%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET169+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n011.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 14:38:02 EDT 2023

% Result   : Theorem 0.22s 0.55s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14  % Problem    : SET169+4 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.15  % Command    : do_cvc5 %s %d
% 0.15/0.36  % Computer : n011.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Sat Aug 26 10:03:24 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.55  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.VDpfMgMM8Y/cvc5---1.0.5_14204.p...
% 0.22/0.55  ------- get file name : TPTP file name is SET169+4
% 0.22/0.55  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14204.smt2...
% 0.22/0.55  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.55  % SZS status Theorem for SET169+4
% 0.22/0.55  % SZS output start Proof for SET169+4
% 0.22/0.55  (
% 0.22/0.55  (let ((_let_1 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted)) (tptp.equal_set (tptp.intersection A (tptp.union B C)) (tptp.union (tptp.intersection A B) (tptp.intersection A C)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))))) (let ((_let_4 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))))) (let ((_let_5 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.equal_set A B) (and (tptp.subset A B) (tptp.subset B A)))))) (let ((_let_6 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (or _let_8 _let_7))) (let ((_let_10 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_10))) (let ((_let_12 (= _let_11 _let_9))) (let ((_let_13 (_let_3))) (let ((_let_14 (ASSUME :args _let_13))) (let ((_let_15 ((tptp.member X (tptp.union A B))))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_12 false _let_3)))) (let ((_let_17 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (and _let_17 _let_11))) (let ((_let_19 (and _let_17 _let_8))) (let ((_let_20 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_20))) (let ((_let_22 (= _let_21 _let_19))) (let ((_let_23 (_let_4))) (let ((_let_24 (ASSUME :args _let_23))) (let ((_let_25 ((tptp.member X (tptp.intersection A B))))) (let ((_let_26 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_27 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_26))) (let ((_let_28 (or _let_21 _let_27))) (let ((_let_29 (tptp.union _let_20 _let_26))) (let ((_let_30 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_29))) (let ((_let_31 (= _let_30 _let_28))) (let ((_let_32 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_33 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_32))) (let ((_let_34 (not _let_30))) (let ((_let_35 (or _let_34 _let_33))) (let ((_let_36 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.union (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_37 (not _let_35))) (let ((_let_38 (tptp.subset _let_29 _let_32))) (let ((_let_39 (= _let_38 _let_36))) (let ((_let_40 (not _let_36))) (let ((_let_41 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (_let_41))) (let ((_let_44 ((tptp.subset A B)))) (let ((_let_45 (tptp.subset _let_32 _let_29))) (let ((_let_46 (and _let_45 _let_38))) (let ((_let_47 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (tptp.member X (tptp.union (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_48 (= _let_45 _let_47))) (let ((_let_49 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_29))) (let ((_let_50 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_32))) (let ((_let_51 (not _let_50))) (let ((_let_52 (or _let_51 _let_49))) (let ((_let_53 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_54 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_10))) (let ((_let_55 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_56 (and _let_55 _let_54))) (let ((_let_57 (= _let_50 _let_56))) (let ((_let_58 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_26))) (let ((_let_59 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_20))) (let ((_let_60 (or _let_59 _let_58))) (let ((_let_61 (= _let_49 _let_60))) (let ((_let_62 (and _let_55 _let_53))) (let ((_let_63 (= _let_58 _let_62))) (let ((_let_64 (or))) (let ((_let_65 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_52 0)) (CONG (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_51) _let_50))) :args _let_64)) :args ((or _let_50 _let_52))))) (let ((_let_66 (CNF_OR_NEG :args (_let_52 1)))) (let ((_let_67 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_68 (or _let_67 _let_53))) (let ((_let_69 (= _let_54 _let_68))) (let ((_let_70 (and _let_55 _let_67))) (let ((_let_71 (= _let_59 _let_70))) (let ((_let_72 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_E_MATCHING _let_25)) :args _let_23)) _let_24 :args (_let_57 false _let_4)))) (let ((_let_73 (REORDERING (CNF_EQUIV_POS1 :args (_let_57)) :args ((or _let_51 _let_56 (not _let_57)))))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_20 _let_26 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_61 false _let_3)))) (let ((_let_75 (REORDERING (CNF_EQUIV_POS2 :args (_let_61)) :args ((or _let_49 (not _let_60) (not _let_61)))))) (let ((_let_76 (not _let_56))) (let ((_let_77 (REORDERING (CNF_AND_POS :args (_let_56 0)) :args ((or _let_55 _let_76))))) (let ((_let_78 (not _let_55))) (let ((_let_79 (not _let_47))) (let ((_let_80 (_let_79))) (let ((_let_81 (tptp.equal_set _let_32 _let_29))) (let ((_let_82 (= _let_81 _let_46))) (let ((_let_83 (not _let_46))) (let ((_let_84 (_let_5))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (not _let_81))) (let ((_let_87 (_let_2))) (let ((_let_88 (ASSUME :args _let_87))) (let ((_let_89 (_let_40))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_36))) (REFL :args (_let_37)) :args _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_39)) :args ((or _let_38 _let_40 (not _let_39)))) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_82)) :args ((or _let_81 _let_83 (not _let_82)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_88) :args _let_87)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_86)) :args _let_64)) _let_88 :args (_let_86 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_32 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.equal_set A B)))) :args _let_84)) _let_85 :args (_let_82 false _let_5)) :args (_let_83 true _let_81 false _let_82)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_48)) :args ((or _let_45 _let_79 (not _let_48)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_79) _let_47))) (REFL :args ((not _let_52))) :args _let_64)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_63)) :args ((or _let_58 (not _let_62) (not _let_63)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_25)) :args _let_23)) _let_24 :args (_let_63 false _let_4)) (REORDERING (CNF_AND_NEG :args (_let_62)) :args ((or _let_78 _let_62 (not _let_53)))) (CNF_OR_NEG :args (_let_60 1)) _let_77 _let_75 _let_74 _let_73 _let_72 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_70)) :args ((or _let_78 _let_70 (not _let_67)))) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_53 _let_67 (not _let_68)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_71)) :args ((or _let_59 (not _let_70) (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_25)) :args _let_23)) _let_24 :args (_let_71 false _let_4)) (REORDERING (CNF_EQUIV_POS1 :args (_let_69)) :args ((or (not _let_54) _let_68 (not _let_69)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_69 false _let_3)) (CNF_OR_NEG :args (_let_60 0)) (REORDERING (CNF_AND_POS :args (_let_56 1)) :args ((or _let_54 _let_76))) _let_77 _let_75 _let_74 _let_73 _let_72 _let_66 _let_65 :args ((or _let_52 _let_53) false _let_67 true _let_70 false _let_71 false _let_68 false _let_69 true _let_59 false _let_54 false _let_55 true _let_60 false _let_61 false _let_56 false _let_57 true _let_49 false _let_50)) _let_66 _let_65 :args (_let_52 false _let_63 false _let_62 true _let_58 false _let_55 true _let_60 false _let_61 false _let_56 false _let_57 false _let_53 true _let_49 false _let_50)) :args (_let_47 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_32 _let_29 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_48 false _let_41)) :args (_let_45 false _let_47 false _let_48)) :args ((not _let_38) true _let_46 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (_let_29 _let_32 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_44)) :args _let_43)) _let_42 :args (_let_39 false _let_41)) :args (_let_40 true _let_38 false _let_39)) :args (_let_37 true _let_36)))) (let ((_let_91 (and _let_17 _let_7))) (let ((_let_92 (= _let_27 _let_91))) (let ((_let_93 (not _let_27))) (let ((_let_94 (not _let_91))) (let ((_let_95 (= _let_33 _let_18))) (let ((_let_96 (not _let_18))) (let ((_let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_95)) :args ((or _let_33 _let_96 (not _let_95)))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_35 1)) _let_90 :args ((not _let_33) true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 QUANTIFIERS_INST_E_MATCHING _let_25)) :args _let_23)) _let_24 :args (_let_95 false _let_4)) :args (_let_96 true _let_33 false _let_95)))) (let ((_let_98 (CNF_AND_NEG :args (_let_18)))) (let ((_let_99 (REORDERING (CNF_EQUIV_POS2 :args (_let_12)) :args ((or _let_11 (not _let_9) (not _let_12)))))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_22)) :args ((or (not _let_21) _let_19 (not _let_22)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_21 _let_27 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_92)) :args ((or _let_93 _let_91 (not _let_92)))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_99 _let_16 (CNF_OR_NEG :args (_let_9 1)) _let_98 (REORDERING (CNF_AND_POS :args (_let_91 1)) :args ((or _let_7 _let_94))) (REORDERING (CNF_AND_POS :args (_let_91 0)) :args ((or _let_17 _let_94))) :args ((or _let_18 _let_94) false _let_12 false _let_9 true _let_11 false _let_7 false _let_17)) _let_97 :args (_let_94 true _let_18)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_25)) :args _let_23)) _let_24 :args (_let_92 false _let_4)) :args (_let_93 true _let_91 false _let_92)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_31)) :args ((or _let_34 _let_28 (not _let_31)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_35 0)) (CONG (REFL :args (_let_35)) (MACRO_SR_PRED_INTRO :args ((= (not _let_34) _let_30))) :args _let_64)) :args ((or _let_30 _let_35))) _let_90 :args (_let_30 true _let_35)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_20 _let_26 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_31 false _let_3)) :args (_let_28 false _let_30 false _let_31)) :args (_let_21 true _let_27 false _let_28)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_24 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING _let_25)) :args _let_23)) _let_24 :args (_let_22 false _let_4)) :args (_let_19 false _let_21 false _let_22)))) (let ((_let_101 (not _let_19))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_99 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_9 0)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 1)) :args ((or _let_8 _let_101))) _let_100 :args (_let_8 false _let_19)) :args (_let_9 false _let_8)) (MACRO_RESOLUTION_TRUST _let_98 _let_97 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_19 0)) :args ((or _let_17 _let_101))) _let_100 :args (_let_17 false _let_19)) :args ((not _let_11) true _let_18 false _let_17)) _let_16 :args (false false _let_9 true _let_11 false _let_12)) :args (_let_6 _let_5 (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.power_set A)) (tptp.subset X A))) _let_4 _let_3 (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))) (forall ((X $$unsorted) (A $$unsorted)) (= (tptp.member X (tptp.singleton A)) (= X A))) (forall ((X $$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))))) _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.56  )
% 0.22/0.56  % SZS output end Proof for SET169+4
% 0.22/0.56  % cvc5---1.0.5 exiting
% 0.22/0.56  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------