%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET831-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n009.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 14:40:33 EDT 2023

% Result   : Unsatisfiable 0.47s 0.68s
% Output   : Proof 0.47s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem    : SET831-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.15  % Command    : do_cvc5 %s %d
% 0.16/0.36  % Computer : n009.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit   : 300
% 0.16/0.36  % WCLimit    : 300
% 0.16/0.36  % DateTime   : Sat Aug 26 14:58:05 EDT 2023
% 0.16/0.36  % CPUTime    : 
% 0.23/0.50  %----Proving TF0_NAR, FOF, or CNF
% 0.23/0.51  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.xWg0LvHPbD/cvc5---1.0.5_12749.p...
% 0.23/0.52  ------- get file name : TPTP file name is SET831-2
% 0.23/0.52  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12749.smt2...
% 0.23/0.52  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.47/0.68  % SZS status Unsatisfiable for SET831-2
% 0.47/0.68  % SZS output start Proof for SET831-2
% 0.47/0.69  (
% 0.47/0.69  (let ((_let_1 (forall ((V_B $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (let ((_let_1 (tptp.tc_set T_a))) (or (not (tptp.c_lessequals V_B V_A _let_1)) (not (tptp.c_lessequals V_A V_B _let_1)) (= V_A V_B)))))) (let ((_let_2 (forall ((V_A $$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_3 (forall ((V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (tptp.c_in (tptp.c_Main_OsubsetI__1 V_A V_B T_a) V_A T_a) (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)))))) (let ((_let_4 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted) (V_B $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_lessequals V_A V_B (tptp.tc_set T_a))) (tptp.c_in V_c V_B T_a))))) (let ((_let_5 (forall ((V_c $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_A $$unsorted)) (or (not (tptp.c_in V_c V_B T_a)) (not (tptp.c_in V_c V_A T_a)) (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a))))) (let ((_let_6 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a)) (tptp.c_in V_c V_A T_a))))) (let ((_let_7 (forall ((V_c $$unsorted) (V_A $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a)) (tptp.c_in V_c V_B T_a))))) (let ((_let_8 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (= tptp.v_X (tptp.c_inter tptp.v_Y tptp.v_Z tptp.t_a)) (tptp.c_lessequals V_U tptp.v_X _let_1) (not (tptp.c_lessequals V_U tptp.v_Z _let_1)) (not (tptp.c_lessequals V_U tptp.v_Y _let_1))))))) (let ((_let_9 (tptp.c_inter tptp.v_Y tptp.v_Z tptp.t_a))) (let ((_let_10 (= tptp.v_X _let_9))) (let ((_let_11 (not _let_10))) (let ((_let_12 (tptp.tc_set tptp.t_a))) (let ((_let_13 (tptp.c_lessequals tptp.v_X tptp.v_Y _let_12))) (let ((_let_14 (not _let_13))) (let ((_let_15 (tptp.c_lessequals tptp.v_X tptp.v_Z _let_12))) (let ((_let_16 (not _let_15))) (let ((_let_17 (tptp.c_lessequals tptp.v_x tptp.v_X _let_12))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_16 _let_14 _let_11))) (let ((_let_20 (tptp.c_lessequals tptp.v_x tptp.v_Z _let_12))) (let ((_let_21 (or _let_20 _let_16 _let_14 _let_11))) (let ((_let_22 (tptp.c_lessequals tptp.v_x tptp.v_Y _let_12))) (let ((_let_23 (or _let_22 _let_16 _let_14 _let_11))) (let ((_let_24 (or _let_10 _let_15))) (let ((_let_25 (or _let_10 _let_13))) (let ((_let_26 (tptp.c_inter tptp.v_Y tptp.v_Y tptp.t_a))) (let ((_let_27 (= tptp.v_Y _let_26))) (let ((_let_28 (tptp.c_lessequals _let_9 tptp.v_Y _let_12))) (let ((_let_29 (tptp.c_lessequals tptp.v_Y _let_26 _let_12))) (let ((_let_30 (not _let_29))) (let ((_let_31 (tptp.c_lessequals _let_26 tptp.v_Y _let_12))) (let ((_let_32 (not _let_31))) (let ((_let_33 (or _let_32 _let_30 _let_27))) (let ((_let_34 (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_35 (EQ_RESOLVE (ASSUME :args (_let_1)) (MACRO_SR_EQ_INTRO :args (_let_1 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_36 (_let_34))) (let ((_let_37 ((not (= (tptp.c_lessequals V_B V_A (tptp.tc_set T_a)) false))))) (let ((_let_38 (tptp.c_Main_OsubsetI__1 tptp.v_Y _let_26 tptp.t_a))) (let ((_let_39 (tptp.c_in _let_38 tptp.v_Y tptp.t_a))) (let ((_let_40 (or _let_39 _let_29))) (let ((_let_41 (tptp.c_in _let_38 _let_26 tptp.t_a))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_29))) (let ((_let_44 (not _let_39))) (let ((_let_45 (or _let_44 _let_44 _let_41))) (let ((_let_46 (_let_3))) (let ((_let_47 (ASSUME :args _let_46))) (let ((_let_48 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_49 (_let_2))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 ((not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) true))))) (let ((_let_52 (_let_5))) (let ((_let_53 (ASSUME :args _let_52))) (let ((_let_54 ((not (= (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a) true))))) (let ((_let_55 (tptp.c_Main_OsubsetI__1 _let_26 tptp.v_Y tptp.t_a))) (let ((_let_56 (tptp.c_in _let_55 _let_26 tptp.t_a))) (let ((_let_57 (or _let_56 _let_31))) (let ((_let_58 (tptp.c_in _let_55 tptp.v_Y tptp.t_a))) (let ((_let_59 (not _let_58))) (let ((_let_60 (or _let_59 _let_31))) (let ((_let_61 (not _let_56))) (let ((_let_62 (or _let_61 _let_58))) (let ((_let_63 (_let_7))) (let ((_let_64 (ASSUME :args _let_63))) (let ((_let_65 ((not (= (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a) false))))) (let ((_let_66 (tptp.c_Main_OsubsetI__1 _let_9 tptp.v_Y tptp.t_a))) (let ((_let_67 (tptp.c_in _let_66 _let_9 tptp.t_a))) (let ((_let_68 (or _let_67 _let_28))) (let ((_let_69 (tptp.c_in _let_66 tptp.v_Y tptp.t_a))) (let ((_let_70 (not _let_69))) (let ((_let_71 (or _let_70 _let_28))) (let ((_let_72 (not _let_67))) (let ((_let_73 (or _let_72 _let_69))) (let ((_let_74 (_let_6))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_73)) :args ((or _let_69 _let_72 (not _let_73)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (_let_66 tptp.v_Y tptp.v_Z tptp.t_a QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.c_in V_c (tptp.c_inter V_A V_B T_a) T_a) false))))) :args _let_74)) _let_75 :args (_let_73 false _let_6)) (REORDERING (CNF_OR_POS :args (_let_71)) :args ((or _let_28 _let_70 (not _let_71)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_9 tptp.v_Y tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_71 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_28 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_9 tptp.v_Y tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_68 false _let_3)) :args (_let_28 false _let_73 true _let_69 false _let_71 false _let_67 false _let_68)))) (let ((_let_77 (tptp.c_lessequals tptp.v_X _let_9 _let_12))) (let ((_let_78 (tptp.c_Main_OsubsetI__1 tptp.v_X _let_9 tptp.t_a))) (let ((_let_79 (tptp.c_in _let_78 tptp.v_X tptp.t_a))) (let ((_let_80 (or _let_79 _let_77))) (let ((_let_81 (tptp.c_in _let_78 _let_9 tptp.t_a))) (let ((_let_82 (not _let_81))) (let ((_let_83 (or _let_82 _let_77))) (let ((_let_84 (tptp.c_lessequals _let_9 tptp.v_Z _let_12))) (let ((_let_85 (not _let_22))) (let ((_let_86 (not _let_20))) (let ((_let_87 (or _let_17 _let_86 _let_85))) (let ((_let_88 (forall ((V_U $$unsorted)) (let ((_let_1 (tptp.tc_set tptp.t_a))) (or (tptp.c_lessequals V_U tptp.v_X _let_1) (not (tptp.c_lessequals V_U tptp.v_Z _let_1)) (not (tptp.c_lessequals V_U tptp.v_Y _let_1))))))) (let ((_let_89 (tptp.c_lessequals SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.v_Y _let_12))) (let ((_let_90 (not _let_89))) (let ((_let_91 (tptp.c_lessequals SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.v_Z _let_12))) (let ((_let_92 (not _let_91))) (let ((_let_93 (tptp.c_lessequals SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.v_X _let_12))) (let ((_let_94 (or _let_93 _let_92 _let_90))) (let ((_let_95 (tptp.c_Main_OsubsetI__1 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.v_X tptp.t_a))) (let ((_let_96 (tptp.c_in _let_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.t_a))) (let ((_let_97 (or _let_96 _let_93))) (let ((_let_98 (tptp.c_in _let_95 tptp.v_X tptp.t_a))) (let ((_let_99 (not _let_98))) (let ((_let_100 (or _let_99 _let_93))) (let ((_let_101 (tptp.c_in _let_95 tptp.v_Y tptp.t_a))) (let ((_let_102 (not _let_96))) (let ((_let_103 (or _let_102 _let_90 _let_101))) (let ((_let_104 (tptp.c_in _let_95 tptp.v_Z tptp.t_a))) (let ((_let_105 (or _let_102 _let_92 _let_104))) (let ((_let_106 (tptp.c_in _let_95 _let_9 tptp.t_a))) (let ((_let_107 (not _let_101))) (let ((_let_108 (not _let_104))) (let ((_let_109 (or _let_108 _let_107 _let_106))) (let ((_let_110 (tptp.c_Main_OsubsetI__1 tptp.v_X tptp.v_Z tptp.t_a))) (let ((_let_111 (tptp.c_in _let_110 tptp.v_X tptp.t_a))) (let ((_let_112 (or _let_111 _let_15))) (let ((_let_113 (tptp.c_in _let_110 tptp.v_Z