%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU319+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 16:30:52 EDT 2023

% Result   : Theorem 0.21s 0.53s
% Output   : Proof 0.21s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem    : SEU319+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n024.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   : Thu Aug 24 00:19:39 EDT 2023
% 0.21/0.36  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.53  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.jMuOit8Jeq/cvc5---1.0.5_31789.p...
% 0.21/0.53  ------- get file name : TPTP file name is SEU319+1
% 0.21/0.53  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_31789.smt2...
% 0.21/0.53  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.53  % SZS status Theorem for SEU319+1
% 0.21/0.53  % SZS output start Proof for SEU319+1
% 0.21/0.53  (
% 0.21/0.53  (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.closed_subset B A) (tptp.open_subset (tptp.subset_complement _let_1 B) A)))))))))) (let ((_let_2 (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element B (tptp.powerset _let_1)) (= (tptp.subset_complement _let_1 B) (tptp.subset_difference _let_1 (tptp.cast_as_carrier_subset A) B))))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (tptp.top_str A) (tptp.one_sorted_str A))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.top_str A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element B (tptp.powerset _let_1)) (= (tptp.closed_subset B A) (tptp.open_subset (tptp.subset_difference _let_1 (tptp.cast_as_carrier_subset A) B) A))))))))) (let ((_let_5 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_6 (tptp.subset_difference _let_5 (tptp.cast_as_carrier_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_7 (tptp.subset_complement _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_8 (= _let_7 _let_6))) (let ((_let_9 (tptp.open_subset _let_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_10 (tptp.open_subset _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 (tptp.powerset _let_5)))) (let ((_let_12 (not _let_11))) (let ((_let_13 (tptp.one_sorted_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_14 _let_12 _let_8))) (let ((_let_16 (forall ((A $$unsorted) (BOUND_VARIABLE_807 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.one_sorted_str A)) (not (tptp.element BOUND_VARIABLE_807 (tptp.powerset _let_1))) (= (tptp.subset_complement _let_1 BOUND_VARIABLE_807) (tptp.subset_difference _let_1 (tptp.cast_as_carrier_subset A) BOUND_VARIABLE_807))))))) (let ((_let_17 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_18 (tptp.top_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_13))) (let ((_let_21 (forall ((A $$unsorted)) (or (not (tptp.top_str A)) (tptp.one_sorted_str A))))) (let ((_let_22 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_23 (tptp.closed_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_24 (= _let_23 _let_10))) (let ((_let_25 (or _let_19 _let_12 _let_24))) (let ((_let_26 (forall ((A $$unsorted) (BOUND_VARIABLE_829 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_829 (tptp.powerset _let_1))) (= (tptp.closed_subset BOUND_VARIABLE_829 A) (tptp.open_subset (tptp.subset_complement _let_1 BOUND_VARIABLE_829) A))))))) (let ((_let_27 (not _let_25))) (let ((_let_28 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_29 (or))) (let ((_let_30 (not _let_26))) (let ((_let_31 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_28) :args (_let_30))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_30) _let_26))) (REFL :args (_let_27)) :args _let_29)) _let_28 :args (_let_27 true _let_26)))) (let ((_let_32 (REFL :args (_let_25)))) (let ((_let_33 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 0)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_29)) :args ((or _let_18 _let_25))) _let_31 :args (_let_18 true _let_25)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_25 1)) (CONG _let_32 (MACRO_SR_PRED_INTRO :args ((= (not _let_12) _let_11))) :args _let_29)) :args ((or _let_11 _let_25))) _let_31 :args (_let_11 true _let_25)))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_12 _let_14 _let_8 (not _let_15)))) _let_34 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_13 (not _let_20)))) _let_33 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.top_str A) false))))) :args (_let_21))) _let_22 :args (_let_20 false _let_21)) :args (_let_13 false _let_18 false _let_20)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_17 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_807 (tptp.powerset (tptp.the_carrier A))) false))))) :args (_let_16))) _let_17 :args (_let_15 false _let_16)) :args (_let_8 false _let_11 false _let_13 false _let_15)))) (let ((_let_36 (= _let_23 _let_9))) (let ((_let_37 (or _let_19 _let_12 _let_36))) (let ((_let_38 (forall ((A $$unsorted) (BOUND_VARIABLE_735 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_735 (tptp.powerset _let_1))) (= (tptp.closed_subset BOUND_VARIABLE_735 A) (tptp.open_subset (tptp.subset_difference _let_1 (tptp.cast_as_carrier_subset A) BOUND_VARIABLE_735) A))))))) (let ((_let_39 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_40 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_19 _let_12 _let_36 (not _let_37)))) _let_33 _let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_735 (tptp.powerset (tptp.the_carrier A))) false))))) :args (_let_38))) _let_39 :args (_let_37 false _let_38)) :args (_let_36 false _let_18 false _let_11 false _let_37)))) (let ((_let_41 (not _let_36))) (let ((_let_42 (_let_36))) (let ((_let_43 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_25 2)) _let_31 :args ((not _let_24) true _let_25)))) (let ((_let_44 (_let_24))) (let ((_let_45 (not _let_8))) (let ((_let_46 (not _let_10))) (let ((_let_47 (not _let_9))) (let ((_let_48 (and _let_8 _let_47))) (let ((_let_49 (ASSUME :args (_let_47)))) (let ((_let_50 (ASSUME :args (_let_8)))) (let ((_let_51 (CONG (SYMM (SYMM _let_50)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) :args (APPLY_UF tptp.open_subset)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_48)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_49 _let_50) (SCOPE (FALSE_ELIM (TRANS _let_51 (FALSE_INTRO _let_49))) :args (_let_47 _let_8))) :args (_let_8 _let_47))) :args (true _let_48)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_9))) (REFL :args (_let_46)) :args _let_29)) :args ((or _let_46 _let_9 _let_45))) _let_35 (REORDERING (CNF_EQUIV_NEG1 :args _let_44) :args ((or _let_23 _let_10 _let_24))) _let_43 (REORDERING (CNF_EQUIV_POS1 :args _let_42) :args ((or (not _let_23) _let_9 _let_41))) _let_40 :args (_let_9 false _let_8 false _let_10 true _let_24 true _let_23 false _let_36)))) (let ((_let_53 (and _let_9 _let_8))) (let ((_let_54 (_let_9 _let_8))) (let ((_let_55 (ASSUME :args (_let_9)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_53)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_55 _let_50) (SCOPE (TRUE_ELIM (TRANS _let_51 (TRUE_INTRO _let_55))) :args _let_54)) :args _let_54)) :args (true _let_53)) :args ((or _let_10 _let_47 _let_45))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_44) _let_43 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_42) :args ((or _let_23 _let_47 _let_41))) _let_52 _let_40 :args (_let_23 false _let_9 false _let_36)) :args (_let_46 true _let_24 false _let_23)) _let_52 _let_35 :args (false true _let_10 false _let_9 false _let_8)) :args (_let_4 true (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (tptp.element (tptp.cast_as_carrier_subset A) (tptp.powerset (tptp.the_carrier A))))) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset A))) (=> (tptp.element B _let_1) (tptp.element (tptp.subset_complement A B) _let_1)))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.powerset A))) (=> (and (tptp.element B _let_1) (tptp.element C _let_1)) (tptp.element (tptp.subset_difference A B C) _let_1)))) _let_3 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)) (=> (tptp.element B (tptp.powerset A)) (= (tptp.subset_complement A (tptp.subset_complement A B)) B))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (let ((_let_1 (tptp.powerset A))) (=> (and (tptp.element B _let_1) (tptp.element C _let_1)) (= (tptp.subset_difference A B C) (tptp.set_difference B C))))) (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.53  )
% 0.21/0.53  % SZS output end Proof for SEU319+1
% 0.21/0.53  % cvc5---1.0.5 exiting
% 0.21/0.54  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------