TSTP Solution File: KLE038+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE038+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 05:27:01 EDT 2023
% Result : Theorem 0.71s 0.96s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE038+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n002.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 11:34:35 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.71/0.96 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.MbVw1lf25A/cvc5---1.0.5_16021.p...
% 0.71/0.96 ------- get file name : TPTP file name is KLE038+1
% 0.71/0.96 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_16021.smt2...
% 0.71/0.96 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.71/0.96 % SZS status Theorem for KLE038+1
% 0.71/0.96 % SZS output start Proof for KLE038+1
% 0.71/0.96 (
% 0.71/0.96 (let ((_let_1 (forall ((X0 $$unsorted)) (tptp.leq X0 (tptp.star X0))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$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_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_5 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (tptp.leq (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_8 (forall ((A $$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 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_14 (= _let_13 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13)))) (let ((_let_15 (tptp.multiplication _let_13 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_13))) (let ((_let_20 (= _let_13 _let_19))) (let ((_let_21 (tptp.addition _let_17 _let_17))) (let ((_let_22 (= (tptp.addition _let_17 _let_19) (tptp.addition _let_21 _let_13)))) (let ((_let_23 (tptp.addition _let_15 _let_13))) (let ((_let_24 (tptp.addition tptp.one _let_23))) (let ((_let_25 (= _let_19 _let_24))) (let ((_let_26 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (tptp.addition _let_26 _let_15))) (let ((_let_28 (= (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_27))) (let ((_let_29 (= _let_23 (tptp.addition _let_13 _let_15)))) (let ((_let_30 (tptp.addition _let_16 _let_23))) (let ((_let_31 (= (tptp.addition _let_15 _let_24) _let_30))) (let ((_let_32 (tptp.addition _let_21 tptp.one))) (let ((_let_33 (tptp.addition _let_32 _let_23))) (let ((_let_34 (= (tptp.addition _let_21 _let_24) _let_33))) (let ((_let_35 (tptp.addition _let_26 _let_23))) (let ((_let_36 (= _let_35 (tptp.addition _let_27 _let_13)))) (let ((_let_37 (tptp.addition _let_15 _let_17))) (let ((_let_38 (tptp.addition tptp.one _let_37))) (let ((_let_39 (= _let_21 _let_38))) (let ((_let_40 (= _let_17 _let_21))) (let ((_let_41 (tptp.multiplication _let_13 tptp.one))) (let ((_let_42 (= _let_13 _let_41))) (let ((_let_43 (tptp.multiplication tptp.one _let_13))) (let ((_let_44 (= _let_13 _let_43))) (let ((_let_45 (tptp.multiplication _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_46 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_47 (tptp.addition _let_46 _let_45))) (let ((_let_48 (= (tptp.multiplication _let_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_47))) (let ((_let_49 (= _let_13 (tptp.addition _let_41 _let_13)))) (let ((_let_50 (= _let_32 (tptp.addition tptp.one _let_21)))) (let ((_let_51 (= _let_30 (tptp.addition _let_23 _let_16)))) (let ((_let_52 (tptp.addition _let_17 _let_15))) (let ((_let_53 (= _let_37 _let_52))) (let ((_let_54 (= _let_35 (tptp.addition _let_23 _let_26)))) (let ((_let_55 (= _let_33 (tptp.addition _let_23 _let_32)))) (let ((_let_56 (tptp.addition _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_57 (= _let_56 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23)))) (let ((_let_58 (tptp.addition _let_13 _let_46))) (let ((_let_59 (tptp.addition _let_58 _let_45))) (let ((_let_60 (= (tptp.addition _let_13 _let_47) _let_59))) (let ((_let_61 (= (tptp.addition _let_46 (tptp.addition _let_45 _let_17)) (tptp.addition _let_47 _let_17)))) (let ((_let_62 (tptp.addition _let_26 _let_56))) (let ((_let_63 (= _let_62 (tptp.addition _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_64 (= _let_23 (tptp.multiplication _let_23 tptp.one)))) (let ((_let_65 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46))) (let ((_let_66 (= (tptp.multiplication (tptp.addition _let_43 _let_13) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_15)))) (let ((_let_67 (tptp.multiplication _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_68 (tptp.addition _let_46 _let_67))) (let ((_let_69 (= (tptp.multiplication _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_68))) (let ((_let_70 (= _let_59 (tptp.addition _let_45 _let_58)))) (let ((_let_71 (= _let_62 (tptp.addition _let_56 _let_26)))) (let ((_let_72 (= _let_52 (tptp.addition tptp.one (tptp.addition _let_15 _let_15))))) (let ((_let_73 (= (tptp.addition _let_23 _let_68) (tptp.addition (tptp.addition _let_23 _let_46) _let_67)))) (let ((_let_74 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_75 (= _let_74 _let_14))) (let ((_let_76 (not _let_14))) (let ((_let_77 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.leq A B)))) (let ((_let_81 (not _let_74))) (let ((_let_82 (_let_2))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (or))) (let ((_let_85 (_let_12))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((tptp.addition A B)))) (let ((_let_88 (tptp.leq _let_17 _let_13))) (let ((_let_89 (= _let_88 _let_20))) (let ((_let_90 (_let_4))) (let ((_let_91 (ASSUME :args _let_90))) (let ((_let_92 (_let_11))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 ((tptp.addition A (tptp.addition B C))))) (let ((_let_95 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_96 (_let_7))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_99 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_102 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_103 (_let_101))) (let ((_let_104 ((tptp.multiplication A tptp.one)))) (let ((_let_105 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_106 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_107 (_let_105))) (let ((_let_108 ((tptp.multiplication tptp.one A)))) (let ((_let_109 (tptp.leq _let_41 _let_13))) (let ((_let_110 (= _let_109 _let_49))) (let ((_let_111 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_112 (tptp.addition _let_111 tptp.one))) (let ((_let_113 (tptp.leq _let_112 _let_13))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_109))) (let ((_let_116 (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_117 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (tptp.addition tptp.one _let_111))) (let ((_let_119 (= _let_118 _let_112))) (let ((_let_120 (tptp.leq _let_118 _let_13))) (let ((_let_121 (_let_5))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (and _let_120 _let_119))) (let ((_let_124 (_let_120 _let_119))) (let ((_let_125 (ASSUME :args (_let_120)))) (let ((_let_126 (REFL :args (_let_13)))) (let ((_let_127 (ASSUME :args (_let_119)))) (let ((_let_128 (and _let_76 _let_18 _let_20 _let_22 _let_25 _let_28 _let_29 _let_31 _let_34 _let_36 _let_39 _let_40 _let_42 _let_44 _let_48 _let_49 _let_50 _let_51 _let_53 _let_54 _let_55 _let_57 _let_60 _let_61 _let_63 _let_64 _let_65 _let_66 _let_69 _let_70 _let_71 _let_72))) (let ((_let_129 (ASSUME :args (_let_76)))) (let ((_let_130 (APPLY_UF tptp.addition))) (let ((_let_131 (ASSUME :args (_let_49)))) (let ((_let_132 (ASSUME :args (_let_42)))) (let ((_let_133 (ASSUME :args (_let_44)))) (let ((_let_134 (CONG (TRANS (SYMM _let_133) (SYMM (SYMM _let_132))) _let_126 :args _let_130))) (let ((_let_135 (TRANS _let_134 (SYMM _let_131)))) (let ((_let_136 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_137 (ASSUME :args (_let_20)))) (let ((_let_138 (SYMM _let_137))) (let ((_let_139 (REFL :args (_let_17)))) (let ((_let_140 (CONG _let_139 _let_138 :args _let_130))) (let ((_let_141 (ASSUME :args (_let_22)))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (ASSUME :args (_let_25)))) (let ((_let_144 (TRANS (SYMM _let_143) _let_138))) (let ((_let_145 (CONG (REFL :args (_let_21)) _let_144 :args _let_130))) (let ((_let_146 (ASSUME :args (_let_34)))) (let ((_let_147 (SYMM _let_146))) (let ((_let_148 (ASSUME :args (_let_55)))) (let ((_let_149 (SYMM _let_148))) (let ((_let_150 (ASSUME :args (_let_64)))) (let ((_let_151 (CONG (SYMM _let_150) (REFL :args (_let_32)) :args _let_130))) (let ((_let_152 (ASSUME :args (_let_50)))) (let ((_let_153 (ASSUME :args (_let_40)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (SYMM _let_154))) (let ((_let_156 (ASSUME :args (_let_18)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (REFL :args (tptp.one)))) (let ((_let_159 (APPLY_UF tptp.multiplication))) (let ((_let_160 (ASSUME :args (_let_66)))) (let ((_let_161 (REFL :args (_let_15)))) (let ((_let_162 (CONG _let_158 (TRANS (CONG (CONG _let_133 _let_136 :args _let_159) _let_161 :args _let_130) (SYMM _let_160) (CONG _let_135 _let_136 :args _let_159)) :args _let_130))) (let ((_let_163 (ASSUME :args (_let_72)))) (let ((_let_164 (SYMM (SYMM _let_163)))) (let ((_let_165 (ASSUME :args (_let_53)))) (let ((_let_166 (SYMM (SYMM _let_165)))) (let ((_let_167 (ASSUME :args (_let_48)))) (let ((_let_168 (TRANS (SYMM _let_167) (CONG _let_144 _let_136 :args _let_159)))) (let ((_let_169 (CONG _let_168 _let_139 :args _let_130))) (let ((_let_170 (ASSUME :args (_let_61)))) (let ((_let_171 (SYMM _let_170))) (let ((_let_172 (SYMM _let_171))) (let ((_let_173 (TRANS (SYMM _let_169) _let_171))) (let ((_let_174 (ASSUME :args (_let_39)))) (let ((_let_175 (SYMM _let_174))) (let ((_let_176 (CONG _let_150 (TRANS _let_155 (SYMM _let_175) (CONG _let_158 _let_173 :args _let_130) (CONG _let_158 (TRANS _let_172 _let_169 _let_166 _let_164 _let_162 _let_156) :args _let_130) (CONG _let_158 (TRANS _let_157 _let_155) :args _let_130) (SYMM _let_152)) :args _let_130))) (let ((_let_177 (ASSUME :args (_let_29)))) (let ((_let_178 (ASSUME :args (_let_60)))) (let ((_let_179 (ASSUME :args (_let_70)))) (let ((_let_180 (ASSUME :args (_let_65)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (CONG (TRANS (CONG (REFL :args (_let_45)) (TRANS (CONG _let_137 _let_136 :args _let_130) (CONG _let_138 _let_182 :args _let_130)) :args _let_130) (SYMM _let_179) (SYMM _let_178) (CONG _let_126 _let_168 :args _let_130) (SYMM _let_177)) _let_139 :args _let_130))) (let ((_let_184 (REFL :args (_let_23)))) (let ((_let_185 (CONG _let_184 _let_157 :args _let_130))) (let ((_let_186 (ASSUME :args (_let_51)))) (let ((_let_187 (SYMM (SYMM _let_186)))) (let ((_let_188 (ASSUME :args (_let_31)))) (let ((_let_189 (SYMM (SYMM _let_188)))) (let ((_let_190 (CONG _let_161 (SYMM _let_144) :args _let_130))) (let ((_let_191 (ASSUME :args (_let_57)))) (let ((_let_192 (ASSUME :args (_let_28)))) (let ((_let_193 (CONG (TRANS (SYMM _let_192) (CONG _let_138 _let_136 :args _let_159)) _let_126 :args _let_130))) (let ((_let_194 (ASSUME :args (_let_36)))) (let ((_let_195 (SYMM (SYMM _let_194)))) (let ((_let_196 (ASSUME :args (_let_63)))) (let ((_let_197 (ASSUME :args (_let_71)))) (let ((_let_198 (ASSUME :args (_let_54)))) (let ((_let_199 (ASSUME :args (_let_69)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_128)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_129 _let_137 _let_141 _let_143 _let_146 _let_148 _let_150 _let_152 _let_153 _let_156 _let_131 _let_132 _let_133 _let_160 _let_163 _let_165 _let_167 _let_170 _let_174 _let_186 _let_188 _let_192 _let_194 _let_198 _let_199 _let_180 _let_177 _let_178 _let_179 _let_191 _let_196 _let_197) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (CONG _let_184 (TRANS (SYMM _let_199) (CONG (TRANS _let_175 _let_154) _let_136 :args _let_159)) :args _let_130) (SYMM _let_198) _let_195 _let_193 _let_190 _let_189 _let_187 _let_185 _let_176 _let_151 _let_149 _let_147 _let_145 _let_142 _let_140 _let_138) (TRANS (CONG (CONG _let_184 _let_181 :args _let_130) (TRANS (CONG _let_173 _let_136 :args _let_159) (CONG (TRANS _let_172 _let_169 _let_166 _let_164 _let_162) _let_136 :args _let_159)) :args _let_130) (SYMM _let_197) (SYMM (SYMM _let_196)) (CONG (TRANS _let_195 _let_193) _let_136 :args _let_130) (SYMM (SYMM _let_191)) (CONG _let_182 (TRANS _let_190 _let_189 _let_187 _let_185 (SYMM _let_183)) :args _let_130) (CONG _let_181 (TRANS _let_183 _let_176 _let_151 _let_149 _let_147 _let_145 _let_142 _let_140 _let_138 _let_131 (SYMM _let_134)) :args _let_130) (CONG _let_136 _let_135 :args _let_130)) :args (=)) (FALSE_INTRO _let_129))) :args (_let_76 _let_20 _let_22 _let_25 _let_34 _let_55 _let_64 _let_50 _let_40 _let_18 _let_49 _let_42 _let_44 _let_66 _let_72 _let_53 _let_48 _let_61 _let_39 _let_51 _let_31 _let_28 _let_36 _let_54 _let_69 _let_65 _let_29 _let_60 _let_70 _let_57 _let_63 _let_71))) :args (_let_76 _let_18 _let_20 _let_22 _let_25 _let_28 _let_29 _let_31 _let_34 _let_36 _let_39 _let_40 _let_42 _let_44 _let_48 _let_49 _let_50 _let_51 _let_53 _let_54 _let_55 _let_57 _let_60 _let_61 _let_63 _let_64 _let_65 _let_66 _let_69 _let_70 _let_71 _let_72))) :args (true _let_128)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_14))) (REFL :args ((not _let_18))) (REFL :args ((not _let_20))) (REFL :args ((not _let_22))) (REFL :args ((not _let_25))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args ((not _let_31))) (REFL :args ((not _let_34))) (REFL :args ((not _let_36))) (REFL :args ((not _let_39))) (REFL :args ((not _let_40))) (REFL :args ((not _let_42))) (REFL :args ((not _let_44))) (REFL :args ((not _let_48))) (REFL :args ((not _let_49))) (REFL :args ((not _let_50))) (REFL :args ((not _let_51))) (REFL :args ((not _let_53))) (REFL :args ((not _let_54))) (REFL :args ((not _let_55))) (REFL :args ((not _let_57))) (REFL :args ((not _let_60))) (REFL :args ((not _let_61))) (REFL :args ((not _let_63))) (REFL :args ((not _let_64))) (REFL :args ((not _let_65))) (REFL :args ((not _let_66))) (REFL :args ((not _let_69))) (REFL :args ((not _let_70))) (REFL :args ((not _let_71))) (REFL :args ((not _let_72))) (REFL :args ((not _let_73))) :args _let_84)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_67 _let_46 _let_23 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_73 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_15 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92))) _let_93 :args (_let_72 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_26 _let_56 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_71 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_58 _let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_70 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.one _let_37 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_98)) :args _let_96)) _let_97 :args (_let_69 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_43 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_98)) :args _let_96)) _let_97 :args (_let_66 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_65 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_64 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 _let_26 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_92)) _let_93 :args (_let_63 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_17 _let_45 _let_46 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_92)) _let_93 :args (_let_61 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_45 _let_46 _let_13 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_60 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_57 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_32 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_55 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_26 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_54 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_15 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_53 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_16 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_51 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_21 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_50 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_110)) :args ((or (not _let_109) _let_49 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_114 _let_109 (not _let_115)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_123)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_125 _let_127) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_127) _let_126 :args (APPLY_UF tptp.leq)) (TRUE_INTRO _let_125))) :args _let_124)) :args _let_124)) :args (true _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_121)) _let_122 :args (_let_120 false _let_5)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.one _let_111 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_119 false _let_12)) :args (_let_113 false _let_120 false _let_119)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) C)))) :args (_let_116))) _let_117 :args (_let_115 false _let_116)) :args (_let_109 false _let_113 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_41 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_110 false _let_77)) :args (_let_49 false _let_109 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.one _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_98)) :args _let_96)) _let_97 :args (_let_48 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_108)) :args _let_107)) _let_106 :args (_let_44 false _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_104)) :args _let_103)) _let_102 :args (_let_42 false _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_99))) _let_100 :args (_let_40 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_17 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_92))) _let_93 :args (_let_39 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_13 _let_15 _let_26 QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_92)) _let_93 :args (_let_36 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_23 tptp.one _let_21 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_34 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_23 tptp.one _let_15 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_31 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_15 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_29 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_17 _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_98)) :args _let_96)) _let_97 :args (_let_28 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_13 _let_15 tptp.one QUANTIFIERS_INST_E_MATCHING _let_95)) :args _let_92))) _let_93 :args (_let_25 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_13 _let_17 _let_17 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_22 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_89)) :args ((or (not _let_88) _let_20 (not _let_89)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_90)) _let_91 :args (_let_88 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_17 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_89 false _let_77)) :args (_let_20 false _let_88 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.one _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_18 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_75)) :args ((or _let_74 _let_76 (not _let_75)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_83) :args _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_81)) :args _let_84)) _let_83 :args (_let_81 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_75 false _let_77)) :args (_let_76 true _let_74 false _let_75)) :args (false false _let_73 false _let_72 false _let_71 false _let_70 false _let_69 false _let_66 false _let_65 false _let_64 false _let_63 false _let_61 false _let_60 false _let_57 false _let_55 false _let_54 false _let_53 false _let_51 false _let_50 false _let_49 false _let_48 false _let_44 false _let_42 false _let_40 false _let_39 false _let_36 false _let_34 false _let_31 false _let_29 false _let_28 false _let_25 false _let_22 false _let_20 false _let_18 true _let_14)) :args (_let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_9 _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_6 _let_5 _let_4 _let_3 (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_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.81/0.97 )
% 0.81/0.97 % SZS output end Proof for KLE038+1
% 0.81/0.97 % cvc5---1.0.5 exiting
% 0.81/0.97 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------