TSTP Solution File: KLE011+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE011+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n020.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 05:26:49 EDT 2023
% Result : Theorem 2.62s 2.81s
% Output : Proof 2.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE011+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n020.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 11:29:13 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 2.62/2.81 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.IYUxrbmoGc/cvc5---1.0.5_8814.p...
% 2.62/2.81 ------- get file name : TPTP file name is KLE011+1
% 2.62/2.81 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_8814.smt2...
% 2.62/2.81 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 2.62/2.81 % SZS status Theorem for KLE011+1
% 2.62/2.81 % SZS output start Proof for KLE011+1
% 2.62/2.81 (
% 2.62/2.81 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (=> (and (tptp.test X1) (tptp.test X0)) (= tptp.one (tptp.addition (tptp.addition (tptp.multiplication (tptp.addition X1 _let_1) X0) (tptp.multiplication (tptp.addition X0 _let_2) X1)) (tptp.multiplication _let_2 _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.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_17 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (tptp.multiplication _let_17 _let_16))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_20 (tptp.multiplication _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16))) (let ((_let_22 (tptp.multiplication _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_23 (tptp.addition (tptp.addition _let_22 _let_20) _let_18))) (let ((_let_24 (= tptp.one _let_23))) (let ((_let_25 (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_26 (= _let_19 _let_25))) (let ((_let_27 (tptp.addition _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (= _let_21 _let_27))) (let ((_let_29 (tptp.addition _let_20 _let_18))) (let ((_let_30 (= _let_23 (tptp.addition _let_22 _let_29)))) (let ((_let_31 (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_33 (tptp.addition _let_32 _let_31))) (let ((_let_34 (= _let_20 _let_33))) (let ((_let_35 (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_36 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_37 (tptp.addition _let_36 _let_35))) (let ((_let_38 (= _let_22 _let_37))) (let ((_let_39 (= (tptp.addition _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21)))) (let ((_let_40 (tptp.addition _let_31 _let_32))) (let ((_let_41 (= _let_33 _let_40))) (let ((_let_42 (= _let_37 (tptp.addition _let_35 _let_36)))) (let ((_let_43 (tptp.addition _let_31 _let_18))) (let ((_let_44 (tptp.addition _let_32 _let_43))) (let ((_let_45 (= _let_44 (tptp.addition _let_33 _let_18)))) (let ((_let_46 (tptp.addition _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_47 (= (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_46)))) (let ((_let_48 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_49 (= tptp.one _let_48))) (let ((_let_50 (= _let_46 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17)))) (let ((_let_51 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (= _let_48 _let_51))) (let ((_let_53 (tptp.addition _let_22 _let_32))) (let ((_let_54 (tptp.addition _let_53 _let_43))) (let ((_let_55 (= (tptp.addition _let_22 _let_44) _let_54))) (let ((_let_56 (tptp.multiplication _let_18 _let_19))) (let ((_let_57 (tptp.multiplication _let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_58 (tptp.multiplication _let_18 _let_20))) (let ((_let_59 (= _let_58 _let_57))) (let ((_let_60 (tptp.multiplication _let_22 _let_17))) (let ((_let_61 (= (tptp.multiplication _let_22 _let_31) (tptp.multiplication _let_60 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_62 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19))) (let ((_let_63 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20) (tptp.multiplication _let_62 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_64 (= _let_58 (tptp.multiplication _let_17 (tptp.multiplication _let_16 _let_20))))) (let ((_let_65 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32))) (let ((_let_66 (tptp.multiplication _let_22 _let_32))) (let ((_let_67 (= _let_66 (tptp.multiplication _let_21 _let_65)))) (let ((_let_68 (tptp.multiplication _let_22 _let_19))) (let ((_let_69 (= _let_68 (tptp.multiplication _let_21 _let_62)))) (let ((_let_70 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31))) (let ((_let_71 (tptp.addition _let_70 _let_65))) (let ((_let_72 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_40) _let_71))) (let ((_let_73 (= _let_43 (tptp.multiplication _let_17 _let_21)))) (let ((_let_74 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17)))) (let ((_let_75 (= tptp.one _let_25))) (let ((_let_76 (= tptp.zero (tptp.multiplication _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_77 (= tptp.one _let_27))) (let ((_let_78 (= _let_71 (tptp.addition _let_65 _let_70)))) (let ((_let_79 (= _let_54 (tptp.addition _let_43 _let_53)))) (let ((_let_80 (= (tptp.multiplication _let_58 _let_57) (tptp.multiplication (tptp.multiplication _let_58 _let_56) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_81 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one)))) (let ((_let_82 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 tptp.one)))) (let ((_let_83 (= _let_18 (tptp.multiplication _let_18 tptp.one)))) (let ((_let_84 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_85 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_86 (= (tptp.multiplication _let_22 _let_51) (tptp.addition (tptp.multiplication _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7) (tptp.multiplication _let_22 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_87 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21))) (let ((_let_88 (tptp.addition _let_21 _let_21))) (let ((_let_89 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_88) (tptp.addition _let_87 _let_87)))) (let ((_let_90 (= (tptp.multiplication (tptp.addition _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_20 _let_32)))) (let ((_let_91 (= (tptp.multiplication (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_32 _let_20)))) (let ((_let_92 (tptp.multiplication _let_68 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_93 (= (tptp.multiplication (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_68) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_32 _let_92)))) (let ((_let_94 (= tptp.zero (tptp.multiplication _let_17 tptp.zero)))) (let ((_let_95 (= tptp.zero (tptp.multiplication _let_60 tptp.zero)))) (let ((_let_96 (= tptp.zero (tptp.multiplication tptp.zero _let_18)))) (let ((_let_97 (= _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_98 (= _let_66 (tptp.addition _let_66 tptp.zero)))) (let ((_let_99 (= _let_21 _let_88))) (let ((_let_100 (tptp.addition _let_31 _let_31))) (let ((_let_101 (= _let_31 _let_100))) (let ((_let_102 (= _let_17 (tptp.multiplication _let_17 tptp.one)))) (let ((_let_103 (= (tptp.addition _let_32 _let_100) (tptp.addition _let_33 _let_31)))) (let ((_let_104 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_43) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_31) _let_18)))) (let ((_let_105 (tptp.addition _let_92 _let_32))) (let ((_let_106 (= (tptp.addition _let_31 _let_105) (tptp.addition (tptp.addition _let_31 _let_92) _let_32)))) (let ((_let_107 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_108 (= (tptp.addition _let_107 _let_105) (tptp.addition (tptp.addition _let_107 _let_92) _let_32)))) (let ((_let_109 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_110 (not _let_109))) (let ((_let_111 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_112 (not _let_111))) (let ((_let_113 (or _let_112 _let_110 _let_24))) (let ((_let_114 (not _let_24))) (let ((_let_115 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c X1))) (let ((_let_2 (tptp.c X0))) (or (not (tptp.test X1)) (not (tptp.test X0)) (= tptp.one (tptp.addition (tptp.addition (tptp.multiplication (tptp.addition X1 _let_1) X0) (tptp.multiplication (tptp.addition X0 _let_2) X1)) (tptp.multiplication _let_2 _let_1))))))))) (let ((_let_116 (not _let_113))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (or))) (let ((_let_119 (not _let_115))) (let ((_let_120 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_117) :args (_let_119))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_115))) (REFL :args (_let_116)) :args _let_118)) _let_117 :args (_let_116 true _let_115)))) (let ((_let_121 (_let_15))) (let ((_let_122 (ASSUME :args _let_121))) (let ((_let_123 ((tptp.addition A B)))) (let ((_let_124 (_let_14))) (let ((_let_125 (ASSUME :args _let_124))) (let ((_let_126 ((tptp.addition (tptp.addition A B) C)))) (let ((_let_127 (_let_7))) (let ((_let_128 (ASSUME :args _let_127))) (let ((_let_129 ((tptp.multiplication (tptp.addition A B) C)))) (let ((_let_130 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_131 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)))) (let ((_let_132 (and _let_131 _let_130 _let_49))) (let ((_let_133 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_134 (= _let_133 _let_132))) (let ((_let_135 (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_136 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_137 (_let_135))) (let ((_let_138 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_139 (not _let_138))) (let ((_let_140 (= _let_111 _let_139))) (let ((_let_141 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_142 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_143 (REFL :args (_let_113)))) (let ((_let_144 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 0)) (CONG _let_143 (MACRO_SR_PRED_INTRO :args ((= (not _let_112) _let_111))) :args _let_118)) :args ((or _let_111 _let_113))) _let_120 :args (_let_111 true _let_113)))) (let ((_let_145 (not _let_133))) (let ((_let_146 (_let_139))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_134)) :args ((or _let_145 _let_132 (not _let_134)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_146)) :args _let_146) (REWRITE :args ((=> _let_139 (not _let_145)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_139) _let_138))) (REFL :args (_let_133)) :args _let_118)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_140)) :args ((or _let_112 _let_139 (not _let_140)))) _let_144 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_142 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.test X0)))) :args (_let_141))) _let_142 :args (_let_140 false _let_141)) :args (_let_139 false _let_111 false _let_140)) :args (_let_133 true _let_138)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_136 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.complement X1 X0)))) :args _let_137)) _let_136 :args (_let_134 false _let_135)) :args (_let_132 false _let_133 false _let_134)))) (let ((_let_148 (not _let_132))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_132 2)) :args ((or _let_49 _let_148))) _let_147 :args (_let_49 false _let_132)))) (let ((_let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_52 false _let_15)))) (let ((_let_151 ((tptp.addition A (tptp.addition B C))))) (let ((_let_152 (_let_11))) (let ((_let_153 (ASSUME :args _let_152))) (let ((_let_154 ((tptp.multiplication A (tptp.multiplication B C))))) (let ((_let_155 ((tptp.multiplication (tptp.multiplication A B) C)))) (let ((_let_156 (_let_8))) (let ((_let_157 (ASSUME :args _let_156))) (let ((_let_158 ((tptp.multiplication A (tptp.addition B C))))) (let ((_let_159 ((tptp.addition (tptp.multiplication A B) (tptp.multiplication A C))))) (let ((_let_160 (and (= tptp.zero (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) _let_74 _let_75))) (let ((_let_161 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17))) (let ((_let_162 (= _let_161 _let_160))) (let ((_let_163 ((tptp.multiplication X0 X1)))) (let ((_let_164 (or _let_110 _let_161))) (let ((_let_165 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_166 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_167 (_let_165))) (let ((_let_168 ((tptp.complement X0 X1)))) (let ((_let_169 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_162)) :args ((or _let_160 (not _let_161) (not _let_162)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_164)) :args ((or _let_110 _let_161 (not _let_164)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_113 1)) (CONG _let_143 (MACRO_SR_PRED_INTRO :args ((= (not _let_110) _let_109))) :args _let_118)) :args ((or _let_109 _let_113))) _let_120 :args (_let_109 true _let_113)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_166 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_168)) 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_let_123)) :args _let_121)) _let_122 :args (_let_78 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 2)) :args ((or _let_77 _let_176))) _let_175 :args (_let_77 false _let_171)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_171 0)) :args ((or _let_76 _let_176))) _let_175 :args (_let_76 false _let_171)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_160 2)) :args ((or _let_75 _let_170))) _let_169 :args (_let_75 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_160 1)) :args ((or _let_74 _let_170))) _let_169 :args (_let_74 false _let_160)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_157 :args (_let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_E_MATCHING _let_159)) :args _let_156))) _let_157 :args (_let_73 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_157 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31 _let_32 QUANTIFIERS_INST_E_MATCHING _let_158)) :args _let_156)) _let_157 :args (_let_72 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_152))) _let_153 :args (_let_69 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_32 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_152))) _let_153 :args (_let_67 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_17 _let_16 _let_20 QUANTIFIERS_INST_E_MATCHING _let_155)) :args _let_152))) _let_153 :args (_let_64 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_154)) :args _let_152)) _let_153 :args (_let_63 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_22 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_154)) :args _let_152)) _let_153 :args (_let_61 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_153 :args (_let_18 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_154)) :args _let_152)) _let_153 :args (_let_59 false _let_11)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_43 _let_32 _let_22 QUANTIFIERS_INST_E_MATCHING _let_151)) :args _let_124)) _let_125 :args (_let_55 false _let_14)) _let_150 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121))) _let_122 :args (_let_50 false _let_15)) _let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_125 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124))) _let_125 :args (_let_47 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_18 _let_31 _let_32 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124)) _let_125 :args (_let_45 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_36 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_42 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (_let_32 _let_31 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_41 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121))) _let_122 :args (_let_39 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_127)) _let_128 :args (_let_38 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_128 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_129)) :args _let_127)) _let_128 :args (_let_34 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_125 :args (_let_18 _let_20 _let_22 QUANTIFIERS_INST_E_MATCHING _let_126)) :args _let_124))) _let_125 :args (_let_30 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_28 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_122 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_123)) :args _let_121)) _let_122 :args (_let_26 false _let_15)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_113 2)) _let_120 :args (_let_114 true _let_113)) :args (false false _let_108 false _let_106 false _let_104 false _let_103 false _let_102 false _let_101 false _let_99 false _let_98 false _let_97 false _let_96 false _let_95 false _let_94 false _let_93 false _let_91 false _let_90 false _let_89 false _let_86 false _let_85 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_74 false _let_73 false _let_72 false _let_69 false _let_67 false _let_64 false _let_63 false _let_61 false _let_59 false _let_55 false _let_52 false _let_50 false _let_49 false _let_47 false _let_45 false _let_42 false _let_41 false _let_39 false _let_38 false _let_34 false _let_30 false _let_28 false _let_26 true _let_24)) :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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 2.62/2.82 )
% 2.62/2.82 % SZS output end Proof for KLE011+1
% 2.62/2.82 % cvc5---1.0.5 exiting
% 2.62/2.82 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------