%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET634+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n002.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 14:39:39 EDT 2023

% Result   : Theorem 0.95s 1.12s
% Output   : Proof 0.95s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13  % Problem    : SET634+3 : TPTP v8.1.2. Released v2.2.0.
% 0.12/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n002.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   : Sat Aug 26 14:51:33 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.48  %----Proving TF0_NAR, FOF, or CNF
% 0.95/1.12  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.8Te1OJepOg/cvc5---1.0.5_5734.p...
% 0.95/1.12  ------- get file name : TPTP file name is SET634+3
% 0.95/1.12  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_5734.smt2...
% 0.95/1.12  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.95/1.12  % SZS status Theorem for SET634+3
% 0.95/1.12  % SZS output start Proof for SET634+3
% 0.95/1.12  (
% 0.95/1.12  (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.intersection B (tptp.difference C D)) (tptp.difference (tptp.intersection B C) D))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.difference B C)) (and (tptp.member D B) (not (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (=> (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))) (= B C))))) (let ((_let_6 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_7 (not _let_6))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_9 (and _let_8 _let_7))) (let ((_let_10 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_11 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 _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 D (tptp.difference B C))))) (let ((_let_16 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 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_75 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (and _let_17 _let_11))) (let ((_let_19 (not _let_11))) (let ((_let_20 (and _let_17 _let_8))) (let ((_let_21 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_22 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 _let_21))) (let ((_let_23 (= _let_22 _let_20))) (let ((_let_24 (_let_4))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 ((tptp.member D (tptp.intersection B C))))) (let ((_let_27 (and _let_22 _let_7))) (let ((_let_28 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10))) (let ((_let_29 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 _let_28))) (let ((_let_30 (not _let_29))) (let ((_let_31 (or _let_30 _let_22))) (let ((_let_32 (tptp.difference _let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_33 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 _let_32))) (let ((_let_34 (= _let_33 _let_27))) (let ((_let_35 (= _let_33 _let_29))) (let ((_let_36 (not _let_27))) (let ((_let_37 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_38 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 _let_21))) (let ((_let_39 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 _let_28))) (let ((_let_40 (not _let_39))) (let ((_let_41 (or _let_40 _let_38))) (let ((_let_42 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_43 (or _let_40 _let_42))) (let ((_let_44 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_45 (or _let_40 _let_44))) (let ((_let_46 (and _let_42 _let_44))) (let ((_let_47 (= _let_38 _let_46))) (let ((_let_48 (or))) (let ((_let_49 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))))) (let ((_let_50 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 _let_28))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50))) (let ((_let_54 (and _let_50 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 _let_10)))) (let ((_let_55 (= _let_51 _let_54))) (let ((_let_56 (not _let_49))) (let ((_let_57 (_let_56))) (let ((_let_58 (_let_49))) (let ((_let_59 ((not (= (tptp.member D _let_28) false))))) (let ((_let_60 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59))) (let ((_let_61 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_62 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_63 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 _let_28))) (let ((_let_64 (not _let_63))) (let ((_let_65 (or _let_64 _let_62))) (let ((_let_66 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 _let_10))) (let ((_let_67 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_66))) (let ((_let_68 (= _let_63 _let_67))) (let ((_let_69 (not _let_66))) (let ((_let_70 (or _let_69 _let_62))) (let ((_let_71 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_72 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_73 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 _let_10))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_74 _let_72))) (let ((_let_76 (and _let_72 (not (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))) (let ((_let_77 (= _let_73 _let_76))) (let ((_let_78 (not _let_71))) (let ((_let_79 (_let_78))) (let ((_let_80 (_let_71))) (let ((_let_81 (not _let_61))) (let ((_let_82 (_let_81))) (let ((_let_83 (_let_61))) (let ((_let_84 (not _let_37))) (let ((_let_85 (_let_84))) (let ((_let_86 (_let_37))) (let ((_let_87 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_59))) (let ((_let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (_let_21 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_34 false _let_3)))) (let ((_let_89 (not _let_34))) (let ((_let_90 (_let_34))) (let ((_let_91 (REORDERING (CNF_EQUIV_POS1 :args _let_90) :args ((or (not _let_33) _let_27 _let_89))))) (let ((_let_92 (forall ((D $$unsorted)) (= (tptp.member D (tptp.difference (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_93 (not _let_35))) (let ((_let_94 (= _let_28 _let_32))) (let ((_let_95 (not _let_92))) (let ((_let_96 (or _let_95 _let_94))) (let ((_let_97 (forall ((B $$unsorted) (C $$unsorted)) (or (not (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C)))) (= B C))))) (let ((_let_98 (EQ_RESOLVE (ASSUME :args (_let_5)) (MACRO_SR_EQ_INTRO :args (_let_5 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_99 (not _let_94))) (let ((_let_100 (_let_2))) (let ((_let_101 (ASSUME :args _let_100))) (let ((_let_102 (_let_95))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_102)) :args _let_102)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_92))) (REFL :args (_let_93)) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_94 _let_95 (not _let_96)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_101) :args _let_100)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_99)) :args _let_48)) _let_101 :args (_let_99 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_98 :args (_let_32 _let_28 QUANTIFIERS_INST_ENUM)) :args (_let_97)))) _let_98 :args (_let_96 false _let_97)) :args (_let_95 true _let_94 false _let_96)) :args (_let_93 true _let_92)))) (let ((_let_104 (_let_35))) (let ((_let_105 (REORDERING (CNF_EQUIV_NEG1 :args _let_104) :args ((or _let_33 _let_29 _let_35))))) (let ((_let_106 (MACRO_RESOLUTION_TRUST _let_105 _let_103 _let_91 _let_88 (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_22 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_86) :args _let_87) :args _let_86)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_85)) :args _let_85)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_84) _let_37))) (REFL :args ((not _let_41))) :args _let_48)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_46)) (REORDERING (CNF_EQUIV_POS2 :args (_let_47)) :args ((or _let_38 (not _let_46) (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_69 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_47 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_40 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_83) :args _let_60) :args _let_83)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_82)) :args _let_82)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_61))) (REFL :args ((not _let_65))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_67 1)) :args ((or _let_66 (not _let_67)))) (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_62 _let_69 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_80) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) true))))) :args _let_80)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_79)) :args _let_79)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_71))) (REFL :args ((not _let_75))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_76 0)) :args ((or _let_72 (not _let_76)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_77)) :args ((or _let_74 _let_76 (not _let_77)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_14 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_43 QUANTIFIERS_INST_E_MATCHING _let_15)) :args _let_13)) _let_14 :args (_let_77 false _let_3)) (CNF_OR_NEG :args (_let_75 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_75 0)) (CONG (REFL :args (_let_75)) (MACRO_SR_PRED_INTRO :args ((= (not _let_74) _let_73))) :args _let_48)) :args ((or _let_73 _let_75))) :args (_let_75 false _let_76 false _let_77 true _let_72 false _let_73)) :args (_let_71 false _let_75)) :args (_let_70 false _let_71)) (REORDERING (CNF_EQUIV_POS1 :args (_let_68)) :args ((or _let_64 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_50 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_68 false _let_4)) (CNF_OR_NEG :args (_let_65 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_65 0)) (CONG (REFL :args (_let_65)) (MACRO_SR_PRED_INTRO :args ((= (not _let_64) _let_63))) :args _let_48)) :args ((or _let_63 _let_65))) :args (_let_65 true _let_66 false _let_70 false _let_67 false _let_68 true _let_62 false _let_63)) :args (_let_61 false _let_65)) :args (_let_45 false _let_61)) (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_40 _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_58) :args _let_60) :args _let_58)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_57)) :args _let_57)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_56) _let_49))) (REFL :args ((not _let_53))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_54 0)) :args ((or _let_50 (not _let_54)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_55)) :args ((or _let_52 _let_54 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_55 false _let_4)) (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_48)) :args ((or _let_51 _let_53))) :args (_let_53 false _let_54 false _let_55 true _let_50 false _let_51)) :args (_let_49 false _let_53)) :args (_let_43 false _let_49)) (CNF_OR_NEG :args (_let_41 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_41 0)) (CONG (REFL :args (_let_41)) (MACRO_SR_PRED_INTRO :args ((= (not _let_40) _let_39))) :args _let_48)) :args ((or _let_39 _let_41))) :args (_let_41 true _let_46 false _let_47 false _let_44 false _let_45 false _let_42 false _let_43 true _let_38 false _let_39)) :args (_let_37 false _let_41)) :args (_let_31 false _let_37)) (REORDERING (CNF_AND_POS :args (_let_27 0)) :args ((or _let_22 _let_36))) :args (_let_22 true _let_35 true _let_33 false _let_34 true _let_29 false _let_31 true _let_27)))) (let ((_let_107 (not _let_22))) (let ((_let_108 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args (_let_23)) :args ((or _let_107 _let_20 (not _let_23)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_23 false _let_4)) :args (_let_20 false _let_22 false _let_23)))) (let ((_let_109 (not _let_20))) (let ((_let_110 (= _let_29 _let_18))) (let ((_let_111 (not _let_18))) (let ((_let_112 (or _let_30 _let_11))) (let ((_let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_7) _let_6))))) (let ((_let_114 (_let_27))) (let ((_let_115 (not _let_9))) (let ((_let_116 (forall ((D $$unsorted)) (let ((_let_1 (tptp.difference SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (or (not (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_1))) (tptp.member D _let_1)))))) (let ((_let_117 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_10))) (let ((_let_118 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_28))) (let ((_let_119 (not _let_118))) (let ((_let_120 (or _let_119 _let_117))) (let ((_let_121 (and (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_117))) (let ((_let_122 (= _let_118 _let_121))) (let ((_let_123 (not _let_116))) (let ((_let_124 (_let_123))) (let ((_let_125 (_let_116))) (let ((_let_126 (not _let_12))) (let ((_let_127 (_let_12))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_127) :args ((or _let_19 _let_9 _let_126))) _let_16 (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_30 _let_11 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_125) :args _let_87) :args _let_125)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_124)) :args _let_124)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_123) _let_116))) (REFL :args ((not _let_120))) :args _let_48)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_121 1)) :args ((or _let_117 (not _let_121)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_122)) :args ((or _let_119 _let_121 (not _let_122)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_122 false _let_4)) (CNF_OR_NEG :args (_let_120 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_120 0)) (CONG (REFL :args (_let_120)) (MACRO_SR_PRED_INTRO :args ((= (not _let_119) _let_118))) :args _let_48)) :args ((or _let_118 _let_120))) :args (_let_120 false _let_121 false _let_122 true _let_117 false _let_118)) :args (_let_116 false _let_120)) :args (_let_112 false _let_116)) (REORDERING (CNF_AND_POS :args (_let_9 1)) :args ((or _let_7 _let_115))) _let_105 _let_103 (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_114) (CONG (REFL :args _let_114) (REFL :args (_let_107)) _let_113 :args _let_48)) :args ((or _let_6 _let_27 _let_107))) _let_106 _let_91 _let_88 :args (_let_27 false _let_12 false _let_11 false _let_112 true _let_9 false _let_29 true _let_35 false _let_6 false _let_22 true _let_33 false _let_34)))) (let ((_let_129 (not _let_8))) (let ((_let_130 (_let_9))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_127) :args ((or _let_11 _let_115 _let_126))) (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (CNF_AND_NEG :args _let_130) (CONG (REFL :args _let_130) (REFL :args (_let_129)) _let_113 :args _let_48)) :args ((or _let_6 _let_129 _let_9))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_27 1)) :args ((or _let_7 _let_36))) _let_128 :args (_let_7 false _let_27)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 1)) :args ((or _let_8 _let_109))) _let_108 :args (_let_8 false _let_20)) :args (_let_9 true _let_6 false _let_8)) (MACRO_RESOLUTION_TRUST (CNF_AND_NEG :args (_let_18)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_110)) :args ((or _let_29 _let_111 (not _let_110)))) (MACRO_RESOLUTION_TRUST (CNF_EQUIV_NEG2 :args _let_104) _let_103 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_90) :args ((or _let_33 _let_36 _let_89))) _let_128 _let_88 :args (_let_33 false _let_27 false _let_34)) :args (_let_30 true _let_35 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_75 QUANTIFIERS_INST_E_MATCHING _let_26)) :args _let_24)) _let_25 :args (_let_110 false _let_4)) :args (_let_111 true _let_29 false _let_110)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_20 0)) :args ((or _let_17 _let_109))) _let_108 :args (_let_17 false _let_20)) :args (_let_19 true _let_18 false _let_17)) _let_16 :args (false false _let_9 true _let_11 false _let_12)) :args (_let_5 _let_4 _let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))) (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_2 true)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.95/1.13  )
% 0.95/1.13  % SZS output end Proof for SET634+3
% 0.95/1.13  % cvc5---1.0.5 exiting
% 0.95/1.13  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------