TSTP Solution File: SEU238+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU238+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n019.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 16:30:19 EDT 2023
% Result : Theorem 0.85s 1.05s
% Output : Proof 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU238+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : do_cvc5 %s %d
% 0.14/0.36 % Computer : n019.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
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Aug 23 15:50:29 EDT 2023
% 0.14/0.37 % CPUTime :
% 0.22/0.51 %----Proving TF0_NAR, FOF, or CNF
% 0.85/1.05 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.pIBT1YyXYJ/cvc5---1.0.5_6911.p...
% 0.85/1.05 ------- get file name : TPTP file name is SEU238+3
% 0.85/1.05 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6911.smt2...
% 0.85/1.05 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.85/1.05 % SZS status Theorem for SEU238+3
% 0.85/1.05 % SZS output start Proof for SEU238+3
% 0.85/1.05 (
% 0.85/1.05 (let ((_let_1 (not (forall ((A $$unsorted)) (let ((_let_1 (tptp.being_limit_ordinal A))) (=> (tptp.ordinal A) (and (not (and (not _let_1) (forall ((B $$unsorted)) (=> (tptp.ordinal B) (not (= A (tptp.succ B))))))) (not (and (exists ((B $$unsorted)) (and (tptp.ordinal B) (= A (tptp.succ B)))) _let_1))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.ordinal A) (= (tptp.being_limit_ordinal A) (forall ((B $$unsorted)) (=> (tptp.ordinal B) (=> (tptp.in B A) (tptp.in (tptp.succ B) A))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.ordinal A) (forall ((B $$unsorted)) (=> (tptp.ordinal B) (= (tptp.in A B) (tptp.ordinal_subset (tptp.succ A) B)))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.epsilon_transitive A) (forall ((B $$unsorted)) (=> (tptp.ordinal B) (=> (tptp.proper_subset A B) (tptp.in A B)))))))) (let ((_let_5 (forall ((A $$unsorted)) (tptp.in A (tptp.succ A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (= (tptp.ordinal_subset A B) (tptp.subset A B)))))) (let ((_let_7 (tptp.relation tptp.empty_set))) (let ((_let_8 (tptp.empty tptp.empty_set))) (let ((_let_9 (forall ((A $$unsorted)) (let ((_let_1 (tptp.succ A))) (=> (tptp.ordinal A) (and (not (tptp.empty _let_1)) (tptp.epsilon_transitive _let_1) (tptp.epsilon_connected _let_1) (tptp.ordinal _let_1))))))) (let ((_let_10 (tptp.relation_empty_yielding tptp.empty_set))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.proper_subset A B) (and (tptp.subset A B) (not (= A B))))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))))) (let ((_let_13 (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (= (tptp.succ B) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.being_limit_ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_16 (or _let_15 _let_14))) (let ((_let_17 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_18 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_17))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_15))) (let ((_let_23 (or _let_22 _let_21 _let_19))) (let ((_let_24 (and _let_16 _let_23))) (let ((_let_25 (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (tptp.in (tptp.succ B) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))))) (let ((_let_26 (= _let_15 _let_25))) (let ((_let_27 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26))) (let ((_let_30 (forall ((A $$unsorted)) (or (not (tptp.ordinal A)) (= (tptp.being_limit_ordinal A) (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (tptp.in B A)) (tptp.in (tptp.succ B) A)))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (or _let_28 _let_24))) (let ((_let_33 (forall ((A $$unsorted) (BOUND_VARIABLE_1347 $$unsorted)) (let ((_let_1 (tptp.being_limit_ordinal A))) (or (not (tptp.ordinal A)) (and (or _let_1 (not (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (= A (tptp.succ B))))))) (or (not _let_1) (not (tptp.ordinal BOUND_VARIABLE_1347)) (not (= A (tptp.succ BOUND_VARIABLE_1347)))))))))) (let ((_let_34 (not _let_32))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (or))) (let ((_let_37 (not _let_33))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_35) :args (_let_37)) (REWRITE :args ((=> _let_37 (not (or _let_28 (and (or _let_15 (not (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 (tptp.succ B))))))) _let_23)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_33))) (REFL :args (_let_34)) :args _let_36)) _let_35 :args (_let_34 true _let_33)))) (let ((_let_39 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_32 0)) (CONG (REFL :args (_let_32)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_36)) :args ((or _let_27 _let_32))) _let_38 :args (_let_27 true _let_32)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_29)) :args ((or _let_28 _let_26 (not _let_29)))) _let_39 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal A) false))))) :args (_let_30))) _let_31 :args (_let_29 false _let_30)) :args (_let_26 false _let_27 false _let_29)))) (let ((_let_41 (tptp.in _let_17 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_42 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_43 (not _let_42))) (let ((_let_44 (or _let_21 _let_43 _let_41))) (let ((_let_45 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_17))) (let ((_let_46 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_47 (not _let_25))) (let ((_let_48 (not _let_26))) (let ((_let_49 (_let_26))) (let ((_let_50 (_let_25))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_32 