TSTP Solution File: KLE007+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE007+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 05:26:47 EDT 2023
% Result : Theorem 0.83s 1.04s
% Output : Proof 0.83s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE007+2 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 12:21:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.47 %----Proving TF0_NAR, FOF, or CNF
% 0.83/1.04 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.53YpLPKPpu/cvc5---1.0.5_6635.p...
% 0.83/1.04 ------- get file name : TPTP file name is KLE007+2
% 0.83/1.04 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6635.smt2...
% 0.83/1.04 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.83/1.04 % SZS status Theorem for KLE007+2
% 0.83/1.04 % SZS output start Proof for KLE007+2
% 0.83/1.04 (
% 0.83/1.04 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition X0 (tptp.c X0)))) (let ((_let_2 (tptp.addition (tptp.multiplication _let_1 X1) (tptp.multiplication _let_1 (tptp.c X1))))) (=> (and (tptp.test X1) (tptp.test X0)) (and (tptp.leq tptp.one _let_2) (tptp.leq _let_2 tptp.one))))))))) (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 $$unsorted) (B $$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 $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_11 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_13 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_15 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_16 (tptp.multiplication _let_15 _let_13))) (let ((_let_17 (tptp.multiplication _let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_18 (tptp.addition _let_17 _let_16))) (let ((_let_19 (tptp.leq _let_18 tptp.one))) (let ((_let_20 (tptp.leq tptp.one _let_18))) (let ((_let_21 (and _let_20 _let_19))) (let ((_let_22 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21))) (let ((_let_27 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.addition X0 (tptp.c X0)))) (let ((_let_2 (tptp.addition (tptp.multiplication _let_1 X1) (tptp.multiplication _let_1 (tptp.c X1))))) (or (not (tptp.test X1)) (not (tptp.test X0)) (and (tptp.leq tptp.one _let_2) (tptp.leq _let_2 tptp.one)))))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_30 (or))) (let ((_let_31 (not _let_27))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_29) :args (_let_31))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_27))) (REFL :args (_let_28)) :args _let_30)) _let_29 :args (_let_28 true _let_27)))) (let ((_let_33 (tptp.addition tptp.one _let_18))) (let ((_let_34 (= _let_18 _let_33))) (let ((_let_35 (= _let_20 _let_34))) (let ((_let_36 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (_let_36))) (let ((_let_39 ((tptp.leq A B)))) (let ((_let_40 (= _let_15 (tptp.addition _let_15 _let_15)))) (let ((_let_41 (= _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_42 (= _let_13 (tptp.multiplication tptp.one _let_13)))) (let ((_let_43 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_44 (= _let_16 (tptp.multiplication _let_16 tptp.one)))) (let ((_let_45 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_17) (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_46 (tptp.multiplication _let_16 _let_15))) (let ((_let_47 (= (tptp.addition _let_46 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_46)))) (let ((_let_48 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_13))) (let ((_let_49 (tptp.multiplication _let_14 _let_13))) (let ((_let_50 (tptp.addition _let_49 _let_48))) (let ((_let_51 (= (tptp.multiplication _let_50 _let_15) (tptp.addition (tptp.multiplication _let_49 _let_15) (tptp.multiplication _let_48 _let_15))))) (let ((_let_52 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13))) (let ((_let_53 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_52))) (let ((_let_54 (tptp.multiplication _let_14 _let_52))) (let ((_let_55 (tptp.addition _let_54 _let_53))) (let ((_let_56 (tptp.addition _let_53 _let_54))) (let ((_let_57 (= _let_56 _let_55))) (let ((_let_58 (tptp.addition tptp.one _let_17))) (let ((_let_59 (tptp.addition _let_16 _let_58))) (let ((_let_60 (tptp.addition _let_58 _let_16))) (let ((_let_61 (= _let_60 _let_59))) (let ((_let_62 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_63 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_64 (= _let_63 _let_62))) (let ((_let_65 (tptp.addition _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_66 (= tptp.one _let_65))) (let ((_let_67 (= tptp.one _let_63))) (let ((_let_68 (tptp.multiplication _let_15 _let_52))) (let ((_let_69 (= _let_68 _let_56))) (let ((_let_70 (= _let_33 _let_60))) (let ((_let_71 (tptp.addition _let_48 _let_49))) (let ((_let_72 (= _let_71 _let_50))) (let ((_let_73 (= _let_16 _let_71))) (let ((_let_74 (= _let_18 _let_68))) (let ((_let_75 (= _let_18 (tptp.addition _let_16 _let_17)))) (let ((_let_76 (= _let_15 _let_65))) (let ((_let_77 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (_let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.addition A A)))) :args (_let_77))) _let_78 :args (_let_40 false _let_77)))) (let ((_let_80 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_81 (= _let_80 _let_41))) (let ((_let_82 (or _let_25 _let_81))) (let ((_let_83 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_84 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_85 (_let_83))) (let ((_let_86 ((tptp.complement X0 X1)))) (let ((_let_87 (REFL :args (_let_26)))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 0)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_30)) :args ((or _let_24 _let_26))) _let_32 :args (_let_24 true _let_26)))) (let ((_let_89 (= tptp.one _let_62))) (let ((_let_90 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_91 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_92 (and _let_91 _let_90 _let_89))) (let ((_let_93 (= _let_80 _let_92))) (let ((_let_94 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (_let_94))) (let ((_let_97 ((tptp.multiplication X0 X1)))) (let ((_let_98 (_let_12))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 ((tptp.addition A B)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_64 false _let_12)))) (let ((_let_102 (and _let_90 _let_91 _let_67))) (let ((_let_103 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_104 (= _let_103 _let_102))) (let ((_let_105 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_106 (not _let_105))) (let ((_let_107 (= _let_24 _let_106))) (let ((_let_108 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_109 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_110 (not _let_103))) (let ((_let_111 (_let_106))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_110 _let_102 (not _let_104)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_111)) :args _let_111) (REWRITE :args ((=> _let_106 (not _let_110)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_105))) (REFL :args (_let_103)) :args _let_30)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_107)) :args ((or _let_25 _let_106 (not _let_107)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.test X0)))) :args (_let_108))) _let_109 :args (_let_107 false _let_108)) :args (_let_106 false _let_24 false _let_107)) :args (_let_103 true _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X1 X0)))) :args _let_96)) _let_95 :args (_let_104 false _let_94)) :args (_let_102 false _let_103 false _let_104)))) (let ((_let_113 (not _let_102))) (let ((_let_114 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 2)) :args ((or _let_67 _let_113))) _let_112 :args (_let_67 false _let_102)))) (let ((_let_115 (not _let_64))) (let ((_let_116 (not _let_67))) (let ((_let_117 (and _let_67 _let_64))) (let ((_let_118 (ASSUME :args (_let_64)))) (let ((_let_119 (SYMM (SYMM _let_118)))) (let ((_let_120 (ASSUME :args (_let_67)))) (let ((_let_121 (SYMM (SYMM _let_120)))) (let ((_let_122 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or (not _let_80) _let_41 (not _let_81)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_93)) :args ((or _let_80 (not _let_92) (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_92)) :args ((or (not _let_90) (not _let_91) _let_92 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 0)) :args ((or _let_90 _let_113))) _let_112 :args (_let_90 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_91 _let_113))) _let_112 :args (_let_91 false _let_102)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_117)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_118 _let_120) (SCOPE (TRANS _let_121 _let_119) :args (_let_64 _let_67))) :args (_let_67 _let_64))) :args (true _let_117)) :args ((or _let_116 _let_89 _let_115))) _let_114 _let_101 :args (_let_89 false _let_67 false _let_64)) :args (_let_92 false _let_90 false _let_91 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_96)) _let_95 :args (_let_93 false _let_94)) :args (_let_80 false _let_92 false _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_25 _let_81 (not _let_82)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_85))) _let_84 :args (_let_82 false _let_83)) :args (_let_81 false _let_24 false _let_82)) :args (_let_41 false _let_80 false _let_81)))) (let ((_let_123 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 ((tptp.multiplication tptp.one A)))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (_let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_42 false _let_123)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_126)) :args _let_125)) _let_124 :args (_let_43 false _let_123)))) (let ((_let_129 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_130 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.multiplication A tptp.one)))) :args (_let_129))) _let_130 :args (_let_44 false _let_129)))) (let ((_let_132 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_45 false _let_12)))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_46 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98))) _let_99 :args (_let_47 false _let_12)))) (let ((_let_134 (_let_6))) (let ((_let_135 (ASSUME :args _let_134))) (let ((_let_136 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (_let_49 _let_48 _let_15 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_135 :args (_let_51 false _let_6)))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_58 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_61 false _let_12)))) (let ((_let_139 (and (= tptp.zero (tptp.multiplication _let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14)) _let_66))) (let ((_let_140 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14))) (let ((_let_141 (= _let_140 _let_139))) (let ((_let_142 (or _let_23 _let_140))) (let ((_let_143 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_139 2)) :args ((or _let_66 (not _let_139)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_141)) :args ((or _let_139 (not _let_140) (not _let_141)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_142)) :args ((or _let_23 _let_140 (not _let_142)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_26 1)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_30)) :args ((or _let_22 _let_26))) _let_32 :args (_let_22 true _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_84 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_86)) :args _let_85))) _let_84 :args (_let_142 false _let_83)) :args (_let_140 false _let_22 false _let_142)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_97)) :args _let_96)) _let_95 :args (_let_141 false _let_94)) :args (_let_139 false _let_140 false _let_141)) :args (_let_66 false _let_139)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 _let_52 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_135 :args (_let_69 false _let_6)))) (let ((_let_145 (_let_11))) (let ((_let_146 (ASSUME :args _let_145))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_146 :args (_let_16 _let_17 tptp.one QUANTIFIERS_INST_E_MATCHING ((tptp.addition A (tptp.addition B C))))) :args _let_145)) _let_146 :args (_let_70 false _let_11)))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_48 _let_49 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_72 false _let_12)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_135 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 _let_13 QUANTIFIERS_INST_E_MATCHING _let_136)) :args _let_134)) _let_135 :args (_let_73 false _let_6)))) (let ((_let_150 (_let_7))) (let ((_let_151 (ASSUME :args _let_150))) (let ((_let_152 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_151 :args (_let_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_13 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_150))) _let_151 :args (_let_74 false _let_7)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_17 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_75 false _let_12)))) (let ((_let_154 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_76 false _let_12)))) (let ((_let_155 (not _let_40))) (let ((_let_156 (not _let_41))) (let ((_let_157 (not _let_42))) (let ((_let_158 (not _let_43))) (let ((_let_159 (not _let_44))) (let ((_let_160 (not _let_45))) (let ((_let_161 (not _let_47))) (let ((_let_162 (not _let_51))) (let ((_let_163 (not _let_61))) (let ((_let_164 (not _let_66))) (let ((_let_165 (not _let_69))) (let ((_let_166 (not _let_70))) (let ((_let_167 (not _let_72))) (let ((_let_168 (not _let_73))) (let ((_let_169 (not _let_74))) (let ((_let_170 (not _let_75))) (let ((_let_171 (not _let_76))) (let ((_let_172 (and _let_76 _let_75 _let_74 _let_73 _let_72 _let_70 _let_69 _let_67 _let_66 _let_64 _let_61 _let_57 _let_51 _let_47 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40))) (let ((_let_173 (= tptp.one _let_55))) (let ((_let_174 (= tptp.one _let_59))) (let ((_let_175 (ASSUME :args (_let_70)))) (let ((_let_176 (SYMM _let_175))) (let ((_let_177 (ASSUME :args (_let_61)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (SYMM (SYMM (ASSUME :args (_let_174)))))) (let ((_let_180 (ASSUME :args (_let_57)))) (let ((_let_181 (SYMM (SYMM _let_180)))) (let ((_let_182 (ASSUME :args (_let_69)))) (let ((_let_183 (SYMM _let_182))) (let ((_let_184 (SYMM _let_183))) (let ((_let_185 (ASSUME :args (_let_74)))) (let ((_let_186 (SYMM _let_185))) (let ((_let_187 (SYMM _let_186))) (let ((_let_188 (ASSUME :args (_let_75)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (APPLY_UF tptp.addition))) (let ((_let_191 (REFL :args (_let_17)))) (let ((_let_192 (ASSUME :args (_let_73)))) (let ((_let_193 (SYMM _let_192))) (let ((_let_194 (CONG _let_193 _let_191 :args _let_190))) (let ((_let_195 (ASSUME :args (_let_72)))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (CONG _let_196 _let_191 :args _let_190))) (let ((_let_198 (APPLY_UF tptp.multiplication))) (let ((_let_199 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_200 (ASSUME :args (_let_76)))) (let ((_let_201 (SYMM _let_200))) (let ((_let_202 (ASSUME :args (_let_66)))) (let ((_let_203 (SYMM _let_202))) (let ((_let_204 (SYMM _let_203))) (let ((_let_205 (TRANS _let_204 _let_201))) (let ((_let_206 (ASSUME :args (_let_43)))) (let ((_let_207 (TRANS (SYMM (SYMM _let_206)) (CONG _let_205 _let_199 :args _let_198)))) (let ((_let_208 (TRANS _let_196 _let_193))) (let ((_let_209 (SYMM _let_208))) (let ((_let_210 (ASSUME :args (_let_44)))) (let ((_let_211 (SYMM _let_205))) (let ((_let_212 (CONG _let_208 _let_211 :args _let_198))) (let ((_let_213 (CONG _let_209 (REFL :args (_let_15)) :args _let_198))) (let ((_let_214 (SYMM _let_213))) (let ((_let_215 (ASSUME :args (_let_51)))) (let ((_let_216 (TRANS (SYMM _let_215) _let_214))) (let ((_let_217 (CONG (TRANS _let_216 (TRANS _let_213 _let_212 (SYMM _let_210)) _let_209) _let_207 :args _let_190))) (let ((_let_218 (CONG (SYMM _let_216) _let_199 :args _let_190))) (let ((_let_219 (ASSUME :args (_let_47)))) (let ((_let_220 (SYMM _let_219))) (let ((_let_221 (ASSUME :args (_let_42)))) (let ((_let_222 (ASSUME :args (_let_41)))) (let ((_let_223 (CONG (SYMM _let_207) (TRANS (SYMM _let_222) (SYMM (SYMM _let_221)) (CONG _let_205 (REFL :args (_let_13)) :args _let_198) _let_210 (SYMM _let_212) _let_214) :args _let_190))) (let ((_let_224 (ASSUME :args (_let_45)))) (let ((_let_225 (SYMM (SYMM _let_224)))) (let ((_let_226 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_207 :args _let_190))) (let ((_let_227 (ASSUME :args (_let_40)))) (let ((_let_228 (MODUS_PONENS (AND_INTRO _let_120 _let_222 _let_221 _let_206 _let_200 _let_210 _let_188 _let_185 _let_224 _let_192 _let_118 _let_195 _let_227 _let_175 _let_202 _let_215 _let_182 _let_177 _let_219) (SCOPE (TRANS _let_204 _let_201 (SYMM (SYMM _let_227)) (CONG _let_211 (TRANS _let_200 _let_203 _let_121 _let_119 _let_226 _let_225 _let_223 _let_220 _let_218 _let_217 _let_197 _let_194 _let_189 _let_185 _let_182) :args _let_190) (CONG (REFL :args (tptp.one)) (TRANS _let_183 _let_186) :args _let_190) (SYMM _let_176) (SYMM _let_178)) :args (_let_67 _let_41 _let_42 _let_43 _let_76 _let_44 _let_75 _let_74 _let_45 _let_73 _let_64 _let_72 _let_40 _let_70 _let_66 _let_51 _let_69 _let_61 _let_47))))) (let ((_let_229 (tptp.addition _let_18 tptp.one))) (let ((_let_230 (= tptp.one _let_229))) (let ((_let_231 (= _let_19 _let_230))) (let ((_let_232 (= _let_33 _let_229))) (let ((_let_233 (and _let_76 _let_75 _let_74 _let_73 _let_232 _let_72 _let_70 _let_69 _let_67 _let_66 _let_64 _let_61 _let_51 _let_47 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40))) (let ((_let_234 (ASSUME :args (_let_232)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_231)) :args ((or _let_19 (not _let_230) (not _let_231)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_233)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_234 _let_175 _let_177 _let_228) (SCOPE (TRANS _let_179 _let_178 _let_176 (SYMM (SYMM _let_234))) :args (_let_232 _let_70 _let_61 _let_174))) :args (_let_76 _let_75 _let_74 _let_73 _let_232 _let_72 _let_70 _let_69 _let_67 _let_66 _let_64 _let_61 _let_51 _let_47 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40))) :args (true _let_233)) :args ((or _let_230 _let_171 _let_170 _let_169 _let_168 (not _let_232) _let_167 _let_166 _let_165 _let_116 _let_164 _let_115 _let_163 _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155))) _let_154 _let_153 _let_152 _let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_232 false _let_12)) _let_148 _let_147 _let_144 _let_114 _let_143 _let_101 _let_138 _let_137 _let_133 _let_132 _let_131 _let_128 _let_127 _let_122 _let_79 :args (_let_230 false _let_76 false _let_75 false _let_74 false _let_73 false _let_232 false _let_72 false _let_70 false _let_69 false _let_67 false _let_66 false _let_64 false _let_61 false _let_51 false _let_47 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (_let_18 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_231 false _let_36)) :args (_let_19 false _let_230 false _let_231)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_35)) :args ((or _let_20 (not _let_34) (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_172)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_175 _let_177 _let_228 (MODUS_PONENS (AND_INTRO _let_120 _let_222 _let_221 _let_200 _let_210 _let_188 _let_185 _let_224 _let_192 _let_118 _let_195 _let_202 _let_215 _let_182 _let_219 _let_180 _let_206) (SCOPE (TRANS _let_121 _let_119 _let_226 _let_225 _let_223 _let_220 _let_218 _let_217 _let_197 _let_194 _let_189 _let_187 _let_184 _let_181) :args (_let_67 _let_41 _let_42 _let_76 _let_44 _let_75 _let_74 _let_45 _let_73 _let_64 _let_72 _let_66 _let_51 _let_69 _let_47 _let_57 _let_43))) _let_180 _let_182 _let_185) (SCOPE (TRANS _let_187 _let_184 _let_181 (SYMM (ASSUME :args (_let_173))) _let_179 _let_178 _let_176) :args (_let_70 _let_61 _let_174 _let_173 _let_57 _let_69 _let_74))) :args (_let_76 _let_75 _let_74 _let_73 _let_72 _let_70 _let_69 _let_67 _let_66 _let_64 _let_61 _let_57 _let_51 _let_47 _let_45 _let_44 _let_43 _let_42 _let_41 _let_40))) :args (true _let_172)) :args ((or _let_34 _let_171 _let_170 _let_169 _let_168 _let_167 _let_166 _let_165 _let_116 _let_164 _let_115 _let_163 (not _let_57) _let_162 _let_161 _let_160 _let_159 _let_158 _let_157 _let_156 _let_155))) _let_154 _let_153 _let_152 _let_149 _let_148 _let_147 _let_144 _let_114 _let_143 _let_101 _let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_53 _let_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_100)) :args _let_98)) _let_99 :args (_let_57 false _let_12)) _let_137 _let_133 _let_132 _let_131 _let_128 _let_127 _let_122 _let_79 :args (_let_34 false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_70 false _let_69 false _let_67 false _let_66 false _let_64 false _let_61 false _let_57 false _let_51 false _let_47 false _let_45 false _let_44 false _let_43 false _let_42 false _let_41 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_37 :args (tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_39)) :args _let_38)) _let_37 :args (_let_35 false _let_36)) :args (_let_20 false _let_34 false _let_35)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_26 2)) _let_32 :args ((not _let_21) true _let_26)) :args (false false _let_19 false _let_20 true _let_21)) :args (_let_12 _let_11 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) _let_9 _let_8 _let_7 _let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)) (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)) _let_5 _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.83/1.05 )
% 0.83/1.05 % SZS output end Proof for KLE007+2
% 0.83/1.05 % cvc5---1.0.5 exiting
% 0.83/1.05 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------