%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n020.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 14:40:47 EDT 2023

% Result   : Unsatisfiable 1.01s 1.24s
% Output   : Proof 1.01s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SET861-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.14  % Command    : do_cvc5 %s %d
% 0.13/0.35  % Computer : n020.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 09:19:14 EDT 2023
% 0.13/0.35  % CPUTime    : 
% 0.20/0.51  %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.KIPpdEtr7i/cvc5---1.0.5_17904.p...
% 0.20/0.52  ------- get file name : TPTP file name is SET861-2
% 0.20/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_17904.smt2...
% 0.20/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.01/1.24  % SZS status Unsatisfiable for SET861-2
% 1.01/1.24  % SZS output start Proof for SET861-2
% 1.01/1.24  (
% 1.01/1.24  (let ((_let_1 (forall ((V_V $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals V_V (tptp.v_x V_U) _let_1) (not (tptp.c_in V_V V_U _let_1)) (not (tptp.c_in V_U (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a) (tptp.tc_set _let_1)))))))) (let ((_let_2 (forall ((V_U $$unsorted)) (or (not (= V_U (tptp.v_xa V_U))) (not (tptp.c_in V_U tptp.v_S (tptp.tc_set tptp.t_a))))))) (let ((_let_3 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals V_U (tptp.v_xa V_U) _let_1) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_4 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_in (tptp.v_xa V_U) tptp.v_S _let_1) (not (tptp.c_in V_U tptp.v_S _let_1))))))) (let ((_let_5 (forall ((V_U $$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.c_Zorn_Ochain tptp.v_S tptp.t_a) (tptp.tc_set _let_1)))))))) (let ((_let_6 (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_7 (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_8 (forall ((V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.c_Zorn_Ochain V_S T_a) (tptp.tc_set (tptp.tc_set (tptp.tc_set T_a))))))) (let ((_let_9 (forall ((V_S $$unsorted) (T_a $$unsorted)) (tptp.c_in (tptp.c_Zorn_OHausdorff__1 V_S T_a) (tptp.c_Zorn_Omaxchain V_S T_a) (tptp.tc_set (tptp.tc_set T_a)))))) (let ((_let_10 (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_11 (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_12 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_B T_a)) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_13 (forall ((V_A $$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_14 (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_15 (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_16 (tptp.tc_set tptp.t_a))) (let ((_let_17 (tptp.c_Zorn_OHausdorff__1 tptp.v_S tptp.t_a))) (let ((_let_18 (tptp.v_x _let_17))) (let ((_let_19 (tptp.c_Zorn_Omaxchain__super__lemma__1 _let_17 _let_18 tptp.t_a))) (let ((_let_20 (tptp.c_in _let_19 _let_17 _let_16))) (let ((_let_21 (tptp.v_xa _let_18))) (let ((_let_22 (tptp.c_Main_OsubsetI__1 _let_21 _let_18 tptp.t_a))) (let ((_let_23 (tptp.c_in _let_22 _let_18 tptp.t_a))) (let ((_let_24 (tptp.tc_set _let_16))) (let ((_let_25 (tptp.c_Zorn_Ochain tptp.v_S tptp.t_a))) (let ((_let_26 (tptp.c_in (tptp.c_union (tptp.c_insert _let_21 tptp.c_emptyset _let_16) _let_17 _let_16) _let_25 _let_24))) (let ((_let_27 (not _let_26))) (let ((_let_28 (tptp.c_Zorn_Omaxchain tptp.v_S tptp.t_a))) (let ((_let_29 (tptp.c_in _let_17 _let_28 _let_24))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c_in _let_22 _let_21 tptp.t_a))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_27 _let_23 _let_20))) (let ((_let_34 (_let_7))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (not _let_33))) (let ((_let_37 (tptp.c_in _let_17 _let_25 _let_24))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_20))) (let ((_let_40 (tptp.c_lessequals _let_19 _let_18 _let_16))) (let ((_let_41 (or _let_40 _let_39 _let_38))) (let ((_let_42 (_let_1))) (let ((_let_43 (ASSUME :args _let_42))) (let ((_let_44 (not _let_40))) (let ((_let_45 (or _let_32 _let_30 _let_27 _let_44 _let_23))) (let ((_let_46 (_let_6))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 (tptp.c_in _let_21 tptp.v_S _let_16))) (let ((_let_49 (tptp.c_Zorn_Ochain__extend__1 _let_17 _let_21 tptp.t_a))) (let ((_let_50 (tptp.c_in _let_49 _let_17 _let_16))) (let ((_let_51 (not _let_48))) (let ((_let_52 (or _let_51 _let_38 _let_50 _let_26))) (let ((_let_53 (tptp.c_lessequals _let_49 _let_21 _let_16))) (let ((_let_54 (not _let_53))) (let ((_let_55 (or _let_51 _let_38 _let_54 _let_26))) (let ((_let_56 (not _let_50))) (let ((_let_57 (tptp.c_lessequals _let_49 _let_18 _let_16))) (let ((_let_58 (or _let_57 _let_56 _let_38))) (let ((_let_59 (tptp.c_Main_OsubsetI__1 _let_49 _let_21 tptp.t_a))) (let ((_let_60 (tptp.c_in _let_59 _let_49 tptp.t_a))) (let ((_let_61 (or _let_60 _let_53))) (let ((_let_62 (tptp.c_in _let_59 _let_21 tptp.t_a))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_53))) (let ((_let_65 (tptp.c_in _let_59 _let_18 tptp.t_a))) (let ((_let_66 (not _let_57))) (let ((_let_67 (not _let_60))) (let ((_let_68 (or _let_67 _let_66 _let_65))) (let ((_let_69 (tptp.c_lessequals _let_18 _let_21 _let_16))) (let ((_let_70 (not _let_69))) (let ((_let_71 (not _let_65))) (let ((_let_72 (or _let_71 _let_70 _let_62))) (let ((_let_73 (tptp.c_lessequals _let_28 _let_25 (tptp.tc_set _let_24)))) (let ((_let_74 (not _let_73))) (let ((_let_75 (or _let_30 _let_74 _let_37))) (let ((_let_76 (_let_14))) (let ((_let_77 (ASSUME :args _let_76))) (let ((_let_78 (not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) false)))) (let ((_let_79 ((not (= (tptp.c_in V_c V_A T_a) false)) _let_78))) (let ((_let_80 (_let_9))) (let ((_let_81 (ASSUME :args _let_80))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Omaxchain V_S T_a)))) :args _let_80)) _let_81 :args (_let_29 false _let_9)))) (let ((_let_83 (_let_8))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_75)) :args ((or _let_74 _let_30 _let_37 (not _let_75)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Ochain V_S T_a)))) :args _let_83)) _let_84 :args (_let_73 false _let_8)) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_17 _let_28 _let_24 _let_25 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_76)) _let_77 :args (_let_75 false _let_14)) :args (_let_37 false _let_73 false _let_29 false _let_75)))) (let ((_let_86 (tptp.c_in _let_18 tptp.v_S _let_16))) (let ((_let_87 (not _let_86))) (let ((_let_88 (or _let_48 _let_87))) (let ((_let_89 (_let_4))) (let ((_let_90 (ASSUME :args _let_89))) (let ((_let_91 (or _let_86 _let_38))) (let ((_let_92 (_let_5))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_38 _let_86 (not _let_91)))) _let_85 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U _let_25 _let_24) false))))) :args _let_92)) _let_93 :args (_let_91 false _let_5)) :args (_let_86 false _let_37 false _let_91)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_88)) :args ((or _let_87 _let_48 (not _let_88)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_90 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.v_xa V_U)))) :args _let_89)) _let_90 :args (_let_88 false _let_4)) :args (_let_48 false _let_86 false _let_88)))) (let ((_let_96 (_let_11))) (let ((_let_97 (ASSUME :args _let_96))) (let ((_let_98 (tptp.tc_set T_a))) (let ((_let_99 (_let_10))) (let ((_let_100 (ASSUME :args _let_99))) (let ((_let_101 (tptp.tc_set T_a))) (let ((_let_102 (_let_13))) (let ((_let_103 (ASSUME :args _let_102))) (let ((_let_104 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_105 (_let_12))) (let ((_let_106 (ASSUME :args _let_105))) (let ((_let_107 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_108 (or _let_69 _let_87))) (let ((_let_109 (_let_3))) (let ((_let_110 (ASSUME :args _let_109))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_87 _let_69 (not _let_108)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_110 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_S _let_16) false))))) :args _let_109)) _let_110 :args (_let_108 false _let_3)) :args (_let_69 false _let_86 false _let_108)))) (let ((_let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_70 _let_62 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_59 _let_18 tptp.t_a _let_21 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c V_B T_a) true)) _let_78))) :args _let_76)) _let_77 :args (_let_72 false _let_14)) _let_111 (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_67 _let_66 _let_65 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_77 :args (_let_59 _let_49 tptp.t_a _let_18 QUANTIFIERS_INST_E_MATCHING _let_79)) :args _let_76)) _let_77 :args (_let_68 false _let_14)) (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_53 _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_49 _let_21 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_105)) _let_106 :args (_let_64 false _let_12)) (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_53 _let_60 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_49 _let_21 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_61 false _let_13)) (REORDERING (CNF_OR_POS :args (_let_58)) :args ((or _let_38 _let_56 _let_57 (not _let_58)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_49 _let_17 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_V V_U _let_16) false))))) :args _let_42)) _let_43 :args (_let_58 false _let_1)) _let_85 (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_38 _let_51 _let_26 _let_54 (not _let_55)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_100 :args (_let_21 tptp.v_S tptp.t_a _let_17 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_101) V_c _let_101) (tptp.c_Zorn_Ochain