%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET159+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n015.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 14:37:59 EDT 2023

% Result   : Theorem 0.73s 0.96s
% Output   : Proof 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET159+3 : TPTP v8.1.2. Released v2.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n015.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 15:12:23 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.20/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.73/0.96  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.POufirBlOm/cvc5---1.0.5_9508.p...
% 0.73/0.96  ------- get file name : TPTP file name is SET159+3
% 0.73/0.96  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_9508.smt2...
% 0.73/0.96  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.73/0.96  % SZS status Theorem for SET159+3
% 0.73/0.96  % SZS output start Proof for SET159+3
% 0.73/0.96  (
% 0.73/0.96  (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.union (tptp.union B C) D) (tptp.union B (tptp.union C D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_6 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_7 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_8 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 _let_7))) (let ((_let_9 (or _let_8 _let_6))) (let ((_let_10 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_11 (tptp.union _let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 _let_11))) (let ((_let_13 (not _let_6))) (let ((_let_14 (or _let_13 _let_12))) (let ((_let_15 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D (tptp.union (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_16 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 _let_11))) (let ((_let_17 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16))) (let ((_let_20 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 _let_10))) (let ((_let_21 (or _let_18 _let_20))) (let ((_let_22 (or _let_20 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_23 (= _let_16 _let_22))) (let ((_let_24 (or))) (let ((_let_25 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_26 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 _let_10))) (let ((_let_27 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_28 (not _let_27))) (let ((_let_29 (or _let_28 _let_26))) (let ((_let_30 (or _let_27 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_31 (= _let_26 _let_30))) (let ((_let_32 (_let_5))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 ((tptp.member D (tptp.union B C))))) (let ((_let_35 (not _let_25))) (let ((_let_36 (_let_35))) (let ((_let_37 (_let_25))) (let ((_let_38 (not _let_15))) (let ((_let_39 (_let_38))) (let ((_let_40 (_let_15))) (let ((_let_41 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D _let_11) true)))))) (let ((_let_42 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7))) (let ((_let_43 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 _let_42))) (let ((_let_44 (= _let_43 _let_12))) (let ((_let_45 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_46 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 _let_10))) (let ((_let_47 (or _let_46 _let_45))) (let ((_let_48 (= _let_12 _let_47))) (let ((_let_49 (tptp.union _let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_50 (= _let_42 _let_49))) (let ((_let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 _let_49))) (let ((_let_52 (= _let_51 _let_9))) (let ((_let_53 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_54 (or _let_53 _let_45))) (let ((_let_55 (= _let_8 _let_54))) (let ((_let_56 (or _let_53 _let_6))) (let ((_let_57 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 _let_57))) (let ((_let_59 (= _let_58 _let_56))) (let ((_let_60 (= _let_10 _let_57))) (let ((_let_61 (not _let_12))) (let ((_let_62 (forall ((D $$unsorted)) (= (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D (tptp.union (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_63 (not _let_44))) (let ((_let_64 (= _let_11 _let_42))) (let ((_let_65 (= _let_64 _let_62))) (let ((_let_66 (not _let_62))) (let ((_let_67 (_let_3))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (not _let_64))) (let ((_let_70 (_let_2))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (_let_66))) (let ((_let_73 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_72)) :args _let_72)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_62))) (REFL :args (_let_63)) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_65)) :args ((or _let_64 _let_66 (not _let_65)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_71) :args _let_70)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_69)) :args _let_24)) _let_71 :args (_let_69 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_42 _let_11 QUANTIFIERS_INST_ENUM)) :args _let_67))) _let_68 :args (_let_65 false _let_3)) :args (_let_66 true _let_64 false _let_65)) :args (_let_63 true _let_62)))) (let ((_let_74 (_let_44))) (let ((_let_75 (_let_4))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 ((tptp.union B C)))) (let ((_let_78 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_7 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)) _let_76 :args (_let_50 false _let_4)))) (let ((_let_79 (not _let_51))) (let ((_let_80 (not _let_43))) (let ((_let_81 (and _let_50 _let_80))) (let ((_let_82 (ASSUME :args (_let_80)))) (let ((_let_83 (APPLY_UF tptp.member))) (let ((_let_84 (ASSUME :args (_let_50)))) (let ((_let_85 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61)))) (let ((_let_86 (CONG _let_85 (SYMM _let_84) :args _let_83))) (let ((_let_87 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_7 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_52 false _let_5)))) (let ((_let_88 (not _let_52))) (let ((_let_89 (not _let_9))) (let ((_let_90 (_let_52))) (let ((_let_91 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_55 false _let_5)))) (let ((_let_92 (not _let_55))) (let ((_let_93 (not _let_54))) (let ((_let_94 (_let_55))) (let ((_let_95 (not _let_53))) (let ((_let_96 (not _let_45))) (let ((_let_97 (and _let_60 _let_46))) (let ((_let_98 (ASSUME :args (_let_46)))) (let ((_let_99 (ASSUME :args (_let_60)))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_97)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_98 _let_99) (SCOPE (TRUE_ELIM (TRANS (CONG _let_85 (SYMM _let_99) :args _let_83) (TRUE_INTRO _let_98))) :args (_let_46 _let_60))) :args (_let_60 _let_46))) :args (true _let_97)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_77)) :args _let_75)) _let_76 :args (_let_60 false _let_4)) (REORDERING (CNF_EQUIV_POS1 :args (_let_59)) :args ((or _let_56 (not _let_58) (not _let_59)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_59 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_46 _let_45 (not _let_47)))) (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_6 _let_53 (not _let_56)))) (REORDERING (CNF_OR_NEG :args (_let_54 1)) :args ((or _let_96 _let_54))) (REORDERING (CNF_OR_NEG :args (_let_54 0)) :args ((or _let_95 _let_54))) (REORDERING (CNF_EQUIV_POS2 :args _let_94) :args ((or _let_8 _let_93 _let_92))) _let_91 (CNF_OR_NEG :args (_let_9 1)) (CNF_OR_NEG :args (_let_9 0)) (REORDERING (CNF_EQUIV_POS2 :args _let_90) :args ((or _let_51 _let_89 _let_88))) _let_87 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_81)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_82 _let_84) (SCOPE (FALSE_ELIM (TRANS _let_86 (FALSE_INTRO _let_82))) :args (_let_80 _let_50))) :args (_let_50 _let_80))) :args (true _let_81)) (CONG (REFL :args ((not _let_50))) (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_43))) (REFL :args (_let_79)) :args _let_24)) _let_78 (REORDERING (CNF_EQUIV_POS1 :args (_let_48)) :args ((or _let_61 _let_47 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_61 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_48 false _let_5)) (CNF_EQUIV_NEG2 :args _let_74) _let_73 :args (_let_61 false _let_60 true _let_58 false _let_59 false _let_46 true _let_56 true _let_45 true _let_53 true _let_54 false _let_55 true _let_6 true _let_8 true _let_9 false _let_52 true _let_51 false _let_50 false _let_47 false _let_48 true _let_43 true _let_44)))) (let ((_let_101 (and _let_50 _let_43))) (let ((_let_102 (ASSUME :args (_let_43)))) (let ((_let_103 (not _let_8))) (let ((_let_104 (or _let_95 _let_12))) (let ((_let_105 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member D (tptp.union (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_106 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_11))) (let ((_let_107 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_108 (not _let_107))) (let ((_let_109 (or _let_108 _let_106))) (let ((_let_110 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 _let_10))) (let ((_let_111 (or _let_108 _let_110))) (let ((_let_112 (or _let_110 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_113 (= _let_106 _let_112))) (let ((_let_114 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_115 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_10))) (let ((_let_116 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_115))) (let ((_let_119 (or (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_116))) (let ((_let_120 (= _let_115 _let_119))) (let ((_let_121 (not _let_114))) (let ((_let_122 (_let_121))) (let ((_let_123 (_let_114))) (let ((_let_124 (not _let_105))) (let ((_let_125 (_let_124))) (let ((_let_126 (_let_105))) (let ((_let_127 (or _let_96 _let_12))) (let ((_let_128 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)) (tptp.member D (tptp.union (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))))) (let ((_let_129 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_11))) (let ((_let_130 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_131 _let_129))) (let ((_let_133 (or (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_10) _let_130))) (let ((_let_134 (= _let_129 _let_133))) (let ((_let_135 (not _let_128))) (let ((_let_136 (_let_135))) (let ((_let_137 (_let_128))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_9)) :args ((or _let_8 _let_6 _let_89))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_94) :args ((or _let_103 _let_54 _let_92))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_45 _let_53 _let_93))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_12 _let_96 (not _let_127)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_137) :args _let_41) :args _let_137)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_136)) :args _let_136)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_135) _let_128))) (REFL :args ((not _let_132))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_134)) :args ((or _let_129 (not _let_133) (not _let_134)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_134 false _let_5)) (REORDERING (CNF_OR_NEG :args (_let_133 1)) :args ((or _let_131 _let_133))) (CNF_OR_NEG :args (_let_132 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_132 0)) (CONG (REFL :args (_let_132)) (MACRO_SR_PRED_INTRO :args ((= (not _let_131) _let_130))) :args _let_24)) :args ((or _let_130 _let_132))) :args (_let_132 false _let_134 false _let_133 