TSTP Solution File: KLE043+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE043+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n022.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 05:27:03 EDT 2023
% Result : Theorem 4.42s 4.67s
% Output : Proof 4.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE043+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 12:25:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 4.42/4.67 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.p6lAbygdeQ/cvc5---1.0.5_20326.p...
% 4.42/4.67 ------- get file name : TPTP file name is KLE043+2
% 4.42/4.67 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20326.smt2...
% 4.42/4.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 4.42/4.67 % SZS status Theorem for KLE043+2
% 4.42/4.67 % SZS output start Proof for KLE043+2
% 4.42/4.67 (
% 4.42/4.67 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.star X0))) (let ((_let_2 (tptp.multiplication _let_1 X1))) (let ((_let_3 (tptp.addition X1 (tptp.multiplication (tptp.multiplication X0 _let_1) X1)))) (and (tptp.leq _let_2 _let_3) (tptp.leq _let_3 _let_2))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A B) C) B) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_12 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_14 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_16 (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_18 (= _let_17 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_19 (tptp.multiplication _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_21 (= _let_16 _let_20))) (let ((_let_22 (tptp.multiplication _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.addition tptp.one _let_22))) (let ((_let_24 (= _let_23 (tptp.addition _let_22 tptp.one)))) (let ((_let_25 (tptp.addition _let_17 _let_19))) (let ((_let_26 (tptp.addition _let_19 _let_17))) (let ((_let_27 (= _let_26 _let_25))) (let ((_let_28 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_29 (tptp.addition _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_30 (= _let_29 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28)))) (let ((_let_31 (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (tptp.addition _let_31 _let_16))) (let ((_let_33 (= _let_26 _let_32))) (let ((_let_34 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_35 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (tptp.addition _let_35 _let_34))) (let ((_let_37 (= _let_28 _let_36))) (let ((_let_38 (tptp.addition tptp.one _let_15))) (let ((_let_39 (tptp.addition _let_38 _let_14))) (let ((_let_40 (= _let_14 _let_39))) (let ((_let_41 (tptp.addition _let_23 _let_14))) (let ((_let_42 (= _let_14 _let_41))) (let ((_let_43 (= _let_31 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19)))) (let ((_let_44 (= _let_41 (tptp.addition _let_14 _let_23)))) (let ((_let_45 (= _let_32 (tptp.addition _let_16 _let_31)))) (let ((_let_46 (tptp.addition _let_34 _let_35))) (let ((_let_47 (= _let_36 _let_46))) (let ((_let_48 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35))) (let ((_let_49 (tptp.addition _let_48 _let_34))) (let ((_let_50 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_36) _let_49))) (let ((_let_51 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17))) (let ((_let_52 (tptp.addition _let_28 _let_51))) (let ((_let_53 (tptp.addition _let_29 _let_17))) (let ((_let_54 (= _let_53 _let_52))) (let ((_let_55 (tptp.addition _let_15 _let_14))) (let ((_let_56 (tptp.addition tptp.one _let_55))) (let ((_let_57 (= _let_39 _let_56))) (let ((_let_58 (tptp.addition _let_16 _let_19))) (let ((_let_59 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_58))) (let ((_let_60 (= _let_25 _let_59))) (let ((_let_61 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_62 (tptp.addition _let_61 _let_15))) (let ((_let_63 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_41) _let_62))) (let ((_let_64 (tptp.multiplication _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_65 (tptp.addition _let_64 _let_19))) (let ((_let_66 (= (tptp.multiplication _let_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_65))) (let ((_let_67 (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_68 (= _let_51 _let_67))) (let ((_let_69 (tptp.addition _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_70 (= _let_48 _let_69))) (let ((_let_71 (= _let_59 (tptp.addition _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_72 (tptp.addition _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_73 (= _let_72 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_26)))) (let ((_let_74 (= _let_52 (tptp.addition _let_51 _let_28)))) (let ((_let_75 (= _let_49 (tptp.addition _let_34 _let_48)))) (let ((_let_76 (= _let_55 (tptp.addition _let_14 _let_15)))) (let ((_let_77 (tptp.addition _let_16 _let_64))) (let ((_let_78 (= (tptp.addition _let_16 _let_65) (tptp.addition _let_77 _let_19)))) (let ((_let_79 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_80 (tptp.addition _let_79 _let_16))) (let ((_let_81 (= _let_51 _let_80))) (let ((_let_82 (tptp.addition _let_64 _let_31))) (let ((_let_83 (= _let_82 (tptp.addition _let_65 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_84 (= _let_72 (tptp.addition _let_19 _let_67)))) (let ((_let_85 (tptp.addition _let_61 _let_55))) (let ((_let_86 (= _let_85 (tptp.addition _let_62 _let_14)))) (let ((_let_87 (tptp.addition _let_35 _let_51))) (let ((_let_88 (tptp.addition _let_34 _let_87))) (let ((_let_89 (= _let_88 (tptp.addition _let_46 _let_51)))) (let ((_let_90 (tptp.addition _let_22 _let_23))) (let ((_let_91 (tptp.addition tptp.one _let_90))) (let ((_let_92 (tptp.addition _let_23 _let_23))) (let ((_let_93 (= _let_92 _let_91))) (let ((_let_94 (= _let_23 _let_92))) (let ((_let_95 (tptp.multiplication _let_14 tptp.one))) (let ((_let_96 (= _let_14 _let_95))) (let ((_let_97 (tptp.multiplication tptp.one _let_14))) (let ((_let_98 (= _let_14 _let_97))) (let ((_let_99 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_55))) (let ((_let_100 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_101 (tptp.addition _let_100 _let_99))) (let ((_let_102 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_56) _let_101))) (let ((_let_103 (tptp.multiplication _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_104 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_105 (tptp.addition _let_104 _let_103))) (let ((_let_106 (= (tptp.multiplication _let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_105))) (let ((_let_107 (tptp.multiplication _let_55 tptp.one))) (let ((_let_108 (tptp.multiplication tptp.one tptp.one))) (let ((_let_109 (tptp.addition _let_108 _let_107))) (let ((_let_110 (= (tptp.multiplication _let_56 tptp.one) _let_109))) (let ((_let_111 (= _let_58 _let_103))) (let ((_let_112 (= _let_14 (tptp.addition _let_95 _let_14)))) (let ((_let_113 (= (tptp.addition _let_14 tptp.one) (tptp.addition tptp.one _let_14)))) (let ((_let_114 (tptp.addition _let_28 _let_17))) (let ((_let_115 (tptp.addition _let_17 _let_28))) (let ((_let_116 (= _let_115 _let_114))) (let ((_let_117 (= _let_88 (tptp.addition _let_87 _let_34)))) (let ((_let_118 (= _let_90 (tptp.addition _let_23 _let_22)))) (let ((_let_119 (= _let_80 (tptp.addition _let_16 _let_79)))) (let ((_let_120 (= _let_105 (tptp.addition _let_103 _let_104)))) (let ((_let_121 (tptp.addition _let_97 _let_14))) (let ((_let_122 (= (tptp.addition _let_15 _let_121) (tptp.addition (tptp.addition _let_15 _let_97) _let_14)))) (let ((_let_123 (= (tptp.addition _let_16 _let_82) (tptp.addition _let_77 _let_31)))) (let ((_let_124 (= (tptp.addition _let_29 _let_16) _let_114))) (let ((_let_125 (tptp.addition _let_97 _let_108))) (let ((_let_126 (tptp.addition _let_125 _let_107))) (let ((_let_127 (= (tptp.addition _let_97 _let_109) _let_126))) (let ((_let_128 (= (tptp.addition _let_35 _let_80) (tptp.addition (tptp.addition _let_35 _let_79) _let_16)))) (let ((_let_129 (tptp.addition _let_90 _let_14))) (let ((_let_130 (= (tptp.addition tptp.one _let_129) (tptp.addition _let_91 _let_14)))) (let ((_let_131 (tptp.addition _let_34 _let_51))) (let ((_let_132 (= (tptp.addition (tptp.addition _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_17) _let_131))) (let ((_let_133 (tptp.addition _let_16 _let_28))) (let ((_let_134 (= _let_115 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_133)))) (let ((_let_135 (tptp.addition _let_69 _let_16))) (let ((_let_136 (= (tptp.addition _let_34 _let_135) (tptp.addition (tptp.addition _let_34 _let_69) _let_16)))) (let ((_let_137 (= (tptp.addition _let_79 _let_133) (tptp.addition _let_80 _let_28)))) (let ((_let_138 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_79))) (let ((_let_139 (= tptp.one _let_108))) (let ((_let_140 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_100))) (let ((_let_141 (= _let_55 _let_107))) (let ((_let_142 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_104))) (let ((_let_143 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_105) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_104) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_103))))) (let ((_let_144 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_85) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_61) _let_99)))) (let ((_let_145 (tptp.multiplication _let_99 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_146 (tptp.multiplication _let_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_147 (tptp.addition _let_146 _let_145))) (let ((_let_148 (= (tptp.multiplication _let_101 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_147))) (let ((_let_149 (tptp.multiplication _let_97 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_150 (tptp.addition _let_149 _let_22))) (let ((_let_151 (= (tptp.multiplication _let_121 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_150))) (let ((_let_152 (= (tptp.multiplication (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_14) (tptp.addition _let_97 _let_15)))) (let ((_let_153 (= _let_17 _let_53))) (let ((_let_154 (= _let_133 (tptp.addition _let_28 _let_16)))) (let ((_let_155 (tptp.addition _let_16 _let_34))) (let ((_let_156 (= _let_155 (tptp.addition _let_34 _let_16)))) (let ((_let_157 (= _let_126 (tptp.addition _let_107 _let_125)))) (let ((_let_158 (= _let_129 (tptp.addition _let_14 _let_90)))) (let ((_let_159 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_147) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_146) _let_145)))) (let ((_let_160 (= (tptp.addition tptp.one _let_150) (tptp.addition (tptp.addition tptp.one _let_149) _let_22)))) (let ((_let_161 (= (tptp.addition _let_46 _let_16) (tptp.addition _let_34 (tptp.addition _let_35 _let_16))))) (let ((_let_162 (= (tptp.addition _let_69 _let_155) (tptp.addition _let_135 _let_34)))) (let ((_let_163 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_26) (tptp.addition _let_20 _let_28)))) (let ((_let_164 (_let_13))) (let ((_let_165 (ASSUME :args _let_164))) (let ((_let_166 ((tptp.addition A B)))) (let ((_let_167 (_let_10))) (let ((_let_168 (ASSUME :args _let_167))) (let ((_let_169 (_let_12))) (let ((_let_170 (ASSUME :args _let_169))) (let ((_let_171 ((tptp.addition A (tptp.addition B C))))) (let ((_let_172 (_let_7))) (let ((_let_173 (ASSUME :args _let_172))) (let ((_let_174 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_175 (tptp.leq _let_38 _let_14))) (let ((_let_176 (= _let_175 _let_40))) (let ((_let_177 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (_let_177))) (let ((_let_180 ((tptp.leq A B)))) (let ((_let_181 (_let_4))) (let ((_let_182 (ASSUME :args _let_181))) (let ((_let_183 ((tptp.star A)))) (let ((_let_184 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_182 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_183)) :args _let_181)) _let_182 :args (_let_175 false _let_4)))) (let ((_let_185 (tptp.leq _let_23 _let_14))) (let ((_let_186 (= _let_185 _let_42))) (let ((_let_187 (_let_3))) (let ((_let_188 (ASSUME :args _let_187))) (let ((_let_189 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_190 (_let_6))) (let ((_let_191 (ASSUME :args _let_190))) (let ((_let_192 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_193 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_194 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_195 (_let_193))) (let ((_let_196 ((tptp.addition A A)))) (let ((_let_197 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_198 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_199 (_let_197))) (let ((_let_200 ((tptp.multiplication A tptp.one)))) (let ((_let_201 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_202 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_203 (_let_201))) (let ((_let_204 ((tptp.multiplication tptp.one A)))) (let ((_let_205 ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) (let ((_let_206 (tptp.leq _let_95 _let_14))) (let ((_let_207 (= _let_206 _let_112))) (let ((_let_208 (tptp.addition _let_15 tptp.one))) (let ((_let_209 (tptp.leq _let_208 _let_14))) (let ((_let_210 (not _let_209))) (let ((_let_211 (or _let_210 _let_206))) (let ((_let_212 (forall ((A $$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_213 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_214 (_let_212))) (let ((_let_215 (= _let_38 _let_208))) (let ((_let_216 (and _let_175 _let_215))) (let ((_let_217 (_let_175 _let_215))) (let ((_let_218 (ASSUME :args (_let_175)))) (let ((_let_219 (REFL :args (_let_14)))) (let ((_let_220 (ASSUME :args (_let_215)))) (let ((_let_221 (tptp.leq _let_29 _let_17))) (let ((_let_222 (= _let_221 _let_153))) (let ((_let_223 (not _let_153))) (let ((_let_224 (tptp.leq _let_19 _let_17))) (let ((_let_225 (not _let_221))) (let ((_let_226 (or _let_225 _let_224))) (let ((_let_227 (forall ((BOUND_VARIABLE_750 $$unsorted) (BOUND_VARIABLE_752 $$unsorted)) (let ((_let_1 (tptp.star BOUND_VARIABLE_750))) (tptp.leq (tptp.multiplication _let_1 BOUND_VARIABLE_752) (tptp.addition BOUND_VARIABLE_752 (tptp.multiplication (tptp.multiplication BOUND_VARIABLE_750 _let_1) 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_let_168 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.multiplication A B) C)))) :args _let_167))) _let_168 :args (_let_21 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_166)) :args _let_164)) _let_165 :args (_let_18 false _let_13)) :args (false false _let_163 false _let_162 false _let_161 false _let_160 false _let_159 false _let_158 false _let_157 false _let_156 false _let_154 true _let_153 false _let_152 false _let_151 false _let_148 false _let_144 false _let_143 false _let_142 false _let_141 false _let_140 false _let_139 false _let_138 false _let_137 false _let_136 false _let_134 false _let_132 false _let_130 false _let_128 false _let_127 false _let_124 false _let_123 false _let_122 false _let_120 false _let_119 false _let_118 false _let_117 false _let_116 false _let_113 false _let_112 false _let_111 false _let_110 false _let_106 false _let_102 false _let_98 false _let_96 false _let_94 false _let_93 false _let_89 false _let_86 false _let_84 false _let_83 false _let_81 false _let_78 false _let_76 false _let_75 false _let_74 false _let_73 false _let_71 false _let_70 false _let_68 false _let_66 false _let_63 false _let_60 false _let_57 false _let_54 false _let_50 false _let_47 false _let_45 false _let_44 false _let_43 false _let_42 false _let_40 false _let_37 false _let_33 false _let_30 false _let_27 false _let_24 false _let_21 false _let_18)) :args (_let_13 _let_12 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_5 _let_4 _let_3 _let_2 (forall ((A $$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_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 4.42/4.69 )
% 4.42/4.69 % SZS output end Proof for KLE043+2
% 4.42/4.69 % cvc5---1.0.5 exiting
% 4.42/4.69 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------