TSTP Solution File: KLE039+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE039+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.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 05:27:01 EDT 2023
% Result : Theorem 1.19s 1.44s
% Output : Proof 1.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : KLE039+1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n024.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 11:55:07 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.23/0.51 %----Proving TF0_NAR, FOF, or CNF
% 1.19/1.44 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.zPwnAgS8HJ/cvc5---1.0.5_32219.p...
% 1.19/1.44 ------- get file name : TPTP file name is KLE039+1
% 1.19/1.44 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_32219.smt2...
% 1.19/1.44 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.19/1.44 % SZS status Theorem for KLE039+1
% 1.19/1.44 % SZS output start Proof for KLE039+1
% 1.19/1.44 (
% 1.19/1.44 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.star X0))) (= (tptp.star _let_1) _let_1)))))) (let ((_let_2 (forall ((A $$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 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.addition _let_15 tptp.one))) (let ((_let_17 (tptp.addition tptp.one _let_15))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (tptp.addition _let_17 _let_14))) (let ((_let_20 (= _let_14 _let_19))) (let ((_let_21 (= _let_19 (tptp.addition _let_14 _let_17)))) (let ((_let_22 (tptp.addition _let_17 _let_17))) (let ((_let_23 (= (tptp.addition _let_17 _let_19) (tptp.addition _let_22 _let_14)))) (let ((_let_24 (tptp.addition _let_15 _let_14))) (let ((_let_25 (tptp.addition tptp.one _let_24))) (let ((_let_26 (= _let_19 _let_25))) (let ((_let_27 (tptp.multiplication _let_14 tptp.one))) (let ((_let_28 (tptp.leq _let_27 _let_14))) (let ((_let_29 (tptp.addition _let_16 _let_24))) (let ((_let_30 (= (tptp.addition _let_15 _let_25) _let_29))) (let ((_let_31 (tptp.addition _let_22 tptp.one))) (let ((_let_32 (tptp.addition _let_31 _let_24))) (let ((_let_33 (= (tptp.addition _let_22 _let_25) _let_32))) (let ((_let_34 (tptp.addition _let_15 _let_17))) (let ((_let_35 (tptp.addition tptp.one _let_34))) (let ((_let_36 (= _let_22 _let_35))) (let ((_let_37 (= _let_17 _let_22))) (let ((_let_38 (= _let_14 _let_27))) (let ((_let_39 (tptp.multiplication tptp.one _let_14))) (let ((_let_40 (= _let_14 _let_39))) (let ((_let_41 (tptp.multiplication _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_42 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (tptp.addition _let_42 _let_41))) (let ((_let_44 (= (tptp.multiplication _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_43))) (let ((_let_45 (= _let_14 (tptp.addition _let_27 _let_14)))) (let ((_let_46 (tptp.addition tptp.one _let_14))) (let ((_let_47 (tptp.addition _let_14 tptp.one))) (let ((_let_48 (= _let_47 _let_46))) (let ((_let_49 (= _let_31 (tptp.addition tptp.one _let_22)))) (let ((_let_50 (= _let_29 (tptp.addition _let_24 _let_16)))) (let ((_let_51 (= _let_34 (tptp.addition _let_17 _let_15)))) (let ((_let_52 (= _let_32 (tptp.addition _let_24 _let_31)))) (let ((_let_53 (tptp.addition _let_34 _let_14))) (let ((_let_54 (= (tptp.addition tptp.one _let_53) (tptp.addition _let_35 _let_14)))) (let ((_let_55 (tptp.addition _let_39 _let_14))) (let ((_let_56 (= (tptp.addition _let_39 _let_47) (tptp.addition _let_55 tptp.one)))) (let ((_let_57 (= (tptp.addition _let_42 (tptp.addition _let_41 _let_17)) (tptp.addition _let_43 _let_17)))) (let ((_let_58 (tptp.multiplication _let_14 _let_14))) (let ((_let_59 (= (tptp.multiplication tptp.one _let_58) (tptp.multiplication _let_39 _let_14)))) (let ((_let_60 (= _let_24 (tptp.multiplication _let_24 tptp.one)))) (let ((_let_61 (tptp.multiplication _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (tptp.addition _let_61 _let_15))) (let ((_let_63 (= (tptp.multiplication _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_62))) (let ((_let_64 (tptp.leq (tptp.addition _let_58 _let_14) _let_14))) (let ((_let_65 (= _let_53 (tptp.addition _let_14 _let_34)))) (let ((_let_66 (= (tptp.addition tptp.one _let_62) (tptp.addition (tptp.addition tptp.one _let_61) _let_15)))) (let ((_let_67 (tptp.multiplication _let_14 _let_46))) (let ((_let_68 (= _let_14 (tptp.addition _let_67 _let_14)))) (let ((_let_69 (_let_13))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 ((tptp.addition A B)))) (let ((_let_72 (tptp.leq _let_17 _let_14))) (let ((_let_73 (= _let_72 _let_20))) (let ((_let_74 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 ((tptp.leq A B)))) (let ((_let_78 (_let_3))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((tptp.star