TSTP Solution File: KLE039+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE039+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n008.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 2.50s 2.75s
% Output : Proof 2.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : KLE039+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n008.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 11:23:17 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.23/0.50 %----Proving TF0_NAR, FOF, or CNF
% 2.50/2.75 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.aRVwtoCexe/cvc5---1.0.5_14701.p...
% 2.50/2.75 ------- get file name : TPTP file name is KLE039+2
% 2.50/2.75 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14701.smt2...
% 2.50/2.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.50/2.75 % SZS status Theorem for KLE039+2
% 2.50/2.75 % SZS output start Proof for KLE039+2
% 2.50/2.75 (
% 2.50/2.75 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.star X0))) (let ((_let_2 (tptp.star _let_1))) (and (tptp.leq _let_2 _let_1) (tptp.leq _let_1 _let_2)))))))) (let ((_let_2 (forall ((A $$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 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_16 (tptp.addition tptp.one _let_15))) (let ((_let_17 (= _let_16 (tptp.addition _let_15 tptp.one)))) (let ((_let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_19 (tptp.addition tptp.one _let_18))) (let ((_let_20 (tptp.addition _let_19 _let_14))) (let ((_let_21 (= _let_14 _let_20))) (let ((_let_22 (tptp.addition _let_16 _let_14))) (let ((_let_23 (= _let_14 _let_22))) (let ((_let_24 (= _let_22 (tptp.addition _let_14 _let_16)))) (let ((_let_25 (tptp.addition _let_18 _let_14))) (let ((_let_26 (tptp.addition tptp.one _let_25))) (let ((_let_27 (= _let_20 _let_26))) (let ((_let_28 (tptp.multiplication _let_14 tptp.one))) (let ((_let_29 (tptp.leq _let_28 _let_14))) (let ((_let_30 (tptp.addition _let_15 _let_16))) (let ((_let_31 (tptp.addition tptp.one _let_30))) (let ((_let_32 (tptp.addition _let_16 _let_16))) (let ((_let_33 (= _let_32 _let_31))) (let ((_let_34 (= _let_16 _let_32))) (let ((_let_35 (= _let_14 _let_28))) (let ((_let_36 (tptp.multiplication tptp.one _let_14))) (let ((_let_37 (= _let_14 _let_36))) (let ((_let_38 (tptp.multiplication _let_25 tptp.one))) (let ((_let_39 (tptp.multiplication tptp.one tptp.one))) (let ((_let_40 (tptp.addition _let_39 _let_38))) (let ((_let_41 (= (tptp.multiplication _let_26 tptp.one) _let_40))) (let ((_let_42 (= _let_14 (tptp.addition _let_28 _let_14)))) (let ((_let_43 (tptp.addition tptp.one _let_14))) (let ((_let_44 (tptp.addition _let_14 tptp.one))) (let ((_let_45 (= _let_44 _let_43))) (let ((_let_46 (= _let_30 (tptp.addition _let_16 _let_15)))) (let ((_let_47 (tptp.addition _let_36 _let_14))) (let ((_let_48 (= (tptp.addition _let_18 _let_47) (tptp.addition (tptp.addition _let_18 _let_36) _let_14)))) (let ((_let_49 (tptp.addition _let_36 _let_39))) (let ((_let_50 (tptp.addition _let_49 _let_38))) (let ((_let_51 (= (tptp.addition _let_36 _let_40) _let_50))) (let ((_let_52 (tptp.addition _let_30 _let_14))) (let ((_let_53 (= (tptp.addition tptp.one _let_52) (tptp.addition _let_31 _let_14)))) (let ((_let_54 (= (tptp.addition _let_36 _let_44) (tptp.addition _let_47 tptp.one)))) (let ((_let_55 (tptp.multiplication _let_14 _let_14))) (let ((_let_56 (= (tptp.multiplication tptp.one _let_55) (tptp.multiplication _let_36 _let_14)))) (let ((_let_57 (= tptp.one _let_39))) (let ((_let_58 (= _let_25 _let_38))) (let ((_let_59 (tptp.multiplication _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_60 (tptp.addition _let_59 _let_15))) (let ((_let_61 (= (tptp.multiplication _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_60))) (let ((_let_62 (= (tptp.multiplication (tptp.addition tptp.one tptp.one) _let_14) (tptp.addition _let_36 _let_36)))) (let ((_let_63 (tptp.leq (tptp.addition _let_55 _let_14) _let_14))) (let ((_let_64 (= _let_50 (tptp.addition _let_38 _let_49)))) (let ((_let_65 (= _let_52 (tptp.addition _let_14 _let_30)))) (let ((_let_66 (= (tptp.addition tptp.one _let_60) (tptp.addition (tptp.addition tptp.one _let_59) _let_15)))) (let ((_let_67 (tptp.multiplication _let_14 _let_43))) (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_19 _let_14))) (let ((_let_73 (= _let_72 _let_21))) (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_4))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((tptp.star A)))) (let ((_let_81 (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_4)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or (not _let_72) _let_21 (not _let_73)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_19 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_73 false _let_74)) :args (_let_21 false _let_72 false _let_73)))) (let ((_let_83 (tptp.leq _let_16 _let_14))) (let ((_let_84 (= _let_83 _let_23))) (let ((_let_85 (_let_3))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((tptp.star A)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_84)) :args ((or (not _let_83) _let_23 (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_83 