TSTP Solution File: KLE147+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE147+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:27:26 EDT 2023
% Result : Theorem 54.42s 54.70s
% Output : Proof 54.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE147+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:30:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 54.42/54.70 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.eU7CFR2IfZ/cvc5---1.0.5_4611.p...
% 54.42/54.70 ------- get file name : TPTP file name is KLE147+2
% 54.42/54.70 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4611.smt2...
% 54.42/54.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 54.42/54.70 --- Run --no-e-matching --full-saturate-quant at 5...
% 54.42/54.70 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 54.42/54.70 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 54.42/54.70 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 54.42/54.70 --- Run --trigger-sel=max --full-saturate-quant at 5...
% 54.42/54.70 --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 54.42/54.70 --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 54.42/54.70 --- Run --prenex-quant=none --full-saturate-quant at 5...
% 54.42/54.70 --- Run --enum-inst-interleave --decision=internal --full-saturate-quant at 5...
% 54.42/54.70 % SZS status Theorem for KLE147+2
% 54.42/54.70 % SZS output start Proof for KLE147+2
% 54.42/54.70 (
% 54.42/54.70 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.strong_iteration (tptp.multiplication (tptp.star X0) X1)))) (let ((_let_2 (tptp.multiplication (tptp.star X1) _let_1))) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1)))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_3 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.star A) (tptp.multiplication _let_1 tptp.zero))))))) (let ((_let_4 (forall ((A $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (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 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_18))) (let ((_let_20 (= _let_18 (tptp.addition tptp.one _let_19)))) (let ((_let_21 (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (tptp.strong_iteration _let_21))) (let ((_let_23 (tptp.multiplication _let_21 _let_22))) (let ((_let_24 (= _let_22 (tptp.addition _let_23 tptp.one)))) (let ((_let_25 (tptp.multiplication _let_22 tptp.zero))) (let ((_let_26 (tptp.star _let_21))) (let ((_let_27 (tptp.addition _let_26 _let_25))) (let ((_let_28 (= _let_22 _let_27))) (let ((_let_29 (tptp.addition tptp.one tptp.zero))) (let ((_let_30 (= (tptp.addition tptp.zero tptp.one) _let_29))) (let ((_let_31 (tptp.star tptp.zero))) (let ((_let_32 (tptp.multiplication tptp.zero _let_31))) (let ((_let_33 (= _let_31 (tptp.addition tptp.one _let_32)))) (let ((_let_34 (tptp.strong_iteration tptp.zero))) (let ((_let_35 (tptp.multiplication tptp.zero _let_34))) (let ((_let_36 (= _let_34 (tptp.addition _let_35 tptp.one)))) (let ((_let_37 (tptp.multiplication _let_34 tptp.zero))) (let ((_let_38 (tptp.addition _let_31 _let_37))) (let ((_let_39 (= _let_34 _let_38))) (let ((_let_40 (= tptp.one _let_29))) (let ((_let_41 (= tptp.zero _let_32))) (let ((_let_42 (= tptp.zero _let_35))) (let ((_let_43 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22))) (let ((_let_44 (= (tptp.addition _let_43 _let_27) (tptp.addition (tptp.addition _let_43 _let_26) _let_25)))) (let ((_let_45 (tptp.addition _let_37 _let_19))) (let ((_let_46 (tptp.addition _let_31 _let_45))) (let ((_let_47 (= _let_46 (tptp.addition _let_38 _let_19)))) (let ((_let_48 (= _let_23 (tptp.multiplication _let_18 _let_43)))) (let ((_let_49 (tptp.addition _let_34 _let_34))) (let ((_let_50 (= _let_34 _let_49))) (let ((_let_51 (tptp.multiplication _let_22 tptp.one))) (let ((_let_52 (= _let_22 _let_51))) (let ((_let_53 