TSTP Solution File: KLE141+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE141+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 05:27:23 EDT 2023
% Result : Theorem 0.74s 0.92s
% Output : Proof 0.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE141+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n002.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 : Tue Aug 29 12:13:20 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.74/0.92 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.HSJP50VphP/cvc5---1.0.5_27938.p...
% 0.74/0.92 ------- get file name : TPTP file name is KLE141+1
% 0.74/0.92 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27938.smt2...
% 0.74/0.92 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.74/0.92 % SZS status Theorem for KLE141+1
% 0.74/0.92 % SZS output start Proof for KLE141+1
% 0.74/0.92 (
% 0.74/0.92 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.strong_iteration tptp.one))) (= (tptp.multiplication _let_1 X0) _let_1)))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_15 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_17 (tptp.strong_iteration tptp.one))) (let ((_let_18 (= _let_17 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_19 (tptp.multiplication _let_17 tptp.zero))) (let ((_let_20 (tptp.star tptp.one))) (let ((_let_21 (tptp.addition _let_20 _let_19))) (let ((_let_22 (= _let_17 _let_21))) (let ((_let_23 (= _let_21 (tptp.addition _let_19 _let_20)))) (let ((_let_24 (tptp.multiplication tptp.one _let_17))) (let ((_let_25 (= _let_17 _let_24))) (let ((_let_26 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (tptp.addition _let_27 _let_26))) (let ((_let_29 (= (tptp.multiplication _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_28))) (let ((_let_30 (tptp.multiplication _let_19 tptp.zero))) (let ((_let_31 (tptp.multiplication _let_20 tptp.zero))) (let ((_let_32 (tptp.addition _let_31 _let_30))) (let ((_let_33 (= (tptp.multiplication _let_21 tptp.zero) _let_32))) (let ((_let_34 (tptp.multiplication _let_20 tptp.one))) (let ((_let_35 (tptp.addition tptp.one _let_34))) (let ((_let_36 (= _let_20 _let_35))) (let ((_let_37 (tptp.addition _let_34 tptp.one))) (let ((_let_38 (= _let_35 _let_37))) (let ((_let_39 (= _let_28 (tptp.addition _let_26 _let_27)))) (let ((_let_40 (tptp.multiplication tptp.one _let_19))) (let ((_let_41 (= _let_40 (tptp.multiplication _let_24 tptp.zero)))) (let ((_let_42 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (= _let_26 (tptp.multiplication _let_17 _let_42)))) (let ((_let_44 (tptp.multiplication tptp.zero tptp.zero))) (let ((_let_45 (tptp.multiplication _let_17 _let_44))) (let ((_let_46 (= _let_30 _let_45))) (let ((_let_47 (tptp.multiplication _let_17 tptp.one))) (let ((_let_48 (= _let_17 _let_47))) (let ((_let_49 (= _let_20 _let_34))) (let ((_let_50 (tptp.multiplication tptp.one _let_20))) (let ((_let_51 (= _let_20 _let_50))) (let ((_let_52 (tptp.multiplication _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (tptp.multiplication _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (tptp.addition _let_53 _let_52))) (let ((_let_55 (= (tptp.multiplication _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_54))) (let ((_let_56 (= (tptp.addition _let_40 tptp.one) (tptp.addition tptp.one _let_40)))) (let ((_let_57 (tptp.addition (tptp.addition _let_27 _let_53) _let_52))) (let ((_let_58 (= (tptp.addition _let_27 _let_54) _let_57))) (let ((_let_59 (tptp.addition _let_50 tptp.zero))) (let ((_let_60 (= _let_50 _let_59))) (let ((_let_61 (= (tptp.multiplication tptp.one _let_45) (tptp.multiplication _let_24 _let_44)))) (let ((_let_62 (tptp.multiplication tptp.one tptp.zero))) (let ((_let_63 (= (tptp.multiplication _let_17 _let_62) (tptp.multiplication _let_47 tptp.zero)))) (let ((_let_64 (= (tptp.multiplication _let_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.multiplication tptp.one _let_26)))) (let ((_let_65 (tptp.multiplication tptp.one tptp.one))) (let ((_let_66 (= tptp.one _let_65))) (let ((_let_67 (= _let_40 (tptp.multiplication _let_40 tptp.one)))) (let ((_let_68 (= tptp.zero _let_62))) (let ((_let_69 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_70 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_69))) (let ((_let_71 (= tptp.zero _let_42))) (let ((_let_72 (= tptp.zero _let_44))) (let ((_let_73 (tptp.star tptp.zero))) (let ((_let_74 (tptp.multiplication tptp.zero _let_73))) (let ((_let_75 (= _let_73 (tptp.addition tptp.one _let_74)))) (let ((_let_76 (= _let_73 (tptp.addition tptp.one (tptp.multiplication _let_73 tptp.zero))))) (let ((_let_77 (= _let_65 (tptp.addition _let_65 tptp.zero)))) (let ((_let_78 (= tptp.one (tptp.addition tptp.one tptp.one)))) (let ((_let_79 (= _let_59 (tptp.addition _let_59 _let_59)))) (let ((_let_80 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_81 (= (tptp.addition _let_26 _let_69) (tptp.multiplication (tptp.addition _let_19 tptp.one) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_82 (= tptp.zero _let_74))) (let ((_let_83 (= _let_45 (tptp.addition tptp.one _let_45)))) (let ((_let_84 (= tptp.one _let_37))) (let ((_let_85 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.strong_iteration tptp.one))) (= _let_1 (tptp.multiplication _let_1 X0)))))) (let ((_let_86 (not _let_18))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (or))) (let ((_let_89 (_let_86))) (let ((_let_90 (not _let_85))) (let ((_let_91 (_let_3))) (let ((_let_92 (ASSUME :args _let_91))) (let ((_let_93 (_let_16))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 ((tptp.addition A B)))) (let ((_let_96 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 ((tptp.multiplication tptp.one A)))) (let ((_let_100 (_let_9))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_103 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_104 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_105 (_let_103))) (let ((_let_106 ((tptp.star A)))) (let ((_let_107 (_let_12))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_110 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_111 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_111))) (let ((_let_114 ((tptp.multiplication A tptp.one)))) (let ((_let_115 (_let_15))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_118 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_119 (_let_117))) (let ((_let_120 ((tptp.addition A tptp.zero)))) (let ((_let_121 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_113)) _let_112 :args (_let_66 false _let_111)))) (let ((_let_122 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (_let_122))) (let ((_let_125 ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_125)) :args _let_124)) _let_123 :args (_let_72 false _let_122)))) (let ((_let_127 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication A _let_1))))))) (let ((_let_128 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_65 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_120)) :args _let_119)) _let_118 :args (_let_77 false _let_117)))) (let ((_let_130 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (_let_130))) (let ((_let_133 ((tptp.addition A A)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_133)) :args _let_132)) _let_131 :args (_let_78 false _let_130)))) (let ((_let_135 (tptp.leq tptp.one _let_45))) (let ((_let_136 (= _let_135 _let_83))) (let ((_let_137 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (_let_137))) (let ((_let_140 ((tptp.leq A B)))) (let ((_let_141 (tptp.addition _let_65 _let_44))) (let ((_let_142 (tptp.leq tptp.one _let_141))) (let ((_let_143 (not _let_142))) (let ((_let_144 (or _let_143 _let_135))) (let ((_let_145 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq C (tptp.addition (tptp.multiplication A C) B))) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 (= _let_141 (tptp.addition tptp.one _let_141)))) (let ((_let_148 (= _let_142 _let_147))) (let ((_let_149 (not _let_78))) (let ((_let_150 (not _let_77))) (let ((_let_151 (not _let_72))) (let ((_let_152 (not _let_66))) (let ((_let_153 (and _let_66 _let_72 _let_77 _let_78))) (let ((_let_154 (true _let_153))) (let ((_let_155 (_let_66 _let_72 _let_77 _let_78))) (let ((_let_156 (APPLY_UF tptp.addition))) (let ((_let_157 (ASSUME :args (_let_72)))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (ASSUME :args (_let_66)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (CONG _let_161 (SYMM _let_158) :args _let_156))) (let ((_let_163 (REFL :args (tptp.zero)))) (let ((_let_164 (CONG _let_160 _let_163 :args _let_156))) (let ((_let_165 (ASSUME :args (_let_77)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (REFL :args (tptp.one)))) (let ((_let_168 (ASSUME :args (_let_78)))) (let ((_let_169 (SYMM _let_168))) (let ((_let_170 (CNF_AND_NEG :args (_let_153)))) (let ((_let_171 (tptp.leq _let_34 tptp.one))) (let ((_let_172 (= _let_171 _let_84))) (let ((_let_173 (tptp.addition _let_65 tptp.one))) (let ((_let_174 (tptp.leq _let_173 tptp.one))) (let ((_let_175 (not _let_174))) (let ((_let_176 (or _let_175 _let_171))) (let ((_let_177 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A C) B) C)) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_178 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_179 (= tptp.one (tptp.addition _let_173 tptp.one)))) (let ((_let_180 (= _let_174 _let_179))) (let ((_let_181 (CONG _let_159 _let_163 :args _let_156))) (let ((_let_182 (CONG _let_160 _let_158 :args _let_156))) (let ((_let_183 (SYMM _let_181))) (let ((_let_184 (= _let_52 _let_57))) (let ((_let_185 (not _let_184))) (let ((_let_186 (ASSUME :args (_let_58)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (ASSUME :args (_let_55)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (APPLY_UF tptp.multiplication))) (let ((_let_191 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_192 (ASSUME :args (_let_33)))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (ASSUME :args (_let_22)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (ASSUME :args (_let_25)))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (CONG _let_197 _let_163 :args _let_190))) (let ((_let_199 (ASSUME :args (_let_41)))) (let ((_let_200 (SYMM _let_199))) (let ((_let_201 (SYMM _let_200))) (let ((_let_202 (TRANS _let_201 _let_198))) (let ((_let_203 (CONG _let_202 _let_191 :args _let_190))) (let ((_let_204 (ASSUME :args (_let_51)))) (let ((_let_205 (SYMM _let_204))) (let ((_let_206 (CONG _let_205 _let_191 :args _let_190))) (let ((_let_207 (SYMM _let_203))) (let ((_let_208 (SYMM _let_206))) (let ((_let_209 (ASSUME :args (_let_39)))) (let ((_let_210 (ASSUME :args (_let_43)))) (let ((_let_211 (SYMM (SYMM _let_210)))) (let 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(_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_113)) _let_112 :args (_let_49 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_113)) _let_112 :args (_let_48 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_17 tptp.zero tptp.zero QUANTIFIERS_INST_E_MATCHING _let_110)) :args _let_107))) _let_108 :args (_let_46 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_17 tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_110)) :args _let_107))) _let_108 :args (_let_43 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (tptp.one _let_17 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_109)) :args _let_107)) _let_108 :args (_let_41 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_27 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_39 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (tptp.one _let_34 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_38 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_106)) :args _let_105)) _let_104 :args (_let_36 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_20 _let_19 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_100)) _let_101 :args (_let_33 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_20 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_102)) :args _let_100)) _let_101 :args (_let_29 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_25 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_20 _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_93)) _let_94 :args (_let_23 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_91)) _let_92 :args (_let_22 false _let_3)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_87) :args (_let_90))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_85))) (REFL :args _let_89) :args _let_88)) _let_87 :args (_let_86 true _let_85)) :args (false false _let_84 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_77 false _let_76 false _let_75 false _let_72 false _let_71 false _let_70 false _let_68 false _let_67 false _let_66 false _let_64 false _let_63 false _let_61 false _let_60 false _let_58 false _let_56 false _let_55 false _let_51 false _let_49 false _let_48 false _let_46 false _let_43 false _let_41 false _let_39 false _let_38 false _let_36 false _let_33 false _let_29 false _let_25 false _let_23 false _let_22 true _let_18)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))) _let_4 _let_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.74/0.93 )
% 0.74/0.93 % SZS output end Proof for KLE141+1
% 0.74/0.93 % cvc5---1.0.5 exiting
% 0.74/0.93 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------