%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SEV521+1 : TPTP v8.1.2. Released v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n027.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 19:22:43 EDT 2023

% Result   : Theorem 0.20s 0.54s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SEV521+1 : TPTP v8.1.2. Released v7.3.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n027.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 04:06:47 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.54  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.SSJx9wNsIh/cvc5---1.0.5_300.p...
% 0.20/0.54  ------- get file name : TPTP file name is SEV521+1
% 0.20/0.54  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_300.smt2...
% 0.20/0.54  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.54  % SZS status Theorem for SEV521+1
% 0.20/0.54  % SZS output start Proof for SEV521+1
% 0.20/0.54  (
% 0.20/0.54  (let ((_let_1 (not (forall ((E $$unsorted)) (=> (not (= E tptp.empty_set)) (tptp.partition (tptp.singleton E) E)))))) (let ((_let_2 (forall ((A $$unsorted) (E $$unsorted)) (= (tptp.partition A E) (and (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.subset X E))) (forall ((X $$unsorted)) (=> (tptp.member X E) (exists ((Y $$unsorted)) (and (tptp.member Y A) (tptp.member X Y))))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.member X A) (tptp.member Y A)) (=> (exists ((Z $$unsorted)) (and (tptp.member Z X) (tptp.member Z Y))) (= X Y))))))))) (let ((_let_3 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.singleton A)) (= X A))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_5 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_6 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_7 (_let_3))) (let ((_let_8 (ASSUME :args _let_7))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (not _let_9))) (let ((_let_11 (not _let_6))) (let ((_let_12 (or _let_11 _let_10))) (let ((_let_13 (forall ((Y $$unsorted)) (or (not (tptp.member Y (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Y)))))) (let ((_let_14 (not _let_13))) (let ((_let_15 (or _let_10 _let_14))) (let ((_let_16 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (not (tptp.member X Y))))))))) (let ((_let_17 (not _let_15))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_962 $$unsorted)) (let ((_let_1 (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (or (not (tptp.member X _let_1)) (not (tptp.member Y _let_1)) (= X Y) (not (tptp.member BOUND_VARIABLE_962 X)) (not (tptp.member BOUND_VARIABLE_962 Y))))))) (let ((_let_19 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.singleton SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (tptp.subset X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_20 (and _let_19 _let_16 _let_18))) (let ((_let_21 (not _let_16))) (let ((_let_22 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_23 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_5))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 _let_5))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_22 (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6)) (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))))) (let ((_let_28 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6))) (let ((_let_29 (= _let_25 _let_28))) (let ((_let_30 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7))) (let ((_let_31 (= _let_23 _let_30))) (let ((_let_32 (or))) (let ((_let_33 (REFL :args (_let_27)))) (let ((_let_34 ((tptp.member X (tptp.singleton A))))) (let ((_let_35 (not _let_22))) (let ((_let_36 (and _let_35 _let_28))) (let ((_let_37 (_let_35 _let_28))) (let ((_let_38 (ASSUME :args (_let_35)))) (let ((_let_39 (ASSUME :args (_let_28)))) (let ((_let_40 (not _let_18))) (let ((_let_41 (_let_40))) (let ((_let_42 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 _let_5))) (let ((_let_44 (not _let_43))) (let ((_let_45 (or _let_44 _let_42))) (let ((_let_46 (= SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_47 (= _let_43 _let_46))) (let ((_let_48 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_49 (= _let_42 _let_48))) (let ((_let_50 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50))) (let ((_let_54 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_55 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_56 (not _let_48))) (let ((_let_57 (_let_56))) (let ((_let_58 (and _let_46 _let_51))) (let ((_let_59 (ASSUME :args (_let_51)))) (let ((_let_60 (ASSUME :args (_let_46)))) (let ((_let_61 (not _let_19))) (let ((_let_62 (_let_61))) (let ((_let_63 (tptp.partition _let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_64 (= _let_63 _let_20))) (let ((_let_65 (not _let_20))) (let ((_let_66 (forall ((A $$unsorted) (E $$unsorted)) (= (tptp.partition A E) (and (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.subset X E))) (forall ((X $$unsorted)) (or (not (tptp.member X E)) (not (forall ((Y $$unsorted)) (or (not (tptp.member Y A)) (not (tptp.member X Y))))))) (forall ((X $$unsorted) (Y $$unsorted) (BOUND_VARIABLE_962 $$unsorted)) (or (not (tptp.member X A)) (not (tptp.member Y A)) (= X Y) (not (tptp.member BOUND_VARIABLE_962 X)) (not (tptp.member BOUND_VARIABLE_962 Y))))))))) (let ((_let_67 (EQ_RESOLVE (ASSUME :args (_let_2)) (MACRO_SR_EQ_INTRO :args (_let_2 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_68 (or (= tptp.empty_set SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_63))) (let ((_let_69 (forall ((E $$unsorted)) (or (= tptp.empty_set E) (tptp.partition (tptp.singleton E) E))))) (let ((_let_70 (not _let_68))) (let ((_let_71 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_72 (not _let_69))) (let ((_let_73 (_let_21))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_73)) :args _let_73)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_21) _let_16))) (REFL :args (_let_17)) :args _let_32)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_64)) :args ((or _let_63 _let_65 (not _let_64)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_68 1)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_71) :args (_let_72))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_69))) (REFL :args (_let_70)) :args _let_32)) _let_71 :args (_let_70 true _let_69)) :args ((not _let_63) true _let_68)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_67 :args (_let_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.partition A E)))) :args (_let_66))) _let_67 :args (_let_64 false _let_66)) :args (_let_65 true _let_63 false _let_64)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_62)) :args _let_62)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_19))) (REFL :args ((not _let_45))) :args _let_32)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_58)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_59 _let_60) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_10)) (SYMM (SYMM _let_60)) :args (APPLY_UF tptp.member)) (TRUE_INTRO _let_59))) :args (_let_51 _let_46))) :args (_let_46 _let_51))) :args (true _let_58)) (CNF_OR_NEG :args (_let_53 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_53 0)) (CONG (REFL :args (_let_53)) (MACRO_SR_PRED_INTRO :args ((= (not _let_52) _let_51))) :args _let_32)) :args ((or _let_51 _let_53))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_48))) (REFL :args ((not _let_53))) :args _let_32)) (REORDERING (CNF_EQUIV_POS2 :args (_let_49)) :args ((or _let_42 _let_56 (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.subset A B)))) :args (_let_54))) _let_55 :args (_let_49 false _let_54)) (REORDERING (CNF_EQUIV_POS1 :args (_let_47)) :args ((or _let_44 _let_46 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_8 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_7))) _let_8 :args (_let_47 false _let_3)) (CNF_OR_NEG :args (_let_45 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_45 0)) (CONG (REFL :args (_let_45)) (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_43))) :args _let_32)) :args ((or _let_43 _let_45))) :args (_let_45 true _let_50 false _let_51 true _let_53 true _let_48 false _let_49 false _let_46 false _let_47 true _let_42 false _let_43)) :args (_let_19 false _let_45)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_41)) :args _let_41)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_18))) (REFL :args ((not _let_27))) :args _let_32)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_36)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_38 _let_39) (SCOPE (FALSE_ELIM (TRANS (CONG (SYMM (SYMM _let_39)) (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7)) :args (=)) (FALSE_INTRO _let_38))) :args _let_37)) :args _let_37)) :args (true _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_22))) (REFL :args ((not _let_28))) (REFL :args ((not _let_30))) :args _let_32)) (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or _let_24 _let_30 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_8 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_7))) _let_8 :args (_let_31 false _let_3)) (REORDERING (CNF_EQUIV_POS1 :args (_let_29)) :args ((or _let_26 _let_28 (not _let_29)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_8 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_6 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_7))) _let_8 :args (_let_29 false _let_3)) (CNF_OR_NEG :args (_let_27 2)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 1)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_24) _let_23))) :args _let_32)) :args ((or _let_23 _let_27))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_27 0)) (CONG _let_33 (MACRO_SR_PRED_INTRO :args ((= (not _let_26) _let_25))) :args _let_32)) :args ((or _let_25 _let_27))) :args (_let_27 false _let_30 false _let_31 false _let_28 false _let_29 true _let_22 false _let_23 false _let_25)) :args (_let_18 false _let_27)) :args (_let_21 true _let_20 false _let_19 false _let_18)) :args (_let_17 true _let_16)))) (let ((_let_75 (REFL :args (_let_15)))) (let ((_let_76 (_let_13))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_8 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_7))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_12)) :args ((or _let_10 _let_11 (not _let_12)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 0)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_10) _let_9))) :args _let_32)) :args ((or _let_9 _let_15))) _let_74 :args (_let_9 true _let_15)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_76) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_9 Y) false))))) :args _let_76)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_15 1)) (CONG _let_75 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) :args _let_32)) :args ((or _let_13 _let_15))) _let_74 :args (_let_13 true _let_15)) :args (_let_12 false _let_13)) :args (_let_11 false _let_9 false _let_12)) _let_8 :args (false true _let_6 false _let_3)) :args (_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))) (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))) (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))) _let_3 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.unordered_pair A B)) (or (= X A) (= X B)))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.sum A)) (exists ((Y $$unsorted)) (and (tptp.member Y A) (tptp.member X Y))))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.product A)) (forall ((Y $$unsorted)) (=> (tptp.member Y A) (tptp.member X Y))))) (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.disjoint A B) (not (exists ((X $$unsorted)) (and (tptp.member X A) (tptp.member X B)))))) _let_2 (forall ((A $$unsorted) (R $$unsorted)) (= (tptp.equivalence R A) (and (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.apply R X X))) (forall ((X $$unsorted) (Y $$unsorted)) (=> (and (tptp.member X A) (tptp.member Y A)) (=> (tptp.apply R X Y) (tptp.apply R Y X)))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.member X A) (tptp.member Y A) (tptp.member Z A)) (=> (and (tptp.apply R X Y) (tptp.apply R Y Z)) (tptp.apply R X Z))))))) (forall ((R $$unsorted) (E $$unsorted) (A $$unsorted) (X $$unsorted)) (= (tptp.member X (tptp.equivalence_class A E R)) (and (tptp.member X E) (tptp.apply R A X)))) (forall ((R $$unsorted) (E $$unsorted)) (= (tptp.pre_order R E) (and (forall ((X $$unsorted)) (=> (tptp.member X E) (tptp.apply R X X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (=> (and (tptp.member X E) (tptp.member Y E) (tptp.member Z E)) (=> (and (tptp.apply R X Y) (tptp.apply R Y Z)) (tptp.apply R X Z))))))) (forall ((X $$unsorted)) (= (tptp.non_overlapping X) (exists ((U $$unsorted)) (tptp.partition X U)))) (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (= (tptp.insertIntoMember A B C) (tptp.union (tptp.union B (tptp.singleton A)) (tptp.difference C (tptp.singleton B))))) (forall ((A $$unsorted) (B $$unsorted)) (= (= B (tptp.unaryUnion A)) (forall ((C $$unsorted)) (= (tptp.member C B) (exists ((D $$unsorted)) (and (tptp.member C D) (tptp.member D A))))))) _let_1 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54  )
% 0.20/0.54  % SZS output end Proof for SEV521+1
% 0.20/0.54  % cvc5---1.0.5 exiting
% 0.20/0.55  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------