TSTP Solution File: KLE169+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE169+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n026.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 05:27:32 EDT 2023
% Result : Theorem 5.92s 6.15s
% Output : Proof 5.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE169+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 11:57:05 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 5.92/6.15 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.PZSCsSiERu/cvc5---1.0.5_22703.p...
% 5.92/6.15 ------- get file name : TPTP file name is KLE169+1
% 5.92/6.15 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_22703.smt2...
% 5.92/6.15 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 5.92/6.15 % SZS status Theorem for KLE169+1
% 5.92/6.15 % SZS output start Proof for KLE169+1
% 5.92/6.15 (
% 5.92/6.15 (let ((_let_1 (tptp.multiplication tptp.sigma tptp.a))) (let ((_let_2 (tptp.star tptp.sigma))) (let ((_let_3 (tptp.multiplication _let_2 (tptp.multiplication tptp.a _let_1)))) (let ((_let_4 (tptp.multiplication tptp.b tptp.a))) (let ((_let_5 (tptp.multiplication tptp.a _let_4))) (let ((_let_6 (tptp.leq _let_5 _let_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.addition tptp.a tptp.b))) (let ((_let_9 (= tptp.sigma _let_8))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_11 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_12 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_16 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_17 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_18 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_19 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_20 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_21 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_22 (tptp.multiplication _let_2 tptp.a))) (let ((_let_23 (= _let_3 (tptp.multiplication _let_22 _let_1)))) (let ((_let_24 (tptp.multiplication tptp.a tptp.b))) (let ((_let_25 (tptp.multiplication _let_24 tptp.a))) (let ((_let_26 (= _let_5 _let_25))) (let ((_let_27 (tptp.multiplication tptp.a tptp.a))) (let ((_let_28 (tptp.addition _let_27 _let_4))) (let ((_let_29 (= (tptp.multiplication _let_8 tptp.a) _let_28))) (let ((_let_30 (= _let_3 (tptp.addition _let_5 _let_3)))) (let ((_let_31 (tptp.multiplication _let_2 tptp.sigma))) (let ((_let_32 (tptp.addition tptp.one _let_31))) (let ((_let_33 (= _let_32 (tptp.addition _let_31 tptp.one)))) (let ((_let_34 (tptp.multiplication _let_22 _let_4))) (let ((_let_35 (tptp.multiplication _let_22 _let_27))) (let ((_let_36 (tptp.addition _let_35 _let_34))) (let ((_let_37 (= (tptp.multiplication _let_22 _let_28) _let_36))) (let ((_let_38 (tptp.multiplication tptp.sigma _let_2))) (let ((_let_39 (tptp.addition tptp.one _let_38))) (let ((_let_40 (tptp.addition _let_39 _let_2))) (let ((_let_41 (= _let_2 _let_40))) (let ((_let_42 (tptp.addition _let_32 _let_2))) (let ((_let_43 (= _let_2 _let_42))) (let ((_let_44 (= _let_42 (tptp.addition _let_2 _let_32)))) (let ((_let_45 (tptp.addition _let_5 _let_35))) (let ((_let_46 (tptp.addition _let_45 _let_34))) (let ((_let_47 (= (tptp.addition _let_5 _let_36) _let_46))) (let ((_let_48 (tptp.addition _let_38 _let_2))) (let ((_let_49 (tptp.addition tptp.one _let_48))) (let ((_let_50 (= _let_40 _let_49))) (let ((_let_51 (tptp.multiplication _let_22 tptp.a))) (let ((_let_52 (tptp.multiplication _let_51 tptp.a))) (let ((_let_53 (= _let_35 _let_52))) (let ((_let_54 (= _let_34 (tptp.multiplication _let_2 _let_5)))) (let ((_let_55 (tptp.multiplication tptp.a _let_27))) (let ((_let_56 (= _let_35 (tptp.multiplication _let_2 _let_55)))) (let ((_let_57 (tptp.multiplication tptp.sigma _let_32))) (let ((_let_58 (tptp.addition _let_57 _let_38))) (let ((_let_59 (= (tptp.multiplication tptp.sigma _let_42) _let_58))) (let ((_let_60 (= _let_45 (tptp.addition _let_35 _let_5)))) (let ((_let_61 (= _let_48 (tptp.addition _let_2 _let_38)))) (let ((_let_62 (= _let_46 (tptp.addition _let_34 _let_45)))) (let ((_let_63 (tptp.addition _let_57 _let_48))) (let ((_let_64 (= _let_63 (tptp.addition _let_58 _let_2)))) (let ((_let_65 (tptp.addition _let_31 _let_32))) (let ((_let_66 (tptp.addition tptp.one _let_65))) (let ((_let_67 (tptp.addition _let_32 _let_32))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (= _let_32 _let_67))) (let ((_let_70 (tptp.multiplication _let_2 tptp.one))) (let ((_let_71 (= _let_2 _let_70))) (let ((_let_72 (tptp.multiplication tptp.one _let_2))) (let ((_let_73 (= _let_2 _let_72))) (let ((_let_74 (tptp.multiplication _let_48 tptp.one))) (let ((_let_75 (tptp.multiplication tptp.one tptp.one))) (let ((_let_76 (tptp.addition _let_75 _let_74))) (let ((_let_77 (= (tptp.multiplication _let_49 tptp.one) _let_76))) (let ((_let_78 (tptp.multiplication _let_48 _let_5))) (let ((_let_79 (tptp.multiplication tptp.one _let_5))) (let ((_let_80 (tptp.addition _let_79 _let_78))) (let ((_let_81 (= (tptp.multiplication _let_49 _let_5) _let_80))) (let ((_let_82 (= (tptp.multiplication _let_49 _let_55) (tptp.addition (tptp.multiplication tptp.one _let_55) (tptp.multiplication _let_48 _let_55))))) (let ((_let_83 (= (tptp.multiplication (tptp.addition _let_24 _let_51) tptp.a) (tptp.addition _let_25 _let_52)))) (let ((_let_84 (= _let_2 (tptp.addition _let_70 _let_2)))) (let ((_let_85 (= (tptp.addition _let_2 tptp.one) (tptp.addition tptp.one _let_2)))) (let ((_let_86 (= _let_65 (tptp.addition _let_32 _let_31)))) (let ((_let_87 (tptp.addition _let_35 _let_79))) (let ((_let_88 (tptp.addition _let_87 _let_78))) (let ((_let_89 (= (tptp.addition _let_35 _let_80) _let_88))) (let ((_let_90 (tptp.addition _let_72 _let_2))) (let ((_let_91 (= (tptp.addition _let_38 _let_90) (tptp.addition (tptp.addition _let_38 _let_72) _let_2)))) (let ((_let_92 (tptp.addition _let_72 _let_75))) (let ((_let_93 (tptp.addition _let_92 _let_74))) (let ((_let_94 (= (tptp.addition _let_72 _let_76) _let_93))) (let ((_let_95 (tptp.addition _let_65 _let_2))) (let ((_let_96 (= (tptp.addition tptp.one _let_95) (tptp.addition _let_66 _let_2)))) (let ((_let_97 (tptp.addition _let_78 _let_45))) (let ((_let_98 (tptp.addition _let_79 _let_97))) (let ((_let_99 (= _let_98 (tptp.addition _let_80 _let_45)))) (let ((_let_100 (tptp.multiplication tptp.one tptp.a))) (let ((_let_101 (= _let_79 (tptp.multiplication _let_100 _let_4)))) (let ((_let_102 (= tptp.one _let_75))) (let ((_let_103 (= _let_48 _let_74))) (let ((_let_104 (= tptp.a _let_100))) (let ((_let_105 (tptp.multiplication _let_72 tptp.sigma))) (let ((_let_106 (tptp.addition _let_105 _let_31))) (let ((_let_107 (= (tptp.multiplication _let_90 tptp.sigma) _let_106))) (let ((_let_108 (= (tptp.multiplication _let_63 _let_5) (tptp.addition (tptp.multiplication _let_57 _let_5) _let_78)))) (let ((_let_109 (= (tptp.multiplication (tptp.addition tptp.one tptp.sigma) _let_2) (tptp.addition _let_72 _let_38)))) (let ((_let_110 (= _let_88 (tptp.addition _let_78 _let_87)))) (let ((_let_111 (= _let_95 (tptp.addition _let_2 _let_65)))) (let ((_let_112 (= _let_93 (tptp.addition _let_74 _let_92)))) (let ((_let_113 (= (tptp.addition tptp.one _let_106) (tptp.addition (tptp.addition tptp.one _let_105) _let_31)))) (let ((_let_114 (ASSUME :args (_let_9)))) (let ((_let_115 (_let_18))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_118 (_let_14))) (let ((_let_119 (ASSUME :args _let_118))) (let ((_let_120 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_121 (= _let_6 _let_30))) (let ((_let_122 (not _let_30))) (let ((_let_123 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 ((tptp.leq A B)))) (let ((_let_127 (_let_21))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 ((tptp.addition A B)))) (let ((_let_130 (_let_15))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_133 (tptp.leq _let_39 _let_2))) (let ((_let_134 (= _let_133 _let_41))) (let ((_let_135 (_let_12))) (let ((_let_136 (ASSUME :args _let_135))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (tptp.sigma QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_135)) _let_136 :args (_let_133 false _let_12)))) (let ((_let_138 (tptp.leq _let_32 _let_2))) (let ((_let_139 (= _let_138 _let_43))) (let ((_let_140 (_let_11))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 (_let_20))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 ((tptp.addition A (tptp.addition B C))))) (let ((_let_145 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_146 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_147 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_19)) (MACRO_SR_EQ_INTRO :args (_let_19 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_150 (EQ_RESOLVE (ASSUME :args (_let_17)) (MACRO_SR_EQ_INTRO :args (_let_17 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_151 (_let_149))) (let ((_let_152 ((tptp.multiplication A tptp.one)))) (let ((_let_153 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_154 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_155 (_let_153))) (let ((_let_156 ((tptp.multiplication tptp.one A)))) (let ((_let_157 ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (let ((_let_158 (tptp.leq _let_70 _let_2))) (let ((_let_159 (= _let_158 _let_84))) (let ((_let_160 (tptp.addition _let_38 tptp.one))) (let ((_let_161 (tptp.leq _let_160 _let_2))) (let ((_let_162 (not _let_161))) (let ((_let_163 (or _let_162 _let_158))) (let ((_let_164 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A B) C) B)) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_165 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_166 (= _let_39 _let_160))) (let ((_let_167 (and _let_133 _let_166))) (let ((_let_168 (_let_133 _let_166))) (let ((_let_169 (ASSUME :args (_let_133)))) (let ((_let_170 (REFL :args (_let_2)))) (let ((_let_171 (ASSUME :args (_let_166)))) (let ((_let_172 (not _let_113))) (let ((_let_173 (not _let_112))) (let ((_let_174 (not _let_111))) (let ((_let_175 (not _let_110))) (let ((_let_176 (not _let_109))) (let ((_let_177 (not _let_108))) (let ((_let_178 (not _let_107))) (let ((_let_179 (not _let_104))) (let ((_let_180 (not _let_103))) (let ((_let_181 (not _let_102))) (let ((_let_182 (not _let_101))) (let ((_let_183 (not _let_99))) (let ((_let_184 (not _let_96))) (let ((_let_185 (not _let_94))) (let ((_let_186 (not _let_91))) (let ((_let_187 (not _let_89))) (let ((_let_188 (not _let_86))) (let ((_let_189 (not _let_85))) (let ((_let_190 (not _let_84))) (let ((_let_191 (not _let_83))) (let ((_let_192 (not _let_82))) (let ((_let_193 (not _let_81))) (let ((_let_194 (not _let_77))) (let ((_let_195 (not _let_73))) (let ((_let_196 (not _let_71))) (let ((_let_197 (not _let_69))) (let ((_let_198 (not _let_68))) (let ((_let_199 (not _let_64))) (let ((_let_200 (not _let_62))) (let ((_let_201 (not _let_61))) (let ((_let_202 (not _let_60))) (let ((_let_203 (not _let_59))) (let ((_let_204 (not _let_56))) (let ((_let_205 (not _let_54))) (let ((_let_206 (not _let_53))) (let ((_let_207 (not _let_50))) (let ((_let_208 (not _let_47))) (let ((_let_209 (not _let_44))) (let ((_let_210 (not _let_43))) (let ((_let_211 (not _let_41))) (let ((_let_212 (not _let_37))) (let ((_let_213 (not _let_33))) (let ((_let_214 (not _let_29))) (let ((_let_215 (not _let_26))) (let ((_let_216 (not _let_23))) (let ((_let_217 (not _let_9))) (let ((_let_218 (= _let_97 _let_98))) (let ((_let_219 (not _let_218))) (let ((_let_220 (ASSUME :args (_let_99)))) (let ((_let_221 (SYMM (SYMM _let_220)))) (let ((_let_222 (APPLY_UF tptp.addition))) (let ((_let_223 (REFL :args (_let_45)))) (let ((_let_224 (ASSUME :args (_let_81)))) (let ((_let_225 (SYMM _let_224))) (let ((_let_226 (APPLY_UF tptp.multiplication))) (let ((_let_227 (REFL :args (_let_5)))) (let ((_let_228 (ASSUME :args (_let_50)))) (let ((_let_229 (SYMM _let_228))) (let ((_let_230 (ASSUME :args (_let_41)))) (let ((_let_231 (SYMM _let_230))) (let ((_let_232 (TRANS (SYMM _let_231) (SYMM _let_229)))) (let ((_let_233 (ASSUME :args (_let_54)))) (let ((_let_234 (SYMM _let_233))) (let ((_let_235 (ASSUME :args (_let_62)))) (let ((_let_236 (SYMM _let_235))) (let ((_let_237 (ASSUME :args (_let_53)))) (let ((_let_238 (ASSUME :args (_let_26)))) (let ((_let_239 (SYMM _let_238))) (let ((_let_240 (ASSUME :args (_let_83)))) (let ((_let_241 (TRANS (SYMM (SYMM _let_240)) (CONG _let_239 (SYMM _let_237) :args _let_222)))) (let ((_let_242 (ASSUME :args (_let_84)))) (let ((_let_243 (SYMM _let_242))) (let ((_let_244 (ASSUME :args (_let_71)))) (let ((_let_245 (SYMM _let_244))) (let ((_let_246 (ASSUME :args (_let_73)))) (let ((_let_247 (SYMM _let_246))) (let ((_let_248 (TRANS _let_247 (SYMM _let_245)))) (let ((_let_249 (TRANS (CONG _let_248 _let_170 :args _let_222) _let_243))) (let ((_let_250 (SYMM _let_249))) (let ((_let_251 (REFL :args (tptp.one)))) (let ((_let_252 (SYMM _let_232))) (let ((_let_253 (ASSUME :args (_let_77)))) (let ((_let_254 (ASSUME :args (_let_94)))) (let ((_let_255 (ASSUME :args (_let_112)))) (let ((_let_256 (ASSUME :args (_let_102)))) (let ((_let_257 (ASSUME :args (_let_85)))) (let ((_let_258 (ASSUME :args (_let_43)))) (let ((_let_259 (SYMM _let_258))) (let ((_let_260 (ASSUME :args (_let_44)))) (let ((_let_261 (REFL :args (tptp.sigma)))) (let ((_let_262 (ASSUME :args (_let_107)))) (let ((_let_263 (ASSUME :args (_let_113)))) (let ((_let_264 (REFL :args (_let_31)))) (let ((_let_265 (ASSUME :args (_let_33)))) (let ((_let_266 (ASSUME :args (_let_86)))) (let ((_let_267 (ASSUME :args (_let_111)))) (let ((_let_268 (ASSUME :args (_let_96)))) (let ((_let_269 (ASSUME :args (_let_68)))) (let ((_let_270 (ASSUME :args (_let_69)))) (let ((_let_271 (ASSUME :args (_let_103)))) (let ((_let_272 (REFL :args (_let_38)))) (let ((_let_273 (ASSUME :args (_let_91)))) (let ((_let_274 (ASSUME :args (_let_61)))) (let ((_let_275 (CONG _let_247 _let_272 :args _let_222))) (let ((_let_276 (ASSUME :args (_let_109)))) (let ((_let_277 (SYMM _let_276))) (let ((_let_278 (ASSUME :args (_let_59)))) (let ((_let_279 (ASSUME :args (_let_64)))) (let ((_let_280 (TRANS (SYMM (SYMM 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((_let_298 (REFL :args (_let_78)))) (let ((_let_299 (ASSUME :args (_let_122)))) (let ((_let_300 (ASSUME :args (_let_23)))) (let ((_let_301 (SYMM _let_300))) (let ((_let_302 (ASSUME :args (_let_29)))) (let ((_let_303 (CONG (REFL :args (_let_22)) (TRANS (SYMM _let_302) (CONG (SYMM _let_114) (REFL :args (tptp.a)) :args _let_226)) :args _let_226))) (let ((_let_304 (ASSUME :args (_let_37)))) (let ((_let_305 (SYMM _let_304))) (let ((_let_306 (ASSUME :args (_let_47)))) (let ((_let_307 (TRANS _let_229 _let_231))) (let ((_let_308 (TRANS _let_225 (CONG _let_307 _let_227 :args _let_226) _let_234))) (let ((_let_309 (ASSUME :args (_let_89)))) (let ((_let_310 (TRANS _let_288 (CONG _let_307 _let_286 :args _let_226) _let_285))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO (MODUS_PONENS (AND_INTRO _let_299 _let_300 _let_114 _let_302 _let_304 _let_233 _let_230 _let_228 _let_224 _let_309 _let_296 _let_238 _let_284 _let_287 _let_293 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (_let_34 _let_35 _let_5 QUANTIFIERS_INST_E_MATCHING _let_144)) :args _let_142)) _let_143 :args (_let_47 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (_let_32 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_44 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_139)) :args ((or (not _let_138) _let_43 (not _let_139)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.sigma QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_140)) _let_141 :args (_let_138 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_32 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_139 false _let_123)) :args (_let_43 false _let_138 false _let_139)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_134)) :args ((or (not _let_133) _let_41 (not _let_134)))) _let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_39 _let_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_134 false _let_123)) :args (_let_41 false _let_133 false _let_134)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (_let_22 _let_27 _let_4 QUANTIFIERS_INST_E_MATCHING _let_132)) :args _let_130)) _let_131 :args (_let_37 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (tptp.one _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_129)) :args _let_127)) _let_128 :args (_let_33 false _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_121)) :args ((or _let_6 _let_122 (not _let_121)))) (ASSUME :args (_let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_5 _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_121 false _let_123)) :args (_let_122 true _let_6 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.a tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_120)) :args _let_118)) _let_119 :args (_let_29 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (tptp.a tptp.b tptp.a QUANTIFIERS_INST_E_MATCHING _let_117)) :args _let_115)) _let_116 :args (_let_26 false _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_2 tptp.a _let_1 QUANTIFIERS_INST_E_MATCHING _let_117)) :args _let_115)) _let_116 :args (_let_23 false _let_18)) _let_114 :args (false false _let_113 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_104 false _let_103 false _let_102 false _let_101 false _let_99 false _let_96 false _let_94 false _let_91 false _let_89 false _let_86 false _let_85 false _let_84 false _let_83 false _let_82 false _let_81 false _let_77 false _let_73 false _let_71 false _let_69 false _let_68 false _let_64 false _let_62 false _let_61 false _let_60 false _let_59 false _let_56 false _let_54 false _let_53 false _let_50 false _let_47 false _let_44 false _let_43 false _let_41 false _let_37 false _let_33 true _let_30 false _let_29 false _let_26 false _let_23 false _let_9)) :args (_let_21 _let_20 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_13 _let_12 _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) A) (tptp.leq (tptp.multiplication C (tptp.star B)) A))) _let_9 _let_7 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 5.92/6.17 )
% 5.92/6.17 % SZS output end Proof for KLE169+1
% 5.92/6.17 % cvc5---1.0.5 exiting
% 5.92/6.17 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------