A)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or (not _let_72) _let_20 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_72 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_17 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_73 false _let_74)) :args (_let_20 false _let_72 false _let_73)))) (let ((_let_82 (_let_12))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 ((tptp.addition A (tptp.addition B C))))) (let ((_let_85 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_14 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82))) _let_83 :args (_let_26 false _let_12)))) (let ((_let_87 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_88 (tptp.addition _let_87 tptp.one))) (let ((_let_89 (tptp.leq _let_88 _let_14))) (let ((_let_90 (not _let_89))) (let ((_let_91 (or _let_90 _let_28))) (let ((_let_92 (forall ((A $$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_93 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 ((tptp.addition (tptp.multiplication A B) C)))) (let ((_let_96 (tptp.addition tptp.one _let_87))) (let ((_let_97 (= _let_96 _let_88))) (let ((_let_98 (tptp.leq _let_96 _let_14))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.one _let_87 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_97 false _let_13)))) (let ((_let_100 (_let_4))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 ((tptp.star A)))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_102)) :args _let_100)) _let_101 :args (_let_98 false _let_4)))) (let ((_let_104 (and _let_98 _let_97))) (let ((_let_105 (_let_98 _let_97))) (let ((_let_106 (ASSUME :args (_let_98)))) (let ((_let_107 (APPLY_UF tptp.leq))) (let ((_let_108 (REFL :args (_let_14)))) (let ((_let_109 (ASSUME :args (_let_97)))) (let ((_let_110 (SYMM _let_109))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_90 _let_28 (not _let_91)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_104)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_106 _let_109) (SCOPE (TRUE_ELIM (TRANS (CONG _let_110 _let_108 :args _let_107) (TRUE_INTRO _let_106))) :args _let_105)) :args _let_105)) :args (true _let_104)) _let_103 _let_99 :args (_let_89 false _let_98 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 tptp.one QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_94)) _let_93 :args (_let_91 false _let_92)) :args (_let_28 false _let_89 false _let_91)))) (let ((_let_112 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (_let_114))) (let ((_let_117 ((tptp.multiplication A tptp.one)))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_116)) _let_115 :args (_let_38 false _let_114)))) (let ((_let_119 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_119))) (let ((_let_122 ((tptp.multiplication tptp.one A)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_40 false _let_119)))) (let ((_let_124 (_let_6))) (let ((_let_125 (ASSUME :args _let_124))) (let ((_let_126 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_127 (= _let_28 _let_45))) (let ((_let_128 (not _let_28))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_127)) :args ((or _let_128 _let_45 (not _let_127)))) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_27 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_127 false _let_74)) :args (_let_45 false _let_28 false _let_127)))) (let ((_let_130 (_let_10))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 (tptp.star _let_14))) (let ((_let_133 (tptp.multiplication _let_132 _let_14))) (let ((_let_134 (tptp.leq _let_133 _let_14))) (let ((_let_135 (not _let_64))) (let ((_let_136 (or _let_135 _let_134))) (let ((_let_137 (tptp.addition _let_133 _let_14))) (let ((_let_138 (= _let_14 _let_137))) (let ((_let_139 (= _let_134 _let_138))) (let ((_let_140 (not _let_134))) (let ((_let_141 (tptp.multiplication _let_132 _let_24))) (let ((_let_142 (tptp.multiplication tptp.one _let_132))) (let ((_let_143 (tptp.addition _let_142 _let_132))) (let ((_let_144 (= (tptp.addition _let_142 (tptp.addition _let_132 _let_141)) (tptp.addition _let_143 _let_141)))) (let ((_let_145 (tptp.addition _let_133 _let_132))) (let ((_let_146 (tptp.multiplication _let_145 _let_14))) (let ((_let_147 (= (tptp.addition _let_39 (tptp.addition _let_14 _let_146)) (tptp.addition _let_55 _let_146)))) (let ((_let_148 (tptp.multiplication _let_24 _let_132))) (let ((_let_149 (tptp.addition _let_132 tptp.one))) (let ((_let_150 (tptp.addition _let_142 _let_148))) (let ((_let_151 (= (tptp.addition _let_149 _let_150) (tptp.addition (tptp.addition _let_149 _let_142) _let_148)))) (let ((_let_152 (tptp.addition tptp.one _let_142))) (let ((_let_153 (= (tptp.addition tptp.one _let_143) (tptp.addition _let_152 _let_132)))) (let ((_let_154 (= (tptp.addition _let_133 _let_143) (tptp.addition (tptp.addition _let_133 _let_142) _let_132)))) (let ((_let_155 (= (tptp.addition tptp.one _let_150) (tptp.addition _let_152 _let_148)))) (let ((_let_156 (tptp.addition tptp.one _let_133))) (let ((_let_157 (tptp.multiplication _let_156 _let_14))) (let ((_let_158 (tptp.addition _let_133 tptp.one))) (let ((_let_159 (tptp.addition _let_157 _let_158))) (let ((_let_160 (= _let_159 (tptp.addition _let_158 _let_157)))) (let ((_let_161 (= _let_137 (tptp.addition _let_14 _let_133)))) (let ((_let_162 (tptp.multiplication _let_14 _let_132))) (let ((_let_163 (tptp.addition _let_162 tptp.one))) (let ((_let_164 (= (tptp.addition _let_163 _let_145) (tptp.addition _let_145 _let_163)))) (let ((_let_165 (= _let_149 (tptp.addition tptp.one _let_132)))) (let ((_let_166 (tptp.multiplication _let_132 tptp.one))) (let ((_let_167 (= _let_132 (tptp.addition _let_166 _let_132)))) (let ((_let_168 (tptp.addition tptp.one _let_145))) (let ((_let_169 (= (tptp.multiplication _let_168 _let_14) (tptp.addition _let_39 _let_146)))) (let ((_let_170 (= (tptp.multiplication _let_25 _let_132) _let_150))) (let ((_let_171 (= (tptp.multiplication _let_132 _let_25) (tptp.addition _let_166 _let_141)))) (let ((_let_172 (= _let_132 _let_142))) (let ((_let_173 (= _let_132 _let_166))) (let ((_let_174 (tptp.addition _let_157 _let_133))) (let ((_let_175 (= (tptp.addition _let_157 _let_145) (tptp.addition _let_174 _let_132)))) (let ((_let_176 (= _let_159 (tptp.addition _let_174 tptp.one)))) (let ((_let_177 (tptp.addition tptp.one _let_162))) (let ((_let_178 (tptp.addition _let_132 _let_177))) (let ((_let_179 (= _let_178 (tptp.addition _let_149 _let_162)))) (let ((_let_180 (= _let_145 (tptp.addition _let_132 _let_133)))) (let ((_let_181 (tptp.addition _let_156 _let_132))) (let ((_let_182 (= (tptp.multiplication _let_181 _let_14) _let_174))) (let ((_let_183 (= 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false _let_4)))) (let ((_let_200 (and _let_197 _let_189))) (let ((_let_201 (_let_197 _let_189))) (let ((_let_202 (ASSUME :args (_let_197)))) (let ((_let_203 (REFL :args (_let_132)))) (let ((_let_204 (ASSUME :args (_let_189)))) (let ((_let_205 (SYMM _let_204))) (let ((_let_206 (_let_7))) (let ((_let_207 (ASSUME :args _let_206))) (let ((_let_208 (tptp.leq _let_156 _let_132))) (let ((_let_209 (= _let_208 _let_186))) (let ((_let_210 (= _let_197 _let_187))) (let ((_let_211 (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.star X0))) (= _let_1 (tptp.star _let_1)))))) (let ((_let_212 (not _let_190))) (let ((_let_213 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_214 (or))) (let ((_let_215 (_let_212))) (let ((_let_216 (not _let_211))) (let ((_let_217 (not _let_45))) (let ((_let_218 (REFL :args (_let_217)))) (let ((_let_219 (not _let_40))) (let ((_let_220 (REFL :args (_let_219)))) (let ((_let_221 (not _let_38))) (let ((_let_222 (REFL 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_let_232 _let_230) :args (=)) (FALSE_INTRO _let_228))) :args (_let_212 _let_186 _let_183 _let_180 _let_172 _let_20 _let_26 _let_171 _let_173 _let_144 _let_167 _let_169 _let_40 _let_45 _let_38 _let_147 _let_161 _let_188 _let_182 _let_176 _let_160 _let_187 _let_185 _let_179 _let_170 _let_151 _let_165 _let_153 _let_155 _let_189 _let_175 _let_164 _let_154))) :args (_let_212 _let_189 _let_188 _let_187 _let_20 _let_186 _let_185 _let_26 _let_183 _let_182 _let_180 _let_179 _let_176 _let_175 _let_38 _let_173 _let_40 _let_172 _let_171 _let_170 _let_169 _let_45 _let_167 _let_165 _let_164 _let_161 _let_160 _let_155 _let_154 _let_153 _let_151 _let_147 _let_144))) :args (true _let_227)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_212) _let_190))) (REFL :args ((not _let_189))) (REFL :args ((not _let_188))) (REFL :args ((not _let_187))) _let_226 (REFL :args ((not _let_186))) (REFL :args ((not _let_185))) _let_224 (REFL :args ((not _let_183))) (REFL :args ((not _let_182))) (REFL :args ((not _let_180))) (REFL :args ((not _let_179))) (REFL :args ((not _let_176))) (REFL :args ((not _let_175))) _let_222 (REFL :args ((not _let_173))) _let_220 (REFL :args ((not _let_172))) (REFL :args ((not _let_171))) (REFL :args ((not _let_170))) (REFL :args ((not _let_169))) _let_218 (REFL :args ((not _let_167))) (REFL :args ((not _let_165))) (REFL :args ((not _let_164))) (REFL :args ((not _let_161))) (REFL :args ((not _let_160))) (REFL :args ((not _let_155))) (REFL :args ((not _let_154))) (REFL :args ((not _let_153))) (REFL :args ((not _let_151))) (REFL :args ((not _let_147))) (REFL :args ((not _let_144))) (REFL :args (_let_191)) :args _let_214)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_213) :args (_let_216))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_216) _let_211))) (REFL :args _let_215) :args _let_214)) _let_213 :args (_let_212 true _let_211)) _let_198 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.one _let_133 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_188 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_210)) :args ((or (not _let_197) _let_187 (not _let_210)))) _let_199 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_177 _let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_210 false _let_74)) :args (_let_187 false _let_197 false _let_210)) _let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_209)) :args ((or (not _let_208) _let_186 (not _let_209)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_208 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_156 _let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_209 false _let_74)) :args (_let_186 false _let_208 false _let_209)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_177 _let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_185 false _let_13)) _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_132 _let_133 tptp.one QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82))) _let_83 :args (_let_183 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_156 _let_132 _let_14 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_182 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_133 _let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_180 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_162 tptp.one _let_132 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_82)) _let_83 :args (_let_179 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.one _let_133 _let_157 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82)) _let_83 :args (_let_176 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_132 _let_133 _let_157 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82)) _let_83 :args (_let_175 false _let_12)) _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_116)) _let_115 :args (_let_173 false _let_114)) _let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_172 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_207 :args (_let_132 tptp.one _let_24 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_206)) _let_207 :args (_let_171 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.one _let_24 _let_132 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_170 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.one _let_145 _let_14 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_169 false _let_6)) _let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_193)) :args ((or (not _let_192) _let_167 (not _let_193)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_196)) :args ((or _let_195 _let_192 (not _let_196)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_200)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_202 _let_204) (SCOPE (TRUE_ELIM (TRANS (CONG _let_205 _let_203 :args _let_107) (TRUE_INTRO _let_202))) :args _let_201)) :args _let_201)) :args (true _let_200)) _let_199 _let_198 :args (_let_194 false _let_197 false _let_189)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_14 _let_132 tptp.one QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_94)) _let_93 :args (_let_196 false _let_92)) :args (_let_192 false _let_194 false _let_196)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_166 _let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_193 false _let_74)) :args (_let_167 false _let_192 false _let_193)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.one _let_132 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69))) _let_70 :args (_let_165 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_163 _let_145 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_164 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_133 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_161 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_157 _let_158 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_160 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_148 _let_142 tptp.one QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_82)) _let_83 :args (_let_155 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_132 _let_142 _let_133 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_82)) _let_83 :args (_let_154 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_132 _let_142 tptp.one QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_82)) _let_83 :args (_let_153 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_148 _let_142 _let_149 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_82)) _let_83 :args (_let_151 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_146 _let_14 _let_39 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82)) _let_83 :args (_let_147 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_141 _let_132 _let_142 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82)) _let_83 :args (_let_144 false _let_12)) :args (_let_191 true _let_190 false _let_189 false _let_188 false _let_187 false _let_20 false _let_186 false _let_185 false _let_26 false _let_183 false _let_182 false _let_180 false _let_179 false _let_176 false _let_175 false _let_38 false _let_173 false _let_40 false _let_172 false _let_171 false _let_170 false _let_169 false _let_45 false _let_167 false _let_165 false _let_164 false _let_161 false _let_160 false _let_155 false _let_154 false _let_153 false _let_151 false _let_147 false _let_144)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_133 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_76)) _let_75 :args (_let_139 false _let_74)) :args (_let_140 true _let_138 false _let_139)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_14 _let_14 _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication (tptp.star A) C) B) true))))) :args _let_94)) _let_93 :args (_let_136 false _let_92)) :args (_let_135 true _let_134 false _let_136)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_39 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_63 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_116)) _let_115 :args (_let_60 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (tptp.one _let_14 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.multiplication A B) C)))) :args _let_130)) _let_131 :args (_let_59 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_17 _let_41 _let_42 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82)) _let_83 :args (_let_57 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.one _let_14 _let_39 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82)) _let_83 :args (_let_56 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_14 _let_34 tptp.one QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82)) _let_83 :args (_let_54 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_31 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_52 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_15 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_51 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_16 _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_50 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_22 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_49 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.one _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69))) _let_70 :args (_let_48 false _let_13)) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (tptp.one _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_44 false _let_6)) _let_123 _let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_112))) _let_113 :args (_let_37 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_17 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_82))) _let_83 :args (_let_36 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_24 tptp.one _let_22 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_82)) _let_83 :args (_let_33 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_24 tptp.one _let_15 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_82)) _let_83 :args (_let_30 false _let_12)) _let_111 _let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (_let_14 _let_17 _let_17 QUANTIFIERS_INST_E_MATCHING _let_84)) :args _let_82)) _let_83 :args (_let_23 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_17 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_21 false _let_13)) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.one _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_18 false _let_13)) :args (false false _let_68 false _let_66 false _let_65 true _let_64 false _let_63 false _let_60 false _let_59 false _let_57 false _let_56 false _let_54 false _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_45 false _let_44 false _let_40 false _let_38 false _let_37 false _let_36 false _let_33 false _let_30 false _let_28 false _let_26 false _let_23 false _let_21 false _let_20 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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.19/1.44 )
% 1.19/1.44 % SZS output end Proof for KLE039+1
% 1.19/1.44 % cvc5---1.0.5 exiting
% 1.19/1.44 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------