TSTP Solution File: LCL109-10 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 07:00:43 EDT 2023
% Result : Unsatisfiable 7.12s 7.30s
% Output : Proof 7.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL109-10 : TPTP v8.1.2. Released v7.5.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n002.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 : Thu Aug 24 21:25:31 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.bGV8dNt9iA/cvc5---1.0.5_7921.p...
% 0.21/0.50 ------- get file name : TPTP file name is LCL109-10
% 0.21/0.50 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7921.smt2...
% 0.21/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 7.12/7.30 % SZS status Unsatisfiable for LCL109-10
% 7.12/7.30 % SZS output start Proof for LCL109-10
% 7.12/7.31 (
% 7.12/7.31 (let ((_let_1 (tptp.implies tptp.b tptp.a))) (let ((_let_2 (tptp.implies tptp.a tptp.b))) (let ((_let_3 (tptp.implies _let_2 _let_1))) (let ((_let_4 (tptp.implies _let_3 _let_1))) (let ((_let_5 (not (= _let_4 tptp.truth)))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies X (tptp.implies Y Z)) (tptp.implies Y (tptp.implies X Z)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Z X) (tptp.implies Z Y))) tptp.truth)))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies X (tptp.implies Y X)) tptp.truth)))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.ifeq (tptp.implies X Y) (tptp.implies Y X) X Y) Y)))) (let ((_let_10 (forall ((X $$unsorted)) (= (tptp.implies X X) tptp.truth)))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_13 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.ifeq A A B C) B)))) (let ((_let_15 (= tptp.truth _let_4))) (let ((_let_16 (tptp.implies _let_1 _let_2))) (let ((_let_17 (tptp.implies _let_16 _let_2))) (let ((_let_18 (= _let_4 _let_17))) (let ((_let_19 (tptp.implies tptp.b _let_2))) (let ((_let_20 (= tptp.truth _let_19))) (let ((_let_21 (tptp.implies tptp.a _let_1))) (let ((_let_22 (= tptp.truth _let_21))) (let ((_let_23 (tptp.implies _let_1 _let_3))) (let ((_let_24 (= tptp.truth _let_23))) (let ((_let_25 (tptp.implies _let_2 tptp.a))) (let ((_let_26 (tptp.implies tptp.b _let_25))) (let ((_let_27 (= _let_3 _let_26))) (let ((_let_28 (tptp.implies _let_3 tptp.a))) (let ((_let_29 (tptp.implies tptp.b _let_28))) (let ((_let_30 (= _let_4 _let_29))) (let ((_let_31 (= tptp.truth (tptp.implies _let_2 _let_19)))) (let ((_let_32 (tptp.implies _let_2 _let_16))) (let ((_let_33 (= tptp.truth _let_32))) (let ((_let_34 (tptp.implies tptp.a _let_25))) (let ((_let_35 (= tptp.truth _let_34))) (let ((_let_36 (tptp.implies tptp.a _let_28))) (let ((_let_37 (= tptp.truth _let_36))) (let ((_let_38 (tptp.implies _let_1 _let_26))) (let ((_let_39 (= tptp.truth (tptp.implies _let_34 _let_38)))) (let ((_let_40 (tptp.implies _let_16 tptp.b))) (let ((_let_41 (tptp.implies tptp.a _let_40))) (let ((_let_42 (= _let_17 _let_41))) (let ((_let_43 (tptp.implies _let_2 tptp.b))) (let ((_let_44 (tptp.implies _let_1 tptp.a))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (tptp.implies _let_4 _let_1))) (let ((_let_47 (= _let_46 (tptp.implies _let_23 _let_3)))) (let ((_let_48 (tptp.implies tptp.b tptp.b))) (let ((_let_49 (= tptp.truth _let_48))) (let ((_let_50 (tptp.implies tptp.a tptp.a))) (let ((_let_51 (= tptp.truth _let_50))) (let ((_let_52 (= tptp.truth (tptp.implies _let_28 _let_36)))) (let ((_let_53 (tptp.implies tptp.a _let_44))) (let ((_let_54 (= tptp.truth _let_53))) (let ((_let_55 (= tptp.truth (tptp.implies _let_1 _let_46)))) (let ((_let_56 (tptp.implies _let_28 tptp.b))) (let ((_let_57 (tptp.implies tptp.b _let_56))) (let ((_let_58 (= tptp.truth _let_57))) (let ((_let_59 (tptp.implies _let_4 tptp.a))) (let ((_let_60 (= _let_46 (tptp.implies tptp.b _let_59)))) (let ((_let_61 (tptp.implies