TSTP Solution File: KLE023+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE023+2 : 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 05:26:55 EDT 2023
% Result : Theorem 12.23s 12.45s
% Output : Proof 12.28s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : KLE023+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n011.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 10:57:26 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 12.23/12.45 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.YxCHtByl8A/cvc5---1.0.5_29886.p...
% 12.23/12.45 ------- get file name : TPTP file name is KLE023+2
% 12.23/12.45 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_29886.smt2...
% 12.23/12.45 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.23/12.45 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.23/12.45 % SZS status Theorem for KLE023+2
% 12.23/12.45 % SZS output start Proof for KLE023+2
% 12.23/12.45 (
% 12.23/12.45 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.c X1) X0))) (let ((_let_2 (tptp.multiplication X0 X2))) (=> (and (tptp.test X1) (tptp.test X2)) (=> (= (tptp.addition (tptp.multiplication X1 X0) _let_2) _let_2) (= (tptp.addition (tptp.multiplication X0 (tptp.c X2)) _let_1) _let_1))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_4 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_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)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_13 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_14 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_15 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.addition _let_16 _let_15))) (let ((_let_18 (= _let_15 _let_17))) (let ((_let_19 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_22 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_23 (= _let_20 (tptp.addition _let_22 _let_20)))) (let ((_let_24 (tptp.addition tptp.one tptp.zero))) (let ((_let_25 (tptp.addition tptp.zero tptp.one))) (let ((_let_26 (= _let_25 _let_24))) (let ((_let_27 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27))) (let ((_let_29 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_30 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_31 (= tptp.zero (tptp.multiplication tptp.zero _let_21)))) (let ((_let_32 (= tptp.one _let_24))) (let ((_let_33 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_34 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_33))) (let ((_let_35 (tptp.multiplication tptp.zero _let_20))) (let ((_let_36 (= tptp.zero _let_35))) (let ((_let_37 (tptp.multiplication tptp.one _let_20))) (let ((_let_38 (= _let_20 _let_37))) (let ((_let_39 (= _let_20 (tptp.multiplication _let_20 tptp.one)))) (let ((_let_40 (tptp.addition _let_15 _let_20))) (let ((_let_41 (= _let_40 (tptp.addition _let_20 _let_15)))) (let ((_let_42 (= _let_22 (tptp.addition _let_22 _let_22)))) (let ((_let_43 (= tptp.one (tptp.addition tptp.one tptp.one)))) (let ((_let_44 (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_46 (= _let_45 _let_44))) (let ((_let_47 (= tptp.one _let_44))) (let ((_let_48 (tptp.addition _let_35 _let_37))) (let ((_let_49 (= (tptp.multiplication _let_25 _let_20) _let_48))) (let ((_let_50 (= (tptp.multiplication _let_48 _let_21) (tptp.addition (tptp.multiplication _let_35 _let_21) (tptp.multiplication _let_37 _let_21))))) (let ((_let_51 (tptp.addition _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_52 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one))) (let ((_let_53 (tptp.addition _let_21 _let_52))) (let ((_let_54 (= _let_53 (tptp.addition _let_51 tptp.one)))) (let ((_let_55 (= (tptp.addition _let_21 _let_33) (tptp.addition _let_51 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_56 (tptp.multiplication _let_15 _let_21))) (let ((_let_57 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21))) (let ((_let_58 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_57) _let_56))) (let ((_let_59 (= tptp.zero _let_57))) (let ((_let_60 (= tptp.one _let_51))) (let ((_let_61 (tptp.addition _let_16 _let_20))) (let ((_let_62 (= _let_61 (tptp.multiplication _let_45 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_63 (tptp.addition _let_15 _let_16))) (let ((_let_64 (= _let_17 _let_63))) (let ((_let_65 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15) (tptp.addition _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_66 (= (tptp.addition _let_15 _let_61) (tptp.addition _let_63 _let_20)))) (let ((_let_67 (tptp.multiplication _let_20 _let_21))) (let ((_let_68 (= (tptp.multiplication _let_40 _let_21) (tptp.addition _let_56 _let_67)))) (let ((_let_69 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.addition _let_27 _let_15)))) (let ((_let_70 (tptp.multiplication _let_20 _let_52))) (let ((_let_71 (tptp.addition _let_67 _let_70))) (let ((_let_72 (= (tptp.multiplication _let_20 _let_53) _let_71))) (let ((_let_73 (= (tptp.addition _let_22 _let_71) (tptp.addition (tptp.addition _let_22 _let_67) _let_70)))) (let ((_let_74 (not _let_18))) (let ((_let_75 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76 _let_74 _let_23))) (let ((_let_80 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.c X1) X0))) (let ((_let_2 (tptp.multiplication X0 X2))) (or (not (tptp.test X1)) (not (tptp.test X2)) (not (= _let_2 (tptp.addition (tptp.multiplication X1 X0) _let_2))) (= _let_1 (tptp.addition (tptp.multiplication X0 (tptp.c X2)) _let_1)))))))) (let ((_let_81 (not _let_79))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (or))) (let ((_let_84 (not _let_80))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_82) :args (_let_84))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_80))) (REFL :args (_let_81)) :args _let_83)) _let_82 :args (_let_81 true _let_80)))) (let ((_let_86 (REFL :args (_let_79)))) (let ((_let_87 (not _let_23))) (let ((_let_88 (_let_14))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_94 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (_let_94))) (let ((_let_97 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_99))) (let ((_let_102 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_103 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_104 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (_let_104))) (let ((_let_107 (_let_20 QUANTIFIERS_INST_ENUM))) (let ((_let_108 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 QUANTIFIERS_INST_ENUM))) (let ((_let_109 (and (= tptp.zero (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19)) _let_47))) (let ((_let_110 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (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 (or _let_78 _let_110))) (let ((_let_116 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (_let_6))) (let ((_let_120 (ASSUME :args _let_119))) (let ((_let_121 (_let_13))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 (_let_10))) (let ((_let_124 (ASSUME :args _let_123))) (let ((_let_125 (and (= tptp.zero (tptp.multiplication _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_59 _let_60))) (let ((_let_126 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21))) (let ((_let_127 (= _let_126 _let_125))) (let ((_let_128 (or _let_76 _let_126))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_127)) :args ((or (not _let_126) _let_125 (not _let_127)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_76 _let_126 (not _let_128)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 1)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_76) _let_75))) :args _let_83)) :args ((or _let_75 _let_79))) _let_85 :args (_let_75 true _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21 QUANTIFIERS_INST_ENUM)) :args _let_118))) _let_117 :args (_let_128 false _let_116)) :args (_let_126 false _let_75 false _let_128)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_114)) _let_113 :args (_let_127 false _let_112)) :args (_let_125 false _let_126 false _let_127)))) (let ((_let_130 (not _let_125))) (let ((_let_131 (_let_7))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (not _let_73))) (let ((_let_134 (_let_133))) (let ((_let_135 (ASSUME :args (_let_73)))) (let ((_let_136 (ASSUME :args (_let_87)))) (let ((_let_137 (APPLY_UF tptp.addition))) (let ((_let_138 (ASSUME :args (_let_39)))) (let ((_let_139 (SYMM _let_138))) (let ((_let_140 (APPLY_UF tptp.multiplication))) (let ((_let_141 (ASSUME :args (_let_43)))) (let ((_let_142 (ASSUME :args (_let_60)))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (ASSUME :args (_let_54)))) (let ((_let_145 (REFL :args (_let_20)))) (let ((_let_146 (CONG _let_145 (TRANS (SYMM (SYMM _let_144)) (CONG _let_143 (REFL :args (tptp.one)) :args _let_137) (SYMM _let_141)) :args _let_140))) (let ((_let_147 (ASSUME :args (_let_72)))) (let ((_let_148 (SYMM _let_147))) (let ((_let_149 (REFL :args (_let_22)))) (let ((_let_150 (REFL :args (_let_21)))) (let ((_let_151 (ASSUME :args (_let_38)))) (let ((_let_152 (SYMM _let_151))) (let ((_let_153 (CONG _let_152 _let_150 :args _let_140))) (let ((_let_154 (ASSUME :args (_let_32)))) (let ((_let_155 (ASSUME :args (_let_26)))) (let ((_let_156 (ASSUME :args (_let_49)))) (let ((_let_157 (ASSUME :args (_let_50)))) (let ((_let_158 (ASSUME :args (_let_36)))) (let ((_let_159 (ASSUME :args (_let_31)))) (let ((_let_160 (ASSUME :args (_let_30)))) (let ((_let_161 (ASSUME :args (_let_59)))) (let ((_let_162 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_163 (ASSUME :args (_let_58)))) (let ((_let_164 (ASSUME :args (_let_68)))) (let ((_let_165 (ASSUME :args (_let_41)))) (let ((_let_166 (ASSUME :args (_let_18)))) (let ((_let_167 (ASSUME :args (_let_64)))) (let ((_let_168 (ASSUME :args (_let_66)))) (let ((_let_169 (ASSUME :args (_let_62)))) (let ((_let_170 (ASSUME :args (_let_46)))) (let ((_let_171 (ASSUME :args (_let_47)))) (let ((_let_172 (ASSUME :args (_let_29)))) (let ((_let_173 (REFL :args (_let_15)))) (let ((_let_174 (ASSUME :args (_let_65)))) (let ((_let_175 (ASSUME :args (_let_28)))) (let ((_let_176 (ASSUME :args (_let_69)))) (let ((_let_177 (ASSUME :args (_let_55)))) (let ((_let_178 (ASSUME :args (_let_34)))) (let ((_let_179 (TRANS (CONG (TRANS (TRANS _let_175 (CONG _let_162 (TRANS _let_142 (CONG _let_150 (SYMM (SYMM _let_178)) :args _let_137) (SYMM (SYMM _let_177)) (CONG _let_143 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args _let_137)) :args _let_140) (SYMM (SYMM _let_176)) (CONG (SYMM _let_175) _let_173 :args _let_137) (SYMM (SYMM _let_174)) (CONG _let_173 (TRANS (SYMM (SYMM _let_172)) (CONG (TRANS (SYMM (SYMM _let_171)) (SYMM _let_170)) _let_162 :args _let_140) (SYMM _let_169)) :args _let_137) (SYMM (SYMM _let_168)) (CONG (TRANS (SYMM _let_167) (SYMM _let_166)) _let_145 :args _let_137) _let_165) (SYMM _let_165)) _let_150 :args _let_140) (SYMM (SYMM _let_164)) (CONG (TRANS (TRANS (SYMM _let_163) (CONG _let_162 (SYMM _let_161) :args _let_140) (SYMM _let_160)) (TRANS (SYMM (SYMM _let_159)) (CONG (SYMM (SYMM _let_158)) _let_150 :args _let_140))) (SYMM _let_153) :args _let_137) (SYMM _let_157) (CONG (TRANS (TRANS (SYMM _let_156) (CONG (TRANS (SYMM (SYMM _let_155)) (SYMM _let_154)) _let_145 :args _let_140) _let_152) _let_151) _let_150 :args _let_140) _let_153))) (let ((_let_180 (ASSUME :args (_let_42)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_135 (MODUS_PONENS (AND_INTRO _let_138 _let_141 _let_142 _let_144 _let_147 _let_151 _let_154 _let_155 _let_156 _let_157 _let_158 _let_159 _let_160 _let_161 _let_163 _let_164 _let_165 _let_166 _let_167 _let_168 _let_169 _let_170 _let_171 _let_172 _let_174 _let_175 _let_176 _let_177 _let_178 _let_180 _let_136) (SCOPE (FALSE_ELIM (MACRO_SR_PRED_TRANSFORM (TRANS (CONG (TRANS (CONG (TRANS (TRANS (CONG _let_149 (SYMM _let_179) :args _let_137) (SYMM _let_180)) _let_179) (REFL :args (_let_70)) :args _let_137) _let_148 _let_146 _let_139) (CONG _let_149 (TRANS _let_148 _let_146 _let_139) :args _let_137) :args (=)) (FALSE_INTRO _let_136)) :args ((= _let_73 false)))) :args (_let_39 _let_43 _let_60 _let_54 _let_72 _let_38 _let_32 _let_26 _let_49 _let_50 _let_36 _let_31 _let_30 _let_59 _let_58 _let_68 _let_41 _let_18 _let_64 _let_66 _let_62 _let_46 _let_47 _let_29 _let_65 _let_28 _let_69 _let_55 _let_34 _let_42 _let_87)))) :args (_let_18 _let_87 _let_26 _let_28 _let_29 _let_30 _let_31 _let_32 _let_34 _let_36 _let_38 _let_39 _let_41 _let_42 _let_43 _let_46 _let_47 _let_49 _let_50 _let_54 _let_55 _let_59 _let_58 _let_60 _let_62 _let_64 _let_65 _let_66 _let_68 _let_69 _let_72 _let_73)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_134))) (TRUE_INTRO (SYMM (SYMM _let_135))))) :args (_let_73 _let_133)) :args ((not (and _let_18 _let_87 _let_26 _let_28 _let_29 _let_30 _let_31 _let_32 _let_34 _let_36 _let_38 _let_39 _let_41 _let_42 _let_43 _let_46 _let_47 _let_49 _let_50 _let_54 _let_55 _let_59 _let_58 _let_60 _let_62 _let_64 _let_65 _let_66 _let_68 _let_69 _let_72 _let_73)) SB_LITERAL))) (CONG (REFL :args (_let_74)) (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_23))) (REFL :args ((not _let_26))) (REFL :args ((not _let_28))) (REFL :args ((not _let_29))) (REFL :args ((not _let_30))) (REFL :args ((not _let_31))) (REFL :args ((not _let_32))) (REFL :args ((not _let_34))) (REFL :args ((not _let_36))) (REFL :args ((not _let_38))) (REFL :args ((not _let_39))) (REFL :args ((not _let_41))) (REFL :args ((not _let_42))) (REFL :args ((not _let_43))) (REFL :args ((not _let_46))) (REFL :args ((not _let_47))) (REFL :args ((not _let_49))) (REFL :args ((not _let_50))) (REFL :args ((not _let_54))) (REFL :args ((not _let_55))) (REFL :args ((not _let_59))) (REFL :args ((not _let_58))) (REFL :args ((not _let_60))) (REFL :args ((not _let_62))) (REFL :args ((not _let_64))) (REFL :args ((not _let_65))) (REFL :args ((not _let_66))) (REFL :args ((not _let_68))) (REFL :args ((not _let_69))) (REFL :args ((not _let_72))) (REFL :args _let_134) :args _let_83)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_70 _let_67 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_121)) _let_122 :args (_let_73 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (_let_20 _let_21 _let_52 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_131)) _let_132 :args (_let_72 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_131)) _let_132 :args (_let_69 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_15 _let_20 _let_21 QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_120 :args (_let_68 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_20 _let_16 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_121)) _let_122 :args (_let_66 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_15 QUANTIFIERS_INST_ENUM)) :args _let_88)) _let_89 :args (_let_65 