TSTP Solution File: NUM498+3 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : NUM498+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n010.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 10:44:29 EDT 2023
% Result : Theorem 0.22s 0.66s
% Output : Proof 0.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM498+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Fri Aug 25 08:58:50 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.66 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pJ9WMRT0nk/cvc5---1.0.5_1434.p...
% 0.22/0.66 ------- get file name : TPTP file name is NUM498+3
% 0.22/0.66 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_1434.smt2...
% 0.22/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.66 % SZS status Theorem for NUM498+3
% 0.22/0.66 % SZS output start Proof for NUM498+3
% 0.22/0.66 (
% 0.22/0.66 (let ((_let_1 (not (=> (or (= tptp.xk tptp.sz00) (= tptp.xk tptp.sz10)) (or (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= tptp.xn (tptp.sdtasdt0 tptp.xp W0)))) (tptp.doDivides0 tptp.xp tptp.xn) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= tptp.xm (tptp.sdtasdt0 tptp.xp W0)))) (tptp.doDivides0 tptp.xp tptp.xm)))))) (let ((_let_2 (tptp.sdtasdt0 tptp.xn tptp.xm))) (let ((_let_3 (= _let_2 (tptp.sdtasdt0 tptp.xp tptp.xk)))) (let ((_let_4 (and (tptp.aNaturalNumber0 tptp.xk) _let_3 (= tptp.xk (tptp.sdtsldt0 _let_2 tptp.xp))))) (let ((_let_5 (= tptp.xn tptp.xp))) (let ((_let_6 (and (not _let_5) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xn W0) tptp.xp))) (tptp.sdtlseqdt0 tptp.xn tptp.xp) (not (= tptp.xm tptp.xp)) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xm W0) tptp.xp))) (tptp.sdtlseqdt0 tptp.xm tptp.xp)))) (let ((_let_7 (and (not (= tptp.xp tptp.sz00)) (not (= tptp.xp tptp.sz10)) (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (or (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (= tptp.xp (tptp.sdtasdt0 W0 W1)))) (tptp.doDivides0 W0 tptp.xp))) (or (= W0 tptp.sz10) (= W0 tptp.xp)))) (tptp.isPrime0 tptp.xp) (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtasdt0 tptp.xn tptp.xm) (tptp.sdtasdt0 tptp.xp W0)))) (tptp.doDivides0 tptp.xp _let_2)))) (let ((_let_8 (tptp.aNaturalNumber0 tptp.xp))) (let ((_let_9 (tptp.aNaturalNumber0 tptp.xm))) (let ((_let_10 (tptp.aNaturalNumber0 tptp.xn))) (let ((_let_11 (and _let_10 _let_9 _let_8))) (let ((_let_12 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtasdt0 W0 W1) tptp.sz00) (or (= W0 tptp.sz00) (= W1 tptp.sz00))))))) (let ((_let_13 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz00) tptp.sz00) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_14 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtasdt0 W0 tptp.sz10) W0) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_15 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_16 (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (and (= (tptp.sdtpldt0 W0 tptp.sz00) W0) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_17 (tptp.aNaturalNumber0 tptp.sz00))) (let ((_let_18 (tptp.sdtasdt0 tptp.xp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (= _let_2 _let_18))) (let ((_let_20 (= tptp.xp (tptp.sdtpldt0 tptp.xm SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_21 (= tptp.sz00 (tptp.sdtpldt0 tptp.sz00 tptp.sz00)))) (let ((_let_22 (tptp.sdtasdt0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 tptp.xp))) (let ((_let_23 (= _let_18 _let_22))) (let ((_let_24 (= tptp.xm _let_18))) (let ((_let_25 (= tptp.sz00 (tptp.sdtasdt0 tptp.xp tptp.sz00)))) (let ((_let_26 (= tptp.sz00 tptp.xk))) (let ((_let_27 (= tptp.sz00 tptp.xm))) (let ((_let_28 (1))) (let ((_let_29 (AND_ELIM (ASSUME :args (_let_4)) :args _let_28))) (let ((_let_30 (not _let_19))) (let ((_let_31 (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30))) (let ((_let_34 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= (tptp.sdtasdt0 tptp.xn tptp.xm) (tptp.sdtasdt0 tptp.xp W0))))))) (let ((_let_35 (not _let_33))) (let ((_let_36 (4))) (let ((_let_37 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_38 (or))) (let ((_let_39 (not _let_34))) (let ((_let_40 (_let_39))) (let ((_let_41 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_40)) :args _let_40)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_34))) (REFL :args (_let_35)) :args _let_38)) (AND_ELIM _let_37 :args _let_36) :args (_let_35 true _let_34)))) (let ((_let_42 (REFL :args (_let_33)))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 1)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_19))) :args _let_38)) :args ((or _let_19 _let_33))) _let_41 :args (_let_19 true _let_33)))) (let ((_let_44 (not _let_20))) (let ((_let_45 (or (not (tptp.aNaturalNumber0 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_44))) (let ((_let_46 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xp (tptp.sdtpldt0 tptp.xm W0))))))) (let ((_let_47 (not _let_45))) (let ((_let_48 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_49 (not _let_46))) (let ((_let_50 (_let_49))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 1)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_20))) :args _let_38)) :args ((or _let_20 _let_45))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_50)) :args _let_50)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_49) _let_46))) (REFL :args (_let_47)) :args _let_38)) (AND_ELIM _let_48 :args _let_36) :args (_let_47 true _let_46)) :args (_let_20 true _let_45)))) (let ((_let_52 (not _let_17))) (let ((_let_53 (or _let_52 _let_21))) (let ((_let_54 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtpldt0 W0 tptp.sz00)) (= W0 (tptp.sdtpldt0 tptp.sz00 W0))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_16)) (MACRO_SR_EQ_INTRO :args (_let_16 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_52 _let_21 (not _let_53)))) (ASSUME :args (_let_17)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_55 :args (tptp.sz00 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_54)))) _let_55 :args (_let_53 false _let_54)) :args (_let_21 false _let_17 false _let_53)))) (let ((_let_57 (not _let_8))) (let ((_let_58 (or _let_57 _let_32 _let_23))) (let ((_let_59 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W1 W0)))))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (_let_59))) (let ((_let_62 ((tptp.sdtasdt0 W0 W1)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG _let_42 (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_38)) :args ((or _let_31 _let_33))) _let_41 :args (_let_31 true _let_33)))) (let ((_let_64 (2))) (let ((_let_65 (ASSUME :args (_let_11)))) (let ((_let_66 (AND_ELIM _let_65 :args _let_64))) (let ((_let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_57 _let_32 _let_23 (not _let_58)))) _let_66 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.xp SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_58 false _let_59)) :args (_let_23 false _let_8 false _let_31 false _let_58)))) (let ((_let_68 (not _let_24))) (let ((_let_69 (or _let_32 _let_68))) (let ((_let_70 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xm (tptp.sdtasdt0 tptp.xp W0))))))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (NOT_IMPLIES_ELIM2 _let_71))) (let ((_let_73 (_let_70))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_69)) :args ((or _let_32 _let_68 (not _let_69)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_73) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args _let_73)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_72 :args _let_64)) :args (_let_69 false _let_70)) :args (_let_68 false _let_31 false _let_69)))) (let ((_let_75 (and _let_25 (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 tptp.xp))))) (let ((_let_76 (or _let_57 _let_75))) (let ((_let_77 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= tptp.sz00 (tptp.sdtasdt0 W0 tptp.sz00)) (= tptp.sz00 (tptp.sdtasdt0 tptp.sz00 W0))))))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_75 0)) :args ((or _let_25 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_57 _let_75 (not _let_76)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_78 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args (_let_77))) _let_78 :args (_let_76 false _let_77)) :args (_let_75 false _let_8 false _let_76)) :args (_let_25 false _let_75)))) (let ((_let_80 (= tptp.sz10 tptp.xk))) (let ((_let_81 (= tptp.xp (tptp.sdtasdt0 tptp.xp tptp.sz10)))) (let ((_let_82 (= tptp.xp _let_2))) (let ((_let_83 (not _let_80))) (let ((_let_84 (and _let_81 (= tptp.xp (tptp.sdtasdt0 tptp.sz10 tptp.xp))))) (let ((_let_85 (or _let_57 _let_84))) (let ((_let_86 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (= W0 (tptp.sdtasdt0 W0 tptp.sz10)) (= W0 (tptp.sdtasdt0 tptp.sz10 W0))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 ((not (= (tptp.aNaturalNumber0 W0) false))))) (let ((_let_90 (not _let_82))) (let ((_let_91 (not _let_9))) (let ((_let_92 (or _let_91 _let_90))) (let ((_let_93 (and _let_92 (not (tptp.doDivides0 tptp.xn tptp.xp))))) (let ((_let_94 (= tptp.sz10 tptp.xn))) (let ((_let_95 (not _let_10))) (let ((_let_96 (or _let_95 _let_93 _let_94 _let_5))) (let ((_let_97 (forall ((W0 $$unsorted) (BOUND_VARIABLE_2017 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (and (or (not (tptp.aNaturalNumber0 BOUND_VARIABLE_2017)) (not (= tptp.xp (tptp.sdtasdt0 W0 BOUND_VARIABLE_2017)))) (not (tptp.doDivides0 W0 tptp.xp))) (= tptp.sz10 W0) (= tptp.xp W0))))) (let ((_let_98 (_let_97))) (let ((_let_99 (= tptp.xm (tptp.sdtasdt0 tptp.xm tptp.sz10)))) (let ((_let_100 (= _let_2 (tptp.sdtasdt0 tptp.xm tptp.xn)))) (let ((_let_101 (= tptp.xm _let_22))) (let ((_let_102 (not _let_94))) (let ((_let_103 (and _let_99 (= tptp.xm (tptp.sdtasdt0 tptp.sz10 tptp.xm))))) (let ((_let_104 (or _let_91 _let_103))) (let ((_let_105 (AND_ELIM _let_65 :args _let_28))) (let ((_let_106 (or _let_95 _let_91 _let_100))) (let ((_let_107 (0))) (let ((_let_108 (AND_ELIM _let_65 :args _let_107))) (let ((_let_109 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_95 _let_91 _let_100 (not _let_106)))) _let_108 _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_60 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_61)) _let_60 :args (_let_106 false _let_59)) :args (_let_100 false _let_10 false _let_9 false _let_106)))) (let ((_let_110 (not _let_101))) (let ((_let_111 (not _let_23))) (let ((_let_112 (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_24))))) (let ((_let_113 (REFL :args (_let_111)))) (let ((_let_114 (and _let_23 _let_68))) (let ((_let_115 (ASSUME :args (_let_68)))) (let ((_let_116 (FALSE_INTRO _let_115))) (let ((_let_117 (ASSUME :args (_let_23)))) (let ((_let_118 (SYMM _let_117))) (let ((_let_119 (REFL :args (tptp.xm)))) (let ((_let_120 (not _let_100))) (let ((_let_121 (and _let_19 _let_100 _let_23 _let_99 _let_94))) (let ((_let_122 (ASSUME :args (_let_19)))) (let ((_let_123 (SYMM _let_122))) (let ((_let_124 (ASSUME :args (_let_100)))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (APPLY_UF tptp.sdtasdt0))) (let ((_let_127 (ASSUME :args (_let_94)))) (let ((_let_128 (ASSUME :args (_let_99)))) (let ((_let_129 (not _let_3))) (let ((_let_130 (and _let_3 _let_80 _let_20 _let_81))) (let ((_let_131 (ASSUME :args (_let_3)))) (let ((_let_132 (SYMM _let_131))) (let ((_let_133 (ASSUME :args (_let_20)))) (let ((_let_134 (CONG (SYMM _let_133) (REFL :args (tptp.xk)) :args _let_126))) (let ((_let_135 (ASSUME :args (_let_80)))) (let ((_let_136 (ASSUME :args (_let_81)))) (let ((_let_137 (MACRO_RESOLUTION_TRUST (NOT_IMPLIES_ELIM1 _let_71) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_130)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_131 _let_133 _let_135 _let_136) (SCOPE (TRANS (SYMM (SYMM _let_136)) (CONG _let_133 (SYMM (SYMM _let_135)) :args _let_126) _let_134 _let_132) :args (_let_3 _let_20 _let_80 _let_81))) :args (_let_3 _let_80 _let_20 _let_81))) :args (true _let_130)) :args ((or _let_129 _let_83 _let_44 _let_82 (not _let_81)))) _let_29 _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_91 _let_90 (not _let_92)))) _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_93 0)) :args ((or _let_92 (not _let_93)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_5 _let_95 _let_94 _let_93 (not _let_96)))) (AND_ELIM _let_48 :args _let_107) _let_108 (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_121)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_117 _let_122 _let_124 _let_127 _let_128) (SCOPE (TRANS (SYMM (SYMM _let_128)) (CONG _let_119 (SYMM (SYMM _let_127)) :args _let_126) _let_125 (SYMM _let_123) (SYMM _let_118)) :args (_let_23 _let_19 _let_100 _let_94 _let_99))) :args (_let_19 _let_100 _let_23 _let_99 _let_94))) :args (true _let_121)) :args ((or _let_30 _let_102 _let_101 _let_120 _let_111 (not _let_99)))) _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_114)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_115 _let_117) (SCOPE (FALSE_ELIM (TRANS (CONG _let_119 _let_118 :args (=)) _let_116)) :args (_let_68 _let_23))) :args (_let_23 _let_68))) :args (true _let_114)) (CONG _let_113 _let_112 (REFL :args (_let_110)) :args _let_38)) :args ((or _let_24 _let_111 _let_110))) _let_74 _let_67 :args (_let_110 true _let_24 false _let_23)) _let_109 _let_67 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_103 0)) :args ((or _let_99 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_91 _let_103 (not _let_104)))) _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_104 false _let_86)) :args (_let_103 false _let_9 false _let_104)) :args (_let_99 false _let_103)) :args (_let_102 false _let_19 true _let_101 false _let_100 false _let_23 false _let_99)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_98) :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 BOUND_VARIABLE_2017)))) :args _let_98))) (AND_ELIM _let_37 :args _let_64) :args (_let_96 false _let_97)) :args (_let_93 true _let_5 false _let_10 true _let_94 false _let_96)) :args (_let_92 false _let_93)) :args (_let_90 false _let_9 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_84 0)) :args ((or _let_81 (not _let_84)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_85)) :args ((or _let_57 _let_84 (not _let_85)))) _let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (tptp.xp QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_89)) :args _let_88)) _let_87 :args (_let_85 false _let_86)) :args (_let_84 false _let_8 false _let_85)) :args (_let_81 false _let_84)) :args (_let_83 false _let_3 false _let_20 true _let_82 false _let_81)) :args (_let_26 true _let_80)))) (let ((_let_138 (= tptp.sz00 tptp.xn))) (let ((_let_139 (= tptp.sz00 _let_2))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_95 _let_91 _let_140 _let_138 _let_27))) (let ((_let_142 (forall ((W0 $$unsorted) (W1 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (tptp.aNaturalNumber0 W1)) (not (= tptp.sz00 (tptp.sdtasdt0 W0 W1))) (= tptp.sz00 W0) (= tptp.sz00 W1))))) (let ((_let_143 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_144 (not _let_25))) (let ((_let_145 (not _let_26))) (let ((_let_146 (and _let_3 _let_26 _let_20 _let_25))) (let ((_let_147 (ASSUME :args (_let_26)))) (let ((_let_148 (ASSUME :args (_let_25)))) (let ((_let_149 (MODUS_PONENS (AND_INTRO _let_131 _let_133 _let_147 _let_148) (SCOPE (TRANS (SYMM (SYMM _let_148)) (CONG _let_133 (SYMM (SYMM _let_147)) :args _let_126) _let_134 _let_132) :args (_let_3 _let_20 _let_26 _let_25))))) (let ((_let_150 (= tptp.xn _let_18))) (let ((_let_151 (not _let_138))) (let ((_let_152 (not _let_150))) (let ((_let_153 (or _let_32 _let_152))) (let ((_let_154 (forall ((W0 $$unsorted)) (or (not (tptp.aNaturalNumber0 W0)) (not (= tptp.xn (tptp.sdtasdt0 tptp.xp W0))))))) (let ((_let_155 (_let_154))) (let ((_let_156 (not _let_21))) (let ((_let_157 (REFL :args (_let_144)))) (let ((_let_158 (REFL :args (_let_156)))) (let ((_let_159 (REFL :args (_let_44)))) (let ((_let_160 (REFL :args (_let_30)))) (let ((_let_161 (REFL :args (_let_145)))) (let ((_let_162 (REFL :args (_let_129)))) (let ((_let_163 (SYMM (TRANS _let_123 _let_131)))) (let ((_let_164 (ASSUME :args (_let_21)))) (let ((_let_165 (SYMM (SYMM _let_164)))) (let ((_let_166 (SYMM (ASSUME :args (_let_139))))) (let ((_let_167 (ASSUME :args (_let_138)))) (let ((_let_168 (ASSUME :args (_let_152)))) (let ((_let_169 (not _let_27))) (let ((_let_170 (ASSUME :args (_let_27)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_164 _let_170 _let_149 _let_122 _let_117 _let_131 _let_115) :args (_let_3 _let_26 _let_19 _let_20 _let_21 _let_23 _let_25 _let_27 _let_68)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_116) (TRUE_INTRO (TRANS (SYMM _let_170) _let_165 (SYMM (TRANS _let_118 _let_123 _let_166 _let_165)) (SYMM (TRANS _let_132 _let_122 _let_117)) _let_163)))) :args (_let_21 _let_27 _let_139 _let_19 _let_23 _let_3 _let_68)) :args ((not (and _let_3 _let_26 _let_19 _let_20 _let_21 _let_23 _let_25 _let_27 _let_68)) SB_LITERAL))) (CONG _let_162 _let_161 _let_160 _let_159 _let_158 _let_113 _let_157 (REFL :args (_let_169)) _let_112 :args _let_38)) :args ((or _let_129 _let_145 _let_30 _let_44 _let_169 _let_24 _let_156 _let_111 _let_144))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_95 _let_91 _let_138 _let_27 _let_140 (not _let_141)))) _let_108 _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_164 _let_167 _let_149 _let_124 _let_131 _let_122 _let_168) :args (_let_3 _let_26 _let_19 _let_20 _let_21 _let_100 _let_25 _let_138 _let_152)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_168)) (TRUE_INTRO (TRANS (SYMM _let_167) _let_165 (SYMM (TRANS _let_125 _let_166 _let_165)) (SYMM (TRANS _let_132 _let_124)) _let_163)))) :args (_let_21 _let_138 _let_139 _let_100 _let_3 _let_19 _let_152)) :args ((not (and _let_3 _let_26 _let_19 _let_20 _let_21 _let_100 _let_25 _let_138 _let_152)) SB_LITERAL))) (CONG _let_162 _let_161 _let_160 _let_159 _let_158 (REFL :args (_let_120)) _let_157 (REFL :args (_let_151)) (MACRO_SR_PRED_INTRO :args ((= (not _let_152) _let_150))) :args _let_38)) :args ((or _let_129 _let_145 _let_30 _let_44 _let_151 _let_150 _let_156 _let_120 _let_144))) _let_29 _let_137 _let_43 _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_153)) :args ((or _let_32 _let_152 (not _let_153)))) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_155) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.aNaturalNumber0 W0) false))))) :args _let_155)) (NOT_NOT_ELIM (NOT_OR_ELIM _let_72 :args _let_107)) :args (_let_153 false _let_154)) :args (_let_152 false _let_31 false _let_153)) _let_56 _let_109 _let_79 :args (_let_151 false _let_3 false _let_26 false _let_19 false _let_20 true _let_150 false _let_21 false _let_100 false _let_25)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_146)) (IMPLIES_ELIM (SCOPE _let_149 :args (_let_3 _let_26 _let_20 _let_25))) :args (true _let_146)) :args ((or _let_129 _let_145 _let_44 _let_139 _let_144))) _let_29 _let_137 _let_51 _let_79 :args (_let_139 false _let_3 false _let_26 false _let_20 false _let_25)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.xn tptp.xm QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.sdtasdt0 W0 W1)))) :args (_let_142))) _let_143 :args (_let_141 false _let_142)) :args (_let_27 false _let_10 false _let_9 true _let_138 false _let_139 false _let_141)) _let_137 _let_79 _let_74 _let_67 _let_56 _let_51 _let_43 _let_29 :args (false false _let_27 false _let_26 false _let_25 true _let_24 false _let_23 false _let_21 false _let_20 false _let_19 false _let_3)) :args ((forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) true)) _let_17 (and (tptp.aNaturalNumber0 tptp.sz10) (not (= tptp.sz10 tptp.sz00))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtpldt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (tptp.aNaturalNumber0 (tptp.sdtasdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W1 W0)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 W0 (tptp.sdtpldt0 W1 W2))))) _let_16 _let_15 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (= (tptp.sdtasdt0 (tptp.sdtasdt0 W0 W1) W2) (tptp.sdtasdt0 W0 (tptp.sdtasdt0 W1 W2))))) _let_14 _let_13 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (and (= (tptp.sdtasdt0 W0 _let_1) (tptp.sdtpldt0 (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2))) (= (tptp.sdtasdt0 _let_1 W0) (tptp.sdtpldt0 (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtpldt0 W0 W1) (tptp.sdtpldt0 W0 W2)) (= (tptp.sdtpldt0 W1 W0) (tptp.sdtpldt0 W2 W0))) (= W1 W2)))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (=> (not (= W0 tptp.sz00)) (forall ((W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (or (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W0 W2)) (= (tptp.sdtasdt0 W1 W0) (tptp.sdtasdt0 W2 W0))) (= W1 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (= (tptp.sdtpldt0 W0 W1) tptp.sz00) (and (= W0 tptp.sz00) (= W1 tptp.sz00))))) _let_12 (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.sdtlseqdt0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1)))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.sdtlseqdt0 W0 W1) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtmndt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= (tptp.sdtpldt0 W0 W2) W1))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (tptp.sdtlseqdt0 W0 W0))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W0)) (= W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.sdtlseqdt0 W0 W1) (tptp.sdtlseqdt0 W1 W2)) (tptp.sdtlseqdt0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (or (tptp.sdtlseqdt0 W0 W1) (and (not (= W1 W0)) (tptp.sdtlseqdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (forall ((W2 $$unsorted)) (let ((_let_1 (tptp.sdtpldt0 W1 W2))) (let ((_let_2 (tptp.sdtpldt0 W0 W2))) (let ((_let_3 (tptp.sdtpldt0 W2 W1))) (let ((_let_4 (tptp.sdtpldt0 W2 W0))) (=> (tptp.aNaturalNumber0 W2) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (let ((_let_1 (tptp.sdtasdt0 W2 W0))) (let ((_let_2 (tptp.sdtasdt0 W1 W0))) (let ((_let_3 (tptp.sdtasdt0 W0 W2))) (let ((_let_4 (tptp.sdtasdt0 W0 W1))) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (not (= W0 tptp.sz00)) (not (= W1 W2)) (tptp.sdtlseqdt0 W1 W2)) (and (not (= _let_4 _let_3)) (tptp.sdtlseqdt0 _let_4 _let_3) (not (= _let_2 _let_1)) (tptp.sdtlseqdt0 _let_2 _let_1))))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (or (= W0 tptp.sz00) (= W0 tptp.sz10) (and (not (= tptp.sz10 W0)) (tptp.sdtlseqdt0 tptp.sz10 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (not (= W0 tptp.sz00)) (tptp.sdtlseqdt0 W1 (tptp.sdtasdt0 W1 W0))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (tptp.iLess0 W0 W1) true))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 W1)) (tptp.sdtlseqdt0 W0 W1)) (tptp.iLess0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (= (tptp.doDivides0 W0 W1) (exists ((W2 $$unsorted)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2))))))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (= (= W2 (tptp.sdtsldt0 W1 W0)) (and (tptp.aNaturalNumber0 W2) (= W1 (tptp.sdtasdt0 W0 W2)))))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W1 W2)) (tptp.doDivides0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W0 W2)) (tptp.doDivides0 W0 (tptp.sdtpldt0 W1 W2))))) (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (tptp.doDivides0 W0 W1) (tptp.doDivides0 W0 (tptp.sdtpldt0 W1 W2))) (tptp.doDivides0 W0 W2)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (tptp.doDivides0 W0 W1) (not (= W1 tptp.sz00))) (tptp.sdtlseqdt0 W0 W1)))) (forall ((W0 $$unsorted) (W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1)) (=> (and (not (= W0 tptp.sz00)) (tptp.doDivides0 W0 W1)) (forall ((W2 $$unsorted)) (=> (tptp.aNaturalNumber0 W2) (= (tptp.sdtasdt0 W2 (tptp.sdtsldt0 W1 W0)) (tptp.sdtsldt0 (tptp.sdtasdt0 W2 W1) W0))))))) (forall ((W0 $$unsorted)) (=> (tptp.aNaturalNumber0 W0) (= (tptp.isPrime0 W0) (and (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10)) (forall ((W1 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W1) (tptp.doDivides0 W1 W0)) (or (= W1 tptp.sz10) (= W1 W0)))))))) (forall ((W0 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (not (= W0 tptp.sz00)) (not (= W0 tptp.sz10))) (exists ((W1 $$unsorted)) (and (tptp.aNaturalNumber0 W1) (tptp.doDivides0 W1 W0) (tptp.isPrime0 W1))))) _let_11 (forall ((W0 $$unsorted) (W1 $$unsorted) (W2 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W0) (tptp.aNaturalNumber0 W1) (tptp.aNaturalNumber0 W2)) (=> (and (or (and (not (= W2 tptp.sz00)) (not (= W2 tptp.sz10)) (forall ((W3 $$unsorted)) (=> (and (tptp.aNaturalNumber0 W3) (exists ((W4 $$unsorted)) (and (tptp.aNaturalNumber0 W4) (= W2 (tptp.sdtasdt0 W3 W4)))) (tptp.doDivides0 W3 W2)) (or (= W3 tptp.sz10) (= W3 W2))))) (tptp.isPrime0 W2)) (or (exists ((W3 $$unsorted)) (and (tptp.aNaturalNumber0 W3) (= (tptp.sdtasdt0 W0 W1) (tptp.sdtasdt0 W2 W3)))) (tptp.doDivides0 W2 (tptp.sdtasdt0 W0 W1)))) (=> (tptp.iLess0 (tptp.sdtpldt0 (tptp.sdtpldt0 W0 W1) W2) (tptp.sdtpldt0 (tptp.sdtpldt0 tptp.xn tptp.xm) tptp.xp)) (or (and (exists ((W3 $$unsorted)) (and (tptp.aNaturalNumber0 W3) (= W0 (tptp.sdtasdt0 W2 W3)))) (tptp.doDivides0 W2 W0)) (and (exists ((W3 $$unsorted)) (and (tptp.aNaturalNumber0 W3) (= W1 (tptp.sdtasdt0 W2 W3)))) (tptp.doDivides0 W2 W1))))))) _let_7 (not (or (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xp W0) tptp.xn))) (tptp.sdtlseqdt0 tptp.xp tptp.xn))) (not (or (exists ((W0 $$unsorted)) (and (tptp.aNaturalNumber0 W0) (= (tptp.sdtpldt0 tptp.xp W0) tptp.xm))) (tptp.sdtlseqdt0 tptp.xp tptp.xm))) _let_6 _let_4 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.66 )
% 0.22/0.66 % SZS output end Proof for NUM498+3
% 0.22/0.66 % cvc5---1.0.5 exiting
% 0.22/0.66 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------