V_S T_a) (tptp.tc_set _let_101)) true))))) :args _let_99)) _let_100 :args (_let_55 false _let_10)) _let_95 _let_85 (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_38 _let_51 _let_26 _let_50 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_97 :args (_let_21 tptp.v_S tptp.t_a _let_17 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_union (tptp.c_insert V_z tptp.c_emptyset _let_98) V_c _let_98) (tptp.c_Zorn_Ochain V_S T_a) (tptp.tc_set _let_98)) true))))) :args _let_96)) _let_97 :args (_let_52 false _let_11)) _let_95 _let_85 :args (_let_26 false _let_72 false _let_69 false _let_65 false _let_68 true _let_62 false _let_64 false _let_60 false _let_61 false _let_57 false _let_58 false _let_37 true _let_53 false _let_55 false _let_48 false _let_37 false _let_50 false _let_52 false _let_48 false _let_37)))) (let ((_let_113 (tptp.c_lessequals _let_21 _let_18 _let_16))) (let ((_let_114 (or _let_31 _let_113))) (let ((_let_115 (= _let_18 _let_21))) (let ((_let_116 (not _let_113))) (let ((_let_117 (or _let_70 _let_116 _let_115))) (let ((_let_118 (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_119 (EQ_RESOLVE (ASSUME :args (_let_15)) (MACRO_SR_EQ_INTRO :args (_let_15 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_120 (not _let_115))) (let ((_let_121 (or _let_120 _let_87))) (let ((_let_122 (_let_2))) (let ((_let_123 (ASSUME :args _let_122))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_117)) :args ((or _let_115 _let_70 _let_116 (not _let_117)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_121)) :args ((or _let_87 _let_120 (not _let_121)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_123 :args (_let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in V_U tptp.v_S _let_16) false))))) :args _let_122)) _let_123 :args (_let_121 false _let_2)) :args (_let_120 false _let_86 false _let_121)) _let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_119 :args (_let_18 _let_21 tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)) false))))) :args (_let_118))) _let_119 :args (_let_117 false _let_118)) :args (_let_116 true _let_115 false _let_69 false _let_117)))) (let ((_let_125 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_114)) :args ((or _let_113 _let_31 (not _let_114)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_103 :args (_let_21 _let_18 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_104)) :args _let_102)) _let_103 :args (_let_114 false _let_13)) :args (_let_31 true _let_113 false _let_114)))) (let ((_let_126 (not _let_23))) (let ((_let_127 (or _let_126 _let_113))) (let ((_let_128 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_127)) :args ((or _let_113 _let_126 (not _let_127)))) _let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_106 :args (_let_21 _let_18 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_107)) :args _let_105)) _let_106 :args (_let_127 false _let_12)) :args (_let_126 true _let_113 false _let_127)))) (let ((_let_129 (tptp.tc_set T_a))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_22 _let_21 tptp.t_a _let_17 tptp.v_S _let_18 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in (tptp.c_union (tptp.c_insert V_x tptp.c_emptyset _let_129) V_c _let_129) (tptp.c_Zorn_Ochain V_S T_a) (tptp.tc_set _let_129)) false)) (not (= (tptp.c_in V_z V_x T_a) false)) (tptp.c_Zorn_Omaxchain__super__lemma__1 V_c V_y T_a)))) :args _let_34)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_30 _let_23 _let_32 _let_27 _let_20 _let_36))) _let_82 _let_128 _let_125 _let_112 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_38 _let_40 _let_39 (not _let_41)))) _let_85 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_30 _let_23 _let_32 _let_27 _let_44 (not _let_45)))) _let_82 _let_128 _let_125 _let_112 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_22 _let_21 tptp.t_a _let_17 tptp.v_S _let_18 QUANTIFIERS_INST_E_MATCHING ((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_x T_a) false)) (not (= (tptp.c_in V_z V_y T_a) true))))) :args _let_46)) _let_47 :args (_let_45 false _let_6)) :args (_let_44 false _let_29 true _let_23 false _let_31 false _let_26 false _let_45)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_43 :args (_let_19 _let_17 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_V (tptp.v_x V_U) _let_16) true))))) :args _let_42)) _let_43 :args (_let_41 false _let_1)) :args (_let_39 false _let_37 true _let_40 false _let_41)) :args (_let_36 false _let_29 true _let_23 false _let_31 false _let_26 true _let_20)) _let_35 :args (false true _let_33 false _let_7)) :args (_let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.01/1.24  )
% 1.01/1.25  % SZS output end Proof for SET861-2
% 1.01/1.25  % cvc5---1.0.5 exiting
% 1.01/1.25  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------