%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU301+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n017.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 16:30:44 EDT 2023

% Result   : Theorem 1.54s 1.76s
% Output   : Proof 1.54s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU301+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n017.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Wed Aug 23 16:49:23 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 1.54/1.76  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.089POARxNw/cvc5---1.0.5_10052.p...
% 1.54/1.76  ------- get file name : TPTP file name is SEU301+1
% 1.54/1.76  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10052.smt2...
% 1.54/1.76  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.54/1.76  % SZS status Theorem for SEU301+1
% 1.54/1.76  % SZS output start Proof for SEU301+1
% 1.54/1.76  (
% 1.54/1.76  (let ((_let_1 (forall ((A $$unsorted)) (=> (tptp.empty A) (= A tptp.empty_set))))) (let ((_let_2 (forall ((A $$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_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))))) (let ((_let_5 (forall ((A $$unsorted)) (tptp.in A (tptp.succ A))))) (let ((_let_6 (=> (forall ((A $$unsorted)) (=> (tptp.ordinal A) (=> (forall ((B $$unsorted)) (=> (tptp.ordinal B) (=> (tptp.in B A) (=> (tptp.in B tptp.omega) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.powerset (tptp.powerset B))) (not (and (not (= C tptp.empty_set)) (forall ((D $$unsorted)) (not (and (tptp.in D C) (forall ((E $$unsorted)) (=> (and (tptp.in E C) (tptp.subset D E)) (= E D)))))))))))))) (=> (tptp.in A tptp.omega) (forall ((F $$unsorted)) (=> (tptp.element F (tptp.powerset (tptp.powerset A))) (not (and (not (= F tptp.empty_set)) (forall ((G $$unsorted)) (not (and (tptp.in G F) (forall ((H $$unsorted)) (=> (and (tptp.in H F) (tptp.subset G H)) (= H G)))))))))))))) (forall ((A $$unsorted)) (=> (tptp.ordinal A) (=> (tptp.in A tptp.omega) (forall ((I $$unsorted)) (=> (tptp.element I (tptp.powerset (tptp.powerset A))) (not (and (not (= I tptp.empty_set)) (forall ((J $$unsorted)) (not (and (tptp.in J I) (forall ((K $$unsorted)) (=> (and (tptp.in K I) (tptp.subset J K)) (= K J)))))))))))))))) (let ((_let_7 (tptp.empty tptp.empty_set))) (let ((_let_8 (tptp.relation_empty_yielding tptp.empty_set))) (let ((_let_9 (tptp.relation tptp.empty_set))) (let ((_let_10 (tptp.empty tptp.omega))) (let ((_let_11 (and (tptp.epsilon_transitive tptp.omega) (tptp.epsilon_connected tptp.omega) (tptp.ordinal tptp.omega) (not _let_10)))) (let ((_let_12 (exists ((A $$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))))) (let ((_let_13 (tptp.in tptp.empty_set tptp.omega))) (let ((_let_14 (not (=> (and (=> _let_13 (forall ((A $$unsorted)) (=> (tptp.element A (tptp.powerset (tptp.powerset tptp.empty_set))) (not (and (not (= A tptp.empty_set)) (forall ((B $$unsorted)) (not (and (tptp.in B A) (forall ((C $$unsorted)) (=> (and (tptp.in C A) (tptp.subset B C)) (= C B))))))))))) (forall ((D $$unsorted)) (=> (tptp.ordinal D) (=> (=> (tptp.in D tptp.omega) (forall ((E $$unsorted)) (=> (tptp.element E (tptp.powerset (tptp.powerset D))) (not (and (not (= E tptp.empty_set)) (forall ((F $$unsorted)) (not (and (tptp.in F E) (forall ((G $$unsorted)) (=> (and (tptp.in G E) (tptp.subset F G)) (= G F))))))))))) (=> (tptp.in (tptp.succ D) tptp.omega) (forall ((H $$unsorted)) (=> (tptp.element H (tptp.powerset (tptp.powerset (tptp.succ D)))) (not (and (not (= H tptp.empty_set)) (forall ((I $$unsorted)) (not (and (tptp.in I H) (forall ((J $$unsorted)) (=> (and (tptp.in J H) (tptp.subset I J)) (= J I)))))))))))))) (forall ((D $$unsorted)) (=> (tptp.ordinal D) (=> (and (tptp.being_limit_ordinal D) (forall ((K $$unsorted)) (=> (tptp.ordinal K) (=> (tptp.in K D) (=> (tptp.in K tptp.omega) (forall ((L $$unsorted)) (=> (tptp.element L (tptp.powerset (tptp.powerset K))) (not (and (not (= L tptp.empty_set)) (forall ((M $$unsorted)) (not (and (tptp.in M L) (forall ((N $$unsorted)) (=> (and (tptp.in N L) (tptp.subset M N)) (= N M))))))))))))))) (or (= D tptp.empty_set) (=> (tptp.in D tptp.omega) (forall ((O $$unsorted)) (=> (tptp.element O (tptp.powerset (tptp.powerset D))) (not (and (not (= O tptp.empty_set)) (forall ((P $$unsorted)) (not (and (tptp.in P O) (forall ((Q $$unsorted)) (=> (and (tptp.in Q O) (tptp.subset P Q)) (= Q P)))))))))))))))) (forall ((D $$unsorted)) (=> (tptp.ordinal D) (=> (tptp.in D tptp.omega) (forall ((R $$unsorted)) (=> (tptp.element R (tptp.powerset (tptp.powerset D))) (not (and (not (= R tptp.empty_set)) (forall ((S $$unsorted)) (not (and (tptp.in S R) (forall ((T $$unsorted)) (=> (and (tptp.in T R) (tptp.subset S T)) (= T S))))))))))))))))) (let ((_let_15 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 (tptp.powerset (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))))) (let ((_let_16 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_17 (tptp.powerset (tptp.powerset tptp.empty_set)))) (let ((_let_18 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 _let_17))) (let ((_let_19 (forall ((G $$unsorted)) (or (not (tptp.in G SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (forall ((H $$unsorted)) (or (not (tptp.in H SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (tptp.subset G H)) (= G H)))))))) (let ((_let_20 (not _let_19))) (let ((_let_21 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_22 (not _let_15))) (let ((_let_23 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 tptp.omega))) (let ((_let_24 (not _let_23))) (let ((_let_25 (forall ((B $$unsorted) (BOUND_VARIABLE_1990 $$unsorted)) (or (not (tptp.ordinal B)) (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) (not (tptp.in B tptp.omega)) (not (tptp.element BOUND_VARIABLE_1990 (tptp.powerset (tptp.powerset B)))) (= tptp.empty_set BOUND_VARIABLE_1990) (not (forall ((D $$unsorted)) (or (not (tptp.in D BOUND_VARIABLE_1990)) (not (forall ((E $$unsorted)) (or (not (tptp.in E BOUND_VARIABLE_1990)) (not (tptp.subset D E)) (= D E))))))))))) (let ((_let_26 (not _let_25))) (let ((_let_27 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26 _let_24 _let_22 _let_21 _let_20))) (let ((_let_30 (forall ((A $$unsorted) (BOUND_VARIABLE_2049 $$unsorted)) (or (not (tptp.ordinal A)) (not (forall ((B $$unsorted) (BOUND_VARIABLE_1990 $$unsorted)) (or (not (tptp.ordinal B)) (not (tptp.in B A)) (not (tptp.in B tptp.omega)) (not (tptp.element BOUND_VARIABLE_1990 (tptp.powerset (tptp.powerset B)))) (= tptp.empty_set BOUND_VARIABLE_1990) (not (forall ((D $$unsorted)) (or (not (tptp.in D BOUND_VARIABLE_1990)) (not (forall ((E $$unsorted)) (or (not (tptp.in E BOUND_VARIABLE_1990)) (not (tptp.subset D E)) (= D E)))))))))) (not (tptp.in A tptp.omega)) (not (tptp.element BOUND_VARIABLE_2049 (tptp.powerset (tptp.powerset A)))) (= tptp.empty_set BOUND_VARIABLE_2049) (not (forall ((G $$unsorted)) (or (not (tptp.in G BOUND_VARIABLE_2049)) (not (forall ((H $$unsorted)) (or (not (tptp.in H BOUND_VARIABLE_2049)) (not (tptp.subset G H)) (= G H))))))))))) (let ((_let_31 (not _let_29))) (let ((_let_32 (forall ((A $$unsorted) (BOUND_VARIABLE_2105 $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.in A tptp.omega)) (not (tptp.element BOUND_VARIABLE_2105 (tptp.powerset (tptp.powerset A)))) (= tptp.empty_set BOUND_VARIABLE_2105) (not (forall ((J $$unsorted)) (or (not (tptp.in J BOUND_VARIABLE_2105)) (not (forall ((K $$unsorted)) (or (not (tptp.in K BOUND_VARIABLE_2105)) (not (tptp.subset J K)) (= J