%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU376+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n032.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 16:31:15 EDT 2023

% Result   : Theorem 0.17s 0.65s
% Output   : Proof 0.17s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU376+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.11/0.34  % Computer : n032.cluster.edu
% 0.11/0.34  % Model    : x86_64 x86_64
% 0.11/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.34  % Memory   : 8042.1875MB
% 0.11/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.34  % CPULimit   : 300
% 0.11/0.34  % WCLimit    : 300
% 0.11/0.34  % DateTime   : Wed Aug 23 23:57:56 EDT 2023
% 0.11/0.35  % CPUTime    : 
% 0.17/0.45  %----Proving TF0_NAR, FOF, or CNF
% 0.17/0.65  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.iIpdjyXOV7/cvc5---1.0.5_22127.p...
% 0.17/0.65  ------- get file name : TPTP file name is SEU376+1
% 0.17/0.65  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_22127.smt2...
% 0.17/0.65  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.17/0.65  % SZS status Theorem for SEU376+1
% 0.17/0.65  % SZS output start Proof for SEU376+1
% 0.17/0.65  (
% 0.17/0.65  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.transitive_relstr B) (tptp.directed_relstr B) (tptp.net_str B A)) (forall ((C $$unsorted)) (=> (tptp.is_eventually_in A B C) (tptp.is_often_in A B C)))))))))) (let ((_let_2 (tptp.relation tptp.empty_set))) (let ((_let_3 (tptp.empty tptp.empty_set))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (forall ((B $$unsorted)) (=> (tptp.net_str B A) (tptp.rel_str B))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.rel_str A)) (= (tptp.directed_relstr A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.the_carrier A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier A)) (exists ((D $$unsorted)) (and (tptp.element D (tptp.the_carrier A)) (tptp.related A B D) (tptp.related A C D)))))))))))) (let ((_let_6 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.net_str B A)) (forall ((C $$unsorted)) (= (tptp.is_often_in A B C) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.the_carrier B)) (exists ((E $$unsorted)) (and (tptp.element E (tptp.the_carrier B)) (tptp.related B D E) (tptp.in (tptp.apply_netmap A B E) C))))))))))))) (let ((_let_7 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.net_str B A)) (forall ((C $$unsorted)) (= (tptp.is_eventually_in A B C) (exists ((D $$unsorted)) (and (tptp.element D (tptp.the_carrier B)) (forall ((E $$unsorted)) (=> (tptp.element E (tptp.the_carrier B)) (=> (tptp.related B D E) (tptp.in (tptp.apply_netmap A B E) C)))))))))))))) (let ((_let_8 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_9 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 _let_8))) (let ((_let_10 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61))) (let ((_let_11 (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_12 (not _let_11))) (let ((_let_13 (not _let_10))) (let ((_let_14 (not _let_9))) (let ((_let_15 (or _let_14 _let_13 _let_12))) (let ((_let_16 (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_14 _let_17 _let_13))) (let ((_let_19 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 D)) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 D)))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (not _let_19))) (let ((_let_22 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 _let_8))) (let ((_let_23 (not _let_22))) (let ((_let_24 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 _let_8))) (let ((_let_25 (not _let_24))) (let ((_let_26 (or _let_25 _let_23 _let_21))) (let ((_let_27 (forall ((B $$unsorted) (BOUND_VARIABLE_1407 $$unsorted)) (let ((_let_1 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (or (not (tptp.element B _let_1)) (not (tptp.element BOUND_VARIABLE_1407 _let_1)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 B D)) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 BOUND_VARIABLE_1407 D)))))))))) (let ((_let_28 (tptp.directed_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_29 (= _let_28 _let_27))) (let ((_let_30 (tptp.rel_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (let ((_let_33 (or _let_32 _let_31 _let_29))) (let ((_let_34 (forall ((A $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.rel_str A)) (= (tptp.directed_relstr A) (forall ((B $$unsorted) (BOUND_VARIABLE_1407 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.element B _let_1)) (not (tptp.element BOUND_VARIABLE_1407 _let_1)) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier A))) (not (tptp.related A B D)) (not (tptp.related A BOUND_VARIABLE_1407 D))))))))))))) (let ((_let_35 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (tptp.net_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_37 (not _let_36))) (let ((_let_38 (tptp.one_sorted_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_39 (not _let_38))) (let ((_let_40 (or _let_39 _let_37 _let_30))) (let ((_let_41 (forall ((A $$unsorted) (BOUND_VARIABLE_1513 $$unsorted)) (or (not (tptp.one_sorted_str A)) (not (tptp.net_str BOUND_VARIABLE_1513 A)) (tptp.rel_str BOUND_VARIABLE_1513))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (tptp.is_often_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_44 (tptp.is_eventually_in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))) (let ((_let_45 (not _let_44))) (let ((_let_46 (not _let_28))) (let ((_let_47 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12))) (let ((_let_48 (or _let_47 _let_39 _let_32 (not (tptp.transitive_relstr SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14)) _let_46 _let_37 _let_45 _let_43))) (let ((_let_49 (forall ((A $$unsorted) (BOUND_VARIABLE_1756 $$unsorted) (BOUND_VARIABLE_1754 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (tptp.empty_carrier BOUND_VARIABLE_1754) (not (tptp.transitive_relstr BOUND_VARIABLE_1754)) (not (tptp.directed_relstr BOUND_VARIABLE_1754)) (not (tptp.net_str BOUND_VARIABLE_1754 A)) (not (tptp.is_eventually_in A BOUND_VARIABLE_1754 BOUND_VARIABLE_1756)) (tptp.is_often_in A BOUND_VARIABLE_1754 BOUND_VARIABLE_1756))))) (let ((_let_50 (not _let_48))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (or))) (let ((_let_53 (not _let_49))) (let ((_let_54 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_51) :args (_let_53))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_53) _let_49))) (REFL :args (_let_50)) :args _let_52)) _let_51 :args (_let_50 true _let_49)))) (let ((_let_55 (REFL :args (_let_48)))) (let ((_let_56 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 5)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_37) _let_36))) :args _let_52)) :args ((or _let_36 _let_48))) _let_54 :args (_let_36 true _let_48)))) (let ((_let_57 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 1)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_38))) :args _let_52)) :args ((or _let_38 _let_48))) _let_54 :args (_let_38 true _let_48)))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 2)) _let_54 :args ((not _let_32) true _let_48)))) (let ((_let_59 (_let_27))) (let ((_let_60 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 E)) (not (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))))) (let ((_let_61 (not _let_60))) (let ((_let_62 (or _let_23 _let_61))) (let ((_let_63 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 D E)) (not (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))))))))) (let ((_let_64 (not _let_62))) (let ((_let_65 (= _let_43 _let_63))) (let ((_let_66 (not _let_63))) (let ((_let_67 (or _let_47 _let_39 _let_32 _let_37 _let_65))) (let ((_let_68 (forall ((A $$unsorted) (BOUND_VARIABLE_1359 $$unsorted) (BOUND_VARIABLE_1357 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (tptp.empty_carrier BOUND_VARIABLE_1357) (not (tptp.net_str BOUND_VARIABLE_1357 A)) (= (tptp.is_often_in A BOUND_VARIABLE_1357 BOUND_VARIABLE_1359) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier BOUND_VARIABLE_1357))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier BOUND_VARIABLE_1357))) (not (tptp.related BOUND_VARIABLE_1357 D E)) (not (tptp.in (tptp.apply_netmap A BOUND_VARIABLE_1357 E) BOUND_VARIABLE_1359)))))))))))) (let ((_let_69 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 0)) _let_54 :args ((not _let_47) true _let_48)))) (let ((_let_71 (_let_66))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_71)) :args _let_71)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_63))) (REFL :args (_let_64)) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_65)) :args ((or _let_43 _let_66 (not _let_65)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_48 7)) _let_54 :args ((not _let_43) true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_47 _let_39 _let_32 _let_37 _let_65 (not _let_67)))) _let_70 _let_57 _let_58 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_69 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.is_often_in A BOUND_VARIABLE_1357 BOUND_VARIABLE_1359)))) :args (_let_68))) _let_69 :args (_let_67 false _let_68)) :args (_let_65 true _let_47 false _let_38 true _let_32 false _let_36 false _let_67)) :args (_let_66 true _let_43 false _let_65)) :args (_let_64 true _let_63)))) (let ((_let_73 (REFL :args (_let_62)))) (let ((_let_74 (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 E)) (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13))))) (let ((_let_75 (not _let_74))) (let ((_let_76 (or _let_25 _let_75))) (let ((_let_77 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14))) (not (tptp.related SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 D E)) (tptp.in (tptp.apply_netmap SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 E) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13)))))))) (let ((_let_78 (not _let_76))) (let ((_let_79 (not _let_77))) (let ((_let_80 (= _let_44 _let_79))) (let ((_let_81 (or _let_47 _let_39 _let_32 _let_37 _let_80))) (let ((_let_82 (forall ((A $$unsorted) (BOUND_VARIABLE_1284 $$unsorted) (BOUND_VARIABLE_1282 $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (tptp.empty_carrier BOUND_VARIABLE_1282) (not (tptp.net_str BOUND_VARIABLE_1282 A)) (= (tptp.is_eventually_in A BOUND_VARIABLE_1282 BOUND_VARIABLE_1284) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.the_carrier BOUND_VARIABLE_1282))) (not (forall ((E $$unsorted)) (or (not (tptp.element E (tptp.the_carrier BOUND_VARIABLE_1282))) (not (tptp.related BOUND_VARIABLE_1282 D E)) (tptp.in (tptp.apply_netmap A BOUND_VARIABLE_1282 E) BOUND_VARIABLE_1284)))))))))))) (let ((_let_83 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_84 (_let_79))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_84)) :args _let_84)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_77))) (REFL :args (_let_78)) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_80)) :args ((or _let_45 _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 6)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_45) _let_44))) :args _let_52)) :args ((or _let_44 _let_48))) _let_54 :args (_let_44 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_47 _let_39 _let_32 _let_37 _let_80 (not _let_81)))) _let_70 _let_57 _let_58 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_83 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.is_eventually_in A BOUND_VARIABLE_1282 BOUND_VARIABLE_1284)))) :args (_let_82))) _let_83 :args (_let_81 false _let_82)) :args (_let_80 true _let_47 false _let_38 true _let_32 false _let_36 false _let_81)) :args (_let_79 false _let_44 false _let_80)) :args (_let_78 true _let_77)))) (let ((_let_86 (REFL :args (_let_76)))) (let ((_let_87 (_let_21))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_87)) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_19))) (REFL :args (_let_20)) :args _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_23 _let_21 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 0)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_24))) :args _let_52)) :args ((or _let_24 _let_76))) _let_85 :args (_let_24 true _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 0)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_23) _let_22))) :args _let_52)) :args ((or _let_22 _let_62))) _let_72 :args (_let_22 true _let_62)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_59) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_24 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element B _let_8) false)) (not (= (tptp.element BOUND_VARIABLE_1407 _let_8) false))))) :args _let_59)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or _let_46 _let_27 (not _let_29)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_48 4)) (CONG _let_55 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_28))) :args _let_52)) :args ((or _let_28 _let_48))) _let_54 :args (_let_28 true _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_31 _let_29 (not _let_33)))) _let_58 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_37 _let_30 (not _let_40)))) _let_57 _let_56 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_12 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.net_str BOUND_VARIABLE_1513 A) false))))) :args (_let_41))) _let_42 :args (_let_40 false _let_41)) :args (_let_30 false _let_38 false _let_36 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_14 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.empty_carrier A) true))))) :args (_let_34))) _let_35 :args (_let_33 false _let_34)) :args (_let_29 true _let_32 false _let_30 false _let_33)) :args (_let_27 false _let_28 false _let_29)) :args (_let_26 false _let_27)) :args (_let_21 false _let_24 false _let_22 false _let_26)) :args (_let_20 true _let_19)))) (let ((_let_89 (REFL :args (_let_18)))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 0)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_9))) :args _let_52)) :args ((or _let_9 _let_18))) _let_88 :args (_let_9 true _let_18)))) (let ((_let_91 (_let_60))) (let ((_let_92 (or _let_14 _let_17 _let_11))) (let ((_let_93 (_let_74))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_15)) :args ((or _let_14 _let_13 _let_12 (not _let_15)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_92)) :args ((or _let_14 _let_17 _let_11 (not _let_92)))) _let_90 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 1)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_52)) :args ((or _let_16 _let_18))) _let_88 :args (_let_16 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_93) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element E _let_8) false))))) :args _let_93)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 1)) (CONG _let_86 (MACRO_SR_PRED_INTRO :args ((= (not _let_75) _let_74))) :args _let_52)) :args ((or _let_74 _let_76))) _let_85 :args (_let_74 true _let_76)) :args (_let_92 false _let_74)) :args (_let_11 false _let_9 false _let_16 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_91) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element E _let_8) false))))) :args _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_62 1)) (CONG _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_60))) :args _let_52)) :args ((or _let_60 _let_62))) _let_72 :args (_let_60 true _let_62)) :args (_let_15 false _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_18 2)) (CONG _let_89 (MACRO_SR_PRED_INTRO :args ((= (not _let_13) _let_10))) :args _let_52)) :args ((or _let_10 _let_18))) _let_88 :args (_let_10 true _let_18)) _let_90 :args (false false _let_11 false _let_15 false _let_10 false _let_9)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.function A))) (forall ((A $$unsorted)) (=> (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))) (tptp.relation C))) (forall ((A $$unsorted)) (=> (tptp.rel_str A) (=> (tptp.empty_carrier A) (tptp.v1_yellow_3 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)) (=> (tptp.rel_str A) (=> (not (tptp.v1_yellow_3 A)) (not (tptp.empty_carrier A))))) _let_7 _let_6 _let_5 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (and (not (tptp.empty_carrier B)) (tptp.net_str B A)) (forall ((C $$unsorted)) (=> (tptp.element C (tptp.the_carrier B)) (= (tptp.apply_netmap A B C) (tptp.apply_on_structs B A (tptp.the_mapping A B) C)))))))) true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.the_carrier B))) (let ((_let_2 (tptp.the_carrier A))) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A) (not (tptp.empty_carrier B)) (tptp.one_sorted_str B) (tptp.function C) (tptp.quasi_total C _let_2 _let_1) (tptp.relation_of2 C _let_2 _let_1) (tptp.element D _let_2)) (tptp.element (tptp.apply_on_structs A B C D) _let_1))))) true true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A) (not (tptp.empty_carrier B)) (tptp.net_str B A) (tptp.element C (tptp.the_carrier B))) (tptp.element (tptp.apply_netmap A B C) (tptp.the_carrier A)))) (forall ((A $$unsorted)) (=> (tptp.rel_str A) (tptp.one_sorted_str A))) true _let_4 true true (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (tptp.relation_of2_as_subset C A B) (tptp.element C (tptp.powerset (tptp.cartesian_product2 A B))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (let ((_let_2 (tptp.the_carrier B))) (let ((_let_3 (tptp.the_mapping A B))) (=> (and (tptp.one_sorted_str A) (tptp.net_str B A)) (and (tptp.function _let_3) (tptp.quasi_total _let_3 _let_2 _let_1) (tptp.relation_of2_as_subset _let_3 _let_2 _let_1))))))) (exists ((A $$unsorted)) (tptp.rel_str A)) (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (exists ((B $$unsorted)) (tptp.net_str B A)))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.relation_of2 C A B))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B A))) (forall ((A $$unsorted) (B $$unsorted)) (exists ((C $$unsorted)) (tptp.relation_of2_as_subset C A B))) (and _let_3 _let_2 (tptp.relation_empty_yielding tptp.empty_set)) (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.the_mapping A B))) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A) (not (tptp.empty_carrier B)) (tptp.net_str B A)) (and (not (tptp.empty _let_1)) (tptp.relation _let_1) (tptp.function _let_1) (tptp.quasi_total _let_1 (tptp.the_carrier B) (tptp.the_carrier A)))))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (not (tptp.empty (tptp.the_carrier A))))) (forall ((A $$unsorted)) (not (tptp.empty (tptp.powerset A)))) (and _let_3 _let_2) (forall ((A $$unsorted) (B $$unsorted)) (=> (and (not (tptp.empty A)) (not (tptp.empty B))) (not (tptp.empty (tptp.cartesian_product2 A B))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) (exists ((A $$unsorted)) (and (tptp.empty A) (tptp.relation A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.empty A) (tptp.function A))) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.relation A))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.function A) (tptp.one_to_one A))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A))) (exists ((A $$unsorted)) (and (tptp.one_sorted_str A) (not (tptp.empty_carrier A)))) (exists ((A $$unsorted)) (and (tptp.relation A) (tptp.relation_empty_yielding A) (tptp.function A))) (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset (tptp.the_carrier A))) (not (tptp.empty B)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (D $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (let ((_let_2 (tptp.the_carrier B))) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A) (not (tptp.empty_carrier B)) (tptp.one_sorted_str B) (tptp.function C) (tptp.quasi_total C _let_1 _let_2) (tptp.relation_of2 C _let_1 _let_2) (tptp.element D _let_1)) (= (tptp.apply_on_structs A B C D) (tptp.apply C D)))))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.relation_of2_as_subset C A B) (tptp.relation_of2 C A B))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) _let_1 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) (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)))) true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.17/0.65  )
% 0.17/0.65  % SZS output end Proof for SEU376+1
% 0.17/0.65  % cvc5---1.0.5 exiting
% 0.17/0.65  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------