TSTP Solution File: KLE018+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE018+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n002.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 05:26:52 EDT 2023
% Result : Theorem 11.50s 11.69s
% Output : Proof 11.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.16 % Problem : KLE018+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.18 % Command : do_cvc5 %s %d
% 0.17/0.39 % Computer : n002.cluster.edu
% 0.17/0.39 % Model : x86_64 x86_64
% 0.17/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.39 % Memory : 8042.1875MB
% 0.17/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.39 % CPULimit : 300
% 0.17/0.39 % WCLimit : 300
% 0.17/0.39 % DateTime : Tue Aug 29 12:51:35 EDT 2023
% 0.17/0.39 % CPUTime :
% 0.24/0.53 %----Proving TF0_NAR, FOF, or CNF
% 11.50/11.69 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.kSFqhdDve5/cvc5---1.0.5_5527.p...
% 11.50/11.69 ------- get file name : TPTP file name is KLE018+1
% 11.50/11.69 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5527.smt2...
% 11.50/11.69 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.50/11.69 --- Run --no-e-matching --full-saturate-quant at 5...
% 11.50/11.69 % SZS status Theorem for KLE018+1
% 11.50/11.69 % SZS output start Proof for KLE018+1
% 11.50/11.69 (
% 11.50/11.69 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1) (tptp.test X2)) (=> (tptp.leq (tptp.multiplication X0 (tptp.c X1)) X2) (tptp.leq X0 (tptp.addition X1 X2)))))))) (let ((_let_2 (forall ((X0 $$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 $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_9 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_12 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_14 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (= _let_14 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_16 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_22 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_23 (= _let_21 _let_22))) (let ((_let_24 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (= tptp.zero _let_24))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_27 (= _let_22 (tptp.addition _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_28 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_29 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28))) (let ((_let_30 (tptp.addition _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_31 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_30))) (let ((_let_32 (tptp.addition _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28))) (let ((_let_34 (= _let_33 _let_32))) (let ((_let_35 (tptp.multiplication _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_37 (= (tptp.multiplication _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_36 _let_35)))) (let ((_let_38 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28))) (let ((_let_39 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_33) (tptp.addition _let_36 _let_38)))) (let ((_let_40 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29))) (let ((_let_41 (= _let_40 (tptp.addition _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_42 (= (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_36 _let_24)))) (let ((_let_43 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_44 (tptp.addition _let_29 _let_43))) (let ((_let_45 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32) _let_44))) (let ((_let_46 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_30) (tptp.addition _let_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_47 (= tptp.zero _let_35))) (let ((_let_48 (= tptp.zero _let_38))) (let ((_let_49 (= tptp.one _let_32))) (let ((_let_50 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_51 (= tptp.one _let_50))) (let ((_let_52 (= (tptp.addition _let_29 (tptp.addition _let_43 _let_36)) (tptp.addition _let_44 _let_36)))) (let ((_let_53 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_50))) (let ((_let_54 (= _let_53 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25)))) (let ((_let_55 (= (tptp.multiplication _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_43 (tptp.multiplication _let_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_56 (_let_13))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_61 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_62 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_63 (_let_61))) (let ((_let_64 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_65 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_66 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_67 (= _let_66 _let_23))) (let ((_let_68 (not _let_23))) (let ((_let_69 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_70 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_71 (_let_69))) (let ((_let_72 (tptp.leq _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_73 (not _let_72))) (let ((_let_74 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_75 (not _let_74))) (let ((_let_76 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (not _let_76))) (let ((_let_78 (or _let_77 _let_75 (not (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_73 _let_66))) (let ((_let_79 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (not (tptp.test X2)) (not (tptp.leq (tptp.multiplication X0 (tptp.c X1)) X2)) (tptp.leq X0 (tptp.addition X1 X2)))))) (let ((_let_80 (not _let_78))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (or))) (let ((_let_83 (not _let_79))) (let ((_let_84 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_81) :args (_let_83))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_83) _let_79))) (REFL :args (_let_80)) :args _let_82)) _let_81 :args (_let_80 true _let_79)))) (let ((_let_85 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_86 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_87 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_88 (_let_12))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (= _let_72 _let_31))) (let ((_let_91 (REFL :args (_let_78)))) (let ((_let_92 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28 QUANTIFIERS_INST_ENUM))) (let ((_let_93 (_let_7))) (let ((_let_94 (ASSUME :args _let_93))) (let ((_let_95 (_let_8))) (let ((_let_96 (ASSUME :args _let_95))) (let ((_let_97 (and _let_47 _let_48 _let_49))) (let ((_let_98 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28))) (let ((_let_99 (= _let_98 _let_97))) (let ((_let_100 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (_let_100))) (let ((_let_103 (or _let_75 _let_98))) (let ((_let_104 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_99)) :args ((or (not _let_98) _let_97 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_75 _let_98 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 1)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_82)) :args ((or _let_74 _let_78))) _let_84 :args (_let_74 true _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_92) :args (_let_104)))) _let_105 :args (_let_103 false _let_104)) :args (_let_98 false _let_74 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (_let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_102)) _let_101 :args (_let_99 false _let_100)) :args (_let_97 false _let_98 false _let_99)))) (let ((_let_107 (not _let_97))) (let ((_let_108 (and (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25)) (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_51))) (let ((_let_109 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_110 (= _let_109 _let_108))) (let ((_let_111 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_112 (not _let_111))) (let ((_let_113 (= _let_76 _let_112))) (let ((_let_114 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_115 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_116 (not _let_109))) (let ((_let_117 (_let_112))) (let ((_let_118 (and _let_15 _let_17 _let_18 _let_20 _let_25 _let_26 _let_27 _let_31 _let_34 _let_48 _let_47 _let_37 _let_39 _let_49 _let_41 _let_42 _let_45 _let_46 _let_51 _let_52 _let_54 _let_55))) (let ((_let_119 (ASSUME :args (_let_27)))) (let ((_let_120 (APPLY_UF tptp.addition))) (let ((_let_121 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_122 (ASSUME :args (_let_15)))) (let ((_let_123 (ASSUME :args (_let_26)))) (let ((_let_124 (APPLY_UF tptp.multiplication))) (let ((_let_125 (ASSUME :args (_let_49)))) (let ((_let_126 (SYMM _let_125))) (let ((_let_127 (ASSUME :args (_let_34)))) (let ((_let_128 (SYMM _let_127))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (TRANS _let_129 _let_126))) (let ((_let_131 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_132 (CONG _let_131 _let_130 :args _let_124))) (let ((_let_133 (ASSUME :args (_let_39)))) (let ((_let_134 (ASSUME :args (_let_48)))) (let ((_let_135 (REFL :args (_let_36)))) (let ((_let_136 (CONG _let_135 (SYMM (SYMM _let_134)) :args _let_120))) (let ((_let_137 (ASSUME :args (_let_25)))) (let ((_let_138 (CONG _let_135 (SYMM _let_137) :args _let_120))) (let ((_let_139 (ASSUME :args (_let_42)))) (let ((_let_140 (SYMM _let_139))) (let ((_let_141 (ASSUME :args (_let_20)))) (let ((_let_142 (CONG (SYMM (SYMM _let_141)) _let_131 :args _let_124))) (let ((_let_143 (ASSUME :args (_let_18)))) (let ((_let_144 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_145 (ASSUME :args (_let_45)))) (let ((_let_146 (ASSUME :args (_let_52)))) (let ((_let_147 (ASSUME :args (_let_47)))) (let ((_let_148 (CONG _let_135 (SYMM _let_147) :args _let_120))) (let ((_let_149 (ASSUME :args (_let_37)))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (ASSUME :args (_let_51)))) (let ((_let_152 (ASSUME :args (_let_55)))) (let ((_let_153 (ASSUME :args (_let_54)))) (let ((_let_154 (ASSUME :args (_let_17)))) (let ((_let_155 (ASSUME :args (_let_41)))) (let ((_let_156 (SYMM _let_155))) (let ((_let_157 (SYMM _let_156))) (let ((_let_158 (ASSUME :args (_let_46)))) (let ((_let_159 (ASSUME :args (_let_31)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_118)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_119 _let_122 _let_143 _let_125 _let_127 _let_145 _let_123 _let_133 _let_134 _let_137 _let_139 _let_141 _let_146 _let_147 _let_149 _let_151 _let_152 _let_153 _let_154 _let_155 _let_158 _let_159) (SCOPE (TRANS (CONG _let_131 (SYMM (SYMM _let_159)) :args _let_120) (SYMM (SYMM _let_158)) (CONG _let_157 _let_121 :args _let_120) (CONG (TRANS _let_156 (TRANS _let_157 (CONG (REFL :args (_let_29)) (TRANS _let_123 (SYMM _let_132) _let_133 (SYMM _let_136) (SYMM _let_148) _let_150 (CONG (TRANS _let_129 _let_126 _let_151 (CONG (SYMM (SYMM _let_154)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25)) :args _let_120) (SYMM _let_153)) _let_131 :args _let_124) (SYMM (SYMM _let_152)) (CONG (REFL :args (_let_43)) (TRANS (CONG (TRANS (SYMM _let_151) _let_125 _let_128) _let_131 :args _let_124) (SYMM _let_150) _let_148 (SYMM _let_138) _let_140 (SYMM _let_142)) :args _let_120)) :args _let_120) (SYMM (SYMM _let_146)) (CONG (TRANS (SYMM _let_145) (CONG _let_144 _let_128 :args _let_124) (CONG _let_144 _let_130 :args _let_124) (SYMM _let_143)) (TRANS _let_142 (SYMM _let_140) _let_138 _let_136 (SYMM _let_133) _let_132 (SYMM _let_123)) :args _let_120) _let_122) (SYMM _let_122)) _let_121 :args _let_120) (SYMM _let_119)) :args (_let_27 _let_15 _let_18 _let_49 _let_34 _let_45 _let_26 _let_39 _let_48 _let_25 _let_42 _let_20 _let_52 _let_47 _let_37 _let_51 _let_55 _let_54 _let_17 _let_41 _let_46 _let_31))) :args (_let_15 _let_17 _let_18 _let_20 _let_25 _let_26 _let_27 _let_31 _let_34 _let_48 _let_47 _let_37 _let_39 _let_49 _let_41 _let_42 _let_45 _let_46 _let_51 _let_52 _let_54 _let_55))) :args (true _let_118)) :args ((or (not _let_15) (not _let_17) (not _let_18) (not _let_20) _let_23 (not _let_25) (not _let_26) (not _let_27) (not _let_31) (not _let_34) (not _let_48) (not _let_47) (not _let_37) (not _let_39) (not _let_41) (not _let_42) (not _let_45) (not _let_46) (not _let_49) (not _let_51) (not _let_52) (not _let_54) (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_93)) _let_94 :args (_let_55 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_88)) _let_89 :args (_let_54 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_36 _let_43 _let_29 QUANTIFIERS_INST_CBQI_PROP)) :args _let_88)) _let_89 :args (_let_52 false _let_12)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_108 2)) :args ((or _let_51 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_110)) :args ((or _let_116 _let_108 (not _let_110)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_117)) :args _let_117) (REWRITE :args ((=> _let_112 (not _let_116)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_111))) (REFL :args (_let_109)) :args _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_113)) :args ((or _let_77 _let_112 (not _let_113)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 0)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_82)) :args ((or _let_76 _let_78))) _let_84 :args (_let_76 true _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_115 :args _let_60) :args (_let_114))) _let_115 :args (_let_113 false _let_114)) :args (_let_112 false _let_76 false _let_113)) :args (_let_109 true _let_111)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_ENUM)) :args _let_102)) _let_101 :args (_let_110 false _let_100)) :args (_let_108 false _let_109 false _let_110)) :args (_let_51 false _let_108)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 2)) :args ((or _let_49 _let_107))) _let_106 :args (_let_49 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 1)) :args ((or _let_48 _let_107))) _let_106 :args (_let_48 false _let_97)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_97 0)) :args ((or _let_47 _let_107))) _let_106 :args (_let_47 false _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_88)) _let_89 :args (_let_46 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_95)) _let_96 :args (_let_45 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_93)) _let_94 :args (_let_42 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_57 :args (_let_41 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_96 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28 QUANTIFIERS_INST_ENUM)) :args _let_95)) _let_96 :args (_let_39 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_93)) _let_94 :args (_let_37 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args _let_92) :args _let_56)) _let_57 :args (_let_34 false _let_13)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_90)) :args ((or _let_73 _let_31 (not _let_90)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_78 3)) (CONG _let_91 (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_82)) :args ((or _let_72 _let_78))) _let_84 :args (_let_72 true _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (_let_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_71)) _let_70 :args (_let_90 false _let_69)) :args (_let_31 false _let_72 false _let_90)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_88)) _let_89 :args (_let_27 false _let_12)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args _let_87) :args _let_63)) _let_62 :args (_let_26 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args _let_87) :args (_let_85))) _let_86 :args (_let_25 false _let_85)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_67)) :args ((or _let_66 _let_68 (not _let_67)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_78 4)) _let_84 :args ((not _let_66) true _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_71)) _let_70 :args (_let_67 false _let_69)) :args (_let_68 true _let_66 false _let_67)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_65 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_64))) _let_65 :args (_let_20 false _let_64)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_62 :args _let_60) :args _let_63)) _let_62 :args (_let_18 false _let_61)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args _let_60) :args (_let_58))) _let_59 :args (_let_17 false _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM)) :args _let_56)) _let_57 :args (_let_15 false _let_13)) :args (false false _let_55 false _let_54 false _let_52 false _let_51 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_42 false _let_41 false _let_39 false _let_37 false _let_34 false _let_31 false _let_27 false _let_26 false _let_25 true _let_23 false _let_20 false _let_18 false _let_17 false _let_15)) :args (_let_13 _let_12 _let_11 _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_9 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)) _let_8 _let_7 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.50/11.70 )
% 11.50/11.70 % SZS output end Proof for KLE018+1
% 11.50/11.70 % cvc5---1.0.5 exiting
% 11.50/11.70 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------