%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU318+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n005.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 25.86s 26.26s
% Output   : Proof 25.86s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SEU318+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.15  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n005.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
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Wed Aug 23 18:46:09 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 25.86/26.26  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.aNgd0xQhWl/cvc5---1.0.5_10464.p...
% 25.86/26.26  ------- get file name : TPTP file name is SEU318+1
% 25.86/26.26  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_10464.smt2...
% 25.86/26.26  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 25.86/26.26  --- Run --no-e-matching --full-saturate-quant at 5...
% 25.86/26.26  --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 5...
% 25.86/26.26  --- Run --finite-model-find --uf-ss=no-minimal at 5...
% 25.86/26.26  --- Run --multi-trigger-when-single --full-saturate-quant at 5...
% 25.86/26.26  % SZS status Theorem for SEU318+1
% 25.86/26.26  % SZS output start Proof for SEU318+1
% 25.86/26.26  (
% 25.86/26.26  (let ((_let_1 (not (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_2 (forall ((A $$unsorted)) (=> (tptp.top_str A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset (tptp.the_carrier A))) (tptp.subset B (tptp.topstr_closure A B)))))))) (let ((_let_3 (forall ((A $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset (tptp.the_carrier A))) (exists ((C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (and (tptp.element C (tptp.powerset (tptp.powerset _let_1))) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.powerset (tptp.the_carrier A))) (= (tptp.in D C) (and (tptp.closed_subset D A) (tptp.subset B D))))) (= (tptp.topstr_closure A B) (tptp.meet_of_subsets _let_1 C))))))))))) (let ((_let_4 (forall ((A $$unsorted)) (=> (tptp.top_str A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset (tptp.the_carrier A))) (forall ((C $$unsorted)) (=> (tptp.in C (tptp.the_carrier A)) (= (tptp.in C (tptp.topstr_closure A B)) (forall ((D $$unsorted)) (=> (tptp.element D (tptp.powerset (tptp.the_carrier A))) (=> (and (tptp.closed_subset D A) (tptp.subset B D)) (tptp.in C D))))))))))))) (let ((_let_5 (forall ((A $$unsorted)) (=> (and (tptp.topological_space A) (tptp.top_str A)) (forall ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element B (tptp.powerset (tptp.powerset _let_1))) (=> (forall ((C $$unsorted)) (=> (tptp.element C (tptp.powerset (tptp.the_carrier A))) (=> (tptp.in C B) (tptp.closed_subset C A)))) (tptp.closed_subset (tptp.meet_of_subsets _let_1 B) A))))))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))))) (let ((_let_7 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (=> (and (tptp.top_str A) (tptp.element B _let_1)) (tptp.element (tptp.topstr_closure A B) _let_1)))))) (let ((_let_8 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (=> (tptp.in C A) (tptp.in C B))))))) (let ((_let_9 (forall ((A $$unsorted) (B $$unsorted)) (= (= A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_10 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_11 (tptp.powerset _let_10))) (let ((_let_12 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 _let_11))) (let ((_let_13 (tptp.closed_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_14 (and _let_13 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44)))) (let ((_let_15 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_16 (= _let_15 _let_14))) (let ((_let_17 (not _let_12))) (let ((_let_18 (or _let_17 _let_16))) (let ((_let_19 (not _let_15))) (let ((_let_20 (or _let_17 _let_19 _let_13))) (let ((_let_21 (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.powerset (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (not (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33)) (tptp.closed_subset C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_22 (not _let_20))) (let ((_let_23 (tptp.meet_of_subsets _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33))) (let ((_let_24 (tptp.closed_subset _let_23 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_25 (not _let_21))) (let ((_let_26 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 (tptp.powerset _let_11)))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.top_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_29 (not _let_28))) (let ((_let_30 (tptp.topological_space SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_31 (not _let_30))) (let ((_let_32 (or _let_31 _let_29 _let_27 _let_25 _let_24))) (let ((_let_33 (forall ((A $$unsorted) (BOUND_VARIABLE_1497 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1497 (tptp.powerset (tptp.powerset _let_1)))) (not (forall ((C $$unsorted)) (or (not (tptp.element C (tptp.powerset (tptp.the_carrier A)))) (not (tptp.in C BOUND_VARIABLE_1497)) (tptp.closed_subset C A)))) (tptp.closed_subset (tptp.meet_of_subsets _let_1 BOUND_VARIABLE_1497) A)))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (tptp.topstr_closure SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_36 (= _let_35 _let_23))) (let ((_let_37 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_35))) (let ((_let_38 (tptp.closed_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_39 (not _let_24))) (let ((_let_40 (not _let_36))) (let ((_let_41 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.powerset (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (= (and (tptp.closed_subset D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 D)) (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33)))))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_27 _let_42 _let_40))) (let ((_let_44 (forall ((C $$unsorted)) (let ((_let_1 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (or (not (tptp.element C (tptp.powerset (tptp.powerset _let_1)))) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.powerset (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (= (tptp.in D C) (and (tptp.closed_subset D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 D)))))) (not (= (tptp.topstr_closure SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6) (tptp.meet_of_subsets _let_1 C)))))))) (let ((_let_45 (not _let_43))) (let ((_let_46 (not _let_44))) (let ((_let_47 (tptp.element SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_11))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_31 _let_29 _let_48 _let_46))) (let ((_let_50 (forall ((A $$unsorted) (BOUND_VARIABLE_1604 $$unsorted)) (or (not (tptp.topological_space A)) (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1604 (tptp.powerset (tptp.the_carrier A)))) (not (forall ((C $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.element C (tptp.powerset (tptp.powerset _let_1)))) (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.powerset (tptp.the_carrier A)))) (= (tptp.in D C) (and (tptp.closed_subset D A) (tptp.subset BOUND_VARIABLE_1604 D)))))) (not (= (tptp.meet_of_subsets _let_1 C) (tptp.topstr_closure A BOUND_VARIABLE_1604))))))))))) (let ((_let_51 (EQ_RESOLVE (ASSUME :args (_let_3)) (MACRO_SR_EQ_INTRO :args (_let_3 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_52 (not _let_37))) (let ((_let_53 (or _let_31 _let_52 _let_38))) (let ((_let_54 (not _let_38))) (let ((_let_55 (or _let_54 _let_37))) (let ((_let_56 (and _let_55 _let_53))) (let ((_let_57 (tptp.subset _let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_58 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_35))) (let ((_let_59 (and _let_58 _let_57))) (let ((_let_60 (= _let_37 _let_59))) (let ((_let_61 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.topstr_closure SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (tptp.in C SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))))) (let ((_let_62 (= _let_57 _let_61))) (let ((_let_63 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_64 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_35))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_63))) (let ((_let_67 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 _let_10))) (let ((_let_68 (or _let_65 _let_67))) (let ((_let_69 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_48 _let_54 _let_70 _let_63))) (let ((_let_72 (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.powerset (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (not (tptp.closed_subset D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 D)) (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 D))))) (let ((_let_73 (= _let_64 _let_72))) (let ((_let_74 (not _let_67))) (let ((_let_75 (or _let_29 _let_48 _let_74 _let_73))) (let ((_let_76 (or _let_29 _let_48 _let_56))) (let ((_let_77 (forall ((A $$unsorted) (BOUND_VARIABLE_1684 $$unsorted)) (let ((_let_1 (tptp.closed_subset BOUND_VARIABLE_1684 A))) (let ((_let_2 (= BOUND_VARIABLE_1684 (tptp.topstr_closure A BOUND_VARIABLE_1684)))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1684 (tptp.powerset (tptp.the_carrier A)))) (and (or (not _let_1) _let_2) (or (not (tptp.topological_space A)) (not _let_2) _let_1)))))))) (let ((_let_78 (not _let_76))) (let ((_let_79 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_80 (or))) (let ((_let_81 (not _let_77))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_79) :args (_let_81))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_77))) (REFL :args (_let_78)) :args _let_80)) _let_79 :args (_let_78 true _let_77)))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_76 2)) _let_82 :args ((not _let_56) true _let_76)))) (let ((_let_84 (CNF_AND_NEG :args (_let_56)))) (let ((_let_85 (_let_9))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 (or _let_29 _let_48 _let_58))) (let ((_let_88 (forall ((A $$unsorted) (BOUND_VARIABLE_1641 $$unsorted)) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1641 (tptp.powerset (tptp.the_carrier A)))) (tptp.subset BOUND_VARIABLE_1641 (tptp.topstr_closure A BOUND_VARIABLE_1641)))))) (let ((_let_89 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_90 (REFL :args (_let_76)))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 1)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_48) _let_47))) :args _let_80)) :args ((or _let_47 _let_76))) _let_82 :args (_let_47 true _let_76)))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_76 0)) (CONG _let_90 (MACRO_SR_PRED_INTRO :args ((= (not _let_29) _let_28))) :args _let_80)) :args ((or _let_28 _let_76))) _let_82 :args (_let_28 true _let_76)))) (let ((_let_93 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((C $$unsorted)) (or (not (tptp.in C A)) (tptp.in C B))))))) (let ((_let_94 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_95 (_let_93))) (let ((_let_96 ((tptp.subset A B)))) (let ((_let_97 (not _let_61))) (let ((_let_98 (_let_97))) (let ((_let_99 (forall ((C $$unsorted)) (or (not (tptp.in C (tptp.topstr_closure SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (tptp.in C (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))))) (let ((_let_100 (tptp.subset _let_35 _let_10))) (let ((_let_101 (= _let_100 _let_99))) (let ((_let_102 (tptp.element _let_35 _let_11))) (let ((_let_103 (= _let_102 _let_100))) (let ((_let_104 (_let_6))) (let ((_let_105 (ASSUME :args _let_104))) (let ((_let_106 (or _let_29 _let_48 _let_102))) (let ((_let_107 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset (tptp.the_carrier A)))) (or (not (tptp.top_str A)) (not (tptp.element B _let_1)) (tptp.element (tptp.topstr_closure A B) _let_1)))))) (let ((_let_108 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_109 (_let_99))) (let ((_let_110 (forall ((A $$unsorted) (BOUND_VARIABLE_1556 $$unsorted) (BOUND_VARIABLE_1554 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.top_str A)) (not (tptp.element BOUND_VARIABLE_1554 (tptp.powerset _let_1))) (not (tptp.in BOUND_VARIABLE_1556 _let_1)) (= (tptp.in BOUND_VARIABLE_1556 (tptp.topstr_closure A BOUND_VARIABLE_1554)) (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.powerset (tptp.the_carrier A)))) (not (tptp.closed_subset D A)) (not (tptp.subset BOUND_VARIABLE_1554 D)) (tptp.in BOUND_VARIABLE_1556 D))))))))) (let ((_let_111 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_112 (_let_72))) (let ((_let_113 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_73)) :args ((or _let_65 _let_72 (not _let_73)))) (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_112) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.element D _let_11) false))))) :args _let_112)) (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_29 _let_48 _let_74 _let_73 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_111 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_PROP)) :args (_let_110))) _let_111 :args (_let_75 false _let_110)) _let_91 _let_92 (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_48 _let_54 _let_63 _let_70 (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_85))) _let_86 :args (_let_69 false _let_9)) _let_91 (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_65 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_109) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_15 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_101)) :args ((or (not _let_100) _let_99 (not _let_101)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_103)) :args ((or (not _let_102) _let_100 (not _let_103)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_29 _let_48 _let_102 (not _let_106)))) _let_92 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_108 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.topstr_closure A B)))) :args (_let_107))) _let_108 :args (_let_106 false _let_107)) :args (_let_102 false _let_28 false _let_47 false _let_106)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_105 :args (_let_35 _let_10 QUANTIFIERS_INST_E_MATCHING ((tptp.element A (tptp.powerset B))))) :args _let_104)) _let_105 :args (_let_103 false _let_6)) :args (_let_100 false _let_102 false _let_103)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_35 _let_10 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_101 false _let_93)) :args (_let_99 false _let_100 false _let_101)) :args (_let_68 false _let_99)) (CNF_OR_NEG :args (_let_66 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_66 0)) (CONG (REFL :args (_let_66)) (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_64))) :args _let_80)) :args ((or _let_64 _let_66))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_98)) :args _let_98)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_97) _let_61))) (REFL :args ((not _let_66))) :args _let_80)) (REORDERING (CNF_EQUIV_POS2 :args (_let_62)) :args ((or _let_57 _let_97 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_94 :args (_let_35 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_96)) :args _let_95)) _let_94 :args (_let_62 false _let_93)) (REORDERING (CNF_AND_NEG :args (_let_59)) :args ((or (not _let_58) _let_59 (not _let_57)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_29 _let_48 _let_58 (not _let_87)))) _let_92 _let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_1641 (tptp.powerset (tptp.the_carrier A))) false))))) :args (_let_88))) _let_89 :args (_let_87 false _let_88)) :args (_let_58 false _let_28 false _let_47 false _let_87)) (REORDERING (CNF_EQUIV_POS2 :args (_let_60)) :args ((or _let_37 (not _let_59) (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_35 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args _let_85)) _let_86 :args (_let_60 false _let_9)) (CNF_OR_NEG :args (_let_55 1)) _let_84 _let_83 (REORDERING (CNF_OR_NEG :args (_let_53 2)) :args ((or _let_54 _let_53))) :args (_let_54 true _let_72 false _let_73 false _let_75 false _let_47 false _let_28 true _let_71 false _let_69 false _let_47 false _let_67 false _let_68 true _let_63 false _let_64 true _let_66 true _let_61 false _let_62 true _let_57 false _let_58 true _let_59 false _let_60 true _let_37 true _let_55 true _let_56 false _let_53)))) (let ((_let_114 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_38))))) (let ((_let_115 (MACRO_RESOLUTION_TRUST _let_84 _let_83 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_55 0)) (CONG (REFL :args (_let_55)) _let_114 :args _let_80)) :args ((or _let_38 _let_55))) _let_113 :args (_let_55 true _let_38)) :args ((not _let_53) true _let_56 false _let_55)))) (let ((_let_116 (REFL :args (_let_53)))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))) :args _let_80)) :args ((or _let_30 _let_53))) _let_115 :args (_let_30 true _let_53)))) (let ((_let_118 (_let_46))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (EQ_RESOLVE (SCOPE (SKOLEMIZE (ASSUME :args _let_118)) :args _let_118) (REWRITE :args ((=> _let_46 (not (or _let_27 (not (forall ((D $$unsorted)) (or (not (tptp.element D (tptp.powerset (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (= (tptp.in D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33) (and (tptp.closed_subset D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 D)))))) _let_40))))))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_44))) (REFL :args (_let_45)) :args _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_29 _let_48 _let_31 _let_46 (not _let_49)))) _let_92 _let_91 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_1604 (tptp.powerset (tptp.the_carrier A))) false))))) :args (_let_50)))) _let_51 :args (_let_49 false _let_50)) :args (_let_46 false _let_28 false _let_47 false _let_30 false _let_49)) :args (_let_45 true _let_44)))) (let ((_let_120 (REFL :args (_let_43)))) (let ((_let_121 (and _let_54 _let_37 _let_36))) (let ((_let_122 (_let_54 _let_37 _let_36))) (let ((_let_123 (ASSUME :args (_let_54)))) (let ((_let_124 (APPLY_UF tptp.closed_subset))) (let ((_let_125 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)))) (let ((_let_126 (ASSUME :args (_let_37)))) (let ((_let_127 (ASSUME :args (_let_36)))) (let ((_let_128 (_let_25))) (let ((_let_129 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_128)) :args _let_128)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_25) _let_21))) (REFL :args (_let_22)) :args _let_80)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_31 _let_27 _let_25 _let_24 (not _let_32)))) _let_92 _let_117 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 0)) (CONG _let_120 (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_26))) :args _let_80)) :args ((or _let_26 _let_43))) _let_119 :args (_let_26 true _let_43)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_121)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_123 _let_126 _let_127) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM _let_127) _let_125 :args _let_124) (CONG (SYMM _let_126) _let_125 :args _let_124) (FALSE_INTRO _let_123))) :args _let_122)) :args _let_122)) :args (true _let_121)) (CONG _let_114 (REFL :args (_let_52)) (REFL :args (_let_40)) (REFL :args (_let_39)) :args _let_80)) _let_113 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 1)) (CONG _let_116 