TSTP Solution File: KLE040+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE040+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n001.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 05:27:02 EDT 2023
% Result : Theorem 0.75s 0.98s
% Output : Proof 0.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE040+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 11:53:37 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.75/0.98 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.ldpWD3rscx/cvc5---1.0.5_1383.p...
% 0.75/0.98 ------- get file name : TPTP file name is KLE040+2
% 0.75/0.98 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_1383.smt2...
% 0.75/0.98 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.75/0.98 % SZS status Theorem for KLE040+2
% 0.75/0.98 % SZS output start Proof for KLE040+2
% 0.75/0.98 (
% 0.75/0.98 (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.star X0))) (let ((_let_2 (tptp.multiplication _let_1 _let_1))) (and (tptp.leq _let_2 _let_1) (tptp.leq _let_1 _let_2)))))))) (let ((_let_2 (forall ((A $$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 $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_11 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_13 (forall ((BOUND_VARIABLE_753 $$unsorted)) (let ((_let_1 (tptp.star BOUND_VARIABLE_753))) (tptp.leq _let_1 (tptp.multiplication _let_1 _let_1)))))) (let ((_let_14 (forall ((BOUND_VARIABLE_746 $$unsorted)) (let ((_let_1 (tptp.star BOUND_VARIABLE_746))) (tptp.leq (tptp.multiplication _let_1 _let_1) _let_1))))) (let ((_let_15 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_16 (tptp.multiplication _let_15 _let_15))) (let ((_let_17 (tptp.leq _let_15 _let_16))) (let ((_let_18 (= _let_16 (tptp.addition _let_15 _let_16)))) (let ((_let_19 (= _let_17 _let_18))) (let ((_let_20 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_21 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_22 (_let_20))) (let ((_let_23 ((tptp.leq A B)))) (let ((_let_24 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15))) (let ((_let_25 (tptp.addition _let_24 _let_15))) (let ((_let_26 (tptp.multiplication _let_25 _let_15))) (let ((_let_27 (tptp.multiplication tptp.one _let_15))) (let ((_let_28 (tptp.addition _let_27 _let_26))) (let ((_let_29 (= (tptp.addition _let_15 _let_28) (tptp.addition (tptp.addition _let_15 _let_27) _let_26)))) (let ((_let_30 (tptp.multiplication _let_15 tptp.one))) (let ((_let_31 (= _let_15 (tptp.addition _let_30 _let_15)))) (let ((_let_32 (tptp.addition tptp.one _let_25))) (let ((_let_33 (= (tptp.multiplication _let_32 _let_15) _let_28))) (let ((_let_34 (= _let_15 _let_27))) (let ((_let_35 (= _let_15 _let_30))) (let ((_let_36 (tptp.addition tptp.one _let_24))) (let ((_let_37 (tptp.addition _let_36 _let_15))) (let ((_let_38 (= _let_37 _let_32))) (let ((_let_39 (tptp.addition tptp.one (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_40 (= _let_15 (tptp.addition _let_39 _let_15)))) (let ((_let_41 (= _let_15 _let_37))) (let ((_let_42 (_let_11))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 ((tptp.addition A (tptp.addition B C))))) (let ((_let_45 (tptp.leq _let_30 _let_15))) (let ((_let_46 (= _let_45 _let_31))) (let ((_let_47 (tptp.addition _let_24 tptp.one))) (let ((_let_48 (tptp.leq _let_47 _let_15))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_45))) (let ((_let_51 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A B) C) B)) (tptp.leq (tptp.multiplication (tptp.star A) C) B))))) (let ((_let_52 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_53 (_let_51))) (let ((_let_54 (= _let_36 _let_47))) (let ((_let_55 (tptp.leq _let_36 _let_15))) (let ((_let_56 (_let_12))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 ((tptp.addition A B)))) (let ((_let_59 (_let_4))) (let ((_let_60 (ASSUME :args _let_59))) (let ((_let_61 ((tptp.star A)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_55 false _let_4)))) (let ((_let_63 (and _let_55 _let_54))) (let ((_let_64 (_let_55 _let_54))) (let ((_let_65 (ASSUME :args (_let_55)))) (let ((_let_66 (APPLY_UF tptp.leq))) (let ((_let_67 (REFL :args (_let_15)))) (let ((_let_68 (ASSUME :args (_let_54)))) (let ((_let_69 (_let_6))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_74 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_75 