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_16 _let_15 QUANTIFIERS_INST_CBQI_PROP)) :args _let_88)) _let_89 :args (_let_64 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_120 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_PROP)) :args _let_119))) _let_120 :args (_let_62 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_125 2)) :args ((or _let_60 _let_130))) _let_129 :args (_let_60 false _let_125)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_125 1)) :args ((or _let_59 _let_130))) _let_129 :args (_let_59 false _let_125)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_123)) _let_124 :args (_let_58 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21 QUANTIFIERS_INST_ENUM)) :args _let_121)) _let_122 :args (_let_55 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_21 QUANTIFIERS_INST_ENUM)) :args _let_121)) _let_122 :args (_let_54 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (_let_35 _let_37 _let_21 QUANTIFIERS_INST_CBQI_PROP)) :args _let_119)) _let_120 :args (_let_50 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_120 :args (tptp.zero tptp.one _let_20 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_119)) _let_120 :args (_let_49 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_109 2)) :args ((or _let_47 (not _let_109)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_111)) :args ((or (not _let_110) _let_109 (not _let_111)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_78 _let_110 (not _let_115)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 0)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_83)) :args ((or _let_77 _let_79))) _let_85 :args (_let_77 true _let_79)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_117 :args _let_108) :args _let_118))) _let_117 :args (_let_115 false _let_116)) :args (_let_110 false _let_77 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_114)) _let_113 :args (_let_111 false _let_112)) :args (_let_109 false _let_110 false _let_111)) :args (_let_47 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_108) :args _let_88)) _let_89 :args (_let_46 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (tptp.one QUANTIFIERS_INST_ENUM)) :args _let_106)) _let_105 :args (_let_43 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_22 QUANTIFIERS_INST_ENUM)) :args _let_106)) _let_105 :args (_let_42 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_15 _let_20 QUANTIFIERS_INST_ENUM)) :args _let_88)) _let_89 :args (_let_41 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_107) :args _let_92)) _let_91 :args (_let_39 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args _let_107) :args _let_96)) _let_95 :args (_let_38 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args _let_107) :args _let_101)) _let_100 :args (_let_36 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_106)) _let_105 :args (_let_34 false _let_104)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (tptp.one QUANTIFIERS_INST_CBQI_PROP)) :args (_let_102))) _let_103 :args (_let_32 false _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_21 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101)) _let_100 :args (_let_31 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_93) :args (_let_97))) _let_98 :args (_let_30 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args _let_93) :args _let_96)) _let_95 :args (_let_29 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args _let_93) :args _let_92)) _let_91 :args (_let_28 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (tptp.zero tptp.one QUANTIFIERS_INST_ENUM)) :args _let_88)) _let_89 :args (_let_26 false _let_14)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_79 3)) _let_85 :args (_let_87 true _let_79)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 2)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_18))) :args _let_83)) :args ((or _let_18 _let_79))) _let_85 :args (_let_18 true _let_79)) :args (false false _let_73 false _let_72 false _let_69 false _let_68 false _let_66 false _let_65 false _let_64 false _let_62 false _let_60 false _let_59 false _let_58 false _let_55 false _let_54 false _let_50 false _let_49 false _let_47 false _let_46 false _let_43 false _let_42 false _let_41 false _let_39 false _let_38 false _let_36 false _let_34 false _let_32 false _let_31 false _let_30 false _let_29 false _let_28 false _let_26 true _let_23 false _let_18)) :args (_let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))) _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.addition X0 X1)) (tptp.multiplication (tptp.c X0) (tptp.c X1))))) (forall ((X0 $$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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.28/12.45 )
% 12.28/12.45 % SZS output end Proof for KLE023+2
% 12.28/12.45 % cvc5---1.0.5 exiting
% 12.28/12.45 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------