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_16 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_84 false _let_74)) :args (_let_23 false _let_83 false _let_84)))) (let ((_let_89 (_let_12))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_14 _let_18 tptp.one QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89))) _let_90 :args (_let_27 false _let_12)))) (let ((_let_93 (tptp.addition _let_18 tptp.one))) (let ((_let_94 (tptp.leq _let_93 _let_14))) (let ((_let_95 (not _let_94))) (let ((_let_96 (or _let_95 _let_29))) (let ((_let_97 (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_98 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (_let_97))) (let ((_let_100 ((tptp.addition (tptp.multiplication A B) C)))) (let ((_let_101 (= _let_19 _let_93))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_101 false _let_13)))) (let ((_let_103 (and _let_72 _let_101))) (let ((_let_104 (_let_72 _let_101))) (let ((_let_105 (ASSUME :args (_let_72)))) (let ((_let_106 (APPLY_UF tptp.leq))) (let ((_let_107 (REFL :args (_let_14)))) (let ((_let_108 (ASSUME :args (_let_101)))) (let ((_let_109 (SYMM _let_108))) (let ((_let_110 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_95 _let_29 (not _let_96)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_103)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_105 _let_108) (SCOPE (TRUE_ELIM (TRANS (CONG _let_109 _let_107 :args _let_106) (TRUE_INTRO _let_105))) :args _let_104)) :args _let_104)) :args (true _let_103)) _let_81 _let_102 :args (_let_94 false _let_72 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 tptp.one QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_99)) _let_98 :args (_let_96 false _let_97)) :args (_let_29 false _let_94 false _let_96)))) (let ((_let_111 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 ((tptp.multiplication A tptp.one)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_35 false _let_113)))) (let ((_let_118 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 ((tptp.multiplication tptp.one A)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_37 false _let_118)))) (let ((_let_123 (_let_6))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_126 (= _let_29 _let_42))) (let ((_let_127 (not _let_29))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_126)) :args ((or _let_127 _let_42 (not _let_126)))) _let_110 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_28 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_126 false _let_74)) :args (_let_42 false _let_29 false _let_126)))) (let ((_let_129 (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_45 false _let_13)))) (let ((_let_130 ((tptp.addition A (tptp.addition B C))))) (let ((_let_131 (_let_10))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (tptp.star _let_14))) (let ((_let_134 (tptp.multiplication _let_133 _let_14))) (let ((_let_135 (tptp.leq _let_134 _let_14))) (let ((_let_136 (not _let_63))) (let ((_let_137 (or _let_136 _let_135))) (let ((_let_138 (tptp.multiplication _let_133 _let_25))) (let ((_let_139 (tptp.multiplication tptp.one _let_133))) (let ((_let_140 (tptp.addition _let_139 _let_133))) (let ((_let_141 (= (tptp.addition _let_139 (tptp.addition _let_133 _let_138)) (tptp.addition _let_140 _let_138)))) (let ((_let_142 (tptp.multiplication _let_14 _let_133))) (let ((_let_143 (tptp.addition _let_142 _let_133))) (let ((_let_144 (tptp.multiplication _let_143 _let_14))) (let ((_let_145 (= (tptp.addition _let_36 (tptp.addition _let_14 _let_144)) (tptp.addition _let_47 _let_144)))) (let ((_let_146 (tptp.multiplication _let_15 _let_133))) (let ((_let_147 (= (tptp.addition _let_139 (tptp.addition _let_133 _let_146)) (tptp.addition _let_140 _let_146)))) (let ((_let_148 (tptp.multiplication _let_25 _let_133))) (let ((_let_149 (tptp.addition _let_139 _let_148))) (let ((_let_150 (= (tptp.addition _let_133 _let_149) (tptp.addition (tptp.addition _let_133 _let_139) _let_148)))) (let ((_let_151 (tptp.multiplication _let_134 _let_14))) (let ((_let_152 (tptp.addition tptp.one _let_134))) (let ((_let_153 (tptp.multiplication _let_152 _let_14))) (let ((_let_154 (tptp.addition _let_153 _let_36))) (let ((_let_155 (tptp.addition _let_36 _let_151))) (let ((_let_156 (= (tptp.addition _let_153 _let_155) (tptp.addition _let_154 _let_151)))) (let ((_let_157 (tptp.multiplication _let_16 _let_133))) (let ((_let_158 (tptp.addition _let_134 tptp.one))) (let ((_let_159 (tptp.addition _let_157 _let_143))) (let ((_let_160 (= (tptp.addition _let_158 _let_159) (tptp.addition (tptp.addition _let_158 _let_157) _let_143)))) (let ((_let_161 (tptp.addition _let_36 _let_144))) (let ((_let_162 (= (tptp.addition _let_44 _let_161) (tptp.addition (tptp.addition _let_44 _let_36) _let_144)))) (let ((_let_163 (tptp.addition _let_133 tptp.one))) (let ((_let_164 (= (tptp.addition _let_163 _let_149) (tptp.addition (tptp.addition _let_163 _let_139) _let_148)))) (let ((_let_165 (tptp.addition tptp.one _let_139))) (let ((_let_166 (= (tptp.addition tptp.one _let_140) (tptp.addition _let_165 _let_133)))) (let ((_let_167 (tptp.addition tptp.one _let_36))) (let ((_let_168 (= (tptp.addition tptp.one _let_47) (tptp.addition _let_167 _let_14)))) (let ((_let_169 (tptp.addition _let_25 tptp.one))) (let ((_let_170 (tptp.addition _let_25 _let_152))) (let ((_let_171 (= _let_170 (tptp.addition _let_169 _let_134)))) (let ((_let_172 (= (tptp.addition _let_153 _let_161) (tptp.addition _let_154 _let_144)))) (let ((_let_173 (= (tptp.addition tptp.one _let_149) (tptp.addition _let_165 _let_148)))) (let ((_let_174 (= (tptp.addition tptp.one _let_161) (tptp.addition _let_167 _let_144)))) (let ((_let_175 (tptp.addition _let_153 _let_158))) (let ((_let_176 (= _let_175 (tptp.addition _let_158 _let_153)))) (let ((_let_177 (tptp.addition _let_142 tptp.one))) (let ((_let_178 (tptp.addition _let_157 _let_177))) (let ((_let_179 (= _let_178 (tptp.addition _let_177 _let_157)))) (let ((_let_180 (= (tptp.addition _let_134 _let_14) (tptp.addition _let_14 _let_134)))) (let ((_let_181 (= _let_163 (tptp.addition tptp.one _let_133)))) (let ((_let_182 (tptp.multiplication _let_133 tptp.one))) (let ((_let_183 (= _let_133 (tptp.addition _let_182 _let_133)))) (let ((_let_184 (= _let_153 _let_155))) (let ((_let_185 (= _let_157 (tptp.addition _let_139 _let_146)))) (let ((_let_186 (= (tptp.multiplication _let_26 _let_133) _let_149))) (let ((_let_187 (tptp.addition tptp.one _let_143))) (let ((_let_188 (= (tptp.multiplication _let_187 _let_14) _let_161))) (let ((_let_189 (= (tptp.multiplication _let_133 _let_26) (tptp.addition _let_182 _let_138)))) (let ((_let_190 (= _let_133 _let_139))) (let ((_let_191 (= _let_133 _let_182))) (let ((_let_192 (= (tptp.addition tptp.one _let_170) (tptp.addition _let_26 _let_152)))) (let ((_let_193 (tptp.addition _let_157 _let_142))) (let ((_let_194 (= _let_159 (tptp.addition _let_193 _let_133)))) (let ((_let_195 (= _let_178 (tptp.addition _let_193 tptp.one)))) (let ((_let_196 (tptp.addition _let_153 _let_134))) (let ((_let_197 (= _let_175 (tptp.addition _let_196 tptp.one)))) (let ((_let_198 (tptp.addition tptp.one _let_142))) (let ((_let_199 (tptp.addition _let_133 _let_198))) (let ((_let_200 (= _let_199 (tptp.addition _let_163 _let_142)))) (let ((_let_201 (= (tptp.addition _let_14 _let_152) (tptp.addition _let_44 _let_134)))) (let ((_let_202 (= (tptp.addition _let_134 _let_187) (tptp.addition _let_158 _let_143)))) (let ((_let_203 (= _let_143 (tptp.addition _let_133 _let_142)))) (let ((_let_204 (= (tptp.addition _let_134 _let_133) (tptp.addition _let_133 _let_134)))) (let ((_let_205 (= _let_26 _let_169))) (let ((_let_206 (= (tptp.multiplication _let_22 _let_133) _let_193))) (let ((_let_207 (tptp.addition _let_152 _let_133))) (let ((_let_208 (= (tptp.multiplication _let_207 _let_14) _let_196))) (let ((_let_209 (= (tptp.multiplication _let_14 _let_207) (tptp.addition (tptp.multiplication _let_14 _let_152) _let_142)))) (let ((_let_210 (tptp.addition _let_198 _let_133))) (let ((_let_211 (= _let_210 _let_187))) (let ((_let_212 (= _let_210 _let_199))) (let ((_let_213 (= _let_133 _let_207))) (let ((_let_214 (= _let_133 _let_210))) (let ((_let_215 (= _let_152 _let_158))) (let ((_let_216 (= _let_198 _let_177))) (let ((_let_217 (tptp.leq _let_133 _let_14))) (let ((_let_218 (not _let_135))) (let ((_let_219 (tptp.leq _let_182 _let_133))) (let ((_let_220 (= _let_219 _let_183))) (let ((_let_221 (tptp.leq _let_177 _let_133))) (let ((_let_222 (not _let_221))) (let ((_let_223 (or 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(INSTANTIATE _let_98 :args (_let_14 _let_133 tptp.one QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_99)) _let_98 :args (_let_223 false _let_97)) :args (_let_219 false _let_221 false _let_223)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_182 _let_133 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_76)) _let_75 :args (_let_220 false _let_74)) :args (_let_183 false _let_219 false _let_220)) _let_128 _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.one _let_133 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69))) _let_70 :args (_let_181 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_134 _let_14 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_70 :args (_let_157 _let_177 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_179 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_153 _let_158 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_176 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_144 _let_36 tptp.one QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_174 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_148 _let_139 tptp.one QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_173 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_144 _let_36 _let_153 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_172 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_134 tptp.one _let_25 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_171 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_14 _let_36 tptp.one QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_168 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_133 _let_139 tptp.one QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_166 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_148 _let_139 _let_163 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_164 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_144 _let_36 _let_44 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_162 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_143 _let_157 _let_158 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_160 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_151 _let_36 _let_153 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_156 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_148 _let_139 _let_133 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_150 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_146 _let_133 _let_139 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89)) _let_90 :args (_let_147 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_144 _let_14 _let_36 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89)) _let_90 :args (_let_145 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_138 _let_133 _let_139 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89)) _let_90 :args (_let_141 false _let_12)) :args (_let_218 true _let_217 false _let_216 false _let_215 false _let_21 false _let_214 false _let_23 false _let_213 false _let_212 false _let_211 false _let_27 false _let_209 false _let_208 false _let_206 false _let_205 false _let_204 false _let_203 false _let_202 false _let_201 false _let_200 false _let_197 false _let_195 false _let_194 false _let_192 false _let_35 false _let_191 false _let_37 false _let_190 false _let_189 false _let_188 false _let_186 false _let_185 false _let_184 false _let_183 false _let_42 false _let_45 false _let_181 false _let_180 false _let_179 false _let_176 false _let_174 false _let_173 false _let_172 false _let_171 false _let_168 false _let_166 false _let_164 false _let_162 false _let_160 false _let_156 false _let_150 false _let_147 false _let_145 false _let_141)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_14 _let_14 _let_14 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication (tptp.star A) C) B) true))))) :args _let_99)) _let_98 :args (_let_137 false _let_97)) :args (_let_136 true _let_135 false _let_137)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.one tptp.one _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) :args _let_123)) _let_124 :args (_let_62 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_36 _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_61 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_25 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_58 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_116)) :args _let_115)) _let_114 :args (_let_57 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.one _let_14 _let_14 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.multiplication A B) C)))) :args _let_131)) _let_132 :args (_let_56 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.one _let_14 _let_36 QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89)) _let_90 :args (_let_54 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_14 _let_30 tptp.one QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89)) _let_90 :args (_let_53 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_38 _let_39 _let_36 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_51 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_14 _let_36 _let_18 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_89)) _let_90 :args (_let_48 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_15 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_46 false _let_13)) _let_129 _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (tptp.one _let_25 tptp.one QUANTIFIERS_INST_E_MATCHING _let_125)) :args _let_123)) _let_124 :args (_let_41 false _let_6)) _let_122 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_111))) _let_112 :args (_let_34 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_16 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING _let_91)) :args _let_89))) _let_90 :args (_let_33 false _let_12)) _let_110 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_16 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_24 false _let_13)) _let_88 _let_82 (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_17 false _let_13)) :args (false false _let_68 false _let_66 false _let_65 false _let_64 true _let_63 false _let_62 false _let_61 false _let_58 false _let_57 false _let_56 false _let_54 false _let_53 false _let_51 false _let_48 false _let_46 false _let_45 false _let_42 false _let_41 false _let_37 false _let_35 false _let_34 false _let_33 false _let_29 false _let_27 false _let_24 false _let_23 false _let_21 false _let_17)) :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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.59/2.76 )
% 2.59/2.76 % SZS output end Proof for KLE039+2
% 2.59/2.76 % cvc5---1.0.5 exiting
% 2.59/2.76 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------