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_76 (tptp.leq _let_39 _let_15))) (let ((_let_77 (= _let_76 _let_40))) (let ((_let_78 (_let_3))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((tptp.star A)))) (let ((_let_81 (= _let_55 _let_41))) (let ((_let_82 (and _let_41 _let_40 _let_38 _let_35 _let_34 _let_33 _let_31 _let_29))) (let ((_let_83 (APPLY_UF tptp.addition))) (let ((_let_84 (ASSUME :args (_let_40)))) (let ((_let_85 (APPLY_UF tptp.multiplication))) (let ((_let_86 (ASSUME :args (_let_41)))) (let ((_let_87 (ASSUME :args (_let_38)))) (let ((_let_88 (CONG (TRANS (SYMM _let_87) (SYMM _let_86)) _let_67 :args _let_85))) (let ((_let_89 (ASSUME :args (_let_33)))) (let ((_let_90 (ASSUME :args (_let_29)))) (let ((_let_91 (REFL :args (_let_26)))) (let ((_let_92 (ASSUME :args (_let_34)))) (let ((_let_93 (SYMM _let_92))) (let ((_let_94 (ASSUME :args (_let_35)))) (let ((_let_95 (SYMM _let_94))) (let ((_let_96 (ASSUME :args (_let_31)))) (let ((_let_97 (or))) (let ((_let_98 (not _let_13))) (let ((_let_99 (_let_98))) (let ((_let_100 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_101 (tptp.leq (tptp.multiplication _let_100 _let_100) _let_100))) (let ((_let_102 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_100))) (let ((_let_103 (tptp.addition _let_102 _let_100))) (let ((_let_104 (tptp.leq _let_103 _let_100))) (let ((_let_105 (not _let_104))) (let ((_let_106 (or _let_105 _let_101))) (let ((_let_107 (= _let_103 (tptp.addition _let_103 _let_103)))) (let ((_let_108 (tptp.multiplication _let_100 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_109 (tptp.addition _let_108 _let_100))) (let ((_let_110 (tptp.addition _let_100 _let_103))) (let ((_let_111 (= (tptp.addition _let_108 _let_110) (tptp.addition _let_109 _let_103)))) (let ((_let_112 (tptp.leq _let_100 _let_103))) (let ((_let_113 (tptp.addition _let_100 _let_100))) (let ((_let_114 (= _let_100 _let_113))) (let ((_let_115 (tptp.addition _let_100 _let_102))) (let ((_let_116 (tptp.addition tptp.one _let_108))) (let ((_let_117 (tptp.addition _let_116 _let_115))) (let ((_let_118 (= _let_117 (tptp.addition tptp.one (tptp.addition _let_108 _let_115))))) (let ((_let_119 (tptp.addition _let_108 tptp.one))) (let ((_let_120 (tptp.addition tptp.one _let_103))) (let ((_let_121 (= (tptp.addition _let_108 _let_120) (tptp.addition _let_119 _let_103)))) (let ((_let_122 (tptp.addition _let_100 _let_108))) (let ((_let_123 (tptp.addition _let_116 _let_122))) (let ((_let_124 (= _let_123 (tptp.addition _let_122 _let_116)))) (let ((_let_125 (tptp.addition _let_116 _let_100))) (let ((_let_126 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_125) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_116) _let_102)))) (let ((_let_127 (= _let_117 (tptp.addition _let_125 _let_102)))) (let ((_let_128 (= _let_123 (tptp.addition _let_125 _let_108)))) (let ((_let_129 (tptp.addition tptp.one _let_102))) (let ((_let_130 (tptp.addition _let_129 _let_100))) (let ((_let_131 (= _let_130 _let_120))) (let ((_let_132 (= _let_125 (tptp.addition tptp.one _let_109)))) (let ((_let_133 (tptp.addition _let_103 _let_100))) (let ((_let_134 (= _let_133 (tptp.addition _let_102 _let_113)))) (let ((_let_135 (= _let_133 _let_110))) (let ((_let_136 (= _let_100 _let_125))) (let ((_let_137 (= _let_100 _let_130))) (let ((_let_138 (= _let_109 _let_122))) (let ((_let_139 (= _let_103 _let_115))) (let ((_let_140 (= _let_116 _let_119))) (let ((_let_141 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_142 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (_let_141))) (let ((_let_144 ((tptp.addition A A)))) (let ((_let_145 (= _let_103 _let_110))) (let ((_let_146 (= _let_112 _let_145))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (_let_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) _let_142 :args (_let_114 false _let_141)))) (let ((_let_148 (_let_7))) (let ((_let_149 (ASSUME :args _let_148))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_149 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_116 _let_100 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_148)) _let_149 :args (_let_126 false _let_7)))) (let ((_let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_100 _let_100 _let_102 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_42))) _let_43 :args (_let_134 false _let_11)))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_103 _let_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_135 false _let_12)))) (let ((_let_153 (tptp.leq _let_116 _let_100))) (let ((_let_154 (= _let_153 _let_136))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_154)) :args ((or (not _let_153) _let_136 (not _let_154)))) (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_153 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_116 _let_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22)) _let_21 :args (_let_154 false _let_20)) :args (_let_136 false _let_153 false _let_154)))) (let ((_let_156 (not _let_114))) (let ((_let_157 (not _let_126))) (let ((_let_158 (not _let_134))) (let ((_let_159 (not _let_135))) (let ((_let_160 (not _let_136))) (let ((_let_161 (and _let_136 _let_135 _let_134 _let_126 _let_114))) (let ((_let_162 (ASSUME :args (_let_135)))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (ASSUME :args (_let_134)))) (let ((_let_165 (SYMM (SYMM _let_164)))) (let ((_let_166 (REFL :args (_let_113)))) (let ((_let_167 (ASSUME :args (_let_136)))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (ASSUME :args (_let_126)))) (let ((_let_170 (TRANS (SYMM _let_169) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_168 :args _let_85)))) (let ((_let_171 (ASSUME :args (_let_114)))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (SYMM _let_170))) (let ((_let_174 (tptp.leq _let_129 _let_100))) (let ((_let_175 (= _let_174 _let_137))) (let ((_let_176 (and _let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_132 _let_131 _let_128 _let_127 _let_126 _let_124 _let_121 _let_118 _let_114 _let_112 _let_111 _let_107))) (let ((_let_177 (ASSUME :args (_let_112)))) (let ((_let_178 (ASSUME :args (_let_139)))) (let ((_let_179 (SYMM _let_178))) (let ((_let_180 (CONG _let_168 (REFL :args (_let_102)) :args _let_83))) (let ((_let_181 (ASSUME :args (_let_127)))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (ASSUME :args (_let_140)))) (let ((_let_185 (CONG (SYMM _let_184) _let_178 :args _let_83))) (let ((_let_186 (ASSUME :args (_let_121)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (SYMM _let_187))) (let ((_let_189 (ASSUME :args (_let_131)))) (let ((_let_190 (ASSUME :args (_let_137)))) (let ((_let_191 (REFL :args (_let_108)))) (let ((_let_192 (CONG _let_191 (TRANS (SYMM (SYMM _let_190)) (SYMM (SYMM _let_189))) :args _let_83))) (let ((_let_193 (TRANS _let_192 _let_188 _let_185 _let_183 _let_180 _let_179))) (let ((_let_194 (REFL :args (_let_100)))) (let ((_let_195 (SYMM _let_192))) (let ((_let_196 (SYMM _let_185))) (let ((_let_197 (ASSUME :args (_let_118)))) (let ((_let_198 (ASSUME :args (_let_138)))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (SYMM _let_180))) (let ((_let_201 (CONG _let_191 (TRANS _let_163 _let_165 (CONG _let_173 _let_166 :args _let_83) (CONG _let_170 _let_172 :args _let_83) _let_178 _let_200 _let_182 _let_196 _let_187 _let_195 _let_198) :args _let_83))) (let ((_let_202 (ASSUME :args (_let_111)))) (let ((_let_203 (SYMM _let_193))) (let ((_let_204 (CONG _let_203 _let_193 :args _let_83))) (let ((_let_205 (CONG (REFL :args (_let_103)) _let_203 :args _let_83))) (let ((_let_206 (ASSUME :args (_let_107)))) (let ((_let_207 (SYMM _let_206))) (let ((_let_208 (CONG (REFL :args (tptp.one)) (TRANS _let_192 _let_188 _let_185 _let_183 _let_180 _let_179 (SYMM _let_207) _let_205 _let_204 (SYMM _let_202) _let_201 (CONG _let_191 (TRANS _let_199 _let_192 _let_188 _let_185 _let_183 _let_180) :args _let_83)) :args _let_83))) (let ((_let_209 (ASSUME :args (_let_132)))) (let ((_let_210 (SYMM _let_209))) (let ((_let_211 (TRANS _let_167 (SYMM _let_210) _let_208 (SYMM _let_197) _let_196 _let_187 _let_195))) (let ((_let_212 (TRANS (SYMM _let_201) _let_202 (SYMM _let_204) (SYMM _let_205) _let_207 _let_178 _let_200 _let_182 _let_196 _let_187 _let_195))) (let ((_let_213 (TRANS _let_178 _let_200 _let_182 _let_197 (SYMM _let_208) _let_210 _let_168))) (let ((_let_214 (ASSUME :args (_let_128)))) (let ((_let_215 (ASSUME :args (_let_124)))) (let ((_let_216 (TRANS (TRANS (CONG _let_198 (REFL :args (_let_116)) :args _let_83) (SYMM _let_215) (SYMM (SYMM _let_214)) (CONG _let_168 _let_191 :args _let_83) _let_199) _let_193))) (let ((_let_217 (not _let_14))) (let ((_let_218 (_let_217))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (NOT_AND (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_218)) :args _let_218)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_217) _let_14))) (REFL :args ((not _let_101))) :args _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_101 _let_105 (not _let_106)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_176)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_177 _let_178 _let_167 _let_181 _let_184 _let_186 _let_189 _let_190 _let_209 _let_206 _let_202 _let_162 _let_164 _let_169 _let_171 _let_198 _let_197 _let_214 _let_215) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_216) _let_194 :args _let_66) (CONG _let_216 (SYMM _let_213) :args _let_66) (CONG (TRANS _let_203 (SYMM _let_212)) _let_213 :args _let_66) (CONG (TRANS _let_212 (SYMM _let_211)) _let_211 :args _let_66) (CONG _let_194 _let_193 :args _let_66) (TRUE_INTRO _let_177))) :args (_let_112 _let_139 _let_136 _let_127 _let_140 _let_121 _let_131 _let_137 _let_132 _let_107 _let_111 _let_135 _let_134 _let_126 _let_114 _let_138 _let_118 _let_128 _let_124))) :args (_let_140 _let_139 _let_138 _let_137 _let_136 _let_135 _let_134 _let_132 _let_131 _let_128 _let_127 _let_126 _let_124 _let_121 _let_118 _let_114 _let_112 _let_111 _let_107))) :args (true _let_176)) :args ((or _let_104 (not _let_140) (not _let_139) (not _let_138) (not _let_137) _let_160 _let_159 _let_158 (not _let_132) (not _let_131) (not _let_128) (not _let_127) _let_157 (not _let_124) (not _let_121) (not _let_118) _let_156 (not _let_112) (not _let_111) (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.one _let_108 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_140 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_102 _let_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_139 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (_let_108 _let_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_138 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_175)) :args ((or (not _let_174) _let_137 (not _let_175)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_61)) :args _let_59)) _let_60 :args (_let_174 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_129 _let_100 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22)) _let_21 :args (_let_175 false _let_20)) :args (_let_137 false _let_174 false _let_175)) _let_155 _let_152 _let_151 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_100 _let_108 tptp.one QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_42))) _let_43 :args (_let_132 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_100 _let_102 tptp.one QUANTIFIERS_INST_E_MATCHING 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_let_75)) :args _let_42))) _let_43 :args (_let_118 false _let_11)) _let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_146)) :args ((or _let_112 (not _let_145) (not _let_146)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_161)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_162 _let_164 _let_167 _let_169 _let_171) (SCOPE (TRANS (CONG _let_173 (SYMM _let_172) :args _let_83) (CONG _let_170 _let_166 :args _let_83) (SYMM _let_165) (SYMM _let_163)) :args (_let_135 _let_134 _let_136 _let_126 _let_114))) :args (_let_136 _let_135 _let_134 _let_126 _let_114))) :args (true _let_161)) :args ((or _let_160 _let_159 _let_158 _let_157 _let_145 _let_156))) _let_155 _let_152 _let_151 _let_150 _let_147 :args (_let_145 false _let_136 false _let_135 false _let_134 false _let_126 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_100 _let_103 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_22)) _let_21 :args (_let_146 false _let_20)) :args (_let_112 false _let_145 false _let_146)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_103 _let_100 _let_108 QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_42)) _let_43 :args (_let_111 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (_let_103 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_144)) :args _let_143)) _let_142 :args (_let_107 false _let_141)) :args (_let_104 false _let_140 false _let_139 false _let_138 false _let_137 false _let_136 false _let_135 false _let_134 false _let_132 false _let_131 false _let_128 false _let_127 false _let_126 false _let_124 