%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET701+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 14:39:58 EDT 2023

% Result   : Theorem 0.22s 0.69s
% Output   : Proof 0.22s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SET701+4 : TPTP v8.1.2. Released v2.2.0.
% 0.08/0.15  % 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 09:15:24 EDT 2023
% 0.15/0.36  % CPUTime    : 
% 0.22/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.69  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.3q9vl82lkj/cvc5---1.0.5_4738.p...
% 0.22/0.69  ------- get file name : TPTP file name is SET701+4
% 0.22/0.69  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4738.smt2...
% 0.22/0.69  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.22/0.69  % SZS status Theorem for SET701+4
% 0.22/0.69  % SZS output start Proof for SET701+4
% 0.22/0.69  (
% 0.22/0.69  (let ((_let_1 (not (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted)) (=> (and (tptp.subset A E) (tptp.subset B E)) (= (tptp.subset A B) (tptp.subset (tptp.intersection A (tptp.difference E B)) (tptp.intersection C (tptp.difference E C))))))))) (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 $$unsorted)) (=> (tptp.member X A) (tptp.member X B))))))) (let ((_let_5 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_6 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_5))) (let ((_let_7 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_8 (not _let_7))) (let ((_let_9 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_10 (and _let_9 _let_8))) (let ((_let_11 (= _let_6 _let_10))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_13 (and _let_12 _let_6))) (let ((_let_14 (not _let_6))) (let ((_let_15 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5))) (let ((_let_16 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_15))) (let ((_let_17 (= _let_16 _let_13))) (let ((_let_18 (not _let_13))) (let ((_let_19 (_let_3))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 ((tptp.member X (tptp.intersection A B))))) (let ((_let_22 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_23 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_22))) (let ((_let_24 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_23))) (let ((_let_25 (not _let_16))) (let ((_let_26 (or _let_25 _let_24))) (let ((_let_27 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_28 (tptp.subset _let_15 _let_23))) (let ((_let_29 (= _let_28 _let_27))) (let ((_let_30 (forall ((A $$unsorted) (B $$unsorted)) (= (tptp.subset A B) (forall ((X $$unsorted)) (or (not (tptp.member X A)) (tptp.member X B))))))) (let ((_let_31 (EQ_RESOLVE (ASSUME :args (_let_4)) (MACRO_SR_EQ_INTRO :args (_let_4 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_32 (_let_30))) (let ((_let_33 ((tptp.subset A B)))) (let ((_let_34 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (_let_15 _let_23 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_29 false _let_30)))) (let ((_let_35 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_36 (= _let_35 _let_28))) (let ((_let_37 (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))) (let ((_let_38 (not _let_37))) (let ((_let_39 (or _let_38 (not (tptp.subset SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5)) _let_36))) (let ((_let_40 (forall ((A $$unsorted) (B $$unsorted) (C $$unsorted) (E $$unsorted)) (or (not (tptp.subset A E)) (not (tptp.subset B E)) (= (tptp.subset A B) (tptp.subset (tptp.intersection A (tptp.difference E B)) (tptp.intersection C (tptp.difference E C)))))))) (let ((_let_41 (not _let_39))) (let ((_let_42 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_43 (or))) (let ((_let_44 (not _let_40))) (let ((_let_45 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_42) :args (_let_44))) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_40))) (REFL :args (_let_41)) :args _let_43)) _let_42 :args (_let_41 true _let_40)))) (let ((_let_46 (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_39 2)) _let_45 :args ((not _let_36) true _let_39)))) (let ((_let_47 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_48 (= _let_35 _let_47))) (let ((_let_49 (not _let_35))) (let ((_let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_48 false _let_30)))) (let ((_let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_52 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_51))) (let ((_let_55 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_15))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_23)))) (let ((_let_58 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_5))) (let ((_let_59 (and _let_52 _let_58))) (let ((_let_60 (= _let_55 _let_59))) (let ((_let_61 (or _let_56 _let_52))) (let ((_let_62 (not _let_51))) (let ((_let_63 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5) _let_62))) (let ((_let_64 (= _let_58 _let_63))) (let ((_let_65 (not _let_47))) (let ((_let_66 (not _let_48))) (let ((_let_67 (_let_48))) (let ((_let_68 (_let_47))) (let ((_let_69 ((not (= (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) (let ((_let_70 (_let_36))) (let ((_let_71 (not _let_29))) (let ((_let_72 (not _let_27))) (let ((_let_73 (_let_29))) (let ((_let_74 (_let_72))) (let ((_let_75 (forall ((X $$unsorted)) (or (not (tptp.member X (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_76 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_77 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 _let_15))) (let ((_let_78 (not _let_77))) (let ((_let_79 (or _let_78 _let_76))) (let ((_let_80 (and _let_76 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 _let_5)))) (let ((_let_81 (= _let_77 _let_80))) (let ((_let_82 (not _let_75))) (let ((_let_83 (_let_82))) (let ((_let_84 (_let_75))) (let ((_let_85 ((not (= (tptp.member X _let_15) false))))) (let ((_let_86 (_let_2))) (let ((_let_87 (ASSUME :args _let_86))) (let ((_let_88 ((tptp.member B (tptp.difference E A))))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_63 1)) :args ((or _let_62 (not _let_63)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_64)) :args ((or (not _let_58) _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_64 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_51 (not _let_54)))) (REORDERING (CNF_AND_POS :args (_let_59 1)) :args ((or _let_58 (not _let_59)))) (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_56 _let_52 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_84) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_84)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_83)) :args _let_83)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_82) _let_75))) (REFL :args ((not _let_79))) :args _let_43)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_80 0)) :args ((or _let_76 (not _let_80)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_81)) :args ((or _let_78 _let_80 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_38 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_81 false _let_3)) (CNF_OR_NEG :args (_let_79 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_79 0)) (CONG (REFL :args (_let_79)) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_77))) :args _let_43)) :args ((or _let_77 _let_79))) :args (_let_79 false _let_80 false _let_81 true _let_76 false _let_77)) :args (_let_75 false _let_79)) :args (_let_61 false _let_75)) (REORDERING (CNF_EQUIV_POS1 :args (_let_60)) :args ((or _let_56 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_60 false _let_3)) (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_43)) :args ((or _let_55 _let_57))) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_74)) :args _let_74)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_72) _let_27))) (REFL :args ((not _let_57))) :args _let_43)) (REORDERING (CNF_EQUIV_POS2 :args _let_73) :args ((or _let_28 _let_72 _let_71))) _let_34 (CNF_EQUIV_NEG2 :args _let_70) _let_46 (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_68) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_68)) (REORDERING (CNF_EQUIV_POS2 :args _let_67) :args ((or _let_35 _let_65 _let_66))) _let_50 :args (_let_65 false _let_63 false _let_64 false _let_51 false _let_58 false _let_52 false _let_61 false _let_59 false _let_60 false _let_55 true _let_57 true _let_27 false _let_29 true _let_28 true _let_36 false _let_54 false _let_35 false _let_48)))) (let ((_let_90 (_let_27))) (let ((_let_91 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 _let_22))) (let ((_let_92 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_93 (and _let_92 _let_91))) (let ((_let_94 (= _let_24 _let_93))) (let ((_let_95 (not _let_24))) (let ((_let_96 (not _let_92))) (let ((_let_97 (and _let_9 _let_96))) (let ((_let_98 (= _let_91 _let_97))) (let ((_let_99 (not _let_93))) (let ((_let_100 (not _let_12))) (let ((_let_101 (or _let_100 _let_7))) (let ((_let_102 (not _let_101))) (let ((_let_103 (_let_65))) (let ((_let_104 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_103)) :args _let_103)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_65) _let_47))) (REFL :args (_let_102)) :args _let_43)) _let_89 :args (_let_102 true _let_47)))) (let ((_let_105 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_101 0)) (CONG (REFL :args (_let_101)) (MACRO_SR_PRED_INTRO :args ((= (not _let_100) _let_12))) :args _let_43)) :args ((or _let_12 _let_101))) _let_104 :args (_let_12 true _let_101)))) (let ((_let_106 (or _let_100 _let_9))) (let ((_let_107 (forall ((X $$unsorted)) (or (not (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member X SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5))))) (let ((_let_108 (= _let_37 _let_107))) (let ((_let_109 (_let_107))) (let ((_let_110 (not _let_9))) (let ((_let_111 (_let_10))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_11)) :args ((or _let_6 (not _let_10) (not _let_11)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_11 false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_111) (CONG (REFL :args _let_111) (REFL :args (_let_110)) (MACRO_SR_PRED_INTRO :args ((= (not _let_8) _let_7))) :args _let_43)) :args ((or _let_7 _let_110 _let_10))) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_101 1)) _let_104 :args (_let_8 true _let_101)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_106)) :args ((or _let_100 _let_9 (not _let_106)))) _let_105 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_109) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_69)) :args _let_109)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_108)) :args ((or _let_38 _let_107 (not _let_108)))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_39 0)) (CONG (REFL :args (_let_39)) (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_37))) :args _let_43)) :args ((or _let_37 _let_39))) _let_45 :args (_let_37 true _let_39)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_31 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_33)) :args _let_32)) _let_31 :args (_let_108 false _let_30)) :args (_let_107 false _let_37 false _let_108)) :args (_let_106 false _let_107)) :args (_let_9 false _let_12 false _let_106)) :args (_let_10 true _let_7 false _let_9)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_NEG :args (_let_13)) :args ((or _let_100 _let_13 _let_14))) _let_105 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_17)) :args ((or _let_16 _let_18 (not _let_17)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_25 _let_24 (not _let_26)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_94)) :args ((or _let_95 _let_93 (not _let_94)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_98)) :args ((or (not _let_91) _let_97 (not _let_98)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_5 QUANTIFIERS_INST_E_MATCHING _let_88)) :args _let_86)) _let_87 :args (_let_98 false _let_2)) (REORDERING (CNF_AND_POS :args (_let_97 1)) :args ((or _let_96 (not _let_97)))) (REORDERING (CNF_AND_POS :args (_let_93 1)) :args ((or _let_91 _let_99))) (REORDERING (CNF_AND_POS :args (_let_93 0)) :args ((or _let_92 _let_99))) :args (_let_99 false _let_98 true _let_97 false _let_91 false _let_92)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 _let_22 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_94 false _let_3)) :args (_let_95 true _let_93 false _let_94)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_90) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_85)) :args _let_90)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_73) :args ((or (not _let_28) _let_27 _let_71))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_70) :args ((or _let_35 _let_28 _let_36))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_67) :args ((or _let_49 _let_47 _let_66))) _let_89 _let_50 :args (_let_49 true _let_47 false _let_48)) _let_46 :args (_let_28 true _let_35 true _let_36)) _let_34 :args (_let_27 false _let_28 false _let_29)) :args (_let_26 false _let_27)) :args (_let_25 true _let_24 false _let_26)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_5 QUANTIFIERS_INST_E_MATCHING _let_21)) :args _let_19)) _let_20 :args (_let_17 false _let_3)) :args (_let_18 true _let_16 false _let_17)) :args (_let_14 false _let_12 true _let_13)) :args (false false _let_11 false _let_10 true _let_6)) :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))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.22/0.70  )
% 0.22/0.70  % SZS output end Proof for SET701+4
% 0.22/0.70  % cvc5---1.0.5 exiting
% 0.22/0.70  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------