TSTP Solution File: KLE062+1 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE062+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n025.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 05:27:08 EDT 2023
% Result : Theorem 12.48s 12.66s
% Output : Proof 12.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE062+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : do_cvc5 %s %d
% 0.14/0.33 % Computer : n025.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Tue Aug 29 12:15:55 EDT 2023
% 0.14/0.33 % CPUTime :
% 0.19/0.46 %----Proving TF0_NAR, FOF, or CNF
% 12.48/12.66 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZTYH8OJchE/cvc5---1.0.5_14191.p...
% 12.48/12.66 ------- get file name : TPTP file name is KLE062+1
% 12.48/12.66 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14191.smt2...
% 12.48/12.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.48/12.66 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.48/12.66 % SZS status Theorem for KLE062+1
% 12.48/12.66 % SZS output start Proof for KLE062+1
% 12.48/12.66 (
% 12.48/12.66 (let ((_let_1 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.domain X0))) (let ((_let_2 (tptp.domain X1))) (= (tptp.multiplication _let_1 _let_2) (tptp.multiplication _let_2 _let_1))))))) (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 ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_15 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.domain SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (tptp.multiplication _let_16 _let_15))) (let ((_let_18 (tptp.multiplication _let_15 _let_16))) (let ((_let_19 (= _let_18 _let_17))) (let ((_let_20 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_21 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_20))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_23 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_25 (tptp.addition _let_15 tptp.one))) (let ((_let_26 (= tptp.one _let_25))) (let ((_let_27 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_28 (= (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_27))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27))) (let ((_let_30 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30))) (let ((_let_32 (tptp.addition _let_16 tptp.one))) (let ((_let_33 (= tptp.one _let_32))) (let ((_let_34 (tptp.multiplication _let_15 tptp.one))) (let ((_let_35 (= _let_15 _let_34))) (let ((_let_36 (tptp.multiplication tptp.one _let_15))) (let ((_let_37 (= _let_15 _let_36))) (let ((_let_38 (tptp.domain _let_15))) (let ((_let_39 (tptp.multiplication _let_38 _let_15))) (let ((_let_40 (= _let_39 (tptp.addition _let_15 _let_39)))) (let ((_let_41 (= (tptp.domain _let_23) (tptp.domain _let_36)))) (let ((_let_42 (tptp.multiplication _let_16 tptp.one))) (let ((_let_43 (= _let_16 _let_42))) (let ((_let_44 (tptp.multiplication tptp.one _let_16))) (let ((_let_45 (= _let_16 _let_44))) (let ((_let_46 (tptp.domain _let_16))) (let ((_let_47 (tptp.multiplication _let_46 _let_16))) (let ((_let_48 (= _let_47 (tptp.addition _let_16 _let_47)))) (let ((_let_49 (= (tptp.domain _let_30) (tptp.domain _let_44)))) (let ((_let_50 (tptp.addition _let_16 _let_15))) (let ((_let_51 (tptp.addition _let_15 _let_16))) (let ((_let_52 (= _let_51 _let_50))) (let ((_let_53 (tptp.addition tptp.one _let_15))) (let ((_let_54 (= _let_25 _let_53))) (let ((_let_55 (tptp.multiplication _let_15 _let_15))) (let ((_let_56 (= (tptp.multiplication _let_15 _let_53) (tptp.addition _let_34 _let_55)))) (let ((_let_57 (tptp.addition tptp.one _let_16))) (let ((_let_58 (= _let_32 _let_57))) (let ((_let_59 (tptp.multiplication _let_16 _let_16))) (let ((_let_60 (= (tptp.multiplication _let_57 _let_16) (tptp.addition _let_44 _let_59)))) (let ((_let_61 (tptp.addition _let_55 _let_18))) (let ((_let_62 (= (tptp.multiplication _let_15 _let_51) _let_61))) (let ((_let_63 (tptp.multiplication _let_55 _let_16))) (let ((_let_64 (tptp.multiplication _let_15 _let_18))) (let ((_let_65 (= _let_64 _let_63))) (let ((_let_66 (tptp.multiplication _let_15 _let_46))) (let ((_let_67 (tptp.multiplication tptp.one _let_66))) (let ((_let_68 (= _let_66 _let_67))) (let ((_let_69 (tptp.domain _let_66))) (let ((_let_70 (tptp.multiplication _let_69 _let_66))) (let ((_let_71 (= _let_70 (tptp.addition _let_66 _let_70)))) (let ((_let_72 (= (tptp.multiplication _let_15 _let_57) (tptp.addition _let_34 _let_18)))) (let ((_let_73 (tptp.addition _let_55 _let_17))) (let ((_let_74 (= (tptp.multiplication _let_51 _let_15) _let_73))) (let ((_let_75 (tptp.multiplication _let_18 _let_15))) (let ((_let_76 (tptp.multiplication _let_15 _let_17))) (let ((_let_77 (= _let_76 _let_75))) (let ((_let_78 (tptp.multiplication _let_16 _let_38))) (let ((_let_79 (tptp.multiplication tptp.one _let_78))) (let ((_let_80 (= _let_78 _let_79))) (let ((_let_81 (tptp.domain _let_78))) (let ((_let_82 (tptp.multiplication _let_81 _let_78))) (let ((_let_83 (tptp.addition _let_78 _let_82))) (let ((_let_84 (= _let_82 _let_83))) (let ((_let_85 (tptp.addition _let_81 tptp.one))) (let ((_let_86 (= tptp.one _let_85))) (let ((_let_87 (= (tptp.multiplication _let_57 _let_15) (tptp.addition _let_36 _let_17)))) (let ((_let_88 (tptp.addition _let_18 _let_59))) (let ((_let_89 (= (tptp.multiplication _let_51 _let_16) _let_88))) (let ((_let_90 (tptp.addition _let_18 _let_55))) (let ((_let_91 (= (tptp.multiplication _let_15 _let_50) _let_90))) (let ((_let_92 (tptp.multiplication tptp.one _let_69))) (let ((_let_93 (= _let_69 _let_92))) (let ((_let_94 (= (tptp.multiplication _let_25 _let_16) (tptp.addition _let_18 _let_44)))) (let ((_let_95 (= (tptp.domain _let_67) (tptp.domain _let_92)))) (let ((_let_96 (tptp.addition _let_17 _let_55))) (let ((_let_97 (= (tptp.multiplication _let_50 _let_15) _let_96))) (let ((_let_98 (= (tptp.multiplication _let_16 _let_51) (tptp.addition _let_17 _let_59)))) (let ((_let_99 (= (tptp.multiplication _let_16 _let_25) (tptp.addition _let_17 _let_42)))) (let ((_let_100 (tptp.addition _let_59 _let_17))) (let ((_let_101 (= (tptp.multiplication _let_16 _let_50) _let_100))) (let ((_let_102 (tptp.multiplication _let_17 _let_16))) (let ((_let_103 (tptp.multiplication _let_16 _let_18))) (let ((_let_104 (= _let_103 _let_102))) (let ((_let_105 (tptp.addition _let_59 _let_18))) (let ((_let_106 (= (tptp.multiplication _let_50 _let_16) _let_105))) (let ((_let_107 (tptp.domain _let_18))) (let ((_let_108 (tptp.domain _let_55))) (let ((_let_109 (= (tptp.domain _let_61) (tptp.addition _let_108 _let_107)))) (let ((_let_110 (tptp.multiplication _let_69 _let_18))) (let ((_let_111 (= (tptp.multiplication (tptp.addition _let_15 _let_69) _let_18) (tptp.addition _let_64 _let_110)))) (let ((_let_112 (tptp.addition _let_69 _let_16))) (let ((_let_113 (= (tptp.addition _let_16 _let_69) _let_112))) (let ((_let_114 (= (tptp.domain _let_105) (tptp.addition (tptp.domain _let_59) _let_107)))) (let ((_let_115 (= (tptp.domain _let_96) (tptp.addition (tptp.domain _let_17) _let_108)))) (let ((_let_116 (tptp.addition _let_15 _let_81))) (let ((_let_117 (= (tptp.addition _let_81 _let_15) _let_116))) (let ((_let_118 (= (tptp.multiplication _let_73 _let_16) (tptp.addition _let_63 _let_102)))) (let ((_let_119 (tptp.addition tptp.one _let_81))) (let ((_let_120 (= _let_85 _let_119))) (let ((_let_121 (= (tptp.multiplication _let_116 _let_17) (tptp.addition _let_76 (tptp.multiplication _let_81 _let_17))))) (let ((_let_122 (= (tptp.multiplication _let_88 _let_15) (tptp.addition _let_75 (tptp.multiplication _let_59 _let_15))))) (let ((_let_123 (= (tptp.multiplication _let_15 _let_100) (tptp.addition (tptp.multiplication _let_15 _let_59) _let_76)))) (let ((_let_124 (= (tptp.addition _let_76 _let_83) (tptp.addition (tptp.addition _let_76 _let_78) _let_82)))) (let ((_let_125 (= (tptp.multiplication _let_119 _let_78) (tptp.addition _let_79 _let_82)))) (let ((_let_126 (= (tptp.multiplication _let_112 _let_18) (tptp.addition _let_110 _let_103)))) (let ((_let_127 (= (tptp.multiplication _let_16 _let_90) (tptp.addition _let_103 (tptp.multiplication _let_16 _let_55))))) (let ((_let_128 (not _let_19))) (let ((_let_129 (_let_2))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 (or))) (let ((_let_132 (_let_128))) (let ((_let_133 (_let_14))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_136 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (_let_135))) (let ((_let_138 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_139 