tptp.a _let_3))) (let ((_let_62 (= _let_61 (tptp.implies _let_2 _let_21)))) (let ((_let_63 (= tptp.a (tptp.implies tptp.truth tptp.a)))) (let ((_let_64 (= tptp.b (tptp.implies tptp.truth tptp.b)))) (let ((_let_65 (= _let_1 (tptp.implies tptp.truth _let_1)))) (let ((_let_66 (= _let_2 (tptp.implies tptp.truth _let_2)))) (let ((_let_67 (= _let_3 (tptp.implies tptp.truth _let_3)))) (let ((_let_68 (tptp.implies _let_38 _let_28))) (let ((_let_69 (= (tptp.implies (tptp.implies _let_28 _let_38) _let_38) (tptp.implies _let_68 _let_28)))) (let ((_let_70 (tptp.implies _let_28 tptp.a))) (let ((_let_71 (= _let_70 (tptp.implies _let_61 _let_3)))) (let ((_let_72 (tptp.implies _let_44 tptp.a))) (let ((_let_73 (= (tptp.implies _let_21 _let_1) _let_72))) (let ((_let_74 (tptp.implies _let_43 tptp.b))) (let ((_let_75 (= (tptp.implies _let_19 _let_2) _let_74))) (let ((_let_76 (= (tptp.implies _let_17 _let_2) (tptp.implies _let_32 _let_16)))) (let ((_let_77 (tptp.implies _let_56 tptp.b))) (let ((_let_78 (tptp.implies _let_29 _let_28))) (let ((_let_79 (= _let_78 _let_77))) (let ((_let_80 (tptp.implies _let_40 tptp.a))) (let ((_let_81 (tptp.implies tptp.a _let_80))) (let ((_let_82 (= tptp.truth _let_81))) (let ((_let_83 (tptp.implies _let_29 tptp.a))) (let ((_let_84 (= _let_78 (tptp.implies _let_3 _let_83)))) (let ((_let_85 (= _let_16 (tptp.implies tptp.truth _let_16)))) (let ((_let_86 (= _let_28 (tptp.implies tptp.truth _let_28)))) (let ((_let_87 (= (tptp.implies _let_72 tptp.a) (tptp.implies _let_53 _let_44)))) (let ((_let_88 (tptp.implies _let_80 tptp.a))) (let ((_let_89 (= (tptp.implies _let_41 _let_40) _let_88))) (let ((_let_90 (tptp.implies _let_83 tptp.b))) (let ((_let_91 (tptp.implies _let_90 tptp.b))) (let ((_let_92 (= (tptp.implies (tptp.implies tptp.b _let_83) _let_83) _let_91))) (let ((_let_93 (tptp.implies _let_40 _let_28))) (let ((_let_94 (tptp.implies _let_28 _let_40))) (let ((_let_95 (= _let_40 (tptp.ifeq _let_94 _let_93 _let_28 _let_40)))) (let ((_let_96 (tptp.implies _let_59 tptp.b))) (let ((_let_97 (= tptp.truth (tptp.implies tptp.b _let_96)))) (let ((_let_98 (tptp.implies _let_44 _let_28))) (let ((_let_99 (= _let_98 (tptp.implies _let_3 _let_72)))) (let ((_let_100 (tptp.implies _let_43 _let_40))) (let ((_let_101 (= (tptp.implies _let_16 _let_74) _let_100))) (let ((_let_102 (tptp.implies _let_50 tptp.b))) (let ((_let_103 (= (tptp.implies _let_28 _let_102) (tptp.implies _let_50 _let_56)))) (let ((_let_104 (= (tptp.implies _let_40 (tptp.implies _let_48 tptp.a)) (tptp.implies _let_48 _let_80)))) (let ((_let_105 (= (tptp.implies _let_56 _let_102) (tptp.implies _let_50 _let_77)))) (let ((_let_106 (= (tptp.implies _let_59 _let_102) (tptp.implies _let_50 _let_96)))) (let ((_let_107 (= _let_94 (tptp.implies _let_16 _let_56)))) (let ((_let_108 (= tptp.truth (tptp.implies (tptp.implies _let_90 _let_16) (tptp.implies _let_40 _let_91))))) (let ((_let_109 (tptp.implies _let_28 _let_44))) (let ((_let_110 (= (tptp.implies _let_98 _let_28) (tptp.implies _let_109 _let_44)))) (let ((_let_111 (= (tptp.implies _let_100 _let_40) (tptp.implies (tptp.implies _let_40 _let_43) _let_43)))) (let ((_let_112 (= (tptp.implies _let_91 tptp.b) (tptp.implies (tptp.implies tptp.b _let_90) _let_90)))) (let ((_let_113 (= (tptp.implies _let_57 _let_56) (tptp.implies _let_77 tptp.b)))) (let ((_let_114 (= (tptp.implies _let_81 _let_80) (tptp.implies _let_88 tptp.a)))) (let ((_let_115 (= tptp.truth (tptp.implies _let_56 (tptp.implies _let_98 (tptp.implies _let_44 tptp.b)))))) (let ((_let_116 (= (tptp.implies _let_1 _let_70) _let_109))) (let ((_let_117 (= _let_93 (tptp.implies _let_3 _let_80)))) (let ((_let_118 (tptp.implies _let_70 _let_59))) (let ((_let_119 (= (tptp.implies _let_40 (tptp.implies _let_34 _let_118)) (tptp.implies _let_34 (tptp.implies _let_40 _let_118))))) (let ((_let_120 (= _let_28 (tptp.ifeq _let_93 _let_93 _let_28 _let_40)))) (let ((_let_121 (_let_11))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 ((tptp.implies (tptp.implies X Y) Y)))) (let ((_let_124 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.truth (tptp.implies X (tptp.implies Y X)))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 ((tptp.implies Y X)))) (let ((_let_128 (_let_6))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 ((tptp.implies X (tptp.implies Y Z))))) (let ((_let_131 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Z X) (tptp.implies Z Y))))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (_let_131))) (let ((_let_134 ((tptp.implies (tptp.implies Z X) (tptp.implies Z Y))))) (let ((_let_135 (forall ((X $$unsorted)) (= tptp.truth (tptp.implies X X))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (_let_135))) (let ((_let_138 ((not (= (tptp.implies X X) tptp.truth))))) (let ((_let_139 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (_let_139))) (let ((_let_142 ((tptp.implies tptp.truth X)))) (let ((_let_143 (forall ((X $$unsorted) (Y $$unsorted)) (= Y (tptp.ifeq (tptp.implies X Y) (tptp.implies Y X) X Y))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= B (tptp.ifeq A A B C))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (and _let_18 _let_20 _let_22 _let_24 _let_27 _let_30 _let_31 _let_33 _let_35 _let_37 _let_39 _let_42 _let_45 _let_47 _let_49 _let_51 _let_52 _let_54 _let_55 _let_58 _let_60 _let_62 _let_63 _let_64 _let_65 _let_66 _let_67 _let_69 _let_71 _let_73 _let_75 _let_76 _let_79 _let_82 _let_84 _let_85 _let_86 _let_87 _let_89 _let_92 _let_95 _let_97 _let_99 _let_101 _let_103 _let_104 _let_105 _let_106 _let_107 _let_108 _let_110 _let_111 _let_112 _let_113 _let_114 _let_115 _let_116 _let_117 _let_119 _let_120))) (let ((_let_150 (ASSUME :args (_let_18)))) (let ((_let_151 (SYMM _let_150))) (let ((_let_152 (APPLY_UF tptp.implies))) (let ((_let_153 (ASSUME :args (_let_66)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (REFL :args (_let_2)))) (let ((_let_156 (ASSUME :args (_let_20)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (CONG _let_157 _let_155 :args _let_152))) (let ((_let_159 (ASSUME :args (_let_75)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (REFL :args (tptp.b)))) (let ((_let_162 (ASSUME :args (_let_45)))) (let ((_let_163 (SYMM (SYMM _let_162)))) (let ((_let_164 (REFL :args (tptp.a)))) (let ((_let_165 (ASSUME :args (_let_65)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (REFL :args (_let_1)))) (let ((_let_168 (ASSUME :args (_let_22)))) (let ((_let_169 (SYMM _let_168))) (let ((_let_170 (CONG _let_169 _let_167 :args _let_152))) (let ((_let_171 (ASSUME :args (_let_73)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (TRANS _let_172 _let_170 _let_166))) (let ((_let_174 (ASSUME :args (_let_87)))) (let ((_let_175 (REFL :args (_let_44)))) (let ((_let_176 (ASSUME :args (_let_54)))) (let ((_let_177 (ASSUME :args (_let_49)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (ASSUME :args (_let_55)))) (let ((_let_180 (ASSUME :args (_let_47)))) (let ((_let_181 (REFL :args (_let_3)))) (let ((_let_182 (ASSUME :args (_let_24)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (ASSUME :args (_let_31)))) (let ((_let_186 (ASSUME :args (_let_62)))) (let ((_let_187 (ASSUME :args (_let_71)))) (let ((_let_188 (TRANS (SYMM (SYMM _let_187)) (CONG (TRANS (TRANS (SYMM (SYMM _let_186)) (CONG _let_155 (TRANS _let_169 _let_156) :args _let_152) (SYMM _let_185)) _let_184) _let_181 :args _let_152) (SYMM _let_180)))) (let ((_let_189 (ASSUME :args (_let_116)))) (let ((_let_190 (ASSUME :args (_let_110)))) (let ((_let_191 (REFL :args (_let_28)))) (let ((_let_192 (ASSUME :args (_let_99)))) (let ((_let_193 (TRANS (CONG _let_181 (SYMM _let_173) :args _let_152) (SYMM _let_192)))) (let ((_let_194 (ASSUME :args (_let_30)))) (let ((_let_195 (CONG _let_194 _let_191 :args _let_152))) (let ((_let_196 (TRANS _let_195 (CONG (TRANS (SYMM _let_194) _let_193) _let_191 :args _let_152) (SYMM (SYMM _let_190)) (CONG (TRANS (TRANS (SYMM _let_189) (CONG _let_167 _let_188 :args _let_152) (SYMM _let_179)) _let_177) _let_175 :args _let_152) (CONG (TRANS _let_178 (SYMM (SYMM _let_176))) _let_175 :args _let_152) (SYMM _let_174) (CONG _let_173 _let_164 :args _let_152)))) (let ((_let_197 (SYMM _let_195))) (let ((_let_198 (ASSUME :args (_let_84)))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (CONG _let_194 _let_164 :args _let_152))) (let ((_let_201 (ASSUME :args (_let_67)))) (let ((_let_202 (TRANS _let_180 (CONG _let_183 _let_181 :args _let_152) (SYMM _let_201)))) (let ((_let_203 (CONG (TRANS _let_188 _let_202) _let_200 :args _let_152))) (let ((_let_204 (TRANS _let_203 _let_199 _let_197))) (let ((_let_205 (TRANS _let_204 _let_196 _let_163))) (let ((_let_206 (ASSUME :args (_let_79)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (TRANS (TRANS _let_207 _let_197) (SYMM _let_204)))) (let ((_let_209 (CONG _let_208 _let_161 :args _let_152))) (let ((_let_210 (ASSUME :args (_let_113)))) (let ((_let_211 (SYMM (SYMM _let_210)))) (let ((_let_212 (REFL :args (_let_56)))) (let ((_let_213 (ASSUME :args (_let_58)))) (let ((_let_214 (SYMM (SYMM _let_213)))) (let ((_let_215 (ASSUME :args (_let_33)))) (let ((_let_216 (SYMM _let_215))) (let ((_let_217 (CONG (TRANS _let_216 _let_214) _let_212 :args _let_152))) (let ((_let_218 (ASSUME :args (_let_85)))) (let ((_let_219 (SYMM _let_218))) (let ((_let_220 (REFL :args (_let_16)))) (let ((_let_221 (CONG _let_216 _let_220 :args _let_152))) (let ((_let_222 (CONG (TRANS _let_157 _let_215) _let_220 :args _let_152))) (let ((_let_223 (TRANS (SYMM _let_222) (TRANS _let_222 _let_221 _let_219)))) (let ((_let_224 (CONG _let_223 (TRANS _let_217 _let_211 _let_209 (CONG _let_205 _let_161 :args _let_152) _let_160 _let_158 _let_154) :args _let_152))) (let ((_let_225 (ASSUME :args (_let_51)))) (let ((_let_226 (CONG (TRANS (SYMM _let_225) _let_214) _let_212 :args _let_152))) (let ((_let_227 (ASSUME :args (_let_103)))) (let ((_let_228 (SYMM (SYMM _let_227)))) (let ((_let_229 (ASSUME :args (_let_64)))) (let ((_let_230 (TRANS (SYMM (SYMM _let_229)) (CONG _let_225 _let_161 :args _let_152)))) (let ((_let_231 (CONG _let_191 _let_230 :args _let_152))) (let ((_let_232 (CONG (SYMM _let_223) (TRANS _let_231 _let_228 _let_226 (SYMM _let_217)) :args _let_152))) (let ((_let_233 (ASSUME :args (_let_107)))) (let ((_let_234 (SYMM _let_233))) (let ((_let_235 (ASSUME :args (_let_95)))) (let ((_let_236 (REFL :args (_let_40)))) (let ((_let_237 (SYMM _let_230))) (let ((_let_238 (CONG _let_212 _let_237 :args _let_152))) (let ((_let_239 (ASSUME :args (_let_105)))) (let ((_let_240 (ASSUME :args (_let_35)))) (let ((_let_241 (SYMM _let_240))) (let ((_let_242 (CONG (TRANS _let_241 _let_225) (SYMM _let_208) :args _let_152))) (let ((_let_243 (SYMM _let_205))) (let ((_let_244 (ASSUME :args (_let_108)))) (let ((_let_245 (ASSUME :args (_let_92)))) (let ((_let_246 (ASSUME :args (_let_60)))) (let ((_let_247 (TRANS _let_203 (CONG (TRANS (SYMM _let_202) (TRANS (SYMM (SYMM _let_246)) (CONG _let_161 _let_200 :args _let_152))) (REFL :args (_let_83)) :args _let_152) (SYMM (SYMM _let_245))))) (let ((_let_248 (CONG _let_200 _let_161 :args _let_152))) (let ((_let_249 (ASSUME :args (_let_106)))) (let ((_let_250 (SYMM _let_248))) (let ((_let_251 (ASSUME :args (_let_97)))) (let ((_let_252 (ASSUME :args (_let_112)))) (let ((_let_253 (ASSUME :args (_let_76)))) (let ((_let_254 (ASSUME :args (_let_115)))) (let ((_let_255 (ASSUME :args (_let_119)))) (let ((_let_256 (ASSUME :args (_let_111)))) (let ((_let_257 (ASSUME :args (_let_101)))) (let ((_let_258 (ASSUME :args (_let_42)))) 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_let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_28 tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_52 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_138)) :args _let_137)) _let_136 :args (_let_51 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_138)) :args _let_137)) _let_136 :args (_let_49 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_3 _let_1 QUANTIFIERS_INST_E_MATCHING _let_123)) :args _let_121)) _let_122 :args (_let_47 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_123)) :args _let_121)) _let_122 :args (_let_45 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_16 tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_128)) _let_129 :args (_let_42 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.a _let_25 tptp.b QUANTIFIERS_INST_E_MATCHING _let_134)) :args _let_133)) _let_132 :args (_let_39 false _let_131)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_37 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_35 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_33 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_2 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_31 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_3 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_128)) _let_129 :args (_let_30 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_2 tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_128)) _let_129 :args (_let_27 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_1 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_24 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.a tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_22 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_20 false _let_124)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_2 _let_1 QUANTIFIERS_INST_E_MATCHING _let_123)) :args _let_121)) _let_122 :args (_let_18 false _let_11)) (SYMM (ASSUME :args (_let_5))) :args (false false _let_120 false _let_119 false _let_117 false _let_116 false _let_115 false _let_114 false _let_113 false _let_112 false _let_111 false _let_110 false _let_108 false _let_107 false _let_106 false _let_105 false _let_104 false _let_103 false _let_101 false _let_99 false _let_97 false _let_95 false _let_92 false _let_89 false _let_87 false _let_86 false _let_85 false _let_84 false _let_82 false _let_79 false _let_76 false _let_75 false _let_73 false _let_71 false _let_69 false _let_67 false _let_66 false _let_65 false _let_64 false _let_63 false _let_62 false _let_60 false _let_58 false _let_55 false _let_54 false _let_52 false _let_51 false _let_49 false _let_47 false _let_45 false _let_42 false _let_39 false _let_37 false _let_35 false _let_33 false _let_31 false _let_30 false _let_27 false _let_24 false _let_22 false _let_20 false _let_18 true _let_15)) :args (_let_14 _let_13 _let_12 _let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)) _let_10 _let_9 (forall ((X $$unsorted)) (= (tptp.implies X tptp.truth) tptp.truth)) _let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.ifeq (tptp.implies X Y) (tptp.implies Y Z) (tptp.implies X Z) tptp.truth) tptp.truth)) _let_7 _let_6 (forall ((X $$unsorted)) (= (tptp.implies X (tptp.not tptp.truth)) (tptp.not X))) (forall ((X $$unsorted)) (= (tptp.not (tptp.not X)) X)) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X))) _let_5)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 7.12/7.31 )
% 7.12/7.32 % SZS output end Proof for LCL109-10
% 7.12/7.32 % cvc5---1.0.5 exiting
% 7.12/7.32 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------