TSTP Solution File: KLE009+4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE009+4 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n004.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 05:26:48 EDT 2023
% Result : Theorem 0.87s 1.06s
% Output : Proof 0.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : KLE009+4 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : do_cvc5 %s %d
% 0.15/0.36 % Computer : n004.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 29 12:27:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.50 %----Proving TF0_NAR, FOF, or CNF
% 0.87/1.06 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Huoh1NndOx/cvc5---1.0.5_358.p...
% 0.87/1.06 ------- get file name : TPTP file name is KLE009+4
% 0.87/1.06 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_358.smt2...
% 0.87/1.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.87/1.06 % SZS status Theorem for KLE009+4
% 0.87/1.06 % SZS output start Proof for KLE009+4
% 0.87/1.06 (
% 0.87/1.06 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (let ((_let_3 (tptp.addition (tptp.addition (tptp.addition (tptp.multiplication X0 X1) (tptp.multiplication X0 _let_1)) (tptp.multiplication _let_2 X1)) (tptp.multiplication _let_2 _let_1)))) (=> (and (tptp.test X1) (tptp.test X0)) (and (tptp.leq tptp.one _let_3) (tptp.leq _let_3 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)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_9 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_11 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_12 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (tptp.multiplication _let_12 _let_11))) (let ((_let_14 (tptp.multiplication _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_15 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_11))) (let ((_let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (tptp.addition _let_16 _let_15))) (let ((_let_18 (tptp.addition _let_17 _let_14))) (let ((_let_19 (tptp.addition _let_18 _let_13))) (let ((_let_20 (tptp.leq _let_19 tptp.one))) (let ((_let_21 (tptp.leq tptp.one _let_19))) (let ((_let_22 (and _let_21 _let_20))) (let ((_let_23 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22))) (let ((_let_28 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (let ((_let_3 (tptp.addition (tptp.addition (tptp.addition (tptp.multiplication X0 X1) (tptp.multiplication X0 _let_1)) (tptp.multiplication _let_2 X1)) (tptp.multiplication _let_2 _let_1)))) (or (not (tptp.test X1)) (not (tptp.test X0)) (and (tptp.leq tptp.one _let_3) (tptp.leq _let_3 tptp.one))))))))) (let ((_let_29 (not _let_27))) (let ((_let_30 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_31 (or))) (let ((_let_32 (not _let_28))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_30) :args (_let_32))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_28))) (REFL :args (_let_29)) :args _let_31)) _let_30 :args (_let_29 true _let_28)))) (let ((_let_34 (tptp.addition tptp.one _let_19))) (let ((_let_35 (= _let_19 _let_34))) (let ((_let_36 (= _let_21 _let_35))) (let ((_let_37 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (_let_37))) (let ((_let_40 ((tptp.leq A B)))) (let ((_let_41 (= _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_42 (= _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_43 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_12))) (let ((_let_44 (tptp.addition _let_15 _let_13))) (let ((_let_45 (= _let_44 (tptp.multiplication _let_43 _let_11)))) (let ((_let_46 (= _let_11 (tptp.multiplication tptp.one _let_11)))) (let ((_let_47 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_48 (= tptp.one (tptp.addition tptp.one tptp.one)))) (let ((_let_49 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_50 (tptp.addition _let_13 _let_15))) (let ((_let_51 (tptp.addition _let_16 _let_14))) (let ((_let_52 (tptp.addition _let_50 _let_51))) (let ((_let_53 (= _let_52 (tptp.addition _let_51 _let_50)))) (let ((_let_54 (= _let_50 _let_44))) (let ((_let_55 (tptp.addition _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (= _let_43 _let_55))) (let ((_let_57 (tptp.addition _let_14 _let_16))) (let ((_let_58 (= _let_57 (tptp.multiplication _let_55 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_59 (tptp.addition _let_15 _let_51))) (let ((_let_60 (= (tptp.addition _let_13 _let_59) _let_52))) (let ((_let_61 (tptp.addition _let_13 _let_17))) (let ((_let_62 (tptp.addition _let_14 _let_61))) (let ((_let_63 (tptp.addition _let_61 _let_14))) (let ((_let_64 (= _let_63 _let_62))) (let ((_let_65 (tptp.addition tptp.one _let_18))) (let ((_let_66 (tptp.addition _let_13 _let_65))) (let ((_let_67 (tptp.addition _let_65 _let_13))) (let ((_let_68 (= _let_67 _let_66))) (let ((_let_69 (= _let_57 _let_51))) (let ((_let_70 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_71 (= tptp.one _let_70))) (let ((_let_72 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_73 (= tptp.one _let_72))) (let ((_let_74 (tptp.addition _let_15 _let_16))) (let ((_let_75 (= _let_59 (tptp.addition _let_74 _let_14)))) (let ((_let_76 (tptp.addition _let_13 _let_18))) (let ((_let_77 (= _let_76 _let_63))) (let ((_let_78 (= _let_34 _let_67))) (let ((_let_79 (= _let_19 _let_76))) (let ((_let_80 (= _let_17 _let_74))) (let ((_let_81 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_82 (= _let_81 _let_41))) (let ((_let_83 (or _let_26 _let_82))) (let ((_let_84 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_85 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_86 (_let_84))) (let ((_let_87 ((tptp.complement X0 X1)))) (let ((_let_88 (REFL :args (_let_27)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_31)) :args ((or _let_25 _let_27))) _let_33 :args (_let_25 true _let_27)))) (let ((_let_90 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_91 (= tptp.one _let_90))) (let ((_let_92 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_93 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_94 (and _let_93 _let_92 _let_91))) (let ((_let_95 (= _let_81 _let_94))) (let ((_let_96 (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_97 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (_let_96))) (let ((_let_99 ((tptp.multiplication X0 X1)))) (let ((_let_100 (= _let_70 _let_90))) (let ((_let_101 (_let_10))) (let ((_let_102 (ASSUME :args _let_101))) (let ((_let_103 ((tptp.addition A B)))) (let ((_let_104 (and _let_92 _let_93 _let_71))) (let ((_let_105 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_106 (= _let_105 _let_104))) (let ((_let_107 ((tptp.complement X1 X0)))) (let ((_let_108 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_109 (not _let_108))) (let ((_let_110 (= _let_25 _let_109))) (let ((_let_111 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_112 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_113 (_let_111))) (let ((_let_114 ((tptp.test X0)))) (let ((_let_115 (not _let_105))) (let ((_let_116 (_let_109))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_106)) :args ((or _let_115 _let_104 (not _let_106)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_116)) :args _let_116) (REWRITE :args ((=> _let_109 (not _let_115)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_109) _let_108))) (REFL :args (_let_105)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_110)) :args ((or _let_26 _let_109 (not _let_110)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_113)) _let_112 :args (_let_110 false _let_111)) :args (_let_109 false _let_25 false _let_110)) :args (_let_105 true _let_108)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_98)) _let_97 :args (_let_106 false _let_96)) :args (_let_104 false _let_105 false _let_106)))) (let ((_let_118 (not _let_104))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_104 2)) :args ((or _let_71 _let_118))) _let_117 :args (_let_71 false _let_104)))) (let ((_let_120 (not _let_71))) (let ((_let_121 (and _let_71 _let_100))) (let ((_let_122 (ASSUME :args (_let_100)))) (let ((_let_123 (ASSUME :args (_let_71)))) (let ((_let_124 (SYMM (SYMM _let_123)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_82)) :args ((or (not _let_81) _let_41 (not _let_82)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_95)) :args ((or _let_81 (not _let_94) (not _let_95)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_94)) :args ((or (not _let_92) (not _let_93) _let_94 (not _let_91)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_104 0)) :args ((or _let_92 _let_118))) _let_117 :args (_let_92 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_104 1)) :args ((or _let_93 _let_118))) _let_117 :args (_let_93 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_121)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_122 _let_123) (SCOPE (TRANS _let_124 (SYMM (SYMM _let_122))) :args (_let_100 _let_71))) :args (_let_71 _let_100))) :args (true _let_121)) :args ((or _let_120 _let_91 (not _let_100)))) _let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_100 false _let_10)) :args (_let_91 false _let_71 false _let_100)) :args (_let_94 false _let_92 false _let_93 false _let_91)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_99)) :args _let_98)) _let_97 :args (_let_95 false _let_96)) :args (_let_81 false _let_94 false _let_95)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_26 _let_82 (not _let_83)))) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_86))) _let_85 :args (_let_83 false _let_84)) :args (_let_82 false _let_25 false _let_83)) :args (_let_41 false _let_81 false _let_82)))) (let ((_let_126 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_127 (= _let_126 _let_42))) (let ((_let_128 (or _let_24 _let_127))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_88 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_31)) :args ((or _let_23 _let_27))) _let_33 :args (_let_23 true _let_27)))) (let ((_let_130 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_131 (= tptp.one _let_130))) (let ((_let_132 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_133 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_134 (and _let_133 _let_132 _let_131))) (let ((_let_135 (= _let_126 _let_134))) (let ((_let_136 (= _let_72 _let_130))) (let ((_let_137 (and _let_132 _let_133 _let_73))) (let ((_let_138 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_139 (= _let_138 _let_137))) (let ((_let_140 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_141 (not _let_140))) (let ((_let_142 (= _let_23 _let_141))) (let ((_let_143 (not _let_138))) (let ((_let_144 (_let_141))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_139)) :args ((or _let_143 _let_137 (not _let_139)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_144)) :args _let_144) (REWRITE :args ((=> _let_141 (not _let_143)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_141) _let_140))) (REFL :args (_let_138)) :args _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_142)) :args ((or _let_24 _let_141 (not _let_142)))) _let_129 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_112 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_114)) :args _let_113)) _let_112 :args (_let_142 false _let_111)) :args (_let_141 false _let_23 false _let_142)) :args (_let_138 true _let_140)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_107)) :args _let_98)) _let_97 :args (_let_139 false _let_96)) :args (_let_137 false _let_138 false _let_139)))) (let ((_let_146 (not _let_137))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_137 2)) :args ((or _let_73 _let_146))) _let_145 :args (_let_73 false _let_137)))) (let ((_let_148 (not _let_73))) (let ((_let_149 (and _let_73 _let_136))) (let ((_let_150 (ASSUME :args (_let_136)))) (let ((_let_151 (ASSUME :args (_let_73)))) (let ((_let_152 (SYMM (SYMM _let_151)))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_127)) :args ((or (not _let_126) _let_42 (not _let_127)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_135)) :args ((or _let_126 (not _let_134) (not _let_135)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_134)) :args ((or (not _let_132) (not _let_133) _let_134 (not _let_131)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_137 0)) :args ((or _let_132 _let_146))) _let_145 :args (_let_132 false _let_137)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_137 1)) :args ((or _let_133 _let_146))) _let_145 :args (_let_133 false 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false _let_10)))) (let ((_let_173 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_155 :args (_let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_156)) :args _let_154))) _let_155 :args (_let_58 false _let_6)))) (let ((_let_174 (_let_9))) (let ((_let_175 (ASSUME :args _let_174))) (let ((_let_176 ((tptp.addition A (tptp.addition B C))))) (let ((_let_177 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (_let_51 _let_15 _let_13 QUANTIFIERS_INST_E_MATCHING _let_176)) :args _let_174)) _let_175 :args (_let_60 false _let_9)))) (let ((_let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_65 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_68 false _let_10)))) (let ((_let_179 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_16 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101))) _let_102 :args (_let_69 false _let_10)))) (let ((_let_180 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (_let_14 _let_16 _let_15 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.addition A B) C)))) :args _let_174)) _let_175 :args (_let_75 false _let_9)))) (let ((_let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (_let_13 _let_18 tptp.one QUANTIFIERS_INST_E_MATCHING _let_176)) :args _let_174)) _let_175 :args (_let_78 false _let_9)))) (let ((_let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_18 _let_13 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_79 false _let_10)))) (let ((_let_183 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_16 _let_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_80 false _let_10)))) (let ((_let_184 (not _let_41))) (let ((_let_185 (not _let_42))) (let ((_let_186 (not _let_45))) (let ((_let_187 (not _let_46))) (let ((_let_188 (not _let_47))) (let ((_let_189 (not _let_48))) (let ((_let_190 (not _let_49))) (let ((_let_191 (not _let_53))) (let ((_let_192 (not _let_54))) (let ((_let_193 (not _let_56))) (let ((_let_194 (not _let_58))) (let ((_let_195 (not _let_60))) (let ((_let_196 (not _let_68))) (let ((_let_197 (not _let_69))) (let ((_let_198 (not _let_75))) (let ((_let_199 (not _let_78))) (let ((_let_200 (not _let_79))) (let ((_let_201 (not _let_80))) (let ((_let_202 (and _let_80 _let_79 _let_78 _let_77 _let_75 _let_73 _let_71 _let_69 _let_68 _let_64 _let_60 _let_58 _let_56 _let_54 _let_53 _let_49 _let_48 _let_47 _let_46 _let_45 _let_42 _let_41))) (let ((_let_203 (= tptp.one _let_62))) (let ((_let_204 (= tptp.one _let_66))) (let ((_let_205 (ASSUME :args (_let_78)))) (let ((_let_206 (SYMM _let_205))) (let ((_let_207 (ASSUME :args (_let_68)))) (let ((_let_208 (SYMM _let_207))) (let ((_let_209 (SYMM (SYMM (ASSUME :args (_let_204)))))) (let ((_let_210 (ASSUME :args (_let_64)))) (let ((_let_211 (SYMM (SYMM _let_210)))) (let ((_let_212 (ASSUME :args (_let_77)))) (let ((_let_213 (SYMM (SYMM _let_212)))) (let ((_let_214 (ASSUME :args (_let_79)))) (let ((_let_215 (SYMM _let_214))) (let ((_let_216 (APPLY_UF tptp.addition))) (let ((_let_217 (ASSUME :args (_let_80)))) (let ((_let_218 (ASSUME :args (_let_75)))) (let ((_let_219 (CONG (REFL :args (_let_13)) (TRANS (SYMM (SYMM _let_218)) (CONG (SYMM _let_217) (REFL :args (_let_14)) :args _let_216)) :args _let_216))) (let ((_let_220 (ASSUME :args (_let_60)))) (let ((_let_221 (SYMM _let_220))) (let ((_let_222 (ASSUME :args (_let_53)))) (let ((_let_223 (SYMM _let_222))) (let ((_let_224 (ASSUME :args (_let_54)))) (let ((_let_225 (ASSUME :args (_let_45)))) (let ((_let_226 (APPLY_UF tptp.multiplication))) (let ((_let_227 (REFL :args (_let_11)))) (let ((_let_228 (ASSUME :args (_let_56)))) (let ((_let_229 (ASSUME :args (_let_42)))) (let ((_let_230 (TRANS _let_152 (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (SYMM _let_229) :args _let_216) _let_228))) (let ((_let_231 (ASSUME :args (_let_46)))) (let ((_let_232 (ASSUME :args (_let_69)))) (let ((_let_233 (ASSUME :args (_let_58)))) (let ((_let_234 (ASSUME :args (_let_47)))) (let ((_let_235 (CONG (TRANS (TRANS (SYMM (SYMM _let_234)) (CONG _let_230 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) :args _let_226) (SYMM _let_233)) (SYMM (SYMM _let_232))) (TRANS (SYMM (SYMM _let_231)) (CONG _let_230 _let_227 :args _let_226) (CONG (SYMM _let_228) _let_227 :args _let_226) (SYMM _let_225) (SYMM _let_224)) :args _let_216))) (let ((_let_236 (ASSUME :args (_let_41)))) (let ((_let_237 (ASSUME :args (_let_49)))) (let ((_let_238 (CONG (SYMM _let_237) (SYMM _let_236) :args _let_216))) (let ((_let_239 (CONG _let_237 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) :args _let_216))) (let ((_let_240 (ASSUME :args (_let_48)))) (let ((_let_241 (MODUS_PONENS (AND_INTRO _let_207 _let_205 _let_214 _let_217 _let_218 _let_220 _let_222 _let_232 _let_233 _let_228 _let_229 _let_151 _let_234 _let_224 _let_225 _let_231 _let_237 _let_236 _let_123 _let_240) (SCOPE (TRANS (SYMM (SYMM _let_240)) (CONG (REFL :args (tptp.one)) (TRANS _let_124 _let_239 _let_238 _let_235 _let_223 _let_221 _let_219 _let_215) :args _let_216) (SYMM _let_206) (SYMM _let_208)) :args (_let_68 _let_78 _let_79 _let_80 _let_75 _let_60 _let_53 _let_69 _let_58 _let_56 _let_42 _let_73 _let_47 _let_54 _let_45 _let_46 _let_49 _let_41 _let_71 _let_48))))) (let ((_let_242 (tptp.addition _let_19 tptp.one))) (let ((_let_243 (= tptp.one _let_242))) (let ((_let_244 (= _let_20 _let_243))) (let ((_let_245 (= _let_34 _let_242))) (let ((_let_246 (and _let_80 _let_79 _let_245 _let_78 _let_75 _let_73 _let_71 _let_69 _let_68 _let_60 _let_58 _let_56 _let_54 _let_53 _let_49 _let_48 _let_47 _let_46 _let_45 _let_42 _let_41))) (let ((_let_247 (ASSUME :args (_let_245)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_22)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_244)) :args ((or _let_20 (not _let_243) (not _let_244)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_246)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_247 _let_205 _let_207 _let_241) (SCOPE (TRANS _let_209 _let_208 _let_206 (SYMM (SYMM _let_247))) :args (_let_245 _let_78 _let_68 _let_204))) :args (_let_80 _let_79 _let_245 _let_78 _let_75 _let_73 _let_71 _let_69 _let_68 _let_60 _let_58 _let_56 _let_54 _let_53 _let_49 _let_48 _let_47 _let_46 _let_45 _let_42 _let_41))) :args (true _let_246)) :args ((or _let_243 _let_201 _let_200 (not _let_245) _let_199 _let_198 _let_148 _let_120 _let_197 _let_196 _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184))) _let_183 _let_182 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (tptp.one _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_245 false _let_10)) _let_181 _let_180 _let_147 _let_119 _let_179 _let_178 _let_177 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_163 _let_162 _let_157 _let_153 _let_125 :args (_let_243 false _let_80 false _let_79 false _let_245 false _let_78 false _let_75 false _let_73 false _let_71 false _let_69 false _let_68 false _let_60 false _let_58 false _let_56 false _let_54 false _let_53 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_42 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (_let_19 tptp.one QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_244 false _let_37)) :args (_let_20 false _let_243 false _let_244)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_36)) :args ((or _let_21 (not _let_35) (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_202)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_205 _let_207 _let_241 (MODUS_PONENS (AND_INTRO _let_210 _let_212 _let_217 _let_218 _let_220 _let_222 _let_232 _let_233 _let_228 _let_229 _let_151 _let_234 _let_224 _let_225 _let_231 _let_237 _let_236 _let_123) (SCOPE (TRANS _let_124 _let_239 _let_238 _let_235 _let_223 _let_221 _let_219 _let_213 _let_211) :args (_let_64 _let_77 _let_80 _let_75 _let_60 _let_53 _let_69 _let_58 _let_56 _let_42 _let_73 _let_47 _let_54 _let_45 _let_46 _let_49 _let_41 _let_71))) _let_210 _let_212 _let_214) (SCOPE (TRANS (SYMM _let_215) _let_213 _let_211 (SYMM (ASSUME :args (_let_203))) _let_209 _let_208 _let_206) :args (_let_78 _let_68 _let_204 _let_203 _let_64 _let_77 _let_79))) :args (_let_80 _let_79 _let_78 _let_77 _let_75 _let_73 _let_71 _let_69 _let_68 _let_64 _let_60 _let_58 _let_56 _let_54 _let_53 _let_49 _let_48 _let_47 _let_46 _let_45 _let_42 _let_41))) :args (true _let_202)) :args ((or _let_35 _let_201 _let_200 _let_199 (not _let_77) _let_198 _let_148 _let_120 _let_197 _let_196 (not _let_64) _let_195 _let_194 _let_193 _let_192 _let_191 _let_190 _let_189 _let_188 _let_187 _let_186 _let_185 _let_184))) _let_183 _let_182 _let_181 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (_let_14 _let_17 _let_13 QUANTIFIERS_INST_E_MATCHING _let_176)) :args _let_174)) _let_175 :args (_let_77 false _let_9)) _let_180 _let_147 _let_119 _let_179 _let_178 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_102 :args (_let_61 _let_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_103)) :args _let_101)) _let_102 :args (_let_64 false _let_10)) _let_177 _let_173 _let_172 _let_171 _let_170 _let_169 _let_168 _let_163 _let_162 _let_157 _let_153 _let_125 :args (_let_35 false _let_80 false _let_79 false _let_78 false _let_77 false _let_75 false _let_73 false _let_71 false _let_69 false _let_68 false _let_64 false _let_60 false _let_58 false _let_56 false _let_54 false _let_53 false _let_49 false _let_48 false _let_47 false _let_46 false _let_45 false _let_42 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (tptp.one _let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_40)) :args _let_39)) _let_38 :args (_let_36 false _let_37)) :args (_let_21 false _let_35 false _let_36)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_27 2)) _let_33 :args ((not _let_22) true _let_27)) :args (false false _let_20 false _let_21 true _let_22)) :args (_let_10 _let_9 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)) _let_8 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))) (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)) _let_7 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))) _let_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 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) (forall ((X0 $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.87/1.07 )
% 0.87/1.07 % SZS output end Proof for KLE009+4
% 0.87/1.07 % cvc5---1.0.5 exiting
% 0.87/1.07 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------