tptp.t_a))) (let ((_let_114 (not _let_113))) (let ((_let_115 (or _let_114 _let_15))) (let ((_let_116 (tptp.c_in _let_110 _let_9 tptp.t_a))) (let ((_let_117 (not _let_116))) (let ((_let_118 (or _let_117 _let_113))) (let ((_let_119 (tptp.v_X tptp.v_Z tptp.t_a QUANTIFIERS_INST_ENUM))) (let ((_let_120 (and _let_10 _let_111))) (let ((_let_121 (ASSUME :args (_let_111)))) (let ((_let_122 (APPLY_UF tptp.c_in))) (let ((_let_123 (REFL :args (tptp.t_a)))) (let ((_let_124 (ASSUME :args (_let_10)))) (let ((_let_125 (SYMM _let_124))) (let ((_let_126 (tptp.c_Main_OsubsetI__1 _let_9 tptp.v_Z tptp.t_a))) (let ((_let_127 (tptp.c_in _let_126 _let_9 tptp.t_a))) (let ((_let_128 (or _let_127 _let_84))) (let ((_let_129 (tptp.c_in _let_126 tptp.v_Z tptp.t_a))) (let ((_let_130 (not _let_129))) (let ((_let_131 (or _let_130 _let_84))) (let ((_let_132 (not _let_127))) (let ((_let_133 (or _let_132 _let_129))) (let ((_let_134 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_133)) :args ((or _let_129 _let_132 (not _let_133)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_126 tptp.v_Y tptp.v_Z tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_65)) :args _let_63)) _let_64 :args (_let_133 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_131)) :args ((or _let_84 _let_130 (not _let_131)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_9 tptp.v_Z tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_131 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_84 _let_127 (not _let_128)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_9 tptp.v_Z tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_128 false _let_3)) :args (_let_84 false _let_133 true _let_129 false _let_131 false _let_127 false _let_128)))) (let ((_let_135 (not _let_84))) (let ((_let_136 (and _let_10 _let_84))) (let ((_let_137 (ASSUME :args (_let_84)))) (let ((_let_138 (APPLY_UF tptp.c_lessequals))) (let ((_let_139 (REFL :args (_let_12)))) (let ((_let_140 (_let_88))) (let ((_let_141 (ASSUME :args _let_140))) (let ((_let_142 (or))) (let ((_let_143 (not _let_88))) (let ((_let_144 (_let_143))) (let ((_let_145 (REFL :args (_let_94)))) (let ((_let_146 (_let_4))) (let ((_let_147 (ASSUME :args _let_146))) (let ((_let_148 (not (= (tptp.c_in V_c V_A T_a) false)))) (let ((_let_149 (_let_148 (not (= (tptp.c_lessequals V_A V_B (tptp.tc_set T_a)) false))))) (let ((_let_150 (REFL :args (_let_11)))) (let ((_let_151 (and _let_10 _let_99))) (let ((_let_152 (ASSUME :args (_let_99)))) (let ((_let_153 (not _let_77))) (let ((_let_154 (tptp.c_lessequals _let_9 tptp.v_X _let_12))) (let ((_let_155 (not _let_154))) (let ((_let_156 (or _let_155 _let_153 _let_10))) (let ((_let_157 (not _let_28))) (let ((_let_158 (or _let_154 _let_135 _let_157))) (let ((_let_159 (tptp.c_in _let_78 tptp.v_Y tptp.t_a))) (let ((_let_160 (not _let_79))) (let ((_let_161 (or _let_160 _let_14 _let_159))) (let ((_let_162 (tptp.c_in _let_78 tptp.v_Z tptp.t_a))) (let ((_let_163 (or _let_160 _let_16 _let_162))) (let ((_let_164 (not _let_159))) (let ((_let_165 (not _let_162))) (let ((_let_166 (or _let_165 _let_164 _let_81))) (let ((_let_167 (_let_148 (not (= (tptp.c_in V_c V_B T_a) true))))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_166)) :args ((or _let_81 _let_165 _let_164 (not _let_166)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_78 tptp.v_Z tptp.t_a tptp.v_Y QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_52)) _let_53 :args (_let_166 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_163)) :args ((or _let_16 _let_160 _let_162 (not _let_163)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_78 tptp.v_X tptp.t_a tptp.v_Z QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_146)) _let_147 :args (_let_163 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_161)) :args ((or _let_14 _let_160 _let_159 (not _let_161)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_78 tptp.v_X tptp.t_a tptp.v_Y QUANTIFIERS_INST_E_MATCHING _let_167)) :args _let_146)) _let_147 :args (_let_161 false _let_4)) :args ((or _let_16 _let_14 _let_81 _let_160) false _let_166 false _let_162 false _let_163 false _let_159 false _let_161)) (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_77 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.v_X _let_9 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_83 