%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : KLE028+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 05:26:58 EDT 2023

% Result   : Theorem 4.45s 4.70s
% Output   : Proof 4.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : KLE028+4 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n021.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Tue Aug 29 11:32:14 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 4.45/4.70  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.T08KokGFX3/cvc5---1.0.5_17267.p...
% 4.45/4.70  ------- get file name : TPTP file name is KLE028+4
% 4.45/4.70  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17267.smt2...
% 4.45/4.70  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 4.45/4.70  % SZS status Theorem for KLE028+4
% 4.45/4.70  % SZS output start Proof for KLE028+4
% 4.45/4.70  (
% 4.45/4.70  (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (let ((_let_1 (tptp.c X5))) (let ((_let_2 (tptp.c X4))) (let ((_let_3 (tptp.addition (tptp.multiplication X4 (tptp.addition (tptp.multiplication X5 X0) (tptp.multiplication _let_1 X1))) (tptp.multiplication _let_2 (tptp.addition (tptp.multiplication X5 X2) (tptp.multiplication _let_1 X3)))))) (let ((_let_4 (tptp.addition (tptp.multiplication X5 (tptp.addition (tptp.multiplication X4 X0) (tptp.multiplication _let_2 X2))) (tptp.multiplication _let_1 (tptp.addition (tptp.multiplication X4 X1) (tptp.multiplication _let_2 X3)))))) (=> (and (tptp.test X4) (tptp.test X5)) (and (tptp.leq _let_3 _let_4) (tptp.leq _let_4 _let_3))))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_4 (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_5 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_10 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_12 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_13 (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_16 (tptp.multiplication _let_15 (tptp.addition _let_14 _let_13)))) (let ((_let_17 (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.addition _let_18 _let_17)))) (let ((_let_20 (tptp.addition _let_19 _let_16))) (let ((_let_21 (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_22 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_23 (tptp.multiplication _let_12 (tptp.addition _let_22 _let_21)))) (let ((_let_24 (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 (tptp.addition _let_25 _let_24)))) (let ((_let_27 (tptp.addition _let_26 _let_23))) (let ((_let_28 (tptp.leq _let_27 _let_20))) (let ((_let_29 (tptp.leq _let_20 _let_27))) (let ((_let_30 (and _let_29 _let_28))) (let ((_let_31 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_32 (not _let_31))) (let ((_let_33 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_34 (not _let_33))) (let ((_let_35 (or _let_34 _let_32 _let_30))) (let ((_let_36 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted) (X5 $$unsorted)) (let ((_let_1 (tptp.c X5))) (let ((_let_2 (tptp.c X4))) (let ((_let_3 (tptp.addition (tptp.multiplication X4 (tptp.addition (tptp.multiplication X5 X0) (tptp.multiplication _let_1 X1))) (tptp.multiplication _let_2 (tptp.addition (tptp.multiplication X5 X2) (tptp.multiplication _let_1 X3)))))) (let ((_let_4 (tptp.addition (tptp.multiplication X5 (tptp.addition (tptp.multiplication X4 X0) (tptp.multiplication _let_2 X2))) (tptp.multiplication _let_1 (tptp.addition (tptp.multiplication X4 X1) (tptp.multiplication _let_2 X3)))))) (or (not (tptp.test X4)) (not (tptp.test X5)) (and (tptp.leq _let_3 _let_4) (tptp.leq _let_4 _let_3)))))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or))) (let ((_let_40 (not _let_36))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_38) :args (_let_40))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_39)) _let_38 :args (_let_37 true _let_36)))) (let ((_let_42 (tptp.leq _let_20 _let_20))) (let ((_let_43 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_24))) (let ((_let_44 (= _let_43 (tptp.addition _let_43 _let_43)))) (let ((_let_45 (tptp.addition _let_16 _let_43))) (let ((_let_46 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_18))) (let ((_let_47 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_17))) (let ((_let_48 (tptp.addition _let_47 _let_46))) (let ((_let_49 (= (tptp.addition _let_47 (tptp.addition _let_46 _let_45)) (tptp.addition _let_48 _let_45)))) (let ((_let_50 (tptp.multiplication _let_15 _let_14))) (let ((_let_51 (tptp.multiplication _let_15 _let_13))) (let ((_let_52 (tptp.addition _let_51 _let_50))) (let ((_let_53 (= (tptp.addition _let_51 (tptp.addition _let_50 _let_43)) (tptp.addition _let_52 _let_43)))) (let ((_let_54 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_25))) (let ((_let_55 (tptp.addition _let_50 _let_51))) (let ((_let_56 (= (tptp.addition _let_50 (tptp.addition _let_51 _let_54)) (tptp.addition _let_55 _let_54)))) (let ((_let_57 (= (tptp.addition _let_54 _let_52) (tptp.addition (tptp.addition _let_54 _let_51) _let_50)))) (let ((_let_58 (tptp.addition _let_45 _let_54))) (let ((_let_59 (= _let_58 (tptp.addition _let_54 _let_45)))) (let ((_let_60 (tptp.multiplication _let_12 _let_21))) (let ((_let_61 (tptp.addition _let_54 _let_60))) (let ((_let_62 (tptp.addition _let_60 _let_54))) (let ((_let_63 (= _let_62 _let_61))) (let ((_let_64 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_65 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) (tptp.multiplication _let_64 _let_12)))) (let ((_let_66 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_67 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (tptp.multiplication _let_64 _let_66)))) (let ((_let_68 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11)) (tptp.multiplication _let_15 _let_66)))) (let ((_let_69 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (tptp.multiplication _let_66 _let_15)))) (let ((_let_70 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (tptp.multiplication _let_66 _let_64)))) (let ((_let_71 (= (tptp.c (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (tptp.multiplication _let_12 _let_64)))) (let ((_let_72 (= _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_73 (= _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_74 (tptp.addition _let_43 _let_54))) (let ((_let_75 (= (tptp.addition _let_43 _let_61) (tptp.addition _let_74 _let_60)))) (let ((_let_76 (= (tptp.addition _let_16 _let_74) _let_58))) (let ((_let_77 (tptp.addition _let_54 _let_43))) (let ((_let_78 (= (tptp.addition _let_60 _let_77) (tptp.addition _let_62 _let_43)))) (let ((_let_79 (= (tptp.addition _let_12 _let_15) (tptp.addition _let_15 _let_12)))) (let ((_let_80 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_15) (tptp.addition _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_81 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_12) (tptp.addition _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_82 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_83 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_84 (= _let_83 _let_82))) (let ((_let_85 (tptp.multiplication _let_15 _let_12))) (let ((_let_86 (= _let_85 (tptp.c _let_83)))) (let ((_let_87 (tptp.multiplication _let_12 _let_15))) (let ((_let_88 (= _let_87 (tptp.c _let_82)))) (let ((_let_89 (tptp.addition _let_60 _let_26))) (let ((_let_90 (= _let_89 (tptp.addition _let_26 _let_60)))) (let ((_let_91 (= (tptp.addition _let_16 _let_46) (tptp.addition _let_46 _let_16)))) (let ((_let_92 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_66))) (let ((_let_93 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_64))) (let ((_let_94 (tptp.multiplication _let_12 _let_22))) (let ((_let_95 (= _let_94 (tptp.multiplication (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_96 (= _let_60 (tptp.multiplication _let_87 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_97 (= _let_54 (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_98 (= _let_43 (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_15) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_99 (= _let_50 (tptp.multiplication (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_100 (= _let_51 (tptp.multiplication _let_85 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_101 (= _let_46 (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_102 (= _let_47 (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_12) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_103 (tptp.addition _let_94 _let_60))) (let ((_let_104 (= (tptp.addition _let_94 _let_89) (tptp.addition _let_103 _let_26)))) (let ((_let_105 (tptp.addition _let_46 _let_47))) (let ((_let_106 (= _let_105 _let_48))) (let ((_let_107 (= _let_55 _let_52))) (let ((_let_108 (= _let_77 _let_74))) (let ((_let_109 (= _let_19 _let_105))) (let ((_let_110 (= _let_16 _let_55))) (let ((_let_111 (= _let_26 _let_77))) (let ((_let_112 (= _let_23 _let_103))) (let ((_let_113 (= _let_27 (tptp.addition _let_23 _let_26)))) (let ((_let_114 (= _let_20 (tptp.addition _let_20 _let_20)))) (let ((_let_115 (= _let_114 _let_42))) (let ((_let_116 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (_let_118))) (let ((_let_121 ((tptp.addition A A)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_115)) :args ((or _let_42 (not _let_114) (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_114 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_20 _let_20 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A B)))) :args (_let_116)))) _let_117 :args (_let_115 false _let_116)) :args (_let_42 false _let_114 false _let_115)))) (let ((_let_123 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_43 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_121)) :args _let_120)) _let_119 :args (_let_44 false _let_118)))) (let ((_let_124 (_let_10))) (let ((_let_125 (ASSUME :args _let_124))) (let ((_let_126 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_45 _let_46 _let_47 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_49 false _let_10)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_43 _let_50 _let_51 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_53 false _let_10)))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_54 _let_51 _let_50 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_56 false _let_10)))) (let ((_let_130 ((tptp.addition A (tptp.addition B C))))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_50 _let_51 _let_54 QUANTIFIERS_INST_E_MATCHING _let_130)) :args _let_124)) _let_125 :args (_let_57 false _let_10)))) (let ((_let_132 (_let_11))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 ((tptp.addition A B)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_45 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_132)) _let_133 :args (_let_59 false _let_11)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (_let_60 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_132)) _let_133 :args (_let_63 false _let_11)))) (let ((_let_137 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_138 (not _let_137))) (let ((_let_139 (or _let_138 _let_32 _let_65))) (let ((_let_140 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (_let_140))) (let ((_let_143 ((tptp.multiplication (tptp.c X0) (tptp.c X1))))) (let ((_let_144 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))))) (let ((_let_145 (not _let_144))) (let ((_let_146 (= _let_137 _let_145))) (let ((_let_147 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_148 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_149 (_let_147))) (let ((_let_150 ((tptp.test X0)))) (let ((_let_151 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_152 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_153 (= tptp.one _let_152))) (let ((_let_154 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)))) (let ((_let_155 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_156 (and _let_155 _let_154 _let_153))) (let ((_let_157 (= _let_151 _let_156))) (let ((_let_158 (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_159 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_160 (_let_158))) (let ((_let_161 ((tptp.multiplication X0 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(SYMM _let_416) (CONG (CONG _let_342 _let_344 :args _let_336) :args _let_348)) (TRANS (CONG (TRANS (SYMM (SYMM _let_415)) (CONG _let_343 _let_342 :args _let_336)) :args _let_348) (SYMM (SYMM _let_414)) (CONG _let_380 _let_413 :args _let_341))) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_341) (SYMM _let_412)) (TRANS (SYMM _let_399) _let_400 (SYMM _let_401) (SYMM _let_402) _let_404 (SYMM _let_405) (SYMM _let_406) _let_408 _let_410 (SYMM _let_411)) :args _let_336) (CONG (REFL :args (_let_47)) (TRANS _let_411 (SYMM _let_410) (SYMM _let_408) _let_406 _let_405 (SYMM _let_404) _let_402 _let_401 (SYMM _let_400) _let_399 (SYMM (SYMM _let_398)) (CONG _let_397 _let_393 :args _let_336) (SYMM _let_392) (CONG _let_367 _let_391 :args _let_336) (CONG _let_359 (CONG _let_365 _let_388 :args _let_336) :args _let_336) (SYMM (SYMM _let_389)) (CONG _let_338 _let_388 :args _let_336) (CONG _let_337 (TRANS (SYMM (SYMM _let_387)) (CONG (TRANS (CONG _let_342 _let_386 :args _let_341) (TRANS (CONG 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_let_394 _let_395 _let_398 _let_400 _let_403 _let_407 _let_409 _let_412 _let_414 _let_415 _let_416 _let_417 _let_418 _let_419 _let_420))) (let ((_let_424 (CNF_AND_NEG :args (_let_329)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_424 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_423 (SCOPE (TRUE_ELIM (TRANS (CONG _let_421 _let_422 :args _let_335) _let_334)) :args _let_332)) :args _let_331)) :args _let_330) :args ((or _let_28 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283))) _let_282 _let_281 _let_280 _let_279 _let_278 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_259 _let_256 _let_253 _let_252 _let_251 _let_249 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_237 _let_230 _let_228 _let_226 _let_224 _let_222 _let_187 _let_136 _let_135 _let_131 _let_129 _let_128 _let_127 _let_123 _let_122 :args (_let_28 false _let_113 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_104 false _let_102 false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_93 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_78 false _let_76 false _let_75 false _let_73 false _let_72 false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_65 false _let_63 false _let_59 false _let_57 false _let_56 false _let_53 false _let_49 false _let_44 false _let_42)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION _let_424 (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_423 (SCOPE (TRUE_ELIM (TRANS (CONG _let_422 _let_421 :args _let_335) _let_334)) :args _let_332)) :args _let_331)) :args _let_330) :args ((or _let_29 _let_328 _let_327 _let_326 _let_325 _let_324 _let_323 _let_322 _let_321 _let_320 _let_319 _let_318 _let_317 _let_316 _let_315 _let_314 _let_313 _let_312 _let_311 _let_310 _let_309 _let_308 _let_307 _let_306 _let_305 _let_304 _let_303 _let_302 _let_301 _let_300 _let_299 _let_298 _let_297 _let_296 _let_295 _let_294 _let_293 _let_292 _let_291 _let_290 _let_289 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283))) _let_282 _let_281 _let_280 _let_279 _let_278 _let_274 _let_273 _let_272 _let_271 _let_270 _let_269 _let_268 _let_267 _let_266 _let_265 _let_264 _let_263 _let_259 _let_256 _let_253 _let_252 _let_251 _let_249 _let_247 _let_246 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_237 _let_230 _let_228 _let_226 _let_224 _let_222 _let_187 _let_136 _let_135 _let_131 _let_129 _let_128 _let_127 _let_123 _let_122 :args (_let_29 false _let_113 false _let_112 false _let_111 false _let_110 false _let_109 false _let_108 false _let_107 false _let_106 false _let_104 false _let_102 false _let_101 false _let_100 false _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_93 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_78 false _let_76 false _let_75 false _let_73 false _let_72 false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_65 false _let_63 false _let_59 false _let_57 false _let_56 false _let_53 false _let_49 false _let_44 false _let_42)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 2)) _let_41 :args ((not _let_30) true _let_35)) :args (false false _let_28 false _let_29 true _let_30)) :args (_let_11 _let_10 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_9 _let_8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_6 _let_5 _let_4 _let_3 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 4.54/4.73  )
% 4.54/4.73  % SZS output end Proof for KLE028+4
% 4.54/4.73  % cvc5---1.0.5 exiting
% 4.54/4.73  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------