true _let_129 false _let_130)) :args (_let_128 false _let_132)) :args (_let_127 false _let_128)) :args (_let_96 true _let_12 false _let_127)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_12 _let_95 (not _let_104)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_126) :args _let_41) :args _let_126)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_125)) :args _let_125)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_124) _let_105))) (REFL :args ((not _let_109))) :args _let_24)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_112 0)) (REORDERING (CNF_EQUIV_POS2 :args (_let_113)) :args ((or _let_106 (not _let_112) (not _let_113)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_113 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_111)) :args ((or _let_108 _let_110 (not _let_111)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_123) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_39 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) false))))) :args _let_123)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_122)) :args _let_122)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_114))) (REFL :args ((not _let_118))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_120)) :args ((or _let_115 (not _let_119) (not _let_120)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_120 false _let_5)) (REORDERING (CNF_OR_NEG :args (_let_119 1)) :args ((or _let_117 _let_119))) (CNF_OR_NEG :args (_let_118 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_118 0)) (CONG (REFL :args (_let_118)) (MACRO_SR_PRED_INTRO :args ((= (not _let_117) _let_116))) :args _let_24)) :args ((or _let_116 _let_118))) :args (_let_118 false _let_120 false _let_119 true _let_115 false _let_116)) :args (_let_114 false _let_118)) :args (_let_111 false _let_114)) (CNF_OR_NEG :args (_let_109 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_109 0)) (CONG (REFL :args (_let_109)) (MACRO_SR_PRED_INTRO :args ((= (not _let_108) _let_107))) :args _let_24)) :args ((or _let_107 _let_109))) :args (_let_109 true _let_112 false _let_113 false _let_110 false _let_111 true _let_106 false _let_107)) :args (_let_105 false _let_109)) :args (_let_104 false _let_105)) :args (_let_95 true _let_12 false _let_104)) :args (_let_93 true _let_45 true _let_53)) _let_91 :args (_let_103 true _let_54 false _let_55)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_90) :args ((or _let_9 _let_79 _let_88))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_101)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_102 _let_84) (SCOPE (TRUE_ELIM (TRANS _let_86 (TRUE_INTRO _let_102))) :args (_let_43 _let_50))) :args (_let_50 _let_43))) :args (true _let_101)) _let_78 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_NEG1 :args _let_74) :args ((or _let_43 _let_12 _let_44))) _let_100 _let_73 :args (_let_43 true _let_12 true _let_44)) :args (_let_51 false _let_50 false _let_43)) _let_87 :args (_let_9 false _let_51 false _let_52)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_14)) :args ((or _let_12 _let_13 (not _let_14)))) _let_100 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_40) :args _let_41) :args _let_40)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_39)) :args _let_39)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_38) _let_15))) (REFL :args ((not _let_19))) :args _let_24)) (MACRO_RESOLUTION_TRUST (CNF_OR_NEG :args (_let_22 0)) (REORDERING (CNF_EQUIV_POS2 :args (_let_23)) :args ((or _let_16 (not _let_22) (not _let_23)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (_let_10 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_23 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_21)) :args ((or _let_18 _let_20 (not _let_21)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_37) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_36 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) false))))) :args _let_37)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_36)) :args _let_36)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_35) _let_25))) (REFL :args ((not _let_29))) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_31)) :args ((or _let_26 (not _let_30) (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_28 QUANTIFIERS_INST_E_MATCHING _let_34)) :args _let_32)) _let_33 :args (_let_31 false _let_5)) (REORDERING (CNF_OR_NEG :args (_let_30 0)) :args ((or _let_28 _let_30))) (CNF_OR_NEG :args (_let_29 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_29 0)) (CONG (REFL :args (_let_29)) (MACRO_SR_PRED_INTRO :args ((= (not _let_28) _let_27))) :args _let_24)) :args ((or _let_27 _let_29))) :args (_let_29 false _let_31 false _let_30 true _let_26 false _let_27)) :args (_let_25 false _let_29)) :args (_let_21 false _let_25)) (CNF_OR_NEG :args (_let_19 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_19 0)) (CONG (REFL :args (_let_19)) (MACRO_SR_PRED_INTRO :args ((= (not _let_18) _let_17))) :args _let_24)) :args ((or _let_17 _let_19))) :args (_let_19 true _let_22 false _let_23 false _let_20 false _let_21 true _let_16 false _let_17)) :args (_let_15 false _let_19)) :args (_let_14 false _let_15)) :args (_let_13 true _let_12 false _let_14)) :args (false true _let_8 false _let_9 true _let_6)) :args (_let_5 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) _let_4 (forall ((B $$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_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.73/0.96  )
% 0.73/0.96  % SZS output end Proof for SET159+3
% 0.73/0.96  % cvc5---1.0.5 exiting
% 0.73/0.96  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------