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_54 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_53))) (let ((_let_55 (= _let_22 (tptp.multiplication tptp.one _let_22)))) (let ((_let_56 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_51) (tptp.multiplication _let_43 tptp.one)))) (let ((_let_57 (= (tptp.multiplication tptp.one _let_43) (tptp.multiplication _let_53 _let_22)))) (let ((_let_58 (tptp.multiplication _let_22 _let_34))) (let ((_let_59 (= (tptp.multiplication _let_22 _let_49) (tptp.addition _let_58 _let_58)))) (let ((_let_60 (tptp.multiplication _let_45 _let_43))) (let ((_let_61 (tptp.multiplication _let_31 _let_43))) (let ((_let_62 (tptp.addition _let_61 _let_60))) (let ((_let_63 (= (tptp.multiplication _let_46 _let_43) _let_62))) (let ((_let_64 (tptp.addition _let_43 _let_22))) (let ((_let_65 (= _let_22 (tptp.addition _let_64 _let_22)))) (let ((_let_66 (tptp.multiplication _let_34 _let_22))) (let ((_let_67 (= (tptp.addition _let_43 (tptp.addition _let_66 _let_66)) (tptp.addition (tptp.addition _let_43 _let_66) _let_66)))) (let ((_let_68 (tptp.addition _let_60 tptp.one))) (let ((_let_69 (tptp.addition _let_61 _let_68))) (let ((_let_70 (= _let_69 (tptp.addition _let_62 tptp.one)))) (let ((_let_71 (tptp.multiplication _let_43 _let_34))) (let ((_let_72 (= (tptp.multiplication _let_43 _let_49) (tptp.addition _let_71 _let_71)))) (let ((_let_73 (= (tptp.addition _let_43 _let_69) (tptp.addition (tptp.addition _let_43 _let_61) _let_68)))) (let ((_let_74 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication A _let_1))))))) (let ((_let_75 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_76 (_let_74))) (let ((_let_77 (_let_4))) (let ((_let_78 (ASSUME :args _let_77))) (let ((_let_79 (_let_3))) (let ((_let_80 (ASSUME :args _let_79))) (let ((_let_81 ((tptp.strong_iteration A)))) (let ((_let_82 (_let_17))) (let ((_let_83 (ASSUME :args _let_82))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (tptp.zero tptp.one QUANTIFIERS_INST_ENUM)) :args _let_82)) _let_83 :args (_let_30 false _let_17)))) (let ((_let_85 (tptp.zero QUANTIFIERS_INST_ENUM))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args _let_85) :args _let_76)) _let_75 :args (_let_33 false _let_74)))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args _let_85) :args _let_77)) _let_78 :args (_let_36 false _let_4)))) (let ((_let_88 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args (_let_88))) _let_89 :args (_let_40 false _let_88)))) (let ((_let_91 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (_let_91))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args (_let_31 QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_92 :args (_let_41 false _let_91)))) (let ((_let_95 (_let_34 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_92 :args _let_95) :args _let_93)) _let_92 :args (_let_42 false _let_91)))) (let ((_let_97 (_let_16))) (let ((_let_98 (ASSUME :args _let_97))) (let ((_let_99 ((tptp.addition A (tptp.addition B C))))) (let ((_let_100 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_101 (_let_13))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_104 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_95) :args (_let_104))) _let_105 :args (_let_50 false _let_104)))) (let ((_let_107 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_107))) (let ((_let_110 (_let_22 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_111 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_111))) (let ((_let_114 (_let_10))) (let ((_let_115 (ASSUME :args _let_114))) (let ((_let_116 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_117 (_let_9))) (let ((_let_118 (ASSUME :args _let_117))) (let ((_let_119 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_120 (tptp.leq _let_64 _let_22))) (let ((_let_121 (= _let_120 _let_65))) (let ((_let_122 (not _let_65))) (let ((_let_123 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 ((tptp.leq A B)))) (let ((_let_127 (tptp.leq (tptp.multiplication (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_22) _let_22))) (let ((_let_128 (not _let_120))) (let ((_let_129 (or _let_128 _let_127))) (let ((_let_130 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.leq (tptp.addition (tptp.multiplication A C) B) C)) (tptp.leq (tptp.multiplication (tptp.star A) B) C))))) (let ((_let_131 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_132 (forall ((BOUND_VARIABLE_792 $$unsorted) (BOUND_VARIABLE_794 $$unsorted)) (let ((_let_1 (tptp.strong_iteration (tptp.multiplication (tptp.star BOUND_VARIABLE_792) BOUND_VARIABLE_794)))) (tptp.leq (tptp.multiplication (tptp.star BOUND_VARIABLE_794) _let_1) _let_1))))) (let ((_let_133 (not _let_127))) (let ((_let_134 (forall ((BOUND_VARIABLE_780 $$unsorted) (BOUND_VARIABLE_782 $$unsorted)) (let ((_let_1 (tptp.strong_iteration (tptp.multiplication (tptp.star BOUND_VARIABLE_780) BOUND_VARIABLE_782)))) (tptp.leq _let_1 (tptp.multiplication (tptp.star BOUND_VARIABLE_782) _let_1)))))) (let ((_let_135 (not _let_132))) (let ((_let_136 (tptp.multiplication (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_137 (tptp.strong_iteration _let_136))) (let ((_let_138 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_139 (tptp.multiplication _let_138 _let_137))) (let ((_let_140 (tptp.leq _let_137 _let_139))) (let ((_let_141 (= _let_139 (tptp.addition _let_137 _let_139)))) (let ((_let_142 (= _let_140 _let_141))) (let ((_let_143 (tptp.multiplication _let_137 _let_34))) (let ((_let_144 (= (tptp.multiplication _let_137 _let_49) (tptp.addition _let_143 _let_143)))) (let ((_let_145 (tptp.multiplication _let_138 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_146 (tptp.multiplication _let_145 _let_137))) (let ((_let_147 (tptp.multiplication tptp.one _let_137))) (let ((_let_148 (tptp.addition _let_147 _let_146))) (let ((_let_149 (= (tptp.addition _let_137 _let_148) (tptp.addition (tptp.addition _let_137 _let_147) _let_146)))) (let ((_let_150 (= _let_137 _let_147))) (let ((_let_151 (= _let_137 (tptp.multiplication _let_137 tptp.one)))) (let ((_let_152 (tptp.addition tptp.one _let_145))) (let ((_let_153 (= (tptp.multiplication _let_152 _let_137) _let_148))) (let ((_let_154 (= _let_137 (tptp.addition (tptp.star _let_136) (tptp.multiplication _let_137 tptp.zero))))) (let ((_let_155 (= _let_138 _let_152))) (let ((_let_156 (_let_137 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_157 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_158 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_159 (not _let_50))) (let ((_let_160 (not _let_42))) (let ((_let_161 (not _let_41))) (let ((_let_162 (not _let_40))) (let ((_let_163 (not _let_36))) (let ((_let_164 (not _let_33))) (let ((_let_165 (not _let_30))) (let ((_let_166 (and _let_155 _let_154 _let_30 _let_33 _let_36 _let_40 _let_41 _let_42 _let_153 _let_50 _let_151 _let_150 _let_149 _let_144))) (let ((_let_167 (APPLY_UF tptp.addition))) (let ((_let_168 (ASSUME :args (_let_154)))) (let ((_let_169 (APPLY_UF tptp.multiplication))) (let ((_let_170 (REFL :args (_let_137)))) (let ((_let_171 (ASSUME :args (_let_155)))) (let ((_let_172 (CONG (SYMM _let_171) _let_170 :args _let_169))) (let ((_let_173 (ASSUME :args (_let_153)))) (let ((_let_174 (ASSUME :args (_let_149)))) (let ((_let_175 (REFL :args (_let_146)))) (let ((_let_176 (ASSUME :args (_let_40)))) (let ((_let_177 (SYMM _let_176))) (let ((_let_178 (ASSUME :args (_let_41)))) (let ((_let_179 (REFL :args (tptp.one)))) (let ((_let_180 (CONG _let_179 (SYMM _let_178) :args _let_167))) (let ((_let_181 (ASSUME :args (_let_33)))) (let ((_let_182 (SYMM _let_181))) (let ((_let_183 (TRANS (SYMM _let_182) _let_180 _let_177))) (let ((_let_184 (SYMM _let_180))) (let ((_let_185 (ASSUME :args (_let_30)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (ASSUME :args (_let_42)))) (let ((_let_189 (CONG (SYMM _let_188) _let_179 :args _let_167))) (let ((_let_190 (ASSUME :args (_let_36)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (SYMM _let_191))) (let ((_let_193 (TRANS _let_192 _let_189 _let_187 _let_184 _let_182))) (let ((_let_194 (TRANS _let_193 _let_183))) (let ((_let_195 (CONG _let_194 _let_170 :args _let_169))) (let ((_let_196 (ASSUME :args (_let_150)))) (let ((_let_197 (SYMM _let_196))) (let ((_let_198 (ASSUME :args (_let_151)))) (let ((_let_199 (SYMM _let_198))) (let ((_let_200 (TRANS (CONG _let_170 _let_194 :args _let_169) _let_199 _let_196 (SYMM _let_195)))) (let ((_let_201 (ASSUME :args (_let_144)))) (let ((_let_202 (ASSUME :args (_let_50)))) (let ((_let_203 (SYMM _let_202))) (let ((_let_204 (SYMM _let_189))) (let ((_let_205 (or))) (let ((_let_206 (not _let_134))) (let ((_let_207 (_let_206))) (let ((_let_208 (_let_135))) (let ((_let_209 (not _let_73))) (let ((_let_210 (not _let_72))) (let ((_let_211 (not _let_70))) (let ((_let_212 (not _let_67))) (let ((_let_213 (not _let_63))) (let ((_let_214 (not _let_59))) (let ((_let_215 (not _let_57))) (let ((_let_216 (not _let_56))) (let ((_let_217 (not _let_55))) (let ((_let_218 (not _let_54))) (let ((_let_219 (not _let_52))) (let ((_let_220 (not _let_48))) (let ((_let_221 (not _let_47))) (let ((_let_222 (not _let_44))) (let ((_let_223 (not _let_39))) (let ((_let_224 (not _let_28))) (let ((_let_225 (not _let_24))) (let ((_let_226 (not _let_20))) (let ((_let_227 (_let_209))) (let ((_let_228 (ASSUME :args (_let_73)))) (let ((_let_229 (ASSUME :args (_let_122)))) (let ((_let_230 (=))) (let ((_let_231 (REFL :args (_let_22)))) (let ((_let_232 (ASSUME :args (_let_28)))) (let ((_let_233 (REFL :args (_let_43)))) (let ((_let_234 (ASSUME :args (_let_44)))) (let ((_let_235 (TRANS (SYMM _let_234) (CONG _let_233 (SYMM _let_232) :args _let_167)))) (let ((_let_236 (ASSUME :args (_let_55)))) (let ((_let_237 (TRANS _let_176 _let_186 _let_204 _let_191))) (let ((_let_238 (SYMM _let_237))) (let ((_let_239 (CONG _let_238 _let_231 :args _let_169))) (let ((_let_240 (TRANS 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:args _let_169) (SYMM _let_251)) _let_250 :args _let_167))) (let ((_let_257 (ASSUME :args (_let_70)))) (let ((_let_258 (SYMM (SYMM _let_257)))) (let ((_let_259 (CONG _let_250 _let_233 :args _let_169))) (let ((_let_260 (ASSUME :args (_let_57)))) (let ((_let_261 (ASSUME :args (_let_54)))) (let ((_let_262 (CONG (SYMM (SYMM _let_261)) _let_231 :args _let_169))) (let ((_let_263 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_243 :args _let_169))) (let ((_let_264 (ASSUME :args (_let_56)))) (let ((_let_265 (ASSUME :args (_let_72)))) (let ((_let_266 (SYMM _let_262))) (let ((_let_267 (SYMM _let_259))) (let ((_let_268 (CONG _let_193 _let_233 :args _let_169))) (let ((_let_269 (TRANS _let_268 _let_267 _let_260 _let_266 (SYMM _let_263) _let_264 (CONG _let_233 _let_237 :args _let_169)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_228 (MODUS_PONENS (AND_INTRO _let_247 _let_176 _let_178 _let_181 _let_251 _let_252 _let_185 _let_188 _let_190 _let_253 _let_254 _let_255 _let_257 _let_260 _let_261 _let_242 _let_264 _let_202 _let_265 _let_229 _let_232 _let_234 _let_236 _let_241 _let_245) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG (SYMM (TRANS _let_268 _let_267 _let_260 _let_266)) (SYMM _let_268) :args _let_167) (CONG _let_269 _let_269 :args _let_167) (SYMM _let_265) (CONG _let_233 _let_246 :args _let_169) (SYMM _let_264) _let_263) (TRANS _let_262 (SYMM _let_260) _let_259)) (REFL :args (_let_68)) :args _let_167) _let_258 _let_256 _let_249 _let_248) (CONG _let_233 (TRANS _let_258 _let_256 _let_249 _let_248) :args _let_167) :args _let_230) (TRANS (CONG _let_231 (TRANS (CONG _let_233 (TRANS _let_242 (CONG _let_231 (SYMM _let_246) :args _let_169) (SYMM (SYMM _let_245)) (CONG _let_244 _let_244 :args _let_167)) :args _let_167) (SYMM (SYMM _let_241)) (CONG (TRANS (CONG _let_233 _let_240 :args _let_167) (SYMM _let_235)) _let_240 :args _let_167) (CONG _let_235 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(_let_165)) (REFL :args (_let_164)) (REFL :args (_let_163)) (REFL :args (_let_223)) (REFL :args (_let_162)) (REFL :args (_let_161)) (REFL :args (_let_160)) (REFL :args (_let_222)) (REFL :args (_let_221)) (REFL :args (_let_220)) (MACRO_SR_PRED_INTRO :args ((= (not _let_122) _let_65))) (REFL :args (_let_159)) (REFL :args (_let_219)) (REFL :args (_let_218)) (REFL :args (_let_217)) (REFL :args (_let_216)) (REFL :args (_let_215)) (REFL :args (_let_214)) (REFL :args (_let_213)) (REFL :args (_let_212)) (REFL :args (_let_211)) (REFL :args (_let_210)) (REFL :args _let_227) :args _let_205)) :args ((or _let_226 _let_225 _let_224 _let_165 _let_164 _let_163 _let_223 _let_162 _let_161 _let_160 _let_65 _let_222 _let_221 _let_220 _let_159 _let_219 _let_218 _let_217 _let_216 _let_215 _let_214 _let_213 _let_212 _let_211 _let_210 _let_209))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_68 _let_61 _let_43 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_97)) _let_98 :args 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(REFL :args (_let_133)) :args _let_205)) (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_207)) :args _let_207)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_206) _let_134))) (REFL :args ((not _let_140))) :args _let_205)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_142)) :args ((or _let_140 (not _let_141) (not _let_142)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_166)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_168 _let_171 _let_173 _let_174 _let_196 _let_176 _let_178 _let_181 _let_185 _let_188 _let_190 _let_198 _let_201 _let_202) (SCOPE (TRANS (SYMM _let_172) _let_173 (CONG (TRANS _let_197 _let_198) _let_175 :args _let_167) (CONG (TRANS _let_199 (TRANS _let_198 (CONG _let_170 (TRANS _let_176 _let_186 _let_204 _let_191 (SYMM _let_203)) :args _let_169) (SYMM (SYMM _let_201)) (CONG _let_200 _let_200 :args _let_167) (CONG (TRANS _let_195 _let_197) _let_195 :args _let_167))) _let_175 :args _let_167) (SYMM _let_174) (CONG _let_168 (TRANS (SYMM _let_173) _let_172) :args _let_167) (CONG (SYMM _let_168) (REFL :args (_let_139)) :args _let_167)) :args (_let_154 _let_155 _let_153 _let_149 _let_150 _let_40 _let_41 _let_33 _let_30 _let_42 _let_36 _let_151 _let_144 _let_50))) :args (_let_155 _let_154 _let_30 _let_33 _let_36 _let_40 _let_41 _let_42 _let_153 _let_50 _let_151 _let_150 _let_149 _let_144))) :args (true _let_166)) :args ((or _let_141 (not _let_155) (not _let_154) _let_165 _let_164 _let_163 _let_162 _let_161 _let_160 (not _let_153) _let_159 (not _let_151) (not _let_150) (not _let_149) (not _let_144)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_157))) _let_158 :args (_let_155 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_136 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_154 false _let_3)) _let_84 _let_86 _let_87 _let_90 _let_94 _let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (tptp.one _let_145 _let_137 QUANTIFIERS_INST_E_MATCHING _let_119)) :args _let_117)) _let_118 :args (_let_153 false _let_9)) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_156) :args _let_109)) _let_108 :args (_let_151 false _let_107)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args _let_156) :args _let_113)) _let_112 :args (_let_150 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_146 _let_147 _let_137 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_149 