%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n028.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 0.20s 0.56s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU323+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n028.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
% 0.20/0.36  % CPULimit   : 300
% 0.20/0.36  % WCLimit    : 300
% 0.20/0.36  % DateTime   : Thu Aug 24 01:32:49 EDT 2023
% 0.20/0.36  % CPUTime    : 
% 0.20/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.56  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.DUMLEGEtO6/cvc5---1.0.5_20794.p...
% 0.20/0.56  ------- get file name : TPTP file name is SEU323+1
% 0.20/0.56  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_20794.smt2...
% 0.20/0.56  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.56  % SZS status Theorem for SEU323+1
% 0.20/0.56  % SZS output start Proof for SEU323+1
% 0.20/0.56  (
% 0.20/0.56  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset (tptp.the_carrier A))) (tptp.open_subset (tptp.interior A B) A)))))))) (let ((_let_2 (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_3 (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))))) (let ((_let_4 (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)))))) (let ((_let_5 (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_6 (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)))))) (let ((_let_7 (tptp.interior SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (tptp.open_subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.subset_complement _let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.topstr_closure SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10))) (let ((_let_12 (tptp.subset_complement _let_9 _let_11))) (let ((_let_13 (= _let_7 _let_12))) (let ((_let_14 (tptp.open_subset _let_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_15 (tptp.powerset _let_9))) (let ((_let_16 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_15))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.top_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.topological_space SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_21 (not _let_20))) (let ((_let_22 (or _let_21 _let_19 _let_17 _let_8))) (let ((_let_23 (not _let_8))) (let ((_let_24 (forall ((A $$unsorted) (BOUND_VARIABLE_911 $$unsorted)) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_911 (tptp.powerset (tptp.the_carrier A)))) (tptp.open_subset (tptp.interior A BOUND_VARIABLE_911) A))))) (let ((_let_25 (not _let_22))) (let ((_let_26 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_27 (or))) (let ((_let_28 (not _let_24))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_26) :args (_let_28))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_24))) (REFL :args (_let_25)) :args _let_27)) _let_26 :args (_let_25 true _let_24)))) (let ((_let_30 (or _let_19 _let_17 _let_13))) (let ((_let_31 (forall ((A $$unsorted) (BOUND_VARIABLE_884 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_884 (tptp.powerset _let_1))) (= (tptp.interior A BOUND_VARIABLE_884) (tptp.subset_complement _let_1 (tptp.topstr_closure A (tptp.subset_complement _let_1 BOUND_VARIABLE_884))))))))) (let ((_let_32 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_33 (REFL :args (_let_22)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 2)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_27)) :args ((or _let_16 _let_22))) _let_29 :args (_let_16 true _let_22)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 1)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_27)) :args ((or _let_18 _let_22))) _let_29 :args (_let_18 true _let_22)))) (let ((_let_36 (tptp.element _let_11 _let_15))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.closed_subset _let_11 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_21 _let_19 _let_39 _let_37 _let_14))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (tptp.closed_subset B A)) (not (tptp.element B (tptp.powerset _let_1))) (tptp.open_subset (tptp.subset_complement _let_1 B) A)))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (tptp.element _let_10 _let_15))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_19 _let_44 _let_36))) (let ((_let_46 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (or (not (tptp.top_str A)) (not (tptp.element B _let_1)) (tptp.element (tptp.topstr_closure A B) _let_1)))))) (let ((_let_47 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_48 (or _let_17 _let_43))) (let ((_let_49 (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_50 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_17 _let_43 (not _let_48)))) _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset_complement A B)))) :args (_let_49))) _let_50 :args (_let_48 false _let_49)) :args (_let_43 false _let_16 false _let_48)))) (let ((_let_52 (or _let_21 _let_19 _let_44 _let_38))) (let ((_let_53 (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.closed_subset (tptp.topstr_closure A B) A))))) (let ((_let_54 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_55 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_22 0)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_20))) :args _let_27)) :args ((or _let_20 _let_22))) _let_29 :args (_let_20 true _let_22)))) (let ((_let_56 (ASSUME :args (_let_14)))) (let ((_let_57 (ASSUME :args (_let_13)))) (let ((_let_58 (ASSUME :args (_let_23)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_56 _let_57 _let_58) :args (_let_23 _let_13 _let_14)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_58)) (CONG (SYMM (SYMM _let_57)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args (APPLY_UF tptp.open_subset)) (TRUE_INTRO _let_56))) :args (_let_14 _let_13 _let_23)) :args ((not (and _let_23 _let_13 _let_14)) SB_LITERAL))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_8))) (REFL :args ((not _let_13))) (REFL :args ((not _let_14))) :args _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_21 _let_19 _let_39 _let_37 _let_14 (not _let_40)))) _let_55 _let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_21 _let_19 _let_38 _let_44 (not _let_52)))) _let_55 _let_35 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.topstr_closure A B)))) :args (_let_53))) _let_54 :args (_let_52 false _let_53)) :args (_let_38 false _let_20 false _let_18 false _let_43 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_19 _let_36 _let_44 (not _let_45)))) _let_35 _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.topstr_closure A B)))) :args (_let_46))) _let_47 :args (_let_45 false _let_46)) :args (_let_36 false _let_18 false _let_43 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_11 QUANTIFIERS_INST_E_MATCHING ((tptp.subset_complement (tptp.the_carrier A) B)))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_14 false _let_20 false _let_18 false _let_38 false _let_36 false _let_40)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_30)) :args ((or _let_19 _let_17 _let_13 (not _let_30)))) _let_35 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_32 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_884 (tptp.powerset (tptp.the_carrier A))) false))))) :args (_let_31))) _let_32 :args (_let_30 false _let_31)) :args (_let_13 false _let_18 false _let_16 false _let_30)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 3)) _let_29 :args (_let_23 true _let_22)) :args (false false _let_14 false _let_13 true _let_8)) :args (_let_6 (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.element B (tptp.powerset A)) (= (tptp.subset_complement A (tptp.subset_complement A B)) B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) _let_5 _let_4 true _let_3 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (and (tptp.topological_space A) (tptp.top_str A) (tptp.open_subset B A) (tptp.element B (tptp.powerset _let_1))) (tptp.closed_subset (tptp.subset_complement _let_1 B) A)))) (exists ((A $$unsorted)) (tptp.top_str A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (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 (forall ((A $$unsorted)) (=> (tptp.top_str A) (tptp.one_sorted_str A))) true true (forall ((A $$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) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) _let_2 _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.56  )
% 0.20/0.56  % SZS output end Proof for SEU323+1
% 0.20/0.56  % cvc5---1.0.5 exiting
% 0.20/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------