1)) _let_38 :args ((not _let_24) true _let_32)))) (let ((_let_52 (CNF_AND_NEG :args (_let_24)))) (let ((_let_53 (REFL :args (_let_23)))) (let ((_let_54 (_let_5))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (and _let_18 _let_45))) (let ((_let_57 (ASSUME :args (_let_45)))) (let ((_let_58 (APPLY_UF tptp.in))) (let ((_let_59 (ASSUME :args (_let_18)))) (let ((_let_60 (SYMM _let_59))) (let ((_let_61 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (not (tptp.in B A)))))) (let ((_let_62 (not _let_46))) (let ((_let_63 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_64 (and _let_18 _let_62))) (let ((_let_65 (ASSUME :args (_let_62)))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_21 _let_43 _let_41 (not _let_44)))) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_64)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_65 _let_59) (SCOPE (FALSE_ELIM (TRANS (CONG _let_60 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) :args _let_58) (FALSE_INTRO _let_65))) :args (_let_62 _let_18))) :args (_let_18 _let_62))) :args (true _let_64)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_46))) (REFL :args ((not _let_41))) :args _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_63 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) false))))) :args (_let_61)))) _let_63 :args (_let_62 false _let_61)) (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_59) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) (SYMM _let_60) :args _let_58) (TRUE_INTRO _let_57))) :args (_let_45 _let_18))) :args (_let_18 _let_45))) :args (true _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.succ A)))) :args _let_54)) _let_55 :args (_let_45 false _let_5)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 2)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_36)) :args ((or _let_18 _let_23))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 1)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_36)) :args ((or _let_20 _let_23))) _let_52 _let_51 (REORDERING (CNF_OR_NEG :args (_let_16 0)) :args ((or _let_22 _let_16))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_50) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal B) false))))) :args _let_50)) (REORDERING (CNF_EQUIV_POS2 :args _let_49) :args ((or _let_15 _let_47 _let_48))) _let_40 :args (_let_47 true _let_41 true _let_46 false _let_42 false _let_45 false _let_18 false _let_20 true _let_23 true _let_24 false _let_16 false _let_44 false _let_15 false _let_26)))) (let ((_let_67 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_68 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_67))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69))) (let ((_let_73 (tptp.in _let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_74 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_71 _let_75 _let_73))) (let ((_let_77 (not _let_72))) (let ((_let_78 (not _let_76))) (let ((_let_79 (_let_47))) (let ((_let_80 (tptp.subset _let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_81 (tptp.ordinal_subset _let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_82 (= _let_81 _let_80))) (let ((_let_83 (tptp.ordinal _let_67))) (let ((_let_84 (tptp.epsilon_transitive _let_67))) (let ((_let_85 (and (not (tptp.empty _let_67)) _let_84 (tptp.epsilon_connected _let_67) _let_83))) (let ((_let_86 (or _let_71 _let_85))) (let ((_let_87 (not _let_83))) (let ((_let_88 (or _let_87 _let_28 _let_82))) (let ((_let_89 (REFL :args (_let_76)))) (let ((_let_90 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 0)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_71) _let_70))) :args _let_36)) :args ((or _let_70 _let_76))))) (let ((_let_91 (= _let_74 _let_81))) (let ((_let_92 (or _let_71 _let_28 _let_91))) (let ((_let_93 (tptp.proper_subset _let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_94 (not _let_93))) (let ((_let_95 (not _let_84))) (let ((_let_96 (or _let_95 _let_28 _let_94 _let_73))) (let ((_let_97 (and _let_80 _let_69))) (let ((_let_98 (= _let_93 _let_97))) (let ((_let_99 (not _let_82))) (let ((_let_100 (forall ((A $$unsorted)) (let ((_let_1 (tptp.succ A))) (or (not (tptp.ordinal A)) (and (not (tptp.empty _let_1)) (tptp.epsilon_transitive _let_1) (tptp.epsilon_connected _let_1) (tptp.ordinal _let_1))))))) (let ((_let_101 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_102 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_101 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.succ A)))) :args (_let_100))) _let_101 :args (_let_86 false _let_100)))) (let ((_let_103 (REORDERING (CNF_OR_POS :args (_let_86)) :args ((or _let_71 _let_85 (not _let_86)))))) (let ((_let_104 (forall ((A $$unsorted) (BOUND_VARIABLE_1296 $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal BOUND_VARIABLE_1296)) (= (tptp.in A BOUND_VARIABLE_1296) (tptp.ordinal_subset (tptp.succ A) BOUND_VARIABLE_1296)))))) (let ((_let_105 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_106 (not _let_85))) (let ((_let_107 (forall ((A $$unsorted) (BOUND_VARIABLE_1270 $$unsorted)) (or (not (tptp.epsilon_transitive A)) (not (tptp.ordinal BOUND_VARIABLE_1270)) (not (tptp.proper_subset A BOUND_VARIABLE_1270)) (tptp.in A BOUND_VARIABLE_1270))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_11))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (not _let_80))) (let ((_let_112 (_let_97))) (let ((_let_113 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal B)) (= (tptp.ordinal_subset A B) (tptp.subset