false _let_121 false _let_118 false _let_114 false _let_112 false _let_111 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_100 _let_100 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication (tptp.star A) C) B) true))))) :args _let_53)) _let_52 :args (_let_106 false _let_51)) :args (_let_101 false _let_104 false _let_106)) :args (_let_14 false _let_101)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_13))) (REFL :args ((not _let_17))) :args _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_19)) :args ((or _let_17 (not _let_18) (not _let_19)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_82)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_84 _let_86 _let_87 _let_89 _let_90 _let_94 _let_92 _let_96) (SCOPE (TRANS (SYMM _let_88) _let_89 (CONG (TRANS _let_93 _let_94) _let_91 :args _let_83) (CONG (TRANS _let_95 (TRANS (SYMM (SYMM _let_96)) (CONG _let_95 (SYMM _let_93) :args _let_83))) _let_91 :args _let_83) (SYMM _let_90) (CONG _let_84 (TRANS (SYMM _let_89) _let_88) :args _let_83) (CONG (SYMM _let_84) (REFL :args (_let_16)) :args _let_83)) :args (_let_40 _let_41 _let_38 _let_33 _let_29 _let_35 _let_34 _let_31))) :args (_let_41 _let_40 _let_38 _let_35 _let_34 _let_33 _let_31 _let_29))) :args (true _let_82)) :args ((or _let_18 (not _let_41) (not _let_40) (not _let_38) (not _let_35) (not _let_34) (not _let_33) (not _let_31) (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or (not _let_55) _let_41 (not _let_81)))) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_36 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22)) _let_21 :args (_let_81 false _let_20)) :args (_let_41 false _let_55 false _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_77)) :args ((or (not _let_76) _let_40 (not _let_77)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_76 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_39 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22)) _let_21 :args (_let_77 false _let_20)) :args (_let_40 false _let_76 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_15 _let_24 tptp.one QUANTIFIERS_INST_E_MATCHING _let_75)) :args _let_42))) _let_43 :args (_let_38 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_73))) _let_74 :args (_let_35 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication tptp.one A)))) :args (_let_71))) _let_72 :args (_let_34 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.one _let_25 _let_15 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.addition A B) C)))) :args _let_69)) _let_70 :args (_let_33 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_46)) :args ((or (not _let_45) _let_31 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_49 _let_45 (not _let_50)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_68) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_68) _let_67 :args _let_66) (TRUE_INTRO _let_65))) :args _let_64)) :args _let_64)) :args (true _let_63)) _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.one _let_24 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_58)) :args _let_56)) _let_57 :args (_let_54 false _let_12)) :args (_let_48 false _let_55 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) C)))) :args _let_53)) _let_52 :args (_let_50 false _let_51)) :args (_let_45 false _let_48 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_30 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22)) _let_21 :args (_let_46 false _let_20)) :args (_let_31 false _let_45 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_26 _let_27 _let_15 QUANTIFIERS_INST_E_MATCHING _let_44)) :args _let_42)) _let_43 :args (_let_29 false _let_11)) :args (_let_18 false _let_41 false _let_40 false _let_38 false _let_35 false _let_34 false _let_33 false _let_31 false _let_29)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (_let_15 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_23)) :args _let_22)) _let_21 :args (_let_19 false _let_20)) :args (_let_17 false _let_18 false _let_19)) :args (_let_13 false _let_17)) :args (false false _let_14 false _let_13)) :args (_let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.75/0.99 )
% 0.75/0.99 % SZS output end Proof for KLE040+2
% 0.75/0.99 % cvc5---1.0.5 exiting
% 0.75/0.99 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------