TSTP Solution File: KLE014+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : KLE014+3 : 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 05:26:51 EDT 2023
% Result : Theorem 17.82s 18.06s
% Output : Proof 17.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE014+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 11:50:50 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 17.82/18.06 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.xKYL8eeZMa/cvc5---1.0.5_31782.p...
% 17.82/18.06 ------- get file name : TPTP file name is KLE014+3
% 17.82/18.06 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31782.smt2...
% 17.82/18.06 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 17.82/18.06 --- Run --no-e-matching --full-saturate-quant at 5...
% 17.82/18.06 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 17.82/18.06 % SZS status Theorem for KLE014+3
% 17.82/18.06 % SZS output start Proof for KLE014+3
% 17.82/18.06 (
% 17.82/18.06 (let ((_let_1 (not (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c (tptp.addition X0 X1)))) (let ((_let_2 (tptp.multiplication (tptp.c X0) (tptp.c X1)))) (=> (and (tptp.test X1) (tptp.test X0)) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1))))))))) (let ((_let_2 (forall ((X0 $$unsorted)) (=> (not (tptp.test X0)) (= (tptp.c X0) tptp.zero))))) (let ((_let_3 (forall ((X0 $$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 ((C $$unsorted) (B $$unsorted) (A $$unsorted)) (= (tptp.addition A (tptp.addition B C)) (tptp.addition (tptp.addition A B) C))))) (let ((_let_17 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.addition A B) (tptp.addition B A))))) (let ((_let_18 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_19 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.c SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_21 (tptp.multiplication _let_20 _let_19))) (let ((_let_22 (tptp.complement _let_21 _let_18))) (let ((_let_23 (forall ((X1 $$unsorted)) (not (tptp.complement X1 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_24 (tptp.addition _let_18 _let_21))) (let ((_let_25 (= tptp.one _let_24))) (let ((_let_26 (= tptp.zero (tptp.multiplication _let_21 _let_18)))) (let ((_let_27 (= tptp.zero (tptp.multiplication _let_18 _let_21)))) (let ((_let_28 (and _let_27 _let_26 _let_25))) (let ((_let_29 (= _let_22 _let_28))) (let ((_let_30 (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_31 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 (_let_18 _let_21 QUANTIFIERS_INST_ENUM))) (let ((_let_34 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_35 (tptp.addition _let_34 _let_20))) (let ((_let_36 (= (tptp.multiplication _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition (tptp.multiplication _let_34 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_37 (tptp.addition _let_21 _let_18))) (let ((_let_38 (= _let_37 _let_24))) (let ((_let_39 (tptp.addition _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_40 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_39) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_20) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_41 (tptp.multiplication _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_42 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_43 (tptp.multiplication _let_20 _let_42))) (let ((_let_44 (tptp.addition _let_43 _let_41))) (let ((_let_45 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_44) (tptp.addition (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_43) _let_41)))) (let ((_let_46 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_47 (tptp.addition _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_48 (= (tptp.multiplication _let_47 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition (tptp.multiplication _let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_46)))) (let ((_let_49 (tptp.addition _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_50 (= (tptp.multiplication _let_20 _let_49) _let_44))) (let ((_let_51 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_53 (= (tptp.multiplication _let_52 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.addition _let_42 _let_51)))) (let ((_let_54 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_55 (= _let_54 _let_52))) (let ((_let_56 (= tptp.one _let_52))) (let ((_let_57 (= tptp.zero _let_51))) (let ((_let_58 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_59 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_58) (tptp.addition _let_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_60 (= (tptp.addition _let_42 tptp.one) (tptp.addition tptp.one _let_42)))) (let ((_let_61 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 (tptp.c _let_42)))) (let ((_let_62 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 _let_42))) (let ((_let_63 (= _let_49 _let_62))) (let ((_let_64 (tptp.addition _let_46 _let_42))) (let ((_let_65 (= _let_64 (tptp.addition _let_42 _let_46)))) (let ((_let_66 (tptp.addition _let_21 _let_42))) (let ((_let_67 (tptp.addition _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_68 (= (tptp.addition _let_21 _let_67) (tptp.addition _let_66 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))) (let ((_let_69 (= (tptp.addition _let_42 _let_21) _let_66))) (let ((_let_70 (= tptp.one _let_39))) (let ((_let_71 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20))) (let ((_let_72 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_71) _let_35))) (let ((_let_73 (= (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_42) _let_67))) (let ((_let_74 (= (tptp.multiplication _let_18 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) _let_64))) (let ((_let_75 (= _let_42 (tptp.addition _let_42 tptp.zero)))) (let ((_let_76 (= _let_20 (tptp.multiplication _let_20 tptp.one)))) (let ((_let_77 (tptp.addition SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_78 (= (tptp.addition _let_20 _let_77) _let_47))) (let ((_let_79 (= _let_71 _let_39))) (let ((_let_80 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 _let_58))) (let ((_let_81 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 (tptp.multiplication tptp.one SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_82 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_77))) (let ((_let_83 (= _let_18 _let_34))) (let ((_let_84 (_let_9))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_34 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_36 false _let_9)))) (let ((_let_87 (_let_17))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (_let_16))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_89)) _let_90 :args (_let_40 false _let_16)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_41 _let_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_89)) _let_90 :args (_let_45 false _let_16)))) (let ((_let_93 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_PROP)) :args _let_84)) _let_85 :args (_let_48 false _let_9)))) (let ((_let_94 (_let_10))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (_let_20 _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_94)) _let_95 :args (_let_50 false _let_10)))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_53 false _let_9)))) (let ((_let_98 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_ENUM))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_98) :args _let_87))) _let_88 :args (_let_55 false _let_17)))) (let ((_let_100 (tptp.multiplication SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_101 (= tptp.zero _let_100))) (let ((_let_102 (and _let_101 _let_57 _let_56))) (let ((_let_103 (tptp.complement SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_104 (= _let_103 _let_102))) (let ((_let_105 (forall ((X1 $$unsorted)) (not (tptp.complement X1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_106 (not _let_105))) (let ((_let_107 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_108 (= _let_107 _let_106))) (let ((_let_109 (forall ((X0 $$unsorted)) (= (tptp.test X0) (not (forall ((X1 $$unsorted)) (not (tptp.complement X1 X0)))))))) (let ((_let_110 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_111 (_let_109))) (let ((_let_112 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_ENUM))) (let ((_let_113 (tptp.c _let_18))) (let ((_let_114 (tptp.leq _let_21 _let_113))) (let ((_let_115 (tptp.leq _let_113 _let_21))) (let ((_let_116 (and _let_115 _let_114))) (let ((_let_117 (tptp.test SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_118 (not _let_117))) (let ((_let_119 (not _let_107))) (let ((_let_120 (or _let_119 _let_118 _let_116))) (let ((_let_121 (forall ((X0 $$unsorted) (X1 $$unsorted)) (let ((_let_1 (tptp.c (tptp.addition X0 X1)))) (let ((_let_2 (tptp.multiplication (tptp.c X0) (tptp.c X1)))) (or (not (tptp.test X1)) (not (tptp.test X0)) (and (tptp.leq _let_1 _let_2) (tptp.leq _let_2 _let_1)))))))) (let ((_let_122 (not _let_120))) (let ((_let_123 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_124 (or))) (let ((_let_125 (not _let_121))) (let ((_let_126 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_123) :args (_let_125))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_121))) (REFL :args (_let_122)) :args _let_124)) _let_123 :args (_let_122 true _let_121)))) (let ((_let_127 (REFL :args (_let_120)))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_120 0)) (CONG _let_127 (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_107))) :args _let_124)) :args ((or _let_107 _let_120))) _let_126 :args (_let_107 true _let_120)))) (let ((_let_129 (not _let_103))) (let ((_let_130 (_let_106))) (let ((_let_131 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_104)) :args ((or _let_129 _let_102 (not _let_104)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_130)) :args _let_130) (REWRITE :args ((=> _let_106 (not _let_129)))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_106) _let_105))) (REFL :args (_let_103)) :args _let_124)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_108)) :args ((or _let_119 _let_106 (not _let_108)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args _let_112) :args _let_111)) _let_110 :args (_let_108 false _let_109)) :args (_let_106 false _let_107 false _let_108)) :args (_let_103 true _let_105)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_98) :args _let_32)) _let_31 :args (_let_104 false _let_30)) :args (_let_102 false _let_103 false _let_104)))) (let ((_let_132 (not _let_102))) (let ((_let_133 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 2)) :args ((or _let_56 _let_132))) _let_131 :args (_let_56 false _let_102)))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_102 1)) :args ((or _let_57 _let_132))) _let_131 :args (_let_57 false _let_102)))) (let ((_let_135 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_ENUM)) :args _let_89)) _let_90 :args (_let_59 false _let_16)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_42 tptp.one QUANTIFIERS_INST_ENUM)) :args _let_87)) _let_88 :args (_let_60 false _let_17)))) (let ((_let_137 (tptp.complement _let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25))) (let ((_let_138 (= _let_137 _let_61))) (let ((_let_139 (tptp.test _let_42))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138))) (let ((_let_142 (forall ((X0 $$unsorted) (X1 $$unsorted)) (or (not (tptp.test X0)) (= (tptp.complement X0 X1) (= X1 (tptp.c X0))))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (_let_142))) (let ((_let_145 (_let_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_25 QUANTIFIERS_INST_ENUM))) (let ((_let_146 (forall ((A $$unsorted)) (= A (tptp.addition A tptp.zero))))) (let ((_let_147 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_148 (_let_146))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_42 QUANTIFIERS_INST_ENUM)) :args _let_148)) _let_147 :args (_let_75 false _let_146)))) (let ((_let_150 (forall ((A $$unsorted)) (= A (tptp.multiplication tptp.one A))))) (let ((_let_151 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_152 (_let_150))) (let ((_let_153 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_151 :args _let_112) :args _let_152)) _let_151 :args (_let_81 false _let_150)))) (let ((_let_154 (not _let_53))) (let ((_let_155 (not _let_56))) (let ((_let_156 (not _let_57))) (let ((_let_157 (not _let_75))) (let ((_let_158 (not _let_81))) (let ((_let_159 (and _let_107 _let_81 _let_75 _let_57 _let_56 _let_53))) (let ((_let_160 (ASSUME :args (_let_107)))) (let ((_let_161 (ASSUME :args (_let_81)))) (let ((_let_162 (SYMM (SYMM _let_161)))) (let ((_let_163 (SYMM _let_162))) (let ((_let_164 (APPLY_UF tptp.multiplication))) (let ((_let_165 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_166 (ASSUME :args (_let_56)))) (let ((_let_167 (SYMM (SYMM _let_166)))) (let ((_let_168 (SYMM _let_167))) (let ((_let_169 (ASSUME :args (_let_53)))) (let ((_let_170 (SYMM (SYMM 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_let_201 _let_200 _let_199 _let_198 _let_197 _let_136 _let_135 _let_134 _let_133 _let_99 _let_97 _let_96 _let_93 _let_92 _let_91 _let_86 :args (_let_253 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_70 false _let_69 false _let_68 false _let_65 false _let_63 false _let_61 false _let_60 false _let_59 false _let_57 false _let_56 false _let_55 false _let_53 false _let_50 false _let_48 false _let_45 false _let_40 false _let_36)) :args (_let_392 false _let_27 false _let_26 false _let_253)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_21 _let_18 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_32)) _let_31 :args (_let_393 false _let_30)) :args (_let_385 false _let_392 false _let_393)))) (let ((_let_396 (tptp.leq _let_21 _let_21))) (let ((_let_397 (not _let_386))) (let ((_let_398 (= _let_312 _let_396))) (let ((_let_399 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.leq A B) (= B (tptp.addition A B)))))) (let ((_let_400 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_401 (_let_399))) (let ((_let_402 (not _let_114))) (let ((_let_403 (= _let_21 (tptp.addition _let_113 _let_21)))) (let ((_let_404 (= _let_115 _let_403))) (let ((_let_405 (= _let_113 (tptp.addition _let_113 _let_113)))) (let ((_let_406 (= tptp.zero _let_113))) (let ((_let_407 (or _let_382 _let_406))) (let ((_let_408 (tptp.addition _let_21 tptp.zero))) (let ((_let_409 (= _let_21 _let_408))) (let ((_let_410 (= _let_408 (tptp.addition tptp.zero _let_21)))) (let ((_let_411 (and _let_405 _let_386))) (let ((_let_412 (ASSUME :args (_let_386)))) (let ((_let_413 (SYMM _let_412))) (let ((_let_414 (SYMM _let_413))) (let ((_let_415 (ASSUME :args (_let_405)))) (let ((_let_416 (REORDERING (CNF_EQUIV_POS2 :args (_let_387)) :args ((or _let_386 (not _let_385) _let_391))))) (let ((_let_417 (REORDERING (CNF_OR_POS :args (_let_389)) :args ((or _let_388 _let_387 (not _let_389)))))) (let ((_let_418 (forall ((X0 $$unsorted)) (or (tptp.test X0) (= tptp.zero (tptp.c X0)))))) (let ((_let_419 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_420 (and _let_406 _let_409 _let_410))) (let ((_let_421 (ASSUME :args (_let_406)))) (let ((_let_422 (ASSUME :args (_let_410)))) (let ((_let_423 (ASSUME :args (_let_409)))) (let ((_let_424 (ASSUME :args (_let_396)))) (let ((_let_425 (ASSUME :args (_let_402)))) (let ((_let_426 (not _let_383))) (let ((_let_427 (_let_23))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_427) :args (_let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_427)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_EQUIV_POS2 :args (_let_383)) (CONG (REFL :args (_let_426)) (REFL :args (_let_382)) (MACRO_SR_PRED_INTRO :args ((= (not _let_381) _let_23))) :args _let_124)) :args ((or _let_382 _let_23 _let_426))) (MACRO_RESOLUTION_TRUST _let_417 (MACRO_RESOLUTION_TRUST _let_416 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_424 _let_412 _let_425) :args (_let_402 _let_396 _let_386)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_425)) (CONG _let_259 _let_414 :args (APPLY_UF tptp.leq)) (TRUE_INTRO _let_424))) :args (_let_396 _let_386 _let_402)) :args ((not (and _let_402 _let_396 _let_386)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_402) _let_114))) (REFL :args ((not _let_396))) (REFL :args (_let_397)) :args _let_124)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_116)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_120 2)) _let_126 :args ((not _let_116) true _let_120)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_404)) :args ((or _let_115 (not _let_403) (not _let_404)))) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_420)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_421 _let_422 _let_423) (SCOPE (TRANS (SYMM (SYMM _let_423)) (SYMM (SYMM _let_422)) (CONG (SYMM (SYMM _let_421)) _let_259 :args _let_171)) :args (_let_406 _let_410 _let_409))) :args (_let_406 _let_409 _let_410))) :args (true _let_420)) :args ((or (not _let_406) (not _let_409) _let_403 (not _let_410)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_88 :args (_let_21 tptp.zero QUANTIFIERS_INST_ENUM)) :args _let_87)) _let_88 :args (_let_410 false _let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args _let_319) :args _let_148)) _let_147 :args (_let_409 false _let_146)) (REORDERING (CNF_OR_POS :args (_let_407)) :args ((or _let_382 _let_406 (not _let_407)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_419 :args _let_384) :args (_let_418))) _let_419 :args (_let_407 false _let_418)) _let_417 _let_390 _let_416 _let_395 (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_411)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_412 _let_415) (SCOPE (TRANS _let_413 (SYMM (SYMM _let_415)) (CONG (REFL :args (_let_113)) _let_414 :args _let_171)) :args (_let_386 _let_405))) :args (_let_405 _let_386))) :args (true _let_411)) :args ((or _let_403 (not _let_405) _let_397))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_224 :args (_let_113 QUANTIFIERS_INST_ENUM)) :args _let_225)) _let_224 :args (_let_405 false _let_223)) :args (_let_403 false _let_410 false _let_409 false _let_406 false _let_407 true _let_382 false _let_389 true _let_387 false _let_385 true _let_386 false _let_405)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_400 :args (_let_113 _let_21 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_401)) _let_400 :args (_let_404 false _let_399)) :args (_let_115 false _let_403 false _let_404)) :args (_let_402 true _let_116 false _let_115)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_398)) :args ((or _let_326 _let_396 (not _let_398)))) _let_320 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_400 :args (_let_21 _let_21 QUANTIFIERS_INST_ENUM)) :args _let_401))) _let_400 :args (_let_398 false _let_399)) :args (_let_396 false _let_312 false _let_398)) :args (_let_397 true _let_114 false _let_396)) _let_395 :args (_let_391 true _let_386 false _let_385)) _let_390 :args (_let_388 true _let_387 false _let_389)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args _let_384) :args _let_111)) _let_110 :args (_let_383 false _let_109)) :args (_let_23 true _let_382 false _let_383)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_29)) :args ((or _let_22 (not _let_28) (not _let_29)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_28)) _let_380 _let_354 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_252)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_254 _let_298) (SCOPE (TRANS (SYMM (SYMM (ASSUME :args (_let_253)))) (SYMM (SYMM _let_254))) :args (_let_38 _let_253))) :args (_let_83 _let_82 _let_81 _let_80 _let_79 _let_78 _let_76 _let_70 _let_75 _let_74 _let_73 _let_72 _let_69 _let_68 _let_65 _let_63 _let_61 _let_60 _let_59 _let_57 _let_56 _let_55 _let_53 _let_50 _let_48 _let_45 _let_40 _let_38 _let_36))) :args (true _let_252)) :args ((or _let_251 _let_250 _let_158 _let_249 _let_248 _let_247 _let_246 _let_157 _let_245 _let_244 _let_243 _let_242 _let_241 _let_240 _let_239 _let_238 _let_237 _let_236 _let_235 _let_156 _let_155 _let_185 _let_154 _let_234 _let_233 _let_232 _let_231 (not _let_38) _let_25 _let_230))) _let_229 _let_228 _let_153 _let_226 _let_222 _let_221 _let_220 _let_149 _let_216 _let_215 _let_214 _let_213 _let_201 _let_200 _let_199 _let_198 _let_197 _let_136 _let_135 _let_134 _let_133 _let_99 _let_97 _let_96 _let_93 _let_92 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_88 :args _let_33) :args _let_87))) _let_88 :args (_let_38 false _let_17)) _let_86 :args (_let_25 false _let_83 false _let_82 false _let_81 false _let_80 false _let_79 false _let_78 false _let_76 false _let_75 false _let_74 false _let_73 false _let_72 false _let_70 false _let_69 false _let_68 false _let_65 false _let_63 false _let_61 false _let_60 false _let_59 false _let_57 false _let_56 false _let_55 false _let_53 false _let_50 false _let_48 false _let_45 false _let_40 false _let_38 false _let_36)) :args (_let_28 false _let_27 false _let_26 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args _let_33) :args _let_32)) _let_31 :args (_let_29 false _let_30)) :args (_let_22 false _let_28 false _let_29)) :args (false false _let_23 false _let_22)) :args (_let_17 _let_16 _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 _let_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 17.82/18.06 )
% 17.82/18.06 % SZS output end Proof for KLE014+3
% 17.82/18.06 % cvc5---1.0.5 exiting
% 17.82/18.06 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------