%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE147+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n013.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 50.72s 51.00s
% Output   : Proof 50.78s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : KLE147+1 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n013.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Aug 29 11:19:46 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 50.72/51.00  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CbOW1MOsHL/cvc5---1.0.5_10703.p...
% 50.72/51.00  ------- get file name : TPTP file name is KLE147+1
% 50.72/51.00  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_10703.smt2...
% 50.72/51.00  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 50.72/51.00  --- Run --no-e-matching --full-saturate-quant at 5...
% 50.72/51.00  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 50.72/51.00  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 50.72/51.00  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 50.72/51.00  --- Run --trigger-sel=max --full-saturate-quant at 5...
% 50.72/51.00  --- Run --multi-trigger-when-single --multi-trigger-priority --full-saturate-quant at 5...
% 50.72/51.00  --- Run --multi-trigger-cache --full-saturate-quant at 5...
% 50.72/51.00  --- Run --prenex-quant=none --full-saturate-quant at 5...
% 50.72/51.00  % SZS status Theorem for KLE147+1
% 50.72/51.00  % SZS output start Proof for KLE147+1
% 50.72/51.00  (
% 50.72/51.00  (let ((_let_1 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.strong_iteration (tptp.multiplication (tptp.star X0) X1)))) (= _let_1 (tptp.multiplication (tptp.star X1) _let_1)))))) (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 $$unsorted)) (let ((_let_1 (tptp.strong_iteration A))) (= _let_1 (tptp.addition (tptp.multiplication A _let_1) tptp.one)))))) (let ((_let_5 (forall ((A $$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) (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 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) 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 (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.addition tptp.one _let_14))) (let ((_let_16 (= _let_13 _let_15))) (let ((_let_17 (tptp.multiplication _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.strong_iteration _let_17))) (let ((_let_19 (tptp.multiplication _let_17 _let_18))) (let ((_let_20 (tptp.addition _let_19 tptp.one))) (let ((_let_21 (= _let_18 _let_20))) (let ((_let_22 (tptp.multiplication _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_24 (tptp.addition _let_23 _let_22))) (let ((_let_25 (= (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_24))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_27 (tptp.addition _let_18 _let_18))) (let ((_let_28 (= _let_18 _let_27))) (let ((_let_29 (tptp.leq _let_20 _let_18))) (let ((_let_30 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18))) (let ((_let_31 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_27) (tptp.addition _let_30 _let_30)))) (let ((_let_32 (tptp.multiplication _let_22 _let_18))) (let ((_let_33 (tptp.multiplication _let_23 _let_18))) (let ((_let_34 (tptp.addition _let_33 _let_32))) (let ((_let_35 (= (tptp.multiplication _let_24 _let_18) _let_34))) (let ((_let_36 (= (tptp.addition _let_30 _let_20) (tptp.addition (tptp.addition _let_30 _let_19) tptp.one)))) (let ((_let_37 (tptp.leq (tptp.addition _let_30 _let_18) _let_18))) (let ((_let_38 (= (tptp.addition _let_30 _let_34) (tptp.addition (tptp.addition _let_30 _let_33) _let_32)))) (let ((_let_39 (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= _let_1 (tptp.addition tptp.one (tptp.multiplication _let_1 A))))))) (let ((_let_40 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (_let_39))) (let ((_let_42 ((tptp.star A)))) (let ((_let_43 (_let_4))) (let ((_let_44 (ASSUME :args _let_43))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_44 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.strong_iteration A)))) :args _let_43)) _let_44 :args (_let_21 false _let_4)))) (let ((_let_46 (_let_7))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_49 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_49))) (let ((_let_52 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_52))) _let_53 :args (_let_28 false _let_52)))) (let ((_let_55 (= _let_18 (tptp.addition _let_20 _let_18)))) (let ((_let_56 (= _let_29 _let_55))) (let ((_let_57 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 (not _let_28))) (let ((_let_61 (not _let_21))) (let ((_let_62 (and _let_21 _let_28))) (let ((_let_63 (APPLY_UF tptp.addition))) (let ((_let_64 (REFL :args (_let_18)))) (let ((_let_65 (ASSUME :args (_let_21)))) (let ((_let_66 (SYMM (SYMM _let_65)))) (let ((_let_67 (ASSUME :args (_let_28)))) (let ((_let_68 (SYMM _let_67))) (let ((_let_69 (_let_8))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (_let_11))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 (tptp.star SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_74 (tptp.multiplication _let_73 _let_18))) (let ((_let_75 (tptp.leq _let_74 _let_18))) (let ((_let_76 (not _let_37))) (let ((_let_77 (or _let_76 _let_75))) (let ((_let_78 (forall ((A $$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_79 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (= _let_18 (tptp.addition _let_74 _let_18)))) (let ((_let_81 (= _let_75 _let_80))) (let ((_let_82 (not _let_75))) (let ((_let_83 (tptp.multiplication tptp.one _let_18))) (let ((_let_84 (tptp.multiplication _let_73 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_85 (tptp.multiplication _let_84 _let_18))) (let ((_let_86 (tptp.addition _let_85 _let_83))) (let ((_let_87 (= (tptp.addition _let_18 _let_86) (tptp.addition (tptp.addition _let_18 _let_85) _let_83)))) (let ((_let_88 (tptp.addition _let_83 _let_85))) (let ((_let_89 (= (tptp.addition _let_83 _let_88) (tptp.addition (tptp.addition _let_83 _let_83) _let_85)))) (let ((_let_90 (tptp.addition _let_84 tptp.one))) (let ((_let_91 (= (tptp.multiplication _let_90 _let_18) _let_86))) (let ((_let_92 (= _let_18 _let_83))) (let ((_let_93 (tptp.addition tptp.one _let_84))) (let ((_let_94 (= (tptp.multiplication _let_93 _let_18) _let_88))) (let ((_let_95 (= _let_93 _let_90))) (let ((_let_96 (= _let_73 _let_93))) (let ((_let_97 (= _let_18 _let_74))) (let ((_let_98 (not _let_80))) (let ((_let_99 (_let_12))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (not _let_97))) (let ((_let_102 (_let_2))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 (or))) (let ((_let_105 (_let_101))) (let ((_let_106 (not _let_87))) (let ((_let_107 (not _let_89))) (let ((_let_108 (not _let_91))) (let ((_let_109 (not _let_92))) (let ((_let_110 (not _let_94))) (let ((_let_111 (not _let_95))) (let ((_let_112 (not _let_96))) (let ((_let_113 (REFL :args (_let_60)))) (let ((_let_114 (and _let_101 _let_96 _let_95 _let_94 _let_92 _let_28 _let_91 _let_89 _let_87))) (let ((_let_115 (ASSUME :args _let_105))) (let ((_let_116 (APPLY_UF tptp.multiplication))) (let ((_let_117 (ASSUME :args (_let_96)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (CONG _let_118 _let_64 :args _let_116))) (let ((_let_120 (ASSUME :args (_let_94)))) (let ((_let_121 (REFL :args (_let_85)))) (let ((_let_122 (ASSUME :args (_let_92)))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (SYMM _let_123))) (let ((_let_125 (ASSUME :args (_let_89)))) (let ((_let_126 (SYMM _let_119))) (let ((_let_127 (ASSUME :args (_let_95)))) (let ((_let_128 (ASSUME :args (_let_91)))) (let ((_let_129 (ASSUME :args (_let_87)))) (let ((_let_130 (not _let_38))) (let ((_let_131 (not _let_36))) (let ((_let_132 (not _let_35))) (let ((_let_133 (not _let_31))) (let ((_let_134 (not _let_26))) (let ((_let_135 (not _let_25))) (let ((_let_136 (not _let_29))) (let ((_let_137 (not _let_16))) (let ((_let_138 (ASSUME :args (_let_29)))) (let ((_let_139 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_140 (ASSUME :args (_let_16)))) (let ((_let_141 (ASSUME :args (_let_25)))) (let ((_let_142 (CONG (TRANS (SYMM _let_141) (CONG (SYMM _let_140) _let_139 :args _let_116)) _let_64 :args _let_116))) (let ((_let_143 (ASSUME :args (_let_35)))) (let ((_let_144 (ASSUME :args (_let_26)))) (let ((_let_145 (CONG (SYMM (SYMM _let_144)) _let_64 :args _let_116))) (let ((_let_146 (ASSUME :args (_let_31)))) (let ((_let_147 (REFL :args (_let_30)))) (let ((_let_148 (ASSUME :args (_let_38)))) (let ((_let_149 (ASSUME :args (_let_36)))) (let ((_let_150 (ASSUME :args (_let_76)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_138 _let_140 _let_141 _let_143 _let_144 _let_67 _let_146 _let_148 _let_149 _let_65 _let_150) :args (_let_16 _let_21 _let_25 _let_29 _let_26 _let_28 _let_31 _let_76 _let_35 _let_36 _let_38)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_150)) (CONG (TRANS (CONG _let_147 _let_66 :args _let_63) (SYMM (SYMM _let_149)) (CONG (TRANS (CONG _let_147 (TRANS (SYMM _let_142) _let_143) :args _let_63) (SYMM (SYMM _let_148)) (CONG (TRANS (TRANS (CONG _let_147 (SYMM _let_145) :args _let_63) (SYMM _let_146) (CONG _let_139 _let_68 :args _let_116)) _let_145) (REFL :args (_let_32)) :args _let_63) (SYMM _let_143) _let_142) (REFL :args (tptp.one)) :args _let_63)) _let_64 :args (APPLY_UF tptp.leq)) (TRUE_INTRO _let_138))) :args (_let_29 _let_16 _let_25 _let_35 _let_26 _let_28 _let_31 _let_38 _let_36 _let_21 _let_76)) :args ((not (and _let_16 _let_21 _let_25 _let_29 _let_26 _let_28 _let_31 _let_76 _let_35 _let_36 _let_38)) SB_LITERAL))) (CONG (REFL :args (_let_137)) (REFL :args (_let_61)) (REFL :args (_let_135)) (REFL :args (_let_136)) (REFL :args (_let_134)) _let_113 (REFL :args (_let_133)) (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_37))) (REFL :args (_let_132)) (REFL :args (_let_131)) (REFL :args (_let_130)) :args _let_104)) :args ((or _let_137 _let_61 _let_136 _let_135 _let_134 _let_60 _let_133 _let_37 _let_132 _let_131 _let_130))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_32 _let_33 _let_30 QUANTIFIERS_INST_CBQI_PROP)) :args _let_71)) _let_72 :args (_let_38 false _let_11)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_75 (not _let_77)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or _let_82 _let_80 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_114)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_115 _let_117 _let_120 _let_122 _let_67 _let_125 _let_127 _let_128 _let_129) (SCOPE (FALSE_ELIM (TRANS (CONG _let_64 (TRANS (CONG (TRANS _let_126 _let_120 (CONG _let_123 _let_121 :args _let_63)) _let_124 :args _let_63) (SYMM _let_129) (CONG _let_124 (TRANS (SYMM _let_128) (CONG (TRANS (SYMM _let_127) _let_118) _let_64 :args _let_116) _let_126 _let_120) :args _let_63) (SYMM (SYMM _let_125)) (CONG (TRANS (CONG _let_123 _let_123 :args _let_63) _let_68 _let_124) _let_121 :args _let_63) (SYMM _let_120) _let_119) :args (=)) (FALSE_INTRO _let_115))) :args (_let_101 _let_96 _let_94 _let_92 _let_28 _let_89 _let_95 _let_91 _let_87))) :args (_let_101 _let_96 _let_95 _let_94 _let_92 _let_28 _let_91 _let_89 _let_87))) :args (true _let_114)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_97))) (REFL :args (_let_112)) (REFL :args (_let_111)) (REFL :args (_let_110)) (REFL :args (_let_109)) _let_113 (REFL :args (_let_108)) (REFL :args (_let_107)) (REFL :args (_let_106)) (REFL :args (_let_98)) :args _let_104)) :args ((or _let_97 _let_112 _let_111 _let_110 _let_109 _let_60 _let_98 _let_108 _let_107 _let_106))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_103) :args _let_102)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args _let_105) :args _let_104)) _let_103 :args (_let_101 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_96 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (tptp.one _let_84 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args _let_99)) _let_100 :args (_let_95 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.one _let_84 _let_18 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_94 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_50 :args (_let_92 false _let_49)) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_84 tptp.one _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_46)) _let_47 :args (_let_91 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_85 _let_83 _let_83 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) _let_72 :args (_let_89 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_83 _let_85 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) _let_72 :args (_let_87 false _let_11)) :args (_let_98 true _let_97 false _let_96 false _let_95 false _let_94 false _let_92 false _let_28 false _let_91 false _let_89 false _let_87)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_74 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_59)) _let_58 :args (_let_81 false _let_57)) :args (_let_82 true _let_80 false _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 _let_18 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A C) (tptp.multiplication (tptp.star A) B)))) :args (_let_78))) _let_79 :args (_let_77 false _let_78)) :args (_let_76 true _let_75 false _let_77)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (tptp.one _let_19 _let_30 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) _let_72 :args (_let_36 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_23 _let_22 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_46)) _let_47 :args (_let_35 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_18 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_69)) _let_70 :args (_let_31 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_56)) :args ((or _let_29 (not _let_55) (not _let_56)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_62)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_67 _let_65) (SCOPE (TRANS (SYMM _let_68) (CONG _let_66 _let_64 :args _let_63)) :args (_let_28 _let_21))) :args (_let_21 _let_28))) :args (true _let_62)) :args ((or _let_61 _let_55 _let_60))) _let_45 _let_54 :args (_let_55 false _let_21 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_20 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.leq A B)))) :args _let_59)) _let_58 :args (_let_56 false _let_57)) :args (_let_29 false _let_55 false _let_56)) _let_54 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_50 :args (_let_26 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.one _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_25 false _let_7)) _let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_42)) :args _let_41)) _let_40 :args (_let_16 false _let_39)) :args (false false _let_38 true _let_37 false _let_36 false _let_35 false _let_31 false _let_29 false _let_28 false _let_26 false _let_25 false _let_21 false _let_16)) :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))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) _let_9 _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) (forall ((A $$unsorted)) (let ((_let_1 (tptp.star A))) (= (tptp.addition tptp.one (tptp.multiplication A _let_1)) _let_1))) _let_6 _let_5 (forall ((A $$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 $$unsorted)) (=> (tptp.leq C (tptp.addition (tptp.multiplication A C) B)) (tptp.leq C (tptp.multiplication (tptp.strong_iteration A) B)))) (forall ((A $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 50.78/51.01  )
% 50.78/51.01  % SZS output end Proof for KLE147+1
% 50.78/51.01  % cvc5---1.0.5 exiting
% 50.78/51.01  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------