%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET854-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n024.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 14:40:44 EDT 2023

% Result   : Unsatisfiable 1.20s 1.48s
% Output   : Proof 1.20s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13  % Problem    : SET854-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.14  % Command    : do_cvc5 %s %d
% 0.14/0.36  % Computer : n024.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sat Aug 26 13:14:08 EDT 2023
% 0.14/0.36  % CPUTime    : 
% 0.21/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.51  ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.pULhVs3P5z/cvc5---1.0.5_7833.p...
% 0.21/0.52  ------- get file name : TPTP file name is SET854-2
% 0.21/0.52  ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_7833.smt2...
% 0.21/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.20/1.48  % SZS status Unsatisfiable for SET854-2
% 1.20/1.48  % SZS output start Proof for SET854-2
% 1.20/1.49  (
% 1.20/1.49  (let ((_let_1 (forall ((V_V $$unsorted) (V_U $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set tptp.t_a)))) (or (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S V_V tptp.t_a) V_U _let_1) (= V_V V_U) (not (tptp.c_lessequals V_V V_U _let_1)) (not (tptp.c_in V_V (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a) _let_1)) (not (tptp.c_in V_U tptp.v_Y _let_1))))))) (let ((_let_2 (tptp.tc_set tptp.t_a))) (let ((_let_3 (tptp.tc_set _let_2))) (let ((_let_4 (tptp.c_Union tptp.v_Y _let_2))) (let ((_let_5 (tptp.c_Zorn_Osucc tptp.v_S tptp.v_x tptp.t_a))) (let ((_let_6 (tptp.c_lessequals _let_5 _let_4 _let_3))) (let ((_let_7 (not _let_6))) (let ((_let_8 (= tptp.v_x _let_4))) (let ((_let_9 (not _let_8))) (let ((_let_10 (tptp.c_lessequals tptp.v_x _let_4 _let_3))) (let ((_let_11 (tptp.c_Zorn_OTFin tptp.v_S tptp.t_a))) (let ((_let_12 (tptp.c_in tptp.v_x _let_11 _let_3))) (let ((_let_13 (tptp.c_lessequals tptp.v_Y _let_11 (tptp.tc_set _let_3)))) (let ((_let_14 (forall ((V_B $$unsorted) (V_A $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.c_Union V_C T_a))) (or (not (tptp.c_lessequals V_B (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) _let_1)) (tptp.c_lessequals V_B _let_2 _let_1) (tptp.c_lessequals _let_2 V_A _let_1))))))) (let ((_let_15 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.c_Union V_C T_a))) (or (not (tptp.c_lessequals (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_A _let_1)) (tptp.c_lessequals V_B _let_2 _let_1) (tptp.c_lessequals _let_2 V_A _let_1))))))) (let ((_let_16 (forall ((V_A $$unsorted) (V_B $$unsorted) (V_C $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (let ((_let_2 (tptp.c_Union V_C T_a))) (or (tptp.c_in (tptp.c_Zorn_OUnion__lemma0__1 V_A V_B V_C T_a) V_C _let_1) (tptp.c_lessequals V_B _let_2 _let_1) (tptp.c_lessequals _let_2 V_A _let_1))))))) (let ((_let_17 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) T_a) V_m _let_1)) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_18 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (= (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) V_m)) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_19 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_20 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (tptp.c_in (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a) _let_2 _let_1) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_21 (forall ((V_x $$unsorted) (V_S $$unsorted) (T_a $$unsorted)) (tptp.c_lessequals V_x (tptp.c_Zorn_Osucc V_S V_x T_a) (tptp.tc_set (tptp.tc_set T_a)))))) (let ((_let_22 (forall ((V_A $$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_23 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_24 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_in V_c V_B T_a))))) (let ((_let_25 (forall ((V_B $$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_26 (tptp.c_Zorn_OUnion__lemma0__1 tptp.v_x _let_5 tptp.v_Y _let_2))) (let ((_let_27 (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S _let_26 tptp.t_a))) (let ((_let_28 (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S _let_27 tptp.t_a) tptp.t_a) tptp.t_a) tptp.t_a) tptp.t_a))) (let ((_let_29 (tptp.c_in _let_28 _let_11 _let_3))) (let ((_let_30 (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S _let_28 tptp.t_a) tptp.v_x _let_3))) (let ((_let_31 (tptp.c_lessequals tptp.v_x _let_28 _let_3))) (let ((_let_32 (= _let_28 (tptp.c_Zorn_OTFin__linear__lemma1__1 tptp.v_S _let_28 tptp.t_a)))) (let ((_let_33 (not _let_32))) (let ((_let_34 (not _let_12))) (let ((_let_35 (not _let_29))) (let ((_let_36 (or _let_35 _let_34 _let_33 _let_31 _let_30))) (let ((_let_37 (ASSUME :args (_let_12)))) (let ((_let_38 (= _let_26 _let_27))) (let ((_let_39 (tptp.c_in _let_26 _let_11 _let_3))) (let ((_let_40 (tptp.c_in _let_26 tptp.v_Y _let_3))) (let ((_let_41 (not _let_40))) (let ((_let_42 (tptp.c_in _let_27 _let_11 _let_3))) (let ((_let_43 (not _let_42))) (let ((_let_44 (tptp.c_lessequals _let_27 _let_26 _let_3))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S _let_27 tptp.t_a) _let_26 _let_3))) (let ((_let_47 (or _let_46 _let_38 _let_45 _let_43 _let_41))) (let ((_let_48 (_let_1))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc tptp.v_S V_V tptp.t_a) V_U _let_3) true))))) (let ((_let_51 (tptp.c_Zorn_Osucc tptp.v_S _let_26 tptp.t_a))) (let ((_let_52 (tptp.c_lessequals _let_51 tptp.v_x _let_3))) (let ((_let_53 (tptp.c_lessequals tptp.v_x _let_26 _let_3))) (let ((_let_54 (not _let_46))) (let ((_let_55 (not _let_39))) (let ((_let_56 (or _let_55 _let_34 _let_54 _let_53 _let_52))) (let ((_let_57 (_let_17))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (tptp.c_Main_OsubsetI__1 _let_26 tptp.v_x _let_2))) (let ((_let_60 (tptp.c_in _let_59 tptp.v_x _let_2))) (let ((_let_61 (not _let_52))) (let ((_let_62 (tptp.c_in _let_59 _let_51 _let_2))) (let ((_let_63 (not _let_62))) (let ((_let_64 (or _let_63 _let_61 _let_60))) (let ((_let_65 (_let_24))) (let ((_let_66 (ASSUME :args _let_65))) (let ((_let_67 (not (= (tptp.c_in V_c V_A T_a) false)))) (let ((_let_68 (tptp.c_lessequals _let_26 _let_51 _let_3))) (let ((_let_69 (not _let_68))) (let ((_let_70 (tptp.c_in _let_59 _let_26 _let_2))) (let ((_let_71 (not _let_70))) (let ((_let_72 (or _let_71 _let_69 _let_62))) (let ((_let_73 (_let_67 (not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) false))))) (let ((_let_74 (_let_21))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (tptp.c_lessequals _let_26 tptp.v_x _let_3))) (let ((_let_77 (or _let_70 _let_76))) (let ((_let_78 (_let_23))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 (tptp.c_lessequals _let_4 tptp.v_x _let_3))) (let ((_let_81 (not _let_76))) (let ((_let_82 (or _let_81 _let_6 _let_80))) (let ((_let_83 (_let_15))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 (tptp.tc_set T_a))) (let ((_let_86 (tptp.c_Union V_C T_a))) (let ((_let_87 (not _let_80))) (let ((_let_88 (not _let_10))) (let ((_let_89 (or _let_88 _let_87 _let_8))) (let ((_let_90 (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_91 (EQ_RESOLVE (ASSUME :args (_let_25)) (MACRO_SR_EQ_INTRO :args (_let_25 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_92 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_89)) :args ((or _let_8 _let_88 _let_87 (not _let_89)))) (ASSUME :args (_let_9)) (ASSUME :args (_let_10)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_91 :args (tptp.v_x _let_4 _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)) false))))) :args (_let_90))) _let_91 :args (_let_89 false _let_90)) :args (_let_87 true _let_8 false _let_10 false _let_89)))) (let ((_let_93 (ASSUME :args (_let_7)))) (let ((_let_94 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_82)) :args ((or _let_6 _let_80 _let_81 (not _let_82)))) _let_93 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (tptp.v_x _let_5 tptp.v_Y _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B _let_86 _let_85) true)) (not (= (tptp.c_lessequals _let_86 V_A _let_85) true))))) :args _let_83)) _let_84 :args (_let_82 false _let_15)) :args (_let_81 true _let_6 true _let_80 false _let_82)))) (let ((_let_95 