TSTP Solution File: KLE060+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n016.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 05:27:07 EDT 2023
% Result : Theorem 11.48s 11.66s
% Output : Proof 11.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE060+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n016.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 11:33:16 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 11.48/11.66 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.n0aillwoMS/cvc5---1.0.5_13945.p...
% 11.48/11.66 ------- get file name : TPTP file name is KLE060+1
% 11.48/11.66 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_13945.smt2...
% 11.48/11.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.48/11.66 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.48/11.66 % SZS status Theorem for KLE060+1
% 11.48/11.66 % SZS output start Proof for KLE060+1
% 11.48/11.66 (
% 11.48/11.66 (let ((_let_1 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (= (tptp.domain (tptp.multiplication _let_1 X1)) (tptp.multiplication _let_1 (tptp.domain X1))))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.addition X0 X1)) (tptp.addition (tptp.domain X0) (tptp.domain X1)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.addition (tptp.domain X0) tptp.one) tptp.one)))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.domain (tptp.multiplication X0 X1)) (tptp.domain (tptp.multiplication X0 (tptp.domain X1))))))) (let ((_let_6 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= (tptp.addition X0 _let_1) _let_1))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_14 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.multiplication _let_15 _let_14))) (let ((_let_17 (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.domain _let_17))) (let ((_let_19 (tptp.multiplication _let_18 _let_16))) (let ((_let_20 (tptp.multiplication _let_15 _let_15))) (let ((_let_21 (tptp.addition _let_20 _let_16))) (let ((_let_22 (= (tptp.multiplication _let_18 _let_21) (tptp.addition (tptp.multiplication _let_18 _let_20) _let_19)))) (let ((_let_23 (_let_8))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 (tptp.multiplication _let_15 _let_18))) (let ((_let_26 (= (tptp.multiplication _let_15 (tptp.addition _let_18 _let_14)) (tptp.addition _let_25 _let_16)))) (let ((_let_27 (tptp.multiplication _let_18 tptp.one))) (let ((_let_28 (tptp.multiplication _let_18 _let_15))) (let ((_let_29 (tptp.addition _let_15 tptp.one))) (let ((_let_30 (= (tptp.multiplication _let_18 _let_29) (tptp.addition _let_28 _let_27)))) (let ((_let_31 (tptp.multiplication tptp.one _let_18))) (let ((_let_32 (= (tptp.multiplication _let_29 _let_18) (tptp.addition _let_25 _let_31)))) (let ((_let_33 (tptp.multiplication _let_18 _let_18))) (let ((_let_34 (tptp.addition _let_15 _let_18))) (let ((_let_35 (= (tptp.multiplication _let_18 _let_34) (tptp.addition _let_28 _let_33)))) (let ((_let_36 (= (tptp.multiplication _let_34 _let_18) (tptp.addition _let_25 _let_33)))) (let ((_let_37 (tptp.domain _let_18))) (let ((_let_38 (tptp.multiplication _let_37 _let_18))) (let ((_let_39 (tptp.domain tptp.one))) (let ((_let_40 (= (tptp.multiplication (tptp.addition _let_39 _let_37) _let_18) (tptp.addition (tptp.multiplication _let_39 _let_18) _let_38)))) (let ((_let_41 (tptp.addition _let_18 tptp.one))) (let ((_let_42 (= _let_41 (tptp.addition tptp.one _let_18)))) (let ((_let_43 (tptp.multiplication _let_15 _let_16))) (let ((_let_44 (= (tptp.multiplication _let_34 _let_16) (tptp.addition _let_43 _let_19)))) (let ((_let_45 (tptp.domain _let_16))) (let ((_let_46 (= (tptp.domain _let_21) (tptp.addition (tptp.domain _let_20) _let_45)))) (let ((_let_47 (tptp.multiplication _let_14 _let_14))) (let ((_let_48 (= (tptp.domain (tptp.addition _let_16 _let_47)) (tptp.addition _let_45 (tptp.domain _let_47))))) (let ((_let_49 (tptp.multiplication tptp.one _let_14))) (let ((_let_50 (= (tptp.multiplication _let_29 _let_14) (tptp.addition _let_16 _let_49)))) (let ((_let_51 (tptp.domain _let_14))) (let ((_let_52 (tptp.multiplication _let_15 _let_51))) (let ((_let_53 (tptp.multiplication (tptp.domain _let_52) _let_52))) (let ((_let_54 (= _let_53 (tptp.addition _let_52 _let_53)))) (let ((_let_55 (= _let_43 (tptp.multiplication _let_20 _let_14)))) (let ((_let_56 (tptp.multiplication _let_15 _let_39))) (let ((_let_57 (tptp.addition _let_39 _let_51))) (let ((_let_58 (= (tptp.multiplication _let_15 _let_57) (tptp.addition _let_56 _let_52)))) (let ((_let_59 (tptp.multiplication _let_51 _let_14))) (let ((_let_60 (= (tptp.multiplication _let_57 _let_14) (tptp.addition (tptp.multiplication _let_39 _let_14) _let_59)))) (let ((_let_61 (tptp.addition _let_14 tptp.one))) (let ((_let_62 (= _let_61 (tptp.addition tptp.one _let_14)))) (let ((_let_63 (tptp.domain _let_15))) (let ((_let_64 (= (tptp.multiplication _let_15 (tptp.addition _let_39 _let_63)) (tptp.addition _let_56 (tptp.multiplication _let_15 _let_63))))) (let ((_let_65 (= _let_18 _let_45))) (let ((_let_66 (= _let_29 (tptp.addition tptp.one _let_15)))) (let ((_let_67 (tptp.addition _let_39 tptp.one))) (let ((_let_68 (= _let_67 (tptp.addition tptp.one _let_39)))) (let ((_let_69 (tptp.multiplication _let_39 tptp.one))) (let ((_let_70 (= _let_39 _let_69))) (let ((_let_71 (= tptp.one _let_67))) (let ((_let_72 (= _let_69 (tptp.addition tptp.one _let_69)))) (let ((_let_73 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_74 (= (tptp.domain _let_73) (tptp.domain _let_49)))) (let ((_let_75 (= _let_59 (tptp.addition _let_14 _let_59)))) (let ((_let_76 (= _let_14 _let_49))) (let ((_let_77 (tptp.multiplication tptp.one _let_17))) (let ((_let_78 (= (tptp.domain _let_77) (tptp.domain _let_31)))) (let ((_let_79 (= _let_38 (tptp.addition _let_18 _let_38)))) (let ((_let_80 (= _let_18 _let_31))) (let ((_let_81 (= _let_18 _let_27))) (let ((_let_82 (= tptp.one _let_41))) (let ((_let_83 (= _let_17 _let_77))) (let ((_let_84 (tptp.addition _let_17 tptp.zero))) (let ((_let_85 (= _let_17 _let_84))) (let ((_let_86 (= (tptp.addition tptp.zero _let_17) _let_84))) (let ((_let_87 (tptp.multiplication tptp.one _let_15))) (let ((_let_88 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_89 (= (tptp.domain _let_88) (tptp.domain _let_87)))) (let ((_let_90 (tptp.multiplication _let_63 _let_15))) (let ((_let_91 (= _let_90 (tptp.addition _let_15 _let_90)))) (let ((_let_92 (= _let_15 _let_87))) (let ((_let_93 (= _let_15 (tptp.multiplication _let_15 tptp.one)))) (let ((_let_94 (= tptp.one _let_61))) (let ((_let_95 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_73))) (let ((_let_96 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_97 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_96))) (let ((_let_98 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_96))) (let ((_let_99 (= tptp.one _let_29))) (let ((_let_100 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_88))) (let ((_let_101 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_102 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_101))) (let ((_let_103 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_101))) (let ((_let_104 (= _let_18 _let_16))) (let ((_let_105 (not _let_22))) (let ((_let_106 (_let_7))) (let ((_let_107 (ASSUME :args _let_106))) (let ((_let_108 (_let_13))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (_let_3))) (let ((_let_111 (ASSUME :args _let_110))) (let ((_let_112 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 (_let_11))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (_let_5))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_119))) (let ((_let_122 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (_let_122))) (let ((_let_125 (tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_126 (_let_14 QUANTIFIERS_INST_ENUM))) (let ((_let_127 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (_let_127))) (let ((_let_130 (_let_18 QUANTIFIERS_INST_ENUM))) (let ((_let_131 (_let_17 QUANTIFIERS_INST_ENUM))) (let ((_let_132 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (_let_132))) (let ((_let_135 (_let_15 QUANTIFIERS_INST_ENUM))) (let ((_let_136 