%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 16:30:53 EDT 2023

% Result   : Theorem 0.20s 0.51s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SEU320+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.13/0.34  % Computer : n020.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Thu Aug 24 00:43:30 EDT 2023
% 0.13/0.34  % CPUTime    : 
% 0.20/0.47  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.oDqSj9qwe2/cvc5---1.0.5_21178.p...
% 0.20/0.51  ------- get file name : TPTP file name is SEU320+1
% 0.20/0.51  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_21178.smt2...
% 0.20/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.51  % SZS status Theorem for SEU320+1
% 0.20/0.51  % SZS output start Proof for SEU320+1
% 0.20/0.51  (
% 0.20/0.51  (let ((_let_1 (not (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_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.closed_subset B A) (tptp.open_subset (tptp.subset_complement _let_1 B) A))))))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (= (tptp.subset_complement A (tptp.subset_complement A B)) B))))) (let ((_let_4 (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_5 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (tptp.subset_complement _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.subset_complement _let_5 _let_6))) (let ((_let_8 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_7))) (let ((_let_9 (tptp.open_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.open_subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.powerset _let_5))) (let ((_let_12 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_11))) (let ((_let_13 (not _let_12))) (let ((_let_14 (or _let_13 _let_8))) (let ((_let_15 (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_16 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_17 (tptp.closed_subset _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_18 (= _let_9 _let_17))) (let ((_let_19 (tptp.top_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_20 (not _let_19))) (let ((_let_21 (or _let_20 _let_13 _let_18))) (let ((_let_22 (forall ((A $$unsorted) (BOUND_VARIABLE_734 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_734 (tptp.powerset _let_1))) (= (tptp.open_subset BOUND_VARIABLE_734 A) (tptp.closed_subset (tptp.subset_complement _let_1 BOUND_VARIABLE_734) A))))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_25 (or))) (let ((_let_26 (not _let_22))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_24) :args (_let_26))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_22))) (REFL :args (_let_23)) :args _let_25)) _let_24 :args (_let_23 true _let_22)))) (let ((_let_28 (REFL :args (_let_21)))) (let ((_let_29 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_12))) :args _let_25)) :args ((or _let_12 _let_21))) _let_27 :args (_let_12 true _let_21)))) (let ((_let_30 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_13 _let_8 (not _let_14)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_16 :args (_let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element B (tptp.powerset A)) false))))) :args (_let_15))) _let_16 :args (_let_14 false _let_15)) :args (_let_8 false _let_12 false _let_14)))) (let ((_let_31 (= _let_17 _let_10))) (let ((_let_32 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_21 2)) _let_27 :args ((not _let_18) true _let_21)))) (let ((_let_33 (_let_18))) (let ((_let_34 (tptp.element _let_6 _let_11))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_20 _let_35 _let_31))) (let ((_let_37 (forall ((A $$unsorted) (BOUND_VARIABLE_711 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_711 (tptp.powerset _let_1))) (= (tptp.closed_subset BOUND_VARIABLE_711 A) (tptp.open_subset (tptp.subset_complement _let_1 BOUND_VARIABLE_711) A))))))) (let ((_let_38 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_39 (or _let_13 _let_34))) (let ((_let_40 (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_41 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_42 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_20 _let_35 _let_31 (not _let_36)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 0)) (CONG _let_28 (MACRO_SR_PRED_INTRO :args ((= (not _let_20) _let_19))) :args _let_25)) :args ((or _let_19 _let_21))) _let_27 :args (_let_19 true _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_39)) :args ((or _let_13 _let_34 (not _let_39)))) _let_29 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_41 :args (_let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset_complement A B)))) :args (_let_40))) _let_41 :args (_let_39 false _let_40)) :args (_let_34 false _let_12 false _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.closed_subset BOUND_VARIABLE_711 A)))) :args (_let_37))) _let_38 :args (_let_36 false _let_37)) :args (_let_31 false _let_19 false _let_34 false _let_36)))) (let ((_let_43 (not _let_31))) (let ((_let_44 (not _let_17))) (let ((_let_45 (_let_31))) (let ((_let_46 (not _let_10))) (let ((_let_47 (not _let_8))) (let ((_let_48 (not _let_9))) (let ((_let_49 (and _let_48 _let_8))) (let ((_let_50 (_let_48 _let_8))) (let ((_let_51 (ASSUME :args (_let_48)))) (let ((_let_52 (ASSUME :args (_let_8)))) (let ((_let_53 (CONG (SYMM _let_52) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args (APPLY_UF tptp.open_subset)))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_49)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_51 _let_52) (SCOPE (FALSE_ELIM (TRANS _let_53 (FALSE_INTRO _let_51))) :args _let_50)) :args _let_50)) :args (true _let_49)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_9))) (REFL :args (_let_47)) (REFL :args (_let_46)) :args _let_25)) _let_30 (REORDERING (CNF_EQUIV_POS1 :args _let_45) :args ((or _let_44 _let_10 _let_43))) _let_42 (REORDERING (CNF_EQUIV_NEG1 :args _let_33) :args ((or _let_9 _let_17 _let_18))) _let_32 :args (_let_9 false _let_8 false _let_10 false _let_31 false _let_17 true _let_18)))) (let ((_let_55 (and _let_9 _let_8))) (let ((_let_56 (_let_9 _let_8))) (let ((_let_57 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_55)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_57 _let_52) (SCOPE (TRUE_ELIM (TRANS _let_53 (TRUE_INTRO _let_57))) :args _let_56)) :args _let_56)) :args (true _let_55)) :args ((or _let_48 _let_10 _let_47))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_45) :args ((or _let_17 _let_46 _let_43))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_33) _let_32 _let_54 :args (_let_44 true _let_18 false _let_9)) _let_42 :args (_let_46 true _let_17 false _let_31)) _let_54 _let_30 :args (false true _let_10 false _let_9 false _let_8)) :args (true _let_4 (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 $$unsorted)) (tptp.element B A))) _let_3 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) _let_2 _let_1 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.52  )
% 0.20/0.52  % SZS output end Proof for SEU320+1
% 0.20/0.52  % cvc5---1.0.5 exiting
% 0.20/0.52  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------