%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU324+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n025.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 16:30:55 EDT 2023

% Result   : Theorem 0.23s 0.59s
% Output   : Proof 0.23s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SEU324+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n025.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 15:13:50 EDT 2023
% 0.22/0.36  % CPUTime    : 
% 0.23/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.59  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.Nja2kKR0eg/cvc5---1.0.5_6120.p...
% 0.23/0.59  ------- get file name : TPTP file name is SEU324+1
% 0.23/0.59  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_6120.smt2...
% 0.23/0.59  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.23/0.59  % SZS status Theorem for SEU324+1
% 0.23/0.59  % SZS output start Proof for SEU324+1
% 0.23/0.59  (
% 0.23/0.59  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A)) (forall ((B $$unsorted)) (=> (tptp.top_str B) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.powerset (tptp.the_carrier A))) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.powerset (tptp.the_carrier B))) (and (=> (tptp.open_subset D B) (= (tptp.interior B D) D)) (=> (= (tptp.interior A C) C) (tptp.open_subset C A)))))))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.top_str A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.closed_subset B A))) (let ((_let_2 (= (tptp.topstr_closure A B) B))) (=> (tptp.element B (tptp.powerset (tptp.the_carrier A))) (and (=> _let_1 _let_2) (=> (and (tptp.topological_space A) _let_2) _let_1)))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.top_str A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element B (tptp.powerset _let_1)) (= (tptp.open_subset B A) (tptp.closed_subset (tptp.subset_complement _let_1 B) A))))))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (= (tptp.subset_complement A (tptp.subset_complement A B)) B))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A) (tptp.element B (tptp.powerset (tptp.the_carrier A)))) (tptp.open_subset (tptp.interior A B) A))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset A))) (=> (tptp.element B _let_1) (tptp.element (tptp.subset_complement A B) _let_1)))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (tptp.top_str A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element B (tptp.powerset _let_1)) (= (tptp.interior A B) (tptp.subset_complement _let_1 (tptp.topstr_closure A (tptp.subset_complement _let_1 B))))))))))) (let ((_let_8 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_9 (tptp.subset_complement _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_10 (tptp.topstr_closure SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_9))) (let ((_let_11 (tptp.interior SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_12 (= _let_11 (tptp.subset_complement _let_8 _let_10)))) (let ((_let_13 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 (tptp.subset_complement _let_8 _let_9)))) (let ((_let_14 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_11))) (let ((_let_15 (= _let_9 _let_10))) (let ((_let_16 (tptp.powerset _let_8))) (let ((_let_17 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_16))) (let ((_let_18 (not _let_17))) (let ((_let_19 (tptp.top_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_18 _let_12))) (let ((_let_22 (forall ((A $$unsorted) (BOUND_VARIABLE_863 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_863 (tptp.powerset _let_1))) (= (tptp.interior A BOUND_VARIABLE_863) (tptp.subset_complement _let_1 (tptp.topstr_closure A (tptp.subset_complement _let_1 BOUND_VARIABLE_863))))))))) (let ((_let_23 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_24 (tptp.open_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_25 (tptp.interior SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_26 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_25))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_24))) (let ((_let_29 (tptp.open_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_14))) (let ((_let_32 (and _let_31 _let_28))) (let ((_let_33 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.powerset (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.top_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_36 (not _let_35))) (let ((_let_37 (tptp.topological_space SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 _let_36 _let_20 _let_34 _let_18 _let_32))) (let ((_let_40 (forall ((A $$unsorted) (BOUND_VARIABLE_1153 $$unsorted) (BOUND_VARIABLE_1151 $$unsorted) (BOUND_VARIABLE_1149 $$unsorted)) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (tptp.top_str BOUND_VARIABLE_1149)) (not (tptp.element BOUND_VARIABLE_1153 (tptp.powerset (tptp.the_carrier A)))) (not (tptp.element BOUND_VARIABLE_1151 (tptp.powerset (tptp.the_carrier BOUND_VARIABLE_1149)))) (and (or (not (tptp.open_subset BOUND_VARIABLE_1151 BOUND_VARIABLE_1149)) (= BOUND_VARIABLE_1151 (tptp.interior BOUND_VARIABLE_1149 BOUND_VARIABLE_1151))) (or (not (= BOUND_VARIABLE_1153 (tptp.interior A BOUND_VARIABLE_1153))) (tptp.open_subset BOUND_VARIABLE_1153 A))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args (_let_44))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) _let_42 :args (_let_41 true _let_40)))) (let ((_let_46 (REFL :args (_let_39)))) (let ((_let_47 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 4)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_43)) :args ((or _let_17 _let_39))) _let_45 :args (_let_17 true _let_39)))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 2)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_43)) :args ((or _let_19 _let_39))) _let_45 :args (_let_19 true _let_39)))) (let ((_let_49 (or _let_18 _let_13))) (let ((_let_50 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element B (tptp.powerset A))) (= B (tptp.subset_complement A (tptp.subset_complement A B))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (tptp.open_subset _let_25 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_53 (or _let_38 _let_36 _let_34 _let_52))) (let ((_let_54 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (tptp.element B (tptp.powerset (tptp.the_carrier A)))) (tptp.open_subset (tptp.interior A B) A))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (and _let_26 _let_52))) (let ((_let_57 (ASSUME :args (_let_52)))) (let ((_let_58 (ASSUME :args (_let_26)))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_32)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 5)) _let_45 :args ((not _let_32) true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_56)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_58) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM (SYMM _let_58)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args (APPLY_UF tptp.open_subset)) (TRUE_INTRO _let_57))) :args (_let_52 _let_26))) :args (_let_26 _let_52))) :args (true _let_56)) :args ((or _let_27 _let_24 (not _let_52)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_38 _let_36 _let_34 _let_52 (not _let_53)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_43)) :args ((or _let_37 _let_39))) _let_45 :args (_let_37 true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 1)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_36) _let_35))) :args _let_43)) :args ((or _let_35 _let_39))) _let_45 :args (_let_35 true _let_39)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 3)) (CONG _let_46 (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_33))) :args _let_43)) :args ((or _let_33 _let_39))) _let_45 :args (_let_33 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element B (tptp.powerset (tptp.the_carrier A))) false))))) :args (_let_54))) _let_55 :args (_let_53 false _let_54)) :args (_let_52 false _let_37 false _let_35 false _let_33 false _let_53)) (CNF_OR_NEG :args (_let_28 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_28 0)) (CONG (REFL :args (_let_28)) (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_43)) :args ((or _let_26 _let_28))) :args (_let_28 false _let_52 true _let_24 false _let_26)) :args ((not _let_31) true _let_32 false _let_28)))) (let ((_let_60 (tptp.closed_subset _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_61 _let_15))) (let ((_let_63 (not _let_15))) (let ((_let_64 (and _let_62 (or (not (tptp.topological_space SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) _let_63 _let_60)))) (let ((_let_65 (tptp.element _let_9 _let_16))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_20 _let_66 _let_64))) (let ((_let_68 (forall ((A $$unsorted) (BOUND_VARIABLE_1056 $$unsorted)) (let ((_let_1 (tptp.closed_subset BOUND_VARIABLE_1056 A))) (let ((_let_2 (= BOUND_VARIABLE_1056 (tptp.topstr_closure A BOUND_VARIABLE_1056)))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1056 (tptp.powerset (tptp.the_carrier A)))) (and (or (not _let_1) _let_2) (or (not (tptp.topological_space A)) (not _let_2) _let_1)))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (or _let_18 _let_65))) (let ((_let_71 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset A))) (or (not (tptp.element B _let_1)) (tptp.element (tptp.subset_complement A B) _let_1)))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (= _let_29 _let_60))) (let ((_let_74 (or _let_20 _let_18 _let_73))) (let ((_let_75 (forall ((A $$unsorted) (BOUND_VARIABLE_1018 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1018 (tptp.powerset _let_1))) (= (tptp.open_subset