TSTP Solution File: KLE017+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE017+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n031.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 05:26:52 EDT 2023
% Result : Theorem 12.71s 12.86s
% Output : Proof 12.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE017+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n031.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Aug 29 11:54:56 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.22/0.49 %----Proving TF0_NAR, FOF, or CNF
% 12.71/12.86 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.tbZXgH8E8N/cvc5---1.0.5_11191.p...
% 12.71/12.86 ------- get file name : TPTP file name is KLE017+1
% 12.71/12.86 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_11191.smt2...
% 12.71/12.86 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 12.71/12.86 --- Run --no-e-matching --full-saturate-quant at 5...
% 12.71/12.86 % SZS status Theorem for KLE017+1
% 12.71/12.86 % SZS output start Proof for KLE017+1
% 12.71/12.86 (
% 12.71/12.86 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (=> (and (tptp.test X0) (tptp.test X1) (tptp.test X2)) (= (tptp.leq X2 (tptp.multiplication X0 X1)) (and (tptp.leq X2 X0) (tptp.leq X2 X1)))))))) (let ((_let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= (tptp.multiplication X0 X1) tptp.zero) (= (tptp.multiplication X1 X0) tptp.zero) (= (tptp.addition X0 X1) tptp.one)))))) (let ((_let_3 (forall ((X0 $$unsorted)) (= (tptp.test X0) (exists ((X1 $$unsorted)) (tptp.complement X1 X0)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= (tptp.addition A B) B))))) (let ((_let_5 (forall ((A $$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.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_17 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (= _let_17 _let_16))) (let ((_let_19 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_19))) (let ((_let_21 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 tptp.one)))) (let ((_let_22 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_23 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_24 (= _let_23 _let_22))) (let ((_let_25 (= tptp.one _let_22))) (let ((_let_26 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26))) (let ((_let_27 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_28 (= _let_27 _let_26))) (let ((_let_29 (= tptp.one _let_26))) (let ((_let_30 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 _let_19) (tptp.addition _let_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_31 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_32 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_31))) (let ((_let_33 (= _let_31 _let_32))) (let ((_let_34 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_16))) (let ((_let_35 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_35))) (let ((_let_37 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_38 (= _let_37 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_39 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_40 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_41 (= _let_40 _let_39))) (let ((_let_42 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 _let_35) (tptp.addition _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_43 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27))) (let ((_let_44 (= tptp.zero _let_43))) (let ((_let_45 (= tptp.one _let_40))) (let ((_let_46 (= (tptp.addition _let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_32))) (let ((_let_47 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_48 (= _let_47 (tptp.addition _let_47 tptp.zero)))) (let ((_let_49 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_37) (tptp.addition _let_47 _let_43)))) (let ((_let_50 (= (tptp.multiplication _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_31 _let_47)))) (let ((_let_51 (_let_15))) (let ((_let_52 (ASSUME :args _let_51))) (let ((_let_53 (forall ((A $$unsorted)) (= A (tptp.addition A A))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (_let_53))) (let ((_let_56 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_57 (forall ((A $$unsorted)) (= A (tptp.multiplication A tptp.one))))) (let ((_let_58 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_59 (_let_57))) (let ((_let_60 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM))) (let ((_let_61 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_ENUM))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_52 :args _let_61) :args _let_51))) _let_52 :args (_let_24 false _let_15)))) (let ((_let_63 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (= tptp.zero _let_63))) (let ((_let_65 (and (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25)) _let_64 _let_25))) (let ((_let_66 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_67 (= _let_66 _let_65))) (let ((_let_68 (forall ((X0 $$unsorted) (X1 $$unsorted)) (= (tptp.complement X1 X0) (and (= tptp.zero (tptp.multiplication X0 X1)) (= tptp.zero (tptp.multiplication X1 X0)) (= tptp.one (tptp.addition X0 X1))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (_let_68))) (let ((_let_71 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_72 (not _let_71))) (let ((_let_73 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_74 (= _let_73 _let_72))) (let ((_let_75 