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (_let_139))) (let ((_let_142 (forall ((X0 $$unsorted)) (= tptp.one (tptp.addition (tptp.domain X0) tptp.one))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (_let_142))) (let ((_let_145 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_146 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_148 (_let_146))) (let ((_let_149 (_let_15 QUANTIFIERS_INST_ENUM))) (let ((_let_150 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.domain X0) X0))) (= _let_1 (tptp.addition X0 _let_1)))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (_let_150))) (let ((_let_153 (_let_5))) (let ((_let_154 (ASSUME :args _let_153))) (let ((_let_155 (_let_16 QUANTIFIERS_INST_ENUM))) (let ((_let_156 (_let_8))) (let ((_let_157 (ASSUME :args _let_156))) (let ((_let_158 (_let_7))) (let ((_let_159 (ASSUME :args _let_158))) (let ((_let_160 (_let_15 _let_15 _let_16 QUANTIFIERS_INST_ENUM))) (let ((_let_161 (_let_11))) (let ((_let_162 (ASSUME :args _let_161))) (let ((_let_163 (_let_66 QUANTIFIERS_INST_ENUM))) (let ((_let_164 (_let_15 tptp.one _let_16 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_165 (_let_15 _let_16 _let_15 QUANTIFIERS_INST_ENUM))) (let ((_let_166 (_let_78 QUANTIFIERS_INST_ENUM))) (let ((_let_167 (_let_16 _let_15 _let_16 QUANTIFIERS_INST_ENUM))) (let ((_let_168 (_let_3))) (let ((_let_169 (ASSUME :args _let_168))) (let ((_let_170 (_let_13))) (let ((_let_171 (ASSUME :args _let_170))) (let ((_let_172 (not _let_127))) (let ((_let_173 (not _let_126))) (let ((_let_174 (not _let_125))) (let ((_let_175 (not _let_124))) (let ((_let_176 (not _let_123))) (let ((_let_177 (not _let_122))) (let ((_let_178 (not _let_121))) (let ((_let_179 (not _let_120))) (let ((_let_180 (not _let_118))) (let ((_let_181 (not _let_117))) (let ((_let_182 (not _let_115))) (let ((_let_183 (not _let_114))) (let ((_let_184 (not _let_113))) (let ((_let_185 (not _let_111))) (let ((_let_186 (not _let_109))) (let ((_let_187 (not _let_106))) (let ((_let_188 (not _let_104))) (let ((_let_189 (not _let_101))) (let ((_let_190 (not _let_99))) (let ((_let_191 (not _let_98))) (let ((_let_192 (not _let_97))) (let ((_let_193 (not _let_95))) (let ((_let_194 (not _let_94))) (let ((_let_195 (not _let_93))) (let ((_let_196 (not _let_91))) (let ((_let_197 (not _let_89))) (let ((_let_198 (not _let_87))) (let ((_let_199 (not _let_86))) (let ((_let_200 (not _let_84))) (let ((_let_201 (not _let_80))) (let ((_let_202 (not _let_77))) (let ((_let_203 (not _let_74))) (let ((_let_204 (not _let_72))) (let ((_let_205 (not _let_71))) (let ((_let_206 (not _let_68))) (let ((_let_207 (not _let_65))) (let ((_let_208 (not _let_62))) (let ((_let_209 (not _let_60))) (let ((_let_210 (not _let_58))) (let ((_let_211 (not _let_56))) (let ((_let_212 (not _let_54))) (let ((_let_213 (not _let_52))) (let ((_let_214 (not _let_49))) (let ((_let_215 (not _let_48))) (let ((_let_216 (not _let_45))) (let ((_let_217 (not _let_43))) (let ((_let_218 (not _let_41))) (let ((_let_219 (not _let_40))) (let ((_let_220 (not _let_37))) (let ((_let_221 (not _let_35))) (let ((_let_222 (not _let_33))) (let ((_let_223 (not _let_31))) (let ((_let_224 (not _let_29))) (let ((_let_225 (not _let_28))) (let ((_let_226 (not _let_26))) (let ((_let_227 (not _let_24))) (let ((_let_228 (not _let_22))) (let ((_let_229 (not _let_21))) (let ((_let_230 (_let_172))) (let ((_let_231 (ASSUME :args (_let_127)))) (let ((_let_232 (ASSUME :args _let_132))) (let ((_let_233 (APPLY_UF tptp.multiplication))) (let ((_let_234 (ASSUME :args (_let_35)))) (let ((_let_235 (SYMM _let_234))) (let ((_let_236 (ASSUME :args (_let_33)))) (let ((_let_237 (ASSUME :args (_let_58)))) (let ((_let_238 (TRANS (SYMM _let_237) (SYMM _let_236)))) (let ((_let_239 (REFL :args (_let_15)))) (let ((_let_240 (CONG _let_239 _let_238 :args _let_233))) (let ((_let_241 (ASSUME :args (_let_72)))) (let ((_let_242 (SYMM _let_241))) (let ((_let_243 (APPLY_UF tptp.addition))) (let ((_let_244 (REFL :args (_let_18)))) (let ((_let_245 (ASSUME :args (_let_26)))) (let ((_let_246 (SYMM _let_245))) (let ((_let_247 (ASSUME :args (_let_54)))) (let ((_let_248 (ASSUME :args (_let_56)))) (let 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:args _let_163) :args _let_152)) _let_151 :args (_let_71 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args _let_163) :args _let_141)) _let_140 :args (_let_68 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_162 :args _let_160) :args _let_161)) _let_162 :args (_let_65 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args _let_160) :args _let_156)) _let_157 :args (_let_62 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_159 :args (tptp.one _let_16 _let_16 QUANTIFIERS_INST_CBQI_PROP)) :args _let_158)) _let_159 :args (_let_60 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_16 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_133)) _let_134 :args (_let_58 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_15 tptp.one _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_156)) _let_157 :args (_let_56 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_15 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_133)) _let_134 :args (_let_54 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_15 _let_16 QUANTIFIERS_INST_ENUM)) :args _let_133)) _let_134 :args (_let_52 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_153)) _let_154 :args (_let_49 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args _let_155) :args _let_152)) _let_151 :args (_let_48 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args _let_155) :args _let_141)) _let_140 :args (_let_45 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args _let_155) :args _let_148)) _let_147 :args (_let_43 false _let_146)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_153)) _let_154 :args (_let_41 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args _let_149) :args _let_152)) _let_151 :args (_let_40 false _let_150)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args _let_149) :args _let_141)) _let_140 :args (_let_37 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args _let_149) :args _let_148)) _let_147 :args (_let_35 false _let_146)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args _let_145) :args _let_144)) _let_143 :args (_let_33 false _let_142)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args _let_145) :args _let_141)) _let_140 :args (_let_31 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args _let_145) :args _let_137)) _let_136 :args (_let_29 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_133)) _let_134 :args (_let_28 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args _let_138) :args _let_144)) _let_143 :args (_let_26 false _let_142)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_140 :args _let_138) :args _let_141)) _let_140 :args (_let_24 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args _let_138) :args _let_137)) _let_136 :args (_let_22 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM)) :args _let_133)) _let_134 :args (_let_21 false _let_14)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_130) :args _let_129)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_132) :args _let_131)) _let_130 :args (_let_128 true _let_1)) :args (false false _let_127 false _let_126 false _let_125 false _let_124 false _let_123 false _let_122 false _let_121 false _let_120 false _let_118 false _let_117 false _let_115 false _let_114 false _let_113 false _let_111 false _let_109 false _let_106 false _let_104 false _let_101 false _let_99 false _let_98 false _let_97 false _let_95 false _let_94 false _let_93 false _let_91 false _let_89 false _let_87 false _let_86 false _let_84 false _let_80 false _let_77 false _let_74 false _let_72 false _let_71 false _let_68 false _let_65 false _let_62 false _let_60 false _let_58 false _let_56 false _let_54 false _let_52 false _let_49 false _let_48 false _let_45 false _let_43 false _let_41 false _let_40 false _let_37 false _let_35 false _let_33 false _let_31 false _let_29 false _let_28 false _let_26 false _let_24 false _let_22 false _let_21 true _let_19)) :args (_let_14 _let_13 _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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.52/12.67 )
% 12.52/12.67 % SZS output end Proof for KLE062+1
% 12.52/12.67 % cvc5---1.0.5 exiting
% 12.52/12.67 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------