TSTP Solution File: SEU238+1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SEU238+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n027.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 16:30:18 EDT 2023
% Result : Theorem 0.81s 1.02s
% Output : Proof 0.81s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU238+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n027.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 : Wed Aug 23 13:02:31 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.81/1.02 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.0UvIKSFKc4/cvc5---1.0.5_18279.p...
% 0.81/1.02 ------- get file name : TPTP file name is SEU238+1
% 0.81/1.02 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_18279.smt2...
% 0.81/1.02 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.81/1.02 % SZS status Theorem for SEU238+1
% 0.81/1.02 % SZS output start Proof for SEU238+1
% 0.81/1.02 (
% 0.81/1.02 (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 $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))))) (let ((_let_13 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_14 (tptp.ordinal_subset _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_15 (tptp.subset _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_16 (= _let_14 _let_15))) (let ((_let_17 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_18 (= _let_17 _let_14))) (let ((_let_19 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_20 (not _let_19))) (let ((_let_21 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28))) (let ((_let_22 (not _let_21))) (let ((_let_23 (or _let_22 _let_20 _let_18))) (let ((_let_24 (forall ((A $$unsorted) (BOUND_VARIABLE_1278 $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal BOUND_VARIABLE_1278)) (= (tptp.in A BOUND_VARIABLE_1278) (tptp.ordinal_subset (tptp.succ A) BOUND_VARIABLE_1278)))))) (let ((_let_25 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_26 (tptp.in _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_27 (not _let_17))) (let ((_let_28 (or _let_22 _let_27 _let_26))) (let ((_let_29 (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) (tptp.in (tptp.succ B) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))))) (let ((_let_30 (not _let_28))) (let ((_let_31 (tptp.being_limit_ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_32 (= _let_31 _let_29))) (let ((_let_33 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_34 (tptp.in _let_33 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_35 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_34))) (let ((_let_40 (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (= (tptp.succ B) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)))))) (let ((_let_41 (not _let_40))) (let ((_let_42 (or _let_31 _let_41))) (let ((_let_43 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_33))) (let ((_let_44 (not _let_43))) (let ((_let_45 (not _let_31))) (let ((_let_46 (or _let_45 _let_38 _let_44))) (let ((_let_47 (and _let_42 _let_46))) (let ((_let_48 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_33))) (let ((_let_49 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_50 (not _let_29))) (let ((_let_51 (or _let_20 _let_32))) (let ((_let_52 (forall ((A $$unsorted)) (or (not (tptp.ordinal A)) (= (tptp.being_limit_ordinal A) (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (tptp.in B A)) (tptp.in (tptp.succ B) A)))))))) (let ((_let_53 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_54 (or _let_20 _let_47))) (let ((_let_55 (forall ((A $$unsorted) (BOUND_VARIABLE_1329 $$unsorted)) (let ((_let_1 (tptp.being_limit_ordinal A))) (or (not (tptp.ordinal A)) (and (or _let_1 (not (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (= A (tptp.succ B))))))) (or (not _let_1) (not (tptp.ordinal BOUND_VARIABLE_1329)) (not (= A (tptp.succ BOUND_VARIABLE_1329)))))))))) (let ((_let_56 (not _let_54))) (let ((_let_57 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_58 (or))) (let ((_let_59 (not _let_55))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE _let_57) :args (_let_59)) (REWRITE :args ((=> _let_59 (not (or _let_20 (and (or _let_31 (not (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 (tptp.succ B))))))) _let_46)))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_59) _let_55))) (REFL :args (_let_56)) :args _let_58)) _let_57 :args (_let_56 true _let_55)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_54 0)) (CONG (REFL :args (_let_54)) (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_58)) :args ((or _let_19 _let_54))) _let_60 :args (_let_19 true _let_54)))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_20 _let_32 (not _let_51)))) _let_61 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal A) false))))) :args (_let_52))) _let_53 :args (_let_51 false _let_52)) :args (_let_32 false _let_19 false _let_51)))) (let ((_let_63 (not _let_32))) (let ((_let_64 (_let_32))) (let ((_let_65 (_let_29))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_54 1)) _let_60 :args ((not _let_47) true _let_54)))) (let ((_let_67 (CNF_AND_NEG :args (_let_47)))) (let ((_let_68 (REFL :args (_let_46)))) (let ((_let_69 (_let_5))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 (and _let_43 _let_48))) (let ((_let_72 (ASSUME :args (_let_48)))) (let ((_let_73 (APPLY_UF tptp.in))) (let ((_let_74 (ASSUME :args (_let_43)))) (let ((_let_75 (SYMM _let_74))) (let ((_let_76 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.in A B)) (not (tptp.in B A)))))) (let ((_let_77 (not _let_49))) (let ((_let_78 (EQ_RESOLVE (ASSUME :args (_let_12)) (MACRO_SR_EQ_INTRO :args (_let_12 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_79 (and _let_43 _let_77))) (let ((_let_80 (ASSUME :args (_let_77)))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_38 _let_36 _let_34 (not _let_39)))) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_79)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_80 _let_74) (SCOPE (FALSE_ELIM (TRANS (CONG _let_75 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) :args _let_73) (FALSE_INTRO _let_80))) :args (_let_77 _let_43))) :args (_let_43 _let_77))) :args (true _let_79)) (CONG (REFL :args (_let_44)) (MACRO_SR_PRED_INTRO :args ((= (not _let_77) _let_49))) (REFL :args ((not _let_34))) :args _let_58)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_78 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A B) false))))) :args (_let_76)))) _let_78 :args (_let_77 false _let_76)) (RESOLUTION (CNF_AND_NEG :args (_let_71)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_72 _let_74) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (SYMM _let_75) :args _let_73) (TRUE_INTRO _let_72))) :args (_let_48 _let_43))) :args (_let_43 _let_48))) :args (true _let_71)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.succ A)))) :args _let_69)) _let_70 :args (_let_48 false _let_5)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 2)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_58)) :args ((or _let_43 _let_46))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 1)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_58)) :args ((or _let_37 _let_46))) _let_67 _let_66 (REORDERING (CNF_OR_NEG :args (_let_42 0)) :args ((or _let_45 _let_42))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_65) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal B) false))))) :args _let_65)) (REORDERING (CNF_EQUIV_POS2 :args _let_64) :args ((or _let_31 _let_50 _let_63))) _let_62 :args (_let_50 true _let_34 true _let_49 false _let_35 false _let_48 false _let_43 false _let_37 true _let_46 true _let_47 false _let_42 false _let_39 false _let_31 false _let_32)))) (let ((_let_82 (_let_50))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_82)) :args _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_50) _let_29))) (REFL :args (_let_30)) :args _let_58)) _let_81 :args (_let_30 true _let_29)))) (let ((_let_84 (REFL :args (_let_28)))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_21))) :args _let_58)) :args ((or _let_21 _let_28))) _let_83 :args (_let_21 true _let_28)))) (let ((_let_86 (tptp.ordinal _let_13))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_87 _let_20 _let_16))) (let ((_let_89 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal B)) (= (tptp.ordinal_subset A B) (tptp.subset A B)))))) (let ((_let_90 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_91 (tptp.epsilon_transitive _let_13))) (let ((_let_92 (and (not (tptp.empty _let_13)) _let_91 (tptp.epsilon_connected _let_13) _let_86))) (let ((_let_93 (or _let_22 _let_92))) (let ((_let_94 (forall ((A $$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_95 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_93)) :args ((or _let_22 _let_92 (not _let_93)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.succ A)))) :args (_let_94))) _let_95 :args (_let_93 false _let_94)) :args (_let_92 false _let_21 false _let_93)))) (let ((_let_97 (not _let_92))) (let ((_let_98 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 _let_13))) (let ((_let_99 (not _let_98))) (let ((_let_100 (and _let_15 _let_99))) (let ((_let_101 (not _let_15))) (let ((_let_102 (tptp.proper_subset _let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_103 (= _let_102 _let_100))) (let ((_let_104 (not _let_100))) (let ((_let_105 (_let_11))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 (not _let_102))) (let ((_let_108 (not _let_91))) (let ((_let_109 (or _let_108 _let_20 _let_107 _let_26))) (let ((_let_110 (forall ((A $$unsorted) (BOUND_VARIABLE_1252 $$unsorted)) (or (not (tptp.epsilon_transitive A)) (not (tptp.ordinal BOUND_VARIABLE_1252)) (not (tptp.proper_subset A BOUND_VARIABLE_1252)) (tptp.in A BOUND_VARIABLE_1252))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (or _let_22 _let_99))) (let ((_let_113 (_let_40))) (let ((_let_114 (_let_100))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_16)) :args ((or (not _let_14) _let_15 (not _let_16)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_114) (CONG (REFL :args _let_114) (REFL :args (_let_101)) (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) :args _let_58)) :args ((or _let_98 _let_100 _let_101))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_22 _let_99 (not _let_112)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_113) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal B) false))))) :args _let_113))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG (REFL :args (_let_42)) (MACRO_SR_PRED_INTRO :args ((= (not _let_41) _let_40))) :args _let_58)) :args ((or _let_40 _let_42))) (MACRO_RESOLUTION_TRUST _let_67 _let_66 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_46 0)) (CONG _let_68 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_31))) :args _let_58)) :args ((or _let_31 _let_46))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_64) :args ((or _let_45 _let_29 _let_63))) _let_81 _let_62 :args (_let_45 true _let_29 false _let_32)) :args (_let_46 true _let_31)) :args ((not _let_42) true _let_47 false _let_46)) :args (_let_40 true _let_42)) :args (_let_112 false _let_40)) :args (_let_99 false _let_21 false _let_112)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_103)) :args ((or _let_102 _let_104 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_20 _let_26 _let_108 _let_107 (not _let_109)))) _let_61 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_28 2)) _let_83 :args ((not _let_26) true _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_92 1)) :args ((or _let_91 _let_97))) _let_96 :args (_let_91 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in A BOUND_VARIABLE_1252) true))))) :args (_let_110))) _let_111 :args (_let_109 false _let_110)) :args (_let_107 false _let_19 true _let_26 false _let_91 false _let_109)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.proper_subset A B)))) :args _let_105))) _let_106 :args (_let_103 false _let_11)) :args (_let_104 true _let_102 false _let_103)) :args (_let_101 true _let_98 true _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_20 _let_87 _let_16 (not _let_88)))) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_92 3)) :args ((or _let_86 _let_97))) _let_96 :args (_let_86 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordinal_subset A B)))) :args (_let_89))) _let_90 :args (_let_88 false _let_89)) :args (_let_16 false _let_19 false _let_86 false _let_88)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_18)) :args ((or _let_27 _let_14 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 1)) (CONG _let_84 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_17))) :args _let_58)) :args ((or _let_17 _let_28))) _let_83 :args (_let_17 true _let_28)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_20 _let_22 _let_18 (not _let_23)))) _let_61 _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.in A BOUND_VARIABLE_1278)))) :args (_let_24))) _let_25 :args (_let_23 false _let_24)) :args (_let_18 false _let_19 false _let_21 false _let_23)) :args (_let_14 false _let_17 false _let_18)) :args (false true _let_15 false _let_16 false _let_14)) :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 $$unsorted)) (= (tptp.succ A) (tptp.set_union2 A (tptp.singleton A)))) _let_11 true true true true true true (forall ((A $$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))) _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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.81/1.03 )
% 0.81/1.03 % SZS output end Proof for SEU238+1
% 0.81/1.03 % cvc5---1.0.5 exiting
% 0.81/1.03 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------