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (_let_75))) (let ((_let_78 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_ENUM))) (let ((_let_79 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_80 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (and _let_80 _let_79))) (let ((_let_82 (tptp.leq SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_31))) (let ((_let_83 (= _let_82 _let_81))) (let ((_let_84 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_85 (not _let_84))) (let ((_let_86 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_87 (not _let_86))) (let ((_let_88 (not _let_73))) (let ((_let_89 (or _let_88 _let_87 _let_85 _let_83))) (let ((_let_90 (forall ((X0 $$unsorted) (X1 $$unsorted) (X2 $$unsorted)) (or (not (tptp.test X0)) (not (tptp.test X1)) (not (tptp.test X2)) (= (tptp.leq X2 (tptp.multiplication X0 X1)) (and (tptp.leq X2 X0) (tptp.leq X2 X1))))))) (let ((_let_91 (not _let_89))) (let ((_let_92 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_93 (or))) (let ((_let_94 (not _let_90))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_92) :args (_let_94))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_94) _let_90))) (REFL :args (_let_91)) :args _let_93)) _let_92 :args (_let_91 true _let_90)))) (let ((_let_96 (REFL :args (_let_89)))) (let ((_let_97 (not _let_66))) (let ((_let_98 (_let_72))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_67)) :args ((or _let_97 _let_65 (not _let_67)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_98)) :args _let_98) (REWRITE :args ((=> _let_72 (not _let_97)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_71))) (REFL :args (_let_66)) :args _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_74)) :args ((or _let_88 _let_72 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 0)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_73))) :args _let_93)) :args ((or _let_73 _let_89))) _let_95 :args (_let_73 true _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_78) :args _let_77)) _let_76 :args (_let_74 false _let_75)) :args (_let_72 false _let_73 false _let_74)) :args (_let_66 true _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_61) :args _let_70)) _let_69 :args (_let_67 false _let_68)) :args (_let_65 false _let_66 false _let_67)))) (let ((_let_100 (not _let_65))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_65 2)) :args ((or _let_25 _let_100))) _let_99 :args (_let_25 false _let_65)))) (let ((_let_102 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_ENUM))) (let ((_let_103 (and (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26)) (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) _let_29))) (let ((_let_104 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_105 (= _let_104 _let_103))) (let ((_let_106 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_107 (not _let_106))) (let ((_let_108 (= _let_86 _let_107))) (let ((_let_109 (not _let_104))) (let ((_let_110 (_let_107))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_103 2)) :args ((or _let_29 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_105)) :args ((or _let_109 _let_103 (not _let_105)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_110)) :args _let_110) (REWRITE :args ((=> _let_107 (not _let_109)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_106))) (REFL :args (_let_104)) :args _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_108)) :args ((or _let_87 _let_107 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 1)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_87) _let_86))) :args _let_93)) :args ((or _let_86 _let_89))) _let_95 :args (_let_86 true _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_56) :args _let_77)) _let_76 :args (_let_108 false _let_75)) :args (_let_107 false _let_86 false _let_108)) :args (_let_104 true _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_102) :args _let_70)) _let_69 :args (_let_105 false _let_68)) :args (_let_103 false _let_104 false _let_105)) :args (_let_29 false _let_103)))) (let ((_let_112 (_let_14))) (let ((_let_113 (ASSUME :args _let_112))) (let ((_let_114 (= _let_82 _let_33))) (let ((_let_115 (not _let_33))) (let ((_let_116 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_117 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_118 (_let_116))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_117 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_31 QUANTIFIERS_INST_CBQI_PROP)) :args _let_118)) _let_117 :args (_let_114 false _let_116)))) (let ((_let_120 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_121 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_122 (= _let_121 _let_120))) (let ((_let_123 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero))) (let ((_let_124 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_123))) (let ((_let_125 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_126 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_125))) (let ((_let_127 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_128 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_127))) (let ((_let_129 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_130 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_129))) (let ((_let_131 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.zero)))) (let ((_let_132 (tptp.multiplication tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_133 (= tptp.zero _let_132))) (let ((_let_134 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_135 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_134))) (let ((_let_136 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_137 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_31))) (let ((_let_138 (= _let_137 (tptp.multiplication _let_136 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_139 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_121) (tptp.addition _let_136 _let_31)))) (let ((_let_140 (tptp.addition _let_31 _let_136))) (let ((_let_141 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_120) _let_140))) (let ((_let_142 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.one))) (let ((_let_143 (= _let_142 (tptp.addition tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_144 (= (tptp.multiplication _let_142 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) (tptp.addition _let_136 _let_129)))) (let ((_let_145 (= (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_142) (tptp.addition _let_136 _let_127)))) (let ((_let_146 (tptp.addition tptp.zero SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_147 (= 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false _let_160 false _let_36 false _let_155 false _let_159 false _let_25 false _let_153 false _let_24 false _let_151 false _let_135 false _let_126 false _let_34 false _let_158 false _let_157 false _let_155 false _let_29 false _let_154 false _let_25 false _let_64 false _let_153 false _let_24 false _let_152 false _let_151 false _let_150 false _let_148 false _let_147 false _let_145 false _let_144 false _let_143 false _let_141 false _let_139 false _let_138 false _let_135 false _let_133 false _let_131 false _let_130 false _let_128 false _let_126 false _let_124 false _let_122 false _let_33 false _let_114 true _let_81 true _let_83)))) (let ((_let_265 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_164) :args ((or _let_82 _let_81 _let_83))) _let_264 _let_163 :args (_let_81 true _let_82 true _let_83)))) (let ((_let_266 (not _let_81))) (let ((_let_267 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_ENUM))) (let ((_let_268 (and _let_44 (= tptp.zero (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_45))) (let ((_let_269 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_270 (= _let_269 _let_268))) (let ((_let_271 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_272 (not _let_271))) (let ((_let_273 (= _let_84 _let_272))) (let ((_let_274 (not _let_269))) (let ((_let_275 (_let_272))) (let ((_let_276 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_270)) :args ((or _let_274 _let_268 (not _let_270)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_275)) :args _let_275) (REWRITE :args ((=> _let_272 (not _let_274)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_272) _let_271))) (REFL :args (_let_269)) :args _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_273)) :args ((or _let_85 _let_272 (not _let_273)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_89 2)) (CONG _let_96 (MACRO_SR_PRED_INTRO :args ((= (not _let_85) _let_84))) :args _let_93)) :args ((or _let_84 _let_89))) _let_95 :args (_let_84 true _let_89)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args _let_60) :args _let_77)) _let_76 :args (_let_273 false _let_75)) :args (_let_272 false _let_84 false _let_273)) :args (_let_269 true _let_271)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args _let_267) :args _let_70)) _let_69 :args (_let_270 false _let_68)) :args (_let_268 false _let_269 false _let_270)))) (let ((_let_277 (not _let_268))) (let ((_let_278 (not _let_50))) (let ((_let_279 (not _let_49))) (let ((_let_280 (not _let_48))) (let ((_let_281 (not _let_46))) (let ((_let_282 (not _let_42))) (let ((_let_283 (not _let_41))) (let ((_let_284 (not _let_45))) (let ((_let_285 (not _let_44))) (let ((_let_286 (not _let_38))) (let ((_let_287 (not _let_30))) (let ((_let_288 (not _let_28))) (let ((_let_289 (not _let_21))) (let ((_let_290 (not _let_20))) (let ((_let_291 (not _let_18))) (let ((_let_292 (_let_278))) (let ((_let_293 (ASSUME :args (_let_50)))) (let ((_let_294 (ASSUME :args (_let_115)))) (let ((_let_295 (ASSUME :args (_let_46)))) (let ((_let_296 (ASSUME :args (_let_21)))) (let ((_let_297 (ASSUME :args (_let_28)))) (let ((_let_298 (SYMM _let_297))) (let ((_let_299 (ASSUME :args (_let_20)))) (let ((_let_300 (ASSUME :args (_let_30)))) (let ((_let_301 (ASSUME :args (_let_45)))) (let ((_let_302 (ASSUME :args (_let_41)))) (let ((_let_303 (ASSUME :args (_let_42)))) (let ((_let_304 (ASSUME :args (_let_36)))) (let ((_let_305 (ASSUME :args (_let_38)))) (let ((_let_306 (ASSUME :args (_let_49)))) (let ((_let_307 (ASSUME :args (_let_44)))) (let ((_let_308 (ASSUME :args (_let_48)))) (let ((_let_309 (ASSUME :args (_let_34)))) (let ((_let_310 (ASSUME :args (_let_18)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_293 (MODUS_PONENS (AND_INTRO _let_308 _let_307 _let_303 _let_302 _let_299 _let_309 _let_296 _let_209 _let_294 _let_202 _let_310 _let_297 _let_207 _let_304 _let_305 _let_295 _let_300 _let_306 _let_301) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG (TRANS (SYMM (SYMM _let_310)) (SYMM _let_309)) _let_206 :args _let_201) (TRANS (CONG _let_220 (TRANS (SYMM (SYMM _let_308)) (CONG (REFL :args (_let_47)) (SYMM (SYMM _let_307)) :args _let_198) (SYMM _let_306) (CONG _let_250 (TRANS (SYMM (SYMM _let_305)) (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27)) (SYMM (SYMM _let_304)) :args _let_198) (SYMM (SYMM _let_303)) (CONG (TRANS (TRANS (SYMM _let_302) (SYMM _let_301) _let_207 _let_210) (TRANS _let_211 _let_208 _let_202 _let_298)) _let_206 :args _let_198) (SYMM _let_300) (CONG _let_204 (SYMM _let_299) :args _let_198) (SYMM _let_298) _let_203) :args _let_201) (SYMM _let_296)) :args _let_198) (SYMM (SYMM _let_295))) :args (=)) (FALSE_INTRO _let_294))) :args (_let_48 _let_44 _let_42 _let_41 _let_20 _let_34 _let_21 _let_24 _let_115 _let_29 _let_18 _let_28 _let_25 _let_36 _let_38 _let_46 _let_30 _let_49 _let_45)))) :args (_let_18 _let_20 _let_34 _let_21 _let_24 _let_25 _let_115 _let_46 _let_36 _let_29 _let_28 _let_30 _let_38 _let_44 _let_45 _let_41 _let_42 _let_48 _let_49 _let_50)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args _let_292))) (TRUE_INTRO (SYMM (SYMM _let_293))))) :args (_let_50 _let_278)) :args ((not (and _let_18 _let_20 _let_34 _let_21 _let_24 _let_25 _let_115 _let_46 _let_36 _let_29 _let_28 _let_30 _let_38 _let_44 _let_45 _let_41 _let_42 _let_48 _let_49 _let_50)) SB_LITERAL))) (CONG (REFL :args (_let_291)) (REFL :args (_let_290)) (REFL :args (_let_258)) (REFL :args (_let_289)) (REFL :args (_let_193)) (REFL :args (_let_191)) (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_33))) (REFL :args (_let_281)) (REFL :args (_let_262)) (REFL :args (_let_190)) (REFL :args (_let_288)) (REFL :args (_let_287)) (REFL :args (_let_286)) (REFL :args (_let_285)) (REFL :args (_let_284)) (REFL :args (_let_283)) (REFL :args (_let_282)) (REFL :args (_let_280)) (REFL :args (_let_279)) (REFL :args _let_292) :args _let_93)) :args ((or _let_291 _let_290 _let_258 _let_289 _let_193 _let_191 _let_33 _let_262 _let_190 _let_288 _let_287 _let_286 _let_285 _let_284 _let_283 _let_282 _let_281 _let_280 _let_279 _let_278))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_185 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_184)) _let_185 :args (_let_50 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_183 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_CBQI_PROP)) :args _let_182)) _let_183 :args (_let_49 false _let_8)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_168 :args (_let_47 QUANTIFIERS_INST_ENUM)) :args _let_169)) _let_168 :args (_let_48 false _let_167)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (_let_31 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_CBQI_PROP)) :args _let_51)) _let_52 :args (_let_46 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_268 2)) :args ((or _let_45 _let_277))) _let_276 :args (_let_45 false _let_268)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_268 0)) :args ((or _let_44 _let_277))) _let_276 :args (_let_44 false _let_268)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_ENUM)) :args _let_112)) _let_113 :args (_let_42 false _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args _let_267) :args _let_51)) _let_52 :args (_let_41 false _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_52 :args (_let_38 false _let_15)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_263) :args ((or (not _let_79) _let_36 _let_261))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 1)) :args ((or _let_79 _let_266))) _let_265 :args (_let_79 false _let_81)) _let_260 :args (_let_36 false _let_79 false _let_161)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_259) :args ((or (not _let_80) _let_34 _let_257))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_81 0)) :args ((or _let_80 _let_266))) _let_265 :args (_let_80 false _let_81)) _let_256 :args (_let_34 false _let_80 false _let_160)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_166) :args ((or _let_82 _let_115 _let_165))) _let_264 _let_119 :args (_let_115 true _let_82 false _let_114)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_113 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_26 QUANTIFIERS_INST_CBQI_PROP)) :args _let_112)) _let_113 :args (_let_30 false _let_14)) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_52 :args _let_102) :args _let_51))) _let_52 :args (_let_28 false _let_15)) _let_101 _let_62 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args _let_60) :args _let_59)) _let_58 :args (_let_21 false _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args _let_56) :args _let_55)) _let_54 :args (_let_20 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_52 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_ENUM)) :args _let_51)) _let_52 :args (_let_18 false _let_15)) :args (false false _let_50 false _let_49 false _let_48 false _let_46 false _let_45 false _let_44 false _let_42 false _let_41 false _let_38 false _let_36 false _let_34 true _let_33 false _let_30 false _let_29 false _let_28 false _let_25 false _let_24 false _let_21 false _let_20 false _let_18)) :args (_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 _let_2 (forall ((X0 $$unsorted) (X1 $$unsorted)) (=> (tptp.test X0) (= (= (tptp.c X0) X1) (tptp.complement X0 X1)))) (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 12.71/12.87 )
% 12.71/12.87 % SZS output end Proof for KLE017+1
% 12.71/12.87 % cvc5---1.0.5 exiting
% 12.71/12.87 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------