%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET699+4 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n019.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 14:39:58 EDT 2023

% Result   : Theorem 0.20s 0.68s
% Output   : Proof 0.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET699+4 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n019.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   : Sat Aug 26 10:33:13 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.68  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.eLvNmx3o12/cvc5---1.0.5_17240.p...
% 0.20/0.68  ------- get file name : TPTP file name is SET699+4
% 0.20/0.68  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17240.smt2...
% 0.20/0.68  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.68  % SZS status Theorem for SET699+4
% 0.20/0.68  % SZS output start Proof for SET699+4
% 0.20/0.68  (
% 0.20/0.68  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (=> (and (tptp.subset A E) (tptp.subset B E)) (= (tptp.subset A B) (tptp.subset (tptp.intersection A (tptp.difference E B)) (tptp.difference E A)))))))) (let ((_let_2 (forall ((B $$unsorted) (A $$unsorted) (E $$unsorted)) (= (tptp.member B (tptp.difference E A)) (and (tptp.member B E) (not (tptp.member B A))))))) (let ((_let_3 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.intersection A B)) (and (tptp.member X A) (tptp.member X B)))))) (let ((_let_4 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_5 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_7 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_7))) (let ((_let_9 (not _let_8))) (let ((_let_10 (or _let_9 _let_5))) (let ((_let_11 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_12 (not _let_10))) (let ((_let_13 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_14 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_7))) (let ((_let_15 (not _let_14))) (let ((_let_16 (or _let_15 _let_13))) (let ((_let_17 (not _let_11))) (let ((_let_18 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_13))) (let ((_let_21 (not _let_16))) (let ((_let_22 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_23 (not _let_20))) (let ((_let_24 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_25 (= _let_24 _let_22))) (let ((_let_26 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_27 (tptp.subset _let_7 _let_26))) (let ((_let_28 (= _let_24 _let_27))) (let ((_let_29 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)))))) (let ((_let_30 (= _let_27 _let_29))) (let ((_let_31 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 _let_7))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 _let_26)))) (let ((_let_34 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 _let_6))) (let ((_let_35 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_34))) (let ((_let_36 (= _let_31 _let_35))) (let ((_let_37 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_38 (not _let_37))) (let ((_let_39 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_38))) (let ((_let_40 (= _let_34 _let_39))) (let ((_let_41 (or _let_32 _let_37))) (let ((_let_42 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (and _let_42 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_6)))) (let ((_let_44 (= _let_8 _let_43))) (let ((_let_45 (not _let_42))) (let ((_let_46 (or _let_45 _let_5))) (let ((_let_47 (not _let_22))) (let ((_let_48 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_49 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_50 (_let_48))) (let ((_let_51 ((tptp.subset A B)))) (let ((_let_52 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_25 false _let_48)))) (let ((_let_53 (not _let_25))) (let ((_let_54 (_let_25))) (let ((_let_55 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) _let_28))) (let ((_let_58 (forall ((A $$unsorted) (B $$unsorted) (E $$unsorted)) (or (not (tptp.subset A E)) (not (tptp.subset B E)) (= (tptp.subset A B) (tptp.subset (tptp.intersection A (tptp.difference E B)) (tptp.difference E A))))))) (let ((_let_59 (not _let_57))) (let ((_let_60 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_61 (or))) (let ((_let_62 (not _let_58))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_60) :args (_let_62))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_62) _let_58))) (REFL :args (_let_59)) :args _let_61)) _let_60 :args (_let_59 true _let_58)))) (let ((_let_64 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_57 2)) _let_63 :args ((not _let_28) true _let_57)))) (let ((_let_65 (_let_28))) (let ((_let_66 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_7 _let_26 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_30 false _let_48)))) (let ((_let_67 (not _let_30))) (let ((_let_68 (not _let_29))) (let ((_let_69 (_let_30))) (let ((_let_70 (_let_68))) (let ((_let_71 (_let_3))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((tptp.member X (tptp.intersection A B))))) (let ((_let_74 (_let_2))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((tptp.member B (tptp.difference E A))))) (let ((_let_77 (_let_11))) (let ((_let_78 ((not (= (tptp.member X _let_7) false))))) (let ((_let_79 (ASSUME :args _let_77))) (let ((_let_80 (_let_17))) (let ((_let_81 (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_80)) :args _let_80)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_17) _let_11))) (REFL :args (_let_12)) :args _let_61)))) (let ((_let_82 (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_10 0)) (CONG (REFL :args (_let_10)) (MACRO_SR_PRED_INTRO :args ((= (not _let_9) _let_8))) :args _let_61)) :args ((or _let_8 _let_10))))) (let ((_let_83 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_44 false _let_3)))) (let ((_let_84 (REORDERING (CNF_EQUIV_POS1 :args (_let_44)) :args ((or _let_9 _let_43 (not _let_44)))))) (let ((_let_85 (REORDERING (CNF_AND_POS :args (_let_43 0)) :args ((or _let_42 (not _let_43)))))) (let ((_let_86 (_let_22))) (let ((_let_87 ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_86) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_86)) (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_5 _let_45 (not _let_46)))) _let_85 _let_84 _let_83 (CNF_OR_NEG :args (_let_10 1)) _let_82 _let_81 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_77)) (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_32 _let_37 (not _let_41)))) (REORDERING (CNF_AND_POS :args (_let_39 1)) :args ((or _let_38 (not _let_39)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_40)) :args ((or (not _let_34) _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_40 false _let_2)) (REORDERING (CNF_AND_POS :args (_let_35 1)) :args ((or _let_34 (not _let_35)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_36)) :args ((or _let_32 _let_35 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_42 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_36 false _let_3)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_33 0)) (CONG (REFL :args (_let_33)) (MACRO_SR_PRED_INTRO :args ((= (not _let_32) _let_31))) :args _let_61)) :args ((or _let_31 _let_33))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_70)) :args _let_70)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_68) _let_29))) (REFL :args ((not _let_33))) :args _let_61)) (REORDERING (CNF_EQUIV_POS2 :args _let_69) :args ((or _let_27 _let_68 _let_67))) _let_66 (CNF_EQUIV_NEG2 :args _let_65) _let_64 (REORDERING (CNF_EQUIV_POS2 :args _let_54) :args ((or _let_24 _let_47 _let_53))) _let_52 :args (_let_47 true _let_46 false _let_42 false _let_43 false _let_44 true _let_5 false _let_8 true _let_10 true _let_11 true _let_41 true _let_37 false _let_39 false _let_40 false _let_34 false _let_35 false _let_36 false _let_31 true _let_33 true _let_29 false _let_30 true _let_27 true _let_28 false _let_24 false _let_25)))) (let ((_let_89 (_let_47))) (let ((_let_90 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_91 (or _let_19 _let_90))) (let ((_let_92 (not _let_13))) (let ((_let_93 (and _let_90 _let_92))) (let ((_let_94 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 _let_6))) (let ((_let_95 (and _let_18 _let_94))) (let ((_let_96 (= _let_14 _let_95))) (let ((_let_97 (= _let_94 _let_93))) (let ((_let_98 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_99 (= _let_55 _let_98))) (let ((_let_100 (_let_98))) (let ((_let_101 (not _let_90))) (let ((_let_102 (_let_93))) (let ((_let_103 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 _let_26))) (let ((_let_104 (or _let_9 _let_103))) (let ((_let_105 (not _let_24))) (let ((_let_106 (_let_29))) (let ((_let_107 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4) _let_45))) (let ((_let_108 (= _let_103 _let_107))) (let ((_let_109 (not _let_104))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST _let_82 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_107 1)) :args ((or _let_45 (not _let_107)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_108)) :args ((or (not _let_103) _let_107 (not _let_108)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_108 false _let_2)) _let_85 (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_9 _let_103 _let_109))) _let_84 _let_83 :args ((or _let_9 _let_109) false _let_107 false _let_108 false _let_42 false _let_103 false _let_43 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_106) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_41 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_78)) :args _let_106)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_69) :args ((or (not _let_27) _let_29 _let_67))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_65) :args ((or _let_24 _let_27 _let_28))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_54) :args ((or _let_105 _let_22 _let_53))) _let_88 _let_52 :args (_let_105 true _let_22 false _let_25)) _let_64 :args (_let_27 true _let_24 true _let_28)) _let_66 :args (_let_29 false _let_27 false _let_30)) :args (_let_104 false _let_29)) :args (_let_9 false _let_104)) (MACRO_RESOLUTION_TRUST _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) true))))) :args _let_77)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_95)) :args ((or _let_19 _let_95 (not _let_94)))) (REORDERING (CNF_EQUIV_POS2 :args (_let_97)) :args ((or _let_94 (not _let_93) (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_97 false _let_2)) (REORDERING (CNF_EQUIV_POS2 :args (_let_96)) :args ((or _let_14 (not _let_95) (not _let_96)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_6 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_96 false _let_3)) (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_102) (CONG (REFL :args _let_102) (REFL :args (_let_101)) (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_13))) :args _let_61)) :args ((or _let_13 _let_101 _let_93))) (REORDERING (CNF_OR_POS :args (_let_16)) :args ((or _let_13 _let_15 _let_21))) (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_19 _let_90 (not _let_91)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_100) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_100)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_99)) :args ((or _let_56 _let_98 (not _let_99)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_57 0)) (CONG (REFL :args (_let_57)) (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_55))) :args _let_61)) :args ((or _let_55 _let_57))) _let_63 :args (_let_55 true _let_57)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_51)) :args _let_50)) _let_49 :args (_let_99 false _let_48)) :args (_let_98 false _let_55 false _let_99)) :args (_let_91 false _let_98)) (CNF_OR_NEG :args (_let_20 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_20 0)) (CONG (REFL :args (_let_20)) (MACRO_SR_PRED_INTRO :args ((= (not _let_19) _let_18))) :args _let_61)) :args ((or _let_18 _let_20))) :args ((or _let_20 _let_21) false _let_94 false _let_97 true _let_95 false _let_96 false _let_93 true _let_14 false _let_90 false _let_91 true _let_13 false _let_18)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_47) _let_22))) (REFL :args (_let_23)) :args _let_61)) _let_88 :args (_let_23 true _let_22)) :args (_let_21 true _let_20)) :args (_let_17 true _let_16)) :args (_let_12 true _let_11)) :args (false true _let_8 true _let_10)) :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))) _let_3 (forall ((X $$unsorted) (A $$unsorted) (B $$unsorted)) (= (tptp.member X (tptp.union A B)) (or (tptp.member X A) (tptp.member X B)))) (forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) _let_2 (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_1 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.68  )
% 0.20/0.68  % SZS output end Proof for SET699+4
% 0.20/0.68  % cvc5---1.0.5 exiting
% 0.20/0.69  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------