%------------------------------------------------------------------------------
% File     : cvc5---1.0.5
% Problem  : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : do_cvc5 %s %d

% Computer : n021.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 14:40:28 EDT 2023

% Result   : Unsatisfiable 0.75s 0.91s
% Output   : Proof 0.75s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SET821-2 : TPTP v8.1.2. Released v3.2.0.
% 0.11/0.14  % Command    : do_cvc5 %s %d
% 0.15/0.35  % Computer : n021.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sat Aug 26 14:58:27 EDT 2023
% 0.15/0.35  % CPUTime    : 
% 0.22/0.49  %----Proving TF0_NAR, FOF, or CNF
% 0.22/0.49  ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.jrNljj4gha/cvc5---1.0.5_19823.p...
% 0.22/0.50  ------- get file name : TPTP file name is SET821-2
% 0.22/0.50  ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_19823.smt2...
% 0.22/0.50  --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.75/0.91  % SZS status Unsatisfiable for SET821-2
% 0.75/0.91  % SZS output start Proof for SET821-2
% 0.75/0.92  (
% 0.75/0.92  (let ((_let_1 (tptp.class_Orderings_Oorder tptp.tc_IntDef_Oint))) (let ((_let_2 (forall ((V_U $$unsorted)) (or (tptp.c_in tptp.v_c V_U tptp.tc_IntDef_Oint) (not (tptp.c_in tptp.v_b V_U tptp.tc_IntDef_Oint)) (tptp.c_in tptp.v_a V_U tptp.tc_IntDef_Oint))))) (let ((_let_3 (tptp.c_less tptp.v_b tptp.v_c tptp.tc_IntDef_Oint))) (let ((_let_4 (tptp.c_less tptp.v_a tptp.v_b tptp.tc_IntDef_Oint))) (let ((_let_5 (forall ((V_a $$unsorted) (V_b $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a)) (tptp.c_in V_a V_A T_a) (= V_a V_b))))) (let ((_let_6 (forall ((V_x $$unsorted) (V_B $$unsorted) (T_a $$unsorted)) (tptp.c_in V_x (tptp.c_insert V_x V_B T_a) T_a)))) (let ((_let_7 (forall ((V_a $$unsorted) (V_B $$unsorted) (T_a $$unsorted) (V_b $$unsorted)) (or (not (tptp.c_in V_a V_B T_a)) (tptp.c_in V_a (tptp.c_insert V_b V_B T_a) T_a))))) (let ((_let_8 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (tptp.c_in V_c V_A T_a) (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a))))) (let ((_let_9 (forall ((V_c $$unsorted) (V_A $$unsorted) (T_a $$unsorted)) (or (not (tptp.c_in V_c V_A T_a)) (not (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a)))))) (let ((_let_10 (forall ((T_a $$unsorted) (V_x $$unsorted)) (or (not (tptp.class_Orderings_Oorder T_a)) (not (tptp.c_less V_x V_x T_a)))))) (let ((_let_11 (= tptp.v_a tptp.v_b))) (let ((_let_12 (tptp.tc_set tptp.tc_IntDef_Oint))) (let ((_let_13 (tptp.c_insert tptp.v_a tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) (let ((_let_14 (tptp.c_uminus _let_13 _let_12))) (let ((_let_15 (tptp.c_in tptp.v_a _let_14 tptp.tc_IntDef_Oint))) (let ((_let_16 (tptp.c_insert tptp.v_b _let_14 tptp.tc_IntDef_Oint))) (let ((_let_17 (tptp.c_in tptp.v_a _let_16 tptp.tc_IntDef_Oint))) (let ((_let_18 (not _let_17))) (let ((_let_19 (or _let_18 _let_15 _let_11))) (let ((_let_20 (_let_5))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_19))) (let ((_let_23 (tptp.c_in tptp.v_b _let_16 tptp.tc_IntDef_Oint))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.c_in tptp.v_c _let_16 tptp.tc_IntDef_Oint))) (let ((_let_26 (or _let_25 _let_24 _let_17))) (let ((_let_27 (_let_2))) (let ((_let_28 (ASSUME :args _let_27))) (let ((_let_29 (= tptp.v_b tptp.v_c))) (let ((_let_30 (tptp.c_in tptp.v_c _let_14 tptp.tc_IntDef_Oint))) (let ((_let_31 (not _let_25))) (let ((_let_32 (or _let_31 _let_30 _let_29))) (let ((_let_33 ((not (= (tptp.c_in V_a (tptp.c_insert V_b V_A T_a) T_a) false))))) (let ((_let_34 (not _let_30))) (let ((_let_35 (tptp.c_in tptp.v_c _let_13 tptp.tc_IntDef_Oint))) (let ((_let_36 (not _let_35))) (let ((_let_37 (or _let_36 _let_34))) (let ((_let_38 (_let_9))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 ((not (= (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a) false))))) (let ((_let_41 (tptp.c_in tptp.v_c tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_42 _let_35))) (let ((_let_44 (_let_7))) (let ((_let_45 (ASSUME :args _let_44))) (let ((_let_46 ((not (= (tptp.c_in V_a (tptp.c_insert V_b V_B T_a) T_a) true))))) (let ((_let_47 (tptp.c_insert tptp.v_b tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) (let ((_let_48 (tptp.c_in tptp.v_c _let_47 tptp.tc_IntDef_Oint))) (let ((_let_49 (not _let_48))) (let ((_let_50 (or _let_49 _let_41 _let_29))) (let ((_let_51 (tptp.c_less tptp.v_b tptp.v_b tptp.tc_IntDef_Oint))) (let ((_let_52 (not _let_29))) (let ((_let_53 (ASSUME :args (_let_3)))) (let ((_let_54 (not _let_51))) (let ((_let_55 (not _let_1))) (let ((_let_56 (or _let_55 _let_54))) (let ((_let_57 (_let_10))) (let ((_let_58 (ASSUME :args _let_57))) (let ((_let_59 (ASSUME :args (_let_1)))) (let ((_let_60 (or))) (let ((_let_61 (APPLY_UF tptp.c_less))) (let ((_let_62 (REFL :args (tptp.tc_IntDef_Oint)))) (let ((_let_63 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_54)))) (CONG (REFL :args (tptp.v_b)) (SYMM (SYMM (ASSUME :args (_let_29)))) _let_62 :args _let_61) (TRUE_INTRO _let_53))) :args (_let_3 _let_29 _let_54))) (CONG (REFL :args ((not _let_3))) (REFL :args (_let_52)) (MACRO_SR_PRED_INTRO :args ((= (not _let_54) _let_51))) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_56)) :args ((or _let_55 _let_54 (not _let_56)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.tc_IntDef_Oint tptp.v_b QUANTIFIERS_INST_ENUM)) :args _let_57)) _let_58 :args (_let_56 false _let_10)) :args (_let_54 false _let_1 false _let_56)) _let_53 :args (_let_52 true _let_51 false _let_3)))) (let ((_let_64 (tptp.c_in tptp.v_a _let_47 tptp.tc_IntDef_Oint))) (let ((_let_65 (tptp.c_in tptp.v_b _let_47 tptp.tc_IntDef_Oint))) (let ((_let_66 (not _let_65))) (let ((_let_67 (or _let_48 _let_66 _let_64))) (let ((_let_68 ((not (= (tptp.c_in tptp.v_a V_U tptp.tc_IntDef_Oint) true))))) (let ((_let_69 (_let_6))) (let ((_let_70 (ASSUME :args _let_69))) (let ((_let_71 ((tptp.c_insert V_x V_B T_a)))) (let ((_let_72 (tptp.c_in tptp.v_a tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) (let ((_let_73 (not _let_64))) (let ((_let_74 (or _let_73 _let_72 _let_11))) (let ((_let_75 (tptp.c_less tptp.v_a tptp.v_a tptp.tc_IntDef_Oint))) (let ((_let_76 (not _let_11))) (let ((_let_77 (ASSUME :args (_let_4)))) (let ((_let_78 (not _let_75))) (let ((_let_79 (or _let_55 _let_78))) (let ((_let_80 (ASSUME :args (_let_11)))) (let ((_let_81 (ASSUME :args (_let_78)))) (let ((_let_82 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_77 _let_80 _let_81) :args (_let_4 _let_78 _let_11)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_81)) (CONG (REFL :args (tptp.v_a)) (SYMM (SYMM _let_80)) _let_62 :args _let_61) (TRUE_INTRO _let_77))) :args (_let_4 _let_11 _let_78)) :args ((not (and _let_4 _let_78 _let_11)) SB_LITERAL))) (CONG (REFL :args ((not _let_4))) (MACRO_SR_PRED_INTRO :args ((= (not _let_78) _let_75))) (REFL :args (_let_76)) :args _let_60)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_55 _let_78 (not _let_79)))) _let_59 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_58 :args (tptp.tc_IntDef_Oint tptp.v_a QUANTIFIERS_INST_ENUM)) :args _let_57)) _let_58 :args (_let_79 false _let_10)) :args (_let_78 false _let_1 false _let_79)) _let_77 :args (_let_76 true _let_75 false _let_4)))) (let ((_let_83 (tptp.c_uminus tptp.tc_IntDef_Oint _let_12))) (let ((_let_84 (tptp.c_in tptp.v_a _let_83 tptp.tc_IntDef_Oint))) (let ((_let_85 (not _let_84))) (let ((_let_86 (not _let_72))) (let ((_let_87 (or _let_86 _let_85))) (let ((_let_88 (tptp.c_insert tptp.v_c tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) (let ((_let_89 (tptp.c_in tptp.v_a _let_88 tptp.tc_IntDef_Oint))) (let ((_let_90 (or _let_86 _let_89))) (let ((_let_91 (tptp.c_insert tptp.v_b _let_83 tptp.tc_IntDef_Oint))) (let ((_let_92 (tptp.c_in tptp.v_a _let_91 tptp.tc_IntDef_Oint))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_84 _let_11))) (let ((_let_95 (tptp.c_uminus _let_88 _let_12))) (let ((_let_96 (tptp.c_in tptp.v_a _let_95 tptp.tc_IntDef_Oint))) (let ((_let_97 (not _let_96))) (let ((_let_98 (not _let_89))) (let ((_let_99 (or _let_98 _let_97))) (let ((_let_100 (tptp.c_in tptp.v_b _let_91 tptp.tc_IntDef_Oint))) (let ((_let_101 (not _let_100))) (let ((_let_102 (tptp.c_in tptp.v_c _let_91 tptp.tc_IntDef_Oint))) (let ((_let_103 (or _let_102 _let_101 _let_92))) (let ((_let_104 (tptp.c_in tptp.v_c _let_95 tptp.tc_IntDef_Oint))) (let ((_let_105 (tptp.c_in tptp.v_b _let_95 tptp.tc_IntDef_Oint))) (let ((_let_106 (not _let_105))) (let ((_let_107 (or _let_104 _let_106 _let_96))) (let ((_let_108 (tptp.c_in tptp.v_c _let_83 tptp.tc_IntDef_Oint))) (let ((_let_109 (not _let_102))) (let ((_let_110 (or _let_109 _let_108 _let_29))) (let ((_let_111 (tptp.c_in tptp.v_b _let_88 tptp.tc_IntDef_Oint))) (let ((_let_112 (or _let_111 _let_105))) (let ((_let_113 (tptp.c_insert tptp.v_a _let_83 tptp.tc_IntDef_Oint))) (let ((_let_114 (tptp.c_in tptp.v_c _let_113 tptp.tc_IntDef_Oint))) (let ((_let_115 (not _let_108))) (let ((_let_116 (or _let_115 _let_114))) (let ((_let_117 (tptp.c_in tptp.v_b tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint))) (let ((_let_118 (not _let_111))) (let ((_let_119 (or _let_118 _let_117 _let_29))) (let ((_let_120 (tptp.c_uminus _let_113 _let_12))) (let ((_let_121 (tptp.c_in tptp.v_c _let_120 tptp.tc_IntDef_Oint))) (let ((_let_122 (not _let_121))) (let ((_let_123 (not _let_114))) (let ((_let_124 (or _let_123 _let_122))) (let ((_let_125 (tptp.c_in tptp.v_b _let_83 tptp.tc_IntDef_Oint))) (let ((_let_126 (not _let_125))) (let ((_let_127 (not _let_117))) (let ((_let_128 (or _let_127 _let_126))) (let ((_let_129 (tptp.c_in tptp.v_a _let_120 tptp.tc_IntDef_Oint))) (let ((_let_130 (tptp.c_in tptp.v_b _let_120 tptp.tc_IntDef_Oint))) (let ((_let_131 (not _let_130))) (let ((_let_132 (or _let_121 _let_131 _let_129))) (let ((_let_133 (tptp.c_in tptp.v_b _let_113 tptp.tc_IntDef_Oint))) (let ((_let_134 (not _let_133))) (let ((_let_135 (or _let_134 _let_125 _let_11))) (let ((_let_136 (or _let_133 _let_130))) (let ((_let_137 (tptp.v_a tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM))) (let ((_let_138 (not _let_104))) (let ((_let_139 (tptp.c_in tptp.v_c _let_88 tptp.tc_IntDef_Oint))) (let ((_let_140 (not _let_139))) (let ((_let_141 (or _let_140 _let_138))) (let ((_let_142 (_let_8))) (let ((_let_143 (ASSUME :args _let_142))) (let ((_let_144 ((not (= (tptp.c_in V_c (tptp.c_uminus V_A (tptp.tc_set T_a)) T_a) true))))) (let ((_let_145 (not _let_129))) (let ((_let_146 (tptp.c_in tptp.v_a _let_113 tptp.tc_IntDef_Oint))) (let ((_let_147 (not _let_146))) (let ((_let_148 (or _let_147 _let_145))) (let ((_let_149 (not _let_15))) (let ((_let_150 (tptp.c_in tptp.v_a _let_13 tptp.tc_IntDef_Oint))) (let ((_let_151 (not _let_150))) (let ((_let_152 (or _let_151 _let_149))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.v_a tptp.v_b _let_14 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_11 _let_15 _let_18 _let_22))) _let_82 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_152)) :args ((or _let_151 _let_149 (not _let_152)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args _let_137) :args _let_69)) _let_70 :args (_let_150 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.v_a _let_13 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_152 false _let_9)) :args (_let_149 false _let_150 false _let_152)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_26)) :args ((or _let_24 _let_25 _let_17 (not _let_26)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.v_b _let_14 tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_69)) _let_70 :args (_let_23 false _let_6)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_32)) :args ((or _let_29 _let_30 _let_31 (not _let_32)))) _let_63 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_34 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_35 (not _let_43)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_41 _let_49 _let_29 (not _let_50)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_64 _let_48 _let_66 (not _let_67)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_74)) :args ((or _let_72 _let_73 _let_11 (not _let_74)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_136)) :args ((or _let_133 _let_130 (not _let_136)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.v_b _let_113 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_144)) :args _let_142)) _let_143 :args (_let_136 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_135)) :args ((or _let_11 _let_125 _let_134 (not _let_135)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.v_b tptp.v_a _let_83 tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_20))) _let_21 :args (_let_135 false _let_5)) _let_82 (REORDERING (CNF_OR_POS :args (_let_132)) :args ((or _let_129 _let_121 _let_131 (not _let_132)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_120 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_27)) _let_28 :args (_let_132 false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_148)) :args ((or _let_147 _let_145 (not _let_148)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.v_a _let_83 tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_69)) _let_70 :args (_let_146 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.v_a _let_113 tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_39 :args (_let_148 false _let_9)) :args (_let_145 false _let_146 false _let_148)) (REORDERING (CNF_OR_POS :args (_let_128)) :args ((or _let_127 _let_126 (not _let_128)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.v_b tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_39 :args (_let_128 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_124)) :args ((or _let_123 _let_122 (not _let_124)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.v_c _let_113 tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_38)) _let_39 :args (_let_124 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_119)) :args ((or _let_117 _let_29 _let_118 (not _let_119)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.v_b tptp.v_c tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_20)) _let_21 :args (_let_119 false _let_5)) _let_63 (REORDERING (CNF_OR_POS :args (_let_116)) :args ((or _let_115 _let_114 (not _let_116)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.v_c _let_83 tptp.tc_IntDef_Oint tptp.v_a QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_44)) _let_45 :args (_let_116 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_112)) :args ((or _let_111 _let_105 (not _let_112)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_143 :args (tptp.v_b _let_88 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_144)) :args _let_142)) _let_143 :args (_let_112 false _let_8)) (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_29 _let_108 _let_109 (not _let_110)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.v_c tptp.v_b _let_83 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_20))) _let_21 :args (_let_110 false _let_5)) _let_63 (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_96 _let_104 _let_106 (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_95 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_27)) _let_28 :args (_let_107 false _let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_141)) :args ((or _let_140 _let_138 (not _let_141)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.v_c tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_69)) _let_70 :args (_let_139 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.v_c _let_88 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_141 false _let_9)) :args (_let_138 false _let_139 false _let_141)) (REORDERING (CNF_OR_POS :args (_let_103)) :args ((or _let_92 _let_102 _let_101 (not _let_103)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_91 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_27)) _let_28 :args (_let_103 false _let_2)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.v_b _let_83 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_100 false _let_6)) (REORDERING (CNF_OR_POS :args (_let_99)) :args ((or _let_98 _let_97 (not _let_99)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.v_a _let_88 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_99 false _let_9)) (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_84 _let_11 _let_93 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.v_a tptp.v_b _let_83 tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_20)) _let_21 :args (_let_94 false _let_5)) _let_82 (REORDERING (CNF_OR_POS :args (_let_90)) :args ((or _let_86 _let_89 (not _let_90)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.v_a tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint tptp.v_c QUANTIFIERS_INST_ENUM)) :args _let_44)) _let_45 :args (_let_90 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_87)) :args ((or _let_86 _let_85 (not _let_87)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args _let_137) :args _let_38)) _let_39 :args (_let_87 false _let_9)) :args (_let_86 false _let_136 true _let_133 false _let_135 true _let_11 true _let_130 false _let_132 true _let_129 true _let_125 false _let_128 true _let_121 false _let_124 false _let_117 false _let_119 true _let_29 false _let_114 false _let_116 false _let_111 false _let_112 false _let_108 false _let_110 true _let_29 true _let_105 false _let_107 true _let_104 false _let_102 false _let_103 false _let_100 true _let_96 false _let_99 true _let_92 false _let_94 true _let_11 false _let_89 false _let_90 true _let_84 false _let_87)) _let_82 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.v_a tptp.v_b tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint QUANTIFIERS_INST_ENUM)) :args _let_20)) _let_21 :args (_let_74 false _let_5)) :args (_let_73 true _let_72 true _let_11 false _let_74)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_70 :args (tptp.v_b tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_71)) :args _let_69)) _let_70 :args (_let_65 false _let_6)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_47 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_68)) :args _let_27)) _let_28 :args (_let_67 false _let_2)) :args (_let_48 true _let_64 false _let_65 false _let_67)) _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.v_c tptp.v_b tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_20))) _let_21 :args (_let_50 false _let_5)) :args (_let_41 false _let_48 true _let_29 false _let_50)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_45 :args (tptp.v_c tptp.tc_IntDef_Oint tptp.tc_IntDef_Oint tptp.v_a QUANTIFIERS_INST_E_MATCHING _let_46)) :args _let_44)) _let_45 :args (_let_43 false _let_7)) :args (_let_35 false _let_41 false _let_43)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (tptp.v_c _let_13 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_40)) :args _let_38)) _let_39 :args (_let_37 false _let_9)) :args (_let_34 false _let_35 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.v_c tptp.v_b _let_14 tptp.tc_IntDef_Oint QUANTIFIERS_INST_E_MATCHING _let_33)) :args _let_20))) _let_21 :args (_let_32 false _let_5)) :args (_let_31 true _let_29 true _let_30 false _let_32)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_28 :args (_let_16 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.c_in tptp.v_b V_U tptp.tc_IntDef_Oint) false))))) :args _let_27)) _let_28 :args (_let_26 false _let_2)) :args (_let_17 false _let_23 true _let_25 false _let_26)) :args (_let_22 true _let_11 true _let_15 false _let_17)) _let_21 :args (false true _let_19 false _let_5)) :args (_let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2 _let_1)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.75/0.92  )
% 0.75/0.92  % SZS output end Proof for SET821-2
% 0.75/0.92  % cvc5---1.0.5 exiting
% 0.75/0.92  % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------