList U) false))))) :args _let_279)) _let_280 :args (_let_278 false _let_48)) :args (_let_277 false _let_90 true _let_99 false _let_278)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_269)) :args ((or _let_103 _let_118 _let_268 _let_59 (not _let_269)))) (MACRO_RESOLUTION_TRUST (REORDERING (ASSUME :args (_let_20)) :args ((or _let_12 _let_19))) _let_274 :args (_let_19 false _let_11)) _let_276 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_272)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_129 _let_245) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_246) :args (APPLY_UF tptp.ssList)) (TRUE_INTRO _let_129))) :args _let_273)) :args _let_273)) :args (true _let_272)) _let_129 _let_77 :args (_let_267 false _let_35 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_271 :args (_let_13 tptp.sk6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.app U V)))) :args (_let_270))) _let_271 :args (_let_269 false _let_270)) :args (_let_59 false _let_19 false _let_90 false _let_267 false _let_269)) _let_266 _let_77 _let_61 :args (false true _let_60 false _let_59 false _let_28 false _let_58 false _let_33)) :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_57 (tptp.ssItem tptp.skac3) (tptp.ssItem tptp.skac2) (not (tptp.singletonP tptp.nil)) _let_56 _let_55 (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 $$unsorted)) (tptp.ssItem (tptp.skaf78 U))) _let_54 _let_53 _let_52 _let_51 (forall ((U $$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 $$unsorted)) (tptp.ssList (tptp.skaf46 U V))) (forall ((U $$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)))) _let_50 (forall ((U $$unsorted)) (or (not (tptp.ssList U)) (= (tptp.app U tptp.nil) U))) _let_49 (forall ((U $$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))) _let_48 _let_47 _let_46 (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 $$unsorted)) (or (not (tptp.leq (tptp.skaf54 U) (tptp.skaf55 U))) (not (tptp.ssList U)) (tptp.totalorderP U))) _let_45 _let_44 _let_43 (forall ((U $$unsorted) (V $$unsorted)) (or (not (= (tptp.cons U V) V)) (not (tptp.ssItem U)) (not (tptp.ssList V)))) _let_42 (forall ((U $$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 $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem U)) (not (tptp.ssItem V)) (tptp.geq V U))) _let_41 (forall ((U $$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 $$unsorted)) (or (not (= (tptp.app U V) tptp.nil)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= tptp.nil V))) _let_40 (forall ((U $$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 $$unsorted)) (or (not (tptp.leq U V)) (not (tptp.ssItem V)) (not (tptp.ssItem U)) (tptp.lt U V) (= U V))) _let_39 (forall ((U $$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 $$unsorted)) (or (not (tptp.frontsegP U V)) (not (tptp.ssList V)) (not (tptp.ssList U)) (= (tptp.app V (tptp.skaf45 U V)) U))) _let_38 (forall ((U $$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 $$unsorted)) (or (not (= (tptp.app U V) W)) (not (tptp.ssList U)) (not (tptp.ssList V)) (not (tptp.ssList W)) (tptp.rearsegP W V))) _let_37 (forall ((U $$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 $$unsorted)) (or (not (tptp.frontsegP U V)) (not (= W X)) (not (tptp.ssList V)) (not (tptp.ssList U)) (not (tptp.ssItem X)) (not (tptp.ssItem W)) (tptp.frontsegP (tptp.cons W U) (tptp.cons X V)))) _let_36 (forall ((U $$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_35 (tptp.ssList tptp.sk3) _let_34 _let_33 _let_32 _let_31 _let_27 _let_26 _let_24 _let_23 _let_22 _let_20 _let_18 (or _let_15 _let_12) (or _let_10 _let_2) _let_9 _let_7 _let_5))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.42/2.67 )
% 2.52/2.69 % SZS output end Proof for SWC315-1
% 2.52/2.70 % cvc5---1.0.5 exiting
% 2.52/2.70 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------