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_137 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_138 (not _let_104))) (let ((_let_139 (_let_2))) (let ((_let_140 (ASSUME :args _let_139))) (let ((_let_141 (or))) (let ((_let_142 (_let_138))) (let ((_let_143 (and _let_138 _let_103 _let_102 _let_100 _let_99 _let_98 _let_97 _let_95 _let_94 _let_93 _let_92 _let_91 _let_89 _let_86 _let_85 _let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_76 _let_75 _let_74 _let_72 _let_71 _let_70 _let_68 _let_66 _let_65 _let_64 _let_62 _let_60 _let_58 _let_55 _let_54 _let_50 _let_48 _let_46 _let_44 _let_42 _let_40 _let_36 _let_35 _let_32 _let_30 _let_26))) (let ((_let_144 (ASSUME :args _let_142))) (let ((_let_145 (APPLY_UF tptp.multiplication))) (let ((_let_146 (APPLY_UF tptp.domain))) (let ((_let_147 (ASSUME :args (_let_97)))) (let ((_let_148 (ASSUME :args (_let_98)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (CONG (TRANS (SYMM _let_149) (SYMM _let_147)) :args _let_146))) (let ((_let_151 (ASSUME :args (_let_95)))) (let ((_let_152 (CONG (TRANS (SYMM _let_151) _let_147 _let_149) :args _let_146))) (let ((_let_153 (ASSUME :args (_let_74)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (ASSUME :args (_let_76)))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (CONG _let_157 :args _let_146))) (let ((_let_159 (REFL :args (_let_14)))) (let ((_let_160 (ASSUME :args (_let_99)))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (ASSUME :args (_let_50)))) (let ((_let_163 (APPLY_UF tptp.addition))) (let ((_let_164 (TRANS _let_158 _let_154 _let_152 _let_150))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (ASSUME :args (_let_71)))) (let ((_let_167 (ASSUME :args (_let_68)))) (let ((_let_168 (ASSUME :args (_let_70)))) (let ((_let_169 (ASSUME :args (_let_72)))) (let ((_let_170 (TRANS _let_168 (SYMM (SYMM _let_169)) (CONG (REFL :args (tptp.one)) (SYMM _let_168) :args _let_163) (SYMM _let_167) (SYMM _let_166)))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (ASSUME :args (_let_62)))) (let ((_let_173 (ASSUME :args (_let_94)))) (let ((_let_174 (TRANS (SYMM (SYMM _let_173)) (SYMM (SYMM _let_172)) (CONG _let_171 _let_165 :args _let_163)))) (let ((_let_175 (CONG (SYMM _let_174) _let_159 :args _let_145))) (let ((_let_176 (ASSUME :args (_let_60)))) (let ((_let_177 (CONG (TRANS _let_157 (CONG _let_171 _let_159 :args _let_145)) (REFL :args (_let_59)) :args _let_163))) (let ((_let_178 (ASSUME :args (_let_75)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (CONG _let_165 _let_159 :args _let_145))) (let ((_let_181 (REFL :args (_let_16)))) (let ((_let_182 (ASSUME :args (_let_48)))) (let ((_let_183 (ASSUME :args (_let_65)))) (let ((_let_184 (ASSUME :args (_let_85)))) (let ((_let_185 (ASSUME :args (_let_86)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (ASSUME :args (_let_83)))) (let ((_let_188 (ASSUME :args (_let_78)))) (let ((_let_189 (ASSUME :args (_let_80)))) (let ((_let_190 (TRANS (CONG _let_189 :args _let_146) (SYMM _let_188) (CONG (TRANS (SYMM _let_187) _let_184 _let_186) :args _let_146) (CONG (TRANS (SYMM _let_186) (SYMM _let_184)) :args _let_146)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (REFL :args (_let_15)))) (let ((_let_193 (ASSUME :args (_let_26)))) (let ((_let_194 (ASSUME :args (_let_93)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (ASSUME :args (_let_66)))) (let ((_let_197 (ASSUME :args (_let_102)))) (let ((_let_198 (ASSUME :args (_let_103)))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (CONG (TRANS (SYMM _let_199) (SYMM _let_197)) :args _let_146))) (let ((_let_201 (ASSUME :args (_let_100)))) (let ((_let_202 (CONG (TRANS (SYMM _let_201) _let_197 _let_199) :args _let_146))) (let ((_let_203 (ASSUME :args (_let_89)))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (ASSUME :args (_let_92)))) (let ((_let_206 (CONG (SYMM (SYMM _let_205)) :args _let_146))) (let ((_let_207 (TRANS _let_206 _let_204 _let_202 _let_200))) (let ((_let_208 (CONG _let_192 (TRANS (CONG _let_170 _let_207 :args _let_163) (SYMM _let_196) _let_161) :args _let_145))) (let ((_let_209 (ASSUME :args (_let_64)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (SYMM _let_207))) (let ((_let_212 (TRANS _let_194 (CONG _let_192 _let_171 :args _let_145)))) (let ((_let_213 (CONG _let_212 (CONG _let_207 _let_211 :args _let_145) :args _let_163))) (let ((_let_214 (ASSUME :args (_let_91)))) (let ((_let_215 (SYMM (SYMM _let_214)))) (let ((_let_216 (CONG _let_211 _let_192 :args _let_145))) (let ((_let_217 (TRANS _let_216 _let_215 _let_213 _let_210 _let_208 _let_195))) (let ((_let_218 (CONG _let_217 _let_159 :args _let_145))) (let ((_let_219 (ASSUME :args (_let_55)))) (let ((_let_220 (SYMM _let_219))) (let ((_let_221 (CONG _let_192 _let_164 :args _let_145))) (let ((_let_222 (CONG (TRANS (SYMM _let_212) (SYMM _let_217)) _let_221 :args _let_163))) (let ((_let_223 (ASSUME :args (_let_58)))) (let ((_let_224 (SYMM _let_223))) (let ((_let_225 (CONG _let_192 _let_174 :args _let_145))) (let ((_let_226 (CONG (TRANS _let_194 _let_225 (SYMM _let_224) _let_222) :args _let_146))) (let ((_let_227 (ASSUME :args (_let_46)))) (let ((_let_228 (SYMM _let_227))) (let ((_let_229 (SYMM _let_183))) (let ((_let_230 (CONG (TRANS (CONG _let_217 :args _let_146) _let_206 _let_204 _let_202 _let_200) _let_229 :args _let_163))) (let ((_let_231 (TRANS (SYMM _let_230) _let_228 (SYMM _let_226) _let_206 _let_204 _let_202 _let_200))) (let ((_let_232 (ASSUME :args (_let_44)))) (let ((_let_233 (CONG (TRANS (CONG _let_221 :args _let_146) _let_229) _let_221 :args _let_145))) (let ((_let_234 (ASSUME :args (_let_54)))) (let ((_let_235 (ASSUME :args (_let_36)))) (let ((_let_236 (REFL :args (_let_18)))) (let ((_let_237 (CONG _let_191 _let_236 :args _let_145))) (let ((_let_238 (ASSUME :args (_let_79)))) (let ((_let_239 (SYMM _let_238))) (let ((_let_240 (CONG (TRANS _let_189 (CONG _let_171 _let_236 :args _let_145)) (REFL :args (_let_38)) :args _let_163))) (let ((_let_241 (ASSUME :args (_let_40)))) (let ((_let_242 (ASSUME :args (_let_82)))) (let ((_let_243 (ASSUME :args (_let_42)))) (let ((_let_244 (CONG (TRANS (CONG _let_170 _let_190 :args _let_163) (SYMM _let_243) (SYMM _let_242)) _let_236 :args _let_145))) (let ((_let_245 (ASSUME :args (_let_32)))) (let ((_let_246 (ASSUME :args (_let_81)))) (let ((_let_247 (SYMM _let_246))) (let ((_let_248 (CONG _let_236 _let_161 :args _let_145))) (let ((_let_249 (ASSUME :args (_let_30)))) (let ((_let_250 (SYMM _let_249))) (let ((_let_251 (CONG (REFL :args (_let_28)) (TRANS _let_237 (SYMM _let_239) _let_240 (SYMM _let_241) _let_244 (SYMM _let_189) _let_246) :args _let_163))) (let ((_let_252 (ASSUME :args (_let_35)))) (let ((_let_253 (SYMM (SYMM _let_252)))) (let ((_let_254 (CONG _let_236 (TRANS _let_226 (SYMM _let_228) _let_230) :args _let_145))) (let ((_let_255 (SYMM _let_206))) (let ((_let_256 (SYMM _let_202))) (let ((_let_257 (SYMM _let_200))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_18 _let_20 _let_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_23)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_143)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_246 _let_160 _let_249 _let_189 _let_242 _let_243 _let_166 _let_167 _let_168 _let_169 _let_184 _let_185 _let_187 _let_188 _let_241 _let_238 _let_252 _let_197 _let_198 _let_201 _let_203 _let_205 _let_194 _let_196 _let_209 _let_214 _let_183 _let_227 _let_147 _let_148 _let_151 _let_153 _let_155 _let_223 _let_172 _let_173 _let_144 _let_162 _let_176 _let_178 _let_182 _let_193 _let_235 _let_245 _let_219 _let_232 _let_234) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_236 (TRANS 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(_let_78 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args _let_126) :args _let_129)) _let_128 :args (_let_76 false _let_127)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_126) :args _let_114)) _let_113 :args (_let_75 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_117)) _let_118 :args (_let_74 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_125) :args _let_114)) _let_113 :args (_let_72 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args _let_125) :args _let_124)) _let_123 :args (_let_71 false _let_122)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_39 QUANTIFIERS_INST_CBQI_PROP)) :args _let_121)) _let_120 :args (_let_70 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_39 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_108)) _let_109 :args (_let_68 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_15 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_108)) _let_109 :args (_let_66 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_117)) _let_118 :args (_let_65 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_15 _let_39 _let_63 QUANTIFIERS_INST_CBQI_PROP)) :args _let_23)) _let_24 :args (_let_64 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_14 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_108)) _let_109 :args (_let_62 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_39 _let_51 _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_107 :args (_let_60 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_15 _let_39 _let_51 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_23)) _let_24 :args (_let_58 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_15 _let_15 _let_14 QUANTIFIERS_INST_ENUM)) :args _let_115)) _let_116 :args (_let_55 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_52 QUANTIFIERS_INST_ENUM)) :args _let_114)) _let_113 :args (_let_54 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_15 tptp.one _let_14 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_107 :args (_let_50 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_16 _let_47 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_110)) _let_111 :args (_let_48 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_20 _let_16 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_110)) _let_111 :args (_let_46 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_15 _let_18 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_107 :args (_let_44 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_18 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_108)) _let_109 :args (_let_42 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_39 _let_37 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_107 :args (_let_40 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_15 _let_18 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_106)) _let_107 :args (_let_36 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_18 _let_15 _let_18 QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_24 :args (_let_35 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_107 :args (_let_15 tptp.one _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_106)) _let_107 :args (_let_32 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_18 _let_15 tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_23)) _let_24 :args (_let_30 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (_let_15 _let_18 _let_14 QUANTIFIERS_INST_ENUM)) :args _let_23)) _let_24 :args (_let_26 false _let_8)) :args (_let_105 true _let_104 false _let_103 false _let_102 false _let_100 false _let_99 false _let_98 false _let_97 false _let_95 false _let_94 false _let_93 false _let_92 false _let_91 false _let_89 false _let_86 false _let_85 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_76 false _let_75 false _let_74 false _let_72 false _let_71 false _let_70 false _let_68 false _let_66 false _let_65 false _let_64 false _let_62 false _let_60 false _let_58 false _let_55 false _let_54 false _let_50 false _let_48 false _let_46 false _let_44 false _let_42 false _let_40 false _let_36 false _let_35 false _let_32 false _let_30 false _let_26)) _let_24 :args (false true _let_22 false _let_8)) :args (_let_13 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_6 _let_5 _let_4 (= (tptp.domain tptp.zero) tptp.zero) _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.48/11.66 )
% 11.48/11.66 % SZS output end Proof for KLE060+1
% 11.48/11.66 % cvc5---1.0.5 exiting
% 11.48/11.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------