TSTP Solution File: KLE024+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE024+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n028.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 05:26:56 EDT 2023
% Result : Theorem 12.45s 12.77s
% Output : Proof 12.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE024+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 12:20:41 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 12.45/12.77 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iJceTvzFOQ/cvc5---1.0.5_7933.p...
% 12.45/12.77 ------- get file name : TPTP file name is KLE024+2
% 12.45/12.77 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_7933.smt2...
% 12.45/12.77 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.45/12.77 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.45/12.77 % SZS status Theorem for KLE024+2
% 12.45/12.77 % SZS output start Proof for KLE024+2
% 12.45/12.77 (
% 12.45/12.77 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.c X2))) (let ((_let_2 (tptp.multiplication (tptp.c X1) X0))) (=> (and (tptp.test X1) (tptp.test X2)) (=> (= (tptp.addition (tptp.multiplication X0 _let_1) _let_2) _let_2) (= (tptp.multiplication (tptp.multiplication X1 X0) _let_1) tptp.zero))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_5 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_6 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_15 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_17 (tptp.complement tptp.one tptp.zero))) (let ((_let_18 (forall ((X1 $$unsorted)) (not (tptp.complement X1 tptp.zero))))) (let ((_let_19 (tptp.addition tptp.zero tptp.one))) (let ((_let_20 (= tptp.one _let_19))) (let ((_let_21 (= tptp.zero (tptp.multiplication tptp.one tptp.zero)))) (let ((_let_22 (= tptp.zero (tptp.multiplication tptp.zero tptp.one)))) (let ((_let_23 (and _let_22 _let_21 _let_20))) (let ((_let_24 (= _let_17 _let_23))) (let ((_let_25 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (_let_25))) (let ((_let_28 (tptp.zero tptp.one QUANTIFIERS_INST_ENUM))) (let ((_let_29 (tptp.addition tptp.one tptp.zero))) (let ((_let_30 (= tptp.one _let_29))) (let ((_let_31 (= _let_19 _let_29))) (let ((_let_32 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_33 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args (_let_32))) _let_33 :args (_let_30 false _let_32)))) (let ((_let_35 (_let_16))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (and _let_31 _let_30))) (let ((_let_38 (_let_31 _let_30))) (let ((_let_39 (ASSUME :args (_let_31)))) (let ((_let_40 (ASSUME :args (_let_30)))) (let ((_let_41 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 (tptp.zero QUANTIFIERS_INST_ENUM))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args _let_44) :args _let_43)) _let_42 :args (_let_21 false _let_41)))) (let ((_let_46 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_44) :args (_let_46))) _let_47 :args (_let_22 false _let_46)))) (let ((_let_49 (not _let_21))) (let ((_let_50 (not _let_22))) (let ((_let_51 (not _let_18))) (let ((_let_52 (tptp.test tptp.zero))) (let ((_let_53 (= _let_52 _let_51))) (let ((_let_54 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_57 (tptp.c tptp.zero))) (let ((_let_58 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (tptp.addition _let_58 _let_57))) (let ((_let_60 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_61 (= (tptp.c _let_60) _let_59))) (let ((_let_62 (not _let_52))) (let ((_let_63 (not _let_56))) (let ((_let_64 (or _let_63 _let_62 _let_61))) (let ((_let_65 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_66 (= (tptp.c _let_65) (tptp.addition _let_57 _let_58)))) (let ((_let_67 (or _let_62 _let_63 _let_66))) (let ((_let_68 (tptp.complement tptp.zero tptp.one))) (let ((_let_69 (= tptp.one _let_57))) (let ((_let_70 (= _let_69 _let_68))) (let ((_let_71 (or _let_62 _let_70))) (let ((_let_72 (tptp.multiplication _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_73 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_74 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_73))) (let ((_let_75 (tptp.addition _let_74 _let_72))) (let ((_let_76 (= _let_72 _let_75))) (let ((_let_77 (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_73))) (let ((_let_78 (= tptp.zero _let_77))) (let ((_let_79 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_80 (= tptp.zero (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_81 (= tptp.zero _let_60))) (let ((_let_82 (= tptp.zero (tptp.multiplication tptp.zero _let_73)))) (let ((_let_83 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_84 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_83))) (let ((_let_85 (= tptp.zero _let_65))) (let ((_let_86 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_87 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_86))) (let ((_let_88 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one) (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_89 (tptp.addition _let_72 _let_74))) (let ((_let_90 (= _let_75 _let_89))) (let ((_let_91 (tptp.addition _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_92 (= (tptp.addition _let_58 _let_83) (tptp.addition _let_91 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_93 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_58))) (let ((_let_94 (= tptp.zero _let_93))) (let ((_let_95 (= tptp.one _let_91))) (let ((_let_96 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_74))) (let ((_let_97 (tptp.addition _let_96 _let_72))) (let ((_let_98 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_75))) (let ((_let_99 (= _let_98 _let_97))) (let ((_let_100 (= _let_77 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_74)))) (let ((_let_101 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_72))) (let ((_let_102 (= _let_101 (tptp.multiplication _let_93 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_103 (tptp.addition _let_72 _let_96))) (let ((_let_104 (= _let_97 _let_103))) (let ((_let_105 (tptp.multiplication _let_72 _let_73))) (let ((_let_106 (= (tptp.multiplication _let_103 _let_73) (tptp.addition _let_105 (tptp.multiplication _let_96 _let_73))))) (let ((_let_107 (= (tptp.multiplication _let_59 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_72 (tptp.multiplication _let_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_108 (= _let_98 (tptp.addition _let_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_109 (= _let_103 (tptp.addition (tptp.addition _let_72 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_74)))) (let ((_let_110 (tptp.multiplication _let_73 _let_73))) (let ((_let_111 (= (tptp.c _let_86) _let_110))) (let ((_let_112 (tptp.multiplication _let_74 _let_73))) (let ((_let_113 (= (tptp.multiplication _let_89 _let_73) (tptp.addition _let_105 _let_112)))) (let ((_let_114 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_105) (tptp.multiplication _let_101 _let_73)))) (let ((_let_115 (= _let_112 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_110)))) (let ((_let_116 (not _let_76))) (let ((_let_117 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_118 (not _let_117))) (let ((_let_119 (or _let_63 _let_118 _let_116 _let_78))) (let ((_let_120 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.c X2))) (let ((_let_2 (tptp.multiplication (tptp.c X1) X0))) (or (not (tptp.test X1)) (not (tptp.test X2)) (not (= _let_2 (tptp.addition (tptp.multiplication X0 _let_1) _let_2))) (= tptp.zero (tptp.multiplication (tptp.multiplication X1 X0) _let_1)))))))) (let ((_let_121 (not _let_119))) (let ((_let_122 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_123 (or))) (let ((_let_124 (not _let_120))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_122) :args (_let_124))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_124) _let_120))) (REFL :args (_let_121)) :args _let_123)) _let_122 :args (_let_121 true _let_120)))) (let ((_let_126 (REFL :args (_let_119)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_119 0)) (CONG _let_126 (MACRO_SR_PRED_INTRO :args ((= (not _let_63) _let_56))) :args _let_123)) :args ((or _let_56 _let_119))) _let_125 :args (_let_56 true _let_119)))) (let ((_let_128 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))))) (let ((_let_129 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_130 (_let_128))) (let ((_let_131 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_132 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (_let_131))) (let ((_let_134 (and _let_21 _let_22 _let_30))) (let ((_let_135 (= _let_68 _let_134))) (let ((_let_136 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_137 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_138 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_139 (_let_137))) (let ((_let_140 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_141 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_142 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (_let_142))) (let ((_let_145 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_146 (_let_15))) (let ((_let_147 (ASSUME :args _let_146))) (let ((_let_148 (and (= tptp.zero (tptp.multiplication _let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_94 _let_95))) (let ((_let_149 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_58))) (let ((_let_150 (= _let_149 _let_148))) (let ((_let_151 (or _let_63 _let_149))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_150)) :args ((or (not _let_149) _let_148 (not _let_150)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_151)) :args ((or _let_63 _let_149 (not _let_151)))) _let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_132 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_58 QUANTIFIERS_INST_ENUM)) :args _let_133))) _let_132 :args (_let_151 false _let_131)) :args (_let_149 false _let_56 false _let_151)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (_let_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_27)) _let_26 :args (_let_150 false _let_25)) :args (_let_148 false _let_149 false _let_150)))) (let ((_let_153 (not _let_148))) (let ((_let_154 (_let_12))) (let ((_let_155 (ASSUME :args _let_154))) (let ((_let_156 (_let_9))) (let ((_let_157 (ASSUME :args _let_156))) (let ((_let_158 (or _let_118 _let_118 _let_111))) (let ((_let_159 (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_160 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_161 (and _let_76 _let_79 _let_80 _let_81 _let_82 _let_84 _let_85 _let_87 _let_88 _let_90 _let_94 _let_92 _let_95 _let_99 _let_100 _let_69 _let_61 _let_66 _let_111 _let_102 _let_104 _let_106 _let_107 _let_108 _let_109 _let_113 _let_114 _let_115))) (let ((_let_162 (ASSUME :args (_let_100)))) (let ((_let_163 (APPLY_UF tptp.multiplication))) (let ((_let_164 (REFL :args (_let_73)))) (let ((_let_165 (ASSUME :args (_let_79)))) (let ((_let_166 (SYMM _let_165))) (let ((_let_167 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_168 (ASSUME :args (_let_95)))) (let ((_let_169 (APPLY_UF tptp.addition))) (let ((_let_170 (ASSUME :args (_let_84)))) (let ((_let_171 (CONG (REFL :args (_let_58)) (SYMM _let_170) :args _let_169))) (let ((_let_172 (ASSUME :args (_let_92)))) (let ((_let_173 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_174 (CONG _let_168 _let_173 :args _let_169))) (let ((_let_175 (ASSUME :args (_let_88)))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (ASSUME :args (_let_69)))) (let ((_let_178 (APPLY_UF tptp.c))) (let ((_let_179 (ASSUME :args (_let_85)))) (let ((_let_180 (ASSUME :args (_let_66)))) (let ((_let_181 (TRANS (SYMM _let_180) (CONG (SYMM _let_179) :args _let_178)))) (let ((_let_182 (CONG (TRANS _let_181 (TRANS (SYMM _let_177) _let_168 (SYMM _let_171) _let_172 (SYMM _let_174) _let_176) (TRANS (SYMM _let_176) _let_174 (SYMM _let_172) _let_171 (SYMM _let_168))) _let_167 :args _let_163))) (let ((_let_183 (CONG (SYMM _let_181) _let_167 :args _let_163))) (let ((_let_184 (ASSUME :args (_let_81)))) (let ((_let_185 (ASSUME :args (_let_61)))) (let ((_let_186 (CONG (TRANS (SYMM _let_185) (CONG (SYMM _let_184) :args _let_178)) _let_167 :args _let_163))) (let ((_let_187 (ASSUME :args (_let_107)))) (let ((_let_188 (SYMM _let_187))) (let ((_let_189 (SYMM _let_183))) (let ((_let_190 (SYMM _let_182))) (let ((_let_191 (CONG (REFL :args (_let_72)) (TRANS _let_165 _let_190 _let_189) :args _let_169))) (let ((_let_192 (ASSUME :args (_let_76)))) (let ((_let_193 (CONG (SYMM _let_192) _let_167 :args _let_169))) (let ((_let_194 (ASSUME :args (_let_108)))) (let ((_let_195 (SYMM _let_194))) (let 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(MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_155 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_73 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_154))) _let_155 :args (_let_100 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_72 _let_74 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_146)) _let_147 :args (_let_99 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_148 2)) :args ((or _let_95 _let_153))) _let_152 :args (_let_95 false _let_148)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_148 1)) :args ((or _let_94 _let_153))) _let_152 :args (_let_94 false _let_148)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_58 QUANTIFIERS_INST_ENUM)) :args _let_146)) _let_147 :args (_let_92 false _let_15)) 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((or _let_68 (not _let_134) (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_134)) :args ((or _let_50 _let_49 (not _let_30) _let_134))) _let_48 _let_45 _let_34 :args (_let_134 false _let_22 false _let_21 false _let_30)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.one tptp.zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_27)) _let_26 :args (_let_135 false _let_25)) :args (_let_68 false _let_134 false _let_135)) (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_62 _let_70 (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_132 :args _let_28) :args _let_133))) _let_132 :args (_let_71 false _let_131)) (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_63 _let_62 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_130)) _let_129 :args (_let_67 false _let_128)) _let_127 (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_63 _let_62 _let_61 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_130)) _let_129 :args (_let_64 false _let_128)) _let_127 :args (_let_62 false _let_115 false _let_114 false _let_113 false _let_111 false _let_109 false _let_108 false _let_107 false _let_106 false _let_104 false _let_102 false _let_100 false _let_99 false _let_95 false _let_94 false _let_92 false _let_90 false _let_88 false _let_87 false _let_85 false _let_84 false _let_82 false _let_81 false _let_80 false _let_79 true _let_78 false _let_76 false _let_69 false _let_68 false _let_70 false _let_71 false _let_66 false _let_67 false _let_56 false _let_61 false _let_64 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args _let_44) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_18 true _let_52 false _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_24)) :args ((or _let_17 (not _let_23) (not _let_24)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_23)) :args ((or _let_50 _let_49 _let_23 (not _let_20)))) _let_48 _let_45 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_37)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_39 _let_40) (SCOPE (TRANS (SYMM (SYMM _let_40)) (SYMM _let_39)) :args _let_38)) :args _let_38)) :args (true _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args _let_28) :args _let_35)) _let_36 :args (_let_31 false _let_16)) _let_34 :args (_let_20 false _let_31 false _let_30)) :args (_let_23 false _let_22 false _let_21 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args _let_28) :args _let_27)) _let_26 :args (_let_24 false _let_25)) :args (_let_17 false _let_23 false _let_24)) :args (false false _let_18 false _let_17)) :args (_let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_9 _let_8 _let_7 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_6 _let_5 _let_4 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_3 _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.45/12.78 )
% 12.45/12.78 % SZS output end Proof for KLE024+2
% 12.45/12.78 % cvc5---1.0.5 exiting
% 12.45/12.78 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------