BOUND_VARIABLE_1018 A) (tptp.closed_subset (tptp.subset_complement _let_1 BOUND_VARIABLE_1018) A))))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (and _let_12 _let_13 _let_15))) (let ((_let_78 (ASSUME :args (_let_12)))) (let ((_let_79 (ASSUME :args (_let_15)))) (let ((_let_80 (ASSUME :args (_let_13)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_77)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_78 _let_79 _let_80) (SCOPE (TRANS (SYMM (SYMM _let_80)) (CONG (REFL :args (_let_8)) (SYMM (SYMM _let_79)) :args (APPLY_UF tptp.subset_complement)) (SYMM _let_78)) :args (_let_12 _let_15 _let_13))) :args (_let_12 _let_13 _let_15))) :args (true _let_77)) :args ((or _let_14 (not _let_12) (not _let_13) _let_63))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_61 _let_15 (not _let_62)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or _let_30 _let_60 (not _let_73)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_31 0)) (CONG (REFL :args (_let_31)) (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_29))) :args _let_43)) :args ((or _let_29 _let_31))) _let_59 :args (_let_29 true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_20 _let_18 _let_73 (not _let_74)))) _let_48 _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_1018 (tptp.powerset (tptp.the_carrier A))) false))))) :args (_let_75))) _let_76 :args (_let_74 false _let_75)) :args (_let_73 false _let_19 false _let_17 false _let_74)) :args (_let_60 false _let_29 false _let_73)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_64 0)) :args ((or _let_62 (not _let_64)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_20 _let_66 _let_64 (not _let_67)))) _let_48 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_18 _let_65 (not _let_70)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset_complement A B)))) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_65 false _let_17 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_9 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.closed_subset BOUND_VARIABLE_1056 A)))) :args (_let_68))) _let_69 :args (_let_67 false _let_68)) :args (_let_64 false _let_19 false _let_65 false _let_67)) :args (_let_62 false _let_64)) :args (_let_15 false _let_60 false _let_62)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_31 1)) _let_59 :args ((not _let_14) true _let_31)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_18 _let_13 (not _let_49)))) _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element B (tptp.powerset A)) false))))) :args (_let_50))) _let_51 :args (_let_49 false _let_50)) :args (_let_13 false _let_17 false _let_49)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_20 _let_18 _let_12 (not _let_21)))) _let_48 _let_47 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_23 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_863 (tptp.powerset (tptp.the_carrier A))) false))))) :args (_let_22))) _let_23 :args (_let_21 false _let_22)) :args (_let_12 false _let_19 false _let_17 false _let_21)) :args (false false _let_15 true _let_14 false _let_13 false _let_12)) :args (_let_7 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (=> (and (tptp.top_str A) (tptp.element B _let_1)) (tptp.element (tptp.interior A B) _let_1)))) true _let_6 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (=> (and (tptp.top_str A) (tptp.element B _let_1)) (tptp.element (tptp.topstr_closure A B) _let_1)))) (forall ((A $$unsorted)) (=> (tptp.top_str A) (tptp.one_sorted_str A))) true true true (exists ((A $$unsorted)) (tptp.top_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A) (tptp.element B (tptp.powerset (tptp.the_carrier A)))) (tptp.closed_subset (tptp.topstr_closure A B) A))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (tptp.topological_space A) (tptp.top_str A) (tptp.closed_subset B A) (tptp.element B (tptp.powerset _let_1))) (tptp.open_subset (tptp.subset_complement _let_1 B) A)))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (tptp.topological_space A) (tptp.top_str A) (tptp.open_subset B A) (tptp.element B (tptp.powerset _let_1))) (tptp.closed_subset (tptp.subset_complement _let_1 B) A)))) _let_5 _let_4 (forall ((A $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset (tptp.the_carrier A))) (tptp.open_subset B A))))) (forall ((A $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset (tptp.the_carrier A))) (tptp.open_subset B A) (tptp.closed_subset B A))))) (forall ((A $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset (tptp.the_carrier A))) (tptp.closed_subset B A))))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.23/0.60  )
% 0.23/0.60  % SZS output end Proof for SEU324+1
% 0.23/0.60  % cvc5---1.0.5 exiting
% 0.23/0.60  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------