%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n014.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 11.30s 11.50s
% Output   : Proof 11.30s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem    : SEU325+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n014.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Wed Aug 23 15:50:19 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 11.30/11.50  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.PRhBkKvpa3/cvc5---1.0.5_2783.p...
% 11.30/11.50  ------- get file name : TPTP file name is SEU325+1
% 11.30/11.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_2783.smt2...
% 11.30/11.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 11.30/11.50  --- Run --no-e-matching --full-saturate-quant at 5...
% 11.30/11.50  % SZS status Theorem for SEU325+1
% 11.30/11.50  % SZS output start Proof for SEU325+1
% 11.30/11.50  (
% 11.30/11.50  (let ((_let_1 (not (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (forall ((B $$unsorted)) (=> (tptp.element B (tptp.powerset (tptp.powerset (tptp.the_carrier A)))) (not (and (tptp.is_a_cover_of_carrier A B) (= B tptp.empty_set)))))))))) (let ((_let_2 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (not (and (tptp.in A B) (tptp.element B (tptp.powerset C)) (tptp.empty C)))))) (let ((_let_3 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.element A (tptp.powerset B)) (tptp.subset A B))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (tptp.subset A A)))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (=> (tptp.element B (tptp.powerset (tptp.powerset A))) (= (tptp.union_of_subsets A B) (tptp.union B)))))) (let ((_let_6 (tptp.empty tptp.empty_set))) (let ((_let_7 (and _let_6 (tptp.v1_membered tptp.empty_set) (tptp.v2_membered tptp.empty_set) (tptp.v3_membered tptp.empty_set) (tptp.v4_membered tptp.empty_set) (tptp.v5_membered tptp.empty_set)))) (let ((_let_8 (forall ((A $$unsorted)) (=> (and (not (tptp.empty_carrier A)) (tptp.one_sorted_str A)) (not (tptp.empty (tptp.cast_as_carrier_subset A))))))) (let ((_let_9 (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (forall ((B $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (=> (tptp.element B (tptp.powerset (tptp.powerset _let_1))) (= (tptp.is_a_cover_of_carrier A B) (= (tptp.cast_as_carrier_subset A) (tptp.union_of_subsets _let_1 B)))))))))) (let ((_let_10 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (exists ((D $$unsorted)) (and (tptp.in C D) (tptp.in D A))))))))) (let ((_let_11 (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (= (tptp.cast_as_carrier_subset A) (tptp.the_carrier A)))))) (let ((_let_12 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (or (not (tptp.in A B)) (not (tptp.element B (tptp.powerset C))) (not (tptp.empty C)))))) (let ((_let_13 (not _let_6))) (let ((_let_14 (tptp.element tptp.empty_set (tptp.powerset tptp.empty_set)))) (let ((_let_15 (not _let_14))) (let ((_let_16 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183 tptp.empty_set))) (let ((_let_17 (not _let_16))) (let ((_let_18 (or _let_17 _let_15 _let_13))) (let ((_let_19 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_20 (not _let_18))) (let ((_let_21 (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_174 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183)) _let_17))) (let ((_let_22 (forall ((D $$unsorted)) (or (not (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_174 D)) (not (tptp.in D tptp.empty_set)))))) (let ((_let_23 (not _let_21))) (let ((_let_24 (not _let_22))) (let ((_let_25 (tptp.in SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_174 tptp.empty_set))) (let ((_let_26 (= _let_25 _let_24))) (let ((_let_27 (forall ((C $$unsorted)) (= (tptp.in C tptp.empty_set) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D tptp.empty_set))))))))) (let ((_let_28 (not _let_26))) (let ((_let_29 (tptp.union tptp.empty_set))) (let ((_let_30 (= tptp.empty_set _let_29))) (let ((_let_31 (= _let_30 _let_27))) (let ((_let_32 (not _let_27))) (let ((_let_33 (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.union A)) (forall ((C $$unsorted)) (= (tptp.in C B) (not (forall ((D $$unsorted)) (or (not (tptp.in C D)) (not (tptp.in D A))))))))))) (let ((_let_34 (EQ_RESOLVE (ASSUME :args (_let_10)) (MACRO_SR_EQ_INTRO :args (_let_10 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_35 (tptp.empty_set tptp.empty_set QUANTIFIERS_INST_ENUM))) (let ((_let_36 (tptp.cast_as_carrier_subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_37 (tptp.the_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (= _let_37 _let_36))) (let ((_let_39 (tptp.empty _let_36))) (let ((_let_40 (tptp.union_of_subsets _let_37 tptp.empty_set))) (let ((_let_41 (= _let_36 _let_40))) (let ((_let_42 (= _let_29 _let_40))) (let ((_let_43 (not _let_30))) (let ((_let_44 (AND_ELIM (ASSUME :args (_let_7)) :args (0)))) (let ((_let_45 (tptp.one_sorted_str SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_46 (not _let_45))) (let ((_let_47 (or _let_46 _let_38))) (let ((_let_48 (forall ((A $$unsorted)) (or (not (tptp.one_sorted_str A)) (= (tptp.cast_as_carrier_subset A) (tptp.the_carrier A)))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_11)) (MACRO_SR_EQ_INTRO :args (_let_11 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_ENUM))) (let ((_let_51 (tptp.is_a_cover_of_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.empty_set))) (let ((_let_52 (not _let_51))) (let ((_let_53 (tptp.element tptp.empty_set (tptp.powerset (tptp.powerset _let_37))))) (let ((_let_54 (not _let_53))) (let ((_let_55 (tptp.empty_carrier SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_56 (or _let_55 _let_46 _let_54 _let_52))) (let ((_let_57 (forall ((A $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (not (tptp.element tptp.empty_set (tptp.powerset (tptp.powerset (tptp.the_carrier A))))) (not (tptp.is_a_cover_of_carrier A tptp.empty_set)))))) (let ((_let_58 (not _let_56))) (let ((_let_59 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_60 (or))) (let ((_let_61 (not _let_57))) (let ((_let_62 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_59) :args (_let_61))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_57))) (REFL :args (_let_58)) :args _let_60)) _let_59 :args (_let_58 true _let_57)))) (let ((_let_63 (REFL :args (_let_56)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 1)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_46) _let_45))) :args _let_60)) :args ((or _let_45 _let_56))) _let_62 :args (_let_45 true _let_56)))) (let ((_let_65 (not _let_39))) (let ((_let_66 (or _let_55 _let_46 _let_65))) (let ((_let_67 (forall ((A $$unsorted)) (or (tptp.empty_carrier A) (not (tptp.one_sorted_str A)) (not (tptp.empty (tptp.cast_as_carrier_subset A))))))) (let ((_let_68 (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_69 (= _let_51 _let_41))) (let ((_let_70 (or _let_46 _let_54 _let_69))) (let ((_let_71 (forall ((A $$unsorted) (BOUND_VARIABLE_1338 $$unsorted)) (let ((_let_1 (tptp.the_carrier A))) (or (not (tptp.one_sorted_str A)) (not (tptp.element BOUND_VARIABLE_1338 (tptp.powerset (tptp.powerset _let_1)))) (= (tptp.is_a_cover_of_carrier A BOUND_VARIABLE_1338) (= (tptp.cast_as_carrier_subset A) (tptp.union_of_subsets _let_1 BOUND_VARIABLE_1338)))))))) (let ((_let_72 (EQ_RESOLVE (ASSUME :args (_let_9)) (MACRO_SR_EQ_INTRO :args (_let_9 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 2)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_53))) :args _let_60)) :args ((or _let_53 _let_56))) _let_62 :args (_let_53 true _let_56)))) (let ((_let_74 (or _let_54 _let_42))) (let ((_let_75 (forall ((A $$unsorted) (B $$unsorted)) (or (not (tptp.element B (tptp.powerset (tptp.powerset A)))) (= (tptp.union_of_subsets A B) (tptp.union B)))))) (let ((_let_76 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_77 (not _let_42))) (let ((_let_78 (not _let_41))) (let ((_let_79 (not _let_38))) (let ((_let_80 (ASSUME :args (_let_6)))) (let ((_let_81 (APPLY_UF tptp.empty))) (let ((_let_82 (ASSUME :args (_let_30)))) (let ((_let_83 (ASSUME :args (_let_42)))) (let ((_let_84 (ASSUME :args (_let_41)))) (let ((_let_85 (ASSUME :args (_let_38)))) (let ((_let_86 (SYMM _let_85))) (let ((_let_87 (ASSUME :args (_let_65)))) (let ((_let_88 (_let_32))) (let ((_let_89 (not _let_25))) (let ((_let_90 (or _let_89 _let_15 _let_13))) (let ((_let_91 (_let_12))) (let ((_let_92 (tptp.subset tptp.empty_set tptp.empty_set))) (let ((_let_93 (= _let_92 _let_14))) (let ((_let_94 (_let_3))) (let ((_let_95 (ASSUME :args _let_94))) (let ((_let_96 (forall ((A $$unsorted)) (tptp.subset A A)))) (let ((_let_97 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_98 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_93)) :args ((or _let_14 (not _let_92) (not _let_93)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_96))) _let_97 :args (_let_92 false _let_96)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_95 :args _let_35) :args _let_94))) _let_95 :args (_let_93 false _let_3)) :args (_let_14 false _let_92 false _let_93)))) (let ((_let_99 (_let_24))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_183 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_18)) :args ((or _let_13 _let_15 _let_17 _let_20))) _let_44 _let_98 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_21 1)) (CONG (REFL :args (_let_21)) (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_16))) :args _let_60)) :args ((or _let_16 _let_21))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_99)) :args _let_99)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_22))) (REFL :args (_let_23)) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args (_let_26)) :args ((or _let_25 _let_24 _let_26))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_13 _let_15 _let_89 (not _let_90)))) _let_44 _let_98 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_19 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_174 tptp.empty_set tptp.empty_set QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_91)) _let_19 :args (_let_90 false _let_12)) :args (_let_89 false _let_6 false _let_14 false _let_90)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_88)) :args _let_88)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_27))) (REFL :args (_let_28)) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_31)) :args ((or _let_30 _let_32 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_80 _let_82 _let_83 _let_84 _let_85 _let_87) :args (_let_6 _let_30 _let_38 _let_65 _let_41 _let_42)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_87)) (CONG _let_86 :args _let_81) (CONG (TRANS (SYMM _let_86) (SYMM (SYMM _let_84)) (SYMM _let_83) (SYMM _let_82)) :args _let_81) (TRUE_INTRO _let_80))) :args (_let_6 _let_30 _let_42 _let_41 _let_38 _let_65)) :args ((not (and _let_6 _let_30 _let_38 _let_65 _let_41 _let_42)) SB_LITERAL))) (CONG (REFL :args (_let_13)) (REFL :args (_let_43)) (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_39))) (REFL :args (_let_78)) (REFL :args (_let_77)) :args _let_60)) :args ((or _let_13 _let_43 _let_39 _let_79 _let_78 _let_77))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_54 _let_42 (not _let_74)))) _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_37 tptp.empty_set QUANTIFIERS_INST_CBQI_PROP)) :args (_let_75)))) _let_76 :args (_let_74 false _let_75)) :args (_let_42 false _let_53 false _let_74)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or _let_52 _let_41 (not _let_69)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_56 3)) (CONG _let_63 (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_60)) :args ((or _let_51 _let_56))) _let_62 :args (_let_51 true _let_56)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_46 _let_54 _let_69 (not _let_70)))) _let_64 _let_73 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 tptp.empty_set QUANTIFIERS_INST_ENUM)) :args (_let_71))) _let_72 :args (_let_70 false _let_71)) :args (_let_69 false _let_45 false _let_53 false _let_70)) :args (_let_41 false _let_51 false _let_69)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_55 _let_46 _let_65 (not _let_66)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_56 0)) _let_62 :args ((not _let_55) true _let_56)) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args _let_50) :args (_let_67))) _let_68 :args (_let_66 false _let_67)) :args (_let_65 true _let_55 false _let_45 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_38 (not _let_47)))) _let_64 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args _let_50) :args (_let_48)))) _let_49 :args (_let_47 false _let_48)) :args (_let_38 false _let_45 false _let_47)) _let_44 :args (_let_43 false _let_42 false _let_41 true _let_39 false _let_38 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_34 :args _let_35) :args (_let_33))) _let_34 :args (_let_31 false _let_33)) :args (_let_32 true _let_30 false _let_31)) :args (_let_28 true _let_27)) :args (_let_24 true _let_25 true _let_26)) :args (_let_23 true _let_22)) :args (_let_16 true _let_21)) :args (_let_20 false _let_6 false _let_14 false _let_16)) _let_19 :args (false true _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_11 _let_10 _let_9 true true (forall ((A $$unsorted)) (=> (tptp.one_sorted_str A) (tptp.element (tptp.cast_as_carrier_subset A) (tptp.powerset (tptp.the_carrier A))))) true (forall ((A $$unsorted) (B $$unsorted)) (let ((_let_1 (tptp.powerset A))) (=> (tptp.element B (tptp.powerset _let_1)) (tptp.element (tptp.union_of_subsets A B) _let_1)))) true true true (exists ((A $$unsorted)) (tptp.one_sorted_str A)) (forall ((A $$unsorted)) (exists ((B $$unsorted)) (tptp.element B 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)))) _let_8 _let_7 (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 $$unsorted)) (and (tptp.element B (tptp.powerset A)) (tptp.empty B)))) (exists ((A $$unsorted)) (and (tptp.one_sorted_str A) (not (tptp.empty_carrier 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)))))) _let_5 _let_4 (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_3 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (=> (and (tptp.in A B) (tptp.element B (tptp.powerset C))) (tptp.element A C))) _let_2 _let_1 (forall ((A $$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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 11.30/11.50  )
% 11.30/11.50  % SZS output end Proof for SEU325+1
% 11.30/11.50  % cvc5---1.0.5 exiting
% 11.30/11.50  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------