%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n018.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 14:40:48 EDT 2023

% Result   : Unsatisfiable 0.73s 0.95s
% Output   : Proof 0.73s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET862-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : do_cvc5 %s %d
% 0.14/0.35  % Computer : n018.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 09:41:00 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.wguZNopPct/cvc5---1.0.5_14009.p...
% 0.21/0.50  ------- get file name : TPTP file name is SET862-2
% 0.21/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_14009.smt2...
% 0.21/0.51  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.73/0.95  % SZS status Unsatisfiable for SET862-2
% 0.73/0.95  % SZS output start Proof for SET862-2
% 0.73/0.95  (
% 0.73/0.95  (let ((_let_1 (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_x V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))) (let ((_let_2 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals V_U (tptp.v_x V_U) _let_1) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_3 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_in (tptp.v_x V_U) tptp.v_S _let_1) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_4 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals V_U tptp.v_y _let_1) (not (tptp.c_in V_U tptp.v_c _let_1))))))) (let ((_let_5 (tptp.tc_set tptp.t_a))) (let ((_let_6 (tptp.c_in tptp.v_y tptp.v_S _let_5))) (let ((_let_7 (tptp.tc_set _let_5))) (let ((_let_8 (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a))) (let ((_let_9 (tptp.c_in tptp.v_c _let_8 _let_7))) (let ((_let_10 (tptp.c_in tptp.v_c (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a) _let_7))) (let ((_let_11 (forall ((V_z $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_S $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (or (not (tptp.c_in V_z V_x T_a)) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) _let_2)) (not (tptp.c_in (tptp.c_union (tptp.c_insert V_x tptp.c_emptyset _let_1) V_c _let_1) (tptp.c_Zorn_Ochain V_S T_a) _let_2)) (not (tptp.c_lessequals (tptp.c_Zorn_Omaxchain__super__lemma__1 V_c V_y T_a) V_y _let_1)) (tptp.c_in V_z V_y T_a))))))) (let ((_let_12 (forall ((V_z $$unsorted) (V_x $$unsorted) (T_a $$unsorted) (V_c $$unsorted) (V_S $$unsorted) (V_y $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (or (not (tptp.c_in V_z V_x T_a)) (not (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) _let_2)) (not (tptp.c_in (tptp.c_union (tptp.c_insert V_x tptp.c_emptyset _let_1) V_c _let_1) (tptp.c_Zorn_Ochain V_S T_a) _let_2)) (tptp.c_in V_z V_y T_a) (tptp.c_in (tptp.c_Zorn_Omaxchain__super__lemma__1 V_c V_y T_a) V_c _let_1))))))) (let ((_let_13 (forall ((V_z $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_Zorn_Ochain V_S T_a))) (or (not (tptp.c_in V_z V_S _let_1)) (not (tptp.c_in V_c _let_3 _let_2)) (not (tptp.c_lessequals (tptp.c_Zorn_Ochain__extend__1 V_c V_z T_a) V_z _let_1)) (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_1) V_c _let_1) _let_3 _let_2)))))))) (let ((_let_14 (forall ((V_z $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_c $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.tc_set _let_1))) (let ((_let_3 (tptp.c_Zorn_Ochain V_S T_a))) (or (not (tptp.c_in V_z V_S _let_1)) (not (tptp.c_in V_c _let_3 _let_2)) (tptp.c_in (tptp.c_Zorn_Ochain__extend__1 V_c V_z T_a) V_c _let_1) (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_1) V_c _let_1) _let_3 _let_2)))))))) (let ((_let_15 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_B T_a)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_16 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_17 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_in V_c V_B T_a))))) (let ((_let_18 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_A V_B)))))) (let ((_let_19 (tptp.v_x tptp.v_y))) (let ((_let_20 (tptp.v_x _let_19))) (let ((_let_21 (tptp.c_Zorn_Ochain__extend__1 tptp.v_c _let_20 tptp.t_a))) (let ((_let_22 (tptp.c_Main_OsubsetI__1 _let_21 _let_20 tptp.t_a))) (let ((_let_23 (tptp.c_in _let_22 _let_20 tptp.t_a))) (let ((_let_24 (tptp.c_lessequals _let_19 _let_20 _let_5))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.c_in _let_22 _let_19 tptp.t_a))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_23))) (let ((_let_29 (_let_17))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (not _let_28))) (let ((_let_32 (tptp.c_lessequals tptp.v_y _let_19 _let_5))) (let ((_let_33 (not _let_32))) (let ((_let_34 (tptp.c_in _let_22 tptp.v_y tptp.t_a))) (let ((_let_35 (not _let_34))) (let ((_let_36 (or _let_35 _let_33 _let_26))) (let ((_let_37 (not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) false)))) (let ((_let_38 ((not (= (tptp.c_in V_c V_A T_a) false)) _let_37))) (let ((_let_39 (tptp.c_lessequals _let_21 tptp.v_y _let_5))) (let ((_let_40 (not _let_39))) (let ((_let_41 (tptp.c_in _let_22 _let_21 tptp.t_a))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_40 _let_34))) (let ((_let_44 (tptp.c_in _let_21 tptp.v_c _let_5))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_39 _let_45))) (let ((_let_47 (_let_4))) (let ((_let_48 (ASSUME :args _let_47))) (let ((_let_49 (tptp.c_in (tptp.c_union (tptp.c_insert _let_20 tptp.c_emptyset _let_5) tptp.v_c _let_5) _let_8 _let_7))) (let ((_let_50 (not _let_9))) (let ((_let_51 (tptp.c_in _let_20 tptp.v_S _let_5))) (let ((_let_52 (not _let_51))) (let ((_let_53 (or _let_52 _let_50 _let_44 _let_49))) (let ((_let_54 (_let_14))) (let ((_let_55 (ASSUME :args _let_54))) (let ((_let_56 (tptp.tc_set T_a))) (let ((_let_57 (tptp.c_Main_OsubsetI__1 _let_19 tptp.v_y tptp.t_a))) (let ((_let_58 (tptp.c_in _let_57 tptp.v_y tptp.t_a))) (let ((_let_59 (tptp.c_in _let_57 _let_20 tptp.t_a))) (let ((_let_60 (tptp.c_Zorn_Omaxchain__super__lemma__1 tptp.v_c tptp.v_y tptp.t_a))) (let ((_let_61 (tptp.c_in _let_60 tptp.v_c _let_5))) (let ((_let_62 (not _let_49))) (let ((_let_63 (not _let_10))) (let ((_let_64 (not _let_59))) (let ((_let_65 (or _let_64 _let_63 _let_62 _let_58 _let_61))) (let ((_let_66 (tptp.c_lessequals _let_60 tptp.v_y _let_5))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_64 _let_63 _let_62 _let_67 _let_58))) (let ((_let_69 (not _let_61))) (let ((_let_70 (or _let_66 _let_69))) (let ((_let_71 (ASSUME :args (_let_10)))) (let ((_let_72 (tptp.c_lessequals _let_19 tptp.v_y _let_5))) (let ((_let_73 (not _let_58))) (let ((_let_74 (or _let_73 _let_72))) (let ((_let_75 (_let_15))) (let ((_let_76 (ASSUME :args _let_75))) (let ((_let_77 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_78 (= tptp.v_y _let_19))) (let ((_let_79 (not _let_72))) (let ((_let_80 (or _let_33 _let_79 _let_78))) (let ((_let_81 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_B V_A)))))) (let ((_let_82 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_83 (not _let_6))) (let ((_let_84 (or _let_32 _let_83))) (let ((_let_85 (_let_2))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((not (= (tptp.c_in V_U tptp.v_S _let_5) false))))) (let ((_let_88 (ASSUME :args (_let_6)))) (let ((_let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_32 (not _let_84)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (tptp.v_y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_84 false _let_2)) :args (_let_32 false _let_6 false _let_84)))) (let ((_let_90 (not _let_78))) (let ((_let_91 (or _let_90 _let_83))) (let ((_let_92 (_let_1))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_78 _let_33 _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_83 _let_90 (not _let_91)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (tptp.v_y QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_S _let_5) false))))) :args _let_92)) _let_93 :args (_let_91 false _let_1)) :args (_let_90 false _let_6 false _let_91)) _let_89 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_82 :args (tptp.v_y _let_19 tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)) false))))) :args (_let_81))) _let_82 :args (_let_80 false _let_81)) :args (_let_79 true _let_78 false _let_32 false _let_80)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_72 _let_73 (not _let_74)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_19 tptp.v_y tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_74 false _let_15)) :args (_let_73 true _let_72 false _let_74)))) (let ((_let_96 (tptp.c_in _let_57 _let_19 tptp.t_a))) (let ((_let_97 (not _let_96))) (let ((_let_98 (or _let_97 _let_25 _let_59))) (let ((_let_99 (tptp.c_in _let_19 tptp.v_S _let_5))) (let ((_let_100 (not _let_99))) (let ((_let_101 (or _let_24 _let_100))) (let ((_let_102 (or _let_99 _let_83))) (let ((_let_103 (_let_3))) (let ((_let_104 (ASSUME :args _let_103))) (let ((_let_105 ((tptp.v_x V_U)))) (let ((_let_106 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_83 _let_99 (not _let_102)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (tptp.v_y QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_102 false _let_3)) :args (_let_99 false _let_6 false _let_102)))) (let ((_let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_100 _let_24 (not _let_101)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_101 false _let_2)) :args (_let_24 false _let_99 false _let_101)))) (let ((_let_108 (or _let_96 _let_72))) (let ((_let_109 (_let_16))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_98)) :args ((or _let_97 _let_25 _let_59 (not _let_98)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_72 _let_96 (not _let_108)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_19 tptp.v_y tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_111)) :args _let_109)) _let_110 :args (_let_108 false _let_16)) :args (_let_96 true _let_72 false _let_108)) _let_107 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_57 _let_19 tptp.t_a _let_20 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_29)) _let_30 :args (_let_98 false _let_17)) :args (_let_59 false _let_96 false _let_24 false _let_98)))) (let ((_let_113 (_let_12))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (_let_11))) (let ((_let_116 (ASSUME :args _let_115))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_70)) :args ((or _let_69 _let_66 (not _let_70)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_60 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_lessequals V_U tptp.v_y _let_5) true))))) :args _let_47)) _let_48 :args (_let_70 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_63 _let_58 _let_64 _let_62 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_116 :args (_let_57 _let_20 tptp.t_a tptp.v_c tptp.v_S tptp.v_y QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_z V_x T_a) false)) (not (= (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a))) false)) (tptp.c_Zorn_Omaxchain__super__lemma__1 V_c V_y T_a)))) :args _let_115)) _let_116 :args (_let_68 false _let_11)) _let_112 _let_95 _let_71 (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_63 _let_58 _let_61 _let_64 _let_62 (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (_let_57 _let_20 tptp.t_a tptp.v_c tptp.v_S tptp.v_y QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_z V_x T_a) false)) (not (= (tptp.c_in V_c (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a))) false)) (not (= (tptp.c_in V_z V_y T_a) true))))) :args _let_113)) _let_114 :args (_let_65 false _let_12)) _let_112 _let_95 _let_71 :args (_let_62 false _let_70 true _let_66 false _let_68 false _let_59 true _let_58 false _let_10 false _let_61 false _let_65 false _let_59 true _let_58 false _let_10)))) (let ((_let_118 (or _let_51 _let_100))) (let ((_let_119 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_100 _let_51 (not _let_118)))) _let_106 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_104 :args (_let_19 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_105)) :args _let_103)) _let_104 :args (_let_118 false _let_3)) :args (_let_51 false _let_99 false _let_118)))) (let ((_let_120 (ASSUME :args (_let_9)))) (let ((_let_121 (tptp.c_lessequals _let_21 _let_20 _let_5))) (let ((_let_122 (or _let_41 _let_121))) (let ((_let_123 (not _let_121))) (let ((_let_124 (or _let_52 _let_50 _let_123 _let_49))) (let ((_let_125 (_let_13))) (let ((_let_126 (ASSUME :args _let_125))) (let ((_let_127 (tptp.tc_set T_a))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_50 _let_52 _let_49 _let_123 (not _let_124)))) _let_120 _let_119 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_126 :args (_let_20 tptp.v_S tptp.t_a tptp.v_c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_127) V_c _let_127) (tptp.c_Zorn_Ochain V_S T_a) (tptp.tc_set _let_127)) true))))) :args _let_125)) _let_126 :args (_let_124 false _let_13)) :args (_let_123 false _let_9 false _let_51 true _let_49 false _let_124)))) (let ((_let_129 (not _let_23))) (let ((_let_130 (or _let_129 _let_121))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_22 _let_19 tptp.t_a _let_20 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c V_B T_a) true)) _let_37))) :args _let_29)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_25 _let_23 _let_27 _let_31))) _let_107 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_130)) :args ((or _let_121 _let_129 (not _let_130)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_76 :args (_let_21 _let_20 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_77)) :args _let_75)) _let_76 :args (_let_130 false _let_15)) :args (_let_129 true _let_121 false _let_130)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_33 _let_35 _let_26 (not _let_36)))) _let_89 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_40 _let_34 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_122)) :args ((or _let_121 _let_41 (not _let_122)))) _let_128 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_21 _let_20 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_111)) :args _let_109)) _let_110 :args (_let_122 false _let_16)) :args (_let_41 true _let_121 false _let_122)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_46)) :args ((or _let_45 _let_39 (not _let_46)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_53)) :args ((or _let_50 _let_52 _let_49 _let_44 (not _let_53)))) _let_120 _let_119 _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_55 :args (_let_20 tptp.v_S tptp.t_a tptp.v_c QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_56) V_c _let_56) (tptp.c_Zorn_Ochain V_S T_a) (tptp.tc_set _let_56)) true))))) :args _let_54)) _let_55 :args (_let_53 false _let_14)) :args (_let_44 false _let_9 false _let_51 true _let_49 false _let_53)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_48 :args (_let_21 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_c _let_5) false))))) :args _let_47)) _let_48 :args (_let_46 false _let_4)) :args (_let_39 false _let_44 false _let_46)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_22 _let_21 tptp.t_a tptp.v_y QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_29)) _let_30 :args (_let_43 false _let_17)) :args (_let_34 false _let_41 false _let_39 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_22 tptp.v_y tptp.t_a _let_19 QUANTIFIERS_INST_E_MATCHING _let_38)) :args _let_29)) _let_30 :args (_let_36 false _let_17)) :args (_let_26 false _let_32 false _let_34 false _let_36)) :args (_let_31 false _let_24 true _let_23 false _let_26)) _let_30 :args (false true _let_28 false _let_17)) :args (_let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_6 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.73/0.95  )
% 0.73/0.96  % SZS output end Proof for SET862-2
% 0.73/0.96  % cvc5---1.0.5 exiting
% 0.73/0.96  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------