%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE008+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n008.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 05:26:47 EDT 2023

% Result   : Theorem 11.84s 12.04s
% Output   : Proof 11.84s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : KLE008+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n008.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Tue Aug 29 12:04:32 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 11.84/12.04  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.GO7lH0aiUU/cvc5---1.0.5_24958.p...
% 11.84/12.04  ------- get file name : TPTP file name is KLE008+1
% 11.84/12.04  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24958.smt2...
% 11.84/12.04  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.84/12.04  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.84/12.04  % SZS status Theorem for KLE008+1
% 11.84/12.04  % SZS output start Proof for KLE008+1
% 11.84/12.04  (
% 11.84/12.04  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (tptp.test X2) (= (tptp.leq X0 (tptp.multiplication X2 X1)) (and (tptp.leq X0 X1) (tptp.leq (tptp.multiplication (tptp.c X2) X0) tptp.zero)))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_14 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_16 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_19 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero))) (let ((_let_20 (= tptp.zero _let_19))) (let ((_let_21 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (= _let_16 _let_21))) (let ((_let_23 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (tptp.multiplication _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_25 (tptp.addition _let_24 tptp.zero))) (let ((_let_26 (= _let_24 _let_25))) (let ((_let_27 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_28 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_29 (= _let_28 _let_27))) (let ((_let_30 (= tptp.one _let_27))) (let ((_let_31 (= _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_32 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32))) (let ((_let_34 (= _let_32 _let_33))) (let ((_let_35 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35))) (let ((_let_37 (= tptp.zero _let_25))) (let ((_let_38 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_39 (= (tptp.multiplication _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_38)))) (let ((_let_40 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21) (tptp.addition _let_19 _let_38)))) (let ((_let_41 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_35) (tptp.addition _let_38 _let_32)))) (let ((_let_42 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_43 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_44 (_let_42))) (let ((_let_45 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_46 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (_let_46))) (let ((_let_49 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_50 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (_let_15))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_24 QUANTIFIERS_INST_ENUM)) :args _let_44)) _let_43 :args (_let_26 false _let_42)))) (let ((_let_54 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_ENUM))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_52 :args _let_54) :args _let_51))) _let_52 :args (_let_29 false _let_15)))) (let ((_let_56 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_57 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))) (let ((_let_58 (and _let_57 _let_56 _let_30))) (let ((_let_59 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_60 (= _let_59 _let_58))) (let ((_let_61 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_65 (not _let_64))) (let ((_let_66 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_67 (= _let_66 _let_65))) (let ((_let_68 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_71 (tptp.leq _let_24 tptp.zero))) (let ((_let_72 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_73 (and _let_72 _let_71))) (let ((_let_74 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32))) (let ((_let_75 (= _let_74 _let_73))) (let ((_let_76 (not _let_66))) (let ((_let_77 (or _let_76 _let_75))) (let ((_let_78 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.test X2)) (= (tptp.leq X0 (tptp.multiplication X2 X1)) (and (tptp.leq X0 X1) (tptp.leq (tptp.multiplication (tptp.c X2) X0) tptp.zero))))))) (let ((_let_79 (not _let_77))) (let ((_let_80 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_81 (or))) (let ((_let_82 (not _let_78))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_80) :args (_let_82))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_78))) (REFL :args (_let_79)) :args _let_81)) _let_80 :args (_let_79 true _let_78)))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_77 0)) (CONG (REFL :args (_let_77)) (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_66))) :args _let_81)) :args ((or _let_66 _let_77))) _let_83 :args (_let_66 true _let_77)))) (let ((_let_85 (not _let_59))) (let ((_let_86 (_let_65))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or _let_85 _let_58 (not _let_60)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_86)) :args _let_86) (REWRITE :args ((=> _let_65 (not _let_85)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) (REFL :args (_let_59)) :args _let_81)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or _let_76 _let_65 (not _let_67)))) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_70) :args (_let_68))) _let_69 :args (_let_67 false _let_68)) :args (_let_65 false _let_66 false _let_67)) :args (_let_59 true _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args _let_54) :args _let_63)) _let_62 :args (_let_60 false _let_61)) :args (_let_58 false _let_59 false _let_60)))) (let ((_let_88 (not _let_58))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 2)) :args ((or _let_30 _let_88))) _let_87 :args (_let_30 false _let_58)))) (let ((_let_90 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_91 (= _let_90 _let_31))) (let ((_let_92 (or _let_76 _let_91))) (let ((_let_93 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (= tptp.one _let_28))) (let ((_let_96 (and _let_56 _let_57 _let_95))) (let ((_let_97 (= _let_90 _let_96))) (let ((_let_98 (and _let_30 _let_29))) (let ((_let_99 (ASSUME :args (_let_29)))) (let ((_let_100 (SYMM (SYMM _let_99)))) (let ((_let_101 (ASSUME :args (_let_30)))) (let ((_let_102 (SYMM _let_101))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 1)) :args ((or _let_56 _let_88))) _let_87 :args (_let_56 false _let_58)))) (let ((_let_104 (not _let_56))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_91)) :args ((or _let_31 (not _let_90) (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_97)) :args ((or _let_90 (not _let_96) (not _let_97)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_96)) :args ((or (not _let_57) _let_104 _let_96 (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_58 0)) :args ((or _let_57 _let_88))) _let_87 :args (_let_57 false _let_58)) _let_103 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_98)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_99 _let_101) (SCOPE (TRANS (SYMM _let_102) (SYMM _let_100)) :args (_let_29 _let_30))) :args (_let_30 _let_29))) :args (true _let_98)) _let_89 _let_55 :args (_let_95 false _let_30 false _let_29)) :args (_let_96 false _let_57 false _let_56 false _let_95)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_63)) _let_62 :args (_let_97 false _let_61)) :args (_let_90 false _let_96 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_76 _let_91 (not _let_92)))) _let_84 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_94 :args _let_54) :args (_let_93)))) _let_94 :args (_let_92 false _let_93)) :args (_let_91 false _let_66 false _let_92)) :args (_let_31 false _let_90 false _let_91)))) (let ((_let_106 (= _let_74 _let_34))) (let ((_let_107 (not _let_34))) (let ((_let_108 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (_let_108))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32 QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_109 :args (_let_106 false _let_108)))) (let ((_let_112 (tptp.addition tptp.one tptp.zero))) (let ((_let_113 (= (tptp.addition tptp.zero tptp.one) _let_112))) (let ((_let_114 (= tptp.one _let_112))) (let ((_let_115 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_116 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_115))) (let ((_let_117 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_118 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_117))) (let ((_let_119 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_27) (tptp.addition _let_117 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)))) (let ((_let_120 (= (tptp.multiplication (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_32 _let_115)))) (let ((_let_121 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.addition _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_122 (tptp.leq tptp.zero tptp.zero))) (let ((_let_123 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_124 (tptp.multiplication _let_23 _let_32))) (let ((_let_125 (= _let_124 (tptp.multiplication (tptp.multiplication _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_126 (= (tptp.multiplication _let_23 _let_33) (tptp.addition _let_24 _let_124)))) (let ((_let_127 (= _let_72 _let_36))) (let ((_let_128 (not _let_74))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_77 1)) _let_83 :args ((not _let_75) true _let_77)))) (let ((_let_130 (_let_75))) (let ((_let_131 (not _let_106))) (let ((_let_132 (_let_106))) (let ((_let_133 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_134 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_135 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_136 (_let_14))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 (_let_8))) (let ((_let_139 (ASSUME :args _let_138))) (let ((_let_140 (not _let_30))) (let ((_let_141 (and _let_113 _let_114 _let_116 _let_118 _let_34 _let_30 _let_119 _let_120 _let_121))) (let ((_let_142 (APPLY_UF tptp.addition))) (let ((_let_143 (ASSUME :args (_let_116)))) (let ((_let_144 (APPLY_UF tptp.multiplication))) (let ((_let_145 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_146 (ASSUME :args (_let_114)))) (let ((_let_147 (ASSUME :args (_let_113)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (ASSUME :args (_let_118)))) (let ((_let_150 (ASSUME :args (_let_119)))) (let ((_let_151 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_152 (CONG (TRANS (TRANS (CONG _let_151 _let_101 :args _let_142) (SYMM (SYMM _let_150)) (CONG (SYMM _let_149) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28)) :args _let_142) _let_102 _let_146 _let_148) (TRANS (SYMM _let_148) (SYMM _let_146))) _let_145 :args _let_144))) (let ((_let_153 (ASSUME :args (_let_120)))) (let ((_let_154 (REFL :args (_let_32)))) (let ((_let_155 (CONG _let_154 _let_143 :args _let_142))) (let ((_let_156 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_157 (ASSUME :args (_let_121)))) (let ((_let_158 (ASSUME :args (_let_34)))) (let ((_let_159 (SYMM _let_158))) (let ((_let_160 (= tptp.zero (tptp.addition tptp.zero tptp.zero)))) (let ((_let_161 (= _let_160 _let_122))) (let ((_let_162 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_163 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_164 (_let_11))) (let ((_let_165 (ASSUME :args _let_164))) (let ((_let_166 (_let_9))) (let ((_let_167 (ASSUME :args _let_166))) (let ((_let_168 (not _let_31))) (let ((_let_169 (not _let_26))) (let ((_let_170 (and _let_122 _let_123 _let_34 _let_26 _let_31 _let_56 _let_125 _let_126))) (let ((_let_171 (ASSUME :args (_let_122)))) (let ((_let_172 (ASSUME :args (_let_123)))) (let ((_let_173 (ASSUME :args (_let_56)))) (let ((_let_174 (ASSUME :args (_let_31)))) (let ((_let_175 (SYMM (SYMM _let_174)))) (let ((_let_176 (CONG (TRANS (CONG _let_175 _let_151 :args _let_144) (SYMM _let_173)) _let_145 :args _let_144))) (let ((_let_177 (ASSUME :args (_let_125)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (ASSUME :args (_let_126)))) (let ((_let_180 (ASSUME :args (_let_26)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_109 :args (_let_127 false _let_108)))) (let ((_let_183 (not _let_127))) (let ((_let_184 (not _let_36))) (let ((_let_185 (_let_127))) (let ((_let_186 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_73)) (REORDERING (CNF_EQUIV_POS2 :args _let_185) :args ((or _let_72 _let_184 _let_183))) _let_182 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_170)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_171 _let_172 _let_173 _let_174 _let_177 _let_158 _let_179 _let_180) (SCOPE (TRUE_ELIM (TRANS (CONG (TRANS (SYMM _let_181) (CONG (REFL :args (_let_24)) (TRANS _let_172 (SYMM _let_176) _let_178) :args _let_142) (SYMM _let_179) (CONG (REFL :args (_let_23)) _let_159 :args _let_144) (SYMM _let_178) _let_176 (SYMM _let_172)) (REFL :args (tptp.zero)) :args (APPLY_UF tptp.leq)) (TRUE_INTRO _let_171))) :args (_let_122 _let_123 _let_56 _let_31 _let_125 _let_34 _let_126 _let_26))) :args (_let_122 _let_123 _let_34 _let_26 _let_31 _let_56 _let_125 _let_126))) :args (true _let_170)) :args ((or _let_71 (not _let_122) (not _let_123) _let_107 _let_169 _let_168 _let_104 (not _let_125) (not _let_126)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_166)) _let_167 :args (_let_126 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_165 :args (_let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_164)) _let_165 :args (_let_125 false _let_11)) _let_105 _let_103 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_163 :args _let_133) :args (_let_162))) _let_163 :args (_let_123 false _let_162)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_161)) :args ((or _let_122 (not _let_160) (not _let_161)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_44)) _let_43 :args (_let_160 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_109 :args (tptp.zero tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_110))) _let_109 :args (_let_161 false _let_108)) :args (_let_122 false _let_160 false _let_161)) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_141)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_143 _let_146 _let_147 _let_101 _let_149 _let_150 _let_153 _let_157 _let_158) (SCOPE (TRANS _let_143 (SYMM _let_152) _let_153 (SYMM _let_155) (CONG (SYMM _let_159) _let_145 :args _let_142) (SYMM _let_157) (CONG _let_156 (TRANS _let_155 (SYMM _let_153) _let_152 (SYMM _let_143)) :args _let_142)) :args (_let_116 _let_114 _let_113 _let_30 _let_118 _let_119 _let_120 _let_121 _let_34))) :args (_let_113 _let_114 _let_116 _let_118 _let_34 _let_30 _let_119 _let_120 _let_121))) :args (true _let_141)) :args ((or (not _let_113) _let_36 (not _let_114) (not _let_116) (not _let_118) _let_107 _let_140 (not _let_119) (not _let_120) (not _let_121)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_136)) _let_137 :args (_let_121 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_138)) _let_139 :args (_let_120 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_136)) _let_137 :args (_let_119 false _let_14)) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args _let_70) :args (_let_134))) _let_135 :args (_let_118 false _let_134)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_133) :args _let_48)) _let_47 :args (_let_116 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args _let_44)) _let_43 :args (_let_114 false _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (tptp.zero tptp.one QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_52 :args (_let_113 false _let_15)) (REORDERING (CNF_EQUIV_POS1 :args _let_132) :args ((or _let_128 _let_34 _let_131))) _let_111 (CNF_EQUIV_NEG2 :args _let_130) _let_129 :args (_let_128 false _let_72 false _let_127 false _let_71 false _let_126 false _let_125 false _let_31 false _let_56 false _let_26 false _let_123 false _let_122 false _let_36 false _let_121 false _let_120 false _let_119 false _let_30 false _let_118 false _let_116 false _let_114 false _let_113 false _let_34 false _let_106 true _let_73 true _let_75)))) (let ((_let_187 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_130) :args ((or _let_74 _let_73 _let_75))) _let_186 _let_129 :args (_let_73 true _let_74 true _let_75)))) (let ((_let_188 (not _let_73))) (let ((_let_189 (= _let_71 _let_37))) (let ((_let_190 (not _let_41))) (let ((_let_191 (_let_190))) (let ((_let_192 (ASSUME :args (_let_41)))) (let ((_let_193 (ASSUME :args (_let_107)))) (let ((_let_194 (ASSUME :args (_let_18)))) (let ((_let_195 (ASSUME :args (_let_39)))) (let ((_let_196 (ASSUME :args (_let_37)))) (let ((_let_197 (ASSUME :args (_let_20)))) (let ((_let_198 (ASSUME :args (_let_40)))) (let ((_let_199 (ASSUME :args (_let_22)))) (let ((_let_200 (ASSUME :args (_let_17)))) (let ((_let_201 (ASSUME :args (_let_36)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_192 (MODUS_PONENS (AND_INTRO _let_195 _let_196 _let_99 _let_101 _let_174 _let_199 _let_198 _let_193 _let_201 _let_194 _let_180 _let_197 _let_200) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG _let_151 (SYMM _let_201) :args _let_144) (CONG (TRANS (CONG _let_151 (TRANS (SYMM (SYMM _let_200)) (SYMM (SYMM _let_199))) :args _let_144) (SYMM (SYMM _let_198)) (CONG (TRANS (SYMM _let_197) (TRANS (SYMM (SYMM _let_196)) _let_181 (CONG _let_175 _let_156 :args _let_144))) (REFL :args (_let_38)) :args _let_142) (SYMM _let_195) (CONG (TRANS _let_100 _let_102) _let_156 :args _let_144) (SYMM _let_194)) _let_154 :args _let_142) :args (=)) (FALSE_INTRO _let_193))) :args (_let_39 _let_37 _let_29 _let_30 _let_31 _let_22 _let_40 _let_107 _let_36 _let_18 _let_26 _let_20 _let_17)))) :args (_let_17 _let_18 _let_36 _let_20 _let_107 _let_22 _let_26 _let_31 _let_30 _let_29 _let_37 _let_39 _let_40 _let_41)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_191))) (TRUE_INTRO (SYMM (SYMM _let_192))))) :args (_let_41 _let_190)) :args ((not (and _let_17 _let_18 _let_36 _let_20 _let_107 _let_22 _let_26 _let_31 _let_30 _let_29 _let_37 _let_39 _let_40 _let_41)) SB_LITERAL))) (CONG (REFL :args ((not _let_17))) (REFL :args ((not _let_18))) (REFL :args (_let_184)) (REFL :args ((not _let_20))) (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_34))) (REFL :args ((not _let_22))) (REFL :args (_let_169)) (REFL :args (_let_168)) (REFL :args (_let_140)) (REFL :args ((not _let_29))) (REFL :args ((not _let_37))) (REFL :args ((not _let_39))) (REFL :args ((not _let_40))) (REFL :args _let_191) :args _let_81)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_166)) _let_167 :args (_let_41 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_167 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_166)) _let_167 :args (_let_40 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_138)) _let_139 :args (_let_39 false _let_8)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_189)) :args ((or (not _let_71) _let_37 (not _let_189)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 1)) :args ((or _let_71 _let_188))) _let_187 :args (_let_71 false _let_73)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (_let_24 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_110)) _let_109 :args (_let_189 false _let_108)) :args (_let_37 false _let_71 false _let_189)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_185) :args ((or (not _let_72) _let_36 _let_183))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_73 0)) :args ((or _let_72 _let_188))) _let_187 :args (_let_72 false _let_73)) _let_182 :args (_let_36 false _let_72 false _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_132) :args ((or _let_74 _let_107 _let_131))) _let_186 _let_111 :args (_let_107 true _let_74 false _let_106)) _let_105 _let_89 _let_55 _let_53 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_52 :args (_let_22 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_49))) _let_50 :args (_let_20 false _let_49)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_45) :args _let_48)) _let_47 :args (_let_18 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args _let_45) :args _let_44)) _let_43 :args (_let_17 false _let_42)) :args (false false _let_41 false _let_40 false _let_39 false _let_37 false _let_36 true _let_34 false _let_31 false _let_30 false _let_29 false _let_26 false _let_22 false _let_20 false _let_18 false _let_17)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.84/12.05  )
% 11.84/12.05  % SZS output end Proof for KLE008+1
% 11.84/12.05  % cvc5---1.0.5 exiting
% 11.84/12.05  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------