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_70 (not _let_77)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_26 tptp.v_x _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_78)) _let_79 :args (_let_77 false _let_23)) :args (_let_70 true _let_76 false _let_77)))) (let ((_let_96 (not _let_60))) (let ((_let_97 (or _let_96 _let_76))) (let ((_let_98 (_let_22))) (let ((_let_99 (ASSUME :args _let_98))) (let ((_let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_76 _let_96 (not _let_97)))) _let_94 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_99 :args (_let_26 tptp.v_x _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) :args _let_98)) _let_99 :args (_let_97 false _let_22)) :args (_let_96 true _let_76 false _let_97)))) (let ((_let_101 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_60 _let_61 _let_63 (not _let_64)))) _let_100 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_71 _let_69 _let_62 (not _let_72)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_26 tptp.v_S tptp.t_a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.c_Zorn_Osucc V_S V_x T_a)))) :args _let_74)) _let_75 :args (_let_68 false _let_21)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_59 _let_26 _let_2 _let_51 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_65)) _let_66 :args (_let_72 false _let_24)) :args (_let_62 false _let_70 false _let_68 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_59 _let_51 _let_2 tptp.v_x QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c V_B T_a) true)) _let_67))) :args _let_65)) _let_66 :args (_let_64 false _let_24)) :args (_let_61 true _let_60 false _let_62 false _let_64)))) (let ((_let_102 (not _let_53))) (let ((_let_103 (= tptp.v_x _let_26))) (let ((_let_104 (tptp.c_lessequals _let_5 _let_26 _let_3))) (let ((_let_105 (or _let_104 _let_103 _let_102 _let_34 _let_41))) (let ((_let_106 (not _let_103))) (let ((_let_107 (or))) (let ((_let_108 (ASSUME :args (_let_70)))) (let ((_let_109 (APPLY_UF tptp.c_in))) (let ((_let_110 (ASSUME :args (_let_103)))) (let ((_let_111 (ASSUME :args (_let_96)))) (let ((_let_112 (or _let_40 _let_6 _let_80))) (let ((_let_113 (_let_16))) (let ((_let_114 (ASSUME :args _let_113))) (let ((_let_115 (tptp.tc_set T_a))) (let ((_let_116 (tptp.c_Union V_C T_a))) (let ((_let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_6 _let_80 _let_40 (not _let_112)))) _let_93 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_114 :args (tptp.v_x _let_5 tptp.v_Y _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B _let_116 _let_115) true)) (not (= (tptp.c_lessequals _let_116 V_A _let_115) true))))) :args _let_113)) _let_114 :args (_let_112 false _let_16)) :args (_let_40 true _let_6 true _let_80 false _let_112)))) (let ((_let_118 (not _let_104))) (let ((_let_119 (or _let_118 _let_6 _let_80))) (let ((_let_120 (_let_14))) (let ((_let_121 (ASSUME :args _let_120))) (let ((_let_122 (tptp.tc_set T_a))) (let ((_let_123 (tptp.c_Union V_C T_a))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_34 _let_104 _let_41 _let_103 _let_102 (not _let_105)))) _let_37 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_6 _let_80 _let_118 (not _let_119)))) _let_93 _let_92 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_121 :args (_let_5 tptp.v_x tptp.v_Y _let_2 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_B _let_123 _let_122) true)) (not (= (tptp.c_lessequals _let_123 V_A _let_122) true))))) :args _let_120)) _let_121 :args (_let_119 false _let_14)) :args (_let_118 true _let_6 true _let_80 false _let_119)) _let_117 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_108 _let_110 _let_111) :args (_let_70 _let_96 _let_103)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_111)) (CONG (REFL :args (_let_59)) (SYMM (SYMM _let_110)) (REFL :args (_let_2)) :args _let_109) (TRUE_INTRO _let_108))) :args (_let_70 _let_103 _let_96)) :args ((not (and _let_70 _let_96 _let_103)) SB_LITERAL))) (CONG (REFL :args (_let_71)) (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_60))) (REFL :args (_let_106)) :args _let_107)) :args ((or _let_60 _let_71 _let_106))) _let_100 _let_95 :args (_let_106 true _let_60 false _let_70)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (tptp.v_x _let_26 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48)) _let_49 :args (_let_105 false _let_1)) :args (_let_102 false _let_12 true _let_104 false _let_40 true _let_103 false _let_105)))) (let ((_let_125 (not _let_13))) (let ((_let_126 (or _let_41 _let_125 _let_39))) (let ((_let_127 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_126)) :args ((or _let_125 _let_41 _let_39 (not _let_126)))) (ASSUME :args (_let_13)) _let_117 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_66 :args (_let_26 tptp.v_Y _let_3 _let_11 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_65)) _let_66 :args (_let_126 false _let_24)) :args (_let_39 false _let_13 false _let_40 false _let_126)))) (let ((_let_128 (or _let_55 _let_34 _let_53 _let_44 _let_52))) (let ((_let_129 (_let_19))) (let ((_let_130 (ASSUME :args _let_129))) (let ((_let_131 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_132 (or _let_55 _let_34 _let_42 _let_53 _let_52))) (let ((_let_133 (_let_20))) (let ((_let_134 (ASSUME :args _let_133))) (let ((_let_135 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_136 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_41 _let_43 _let_45 _let_38 _let_46 (not _let_47)))) _let_117 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_34 _let_55 _let_53 _let_42 _let_52 (not _let_132)))) _let_37 _let_127 _let_124 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_134 :args (_let_26 tptp.v_S tptp.t_a tptp.v_x QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_n (tptp.c_Zorn_OTFin V_S T_a) _let_135) false)) (not (= (tptp.c_lessequals V_n V_m _let_135) true))))) :args _let_133)) _let_134 :args (_let_132 false _let_20)) :args (_let_42 false _let_12 false _let_39 true _let_53 true _let_52 false _let_132)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_34 _let_55 _let_53 _let_52 _let_44 (not _let_128)))) _let_37 _let_127 _let_124 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_130 :args (_let_26 tptp.v_S tptp.t_a tptp.v_x QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals V_n V_m _let_131) true)) (not (= (tptp.c_in V_n (tptp.c_Zorn_OTFin V_S T_a) _let_131) false))))) :args _let_129)) _let_130 :args (_let_128 false _let_19)) :args (_let_44 false _let_12 false _let_39 true _let_53 true _let_52 false _let_128)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_34 _let_55 _let_53 _let_52 _let_54 (not _let_56)))) _let_37 _let_127 _let_124 _let_101 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (_let_26 tptp.v_S tptp.t_a tptp.v_x QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n (tptp.tc_set (tptp.tc_set T_a))) true))))) :args _let_57)) _let_58 :args (_let_56 false _let_17)) :args (_let_54 false _let_12 false _let_39 true _let_53 true _let_52 false _let_56)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_27 _let_26 QUANTIFIERS_INST_E_MATCHING _let_50)) :args _let_48))) _let_49 :args (_let_47 false _let_1)) :args (_let_38 false _let_40 false _let_42 false _let_44 true _let_46 false _let_47)))) (let ((_let_137 (and _let_39 _let_38))) (let ((_let_138 (_let_39 _let_38))) (let ((_let_139 (ASSUME :args (_let_39)))) (let ((_let_140 (REFL :args (_let_3)))) (let ((_let_141 (_let_38))) (let ((_let_142 (ASSUME :args _let_141))) (let ((_let_143 (SYMM _let_142))) (let ((_let_144 (SYMM _let_143))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (APPLY_UF tptp.c_Zorn_OTFin__linear__lemma1__1))) (let ((_let_147 (REFL :args (tptp.t_a)))) (let ((_let_148 (REFL :args (tptp.v_S)))) (let ((_let_149 (CONG _let_148 _let_145 _let_147 :args _let_146))) (let ((_let_150 (TRANS (CONG _let_148 (TRANS (TRANS (CONG _let_148 (TRANS (TRANS (CONG _let_148 (TRANS (TRANS (CONG _let_148 _let_149 _let_147 :args _let_146) _let_149 _let_145) _let_144) _let_147 :args _let_146) _let_149 _let_145) _let_144) _let_147 :args _let_146) _let_149 _let_145) _let_144) _let_147 :args _let_146) _let_149 _let_145))) (let ((_let_151 (forall ((V_m $$unsorted) (V_S $$unsorted) (T_a $$unsorted) (V_n $$unsorted)) (let ((_let_1 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_2 (tptp.c_Zorn_OTFin V_S T_a))) (or (not (tptp.c_in V_m _let_2 _let_1)) (not (tptp.c_in V_n _let_2 _let_1)) (not (= V_m (tptp.c_Zorn_OTFin__linear__lemma1__1 V_S V_m T_a))) (tptp.c_lessequals V_n V_m _let_1) (tptp.c_lessequals (tptp.c_Zorn_Osucc V_S V_m T_a) V_n _let_1))))))) (let ((_let_152 (EQ_RESOLVE (ASSUME :args (_let_18)) (MACRO_SR_EQ_INTRO :args (_let_18 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_153 (tptp.tc_set (tptp.tc_set T_a)))) (let ((_let_154 (tptp.c_Zorn_OTFin V_S T_a))) (let ((_let_155 (not _let_30))) (let ((_let_156 (REFL :args ((not _let_38))))) (let ((_let_157 (and _let_61 _let_38))) (let ((_let_158 (_let_61 _let_38))) (let ((_let_159 (ASSUME :args (_let_61)))) (let ((_let_160 (APPLY_UF tptp.c_lessequals))) (let ((_let_161 (REFL :args (tptp.v_x)))) (let ((_let_162 (APPLY_UF tptp.c_Zorn_Osucc))) (let ((_let_163 (TRANS _let_150 _let_144))) (let ((_let_164 (not _let_31))) (let ((_let_165 (and _let_102 _let_38))) (let ((_let_166 (_let_102 _let_38))) (let ((_let_167 (ASSUME :args (_let_102)))) (let ((_let_168 (CONG _let_148 _let_144 _let_147 :args _let_146))) (let ((_let_169 (CONG _let_148 (TRANS _let_143 (TRANS _let_144 _let_168 (CONG _let_148 (TRANS _let_143 (TRANS _let_144 _let_168 (CONG _let_148 (TRANS _let_143 (TRANS _let_144 _let_168 (CONG _let_148 _let_168 _let_147 :args _let_146))) _let_147 :args _let_146))) _let_147 :args _let_146))) _let_147 :args _let_146))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_34 _let_35 _let_33 _let_31 _let_30 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (MODUS_PONENS _let_142 (SCOPE (TRANS (SYMM _let_169) (CONG _let_148 (TRANS _let_143 (TRANS _let_144 _let_168 _let_169)) _let_147 :args _let_146)) :args _let_141)) :args _let_141)) _let_136 :args (_let_32 false _let_38)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_165)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_167 _let_142) (SCOPE (FALSE_ELIM (TRANS (CONG _let_161 _let_163 _let_140 :args _let_160) (CONG _let_161 _let_145 _let_140 :args _let_160) (FALSE_INTRO _let_167))) :args _let_166)) :args _let_166)) :args (true _let_165)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_53))) _let_156 (REFL :args (_let_164)) :args _let_107)) _let_124 _let_136 :args (_let_164 true _let_53 false _let_38)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_157)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_159 _let_142) (SCOPE (FALSE_ELIM (TRANS (CONG (CONG _let_148 _let_163 _let_147 :args _let_162) _let_161 _let_140 :args _let_160) (CONG (CONG _let_148 _let_145 _let_147 :args _let_162) _let_161 _let_140 :args _let_160) (FALSE_INTRO _let_159))) :args _let_158)) :args _let_158)) :args (true _let_157)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_61) _let_52))) _let_156 (REFL :args (_let_155)) :args _let_107)) _let_101 _let_136 :args (_let_155 true _let_52 false _let_38)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_152 :args (_let_28 tptp.v_S tptp.t_a tptp.v_x QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_n _let_154 _let_153) false)) (not (= (tptp.c_in V_m _let_154 _let_153) false))))) :args (_let_151))) _let_152 :args (_let_36 false _let_151)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_137)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_139 _let_142) (SCOPE (TRUE_ELIM (TRANS (CONG _let_150 (REFL :args (_let_11)) _let_140 :args _let_109) (TRUE_INTRO _let_139))) :args _let_138)) :args _let_138)) :args (true _let_137)) _let_127 _let_136 :args (_let_29 false _let_39 false _let_38)) _let_37 :args (false false _let_32 true _let_31 true _let_30 false _let_36 false _let_29 false _let_12)) :args (_let_25 _let_24 _let_23 _let_22 _let_21 _let_20 _let_19 _let_18 _let_17 _let_16 _let_15 _let_14 _let_13 _let_12 _let_10 _let_9 _let_7 _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.20/1.49  )
% 1.20/1.49  % SZS output end Proof for SET854-2
% 1.20/1.49  % cvc5---1.0.5 exiting
% 1.20/1.49  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------