TSTP Solution File: LCL153-1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : LCL153-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 07:00:53 EDT 2023
% Result : Unsatisfiable 1.09s 1.34s
% Output : Proof 1.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : LCL153-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n024.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 : Fri Aug 25 02:01:09 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.49 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.WnFDVG853o/cvc5---1.0.5_23183.p...
% 0.20/0.50 ------- get file name : TPTP file name is LCL153-1
% 0.20/0.50 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_23183.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.09/1.34 % SZS status Unsatisfiable for LCL153-1
% 1.09/1.34 % SZS output start Proof for LCL153-1
% 1.09/1.35 (
% 1.09/1.35 (let ((_let_1 (tptp.xor tptp.x tptp.truth))) (let ((_let_2 (tptp.not tptp.x))) (let ((_let_3 (= _let_2 _let_1))) (let ((_let_4 (not _let_3))) (let ((_let_5 (tptp.not tptp.truth))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X Y) (tptp.or (tptp.and X (tptp.not Y)) (tptp.and (tptp.not X) Y)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.and Y X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and X Y) (tptp.not (tptp.or (tptp.not X) (tptp.not Y))))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.or Y X))))) (let ((_let_10 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.or X Y) (tptp.implies (tptp.not X) Y))))) (let ((_let_11 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)) tptp.truth)))) (let ((_let_12 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.implies (tptp.implies X Y) Y) (tptp.implies (tptp.implies Y X) X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.implies (tptp.implies X Y) (tptp.implies (tptp.implies Y Z) (tptp.implies X Z))) tptp.truth)))) (let ((_let_14 (forall ((X $$unsorted)) (= (tptp.implies tptp.truth X) X)))) (let ((_let_15 (tptp.and _let_2 tptp.truth))) (let ((_let_16 (tptp.and tptp.x _let_5))) (let ((_let_17 (tptp.or _let_16 _let_15))) (let ((_let_18 (= _let_1 _let_17))) (let ((_let_19 (tptp.not _let_16))) (let ((_let_20 (= _let_17 (tptp.implies _let_19 _let_15)))) (let ((_let_21 (tptp.not _let_5))) (let ((_let_22 (tptp.or _let_2 _let_21))) (let ((_let_23 (tptp.not _let_22))) (let ((_let_24 (= _let_16 _let_23))) (let ((_let_25 (tptp.not _let_2))) (let ((_let_26 (tptp.or _let_25 _let_5))) (let ((_let_27 (tptp.not _let_26))) (let ((_let_28 (= _let_15 _let_27))) (let ((_let_29 (tptp.implies _let_25 _let_21))) (let ((_let_30 (= _let_22 _let_29))) (let ((_let_31 (tptp.not _let_25))) (let ((_let_32 (tptp.implies _let_31 _let_5))) (let ((_let_33 (= _let_26 _let_32))) (let ((_let_34 (tptp.or _let_21 _let_2))) (let ((_let_35 (= _let_22 _let_34))) (let ((_let_36 (tptp.or _let_5 _let_25))) (let ((_let_37 (= _let_26 _let_36))) (let ((_let_38 (tptp.implies tptp.truth _let_25))) (let ((_let_39 (= tptp.truth (tptp.implies _let_32 _let_38)))) (let ((_let_40 (tptp.implies _let_21 _let_25))) (let ((_let_41 (= _let_36 _let_40))) (let ((_let_42 (tptp.not _let_21))) (let ((_let_43 (= _let_34 (tptp.implies _let_42 _let_2)))) (let ((_let_44 (tptp.implies tptp.truth tptp.truth))) (let ((_let_45 (= tptp.truth _let_44))) (let ((_let_46 (= _let_25 _let_38))) (let ((_let_47 (tptp.implies tptp.truth _let_21))) (let ((_let_48 (= tptp.truth (tptp.implies _let_47 (tptp.implies _let_40 _let_38))))) (let ((_let_49 (tptp.or tptp.x _let_2))) (let ((_let_50 (= (tptp.implies _let_2 _let_2) _let_49))) (let ((_let_51 (tptp.or _let_5 _let_21))) (let ((_let_52 (= (tptp.implies _let_21 _let_21) _let_51))) (let ((_let_53 (tptp.or _let_2 _let_25))) (let ((_let_54 (= (tptp.implies _let_25 _let_25) _let_53))) (let ((_let_55 (= (tptp.and tptp.truth _let_5) (tptp.not _let_51)))) (let ((_let_56 (tptp.and tptp.x _let_2))) (let ((_let_57 (= _let_56 (tptp.not _let_53)))) (let ((_let_58 (tptp.or _let_25 _let_2))) (let ((_let_59 (tptp.and _let_2 tptp.x))) (let ((_let_60 (= _let_59 (tptp.not _let_58)))) (let ((_let_61 (= _let_56 _let_59))) (let ((_let_62 (= tptp.x (tptp.implies tptp.truth tptp.x)))) (let ((_let_63 (= _let_21 _let_47))) (let ((_let_64 (tptp.implies _let_38 _let_38))) (let ((_let_65 (= tptp.truth (tptp.implies _let_44 _let_64)))) (let ((_let_66 (= (tptp.implies (tptp.implies _let_21 _let_38) _let_38) (tptp.implies (tptp.implies _let_38 _let_21) _let_21)))) (let ((_let_67 (= tptp.truth (tptp.implies (tptp.implies _let_25 _let_23) (tptp.implies _let_22 _let_2))))) (let ((_let_68 (tptp.implies _let_42 _let_5))) (let ((_let_69 (tptp.or _let_21 _let_5))) (let ((_let_70 (= _let_69 _let_68))) (let ((_let_71 (tptp.implies _let_31 _let_2))) (let ((_let_72 (= _let_58 _let_71))) (let ((_let_73 (= (tptp.implies _let_19 _let_2) (tptp.or _let_16 _let_2)))) (let ((_let_74 (= _let_51 _let_69))) (let ((_let_75 (tptp.or _let_2 tptp.x))) (let ((_let_76 (= _let_49 _let_75))) (let ((_let_77 (= _let_53 _let_58))) (let ((_let_78 (tptp.and _let_22 tptp.x))) (let ((_let_79 (= _let_78 (tptp.not (tptp.or _let_23 _let_2))))) (let ((_let_80 (= _let_78 (tptp.and tptp.x _let_22)))) (let ((_let_81 (= _let_64 (tptp.implies tptp.truth _let_64)))) (let ((_let_82 (= tptp.truth (tptp.implies _let_38 (tptp.implies _let_29 _let_47))))) (let ((_let_83 (= (tptp.implies _let_47 _let_21) (tptp.implies (tptp.implies _let_21 tptp.truth) tptp.truth)))) (let ((_let_84 (= tptp.truth (tptp.implies _let_68 _let_47)))) (let ((_let_85 (tptp.implies tptp.x _let_25))) (let ((_let_86 (= tptp.truth (tptp.implies _let_71 _let_85)))) (let ((_let_87 (tptp.implies _let_25 tptp.x))) (let ((_let_88 (= _let_75 _let_87))) (let ((_let_89 (tptp.or _let_2 _let_42))) (let ((_let_90 (= _let_89 (tptp.implies _let_25 _let_42)))) (let ((_let_91 (= _let_89 (tptp.or _let_42 _let_2)))) (let ((_let_92 (= _let_2 (tptp.implies tptp.truth _let_2)))) (let ((_let_93 (= _let_15 (tptp.implies tptp.truth _let_15)))) (let ((_let_94 (= _let_85 (tptp.implies tptp.truth _let_85)))) (let ((_let_95 (= (tptp.implies _let_85 _let_25) (tptp.implies _let_87 tptp.x)))) (let ((_let_96 (_let_6))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (_let_10))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 ((tptp.or X Y)))) (let ((_let_101 (_let_8))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 ((tptp.and X Y)))) (let ((_let_104 (_let_9))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 ((tptp.or X Y)))) (let ((_let_107 (forall ((X $$unsorted) (Y $$unsorted)) (= tptp.truth (tptp.implies (tptp.implies (tptp.not X) (tptp.not Y)) (tptp.implies Y X)))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_107))) (let ((_let_110 (tptp.not Y))) (let ((_let_111 (tptp.not X))) (let ((_let_112 ((tptp.implies _let_111 _let_110)))) (let ((_let_113 (forall ((X $$unsorted)) (= X (tptp.implies tptp.truth X))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 ((tptp.implies tptp.truth X)))) (let ((_let_117 (forall ((X $$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_118 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((tptp.implies (tptp.implies Y Z) (tptp.implies X Z))))) (let ((_let_121 ((tptp.implies (tptp.not X) Y)))) (let ((_let_122 (_let_7))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 ((tptp.and X Y)))) (let ((_let_125 (_let_12))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 ((tptp.implies (tptp.implies X Y) Y)))) (let ((_let_128 (and _let_18 _let_20 _let_24 _let_28 _let_30 _let_33 _let_35 _let_37 _let_39 _let_41 _let_43 _let_45 _let_46 _let_48 _let_50 _let_52 _let_54 _let_55 _let_57 _let_60 _let_61 _let_62 _let_63 _let_65 _let_66 _let_67 _let_70 _let_72 _let_73 _let_74 _let_76 _let_77 _let_79 _let_80 _let_81 _let_82 _let_83 _let_84 _let_86 _let_88 _let_90 _let_91 _let_92 _let_93 _let_94 _let_95))) (let ((_let_129 (ASSUME :args (_let_18)))) (let ((_let_130 (ASSUME :args (_let_20)))) (let ((_let_131 (APPLY_UF tptp.implies))) (let ((_let_132 (ASSUME :args (_let_28)))) (let ((_let_133 (SYMM _let_132))) (let ((_let_134 (APPLY_UF tptp.not))) (let ((_let_135 (ASSUME :args (_let_24)))) (let ((_let_136 (SYMM _let_135))) (let ((_let_137 (CONG _let_136 :args _let_134))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (ASSUME :args (_let_30)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (REFL :args (_let_21)))) (let ((_let_142 (ASSUME :args (_let_46)))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (CONG _let_143 _let_141 :args _let_131))) (let ((_let_145 (ASSUME :args (_let_63)))) (let ((_let_146 (SYMM _let_145))) (let ((_let_147 (ASSUME :args (_let_45)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (ASSUME :args (_let_48)))) (let ((_let_150 (REFL :args (_let_38)))) (let ((_let_151 (ASSUME :args (_let_41)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (ASSUME :args (_let_37)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (ASSUME :args (_let_33)))) (let ((_let_156 (CONG (TRANS (SYMM _let_155) (TRANS (SYMM _let_154) (SYMM _let_152))) _let_150 :args _let_131))) (let ((_let_157 (ASSUME :args (_let_39)))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (CONG (TRANS (CONG _let_145 (TRANS (SYMM _let_158) _let_156) :args _let_131) (SYMM _let_149)) (REFL :args (tptp.truth)) :args _let_131))) (let ((_let_160 (ASSUME :args (_let_83)))) (let ((_let_161 (SYMM (SYMM _let_160)))) (let ((_let_162 (CONG _let_145 _let_141 :args _let_131))) (let ((_let_163 (ASSUME :args (_let_52)))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (ASSUME :args (_let_74)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (ASSUME :args (_let_70)))) (let ((_let_168 (CONG (TRANS (TRANS (SYMM _let_167) _let_166 _let_164) (TRANS _let_162 _let_161 _let_159 _let_148)) _let_146 :args _let_131))) (let ((_let_169 (ASSUME :args (_let_84)))) (let ((_let_170 (SYMM _let_169))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (TRANS _let_171 _let_168 _let_146))) (let ((_let_173 (CONG _let_142 _let_172 :args _let_131))) (let ((_let_174 (ASSUME :args (_let_66)))) (let ((_let_175 (CONG _let_143 (TRANS (CONG (SYMM _let_144) _let_146 :args _let_131) (SYMM _let_174) (CONG (CONG _let_141 _let_143 :args _let_131) _let_150 :args _let_131) (SYMM _let_156) _let_158) :args _let_131))) (let ((_let_176 (ASSUME :args (_let_82)))) (let ((_let_177 (SYMM (SYMM _let_176)))) (let ((_let_178 (TRANS _let_177 _let_175 _let_173 _let_144 _let_140))) (let ((_let_179 (CONG _let_178 :args _let_134))) (let ((_let_180 (APPLY_UF tptp.or))) (let ((_let_181 (ASSUME :args (_let_65)))) (let ((_let_182 (CONG _let_147 (REFL :args (_let_64)) :args _let_131))) (let ((_let_183 (ASSUME :args (_let_81)))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (CONG _let_142 _let_142 :args _let_131))) (let ((_let_186 (ASSUME :args (_let_54)))) (let ((_let_187 (ASSUME :args (_let_77)))) (let ((_let_188 (CONG (TRANS (SYMM _let_187) (SYMM _let_186) _let_185 (SYMM _let_184) _let_182 (SYMM _let_181)) :args _let_134))) (let ((_let_189 (ASSUME :args (_let_60)))) (let ((_let_190 (SYMM (SYMM _let_189)))) (let ((_let_191 (ASSUME :args (_let_61)))) (let ((_let_192 (SYMM (SYMM _let_191)))) (let ((_let_193 (ASSUME :args (_let_57)))) (let ((_let_194 (SYMM _let_193))) (let ((_let_195 (CONG (TRANS _let_192 _let_190 _let_188) :args _let_134))) (let ((_let_196 (CONG (TRANS (CONG _let_194 :args _let_134) _let_195) (TRANS _let_194 _let_192 _let_190 _let_188) :args _let_180))) (let ((_let_197 (CONG (TRANS _let_196 _let_166 _let_164 _let_162 _let_161 _let_159 _let_148) :args _let_134))) (let ((_let_198 (CONG (TRANS _let_165 (SYMM _let_196)) :args _let_134))) (let ((_let_199 (ASSUME :args (_let_55)))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (TRANS _let_171 _let_168 _let_146 (SYMM _let_195) (CONG (TRANS _let_192 _let_190 _let_188 (SYMM _let_197) (SYMM _let_198) _let_200) :args _let_134) (CONG (TRANS (SYMM _let_200) _let_198 _let_197 _let_179 _let_136) :args _let_134) _let_138))) (let ((_let_202 (SYMM _let_172))) (let ((_let_203 (TRANS _let_202 _let_201 _let_137))) (let ((_let_204 (ASSUME :args (_let_93)))) (let ((_let_205 (REFL :args (_let_25)))) (let ((_let_206 (ASSUME :args (_let_92)))) (let ((_let_207 (REFL :args (_let_2)))) (let ((_let_208 (CONG (SYMM _let_203) _let_207 :args _let_131))) (let ((_let_209 (ASSUME :args (_let_73)))) (let ((_let_210 (CONG _let_136 _let_207 :args _let_180))) (let ((_let_211 (TRANS _let_210 (SYMM _let_209) _let_208 (CONG _let_202 _let_207 :args _let_131) (SYMM _let_206)))) (let ((_let_212 (CONG _let_211 :args _let_134))) (let ((_let_213 (ASSUME :args (_let_79)))) (let ((_let_214 (SYMM _let_213))) (let ((_let_215 (ASSUME :args (_let_80)))) (let ((_let_216 (REFL :args (tptp.x)))) (let ((_let_217 (CONG _let_216 (TRANS _let_145 (SYMM _let_168) _let_170 _let_177 _let_175 _let_173 _let_144 _let_140) :args (APPLY_UF tptp.and)))) (let ((_let_218 (ASSUME :args (_let_86)))) (let ((_let_219 (REFL :args (_let_85)))) (let ((_let_220 (ASSUME :args (_let_72)))) (let ((_let_221 (ASSUME :args (_let_94)))) (let ((_let_222 (ASSUME :args (_let_95)))) (let ((_let_223 (ASSUME :args (_let_88)))) (let ((_let_224 (ASSUME :args (_let_76)))) (let ((_let_225 (ASSUME :args (_let_50)))) (let ((_let_226 (CONG _let_179 _let_207 :args _let_180))) (let ((_let_227 (CONG _let_202 :args _let_134))) (let ((_let_228 (CONG _let_227 _let_207 :args _let_180))) (let ((_let_229 (ASSUME :args (_let_91)))) (let ((_let_230 (SYMM _let_229))) (let ((_let_231 (TRANS (SYMM _let_230) _let_228 _let_226))) (let ((_let_232 (ASSUME :args (_let_35)))) (let ((_let_233 (ASSUME :args (_let_43)))) (let ((_let_234 (TRANS (SYMM _let_233) (SYMM _let_232) _let_139))) (let ((_let_235 (ASSUME :args (_let_90)))) (let ((_let_236 (ASSUME :args (_let_67)))) (let ((_let_237 (ASSUME :args (_let_62)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_129 _let_130 _let_132 _let_135 _let_139 _let_142 _let_145 _let_147 _let_149 _let_151 _let_153 _let_155 _let_157 _let_160 _let_163 _let_165 _let_167 _let_169 _let_174 _let_176 _let_181 _let_183 _let_186 _let_187 _let_189 _let_191 _let_193 _let_199 _let_204 _let_206 _let_209 _let_213 _let_215 _let_218 _let_220 _let_221 _let_222 _let_223 _let_224 _let_225 _let_229 _let_235 _let_232 _let_233 _let_236 _let_237) (SCOPE (TRANS (CONG (TRANS (SYMM (SYMM _let_237)) (CONG (TRANS (TRANS (SYMM (SYMM _let_236)) (CONG (SYMM (TRANS _let_235 (SYMM (CONG _let_205 (TRANS (SYMM _let_179) (SYMM _let_227)) :args _let_131)))) (TRANS (CONG (TRANS _let_139 (SYMM _let_234)) _let_207 :args _let_131) (CONG (TRANS _let_234 _let_140 (SYMM _let_178) _let_172) _let_207 :args _let_131) (SYMM _let_208) _let_209 (SYMM _let_210) (SYMM _let_226) (SYMM _let_228) _let_230) :args _let_131) (CONG _let_231 _let_231 :args _let_131) (CONG _let_211 _let_211 :args _let_131)) (TRANS (SYMM (SYMM _let_225)) (SYMM (SYMM _let_224)) (SYMM (SYMM _let_223)))) _let_216 :args _let_131) (SYMM _let_222) (CONG _let_219 _let_142 :args _let_131) (CONG (TRANS (TRANS (SYMM (SYMM _let_221)) (CONG (TRANS (TRANS _let_181 (SYMM _let_182) _let_184 (SYMM _let_185)) (TRANS _let_186 _let_187 (SYMM (SYMM _let_220)))) _let_219 :args _let_131) (SYMM _let_218)) _let_201 _let_137) _let_143 :args _let_131) (CONG (TRANS _let_138 (SYMM _let_201)) _let_205 :args _let_131) _let_143 (SYMM _let_212) _let_214 _let_215 (SYMM _let_217)) :args _let_134) (CONG (TRANS _let_217 (SYMM _let_215) (SYMM _let_214) _let_212) :args _let_134) (CONG (TRANS _let_142 (CONG _let_172 _let_205 :args _let_131) _let_152 _let_154) :args _let_134) _let_133 (SYMM (SYMM _let_204)) (CONG _let_172 _let_132 :args _let_131) (CONG _let_203 (REFL :args (_let_27)) :args _let_131) (CONG (REFL :args (_let_19)) _let_133 :args _let_131) (SYMM _let_130) (SYMM _let_129)) :args (_let_18 _let_20 _let_28 _let_24 _let_30 _let_46 _let_63 _let_45 _let_48 _let_41 _let_37 _let_33 _let_39 _let_83 _let_52 _let_74 _let_70 _let_84 _let_66 _let_82 _let_65 _let_81 _let_54 _let_77 _let_60 _let_61 _let_57 _let_55 _let_93 _let_92 _let_73 _let_79 _let_80 _let_86 _let_72 _let_94 _let_95 _let_88 _let_76 _let_50 _let_91 _let_90 _let_35 _let_43 _let_67 _let_62))) :args (_let_18 _let_20 _let_24 _let_28 _let_30 _let_33 _let_35 _let_37 _let_39 _let_41 _let_43 _let_45 _let_46 _let_48 _let_50 _let_52 _let_54 _let_55 _let_57 _let_60 _let_61 _let_62 _let_63 _let_65 _let_66 _let_67 _let_70 _let_72 _let_73 _let_74 _let_76 _let_77 _let_79 _let_80 _let_81 _let_82 _let_83 _let_84 _let_86 _let_88 _let_90 _let_91 _let_92 _let_93 _let_94 _let_95))) :args (true _let_128)) :args ((or _let_3 (not _let_18) (not _let_20) (not _let_24) (not _let_28) (not _let_30) (not _let_33) (not _let_35) (not _let_37) (not _let_39) (not _let_41) (not _let_43) (not _let_45) (not _let_46) (not _let_48) (not _let_50) (not _let_52) (not _let_54) (not _let_55) (not _let_57) (not _let_60) (not _let_61) (not _let_62) (not _let_63) (not _let_65) (not _let_66) (not _let_67) (not _let_70) (not _let_72) (not _let_73) (not _let_74) (not _let_76) (not _let_77) (not _let_79) (not _let_80) (not _let_81) (not _let_82) (not _let_83) (not _let_84) (not _let_86) (not _let_88) (not _let_90) (not _let_91) (not _let_92) (not _let_93) (not _let_94) (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.x 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_let_98)) _let_99 :args (_let_90 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_2 tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_88 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_25 tptp.x QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_109)) _let_108 :args (_let_86 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_21 tptp.truth QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_109)) _let_108 :args (_let_84 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (tptp.truth _let_21 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_83 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.truth _let_25 _let_21 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_119)) _let_118 :args (_let_82 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_64 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_81 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_22 tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_122)) _let_123 :args (_let_80 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_22 tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_79 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_2 _let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_77 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.x _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_76 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE 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(_let_21 _let_38 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_66 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.truth tptp.truth _let_25 QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_119)) _let_118 :args (_let_65 false _let_117)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_63 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_62 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.x _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_124)) :args _let_122)) _let_123 :args (_let_61 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_2 tptp.x QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_60 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.x _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_57 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.truth _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_55 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_2 _let_25 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_98))) _let_99 :args (_let_54 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_5 _let_21 QUANTIFIERS_INST_E_MATCHING _let_121)) :args _let_98))) _let_99 :args (_let_52 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.x _let_2 QUANTIFIERS_INST_E_MATCHING 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(_let_41 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_25 tptp.truth QUANTIFIERS_INST_E_MATCHING _let_112)) :args _let_109)) _let_108 :args (_let_39 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_25 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_37 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_2 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_104)) _let_105 :args (_let_35 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_25 _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_33 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_2 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_30 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_2 tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_28 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.x _let_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_24 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_20 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.x tptp.truth QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.xor X Y)))) :args _let_96)) _let_97 :args (_let_18 false _let_6)) (ASSUME :args (_let_4)) :args (false false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_90 false _let_88 false _let_86 false _let_84 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_77 false _let_76 false _let_74 false _let_73 false _let_72 false _let_70 false _let_67 false _let_66 false _let_65 false _let_63 false _let_62 false _let_61 false _let_60 false _let_57 false _let_55 false _let_54 false _let_52 false _let_50 false _let_48 false _let_46 false _let_45 false _let_43 false _let_41 false _let_39 false _let_37 false _let_35 false _let_33 false _let_30 false _let_28 false _let_24 false _let_20 false _let_18 true _let_3)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.or (tptp.or X Y) Z) (tptp.or X (tptp.or Y Z)))) _let_9 _let_8 (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and (tptp.and X Y) Z) (tptp.and X (tptp.and Y Z)))) _let_7 _let_6 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.xor X Y) (tptp.xor Y X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star X Y) (tptp.not (tptp.or (tptp.not X) (tptp.not Y))))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (= (tptp.and_star (tptp.and_star X Y) Z) (tptp.and_star X (tptp.and_star Y Z)))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.and_star X Y) (tptp.and_star Y X))) (= _let_5 tptp.falsehood) _let_4))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.09/1.35 )
% 1.09/1.35 % SZS output end Proof for LCL153-1
% 1.09/1.36 % cvc5---1.0.5 exiting
% 1.09/1.36 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------