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_37))) :args _let_80)) :args ((or _let_37 _let_53))) _let_115 :args (_let_37 true _let_53)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 2)) (CONG _let_120 (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) :args _let_80)) :args ((or _let_36 _let_43))) _let_119 :args (_let_36 true _let_43)) :args (_let_39 true _let_38 false _let_37 false _let_36)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_33 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.element BOUND_VARIABLE_1497 (tptp.powerset (tptp.powerset (tptp.the_carrier A)))) false))))) :args (_let_33))) _let_34 :args (_let_32 false _let_33)) :args (_let_25 false _let_28 false _let_30 false _let_26 true _let_24 false _let_32)) :args (_let_22 true _let_21)))) (let ((_let_130 (REFL :args (_let_20)))) (let ((_let_131 (_let_41))) (let ((_let_132 (not _let_16))) (let ((_let_133 (not _let_14))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_17 _let_16 (not _let_18)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_16)) :args ((or _let_19 _let_14 _let_132))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 1)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_15))) :args _let_80)) :args ((or _let_15 _let_20))) _let_129 :args (_let_15 true _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_14 0)) :args ((or _let_13 _let_133))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_20 2)) _let_129 :args ((not _let_13) true _let_20)) :args (_let_133 true _let_13)) :args (_let_132 false _let_15 true _let_14)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_131) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_44 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_131))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_43 1)) (CONG _let_120 (MACRO_SR_PRED_INTRO :args ((= (not _let_42) _let_41))) :args _let_80)) :args ((or _let_41 _let_43))) _let_119 :args (_let_41 true _let_43)) :args (_let_18 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG _let_130 (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_12))) :args _let_80)) :args ((or _let_12 _let_20))) _let_129 :args (_let_12 true _let_20)) :args (false true _let_16 false _let_18 false _let_12)) :args ((forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (not (tptp.in B A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (tptp.v1_xcmplx_0 B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (and (tptp.v1_xcmplx_0 B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.element B A) (and (tptp.v1_xcmplx_0 B) (tptp.natural B) (tptp.v1_xreal_0 B) (tptp.v1_int_1 B) (tptp.v1_rat_1 B)))))) (forall ((A $$unsorted)) (=> (tptp.empty A) (and (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A)))) (forall ((A $$unsorted)) (=> (tptp.v1_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (tptp.v1_membered B))))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (and (tptp.v1_membered B) (tptp.v2_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (tptp.v4_membered A))) (forall ((A $$unsorted)) (=> (tptp.v5_membered A) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset A)) (and (tptp.v1_membered B) (tptp.v2_membered B) (tptp.v3_membered B) (tptp.v4_membered B) (tptp.v5_membered B)))))) (forall ((A $$unsorted)) (=> (tptp.v4_membered A) (tptp.v3_membered A))) (forall ((A $$unsorted)) (=> (tptp.v3_membered A) (tptp.v2_membered A))) (forall ((A $$unsorted)) (=> (tptp.v2_membered A) (tptp.v1_membered A))) _let_9 _let_8 true true true _let_7 (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset A))) (=> (tptp.element B (tptp.powerset _let_1)) (tptp.element (tptp.meet_of_subsets A B) _let_1)))) (forall ((A $$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 $$unsorted)) (not (tptp.empty (tptp.powerset A)))) (and (tptp.empty tptp.empty_set) (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set)) (exists ((A $$unsorted)) (and (not (tptp.empty A)) (tptp.v1_membered A) (tptp.v2_membered A) (tptp.v3_membered A) (tptp.v4_membered A) (tptp.v5_membered A))) (forall ((A $$unsorted)) (=> (not (tptp.empty A)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (not (tptp.empty B)))))) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (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 (tptp.powerset A))) (= (tptp.meet_of_subsets A B) (tptp.set_meet B)))) (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.in A B) (tptp.element A B))) (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element A B) (or (tptp.empty B) (tptp.in A B)))) _let_6 _let_5 _let_4 _let_3 _let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 25.86/26.26  )
% 25.86/26.26  % SZS output end Proof for SEU318+1
% 25.86/26.26  % cvc5---1.0.5 exiting
% 25.86/26.26  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------