%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU236+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n026.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 25.56s 25.87s
% Output   : Proof 25.72s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU236+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n026.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 16:21:16 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.48  %----Proving TF0_NAR, FOF, or CNF
% 25.56/25.87  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.CWF2vQWjT3/cvc5---1.0.5_21753.p...
% 25.56/25.87  ------- get file name : TPTP file name is SEU236+3
% 25.56/25.87  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_21753.smt2...
% 25.56/25.87  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.56/25.87  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.56/25.87  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.56/25.87  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.56/25.87  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.56/25.87  % SZS status Theorem for SEU236+3
% 25.56/25.87  % SZS output start Proof for SEU236+3
% 25.56/25.87  (
% 25.56/25.87  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.subset A B) (tptp.subset C B)) (tptp.subset (tptp.set_union2 A C) B))))) (let ((_let_2 (not (forall ((A $$unsorted)) (=> (tptp.ordinal A) (forall ((B $$unsorted)) (=> (tptp.ordinal B) (= (tptp.in A B) (tptp.ordinal_subset (tptp.succ A) B))))))))) (let ((_let_3 (forall ((A $$unsorted)) (tptp.in A (tptp.succ A))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (= (tptp.ordinal_subset A B) (tptp.subset A B)))))) (let ((_let_5 (tptp.relation tptp.empty_set))) (let ((_let_6 (tptp.empty tptp.empty_set))) (let ((_let_7 (forall ((A $$unsorted)) (let ((_let_1 (tptp.succ A))) (=> (tptp.ordinal A) (and (not (tptp.empty _let_1)) (tptp.epsilon_transitive _let_1) (tptp.epsilon_connected _let_1) (tptp.ordinal _let_1))))))) (let ((_let_8 (tptp.relation_empty_yielding tptp.empty_set))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_10 (forall ((A $$unsorted)) (= (tptp.epsilon_transitive A) (forall ((B $$unsorted)) (=> (tptp.in B A) (tptp.subset B A))))))) (let ((_let_11 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= C A))))))) (let ((_let_12 (forall ((A $$unsorted)) (= (tptp.succ A) (tptp.set_union2 A (tptp.singleton A)))))) (let ((_let_13 (forall ((A $$unsorted)) (=> (tptp.ordinal A) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))))) (let ((_let_14 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_16 (tptp.succ SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_17 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_15))) (let ((_let_20 (tptp.subset _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_21 (= _let_20 _let_14))) (let ((_let_22 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (_let_22))) (let ((_let_25 ((tptp.subset A B)))) (let ((_let_26 (tptp.ordinal_subset _let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_27 (= _let_26 _let_20))) (let ((_let_28 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.ordinal _let_16))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_27))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal B)) (= (tptp.ordinal_subset A B) (tptp.subset A B)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (and (not (tptp.empty _let_16)) (tptp.epsilon_transitive _let_16) (tptp.epsilon_connected _let_16) _let_30))) (let ((_let_36 (tptp.ordinal SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_37 (not _let_36))) (let ((_let_38 (or _let_37 _let_35))) (let ((_let_39 (forall ((A $$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_40 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_41 (= _let_15 _let_26))) (let ((_let_42 (or _let_37 _let_29 _let_41))) (let ((_let_43 (forall ((A $$unsorted) (BOUND_VARIABLE_1248 $$unsorted)) (or (not (tptp.ordinal A)) (not (tptp.ordinal BOUND_VARIABLE_1248)) (= (tptp.in A BOUND_VARIABLE_1248) (tptp.ordinal_subset (tptp.succ A) BOUND_VARIABLE_1248)))))) (let ((_let_44 (not _let_42))) (let ((_let_45 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_46 (or))) (let ((_let_47 (not _let_43))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_45) :args (_let_47))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_43))) (REFL :args (_let_44)) :args _let_46)) _let_45 :args (_let_44 true _let_43)))) (let ((_let_49 (REFL :args (_let_42)))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 1)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_46)) :args ((or _let_28 _let_42))) _let_48 :args (_let_28 true _let_42)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_31 _let_27 (not _let_32)))) _let_50 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_35 3)) :args ((or _let_30 (not _let_35)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_37 _let_35 (not _let_38)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_42 0)) (CONG _let_49 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_46)) :args ((or _let_36 _let_42))) _let_48 :args (_let_36 true _let_42)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_40 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.succ A)))) :args (_let_39))) _let_40 :args (_let_38 false _let_39)) :args (_let_35 false _let_36 false _let_38)) :args (_let_30 false _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.ordinal_subset A B)))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_27 false _let_28 false _let_30 false _let_32)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_42 2)) _let_48 :args ((not _let_41) true _let_42)))) (let ((_let_53 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_54 (not _let_15))) (let ((_let_55 (or _let_54 _let_53))) (let ((_let_56 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (let ((_let_57 (tptp.set_union2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_56))) (let ((_let_58 (= _let_16 _let_57))) (let ((_let_59 (tptp.subset _let_57 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_60 (tptp.subset _let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_61 (not _let_60))) (let ((_let_62 (not _let_53))) (let ((_let_63 (or _let_62 _let_61 _let_59))) (let ((_let_64 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_65 (= _let_60 _let_64))) (let ((_let_66 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_67 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 _let_56))) (let ((_let_68 (not _let_67))) (let ((_let_69 (or _let_68 _let_66))) (let ((_let_70 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20))) (let ((_let_71 (= _let_67 _let_70))) (let ((_let_72 (_let_41))) (let ((_let_73 (forall ((B $$unsorted)) (or (not (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)) (tptp.subset B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))))) (let ((_let_74 (tptp.epsilon_transitive SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16))) (let ((_let_75 (= _let_74 _let_73))) (let ((_let_76 (forall ((A $$unsorted)) (= (tptp.epsilon_transitive A) (forall ((B $$unsorted)) (or (not (tptp.in B A)) (tptp.subset B A))))))) (let ((_let_77 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_78 (and _let_74 (tptp.epsilon_connected SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_79 (or _let_29 _let_78))) (let ((_let_80 (forall ((A $$unsorted)) (or (not (tptp.ordinal A)) (and (tptp.epsilon_transitive A) (tptp.epsilon_connected A)))))) (let ((_let_81 (EQ_RESOLVE (ASSUME :args (_let_13)) (MACRO_SR_EQ_INTRO :args (_let_13 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_82 (_let_73))) (let ((_let_83 (not _let_27))) (let ((_let_84 (not _let_20))) (let ((_let_85 (_let_27))) (let ((_let_86 (_let_12))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 (not _let_59))) (let ((_let_89 (not _let_58))) (let ((_let_90 (and _let_58 _let_84))) (let ((_let_91 (ASSUME :args (_let_84)))) (let ((_let_92 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16)))) (let ((_let_93 (ASSUME :args (_let_58)))) (let ((_let_94 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.subset A B)) (not (tptp.subset C B)) (tptp.subset (tptp.set_union2 A C) B))))) (let ((_let_95 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_96 (not _let_64))) (let ((_let_97 (_let_96))) (let ((_let_98 (forall ((C $$unsorted)) (= (tptp.in C (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15)) (= C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15))))) (let ((_let_99 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.singleton A)) (forall ((C $$unsorted)) (= (tptp.in C B) (= A C))))))) (let ((_let_100 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_101 (_let_98))) (let ((_let_102 (not _let_66))) (let ((_let_103 (ASSUME :args (_let_15)))) (let ((_let_104 (ASSUME :args (_let_70)))) (let ((_let_105 (ASSUME :args (_let_102)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_103 _let_104 _let_105) :args (_let_15 _let_102 _let_70)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_105)) (CONG (SYMM _let_104) _let_92 :args (APPLY_UF tptp.in)) (TRUE_INTRO _let_103))) :args (_let_15 _let_70 _let_102)) :args ((not (and _let_15 _let_102 _let_70)) SB_LITERAL))) (CONG (REFL :args (_let_54)) (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_66))) (REFL :args ((not _let_70))) :args _let_46)) (REORDERING (CNF_EQUIV_POS1 :args (_let_71)) :args ((or _let_68 _let_70 (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_101) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_20 QUANTIFIERS_INST_CBQI_PROP)) :args _let_101))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_100 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_56 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_99)))) _let_100 :args (_let_98 false _let_99)) :args (_let_71 false _let_98)) (CNF_OR_NEG :args (_let_69 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_69 0)) (CONG (REFL :args (_let_69)) (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_67))) :args _let_46)) :args ((or _let_67 _let_69))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_97)) :args _let_97)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_64))) (REFL :args ((not _let_69))) :args _let_46)) (REORDERING (CNF_EQUIV_POS2 :args (_let_65)) :args ((or _let_60 _let_96 (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_56 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_65 false _let_22)) (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_62 _let_61 _let_59 (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_95 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 _let_56 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.subset (tptp.set_union2 A C) B) true))))) :args (_let_94))) _let_95 :args (_let_63 false _let_94)) (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_90)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_91 _let_93) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_93) _let_92 :args (APPLY_UF tptp.subset)) (FALSE_INTRO _let_91))) :args (_let_84 _let_58))) :args (_let_58 _let_84))) :args (true _let_90)) (CONG (REFL :args (_let_89)) (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_20))) (REFL :args (_let_88)) :args _let_46)) :args ((or _let_20 _let_89 _let_88))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.succ A)))) :args _let_86)) _let_87 :args (_let_58 false _let_12)) (REORDERING (CNF_EQUIV_POS2 :args _let_85) :args ((or _let_26 _let_84 _let_83))) _let_51 (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_53 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_82) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.in B SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16) false))))) :args _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_75)) :args ((or (not _let_74) _let_73 (not _let_75)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_78 0)) :args ((or _let_74 (not _let_78)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_29 _let_78 (not _let_79)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.ordinal A) false))))) :args (_let_80))) _let_81 :args (_let_79 false _let_80)) :args (_let_78 false _let_28 false _let_79)) :args (_let_74 false _let_78)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_76))) _let_77 :args (_let_75 false _let_76)) :args (_let_73 false _let_74 false _let_75)) :args (_let_55 false _let_73)) (CNF_EQUIV_NEG2 :args _let_72) _let_52 :args (_let_54 false _let_70 false _let_71 true _let_66 false _let_67 true _let_69 true _let_64 false _let_65 true _let_60 false _let_63 true _let_59 false _let_58 true _let_20 false _let_27 false _let_53 false _let_55 true _let_26 true _let_41)))) (let ((_let_107 (not _let_19))) (let ((_let_108 (_let_3))) (let ((_let_109 (ASSUME :args _let_108))) (let ((_let_110 (_let_14))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_110) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_15 _let_18 _let_107))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_109 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.succ A)))) :args _let_108)) _let_109 :args (_let_17 false _let_3)) :args (_let_107 true _let_15 false _let_17)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_21)) :args ((or _let_84 _let_14 (not _let_21)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_85) :args ((or (not _let_26) _let_20 _let_83))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_72) :args ((or _let_15 _let_26 _let_41))) _let_106 _let_52 :args (_let_26 true _let_15 true _let_41)) _let_51 :args (_let_20 false _let_26 false _let_27)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (_let_16 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_25)) :args _let_24)) _let_23 :args (_let_21 false _let_22)) :args (_let_14 false _let_20 false _let_21)) :args (false true _let_19 false _let_14)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) _let_13 (forall ((A $$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 $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (or (tptp.ordinal_subset A B) (tptp.ordinal_subset B A)))) _let_12 _let_11 _let_10 _let_9 (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (and _let_6 _let_5 _let_8) (forall ((A $$unsorted)) (not (tptp.empty (tptp.succ A)))) _let_6 (and _let_5 _let_8 (tptp.function tptp.empty_set) (tptp.one_to_one tptp.empty_set) _let_6 (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_7 (forall ((A $$unsorted) (B $$unsorted)) (=> (not (tptp.empty A)) (not (tptp.empty (tptp.set_union2 B A))))) (and _let_6 _let_5) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.set_union2 A 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 $$unsorted)) (and (tptp.relation A) (tptp.relation_non_empty A) (tptp.function A))) _let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.ordinal A) (tptp.ordinal B)) (tptp.ordinal_subset A A))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_3 (forall ((A $$unsorted)) (= (tptp.set_union2 A tptp.empty_set) A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_2 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) (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)))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.72/25.87  )
% 25.72/25.87  % SZS output end Proof for SEU236+3
% 25.72/25.87  % cvc5---1.0.5 exiting
% 25.72/25.88  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------