A B)))))) (let ((_let_114 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_115 (_let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_16 1)) (CONG (REFL :args (_let_16)) (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_36)) :args ((or _let_13 _let_16))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_115) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal B) false))))) :args _let_115))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_85 3)) :args ((or _let_83 _let_106))) (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_28 _let_87 _let_82 (not _let_88)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordinal_subset A B)))) :args (_let_113))) _let_114 :args (_let_88 false _let_113)) _let_39 _let_103 _let_102 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_112) (CONG (REFL :args _let_112) (REFL :args (_let_111)) (MACRO_SR_PRED_INTRO :args ((= (not _let_69) _let_68))) :args _let_36)) :args ((or _let_68 _let_97 _let_111))) (REORDERING (CNF_EQUIV_POS2 :args (_let_98)) :args ((or _let_93 (not _let_97) (not _let_98)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.proper_subset A B)))) :args _let_109))) _let_110 :args (_let_98 false _let_11)) (REORDERING (CNF_EQUIV_POS1 :args (_let_82)) :args ((or (not _let_81) _let_80 _let_99))) (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_28 _let_73 _let_95 _let_94 (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (_let_67 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A BOUND_VARIABLE_1270) true))))) :args (_let_107))) _let_108 :args (_let_96 false _let_107)) _let_39 (REORDERING (CNF_EQUIV_POS1 :args (_let_91)) :args ((or _let_75 _let_81 (not _let_91)))) (REORDERING (CNF_AND_POS :args (_let_85 1)) :args ((or _let_84 _let_106))) (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_69 _let_77))) (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_28 _let_71 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_29 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in A BOUND_VARIABLE_1296)))) :args (_let_104))) _let_105 :args (_let_92 false _let_104)) _let_39 _let_103 _let_102 (CNF_OR_NEG :args (_let_76 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 1)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_36)) :args ((or _let_74 _let_76))) _let_90 :args ((or _let_76 _let_77 _let_99) true _let_97 false _let_98 false _let_80 true _let_93 false _let_96 false _let_27 false _let_81 false _let_84 true _let_68 false _let_91 false _let_92 false _let_27 false _let_85 false _let_86 true _let_73 false _let_74 false _let_70)) _let_90 :args ((or _let_76 _let_77) true _let_83 false _let_88 false _let_27 false _let_85 false _let_86 true _let_82 false _let_70)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_79)) :args _let_79)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_25))) (REFL :args (_let_78)) :args _let_36)) _let_66 :args (_let_78 true _let_25)) :args (_let_77 true _let_76)) :args (_let_14 true _let_72)) (MACRO_RESOLUTION_TRUST _let_52 _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_23 0)) (CONG _let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_15))) :args _let_36)) :args ((or _let_15 _let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_49) :args ((or _let_22 _let_25 _let_48))) _let_66 _let_40 :args (_let_22 true _let_25 false _let_26)) :args (_let_23 true _let_15)) :args ((not _let_16) true _let_24 false _let_23)) :args (false true _let_13 true _let_16)) :args (_let_12 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.proper_subset A B) (not (tptp.proper_subset B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.function A))) (let ((_let_2 (tptp.relation A))) (=> (and _let_2 (tptp.empty A) _let_1) (and _let_2 _let_1 (tptp.one_to_one A)))))) (forall ((A $$unsorted)) (=> (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)) (tptp.ordinal A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A)))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (or (tptp.ordinal_subset A B) (tptp.ordinal_subset B A)))) (forall ((A $$unsorted)) (= (tptp.succ A) (tptp.set_union2 A (tptp.singleton A)))) _let_11 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_8 _let_7 _let_10) (forall ((A $$unsorted)) (not (tptp.empty (tptp.succ A)))) _let_8 (and _let_7 _let_10 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) _let_8 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.relation A) (tptp.relation B)) (tptp.relation (tptp.set_union2 A B)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) _let_9 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (and _let_8 _let_7) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) (forall ((A $$unsorted) (B $$unsorted)) (not (tptp.proper_subset A A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A) (tptp.empty A) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (not (tptp.empty A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_non_empty A) (tptp.function A))) _let_6 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (tptp.ordinal_subset A A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_5 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.in A B) (tptp.empty B)))) (forall ((A $$unsorted) (B $$unsorted)) (not (and (tptp.empty A) (not (= A B)) (tptp.empty B)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.85/1.06 )
% 0.85/1.06 % SZS output end Proof for SEU238+3
% 0.85/1.06 % cvc5---1.0.5 exiting
% 0.85/1.06 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------