%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE143+1 : 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 05:27:24 EDT 2023

% Result   : Theorem 7.94s 8.14s
% Output   : Proof 7.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : KLE143+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n024.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 11:51:38 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 7.94/8.14  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KKX8eVqHnM/cvc5---1.0.5_27081.p...
% 7.94/8.14  ------- get file name : TPTP file name is KLE143+1
% 7.94/8.14  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_27081.smt2...
% 7.94/8.14  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 7.94/8.14  % SZS status Theorem for KLE143+1
% 7.94/8.14  % SZS output start Proof for KLE143+1
% 7.94/8.14  (
% 7.94/8.14  (let ((_let_1 (not (forall ((X0 $$unsorted)) (let ((_let_1 (tptp.strong_iteration X0))) (= (tptp.multiplication _let_1 _let_1) _let_1)))))) (let ((_let_2 (forall ((A $$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.strong_iteration SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18))) (let ((_let_20 (tptp.addition _let_19 tptp.one))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (tptp.multiplication _let_18 tptp.zero))) (let ((_let_23 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (tptp.addition _let_23 _let_22))) (let ((_let_25 (= _let_18 _let_24))) (let ((_let_26 (= _let_20 (tptp.addition tptp.one _let_19)))) (let ((_let_27 (tptp.addition _let_22 _let_23))) (let ((_let_28 (= _let_24 _let_27))) (let ((_let_29 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_30 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23))) (let ((_let_31 (tptp.addition _let_30 _let_29))) (let ((_let_32 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_24) _let_31))) (let ((_let_33 (tptp.addition tptp.one _let_30))) (let ((_let_34 (= _let_23 _let_33))) (let ((_let_35 (tptp.multiplication _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (tptp.addition tptp.one _let_35))) (let ((_let_37 (= _let_23 _let_36))) (let ((_let_38 (= _let_31 (tptp.addition _let_29 _let_30)))) (let ((_let_39 (= (tptp.addition tptp.one _let_31) (tptp.addition _let_33 _let_29)))) (let ((_let_40 (tptp.multiplication _let_19 tptp.zero))) (let ((_let_41 (= _let_29 _let_40))) (let ((_let_42 (tptp.multiplication tptp.zero _let_18))) (let ((_let_43 (tptp.multiplication _let_22 _let_18))) (let ((_let_44 (= _let_43 (tptp.multiplication _let_18 _let_42)))) (let ((_let_45 (tptp.multiplication _let_18 tptp.one))) (let ((_let_46 (= _let_18 _let_45))) (let ((_let_47 (tptp.multiplication _let_23 tptp.one))) (let ((_let_48 (= _let_23 _let_47))) (let ((_let_49 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_35))) (let ((_let_50 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_51 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_36) (tptp.addition _let_50 _let_49)))) (let ((_let_52 (tptp.multiplication _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_54 (tptp.addition _let_53 _let_52))) (let ((_let_55 (= (tptp.multiplication _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_54))) (let ((_let_56 (tptp.multiplication _let_22 tptp.one))) (let ((_let_57 (tptp.addition _let_56 _let_47))) (let ((_let_58 (= (tptp.multiplication _let_27 tptp.one) _let_57))) (let ((_let_59 (= (tptp.addition _let_56 (tptp.addition _let_47 _let_45)) (tptp.addition _let_57 _let_45)))) (let ((_let_60 (tptp.addition _let_45 _let_45))) (let ((_let_61 (= _let_45 _let_60))) (let ((_let_62 (tptp.multiplication _let_30 tptp.one))) (let ((_let_63 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_47) _let_62))) (let ((_let_64 (tptp.multiplication _let_30 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_65 (= _let_49 _let_64))) (let ((_let_66 (tptp.multiplication _let_35 tptp.one))) (let ((_let_67 (= _let_66 (tptp.multiplication _let_23 _let_50)))) (let ((_let_68 (tptp.multiplication tptp.one tptp.one))) (let ((_let_69 (= tptp.one _let_68))) (let ((_let_70 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_50))) (let ((_let_71 (= _let_22 _let_56))) (let ((_let_72 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_53))) (let ((_let_73 (tptp.multiplication tptp.one _let_18))) (let ((_let_74 (= _let_18 _let_73))) (let ((_let_75 (= (tptp.multiplication _let_54 tptp.one) (tptp.addition (tptp.multiplication _let_53 tptp.one) (tptp.multiplication _let_52 tptp.one))))) (let ((_let_76 (= tptp.zero _let_42))) (let ((_let_77 (tptp.star tptp.zero))) (let ((_let_78 (tptp.multiplication tptp.zero _let_77))) (let ((_let_79 (= _let_77 (tptp.addition tptp.one _let_78)))) (let ((_let_80 (= _let_18 (tptp.addition _let_47 _let_18)))) (let ((_let_81 (= tptp.one (tptp.addition tptp.one tptp.zero)))) (let ((_let_82 (tptp.multiplication _let_29 tptp.one))) (let ((_let_83 (tptp.multiplication _let_82 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_84 (= (tptp.multiplication _let_29 _let_53) _let_83))) (let ((_let_85 (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_86 (= (tptp.multiplication _let_18 _let_50) (tptp.multiplication _let_85 tptp.one)))) (let ((_let_87 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_88 (= (tptp.multiplication _let_19 _let_87) (tptp.multiplication _let_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_89 (tptp.multiplication tptp.one _let_77))) (let ((_let_90 (= (tptp.multiplication _let_30 _let_89) (tptp.multiplication _let_62 _let_77)))) (let ((_let_91 (= _let_35 (tptp.multiplication tptp.one _let_35)))) (let ((_let_92 (= _let_77 _let_89))) (let ((_let_93 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_43))) (let ((_let_94 (tptp.addition _let_93 _let_19))) (let ((_let_95 (tptp.addition _let_43 _let_18))) (let ((_let_96 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_95) _let_94))) (let ((_let_97 (= (tptp.multiplication _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_53 _let_64)))) (let ((_let_98 (= tptp.zero _let_78))) (let ((_let_99 (= tptp.zero _let_87))) (let ((_let_100 (tptp.addition _let_85 _let_66))) (let ((_let_101 (= _let_100 (tptp.addition _let_66 _let_85)))) (let ((_let_102 (tptp.multiplication _let_30 _let_77))) (let ((_let_103 (= (tptp.addition _let_102 _let_94) (tptp.addition (tptp.addition _let_102 _let_93) _let_19)))) (let ((_let_104 (= _let_19 (tptp.addition _let_19 _let_19)))) (let ((_let_105 (= (tptp.multiplication _let_29 _let_50) (tptp.multiplication (tptp.multiplication _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) tptp.one)))) (let ((_let_106 (= (tptp.multiplication (tptp.addition _let_23 _let_82) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_35 _let_83)))) (let ((_let_107 (tptp.leq (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_73) _let_19) _let_73))) (let ((_let_108 (tptp.leq _let_100 _let_18))) (let ((_let_109 (_let_4))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_109)) _let_110 :args (_let_21 false _let_4)))) (let ((_let_112 (_let_3))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_112)) _let_113 :args (_let_25 false _let_3)))) (let ((_let_115 (_let_17))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 ((tptp.addition A B)))) (let ((_let_118 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_19 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_26 false _let_17)))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_23 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_28 false _let_17)))) (let ((_let_120 (_let_10))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 _let_22 QUANTIFIERS_INST_E_MATCHING _let_122)) :args _let_120)) _let_121 :args (_let_32 false _let_10)))) (let ((_let_124 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication A _let_1))))))) (let ((_let_125 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_126 (_let_124))) (let ((_let_127 ((tptp.star A)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_127)) :args _let_126)) _let_125 :args (_let_34 false _let_124)))) (let ((_let_129 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.star A)))) :args (_let_129))) _let_130 :args (_let_37 false _let_129)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_30 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_38 false _let_17)))) (let ((_let_133 (_let_16))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 ((tptp.addition A (tptp.addition B C))))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_29 _let_30 tptp.one QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_133)) _let_134 :args (_let_39 false _let_16)))) (let ((_let_137 (_let_13))) (let ((_let_138 (ASSUME :args _let_137))) (let ((_let_139 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_41 false _let_13)))) (let ((_let_141 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_18 tptp.zero _let_18 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_137))) _let_138 :args (_let_44 false _let_13)))) (let ((_let_143 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_144 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_145 (_let_143))) (let ((_let_146 ((tptp.multiplication A tptp.one)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_46 false _let_143)))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_48 false _let_143)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one _let_35 QUANTIFIERS_INST_E_MATCHING _let_122)) :args _let_120)) _let_121 :args (_let_51 false _let_10)))) (let ((_let_150 (_let_9))) (let ((_let_151 (ASSUME :args _let_150))) (let ((_let_152 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (tptp.one _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_152)) :args _let_150)) _let_151 :args (_let_55 false _let_9)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (_let_22 _let_23 tptp.one QUANTIFIERS_INST_E_MATCHING _let_152)) :args _let_150)) _let_151 :args (_let_58 false _let_9)))) (let ((_let_155 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_156 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_45 _let_47 _let_56 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_133)) _let_134 :args (_let_59 false _let_16)))) (let ((_let_157 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_158 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_159 (_let_157))) (let ((_let_160 ((tptp.addition A A)))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (_let_45 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_61 false _let_157)))) (let ((_let_162 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 tptp.one QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_63 false _let_13)))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_65 false _let_13)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_137))) _let_138 :args (_let_67 false _let_13)))) (let ((_let_165 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_69 false _let_143)))) (let ((_let_166 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_70 false _let_143)))) (let ((_let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_144 :args (_let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_146)) :args _let_145)) _let_144 :args (_let_71 false _let_143)))) (let ((_let_168 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_169 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QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_137))) _let_138 :args (_let_406 false _let_13)) _let_165 _let_166 _let_167 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_169 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_171)) :args _let_170)) _let_169 :args (_let_405 false _let_168)) _let_172 _let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_18 tptp.one tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_120))) _let_121 :args (_let_404 false _let_10)) _let_174 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (_let_53 _let_52 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_152)) :args _let_150)) _let_151 :args (_let_403 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (_let_372 _let_352 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_152)) :args _let_150)) _let_151 :args (_let_402 false _let_9)) _let_179 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_176 :args (tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_178)) :args _let_177)) _let_176 :args (_let_400 false _let_175)) _let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_19 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_398 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_30 _let_22 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_397 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_35 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_396 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_382 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_395 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_377 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_394 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_391 _let_378 tptp.one QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_133)) _let_134 :args (_let_393 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_386 _let_387 _let_372 QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_133)) _let_134 :args (_let_389 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_18 _let_43 _let_35 QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_133)) _let_134 :args (_let_385 false _let_16)) _let_212 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_209 :args (_let_382 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_211)) :args _let_210)) _let_209 :args (_let_384 false _let_208)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_160)) :args _let_159)) _let_158 :args (_let_381 false _let_157)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_377 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_380 false _let_13)) _let_213 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (tptp.zero _let_18 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_137)) _let_138 :args (_let_376 false _let_13)) _let_214 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_18 _let_360 _let_77 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_137)) _let_138 :args (_let_375 false _let_13)) _let_215 _let_216 _let_217 _let_218 _let_220 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (tptp.one _let_352 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_219)) :args _let_150)) _let_151 :args (_let_373 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (_let_19 _let_30 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_219)) :args _let_150)) _let_151 :args (_let_370 false _let_9)) _let_221 _let_222 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_367 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_368 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_365 _let_30 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_366 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_362 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_364 false _let_17)) _let_223 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.one tptp.one _let_19 QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_133)) _let_134 :args (_let_361 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_66 _let_358 _let_68 QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_133)) _let_134 :args (_let_359 false _let_16)) _let_224 _let_225 _let_226 _let_227 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (_let_353 _let_350 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_219)) :args _let_150)) _let_151 :args (_let_355 false _let_9)) :args (_let_348 false _let_21 false _let_25 false _let_26 false _let_28 false _let_32 false _let_424 false _let_34 false _let_37 false _let_38 false _let_39 false _let_41 false _let_44 false _let_423 false _let_46 false _let_48 false _let_422 false _let_51 false _let_420 false _let_55 false _let_419 false _let_58 false _let_80 false _let_418 false _let_417 false _let_416 false _let_415 false _let_59 false _let_413 false _let_61 false _let_411 false _let_63 false _let_65 false _let_410 false _let_408 false _let_67 false _let_407 false _let_406 false _let_69 false _let_70 false _let_71 false _let_405 false _let_72 false _let_74 false _let_404 false _let_75 false _let_403 false _let_402 false _let_76 false _let_400 false _let_79 false _let_398 false _let_397 false _let_396 false _let_395 false _let_394 false _let_393 false _let_389 false _let_385 false _let_81 false _let_384 false _let_381 false _let_380 false _let_84 false _let_376 false _let_88 false _let_375 false _let_90 false _let_91 false _let_92 false _let_96 false _let_97 false _let_373 false _let_370 false _let_98 false _let_99 false _let_368 false _let_366 false _let_364 false _let_101 false _let_361 false _let_359 false _let_103 false _let_104 false _let_105 false _let_106 false _let_355)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_100 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_186)) :args _let_185)) _let_184 :args (_let_349 false _let_183)) :args (_let_108 false _let_348 false _let_349)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_231)) :args ((or _let_230 _let_229 (not _let_231)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_344)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_345 _let_347) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_347) (REFL :args (_let_73)) :args _let_346) (FALSE_INTRO _let_345))) :args (_let_239 _let_234))) :args (_let_234 _let_239))) :args (true _let_344)) (CONG (REFL :args ((not _let_234))) (MACRO_SR_PRED_INTRO :args ((= (not _let_239) _let_233))) (REFL :args (_let_235)) :args _let_253)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_18 QUANTIFIERS_INST_E_MATCHING _let_141)) :args _let_137))) _let_138 :args (_let_234 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_238)) :args ((or _let_237 _let_239 (not _let_238)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_287)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_315 _let_288 _let_291 _let_293 _let_294 _let_295 _let_298 _let_300 _let_301 _let_318 _let_201 _let_324 _let_325 _let_327 _let_340 _let_331 _let_303 _let_335 _let_203 _let_205 _let_306 _let_311 _let_343) (SCOPE (FALSE_ELIM (TRANS (CONG _let_339 (TRANS (SYMM _let_343) (CONG (SYMM _let_342) (SYMM _let_314) :args _let_200) (CONG (TRANS (TRANS _let_342 _let_339) (TRANS _let_201 _let_206 _let_338 _let_337 _let_336 _let_334 (CONG (TRANS (TRANS (CONG _let_201 _let_330 :args _let_289) (CONG (TRANS _let_202 _let_329) (SYMM _let_328) :args _let_289) (CONG _let_326 _let_322 :args _let_289) _let_297 _let_321) _let_320) _let_317 :args _let_200))) _let_314 :args _let_200) (SYMM _let_301) (CONG _let_296 (TRANS (SYMM _let_300) (CONG _let_299 _let_290 :args _let_289)) :args _let_200) (CONG _let_297 (REFL :args (_let_244)) :args _let_200) (SYMM _let_294) (SYMM _let_293) (CONG _let_292 _let_290 :args _let_289)) :args (=)) (FALSE_INTRO _let_288))) :args (_let_74 _let_251 _let_25 _let_247 _let_246 _let_44 _let_37 _let_243 _let_241 _let_71 _let_46 _let_28 _let_58 _let_76 _let_69 _let_80 _let_48 _let_59 _let_21 _let_61 _let_70 _let_67 _let_242))) :args (_let_251 _let_21 _let_25 _let_28 _let_247 _let_37 _let_246 _let_44 _let_46 _let_48 _let_243 _let_58 _let_80 _let_242 _let_241 _let_59 _let_61 _let_67 _let_69 _let_70 _let_71 _let_74 _let_76))) :args (true _let_287)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_251) _let_248))) _let_286 _let_285 _let_283 (REFL :args ((not _let_247))) _let_281 (REFL :args ((not _let_246))) _let_279 _let_277 _let_276 (REFL :args ((not _let_243))) _let_274 _let_272 (REFL :args ((not _let_242))) (REFL :args ((not _let_241))) _let_270 _let_268 _let_267 _let_265 _let_263 _let_261 _let_259 _let_257 (REFL :args (_let_249)) :args _let_253)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_252) :args (_let_255))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_255) _let_250))) (REFL :args _let_254) :args _let_253)) _let_252 :args (_let_251 true _let_250)) _let_111 _let_114 _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (_let_23 _let_22 _let_18 QUANTIFIERS_INST_E_MATCHING _let_152)) :args _let_150)) _let_151 :args (_let_247 false _let_9)) _let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_244 _let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_246 false _let_17)) _let_142 _let_147 _let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args (tptp.one _let_35 _let_18 QUANTIFIERS_INST_E_MATCHING _let_152)) :args _let_150)) _let_151 :args (_let_243 false _let_9)) _let_154 _let_207 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_73 _let_232 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_117)) :args _let_115)) _let_116 :args (_let_242 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_232 _let_73 _let_43 QUANTIFIERS_INST_E_MATCHING _let_135)) :args _let_133)) _let_134 :args (_let_241 false _let_16)) _let_156 _let_161 _let_164 _let_165 _let_166 _let_167 _let_173 _let_179 :args (_let_249 true _let_248 false _let_21 false _let_25 false _let_28 false _let_247 false _let_37 false _let_246 false _let_44 false _let_46 false _let_48 false _let_243 false _let_58 false _let_80 false _let_242 false _let_241 false _let_59 false _let_61 false _let_67 false _let_69 false _let_70 false _let_71 false _let_74 false _let_76)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_184 :args (_let_232 _let_73 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_185)) _let_184 :args (_let_238 false _let_183)) :args (_let_239 true _let_237 false _let_238)) :args (_let_235 false _let_234 true _let_233)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_191 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 _let_73 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.leq (tptp.multiplication (tptp.star A) B) C) true))))) :args _let_192)) _let_191 :args (_let_231 false _let_190)) :args (_let_230 true _let_229 false _let_231)) _let_227 _let_226 _let_225 _let_224 _let_223 _let_222 _let_221 _let_220 _let_218 _let_217 _let_216 _let_215 _let_214 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_138 :args (_let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one QUANTIFIERS_INST_E_MATCHING _let_139)) :args _let_137)) _let_138 :args (_let_86 false _let_13)) _let_213 _let_212 _let_207 _let_180 _let_179 _let_174 _let_173 _let_172 _let_167 _let_166 _let_165 _let_164 _let_163 _let_162 _let_161 _let_156 _let_154 _let_153 _let_149 _let_148 _let_147 _let_142 _let_140 _let_136 _let_132 _let_131 _let_128 _let_123 _let_119 _let_118 _let_114 _let_111 :args (false false _let_108 true _let_107 false _let_106 false _let_105 false _let_104 false _let_103 false _let_101 false _let_99 false _let_98 false _let_97 false _let_96 false _let_92 false _let_91 false _let_90 false _let_88 false _let_86 false _let_84 false _let_81 false _let_80 false _let_79 false _let_76 false _let_75 false _let_74 false _let_72 false _let_71 false _let_70 false _let_69 false _let_67 false _let_65 false _let_63 false _let_61 false _let_59 false _let_58 false _let_55 false _let_51 false _let_48 false _let_46 false _let_44 false _let_41 false _let_39 false _let_38 false _let_37 false _let_34 false _let_32 false _let_28 false _let_26 false _let_25 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 $$unsorted)) (=> (tptp.leq (tptp.addition (tptp.multiplication C A) B) C) (tptp.leq (tptp.multiplication B (tptp.star A)) C))) _let_4 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 7.94/8.17  )
% 7.94/8.17  % SZS output end Proof for KLE143+1
% 7.94/8.17  % cvc5---1.0.5 exiting
% 7.94/8.17  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------