TSTP Solution File: KLE034+2 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE034+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 05:27:00 EDT 2023
% Result : Theorem 28.49s 28.89s
% Output : Proof 28.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE034+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : do_cvc5 %s %d
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 11:48:26 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.19/0.46 %----Proving TF0_NAR, FOF, or CNF
% 28.49/28.89 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.CIAj1kfYNm/cvc5---1.0.5_9322.p...
% 28.49/28.89 ------- get file name : TPTP file name is KLE034+2
% 28.49/28.89 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_9322.smt2...
% 28.49/28.89 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 28.49/28.89 --- Run --no-e-matching --full-saturate-quant at 5...
% 28.49/28.89 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 28.49/28.89 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 28.49/28.89 --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 28.49/28.89 % SZS status Theorem for KLE034+2
% 28.49/28.89 % SZS output start Proof for KLE034+2
% 28.49/28.89 (
% 28.49/28.89 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (let ((_let_1 (tptp.c X4))) (let ((_let_2 (tptp.multiplication X2 X0))) (=> (and (tptp.test X3) (tptp.test X2) (tptp.test X4) (tptp.leq (tptp.multiplication _let_2 (tptp.c X3)) tptp.zero) (tptp.leq (tptp.multiplication (tptp.multiplication X3 X1) _let_1) tptp.zero)) (tptp.leq (tptp.multiplication (tptp.multiplication _let_2 X1) _let_1) tptp.zero)))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1)) (= (tptp.c (tptp.multiplication X0 X1)) (tptp.addition (tptp.c X0) (tptp.c X1))))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_4 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_5 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_7 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_8 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication (tptp.addition A B) C) (tptp.addition (tptp.multiplication A C) (tptp.multiplication B C)))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.addition B C)) (tptp.addition (tptp.multiplication A B) (tptp.multiplication A C)))))) (let ((_let_11 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.one A) A)))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_13 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_14 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_15 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_16 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_17 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_18 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17))) (let ((_let_19 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.multiplication _let_19 _let_17))) (let ((_let_21 (= _let_20 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_18)))) (let ((_let_22 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.multiplication _let_22 _let_18))) (let ((_let_24 (tptp.multiplication (tptp.multiplication _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_17))) (let ((_let_25 (= _let_24 _let_23))) (let ((_let_26 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_27 (tptp.multiplication _let_22 _let_26))) (let ((_let_28 (tptp.addition _let_27 tptp.zero))) (let ((_let_29 (= tptp.zero _let_28))) (let ((_let_30 (= tptp.zero (tptp.addition _let_20 tptp.zero)))) (let ((_let_31 (tptp.addition _let_24 tptp.zero))) (let ((_let_32 (= tptp.zero _let_31))) (let ((_let_33 (= tptp.zero (tptp.multiplication tptp.zero _let_17)))) (let ((_let_34 (tptp.addition _let_17 tptp.zero))) (let ((_let_35 (= _let_17 _let_34))) (let ((_let_36 (= _let_24 _let_31))) (let ((_let_37 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_37))) (let ((_let_39 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_40 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_39))) (let ((_let_41 (= _let_27 _let_28))) (let ((_let_42 (tptp.multiplication _let_19 tptp.zero))) (let ((_let_43 (= (tptp.multiplication _let_19 _let_34) (tptp.addition _let_20 _let_42)))) (let ((_let_44 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_45 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_37) (tptp.addition _let_44 _let_44)))) (let ((_let_46 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_47 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_39) (tptp.addition _let_46 _let_46)))) (let ((_let_48 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_49 (= tptp.zero _let_48))) (let ((_let_50 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_51 (= tptp.zero _let_50))) (let ((_let_52 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_53 (= tptp.one _let_52))) (let ((_let_54 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_55 (= tptp.zero _let_54))) (let ((_let_56 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_57 (= tptp.one _let_56))) (let ((_let_58 (tptp.addition _let_26 _let_44))) (let ((_let_59 (= _let_58 (tptp.addition _let_44 _let_26)))) (let ((_let_60 (= (tptp.addition _let_17 _let_46) (tptp.addition _let_46 _let_17)))) (let ((_let_61 (= tptp.zero _let_42))) (let ((_let_62 (= _let_44 (tptp.addition _let_44 tptp.zero)))) (let ((_let_63 (= tptp.zero (tptp.multiplication tptp.zero _let_24)))) (let ((_let_64 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 tptp.one)))) (let ((_let_65 (tptp.multiplication tptp.one _let_18))) (let ((_let_66 (= _let_18 _let_65))) (let ((_let_67 (tptp.multiplication tptp.zero _let_22))) (let ((_let_68 (= tptp.zero _let_67))) (let ((_let_69 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_65) (tptp.multiplication (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.one) _let_18)))) (let ((_let_70 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_52) (tptp.addition _let_44 _let_48)))) (let ((_let_71 (= (tptp.multiplication _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.addition _let_44 _let_50)))) (let ((_let_72 (tptp.multiplication _let_26 _let_18))) (let ((_let_73 (= (tptp.multiplication _let_58 _let_18) (tptp.addition _let_72 (tptp.multiplication _let_44 _let_18))))) (let ((_let_74 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_75 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_74))) (let ((_let_76 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_56) (tptp.addition _let_46 _let_54)))) (let ((_let_77 (= (tptp.multiplication tptp.zero _let_23) (tptp.multiplication _let_67 _let_18)))) (let ((_let_78 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_79 (= _let_72 (tptp.addition _let_72 tptp.zero)))) (let ((_let_80 (= _let_46 (tptp.addition _let_46 tptp.zero)))) (let ((_let_81 (= (tptp.c _let_54) (tptp.addition _let_17 _let_74)))) (let ((_let_82 (= _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11))) (let ((_let_83 (= _let_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10))) (let ((_let_84 (= (tptp.multiplication _let_22 _let_72) (tptp.multiplication _let_27 _let_18)))) (let ((_let_85 (_let_13))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_88 (tptp.leq _let_27 tptp.zero))) (let ((_let_89 (= _let_88 _let_29))) (let ((_let_90 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_91 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (_let_90))) (let ((_let_93 ((tptp.leq A B)))) (let ((_let_94 (tptp.leq _let_24 tptp.zero))) (let ((_let_95 (tptp.leq _let_20 tptp.zero))) (let ((_let_96 (not _let_95))) (let ((_let_97 (not _let_88))) (let ((_let_98 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_99 (not _let_98))) (let ((_let_100 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 (not (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_99 _let_97 _let_96 _let_94))) (let ((_let_103 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted) (X3 $$unsorted) (X4 $$unsorted)) (let ((_let_1 (tptp.c X4))) (let ((_let_2 (tptp.multiplication X2 X0))) (or (not (tptp.test X3)) (not (tptp.test X2)) (not (tptp.test X4)) (not (tptp.leq (tptp.multiplication _let_2 (tptp.c X3)) tptp.zero)) (not (tptp.leq (tptp.multiplication (tptp.multiplication X3 X1) _let_1) tptp.zero)) (tptp.leq (tptp.multiplication (tptp.multiplication _let_2 X1) _let_1) tptp.zero))))))) (let ((_let_104 (not _let_102))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (or))) (let ((_let_107 (not _let_103))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_105) :args (_let_107))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_103))) (REFL :args (_let_104)) :args _let_106)) _let_105 :args (_let_104 true _let_103)))) (let ((_let_109 (REFL :args (_let_102)))) (let ((_let_110 (= _let_95 _let_30))) (let ((_let_111 (= _let_94 _let_32))) (let ((_let_112 (not _let_32))) (let ((_let_113 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_113))) (let ((_let_116 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (_let_24 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_120 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_124 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_125 (_let_10))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_128 (and _let_49 _let_51 _let_53))) (let ((_let_129 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_130 (= _let_129 _let_128))) (let ((_let_131 (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_132 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_133 (_let_131))) (let ((_let_134 ((tptp.complement X1 X0)))) (let ((_let_135 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_136 (not _let_135))) (let ((_let_137 (= _let_100 _let_136))) (let ((_let_138 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (_let_138))) (let ((_let_141 ((tptp.test X0)))) (let ((_let_142 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_102 0)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_100))) :args _let_106)) :args ((or _let_100 _let_102))) _let_108 :args (_let_100 true _let_102)))) (let ((_let_143 (not _let_129))) (let ((_let_144 (_let_136))) (let ((_let_145 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_130)) :args ((or _let_143 _let_128 (not _let_130)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_144)) :args _let_144) (REWRITE :args ((=> _let_136 (not _let_143)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_136) _let_135))) (REFL :args (_let_129)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_137)) :args ((or _let_101 _let_136 (not _let_137)))) _let_142 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_140)) _let_139 :args (_let_137 false _let_138)) :args (_let_136 false _let_100 false _let_137)) :args (_let_129 true _let_135)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_133)) _let_132 :args (_let_130 false _let_131)) :args (_let_128 false _let_129 false _let_130)))) (let ((_let_146 (not _let_128))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 0)) :args ((or _let_49 _let_146))) _let_145 :args (_let_49 false _let_128)))) (let ((_let_148 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 1)) :args ((or _let_51 _let_146))) _let_145 :args (_let_51 false _let_128)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_128 2)) :args ((or _let_53 _let_146))) _let_145 :args (_let_53 false _let_128)))) (let ((_let_150 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)))) (let ((_let_151 (and _let_55 _let_150 _let_57))) (let ((_let_152 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_153 (= _let_152 _let_151))) (let ((_let_154 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_155 (not _let_154))) (let ((_let_156 (= _let_98 _let_155))) (let ((_let_157 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_102 2)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) :args _let_106)) :args ((or _let_98 _let_102))) _let_108 :args (_let_98 true _let_102)))) (let ((_let_158 (not _let_152))) (let ((_let_159 (_let_155))) (let ((_let_160 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_159)) :args _let_159) (REWRITE :args ((=> _let_155 (not _let_158)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_155) _let_154))) (REFL :args (_let_152)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_156)) :args ((or _let_99 _let_155 (not _let_156)))) _let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_139 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_141)) :args _let_140)) _let_139 :args (_let_156 false _let_138)) :args (_let_155 false _let_98 false _let_156)) :args (_let_152 true _let_154)))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_153)) :args ((or _let_158 _let_151 (not _let_153)))) _let_160 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_134)) :args _let_133)) _let_132 :args (_let_153 false _let_131)) :args (_let_151 false _let_152 false _let_153)))) (let ((_let_162 (not _let_151))) (let ((_let_163 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_151 0)) :args ((or _let_55 _let_162))) _let_161 :args (_let_55 false _let_151)))) (let ((_let_164 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_151 2)) :args ((or _let_57 _let_162))) _let_161 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false _let_211)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_208)) :args ((or (not _let_186) _let_82 (not _let_208)))) _let_200 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_209)) :args ((or _let_99 _let_208 (not _let_209)))) _let_157 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_181 :args _let_207) :args _let_182))) _let_181 :args (_let_209 false _let_180)) :args (_let_208 false _let_98 false _let_209)) :args (_let_82 false _let_186 false _let_208)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_204)) :args ((or _let_99 _let_178 _let_81 (not _let_204)))) _let_157 _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_206 :args _let_207) :args (_let_205))) _let_206 :args (_let_204 false _let_205)) :args (_let_81 false _let_98 false _let_177 false _let_204)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_46 QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_80 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_72 QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_79 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args _let_123) :args _let_173)) _let_172 :args (_let_78 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.zero _let_22 _let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_85)) _let_86 :args (_let_77 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 QUANTIFIERS_INST_CBQI_PROP)) :args _let_125)) _let_126 :args (_let_76 false _let_10)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_176)) :args ((or _let_158 _let_75 (not _let_176)))) _let_160 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_179)) :args ((or _let_178 _let_176 (not _let_179)))) _let_203 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_181 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X0 X1)))) :args _let_182)) _let_181 :args (_let_179 false _let_180)) :args (_let_176 false _let_177 false _let_179)) :args (_let_75 false _let_152 false _let_176)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (_let_26 _let_44 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_174)) _let_175 :args (_let_73 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_175 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A C) (tptp.multiplication