TSTP Solution File: KLE137+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 05:27:22 EDT 2023
% Result : Theorem 0.90s 1.14s
% Output : Proof 0.90s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : KLE137+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.12 % Command : do_cvc5 %s %d
% 0.11/0.32 % Computer : n010.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue Aug 29 11:02:33 EDT 2023
% 0.16/0.32 % CPUTime :
% 0.16/0.44 %----Proving TF0_NAR, FOF, or CNF
% 0.90/1.14 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.ZPvk8ov7Ia/cvc5---1.0.5_5501.p...
% 0.90/1.14 ------- get file name : TPTP file name is KLE137+1
% 0.90/1.14 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_5501.smt2...
% 0.90/1.14 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.90/1.14 % SZS status Theorem for KLE137+1
% 0.90/1.14 % SZS output start Proof for KLE137+1
% 0.90/1.14 (
% 0.90/1.14 (let ((_let_1 (forall ((X0 $$unsorted)) (tptp.leq X0 (tptp.strong_iteration tptp.one))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication A C) B) C) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_6 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication _let_1 A)) _let_1))))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_16 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_18 (tptp.star tptp.one))) (let ((_let_19 (tptp.multiplication _let_18 tptp.one))) (let ((_let_20 (tptp.addition tptp.one _let_19))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (tptp.addition _let_19 tptp.one))) (let ((_let_23 (= _let_20 _let_22))) (let ((_let_24 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18) (tptp.addition _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_25 (= _let_18 _let_19))) (let ((_let_26 (tptp.multiplication tptp.one _let_18))) (let ((_let_27 (= _let_18 _let_26))) (let ((_let_28 (tptp.multiplication tptp.one tptp.one))) (let ((_let_29 (= (tptp.multiplication tptp.one _let_20) (tptp.addition _let_28 (tptp.multiplication tptp.one _let_19))))) (let ((_let_30 (tptp.addition _let_26 tptp.zero))) (let ((_let_31 (= _let_30 (tptp.addition tptp.zero _let_26)))) (let ((_let_32 (= _let_26 _let_30))) (let ((_let_33 (tptp.multiplication tptp.one (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_34 (= _let_33 (tptp.multiplication _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_35 (= tptp.one _let_28))) (let ((_let_36 (tptp.multiplication _let_19 tptp.one))) (let ((_let_37 (tptp.multiplication _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_38 (tptp.multiplication _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (tptp.addition _let_38 _let_37))) (let ((_let_40 (= (tptp.multiplication (tptp.addition _let_28 _let_36) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_39))) (let ((_let_41 (tptp.star tptp.zero))) (let ((_let_42 (tptp.multiplication tptp.zero _let_41))) (let ((_let_43 (= _let_41 (tptp.addition tptp.one _let_42)))) (let ((_let_44 (= _let_41 (tptp.addition tptp.one (tptp.multiplication _let_41 tptp.zero))))) (let ((_let_45 (= (tptp.addition _let_33 tptp.one) (tptp.addition tptp.one _let_33)))) (let ((_let_46 (= (tptp.addition _let_38 (tptp.addition _let_37 tptp.one)) (tptp.addition _let_39 tptp.one)))) (let ((_let_47 (= tptp.one (tptp.addition tptp.one tptp.zero)))) (let ((_let_48 (= tptp.one (tptp.addition tptp.one tptp.one)))) (let ((_let_49 (= _let_30 (tptp.addition _let_30 _let_30)))) (let ((_let_50 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (= _let_38 (tptp.multiplication tptp.one _let_50)))) (let ((_let_52 (tptp.multiplication tptp.one _let_41))) (let ((_let_53 (= (tptp.multiplication tptp.one _let_52) (tptp.multiplication _let_28 _let_41)))) (let ((_let_54 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_50))) (let ((_let_55 (= _let_41 _let_52))) (let ((_let_56 (= tptp.zero _let_42))) (let ((_let_57 (tptp.addition _let_50 tptp.one))) (let ((_let_58 (= _let_57 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_57)))) (let ((_let_59 (= tptp.one _let_22))) (let ((_let_60 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (_let_60))) (let ((_let_63 ((tptp.star A)))) (let ((_let_64 (_let_17))) (let ((_let_65 (ASSUME :args _let_64))) (let ((_let_66 ((tptp.addition A B)))) (let ((_let_67 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (_let_67))) (let ((_let_70 ((tptp.multiplication A tptp.one)))) (let ((_let_71 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (_let_71))) (let ((_let_74 ((tptp.multiplication tptp.one A)))) (let ((_let_75 (_let_10))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (_let_77))) (let ((_let_80 ((tptp.addition A tptp.zero)))) (let ((_let_81 (_let_13))) (let ((_let_82 (ASSUME :args _let_81))) (let ((_let_83 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_35 false _let_67)))) (let ((_let_85 (_let_9))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication A _let_1))))))) (let ((_let_88 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_89 (_let_16))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_47 false _let_77)))) (let ((_let_92 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_93 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_94 (_let_92))) (let ((_let_95 ((tptp.addition A A)))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_48 false _let_92)))) (let ((_let_97 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_57))) (let ((_let_100 (= _let_99 _let_58))) (let ((_let_101 (not _let_58))) (let ((_let_102 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (_let_102))) (let ((_let_105 ((tptp.leq A B)))) (let ((_let_106 (tptp.strong_iteration tptp.one))) (let ((_let_107 (tptp.multiplication _let_106 tptp.one))) (let ((_let_108 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_107))) (let ((_let_109 (not _let_99))) (let ((_let_110 (or _let_109 _let_108))) (let ((_let_111 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq C (tptp.addition (tptp.multiplication A C) B))) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (= _let_106 _let_107))) (let ((_let_114 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_106))) (let ((_let_115 (not _let_108))) (let ((_let_116 (not _let_114))) (let ((_let_117 (_let_2))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 (or))) (let ((_let_120 (_let_116))) (let ((_let_121 (and _let_116 _let_113))) (let ((_let_122 (_let_116 _let_113))) (let ((_let_123 (ASSUME :args _let_120))) (let ((_let_124 (ASSUME :args (_let_113)))) (let ((_let_125 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_126 (tptp.leq _let_19 tptp.one))) (let ((_let_127 (= _let_126 _let_59))) (let ((_let_128 (tptp.addition _let_28 tptp.one))) (let ((_let_129 (tptp.leq _let_128 tptp.one))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_126))) (let ((_let_132 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A C) B) C)) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_133 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_134 (= tptp.one (tptp.addition _let_128 tptp.one)))) (let ((_let_135 (= _let_129 _let_134))) (let ((_let_136 (not _let_48))) (let ((_let_137 (not _let_47))) (let ((_let_138 (not _let_35))) (let ((_let_139 (and _let_35 _let_47 _let_48))) (let ((_let_140 (APPLY_UF tptp.addition))) (let ((_let_141 (ASSUME :args (_let_48)))) (let ((_let_142 (SYMM _let_141))) (let ((_let_143 (ASSUME :args (_let_35)))) (let ((_let_144 (SYMM _let_143))) (let ((_let_145 (REFL :args (_let_28)))) (let ((_let_146 (CONG _let_143 _let_143 :args _let_140))) (let ((_let_147 (ASSUME :args (_let_47)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (and _let_21 _let_23 _let_24 _let_25 _let_27 _let_29 _let_31 _let_32 _let_34 _let_35 _let_40 _let_43 _let_44 _let_59 _let_45 _let_46 _let_47 _let_48 _let_49 _let_51 _let_53 _let_54 _let_55 _let_56))) (let ((_let_150 (CONG (REFL :args (_let_50)) _let_142 :args _let_140))) (let ((_let_151 (ASSUME :args (_let_59)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (ASSUME :args (_let_23)))) (let ((_let_154 (SYMM _let_153))) (let ((_let_155 (SYMM _let_154))) (let ((_let_156 (ASSUME :args (_let_21)))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (SYMM _let_157))) (let ((_let_159 (ASSUME :args (_let_54)))) (let ((_let_160 (SYMM _let_159))) (let ((_let_161 (SYMM _let_160))) (let ((_let_162 (CONG _let_161 (TRANS _let_158 _let_155 _let_152 _let_141) :args _let_140))) (let ((_let_163 (ASSUME :args (_let_24)))) (let ((_let_164 (ASSUME :args (_let_27)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (ASSUME :args (_let_32)))) (let ((_let_167 (SYMM _let_166))) (let ((_let_168 (ASSUME :args (_let_31)))) (let ((_let_169 (TRANS (SYMM _let_168) _let_167 _let_165))) (let ((_let_170 (CONG _let_169 _let_125 :args _let_140))) (let ((_let_171 (APPLY_UF tptp.multiplication))) (let ((_let_172 (CONG _let_144 _let_125 :args _let_171))) (let ((_let_173 (ASSUME :args (_let_51)))) (let ((_let_174 (REFL :args (tptp.one)))) (let ((_let_175 (TRANS _let_161 (SYMM _let_172)))) (let ((_let_176 (ASSUME :args (_let_56)))) (let ((_let_177 (CONG _let_144 (SYMM _let_176) :args _let_140))) (let ((_let_178 (CONG _let_143 (REFL :args (_let_42)) :args _let_140))) (let ((_let_179 (ASSUME :args (_let_43)))) (let ((_let_180 (SYMM _let_179))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (ASSUME :args (_let_44)))) (let ((_let_183 (SYMM _let_178))) (let ((_let_184 (SYMM _let_177))) (let ((_let_185 (ASSUME :args (_let_49)))) (let ((_let_186 (ASSUME :args (_let_25)))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (TRANS (CONG (TRANS _let_187 (TRANS _let_164 _let_166)) (TRANS (CONG _let_165 _let_174 :args _let_171) _let_187 _let_164 _let_166) :args _let_140) (SYMM _let_185) _let_167 _let_165))) (let ((_let_189 (CONG _let_165 _let_125 :args _let_171))) (let ((_let_190 (ASSUME :args (_let_34)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (ASSUME :args (_let_55)))) (let ((_let_193 (CONG _let_144 (REFL :args (_let_41)) :args _let_171))) (let ((_let_194 (ASSUME :args (_let_53)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (CONG (TRANS _let_147 (TRANS _let_184 _let_183 _let_180) (TRANS _let_192 (SYMM _let_193) _let_195) (TRANS (SYMM _let_195) _let_193 (SYMM _let_192) _let_181 _let_178 _let_177 _let_148 _let_151 _let_154 _let_157) (SYMM _let_169)) (TRANS (SYMM _let_191) _let_189 (CONG (SYMM _let_188) _let_125 :args _let_171) (CONG (TRANS _let_188 (TRANS _let_158 _let_155 _let_152 _let_147 _let_184 _let_183 _let_180 _let_182) (SYMM _let_182) (TRANS _let_181 _let_178 _let_177 _let_148)) _let_175 :args _let_171) (CONG _let_174 _let_172 :args _let_171) (SYMM _let_173) _let_172 _let_160) :args _let_140))) (let ((_let_197 (ASSUME :args (_let_45)))) (let ((_let_198 (SYMM _let_197))) (let ((_let_199 (TRANS (SYMM _let_189) _let_191))) (let ((_let_200 (CONG _let_187 _let_174 :args _let_171))) (let ((_let_201 (ASSUME :args (_let_46)))) (let ((_let_202 (ASSUME :args (_let_40)))) (let ((_let_203 (ASSUME :args (_let_29)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_149)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_143 _let_141 _let_151 _let_153 _let_156 _let_163 _let_164 _let_166 _let_168 _let_147 _let_176 _let_179 _let_192 _let_194 _let_173 _let_182 _let_185 _let_186 _let_190 _let_197 _let_201 _let_202 _let_203) (SCOPE (TRANS (SYMM _let_150) (SYMM _let_162) _let_163 (SYMM _let_170) (SYMM _let_196) _let_198 (CONG (TRANS (SYMM _let_199) (TRANS (CONG (TRANS _let_164 (CONG _let_174 _let_158 :args _let_171) (SYMM (SYMM _let_203)) (CONG _let_145 (TRANS (CONG _let_174 _let_187 :args _let_171) _let_165 _let_186 (SYMM _let_200)) :args _let_140)) _let_125 :args _let_171) (SYMM (SYMM _let_202)))) _let_174 :args _let_140) (SYMM _let_201) (CONG (SYMM _let_175) (TRANS (CONG (TRANS (CONG (TRANS _let_200 _let_187) _let_125 :args _let_171) _let_199) _let_174 :args _let_140) (SYMM _let_198) _let_196 _let_170 (SYMM _let_163) _let_162 _let_150) :args _let_140)) :args (_let_54 _let_35 _let_48 _let_59 _let_23 _let_21 _let_24 _let_27 _let_32 _let_31 _let_47 _let_56 _let_43 _let_55 _let_53 _let_51 _let_44 _let_49 _let_25 _let_34 _let_45 _let_46 _let_40 _let_29))) :args (_let_21 _let_23 _let_24 _let_25 _let_27 _let_29 _let_31 _let_32 _let_34 _let_35 _let_40 _let_43 _let_44 _let_59 _let_45 _let_46 _let_47 _let_48 _let_49 _let_51 _let_53 _let_54 _let_55 _let_56))) :args (true _let_149)) :args ((or (not _let_21) (not _let_23) (not _let_24) (not _let_25) (not _let_27) (not _let_29) (not _let_31) (not _let_32) (not _let_34) _let_138 (not _let_40) (not _let_43) (not _let_44) (not _let_59) _let_58 (not _let_45) (not _let_46) _let_137 _let_136 (not _let_49) (not _let_51) (not _let_53) (not _let_54) (not _let_55) (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_127)) :args ((or _let_59 (not _let_126) (not _let_127)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_130 _let_126 (not _let_131)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_135)) :args ((or _let_129 (not _let_134) (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_139)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_143 _let_141 _let_147) (SCOPE (TRANS _let_141 (CONG _let_143 _let_147 :args _let_140) (CONG (TRANS _let_144 _let_147 (TRANS _let_148 _let_141 _let_146) (SYMM _let_146)) (TRANS _let_148 _let_141) :args _let_140) (CONG (TRANS _let_146 (CONG _let_145 _let_144 :args _let_140)) _let_142 :args _let_140)) :args (_let_35 _let_48 _let_47))) :args (_let_35 _let_47 _let_48))) :args (true _let_139)) :args ((or _let_138 _let_134 _let_137 _let_136))) _let_84 _let_91 _let_96 :args (_let_134 false _let_35 false _let_47 false _let_48)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_128 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_104)) _let_103 :args (_let_135 false _let_102)) :args (_let_129 false _let_134 false _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.one tptp.one tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A C) (tptp.multiplication (tptp.star A) B)))) :args (_let_132))) _let_133 :args (_let_131 false _let_132)) :args (_let_126 false _let_129 false _let_131)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_19 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_104)) _let_103 :args (_let_127 false _let_102)) :args (_let_59 false _let_126 false _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_100)) :args ((or _let_99 _let_101 (not _let_100)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_109 _let_108 (not _let_110)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_121)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_123 _let_124) (SCOPE (FALSE_ELIM (TRANS (CONG _let_125 (SYMM _let_124) :args (APPLY_UF tptp.leq)) (FALSE_INTRO _let_123))) :args _let_122)) :args _let_122)) :args (true _let_121)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_116) _let_114))) (REFL :args ((not _let_113))) (REFL :args (_let_115)) :args _let_119)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_118) :args _let_117)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_120) :args _let_119)) _let_118 :args (_let_116 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_106 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_113 false _let_67)) :args (_let_115 true _let_114 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (tptp.one tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)) true))))) :args (_let_111))) _let_112 :args (_let_110 false _let_111)) :args (_let_109 true _let_108 false _let_110)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_57 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_104)) _let_103 :args (_let_100 false _let_102)) :args (_let_101 true _let_99 false _let_100)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.multiplication tptp.zero A) tptp.zero))))) :args (_let_97))) _let_98 :args (_let_56 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_55 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_54 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.one tptp.one _let_41 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_53 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.one tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81))) _let_82 :args (_let_51 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_95)) :args _let_94)) _let_93 :args (_let_49 false _let_92)) _let_96 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (tptp.one _let_37 _let_38 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.addition A B) C)))) :args _let_89)) _let_90 :args (_let_46 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_33 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_45 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_44 false _let_60)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_87))) _let_88 :args (_let_43 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_28 _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication (tptp.addition A B) C)))) :args _let_85)) _let_86 :args (_let_40 false _let_9)) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.one _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_83)) :args _let_81)) _let_82 :args (_let_34 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_79)) _let_78 :args (_let_32 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (_let_26 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_31 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (tptp.one tptp.one _let_19 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.addition B C))))) :args _let_75)) _let_76 :args (_let_29 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_74)) :args _let_73)) _let_72 :args (_let_27 false _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_70)) :args _let_69)) _let_68 :args (_let_25 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_24 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (tptp.one _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_66)) :args _let_64)) _let_65 :args (_let_23 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_63)) :args _let_62)) _let_61 :args (_let_21 false _let_60)) :args (false false _let_59 true _let_58 false _let_56 false _let_55 false _let_54 false _let_53 false _let_51 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_44 false _let_43 false _let_40 false _let_35 false _let_34 false _let_32 false _let_31 false _let_29 false _let_27 false _let_25 false _let_24 false _let_23 false _let_21)) :args (_let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))) _let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))) _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.90/1.15 )
% 0.90/1.15 % SZS output end Proof for KLE137+1
% 0.90/1.15 % cvc5---1.0.5 exiting
% 0.90/1.15 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------