TSTP Solution File: SET171+3 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET171+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n023.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 14:38:03 EDT 2023
% Result : Theorem 1.37s 1.57s
% Output : Proof 1.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET171+3 : TPTP v8.1.2. Released v2.2.0.
% 0.03/0.13 % Command : do_cvc5 %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Sat Aug 26 14:26:56 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 1.37/1.57 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.1auicKwlx6/cvc5---1.0.5_4349.p...
% 1.37/1.57 ------- get file name : TPTP file name is SET171+3
% 1.37/1.57 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_4349.smt2...
% 1.37/1.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.37/1.57 % SZS status Theorem for SET171+3
% 1.37/1.57 % SZS output start Proof for SET171+3
% 1.37/1.57 (
% 1.37/1.57 (let ((_let_1 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.union B (tptp.intersection C D)) (tptp.intersection (tptp.union B C) (tptp.union B D)))))) (let ((_let_2 (not _let_1))) (let ((_let_3 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (forall ((D $$unsorted)) (= (tptp.member D B) (tptp.member D C))))))) (let ((_let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.intersection B C) (tptp.intersection C B))))) (let ((_let_5 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.union B C) (tptp.union C B))))) (let ((_let_6 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.intersection B C)) (and (tptp.member D B) (tptp.member D C)))))) (let ((_let_7 (forall ((B $$unsorted) (C $$unsorted) (D $$unsorted)) (= (tptp.member D (tptp.union B C)) (or (tptp.member D B) (tptp.member D C)))))) (let ((_let_8 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_9 (tptp.union _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_10 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8))) (let ((_let_11 (= _let_10 _let_9))) (let ((_let_12 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_10))) (let ((_let_13 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_9))) (let ((_let_14 (_let_5))) (let ((_let_15 (ASSUME :args _let_14))) (let ((_let_16 ((tptp.union B C)))) (let ((_let_17 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_14)) _let_15 :args (_let_11 false _let_5)))) (let ((_let_18 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_19 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_20 (tptp.intersection _let_19 _let_18))) (let ((_let_21 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_20))) (let ((_let_22 (= _let_21 _let_12))) (let ((_let_23 (forall ((D $$unsorted)) (= (tptp.member D (tptp.intersection (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3) (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))))))) (let ((_let_24 (not _let_22))) (let ((_let_25 (= _let_10 _let_20))) (let ((_let_26 (= _let_25 _let_23))) (let ((_let_27 (not _let_23))) (let ((_let_28 (_let_3))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 (not _let_25))) (let ((_let_31 (_let_2))) (let ((_let_32 (ASSUME :args _let_31))) (let ((_let_33 (or))) (let ((_let_34 (_let_27))) (let ((_let_35 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_34)) :args _let_34)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_27) _let_23))) (REFL :args (_let_24)) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_26)) :args ((or _let_25 _let_27 (not _let_26)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE _let_32) :args _let_31)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args (_let_30)) :args _let_33)) _let_32 :args (_let_30 true _let_1)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_20 _let_10 QUANTIFIERS_INST_ENUM)) :args _let_28))) _let_29 :args (_let_26 false _let_3)) :args (_let_27 true _let_25 false _let_26)) :args (_let_24 true _let_23)))) (let ((_let_36 (tptp.intersection _let_18 _let_19))) (let ((_let_37 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_36))) (let ((_let_38 (= _let_20 _let_36))) (let ((_let_39 (not _let_21))) (let ((_let_40 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_19))) (let ((_let_41 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_18))) (let ((_let_42 (and _let_41 _let_40))) (let ((_let_43 (= _let_37 _let_42))) (let ((_let_44 (not _let_37))) (let ((_let_45 (_let_6))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((tptp.member