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_80)) :args ((or _let_77 _let_79 (not _let_80)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.v_X _let_9 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_80 false _let_3)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_158)) :args ((or _let_157 _let_154 _let_135 (not _let_158)))) _let_76 _let_134 (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (_let_9 QUANTIFIERS_INST_ENUM)) :args _let_140)) (REORDERING (CNF_OR_POS :args (_let_156)) :args ((or _let_10 _let_155 _let_153 (not _let_156)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_9 tptp.v_X tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36))) _let_35 :args (_let_156 false _let_34)) (EQ_RESOLVE (ASSUME :args (_let_8)) (MACRO_SR_EQ_INTRO :args (_let_8 SB_DEFAULT SBA_FIXPOINT))) :args ((or _let_10 _let_153) false _let_28 false _let_84 false _let_158 true _let_154 false _let_156 false _let_88)) (ASSUME :args (_let_24)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_151)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_152 _let_124) (SCOPE (FALSE_ELIM (TRANS (CONG (REFL :args (_let_95)) _let_125 _let_123 :args _let_122) (FALSE_INTRO _let_152))) :args (_let_99 _let_10))) :args (_let_10 _let_99))) :args (true _let_151)) (CONG _let_150 (MACRO_SR_PRED_INTRO :args ((= (not _let_99) _let_98))) (REFL :args ((not _let_106))) :args _let_142)) (REORDERING (CNF_OR_POS :args (_let_109)) :args ((or _let_107 _let_108 _let_106 (not _let_109)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_95 tptp.v_Z tptp.t_a tptp.v_Y QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_52)) _let_53 :args (_let_109 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_92 _let_102 _let_104 (not _let_105)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.t_a tptp.v_Z QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_146)) _let_147 :args (_let_105 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_90 _let_102 _let_101 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_147 :args (_let_95 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.t_a tptp.v_Y QUANTIFIERS_INST_E_MATCHING _let_149)) :args _let_146)) _let_147 :args (_let_103 false _let_4)) (REORDERING (CNF_OR_POS :args (_let_100)) :args ((or _let_93 _let_99 (not _let_100)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.v_X tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_100 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_93 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_13 tptp.v_X tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_97 false _let_3)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_94 2)) (CONG _let_145 (MACRO_SR_PRED_INTRO :args ((= (not _let_90) _let_89))) :args _let_142)) :args ((or _let_89 _let_94))) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_94 1)) (CONG _let_145 (MACRO_SR_PRED_INTRO :args ((= (not _let_92) _let_91))) :args _let_142)) :args ((or _let_91 _let_94))) (CNF_OR_NEG :args (_let_94 0)) (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_144)) :args _let_144)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_143) _let_88))) (REFL :args ((not _let_94))) :args _let_142)) (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_141 :args (tptp.v_x QUANTIFIERS_INST_ENUM)) :args _let_140)) (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_17 _let_85 _let_86 (not _let_87)))) (REORDERING (ASSUME :args (_let_19)) :args ((or _let_16 _let_14 _let_11 _let_18))) (REORDERING (ASSUME :args (_let_21)) :args ((or _let_16 _let_14 _let_11 _let_20))) (REORDERING (RESOLUTION (CNF_AND_NEG :args (_let_136)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_137 _let_124) (SCOPE (TRUE_ELIM (TRANS (CONG (SYMM _let_125) (REFL :args (tptp.v_Z)) _let_139 :args _let_138) (TRUE_INTRO _let_137))) :args (_let_84 _let_10))) :args (_let_10 _let_84))) :args (true _let_136)) :args ((or _let_15 _let_11 _let_135))) _let_134 (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_120)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_121 _let_124) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_110)) _let_125 _let_123 :args _let_122) (TRUE_INTRO _let_121))) :args (_let_111 _let_10))) :args (_let_10 _let_111))) :args (true _let_120)) (REORDERING (CNF_OR_POS :args (_let_118)) :args ((or _let_113 _let_117 (not _let_118)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_110 tptp.v_Y tptp.v_Z tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_65)) :args _let_63)) _let_64 :args (_let_118 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_115)) :args ((or _let_15 _let_114 (not _let_115)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args _let_119) :args _let_49)) _let_50 :args (_let_115 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_15 _let_111 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args _let_119) :args _let_46)) _let_47 :args (_let_112 false _let_3)) (ASSUME :args (_let_23)) :args ((or _let_22 _let_14 _let_11) true _let_116 false _let_118 true _let_113 false _let_115 false _let_111 false _let_112 true _let_15)) :args ((or _let_14 _let_11) false _let_106 false _let_109 false _let_104 false _let_105 false _let_101 false _let_103 true _let_98 false _let_100 false _let_96 false _let_97 false _let_89 false _let_91 true _let_93 true _let_94 true _let_88 true _let_87 true _let_17 false _let_20 false _let_15 false _let_84 false _let_22)) :args (_let_14 true _let_81 false _let_83 false _let_79 false _let_80 true _let_77 false _let_15 true _let_10)))) (let ((_let_169 (not _let_27))) (let ((_let_170 (ASSUME :args (_let_14)))) (let ((_let_171 (ASSUME :args (_let_27)))) (let ((_let_172 (ASSUME :args (_let_28)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_170 _let_171 _let_124 _let_172) :args (_let_10 _let_14 _let_27 _let_28)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_172)) (CONG _let_125 _let_171 _let_139 :args _let_138) (CONG (REFL :args (tptp.v_X)) (SYMM _let_171) _let_139 :args _let_138) (FALSE_INTRO _let_170))) :args (_let_14 _let_27 _let_10 _let_28)) :args ((not (and _let_10 _let_14 _let_27 _let_28)) SB_LITERAL))) (CONG _let_150 (MACRO_SR_PRED_INTRO :args ((= (not _let_14) _let_13))) (REFL :args (_let_169)) (REFL :args (_let_157)) :args _let_142)) :args ((or _let_13 _let_11 _let_169 _let_157))) (MACRO_RESOLUTION_TRUST (ASSUME :args (_let_25)) _let_168 :args (_let_10 true _let_13)) _let_168 _let_76 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_32 _let_30 _let_27 (not _let_33)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_58 _let_61 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (_let_55 tptp.v_Y tptp.v_Y tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_65)) :args _let_63)) _let_64 :args (_let_62 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_31 _let_59 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (_let_26 tptp.v_Y tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_60 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_31 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (_let_26 tptp.v_Y tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_57 false _let_3)) :args (_let_31 false _let_62 true _let_58 false _let_60 false _let_56 false _let_57)) (MACRO_RESOLUTION_TRUST (REORDERING (FACTORING (CNF_OR_POS :args (_let_45))) :args ((or _let_41 _let_44 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_53 :args (_let_38 tptp.v_Y tptp.t_a tptp.v_Y QUANTIFIERS_INST_E_MATCHING _let_54)) :args _let_52)) _let_53 :args (_let_45 false _let_5)) (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_29 _let_42 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.v_Y _let_26 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_51)) :args _let_49)) _let_50 :args (_let_43 false _let_2)) (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_29 _let_39 (not _let_40)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_47 :args (tptp.v_Y _let_26 tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_48)) :args _let_46)) _let_47 :args (_let_40 false _let_3)) :args (_let_29 false _let_45 true _let_41 false _let_43 false _let_39 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_35 :args (_let_26 tptp.v_Y tptp.t_a QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_36))) _let_35 :args (_let_33 false _let_34)) :args (_let_27 false _let_31 false _let_29 false _let_33)) :args (false false _let_10 true _let_13 false _let_28 false _let_27)) :args (_let_25 _let_24 _let_23 _let_21 _let_19 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.47/0.69  )
% 0.47/0.69  % SZS output end Proof for SET831-2
% 0.47/0.69  % cvc5---1.0.5 exiting
% 0.47/0.69  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------