B C))))) :args _let_174)) _let_175 :args (_let_71 false _let_9)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 QUANTIFIERS_INST_E_MATCHING ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) :args _let_125)) _let_126 :args (_let_70 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.one _let_18 QUANTIFIERS_INST_E_MATCHING ((tptp.multiplication A (tptp.multiplication B C))))) :args _let_85)) _let_86 :args (_let_69 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_115)) _let_114 :args (_let_68 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_172 :args (_let_18 QUANTIFIERS_INST_CBQI_PROP)) :args _let_173)) _let_172 :args (_let_66 false _let_171)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args _let_124) :args (_let_169))) _let_170 :args (_let_64 false _let_169)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args _let_119) :args _let_115)) _let_114 :args (_let_63 false _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_44 QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_62 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_19 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_167))) _let_168 :args (_let_61 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_17 _let_46 QUANTIFIERS_INST_CBQI_PROP)) :args _let_165)) _let_166 :args (_let_60 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_166 :args (_let_26 _let_44 QUANTIFIERS_INST_CBQI_PROP)) :args _let_165)) _let_166 :args (_let_59 false _let_16)) _let_164 _let_163 _let_149 _let_148 _let_147 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_47 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_45 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_19 _let_17 tptp.zero QUANTIFIERS_INST_E_MATCHING _let_127)) :args _let_125)) _let_126 :args (_let_43 false _let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_27 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_118)) _let_117 :args (_let_41 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_124) :args _let_122)) _let_121 :args (_let_40 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_123) :args _let_122)) _let_121 :args (_let_38 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args _let_119) :args _let_118)) _let_117 :args (_let_36 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (_let_17 QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_35 false _let_116)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_17 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_115)) _let_114 :args (_let_33 false _let_113)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_111)) :args ((or _let_94 _let_112 (not _let_111)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_102 5)) _let_108 :args ((not _let_94) true _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_24 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_111 false _let_90)) :args (_let_112 true _let_94 false _let_111)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_110)) :args ((or _let_96 _let_30 (not _let_110)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_102 4)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_95))) :args _let_106)) :args ((or _let_95 _let_102))) _let_108 :args (_let_95 true _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_20 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_110 false _let_90)) :args (_let_30 false _let_95 false _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_89)) :args ((or _let_97 _let_29 (not _let_89)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_102 3)) (CONG _let_109 (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_88))) :args _let_106)) :args ((or _let_88 _let_102))) _let_108 :args (_let_88 true _let_102)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (_let_27 tptp.zero QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_93)) :args _let_92)) _let_91 :args (_let_89 false _let_90)) :args (_let_29 false _let_88 false _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85))) _let_86 :args (_let_25 false _let_13)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85))) _let_86 :args (_let_21 false _let_13)) :args (false false _let_84 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_77 false _let_76 false _let_75 false _let_73 false _let_71 false _let_70 false _let_69 false _let_68 false _let_66 false _let_64 false _let_63 false _let_62 false _let_61 false _let_60 false _let_59 false _let_57 false _let_55 false _let_53 false _let_51 false _let_49 false _let_47 false _let_45 false _let_43 false _let_41 false _let_40 false _let_38 false _let_36 false _let_35 false _let_33 true _let_32 false _let_30 false _let_29 false _let_25 false _let_21)) :args (_let_16 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))) _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 (forall ((X0 $$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))))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 28.49/28.90 )
% 28.49/28.90 % SZS output end Proof for KLE034+2
% 28.49/28.90 % cvc5---1.0.5 exiting
% 28.49/28.90 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------