D (tptp.intersection B C))))) (let ((_let_48 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (_let_18 _let_19 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_43 false _let_6)))) (let ((_let_49 (not _let_42))) (let ((_let_50 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (let ((_let_51 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_52 (or _let_51 _let_50))) (let ((_let_53 (= _let_41 _let_52))) (let ((_let_54 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_8))) (let ((_let_55 (or _let_54 _let_51))) (let ((_let_56 (= _let_13 _let_55))) (let ((_let_57 (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_58 (= _let_19 _let_57))) (let ((_let_59 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 _let_57))) (let ((_let_60 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_61 (and _let_60 _let_50))) (let ((_let_62 (= _let_54 _let_61))) (let ((_let_63 (or _let_60 _let_51))) (let ((_let_64 (= _let_59 _let_63))) (let ((_let_65 (not _let_41))) (let ((_let_66 (not _let_12))) (let ((_let_67 (or _let_66 _let_40))) (let ((_let_68 (_let_22))) (let ((_let_69 (REORDERING (CNF_EQUIV_NEG1 :args _let_68) :args ((or _let_21 _let_12 _let_22))))) (let ((_let_70 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_71 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 _let_19))) (let ((_let_72 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 _let_10))) (let ((_let_73 (not _let_72))) (let ((_let_74 (or _let_73 _let_71))) (let ((_let_75 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_76 (not _let_75))) (let ((_let_77 (or _let_76 _let_71))) (let ((_let_78 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2)) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_79 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 _let_19))) (let ((_let_80 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2))) (let ((_let_81 (not _let_80))) (let ((_let_82 (or _let_81 _let_79))) (let ((_let_83 (or _let_80 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))) (let ((_let_84 (= _let_79 _let_83))) (let ((_let_85 (_let_7))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((tptp.member D (tptp.union B C))))) (let ((_let_88 (not _let_78))) (let ((_let_89 (_let_88))) (let ((_let_90 (_let_78))) (let ((_let_91 ((not (= (tptp.member D _let_19) true))))) (let ((_let_92 (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91))) (let ((_let_93 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 _let_8))) (let ((_let_94 (or _let_75 _let_93))) (let ((_let_95 (= _let_72 _let_94))) (let ((_let_96 (not _let_93))) (let ((_let_97 (or _let_96 _let_71))) (let ((_let_98 (not _let_77))) (let ((_let_99 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_100 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_19))) (let ((_let_101 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 _let_8))) (let ((_let_102 (not _let_101))) (let ((_let_103 (or _let_102 _let_100))) (let ((_let_104 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_105 (or _let_102 _let_104))) (let ((_let_106 (not _let_104))) (let ((_let_107 (or _let_106 _let_100))) (let ((_let_108 (forall ((D $$unsorted)) (or (not (tptp.member D (tptp.intersection SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4))) (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))))) (let ((_let_109 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_110 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 _let_8))) (let ((_let_111 (not _let_110))) (let ((_let_112 (or _let_111 _let_109))) (let ((_let_113 (and _let_109 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4)))) (let ((_let_114 (= _let_110 _let_113))) (let ((_let_115 (not _let_108))) (let ((_let_116 (_let_115))) (let ((_let_117 (_let_108))) (let ((_let_118 (forall ((D $$unsorted)) (or (not (tptp.member D SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)) (tptp.member D (tptp.union SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3)))))) (let ((_let_119 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 _let_19))) (let ((_let_120 (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3))) (let ((_let_121 (not _let_120))) (let ((_let_122 (or _let_121 _let_119))) (let ((_let_123 (or (tptp.member SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2) _let_120))) (let ((_let_124 (= _let_119 _let_123))) (let ((_let_125 (not _let_118))) (let ((_let_126 (_let_125))) (let ((_let_127 (_let_118))) (let ((_let_128 (not _let_99))) (let ((_let_129 (_let_128))) (let ((_let_130 (_let_99))) (let ((_let_131 (not _let_70))) (let ((_let_132 (_let_131))) (let ((_let_133 (_let_70))) (let ((_let_134 (not _let_43))) (let ((_let_135 (_let_43))) (let ((_let_136 (_let_4))) (let ((_let_137 (ASSUME :args _let_136))) (let ((_let_138 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_137 :args (_let_19 _let_18 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.intersection B C)))) :args _let_136)) _let_137 :args (_let_38 false _let_4)))) (let ((_let_139 (_let_44))) (let ((_let_140 (not _let_38))) (let ((_let_141 (REFL :args (_let_140)))) (let ((_let_142 (and _let_38 _let_39))) (let ((_let_143 (_let_39))) (let ((_let_144 (ASSUME :args _let_143))) (let ((_let_145 (APPLY_UF tptp.member))) (let ((_let_146 (ASSUME :args (_let_38)))) (let ((_let_147 (SYMM _let_146))) (let ((_let_148 (REFL :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87)))) (let ((_let_149 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_53 false _let_7)))) (let ((_let_150 (not _let_53))) (let ((_let_151 (_let_53))) (let ((_let_152 (and _let_38 _let_44))) (let ((_let_153 (ASSUME :args _let_139))) (let ((_let_154 (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_152)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_153 _let_146) (SCOPE (FALSE_ELIM (TRANS (CONG _let_148 (SYMM _let_147) :args _let_145) (FALSE_INTRO _let_153))) :args (_let_44 _let_38))) :args (_let_38 _let_44))) :args (true _let_152)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_44) _let_37))) (REFL :args _let_143) :args _let_33)) :args ((or _let_140 _let_39 _let_37))))) (let ((_let_155 (not _let_13))) (let ((_let_156 (and _let_11 _let_66))) (let ((_let_157 (ASSUME :args (_let_66)))) (let ((_let_158 (ASSUME :args (_let_11)))) (let ((_let_159 (CONG _let_148 (SYMM _let_158) :args _let_145))) (let ((_let_160 (REORDERING (CNF_EQUIV_POS1 :args _let_135) :args ((or _let_42 _let_44 _let_134))))) (let ((_let_161 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_56 false _let_7)))) (let ((_let_162 (not _let_56))) (let ((_let_163 (not _let_55))) (let ((_let_164 (_let_56))) (let ((_let_165 (and _let_58 _let_40))) (let ((_let_166 (ASSUME :args (_let_40)))) (let ((_let_167 (ASSUME :args (_let_58)))) (let ((_let_168 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_62 false _let_6)))) (let ((_let_169 (not _let_62))) (let ((_let_170 (not _let_61))) (let ((_let_171 (_let_62))) (let ((_let_172 (not _let_52))) (let ((_let_173 (not _let_50))) (let ((_let_174 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_63)) :args ((or _let_51 _let_60 (not _let_63)))) (REORDERING (CNF_AND_NEG :args (_let_61)) :args ((or _let_173 _let_61 (not _let_60)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_64)) :args ((or _let_63 (not _let_59) (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_64 false _let_7)) (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_51 _let_50 _let_172))) (REORDERING (CNF_EQUIV_POS2 :args _let_171) :args ((or _let_54 _let_170 _let_169))) _let_168 (RESOLUTION (CNF_AND_NEG :args (_let_165)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_166 _let_167) (SCOPE (TRUE_ELIM (TRANS (CONG _let_148 (SYMM _let_167) :args _let_145) (TRUE_INTRO _let_166))) :args (_let_40 _let_58))) :args (_let_58 _let_40))) :args (true _let_165)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_15 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_16)) :args _let_14)) _let_15 :args (_let_58 false _let_5)) (CNF_OR_NEG :args (_let_55 1)) (CNF_OR_NEG :args (_let_55 0)) (REORDERING (CNF_AND_POS :args (_let_42 1)) :args ((or _let_40 _let_49))) (REORDERING (CNF_EQUIV_POS2 :args _let_164) :args ((or _let_13 _let_163 _let_162))) _let_161 _let_160 _let_48 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_156)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_157 _let_158) (SCOPE (FALSE_ELIM (TRANS _let_159 (FALSE_INTRO _let_157))) :args (_let_66 _let_11))) :args (_let_11 _let_66))) :args (true _let_156)) (CONG (REFL :args ((not _let_11))) (MACRO_SR_PRED_INTRO :args ((= (not _let_66) _let_12))) (REFL :args (_let_155)) :args _let_33)) _let_17 _let_154 _let_138 (CNF_EQUIV_NEG2 :args _let_68) _let_35 (REORDERING (CNF_EQUIV_POS1 :args _let_151) :args ((or _let_65 _let_52 _let_150))) _let_149 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_142)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_144 _let_146) (SCOPE (FALSE_ELIM (TRANS (CONG _let_148 _let_147 :args _let_145) (FALSE_INTRO _let_144))) :args (_let_39 _let_38))) :args (_let_38 _let_39))) :args (true _let_142)) (CONG _let_141 (MACRO_SR_PRED_INTRO :args ((= (not _let_39) _let_21))) (REFL :args _let_139) :args _let_33)) _let_138 (REORDERING (CNF_EQUIV_POS2 :args _let_135) :args ((or _let_37 _let_49 _let_134))) _let_48 (CNF_AND_NEG :args (_let_42)) (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_66 _let_40 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_133) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_87 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D _let_10) false))))) :args _let_133)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_132)) :args _let_132)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_131) _let_70))) (REFL :args ((not _let_74))) :args _let_33)) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_75 _let_93 (not _let_94)))) (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_71 _let_76 _let_98))) (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_71 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_130) :args _let_92) :args _let_130)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_129)) :args _let_129)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_128) _let_99))) (REFL :args ((not _let_103))) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_107)) :args ((or _let_100 _let_106 (not _let_107)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_127) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_91)) :args _let_127)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_126)) :args _let_126)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_125) _let_118))) (REFL :args ((not _let_122))) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_124)) :args ((or _let_119 (not _let_123) (not _let_124)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_32 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_124 false _let_7)) (REORDERING (CNF_OR_NEG :args (_let_123 1)) :args ((or _let_121 _let_123))) (CNF_OR_NEG :args (_let_122 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_122 0)) (CONG (REFL :args (_let_122)) (MACRO_SR_PRED_INTRO :args ((= (not _let_121) _let_120))) :args _let_33)) :args ((or _let_120 _let_122))) :args (_let_122 false _let_124 false _let_123 true _let_119 false _let_120)) :args (_let_118 false _let_122)) :args (_let_107 false _let_118)) (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_102 _let_104 (not _let_105)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_117) :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_54 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member D _let_8) false))))) :args _let_117)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_116)) :args _let_116)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_115) _let_108))) (REFL :args ((not _let_112))) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_113 0)) :args ((or _let_109 (not _let_113)))) (REORDERING (CNF_EQUIV_POS1 :args (_let_114)) :args ((or _let_111 _let_113 (not _let_114)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_4 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_40 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_114 false _let_6)) (CNF_OR_NEG :args (_let_112 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_112 0)) (CONG (REFL :args (_let_112)) (MACRO_SR_PRED_INTRO :args ((= (not _let_111) _let_110))) :args _let_33)) :args ((or _let_110 _let_112))) :args (_let_112 false _let_113 false _let_114 true _let_109 false _let_110)) :args (_let_108 false _let_112)) :args (_let_105 false _let_108)) (CNF_OR_NEG :args (_let_103 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_103 0)) (CONG (REFL :args (_let_103)) (MACRO_SR_PRED_INTRO :args ((= (not _let_102) _let_101))) :args _let_33)) :args ((or _let_101 _let_103))) :args (_let_103 false _let_107 false _let_104 false _let_105 true _let_100 false _let_101)) :args (_let_99 false _let_103)) :args (_let_97 false _let_99)) (REORDERING (CNF_EQUIV_POS1 :args (_let_95)) :args ((or _let_73 _let_94 (not _let_95)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 _let_8 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_58 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_95 false _let_7)) (CNF_OR_NEG :args (_let_74 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_74 0)) (CONG (REFL :args (_let_74)) (MACRO_SR_PRED_INTRO :args ((= (not _let_73) _let_72))) :args _let_33)) :args ((or _let_72 _let_74))) :args ((or _let_74 _let_98) true _let_75 true _let_93 false _let_97 false _let_94 false _let_95 true _let_71 false _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE (ASSUME :args _let_90) :args _let_92) :args _let_90)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (IMPLIES_ELIM (SCOPE (SKOLEMIZE (ASSUME :args _let_89)) :args _let_89)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_88) _let_78))) (REFL :args ((not _let_82))) :args _let_33)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args (_let_84)) :args ((or _let_79 (not _let_83) (not _let_84)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_2 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_3 SKOLEM_FUN_QUANTIFIERS_SKOLEMIZE_27 QUANTIFIERS_INST_E_MATCHING _let_87)) :args _let_85)) _let_86 :args (_let_84 false _let_7)) (REORDERING (CNF_OR_NEG :args (_let_83 0)) :args ((or _let_81 _let_83))) (CNF_OR_NEG :args (_let_82 1)) (REORDERING (EQ_RESOLVE (CNF_OR_NEG :args (_let_82 0)) (CONG (REFL :args (_let_82)) (MACRO_SR_PRED_INTRO :args ((= (not _let_81) _let_80))) :args _let_33)) :args ((or _let_80 _let_82))) :args (_let_82 false _let_84 false _let_83 true _let_79 false _let_80)) :args (_let_78 false _let_82)) :args (_let_77 false _let_78)) :args (_let_74 false _let_77)) :args (_let_70 false _let_74)) :args (_let_67 false _let_70)) _let_69 _let_35 :args ((or _let_21 _let_65) false _let_38 false _let_37 false _let_43 false _let_42 false _let_40 false _let_67 false _let_12 true _let_22)) :args (_let_65 true _let_60 false _let_63 false _let_64 false _let_50 true _let_61 false _let_62 false _let_59 false _let_58 true _let_51 true _let_54 false _let_40 true _let_55 false _let_56 false _let_42 false _let_43 true _let_13 false _let_11 false _let_37 false _let_38 true _let_12 true _let_22 false _let_52 false _let_53 false _let_21)))) (let ((_let_175 (not _let_51))) (let ((_let_176 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS2 :args _let_151) :args ((or _let_41 _let_172 _let_150))) _let_174 _let_149 :args (_let_172 true _let_41 false _let_53)))) (let ((_let_177 (not _let_54))) (let ((_let_178 (and _let_11 _let_12))) (let ((_let_179 (ASSUME :args (_let_12)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_178)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_179 _let_158) (SCOPE (TRUE_ELIM (TRANS _let_159 (TRUE_INTRO _let_179))) :args (_let_12 _let_11))) :args (_let_11 _let_12))) :args (true _let_178)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_164) :args ((or _let_55 _let_155 _let_162))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_55)) :args ((or _let_54 _let_51 _let_163))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_EQUIV_POS1 :args _let_171) :args ((or _let_177 _let_61 _let_169))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_61 1)) :args ((or _let_50 _let_170))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_52 1)) :args ((or _let_173 _let_52))) _let_176 :args (_let_173 true _let_52)) :args (_let_170 true _let_50)) _let_168 :args (_let_177 true _let_61 false _let_62)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_NEG :args (_let_52 0)) :args ((or _let_175 _let_52))) _let_176 :args (_let_175 true _let_52)) :args (_let_163 true _let_54 true _let_51)) _let_161 :args (_let_155 true _let_55 false _let_56)) (MACRO_RESOLUTION_TRUST _let_69 (MACRO_RESOLUTION_TRUST _let_154 _let_138 (MACRO_RESOLUTION_TRUST _let_160 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_AND_POS :args (_let_42 0)) :args ((or _let_41 _let_49))) _let_174 :args (_let_49 true _let_41)) _let_48 :args (_let_44 true _let_42 false _let_43)) :args (_let_39 false _let_38 true _let_37)) _let_35 :args (_let_12 true _let_21 true _let_22)) _let_17 :args (false true _let_13 false _let_12 false _let_11)) :args (_let_7 _let_6 (forall ((B $$unsorted) (C $$unsorted)) (= (= B C) (and (tptp.subset B C) (tptp.subset C B)))) _let_5 _let_4 (forall ((B $$unsorted) (C $$unsorted)) (= (tptp.subset B C) (forall ((D $$unsorted)) (=> (tptp.member D B) (tptp.member D C))))) (forall ((B $$unsorted)) (tptp.subset B B)) _let_3 _let_2 true))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.37/1.57 )
% 1.37/1.57 % SZS output end Proof for SET171+3
% 1.37/1.57 % cvc5---1.0.5 exiting
% 1.37/1.57 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------