TSTP Solution File: KLE023+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE023+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:26:55 EDT 2023
% Result : Theorem 22.70s 22.94s
% Output : Proof 22.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE023+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : do_cvc5 %s %d
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 11:28:05 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 22.70/22.94 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.zzgr0XDytM/cvc5---1.0.5_14077.p...
% 22.70/22.94 ------- get file name : TPTP file name is KLE023+1
% 22.70/22.94 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14077.smt2...
% 22.70/22.94 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 22.70/22.94 --- Run --no-e-matching --full-saturate-quant at 5...
% 22.70/22.94 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 22.70/22.94 --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 22.70/22.94 % SZS status Theorem for KLE023+1
% 22.70/22.94 % SZS output start Proof for KLE023+1
% 22.70/22.94 (
% 22.70/22.94 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.c X1) X0))) (let ((_let_2 (tptp.multiplication X0 X2))) (=> (and (tptp.test X1) (tptp.test X2)) (=> (= (tptp.addition (tptp.multiplication X1 X0) _let_2) _let_2) (= (tptp.addition (tptp.multiplication X0 (tptp.c X2)) _let_1) _let_1))))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))))) (let ((_let_3 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_4 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_5 (forall ((A $$unsorted)) (= (tptp.multiplication tptp.zero A) tptp.zero)))) (let ((_let_6 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.zero) tptp.zero)))) (let ((_let_7 (forall ((A $$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 tptp.one A) A)))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.multiplication A tptp.one) A)))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.multiplication A (tptp.multiplication B C)) (tptp.multiplication (tptp.multiplication A B) C))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.addition A A) A)))) (let ((_let_13 (forall ((A $$unsorted)) (= (tptp.addition A tptp.zero) A)))) (let ((_let_14 (forall ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_15 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_16 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_17 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.addition _let_17 _let_16))) (let ((_let_19 (= _let_16 _let_18))) (let ((_let_20 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_22 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22))) (let ((_let_24 (= _let_21 (tptp.addition _let_23 _let_21)))) (let ((_let_25 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.zero))) (let ((_let_26 (= tptp.zero _let_25))) (let ((_let_27 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_28 (= tptp.one _let_27))) (let ((_let_29 (tptp.addition _let_23 tptp.zero))) (let ((_let_30 (= _let_23 _let_29))) (let ((_let_31 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (= tptp.zero _let_31))) (let ((_let_33 (tptp.addition tptp.one tptp.one))) (let ((_let_34 (= tptp.one _let_33))) (let ((_let_35 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_35))) (let ((_let_37 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_38 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_37))) (let ((_let_39 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23))) (let ((_let_40 (= _let_39 (tptp.multiplication _let_17 _let_22)))) (let ((_let_41 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_27) (tptp.addition (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))))) (let ((_let_42 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_29) (tptp.addition _let_39 _let_25)))) (let ((_let_43 (tptp.multiplication tptp.one tptp.one))) (let ((_let_44 (= tptp.one _let_43))) (let ((_let_45 (tptp.multiplication tptp.one _let_22))) (let ((_let_46 (= _let_22 _let_45))) (let ((_let_47 (= (tptp.multiplication _let_18 _let_45) (tptp.addition (tptp.multiplication _let_17 _let_45) (tptp.multiplication _let_16 _let_45))))) (let ((_let_48 (tptp.addition tptp.zero _let_23))) (let ((_let_49 (= _let_29 _let_48))) (let ((_let_50 (tptp.multiplication _let_20 _let_23))) (let ((_let_51 (tptp.multiplication _let_20 tptp.zero))) (let ((_let_52 (= (tptp.multiplication _let_20 _let_48) (tptp.addition _let_51 _let_50)))) (let ((_let_53 (tptp.addition tptp.one tptp.zero))) (let ((_let_54 (= (tptp.multiplication _let_53 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_35 _let_31)))) (let ((_let_55 (= (tptp.multiplication _let_33 _let_22) (tptp.addition _let_45 _let_45)))) (let ((_let_56 (tptp.addition tptp.one _let_22))) (let ((_let_57 (= _let_56 (tptp.addition _let_22 tptp.one)))) (let ((_let_58 (tptp.addition _let_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_59 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_50) _let_58))) (let ((_let_60 (= (tptp.multiplication tptp.one _let_23) (tptp.multiplication _let_35 _let_22)))) (let ((_let_61 (tptp.multiplication (tptp.addition _let_43 _let_45) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_62 (= tptp.zero (tptp.multiplication _let_61 tptp.zero)))) (let ((_let_63 (= tptp.one _let_53))) (let ((_let_64 (= tptp.zero _let_51))) (let ((_let_65 (= _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_66 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_22))) (let ((_let_67 (= tptp.zero _let_66))) (let ((_let_68 (tptp.addition _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_69 (= tptp.one _let_68))) (let ((_let_70 (= (tptp.addition _let_22 _let_68) (tptp.addition (tptp.addition _let_22 _let_22) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_71 (= (tptp.multiplication _let_61 _let_66) (tptp.multiplication (tptp.multiplication _let_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_22)))) (let ((_let_72 (= (tptp.multiplication _let_27 _let_23) (tptp.addition _let_39 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_23))))) (let ((_let_73 (= (tptp.multiplication _let_20 _let_58) (tptp.addition (tptp.multiplication _let_20 _let_50) _let_21)))) (let ((_let_74 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_56) (tptp.addition _let_37 _let_23)))) (let ((_let_75 (not _let_19))) (let ((_let_76 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_77 (not _let_76))) (let ((_let_78 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_79 (not _let_78))) (let ((_let_80 (or _let_79 _let_77 _let_75 _let_24))) (let ((_let_81 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (let ((_let_1 (tptp.multiplication (tptp.c X1) X0))) (let ((_let_2 (tptp.multiplication X0 X2))) (or (not (tptp.test X1)) (not (tptp.test X2)) (not (= _let_2 (tptp.addition (tptp.multiplication X1 X0) _let_2))) (= _let_1 (tptp.addition (tptp.multiplication X0 (tptp.c X2)) _let_1)))))))) (let ((_let_82 (not _let_80))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (or))) (let ((_let_85 (not _let_81))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_83) :args (_let_85))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_81))) (REFL :args (_let_82)) :args _let_84)) _let_83 :args (_let_82 true _let_81)))) (let ((_let_87 (REFL :args (_let_80)))) (let ((_let_88 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication A tptp.zero))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (_let_88))) (let ((_let_91 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_FMF_FMC_EXH))) (let ((_let_92 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_93 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24)))) (let ((_let_94 (and _let_93 _let_92 _let_28))) (let ((_let_95 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_96 (= _let_95 _let_94))) (let ((_let_97 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (_let_97))) (let ((_let_100 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_101 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_102 (not _let_101))) (let ((_let_103 (= _let_78 _let_102))) (let ((_let_104 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 0)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_78))) :args _let_84)) :args ((or _let_78 _let_80))) _let_86 :args (_let_78 true _let_80)))) (let ((_let_107 (not _let_95))) (let ((_let_108 (_let_102))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_96)) :args ((or _let_107 _let_94 (not _let_96)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_108)) :args _let_108) (REWRITE :args ((=> _let_102 (not _let_107)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))) (REFL :args (_let_95)) :args _let_84)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_103)) :args ((or _let_79 _let_102 (not _let_103)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args _let_91) :args (_let_104))) _let_105 :args (_let_103 false _let_104)) :args (_let_102 false _let_78 false _let_103)) :args (_let_95 true _let_101)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args _let_100) :args _let_99)) _let_98 :args (_let_96 false _let_97)) :args (_let_94 false _let_95 false _let_96)))) (let ((_let_110 (not _let_94))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 2)) :args ((or _let_28 _let_110))) _let_109 :args (_let_28 false _let_94)))) (let ((_let_112 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_113 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_114 (_let_112))) (let ((_let_115 (forall ((A $$unsorted)) (= tptp.zero (tptp.multiplication tptp.zero A))))) (let ((_let_116 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_117 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT))) (let ((_let_118 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_119 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_121 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_122 (_let_120))) (let ((_let_123 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_124 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_125 (_let_123))) (let ((_let_126 (_let_11))) (let ((_let_127 (ASSUME :args _let_126))) (let ((_let_128 (_let_8))) (let ((_let_129 (ASSUME :args _let_128))) (let ((_let_130 (tptp.one QUANTIFIERS_INST_CBQI_PROP))) (let ((_let_131 (_let_7))) (let ((_let_132 (ASSUME :args _let_131))) (let ((_let_133 (_let_15))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24))) (let ((_let_136 (= _let_65 _let_135))) (let ((_let_137 (or _let_79 _let_136))) (let ((_let_138 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_139 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_140 (_let_138))) (let ((_let_141 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_142 (= tptp.one _let_141))) (let ((_let_143 (and _let_92 _let_93 _let_142))) (let ((_let_144 (= _let_135 _let_143))) (let ((_let_145 (= _let_27 _let_141))) (let ((_let_146 (not _let_28))) (let ((_let_147 (and _let_28 _let_145))) (let ((_let_148 (ASSUME :args (_let_145)))) (let ((_let_149 (ASSUME :args (_let_28)))) (let ((_let_150 (SYMM _let_149))) (let ((_let_151 (and (= tptp.zero (tptp.multiplication _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_67 _let_69))) (let ((_let_152 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_22))) (let ((_let_153 (= _let_152 _let_151))) (let ((_let_154 (or _let_77 _let_152))) (let ((_let_155 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_153)) :args ((or (not _let_152) _let_151 (not _let_153)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_154)) :args ((or _let_77 _let_152 (not _let_154)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 1)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_76))) :args _let_84)) :args ((or _let_76 _let_80))) _let_86 :args (_let_76 true _let_80)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_139 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_22 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_140))) _let_139 :args (_let_154 false _let_138)) :args (_let_152 false _let_76 false _let_154)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_99)) _let_98 :args (_let_153 false _let_97)) :args (_let_151 false _let_152 false _let_153)))) (let ((_let_156 (not _let_151))) (let ((_let_157 (_let_14))) (let ((_let_158 (ASSUME :args _let_157))) (let ((_let_159 (and _let_19 _let_26 _let_65 _let_28 _let_30 _let_32 _let_34 _let_36 _let_38 _let_40 _let_41 _let_42 _let_44 _let_46 _let_47 _let_49 _let_52 _let_64 _let_54 _let_55 _let_57 _let_59 _let_63 _let_60 _let_62 _let_67 _let_69 _let_70 _let_71 _let_72 _let_73 _let_74))) (let ((_let_160 (APPLY_UF tptp.addition))) (let ((_let_161 (APPLY_UF tptp.multiplication))) (let ((_let_162 (REFL :args (_let_22)))) (let ((_let_163 (ASSUME :args (_let_36)))) (let ((_let_164 (SYMM _let_163))) (let ((_let_165 (CONG _let_164 _let_162 :args _let_161))) (let ((_let_166 (ASSUME :args (_let_60)))) (let ((_let_167 (SYMM _let_166))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (REFL :args (_let_23)))) (let ((_let_170 (ASSUME :args (_let_69)))) (let ((_let_171 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_172 (ASSUME :args (_let_46)))) (let ((_let_173 (SYMM _let_172))) (let ((_let_174 (ASSUME :args (_let_34)))) (let ((_let_175 (ASSUME :args (_let_55)))) (let ((_let_176 (CONG (TRANS (CONG _let_172 _let_172 :args _let_160) (SYMM _let_175) (CONG (SYMM _let_174) _let_162 :args _let_161) _let_173) _let_171 :args _let_160))) (let ((_let_177 (ASSUME :args (_let_70)))) (let ((_let_178 (SYMM _let_177))) (let ((_let_179 (CONG _let_162 _let_170 :args _let_160))) (let ((_let_180 (ASSUME :args (_let_57)))) (let ((_let_181 (SYMM _let_180))) (let ((_let_182 (ASSUME :args (_let_44)))) (let ((_let_183 (CONG (SYMM _let_182) _let_173 :args _let_160))) (let ((_let_184 (TRANS _let_183 (SYMM _let_181) _let_179 (SYMM _let_178) _let_176 (SYMM _let_170)))) (let ((_let_185 (CONG _let_184 _let_169 :args _let_161))) (let ((_let_186 (SYMM _let_184))) (let ((_let_187 (CONG (TRANS _let_150 _let_186) _let_169 :args _let_161))) (let ((_let_188 (ASSUME :args (_let_72)))) (let ((_let_189 (SYMM _let_188))) (let ((_let_190 (ASSUME :args (_let_30)))) (let ((_let_191 (SYMM _let_190))) (let ((_let_192 (ASSUME :args (_let_49)))) (let ((_let_193 (TRANS (SYMM _let_192) _let_191))) (let ((_let_194 (ASSUME :args (_let_65)))) (let ((_let_195 (SYMM _let_194))) (let ((_let_196 (SYMM _let_195))) (let ((_let_197 (REFL :args (_let_20)))) (let ((_let_198 (CONG _let_197 (SYMM _let_193) :args _let_161))) (let ((_let_199 (ASSUME :args (_let_42)))) (let ((_let_200 (ASSUME :args (_let_26)))) (let ((_let_201 (ASSUME :args (_let_62)))) (let ((_let_202 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_203 (ASSUME :args (_let_63)))) (let ((_let_204 (CONG _let_203 _let_202 :args _let_161))) (let ((_let_205 (TRANS _let_163 _let_204 (CONG (TRANS (SYMM _let_203) _let_186 _let_183) _let_202 :args _let_161) (CONG (SYMM _let_183) _let_202 :args _let_161)))) (let ((_let_206 (CONG _let_205 (REFL :args (tptp.zero)) :args _let_161))) (let ((_let_207 (ASSUME :args (_let_67)))) (let ((_let_208 (CONG (SYMM _let_205) (SYMM _let_207) :args _let_161))) (let ((_let_209 (ASSUME :args (_let_71)))) (let ((_let_210 (ASSUME :args (_let_19)))) (let ((_let_211 (CONG (TRANS (SYMM _let_210) (CONG _let_205 _let_171 :args _let_161)) _let_173 :args _let_161))) (let ((_let_212 (ASSUME :args (_let_40)))) (let ((_let_213 (ASSUME :args (_let_47)))) (let ((_let_214 (CONG (TRANS _let_201 (SYMM _let_206) (SYMM _let_208) _let_209 (SYMM _let_211) (SYMM (SYMM _let_213)) (CONG (TRANS (CONG (REFL :args (_let_17)) _let_173 :args _let_161) (SYMM _let_212)) (TRANS (CONG _let_210 (REFL :args (_let_45)) :args _let_161) _let_211 (SYMM _let_209) _let_208 _let_206 (SYMM _let_201) (SYMM (SYMM _let_200))) :args _let_160) (SYMM _let_199) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_191 :args _let_161)) (TRANS _let_198 (CONG _let_196 _let_193 :args _let_161)) :args _let_160))) (let ((_let_215 (REFL :args (_let_50)))) (let ((_let_216 (ASSUME :args (_let_64)))) (let ((_let_217 (CONG (SYMM _let_216) _let_215 :args _let_160))) (let ((_let_218 (ASSUME :args (_let_52)))) (let ((_let_219 (SYMM _let_218))) (let ((_let_220 (SYMM _let_219))) (let ((_let_221 (ASSUME :args (_let_73)))) (let ((_let_222 (ASSUME :args (_let_59)))) (let ((_let_223 (ASSUME :args (_let_54)))) (let ((_let_224 (ASSUME :args (_let_32)))) (let ((_let_225 (TRANS (CONG _let_163 (SYMM (SYMM _let_224)) :args _let_160) (SYMM _let_223) (SYMM _let_204)))) (let ((_let_226 (ASSUME :args (_let_38)))) (let ((_let_227 (SYMM _let_226))) (let ((_let_228 (ASSUME :args (_let_74)))) (let ((_let_229 (ASSUME :args (_let_41)))) (let ((_let_230 (TRANS (SYMM _let_229) (CONG _let_202 _let_150 :args _let_161) _let_227))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_159)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_163 _let_166 _let_170 _let_172 _let_174 _let_175 _let_177 _let_180 _let_182 _let_149 _let_188 _let_190 _let_199 _let_212 _let_200 _let_201 _let_203 _let_207 _let_209 _let_210 _let_213 _let_194 _let_192 _let_216 _let_218 _let_221 _let_222 _let_223 _let_224 _let_226 _let_228 _let_229) (SCOPE (TRANS (CONG _let_197 (SYMM _let_230) :args _let_161) (CONG _let_196 _let_230 :args _let_161) (CONG _let_195 (TRANS _let_226 (CONG _let_202 (TRANS _let_170 (SYMM _let_176) _let_178 (SYMM _let_179) _let_181) :args _let_161) (SYMM (SYMM _let_228)) (CONG (TRANS (TRANS _let_227 _let_163) (SYMM _let_225)) (TRANS (SYMM _let_165) _let_167 (SYMM _let_185) (SYMM _let_187) _let_188 (SYMM _let_214) (SYMM _let_217) _let_219 (SYMM _let_198)) :args _let_160) (CONG (TRANS _let_225 _let_164) _let_215 :args _let_160) (SYMM (SYMM _let_222))) :args _let_161) (SYMM (SYMM _let_221)) (CONG (TRANS (CONG _let_197 (TRANS _let_198 _let_220 _let_217 _let_214 _let_189 _let_187 _let_185 _let_168 _let_165 _let_190 _let_192) :args _let_161) _let_220 _let_217 _let_214 _let_189 _let_187 _let_185 _let_168 _let_165) (REFL :args (_let_21)) :args _let_160)) :args (_let_36 _let_60 _let_69 _let_46 _let_34 _let_55 _let_70 _let_57 _let_44 _let_28 _let_72 _let_30 _let_42 _let_40 _let_26 _let_62 _let_63 _let_67 _let_71 _let_19 _let_47 _let_65 _let_49 _let_64 _let_52 _let_73 _let_59 _let_54 _let_32 _let_38 _let_74 _let_41))) :args (_let_19 _let_26 _let_65 _let_28 _let_30 _let_32 _let_34 _let_36 _let_38 _let_40 _let_41 _let_42 _let_44 _let_46 _let_47 _let_49 _let_52 _let_64 _let_54 _let_55 _let_57 _let_59 _let_63 _let_60 _let_62 _let_67 _let_69 _let_70 _let_71 _let_72 _let_73 _let_74))) :args (true _let_159)) :args ((or _let_75 _let_24 (not _let_26) (not _let_65) _let_146 (not _let_30) (not _let_32) (not _let_34) (not _let_36) (not _let_38) (not _let_40) (not _let_41) (not _let_42) (not _let_44) (not _let_46) (not _let_47) (not _let_49) (not _let_52) (not _let_54) (not _let_55) (not _let_57) (not _let_59) (not _let_60) (not _let_62) (not _let_63) (not _let_64) (not _let_67) (not _let_69) (not _let_70) (not _let_71) (not _let_72) (not _let_73) (not _let_74)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_128)) _let_129 :args (_let_74 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_20 _let_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_128)) _let_129 :args (_let_73 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_131)) _let_132 :args (_let_72 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (_let_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_126)) _let_127 :args (_let_71 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_158 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_22 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_157)) _let_158 :args (_let_70 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_151 2)) :args ((or _let_69 _let_156))) _let_155 :args (_let_69 false _let_151)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_151 1)) :args ((or _let_67 _let_156))) _let_155 :args (_let_67 false _let_151)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_136)) :args ((or _let_65 (not _let_135) (not _let_136)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_144)) :args ((or _let_135 (not _let_143) (not _let_144)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_143)) :args ((or (not _let_93) (not _let_92) _let_143 (not _let_142)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 0)) :args ((or _let_93 _let_110))) _let_109 :args (_let_93 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_94 1)) :args ((or _let_92 _let_110))) _let_109 :args (_let_92 false _let_94)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_147)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_148 _let_149) (SCOPE (TRANS (SYMM _let_150) (SYMM (SYMM _let_148))) :args (_let_145 _let_28))) :args (_let_28 _let_145))) :args (true _let_147)) :args ((or _let_146 _let_142 (not _let_145)))) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args _let_100) :args _let_133)) _let_134 :args (_let_145 false _let_15)) :args (_let_142 false _let_28 false _let_145)) :args (_let_143 false _let_93 false _let_92 false _let_142)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_98 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_99)) _let_98 :args (_let_144 false _let_97)) :args (_let_135 false _let_143 false _let_144)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_137)) :args ((or _let_79 _let_136 (not _let_137)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_139 :args _let_100) :args _let_140))) _let_139 :args (_let_137 false _let_138)) :args (_let_136 false _let_78 false _let_137)) :args (_let_65 false _let_135 false _let_136)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_90)) _let_89 :args (_let_64 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args _let_130) :args _let_114)) _let_113 :args (_let_63 false _let_112)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (_let_61 QUANTIFIERS_INST_CBQI_PROP)) :args _let_90)) _let_89 :args (_let_62 false _let_88)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_126)) _let_127 :args (_let_60 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_50 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_133)) _let_134 :args (_let_59 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (tptp.one _let_22 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_133)) _let_134 :args (_let_57 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.one tptp.one _let_22 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_131)) _let_132 :args (_let_55 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (tptp.one tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_FMF_FMC_EXH)) :args _let_131)) _let_132 :args (_let_54 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (_let_20 tptp.zero _let_23 QUANTIFIERS_INST_CBQI_PROP)) :args _let_128)) _let_129 :args (_let_52 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_23 tptp.zero QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_133)) _let_134 :args (_let_49 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_132 :args (_let_17 _let_16 _let_45 QUANTIFIERS_INST_CBQI_PROP)) :args _let_131)) _let_132 :args (_let_47 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_22 QUANTIFIERS_INST_CBQI_PROP)) :args _let_122)) _let_121 :args (_let_46 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_130) :args _let_125)) _let_124 :args (_let_44 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_23 tptp.zero QUANTIFIERS_INST_CBQI_PROP)) :args _let_128)) _let_129 :args (_let_42 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_129 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_128)) _let_129 :args (_let_41 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_127 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_22 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_126)) _let_127 :args (_let_40 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_124 :args _let_117) :args _let_125)) _let_124 :args (_let_38 false _let_123)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args _let_117) :args _let_122)) _let_121 :args (_let_36 false _let_120)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (tptp.one QUANTIFIERS_INST_CBQI_CONFLICT)) :args (_let_118))) _let_119 :args (_let_34 false _let_118)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args _let_117) :args (_let_115))) _let_116 :args (_let_32 false _let_115)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (_let_23 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_114)) _let_113 :args (_let_30 false _let_112)) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_91) :args _let_90)) _let_89 :args (_let_26 false _let_88)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_80 3)) _let_86 :args ((not _let_24) true _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_80 2)) (CONG _let_87 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_19))) :args _let_84)) :args ((or _let_19 _let_80))) _let_86 :args (_let_19 true _let_80)) :args (false false _let_74 false _let_73 false _let_72 false _let_71 false _let_70 false _let_69 false _let_67 false _let_65 false _let_64 false _let_63 false _let_62 false _let_60 false _let_59 false _let_57 false _let_55 false _let_54 false _let_52 false _let_49 false _let_47 false _let_46 false _let_44 false _let_42 false _let_41 false _let_40 false _let_38 false _let_36 false _let_34 false _let_32 false _let_30 false _let_28 false _let_26 true _let_24 false _let_19)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))) _let_4 _let_3 _let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 22.70/22.94 )
% 22.70/22.94 % SZS output end Proof for KLE023+1
% 22.70/22.94 % cvc5---1.0.5 exiting
% 22.70/22.95 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------