TSTP Solution File: KLE034+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE034+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 05:26:59 EDT 2023
% Result : Theorem 28.67s 28.90s
% Output : Proof 28.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE034+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n011.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 11:51:41 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 28.67/28.90 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.moOlW5x0qD/cvc5---1.0.5_19118.p...
% 28.67/28.90 ------- get file name : TPTP file name is KLE034+1
% 28.67/28.90 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19118.smt2...
% 28.67/28.90 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 28.67/28.90 --- Run --no-e-matching --full-saturate-quant at 5...
% 28.67/28.90 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 28.67/28.90 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 28.67/28.90 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 28.67/28.90 % SZS status Theorem for KLE034+1
% 28.67/28.90 % SZS output start Proof for KLE034+1
% 28.67/28.90 (
% 28.67/28.90 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (let ((_let_1 (tptp.c X4))) (let ((_let_2 (tptp.multiplication X2 X0))) (=> (and (tptp.test X3) (tptp.test X2) (tptp.test X4) (tptp.leq (tptp.multiplication _let_2 (tptp.c X3)) tptp.zero) (tptp.leq (tptp.multiplication (tptp.multiplication X3 X1) _let_1) tptp.zero)) (tptp.leq (tptp.multiplication (tptp.multiplication _let_2 X1) _let_1) tptp.zero)))))))) (let ((_let_2 (forall ((X0 $$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 A tptp.one) 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 tptp.zero) A)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_14 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_15 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14))) (let ((_let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_15))) (let ((_let_17 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.multiplication _let_17 _let_14))) (let ((_let_19 (= _let_18 _let_16))) (let ((_let_20 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.multiplication (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_14))) (let ((_let_22 (= _let_21 (tptp.multiplication _let_20 _let_15)))) (let ((_let_23 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_24 (tptp.multiplication _let_20 _let_23))) (let ((_let_25 (tptp.addition _let_24 tptp.zero))) (let ((_let_26 (= tptp.zero _let_25))) (let ((_let_27 (= tptp.zero (tptp.addition _let_18 tptp.zero)))) (let ((_let_28 (tptp.addition _let_21 tptp.zero))) (let ((_let_29 (= tptp.zero _let_28))) (let ((_let_30 (tptp.addition _let_14 tptp.zero))) (let ((_let_31 (= _let_14 _let_30))) (let ((_let_32 (= _let_21 _let_28))) (let ((_let_33 (= _let_24 _let_25))) (let ((_let_34 (tptp.multiplication _let_17 tptp.zero))) (let ((_let_35 (= (tptp.multiplication _let_17 _let_30) (tptp.addition _let_18 _let_34)))) (let ((_let_36 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_37 (= tptp.zero _let_36))) (let ((_let_38 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_39 (= tptp.zero _let_38))) (let ((_let_40 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_41 (= tptp.zero _let_40))) (let ((_let_42 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_43 (= tptp.one _let_42))) (let ((_let_44 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_45 (tptp.multiplication _let_44 tptp.zero))) (let ((_let_46 (tptp.multiplication _let_23 tptp.zero))) (let ((_let_47 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_46) _let_45))) (let ((_let_48 (= _let_20 (tptp.multiplication _let_20 tptp.one)))) (let ((_let_49 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero)))) (let ((_let_50 (= tptp.zero _let_34))) (let ((_let_51 (= tptp.zero _let_46))) (let ((_let_52 (= tptp.zero _let_45))) (let ((_let_53 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.zero))) (let ((_let_54 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_53))) (let ((_let_55 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_56 (= tptp.zero _let_55))) (let ((_let_57 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (= tptp.zero _let_57))) (let ((_let_59 (= _let_34 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))))) (let ((_let_60 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))) (let ((_let_61 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_60) (tptp.addition _let_20 _let_36)))) (let ((_let_62 (tptp.addition _let_36 _let_20))) (let ((_let_63 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_63) _let_62))) (let ((_let_65 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_66 (= _let_42 _let_65))) (let ((_let_67 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_40) (tptp.multiplication _let_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_68 (= _let_60 _let_63))) (let ((_let_69 (= _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_70 (= (tptp.multiplication _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_20 _let_57)))) (let ((_let_71 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_55) (tptp.multiplication _let_20 tptp.zero)))) (let ((_let_72 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_73 (= (tptp.multiplication _let_20 _let_65) (tptp.addition (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10) _let_72)))) (let ((_let_74 (= (tptp.multiplication _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.addition (tptp.multiplication _let_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_72)))) (let ((_let_75 (= (tptp.multiplication _let_20 _let_16) (tptp.multiplication _let_72 _let_15)))) (let ((_let_76 (_let_11))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_79 (tptp.leq _let_24 tptp.zero))) (let ((_let_80 (= _let_79 _let_26))) (let ((_let_81 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (_let_81))) (let ((_let_84 ((tptp.leq A B)))) (let ((_let_85 (tptp.leq _let_21 tptp.zero))) (let ((_let_86 (tptp.leq _let_18 tptp.zero))) (let ((_let_87 (not _let_86))) (let ((_let_88 (not _let_79))) (let ((_let_89 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_92 (not _let_91))) (let ((_let_93 (or _let_92 _let_90 (not (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) _let_88 _let_87 _let_85))) (let ((_let_94 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (let ((_let_1 (tptp.c X4))) (let ((_let_2 (tptp.multiplication X2 X0))) (or (not (tptp.test X3)) (not (tptp.test X2)) (not (tptp.test X4)) (not (tptp.leq (tptp.multiplication _let_2 (tptp.c X3)) tptp.zero)) (not (tptp.leq (tptp.multiplication (tptp.multiplication X3 X1) _let_1) tptp.zero)) (tptp.leq (tptp.multiplication (tptp.multiplication _let_2 X1) _let_1) tptp.zero))))))) (let ((_let_95 (not _let_93))) (let ((_let_96 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_97 (or))) (let ((_let_98 (not _let_94))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_96) :args (_let_98))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_98) _let_94))) (REFL :args (_let_95)) :args _let_97)) _let_96 :args (_let_95 true _let_94)))) (let ((_let_100 (REFL :args (_let_93)))) (let ((_let_101 (= _let_86 _let_27))) (let ((_let_102 (= _let_85 _let_29))) (let ((_let_103 (not _let_29))) (let ((_let_104 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 (_let_9))) (let ((_let_108 (ASSUME :args _let_107))) (let ((_let_109 (and _let_37 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (= tptp.one (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9))))) (let ((_let_110 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_111 (= _let_110 _let_109))) (let ((_let_112 (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_113 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 ((tptp.complement X1 X0)))) (let ((_let_116 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_117 (not _let_116))) (let ((_let_118 (= _let_89 _let_117))) (let ((_let_119 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_120 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_121 (_let_119))) (let ((_let_122 ((tptp.test X0)))) (let ((_let_123 (not _let_110))) (let ((_let_124 (_let_117))) (let ((_let_125 (and _let_39 _let_41 _let_43))) (let ((_let_126 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_127 (= _let_126 _let_125))) (let ((_let_128 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_129 (not _let_128))) (let ((_let_130 (= _let_91 _let_129))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 0)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) :args _let_97)) :args ((or _let_91 _let_93))) _let_99 :args (_let_91 true _let_93)))) (let ((_let_132 (not _let_126))) (let ((_let_133 (_let_129))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_127)) :args ((or _let_132 _let_125 (not _let_127)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_133)) :args _let_133) (REWRITE :args ((=> _let_129 (not _let_132)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_129) _let_128))) (REFL :args (_let_126)) :args _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_130)) :args ((or _let_92 _let_129 (not _let_130)))) _let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_122)) :args _let_121)) _let_120 :args (_let_130 false _let_119)) :args (_let_129 false _let_91 false _let_130)) :args (_let_126 true _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_115)) :args _let_114)) _let_113 :args (_let_127 false _let_112)) :args (_let_125 false _let_126 false _let_127)))) (let ((_let_135 (not _let_125))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_125 0)) :args ((or _let_39 _let_135))) _let_134 :args (_let_39 false _let_125)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_125 1)) :args ((or _let_41 _let_135))) _let_134 :args (_let_41 false _let_125)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_125 2)) :args ((or _let_43 _let_135))) _let_134 :args (_let_43 false _let_125)))) (let ((_let_139 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_140 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_141 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_142 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (_let_141))) (let ((_let_144 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_145 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_146 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_147 ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) (let ((_let_148 (_let_13))) (let ((_let_149 (ASSUME :args _let_148))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_149 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition B A)))) :args _let_148))) _let_149 :args (_let_66 false _let_13)))) (let ((_let_151 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_152 (= _let_151 _let_69))) (let ((_let_153 (or _let_92 _let_152))) (let ((_let_154 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_155 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_156 (= tptp.one _let_65))) (let ((_let_157 (and _let_41 _let_39 _let_156))) (let ((_let_158 (= _let_151 _let_157))) (let ((_let_159 (not _let_66))) (let ((_let_160 (not _let_43))) (let ((_let_161 (and _let_43 _let_66))) (let ((_let_162 (ASSUME :args (_let_66)))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (ASSUME :args (_let_43)))) (let ((_let_165 (SYMM _let_164))) (let ((_let_166 (not _let_41))) (let ((_let_167 (not _let_39))) (let ((_let_168 (_let_8))) (let ((_let_169 (ASSUME :args _let_168))) (let ((_let_170 (not _let_75))) (let ((_let_171 (not _let_74))) (let ((_let_172 (not _let_73))) (let ((_let_173 (not _let_71))) (let ((_let_174 (not _let_70))) (let ((_let_175 (not _let_68))) (let ((_let_176 (not _let_69))) (let ((_let_177 (not _let_67))) (let ((_let_178 (not _let_64))) (let ((_let_179 (not _let_61))) (let ((_let_180 (not _let_59))) (let ((_let_181 (not _let_58))) (let ((_let_182 (not _let_56))) (let ((_let_183 (not _let_54))) (let ((_let_184 (not _let_52))) (let ((_let_185 (not _let_50))) (let ((_let_186 (not _let_49))) (let ((_let_187 (not _let_48))) (let ((_let_188 (not _let_47))) (let ((_let_189 (not _let_51))) (let ((_let_190 (not _let_37))) (let ((_let_191 (not _let_35))) (let ((_let_192 (not _let_33))) (let ((_let_193 (not _let_32))) (let ((_let_194 (not _let_31))) (let ((_let_195 (not _let_27))) (let ((_let_196 (not _let_26))) (let ((_let_197 (not _let_22))) (let ((_let_198 (not _let_19))) (let ((_let_199 (_let_170))) (let ((_let_200 (ASSUME :args (_let_75)))) (let ((_let_201 (ASSUME :args (_let_103)))) (let ((_let_202 (=))) (let 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(_let_102 false _let_81)) :args (_let_103 true _let_85 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_101)) :args ((or _let_87 _let_27 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 4)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_86))) :args _let_97)) :args ((or _let_86 _let_93))) _let_99 :args (_let_86 true _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_18 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_101 false _let_81)) :args (_let_27 false _let_86 false _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_88 _let_26 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_93 3)) (CONG _let_100 (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_79))) :args _let_97)) :args ((or _let_79 _let_93))) _let_99 :args (_let_79 true _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (_let_24 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_84)) :args _let_83)) _let_82 :args (_let_80 false _let_81)) :args (_let_26 false _let_79 false _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76))) _let_77 :args (_let_22 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_14 QUANTIFIERS_INST_E_MATCHING _let_78)) :args _let_76))) _let_77 :args (_let_19 false _let_11)) :args (false false _let_75 false _let_74 false _let_73 false _let_71 false _let_70 false _let_69 false _let_68 false _let_67 false _let_66 false _let_64 false _let_61 false _let_59 false _let_58 false _let_56 false _let_54 false _let_52 false _let_51 false _let_50 false _let_49 false _let_48 false _let_47 false _let_43 false _let_41 false _let_39 false _let_37 false _let_35 false _let_33 false _let_32 false _let_31 true _let_29 false _let_27 false _let_26 false _let_22 false _let_19)) :args (_let_13 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)) _let_11 _let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 28.67/28.91 )
% 28.67/28.91 % SZS output end Proof for KLE034+1
% 28.67/28.91 % cvc5---1.0.5 exiting
% 28.67/28.91 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------