K))))))))))) (let ((_let_33 (not _let_30))) (let ((_let_34 (forall ((D $$unsorted) (BOUND_VARIABLE_1632 $$unsorted)) (or (not (tptp.ordinal D)) (not (tptp.in D tptp.omega)) (not (tptp.element BOUND_VARIABLE_1632 (tptp.powerset (tptp.powerset D)))) (= tptp.empty_set BOUND_VARIABLE_1632) (not (forall ((S $$unsorted)) (or (not (tptp.in S BOUND_VARIABLE_1632)) (not (forall ((T $$unsorted)) (or (not (tptp.in T BOUND_VARIABLE_1632)) (not (tptp.subset S T)) (= S T))))))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_14)) (MACRO_SR_EQ_INTRO :args (_let_14 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (or))) (let ((_let_37 (_let_33))) (let ((_let_38 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_37)) :args _let_37)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_33) _let_30))) (REFL :args (_let_31)) :args _let_36)) (MACRO_RESOLUTION_TRUST (REORDERING (IMPLIES_ELIM (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT)))) :args ((or _let_32 _let_33))) (MACRO_RESOLUTION_TRUST (EQUIV_ELIM2 (ALPHA_EQUIV :args (_let_34 (= BOUND_VARIABLE_1632 BOUND_VARIABLE_2105) (= S J) (= T K) (= D A)))) (NOT_IMPLIES_ELIM2 _let_35) :args ((not _let_32) true _let_34)) :args (_let_33 true _let_32)) :args (_let_31 true _let_30)))) (let ((_let_39 (REFL :args (_let_29)))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 3)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_22) _let_15))) :args _let_36)) :args ((or _let_15 _let_29))) _let_38 :args (_let_15 true _let_29)))) (let ((_let_41 (forall ((P $$unsorted)) (or (not (tptp.in P SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (forall ((Q $$unsorted)) (or (not (tptp.in Q SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (tptp.subset P Q)) (= P Q)))))))) (let ((_let_42 (not _let_41))) (let ((_let_43 (forall ((K $$unsorted) (BOUND_VARIABLE_1509 $$unsorted)) (or (not (tptp.ordinal K)) (not (tptp.in K SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)) (not (tptp.in K tptp.omega)) (not (tptp.element BOUND_VARIABLE_1509 (tptp.powerset (tptp.powerset K)))) (= tptp.empty_set BOUND_VARIABLE_1509) (not (forall ((M $$unsorted)) (or (not (tptp.in M BOUND_VARIABLE_1509)) (not (forall ((N $$unsorted)) (or (not (tptp.in N BOUND_VARIABLE_1509)) (not (tptp.subset M N)) (= M N))))))))))) (let ((_let_44 (not _let_43))) (let ((_let_45 (tptp.being_limit_ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_28 _let_46 _let_44 _let_16 _let_24 _let_22 _let_21 _let_42))) (let ((_let_48 (forall ((D $$unsorted) (BOUND_VARIABLE_1575 $$unsorted)) (or (not (tptp.ordinal D)) (not (tptp.being_limit_ordinal D)) (not (forall ((K $$unsorted) (BOUND_VARIABLE_1509 $$unsorted)) (or (not (tptp.ordinal K)) (not (tptp.in K D)) (not (tptp.in K tptp.omega)) (not (tptp.element BOUND_VARIABLE_1509 (tptp.powerset (tptp.powerset K)))) (= tptp.empty_set BOUND_VARIABLE_1509) (not (forall ((M $$unsorted)) (or (not (tptp.in M BOUND_VARIABLE_1509)) (not (forall ((N $$unsorted)) (or (not (tptp.in N BOUND_VARIABLE_1509)) (not (tptp.subset M N)) (= M N)))))))))) (= tptp.empty_set D) (not (tptp.in D tptp.omega)) (not (tptp.element BOUND_VARIABLE_1575 (tptp.powerset (tptp.powerset D)))) (= tptp.empty_set BOUND_VARIABLE_1575) (not (forall ((P $$unsorted)) (or (not (tptp.in P BOUND_VARIABLE_1575)) (not (forall ((Q $$unsorted)) (or (not (tptp.in Q BOUND_VARIABLE_1575)) (not (tptp.subset P Q)) (= P Q))))))))))) (let ((_let_49 (NOT_IMPLIES_ELIM1 _let_35))) (let ((_let_50 (_let_48))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 5)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_36)) :args ((or _let_19 _let_29))) _let_38 :args (_let_19 true _let_29)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 1)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_36)) :args ((or _let_25 _let_29))) _let_38 :args (_let_25 true _let_29)))) (let ((_let_53 (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (= (tptp.succ B) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19)))))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_45 _let_54))) (let ((_let_56 (and _let_55 (or _let_46 _let_28 (not (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))))))) (let ((_let_57 (or _let_28 _let_56))) (let ((_let_58 (forall ((A $$unsorted) (BOUND_VARIABLE_2180 $$unsorted)) (let ((_let_1 (tptp.being_limit_ordinal A))) (or (not (tptp.ordinal A)) (and (or _let_1 (not (forall ((B $$unsorted)) (or (not (tptp.ordinal B)) (not (= A (tptp.succ B))))))) (or (not _let_1) (not (tptp.ordinal BOUND_VARIABLE_2180)) (not (= A (tptp.succ BOUND_VARIABLE_2180)))))))))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_36)) :args ((or _let_27 _let_29))) _let_38 :args (_let_27 true _let_29)))) (let ((_let_61 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_62 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19 _let_61))) (let ((_let_63 (not _let_62))) (let ((_let_64 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 _let_61))) (let ((_let_68 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_19))) (let ((_let_69 (tptp.in _let_61 tptp.omega))) (let ((_let_70 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 (tptp.powerset (tptp.powerset _let_61))))) (let ((_let_71 (forall ((I $$unsorted)) (or (not (tptp.in I SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (forall ((J $$unsorted)) (or (not (tptp.in J SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)) (not (tptp.subset I J)) (= I J)))))))) (let ((_let_72 (not _let_71))) (let ((_let_73 (not _let_70))) (let ((_let_74 (not _let_69))) (let ((_let_75 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.powerset (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36)))) (= tptp.empty_set E) (not (forall ((F $$unsorted)) (or (not (tptp.in F E)) (not (forall ((G $$unsorted)) (or (not (tptp.in G E)) (not (tptp.subset F G)) (= F G))))))))))) (let ((_let_76 (not _let_75))) (let ((_let_77 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 tptp.omega))) (let ((_let_78 (and _let_77 _let_76))) (let ((_let_79 (or _let_65 _let_78 _let_74 _let_73 _let_21 _let_72))) (let ((_let_80 (forall ((F $$unsorted)) (or (not (tptp.in F SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)) (not (forall ((G $$unsorted)) (or (not (tptp.in G SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)) (not (tptp.subset F G)) (= F G)))))))) (let ((_let_81 (not _let_80))) (let ((_let_82 (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83))) (let ((_let_83 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83 (tptp.powerset (tptp.powerset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36))))) (let ((_let_84 (not _let_83))) (let ((_let_85 (or _let_84 _let_82 _let_81))) (let ((_let_86 (forall ((D $$unsorted)) (or (not (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)) (not (forall ((E $$unsorted)) (or (not (tptp.in E SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_83)) (not (tptp.subset D E)) (= D E)))))))) (let ((_let_87 (not _let_86))) (let ((_let_88 (not _let_77))) (let ((_let_89 (not _let_68))) (let ((_let_90 (or _let_65 _let_89 _let_88 _let_84 _let_82 _let_87))) (let ((_let_91 (REFL :args (_let_66)))) (let ((_let_92 (_let_5))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (and _let_62 _let_67))) (let ((_let_95 (ASSUME :args (_let_67)))) (let ((_let_96 (APPLY_UF tptp.in))) (let ((_let_97 (ASSUME :args (_let_62)))) (let ((_let_98 (SYMM _let_97))) (let ((_let_99 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 2)) (CONG _let_39 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_36)) :args ((or _let_23 _let_29))) _let_38 :args (_let_23 true _let_29)))) (let ((_let_100 (and _let_23 _let_62))) (let ((_let_101 (_let_23 _let_62))) (let ((_let_102 (ASSUME :args (_let_23)))) (let ((_let_103 (REFL :args (tptp.omega)))) (let ((_let_104 (and _let_15 _let_62))) (let ((_let_105 (_let_15 _let_62))) (let ((_let_106 (ASSUME :args (_let_15)))) (let ((_let_107 (TRUE_INTRO _let_106))) (let ((_let_108 (APPLY_UF tptp.element))) (let ((_let_109 (APPLY_UF tptp.powerset))) (let ((_let_110 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20)))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_29 4)) _let_38 :args ((not _let_21) true _let_29)))) (let ((_let_112 (forall ((D $$unsorted) (BOUND_VARIABLE_1450 $$unsorted)) (let ((_let_1 (tptp.succ D))) (or (not (tptp.ordinal D)) (and 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(tptp.powerset A)) (tptp.finite B))))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.finite A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (forall ((A $$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)))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A) (tptp.being_limit_ordinal A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.ordinal A))) (=> (and (tptp.empty A) _let_1) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) _let_1 (tptp.natural A))))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A) (tptp.natural A))) (forall ((A $$unsorted)) (let ((_let_1 (tptp.succ A))) (=> (and (tptp.ordinal A) (tptp.natural A)) (and (not (tptp.empty _let_1)) (tptp.epsilon_transitive _let_1) (tptp.epsilon_connected _let_1) (tptp.ordinal _let_1) (tptp.natural _let_1))))) (forall ((A $$unsorted)) (=> (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)) (tptp.ordinal A))) (exists ((A $$unsorted)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) _let_12 (forall ((A $$unsorted)) (=> (tptp.empty A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A)))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (tptp.empty A)) (exists ((A $$unsorted)) (not (tptp.empty A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) true true true true true _let_11 (and _let_7 _let_9) (and _let_7 _let_9 _let_8) (forall ((A $$unsorted)) (=> (tptp.ordinal A) (forall ((B $$unsorted)) (=> (tptp.element B A) (and (tptp.epsilon_transitive B) (tptp.epsilon_connected B) (tptp.ordinal B)))))) (forall ((A $$unsorted)) (=> (tptp.element A tptp.omega) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A) (tptp.ordinal A) (tptp.natural A)))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.succ A)))) (forall ((A $$unsorted)) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))) (and _let_9 _let_8 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) _let_7 (tptp.epsilon_transitive tptp.empty_set) (tptp.epsilon_connected tptp.empty_set) (tptp.ordinal tptp.empty_set)) (forall ((A $$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))))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) _let_7 _let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A B) (tptp.set_union2 B A))) (forall ((A $$unsorted)) (= (tptp.succ A) (tptp.set_union2 A (tptp.singleton A)))) true true (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.singleton A)))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 A B))))) (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A A) A)) _let_5 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) _let_4 _let_3 _let_2 _let_1 (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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.54/1.77  )
% 1.54/1.77  % SZS output end Proof for SEU301+1
% 1.54/1.77  % cvc5---1.0.5 exiting
% 1.54/1.78  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------