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_137 _let_34 _let_34 QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_114)) _let_115 :args (_let_144 false _let_10)) :args (_let_141 false _let_155 false _let_154 false _let_30 false _let_33 false _let_36 false _let_40 false _let_41 false _let_42 false _let_153 false _let_50 false _let_151 false _let_150 false _let_149 false _let_144)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_137 _let_139 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_142 false _let_123)) :args (_let_140 false _let_141 false _let_142)) :args (_let_134 false _let_140)) :args (_let_135 false _let_134)) :args (_let_133 true _let_132)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_131 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22 _let_22 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication (tptp.star A) B) C) true))))) :args (_let_130))) _let_131 :args (_let_129 false _let_130)) :args (_let_128 true _let_127 false _let_129)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_64 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_121 false _let_123)) :args (_let_122 true _let_120 false _let_121)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_118 :args (_let_31 _let_45 _let_43 QUANTIFIERS_INST_E_MATCHING _let_119)) :args _let_117)) _let_118 :args (_let_63 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args (_let_22 _let_34 _let_34 QUANTIFIERS_INST_E_MATCHING _let_116)) :args _let_114)) _let_115 :args (_let_59 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_101)) _let_102 :args (_let_57 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.multiplication B C))))) :args _let_101)) _let_102 :args (_let_56 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args _let_110) :args _let_113)) _let_112 :args (_let_55 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP)) :args _let_113)) _let_112 :args (_let_54 false _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args _let_110) :args _let_109)) _let_108 :args (_let_52 false _let_107)) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_22 QUANTIFIERS_INST_E_MATCHING _let_103)) :args _let_101))) _let_102 :args (_let_48 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_19 _let_37 _let_31 QUANTIFIERS_INST_E_MATCHING _let_100)) :args _let_97)) _let_98 :args (_let_47 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_25 _let_26 _let_43 QUANTIFIERS_INST_E_MATCHING _let_99)) :args _let_97)) _let_98 :args (_let_44 false _let_16)) _let_96 _let_94 _let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args _let_85) :args _let_79)) _let_80 :args (_let_39 false _let_3)) _let_87 _let_86 _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_80 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_81)) :args _let_79)) _let_80 :args (_let_28 false _let_3)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_77)) _let_78 :args (_let_24 false _let_4)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args _let_76)) _let_75 :args (_let_20 false _let_74)) :args (false false _let_73 false _let_72 false _let_70 false _let_67 true _let_65 false _let_63 false _let_59 false _let_57 false _let_56 false _let_55 false _let_54 false _let_52 false _let_50 false _let_48 false _let_47 false _let_44 false _let_42 false _let_41 false _let_40 false _let_39 false _let_36 false _let_33 false _let_30 false _let_28 false _let_24 false _let_20)) :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 $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) _let_4 (forall ((A $$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_3 _let_2 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 54.42/54.71 )
% 54.42/54.71 % SZS output end Proof for KLE147+2
% 54.42/54.71 % cvc5---1.0.5 exiting
% 54.42/54.71 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------