TSTP Solution File: SET061-7 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET061-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n011.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 14:37:15 EDT 2023
% Result : Unsatisfiable 14.29s 14.46s
% Output : Proof 14.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.13 % Problem : SET061-7 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.15/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n011.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 13:01:24 EDT 2023
% 0.21/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.FwVRf32gIk/cvc5---1.0.5_24718.p...
% 0.21/0.52 ------- get file name : TPTP file name is SET061-7
% 0.21/0.52 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_24718.smt2...
% 0.21/0.52 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.57/10.79 --- Run --no-e-matching --full-saturate-quant at 5...
% 14.29/14.46 % SZS status Unsatisfiable for SET061-7
% 14.29/14.46 % SZS output start Proof for SET061-7
% 14.30/14.47 (
% 14.30/14.47 (let ((_let_1 (tptp.member tptp.z tptp.null_class))) (let ((_let_2 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.not_subclass_element X Y) Y)) (not (tptp.member (tptp.not_subclass_element Y X) X)) (= X Y))))) (let ((_let_3 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.not_subclass_element X Y) Y)) (= X Y) (tptp.member (tptp.not_subclass_element Y X) Y))))) (let ((_let_4 (tptp.complement tptp.element_relation))) (let ((_let_5 (tptp.cross_product tptp.universal_class tptp.universal_class))) (let ((_let_6 (forall ((X $$unsorted)) (or (= X tptp.null_class) (= (tptp.intersection X (tptp.regular X)) tptp.null_class))))) (let ((_let_7 (forall ((X $$unsorted)) (or (= X tptp.null_class) (tptp.member (tptp.regular X) X))))) (let ((_let_8 (tptp.inductive tptp.omega))) (let ((_let_9 (forall ((X $$unsorted)) (or (not (tptp.inductive X)) (tptp.member tptp.null_class X))))) (let ((_let_10 (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.complement X))) (not (tptp.member Z X)))))) (let ((_let_11 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.intersection X Y))) (tptp.member Z X))))) (let ((_let_12 (tptp.subclass tptp.element_relation _let_5))) (let ((_let_13 (forall ((U $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member U (tptp.unordered_pair X Y))) (= U X) (= U Y))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.subclass X Y)) (not (tptp.subclass Y X)) (= X Y))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.subclass X Y))))) (let ((_let_16 (forall ((X $$unsorted)) (tptp.subclass X tptp.universal_class)))) (let ((_let_17 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.not_subclass_element X Y) Y)) (tptp.subclass X Y))))) (let ((_let_18 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.member (tptp.not_subclass_element X Y) X) (tptp.subclass X Y))))) (let ((_let_19 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (not (tptp.subclass X Y)) (not (tptp.member U X)) (tptp.member U Y))))) (let ((_let_20 (tptp.member tptp.universal_class tptp.universal_class))) (let ((_let_21 (= tptp.universal_class tptp.z))) (let ((_let_22 (= tptp.universal_class tptp.null_class))) (let ((_let_23 (= tptp.universal_class tptp.element_relation))) (let ((_let_24 (= tptp.element_relation _let_5))) (let ((_let_25 (tptp.regular _let_4))) (let ((_let_26 (tptp.intersection _let_4 _let_25))) (let ((_let_27 (tptp.member tptp.universal_class _let_26))) (let ((_let_28 (= tptp.null_class _let_26))) (let ((_let_29 (tptp.unordered_pair tptp.universal_class tptp.universal_class))) (let ((_let_30 (tptp.member tptp.universal_class _let_29))) (let ((_let_31 (not _let_30))) (let ((_let_32 (tptp.subclass _let_29 tptp.universal_class))) (let ((_let_33 (not _let_32))) (let ((_let_34 (or _let_33 _let_31 _let_20))) (let ((_let_35 (_let_19))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 (_let_16))) (let ((_let_38 (ASSUME :args _let_37))) (let ((_let_39 (_let_29 QUANTIFIERS_INST_ENUM))) (let ((_let_40 (tptp.regular _let_29))) (let ((_let_41 (tptp.member _let_40 _let_29))) (let ((_let_42 (= tptp.null_class _let_29))) (let ((_let_43 (or _let_42 _let_41))) (let ((_let_44 (tptp.member tptp.z _let_29))) (let ((_let_45 (not _let_44))) (let ((_let_46 (or _let_45 _let_21 _let_21))) (let ((_let_47 (= tptp.universal_class _let_40))) (let ((_let_48 (not _let_41))) (let ((_let_49 (or _let_48 _let_47 _let_47))) (let ((_let_50 (_let_13))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (or))) (let ((_let_53 (MACRO_SR_PRED_INTRO :args ((= (not _let_31) _let_30))))) (let ((_let_54 (ASSUME :args (_let_31)))) (let ((_let_55 (FALSE_INTRO _let_54))) (let ((_let_56 (APPLY_UF tptp.member))) (let ((_let_57 (REFL :args (_let_29)))) (let ((_let_58 (ASSUME :args (_let_47)))) (let ((_let_59 (ASSUME :args (_let_41)))) (let ((_let_60 (forall ((X $$unsorted)) (or (= tptp.null_class X) (tptp.member (tptp.regular X) X))))) (let ((_let_61 (EQ_RESOLVE (ASSUME :args (_let_7)) (MACRO_SR_EQ_INTRO :args (_let_7 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_62 (ASSUME :args (_let_1)))) (let ((_let_63 (and _let_1 _let_42))) (let ((_let_64 (_let_1 _let_42))) (let ((_let_65 (TRUE_INTRO _let_62))) (let ((_let_66 (ASSUME :args (_let_42)))) (let ((_let_67 (SYMM (SYMM _let_66)))) (let ((_let_68 (REFL :args (tptp.z)))) (let ((_let_69 (RESOLUTION (CNF_AND_NEG :args (_let_63)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_62 _let_66) (SCOPE (TRUE_ELIM (TRANS (CONG _let_68 (SYMM _let_67) :args _let_56) _let_65)) :args _let_64)) :args _let_64)) :args (true _let_63)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.z tptp.universal_class tptp.universal_class QUANTIFIERS_INST_CBQI_PROP)) :args _let_50))) _let_51 :args (_let_46 false _let_13)))) (let ((_let_71 (REORDERING (FACTORING (CNF_OR_POS :args (_let_46))) :args ((or _let_45 _let_21 (not _let_46)))))) (let ((_let_72 (not _let_21))) (let ((_let_73 (REFL :args (_let_72)))) (let ((_let_74 (REFL :args ((not _let_1))))) (let ((_let_75 (ASSUME :args (_let_21)))) (let ((_let_76 (SYMM _let_75))) (let ((_let_77 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_20 _let_31 _let_33 (not _let_34)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_54 _let_75 _let_66 _let_62) :args (_let_1 _let_31 _let_42 _let_21)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM _let_65) (CONG _let_68 _let_67 :args _let_56) (CONG _let_76 _let_57 :args _let_56) _let_55)) :args (_let_31 _let_21 _let_42 _let_1)) :args ((not (and _let_1 _let_31 _let_42 _let_21)) SB_LITERAL))) (CONG _let_74 _let_53 (REFL :args ((not _let_42))) _let_73 :args _let_52)) _let_62 _let_71 _let_70 _let_69 _let_62 (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_42 _let_41 (not _let_43)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args _let_39) :args (_let_60))) _let_61 :args (_let_43 false _let_60)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_54 _let_58 _let_59) :args (_let_31 _let_41 _let_47)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (TRUE_INTRO _let_59)) (CONG (SYMM _let_58) _let_57 :args _let_56) _let_55)) :args (_let_31 _let_47 _let_41)) :args ((not (and _let_31 _let_41 _let_47)) SB_LITERAL))) (CONG _let_53 (REFL :args (_let_48)) (REFL :args ((not _let_47))) :args _let_52)) (REORDERING (FACTORING (CNF_OR_POS :args (_let_49))) :args ((or _let_48 _let_47 (not _let_49)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_51 :args (_let_40 tptp.universal_class tptp.universal_class QUANTIFIERS_INST_CBQI_PROP)) :args _let_50))) _let_51 :args (_let_49 false _let_13)) :args ((or _let_30 _let_48) false _let_47 false _let_49)) :args (_let_30 false _let_1 false _let_21 false _let_46 false _let_44 false _let_1 false _let_42 false _let_43 true _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_38 :args _let_39) :args _let_37)) _let_38 :args (_let_32 false _let_16)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_29 tptp.universal_class tptp.universal_class QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_35)) _let_36 :args (_let_34 false _let_19)) :args (_let_20 false _let_30 false _let_32 false _let_34)))) (let ((_let_78 (tptp.intersection _let_29 _let_40))) (let ((_let_79 (tptp.member tptp.z _let_78))) (let ((_let_80 (not _let_79))) (let ((_let_81 (or _let_80 _let_44))) (let ((_let_82 (= tptp.null_class _let_78))) (let ((_let_83 (or _let_42 _let_82))) (let ((_let_84 (_let_11))) (let ((_let_85 (ASSUME :args _let_84))) (let ((_let_86 (forall ((X $$unsorted)) (or (= tptp.null_class X) (= tptp.null_class (tptp.intersection X (tptp.regular X))))))) (let ((_let_87 (EQ_RESOLVE (ASSUME :args (_let_6)) (MACRO_SR_EQ_INTRO :args (_let_6 SB_DEFAULT SBA_FIXPOINT))))) (let ((_let_88 (_let_86))) (let ((_let_89 (MACRO_RESOLUTION_TRUST _let_71 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO (ASSUME :args (_let_80)))) (CONG _let_68 (SYMM (ASSUME :args (_let_82))) :args _let_56) _let_65)) :args (_let_1 _let_82 _let_80))) (CONG _let_74 (REFL :args ((not _let_82))) (MACRO_SR_PRED_INTRO :args ((= (not _let_80) _let_79))) :args _let_52)) _let_62 (REORDERING (CNF_OR_POS :args (_let_83)) :args ((or _let_42 _let_82 (not _let_83)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args _let_39) :args _let_88)) _let_87 :args (_let_83 false _let_86)) (REORDERING (CNF_OR_POS :args (_let_81)) :args ((or _let_44 _let_80 (not _let_81)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.z _let_29 _let_40 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_81 false _let_11)) _let_69 _let_62 :args (_let_44 false _let_1 false _let_82 false _let_83 true _let_79 false _let_81 true _let_42 false _let_1)) _let_70 :args (_let_21 false _let_44 false _let_46)))) (let ((_let_90 (= tptp.null_class (tptp.intersection tptp.universal_class (tptp.regular tptp.universal_class))))) (let ((_let_91 (or _let_22 _let_90))) (let ((_let_92 (tptp.universal_class QUANTIFIERS_INST_ENUM))) (let ((_let_93 (tptp.member tptp.universal_class _let_4))) (let ((_let_94 (tptp.member tptp.universal_class tptp.element_relation))) (let ((_let_95 (not _let_94))) (let ((_let_96 (not _let_93))) (let ((_let_97 (or _let_96 _let_95))) (let ((_let_98 (tptp.regular tptp.element_relation))) (let ((_let_99 (tptp.intersection tptp.element_relation _let_98))) (let ((_let_100 (tptp.member tptp.universal_class _let_99))) (let ((_let_101 (not _let_100))) (let ((_let_102 (or _let_101 _let_94))) (let ((_let_103 (= tptp.null_class _let_99))) (let ((_let_104 (= tptp.element_relation tptp.null_class))) (let ((_let_105 (or _let_104 _let_103))) (let ((_let_106 (not _let_90))) (let ((_let_107 (not _let_27))) (let ((_let_108 (or _let_107 _let_93))) (let ((_let_109 (= tptp.null_class _let_4))) (let ((_let_110 (or _let_109 _let_28))) (let ((_let_111 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.universal_class _let_4 _let_25 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_108 false _let_11)))) (let ((_let_112 (REORDERING (CNF_OR_POS :args (_let_108)) :args ((or _let_93 _let_107 (not _let_108)))))) (let ((_let_113 (MACRO_SR_PRED_INTRO :args ((= (not _let_107) _let_27))))) (let ((_let_114 (REFL :args ((not _let_28))))) (let ((_let_115 (REFL :args (_let_106)))) (let ((_let_116 (SYMM _let_76))) (let ((_let_117 (CONG _let_116 (REFL :args (tptp.null_class)) :args _let_56))) (let ((_let_118 (ASSUME :args (_let_90)))) (let ((_let_119 (CONG _let_76 (SYMM _let_118) :args _let_56))) (let ((_let_120 (ASSUME :args (_let_28)))) (let ((_let_121 (SYMM _let_120))) (let ((_let_122 (ASSUME :args (_let_107)))) (let ((_let_123 (SYMM (FALSE_INTRO _let_122)))) (let ((_let_124 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args (_let_4 QUANTIFIERS_INST_ENUM)) :args _let_88)) _let_87 :args (_let_110 false _let_86)))) (let ((_let_125 (REORDERING (CNF_OR_POS :args (_let_110)) :args ((or _let_109 _let_28 (not _let_110)))))) (let ((_let_126 (not _let_109))) (let ((_let_127 (REFL :args (_let_126)))) (let ((_let_128 (ASSUME :args (_let_109)))) (let ((_let_129 (SYMM _let_128))) (let ((_let_130 (_let_96))) (let ((_let_131 (ASSUME :args _let_130))) (let ((_let_132 (_let_10))) (let ((_let_133 (ASSUME :args _let_132))) (let ((_let_134 (tptp.universal_class tptp.element_relation QUANTIFIERS_INST_ENUM))) (let ((_let_135 (REFL :args ((not _let_103))))) (let ((_let_136 (ASSUME :args (_let_103)))) (let ((_let_137 (SYMM _let_136))) (let ((_let_138 (ASSUME :args (_let_101)))) (let ((_let_139 (tptp.element_relation QUANTIFIERS_INST_ENUM))) (let ((_let_140 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args _let_139) :args _let_88))) _let_87 :args (_let_105 false _let_86)))) (let ((_let_141 (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_104 _let_103 (not _let_105)))))) (let ((_let_142 (not _let_104))) (let ((_let_143 (REFL :args (_let_142)))) (let ((_let_144 (ASSUME :args (_let_104)))) (let ((_let_145 (SYMM _let_144))) (let ((_let_146 (ASSUME :args (_let_95)))) (let ((_let_147 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_22 _let_90 (not _let_91)))) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_75 _let_118 _let_144 _let_146) :args (_let_1 _let_90 _let_95 _let_104 _let_21)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_146)) (CONG _let_116 (TRANS (SYMM _let_145) _let_118) :args _let_56) _let_119 _let_117 _let_65)) :args (_let_1 _let_21 _let_90 _let_104 _let_95)) :args ((not (and _let_1 _let_90 _let_95 _let_104 _let_21)) SB_LITERAL))) (CONG _let_74 _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_95) _let_94))) _let_143 _let_73 :args _let_52)) _let_89 _let_62 _let_141 _let_140 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_75 _let_118 _let_136 _let_138) :args (_let_1 _let_90 _let_103 _let_21 _let_101)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_138)) (CONG _let_116 (TRANS _let_137 _let_118) :args _let_56) _let_119 _let_117 _let_65)) :args (_let_1 _let_21 _let_90 _let_103 _let_101)) :args ((not (and _let_1 _let_90 _let_103 _let_21 _let_101)) SB_LITERAL))) (CONG _let_74 _let_115 _let_135 _let_73 (MACRO_SR_PRED_INTRO :args ((= (not _let_101) _let_100))) :args _let_52)) _let_89 _let_62 (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_94 _let_101 (not _let_102)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (tptp.universal_class tptp.element_relation _let_98 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_102 false _let_11)) (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_95 _let_96 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args _let_134) :args _let_132)) _let_133 :args (_let_97 false _let_10)) (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_75 _let_118 _let_128 _let_131) :args (_let_1 _let_90 _let_96 _let_109 _let_21)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_131)) (CONG _let_116 (TRANS _let_129 _let_118) :args _let_56) _let_119 _let_117 _let_65)) :args (_let_1 _let_21 _let_90 _let_109 _let_96)) :args ((not (and _let_1 _let_90 _let_96 _let_109 _let_21)) SB_LITERAL))) (CONG _let_74 _let_115 (MACRO_SR_PRED_INTRO :args ((= (not _let_96) _let_93))) _let_127 _let_73 :args _let_52)) _let_89 _let_62 _let_125 _let_124 (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_62 _let_75 _let_118 _let_120 _let_122) :args (_let_1 _let_90 _let_28 _let_21 _let_107)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS _let_123 (CONG _let_116 (TRANS _let_121 _let_118) :args _let_56) _let_119 _let_117 _let_65)) :args (_let_1 _let_21 _let_90 _let_28 _let_107)) :args ((not (and _let_1 _let_90 _let_28 _let_21 _let_107)) SB_LITERAL))) (CONG _let_74 _let_115 _let_114 _let_73 _let_113 :args _let_52)) _let_89 _let_62 _let_112 _let_111 :args ((or _let_106 _let_93) false _let_21 false _let_1 false _let_109 false _let_110 true _let_28 false _let_21 false _let_1 true _let_27 false _let_108)) :args (_let_106 false _let_21 false _let_1 false _let_104 false _let_105 true _let_103 false _let_21 false _let_1 true _let_100 false _let_102 true _let_94 false _let_97 false _let_93)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (MACRO_SR_PRED_ELIM (SCOPE (INSTANTIATE _let_87 :args _let_92) :args _let_88))) _let_87 :args (_let_91 false _let_86)) :args (_let_22 true _let_90 false _let_91)))) (let ((_let_148 (tptp.subclass tptp.element_relation 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_let_147 (REORDERING (CNF_OR_POS :args (_let_232)) :args ((or _let_231 _let_228 (not _let_232)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_87 :args _let_268) :args _let_88)) _let_87 :args (_let_232 false _let_86)) (EQ_RESOLVE (NOT_AND (MACRO_SR_PRED_TRANSFORM (SCOPE (AND_INTRO _let_265 _let_266 _let_267) :args (_let_229 _let_238 _let_230)) (SCOPE (MACRO_SR_PRED_ELIM (TRANS (SYMM (FALSE_INTRO _let_267)) (CONG _let_206 (SYMM _let_266) :args _let_164) (TRUE_INTRO _let_265))) :args (_let_229 _let_230 _let_238)) :args ((not (and _let_229 _let_238 _let_230)) SB_LITERAL))) (CONG (REFL :args ((not _let_229))) (MACRO_SR_PRED_INTRO :args ((= (not _let_238) _let_225))) (REFL :args _let_264) :args _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_262 :args _let_203) :args (_let_261))) _let_262 :args (_let_229 false _let_261)) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_258)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_259 _let_260) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_246)) (SYMM _let_260) :args _let_56) (TRUE_INTRO _let_259))) :args (_let_247 _let_228))) :args (_let_228 _let_247))) :args (true _let_258)) (REORDERING (CNF_OR_POS :args (_let_254)) :args ((or _let_249 _let_253 (not _let_254)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_85 :args (_let_246 tptp.omega _let_226 QUANTIFIERS_INST_CBQI_CONFLICT)) :args _let_84)) _let_85 :args (_let_254 false _let_11)) (REORDERING (CNF_OR_POS :args (_let_251)) :args ((or _let_224 _let_250 (not _let_251)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_257 :args _let_255) :args _let_256)) _let_257 :args (_let_251 false _let_17)) (REORDERING (CNF_OR_POS :args (_let_248)) :args ((or _let_224 _let_247 (not _let_248)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_170 :args _let_255) :args _let_169)) _let_170 :args (_let_248 false _let_18)) :args ((or (not _let_228) _let_224) true _let_252 false _let_254 true _let_249 false _let_251 false _let_247 false _let_248)) (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_242)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_235 _let_165 _let_243) (SCOPE (FALSE_ELIM (TRANS (CONG _let_245 _let_237 :args _let_164) _let_236)) :args (_let_221 _let_23 _let_24))) :args (_let_23 _let_24 _let_221))) :args (true _let_242)) (CONG _let_162 _let_241 _let_233 (REFL :args _let_239) :args _let_52)) _let_207 _let_197 (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_234)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_235 _let_191) (SCOPE (FALSE_ELIM (TRANS (CONG _let_192 _let_237 :args _let_164) _let_236)) :args (_let_221 _let_22))) :args (_let_22 _let_221))) :args (true _let_234)) (CONG _let_190 _let_233 (REFL :args ((not _let_224))) :args _let_52)) _let_147 :args (_let_220 false _let_24 false _let_23 false _let_22 false _let_231 false _let_232 true _let_230 false _let_229 true _let_228 true _let_225 false _let_24 false _let_23 true _let_224 false _let_22)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_154 :args _let_223) :args _let_153)) _let_154 :args (_let_222 false _let_14)) :args (_let_215 false _let_218 false _let_220 false _let_222)) _let_89 :args (_let_126 false _let_20 false _let_23 false _let_22 false _let_24 true _let_217 false _let_215 false _let_21)) _let_124 :args (_let_28 true _let_109 false _let_110)) (MACRO_RESOLUTION_TRUST _let_112 (MACRO_RESOLUTION_TRUST (REORDERING (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_212)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_213 _let_165) (SCOPE (FALSE_ELIM (TRANS (CONG _let_165 (REFL :args (_let_4)) :args _let_56) (CONG _let_166 (CONG _let_166 :args _let_214) :args _let_56) (FALSE_INTRO _let_213))) :args (_let_210 _let_23))) :args (_let_23 _let_210))) :args (true _let_212)) (CONG _let_162 (MACRO_SR_PRED_INTRO :args ((= (not _let_210) _let_208))) (REFL :args _let_130) :args _let_52)) :args ((or _let_208 _let_160 _let_96))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_211)) :args ((or _let_209 _let_210 (not _let_211)))) _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_133 :args (tptp.universal_class tptp.universal_class QUANTIFIERS_INST_ENUM)) :args _let_132)) _let_133 :args (_let_211 false _let_10)) :args (_let_210 false _let_20 false _let_211)) _let_197 :args (_let_96 true _let_208 false _let_23)) _let_111 :args (_let_107 true _let_93 false _let_108)) _let_207 _let_197 _let_147 _let_89 _let_77 :args (false false _let_28 true _let_27 false _let_24 false _let_23 false _let_22 false _let_21 false _let_20)) :args (_let_19 _let_18 _let_17 _let_16 _let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (= X Y)) (tptp.subclass Y X))) _let_14 _let_13 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X tptp.universal_class)) (tptp.member X (tptp.unordered_pair X Y)))) (forall ((Y $$unsorted) (X $$unsorted)) (or (not (tptp.member Y tptp.universal_class)) (tptp.member Y (tptp.unordered_pair X Y)))) (forall ((X $$unsorted) (Y $$unsorted)) (tptp.member (tptp.unordered_pair X Y) tptp.universal_class)) (forall ((X $$unsorted)) (= (tptp.unordered_pair X X) (tptp.singleton X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.unordered_pair (tptp.singleton X) (tptp.unordered_pair X (tptp.singleton Y))) (tptp.ordered_pair X Y))) (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y))) (tptp.member U X))) (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y))) (tptp.member V Y))) (forall ((U $$unsorted) (X $$unsorted) (V $$unsorted) (Y $$unsorted)) (or (not (tptp.member U X)) (not (tptp.member V Y)) (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y)))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.cross_product X Y))) (= (tptp.ordered_pair (tptp.first Z) (tptp.second Z)) Z))) _let_12 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X Y) tptp.element_relation)) (tptp.member X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.ordered_pair X Y))) (or (not (tptp.member _let_1 (tptp.cross_product tptp.universal_class tptp.universal_class))) (not (tptp.member X Y)) (tptp.member _let_1 tptp.element_relation)))) _let_11 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.intersection X Y))) (tptp.member Z Y))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z X)) (not (tptp.member Z Y)) (tptp.member Z (tptp.intersection X Y)))) _let_10 (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z tptp.universal_class)) (tptp.member Z (tptp.complement X)) (tptp.member Z X))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.complement (tptp.intersection (tptp.complement X) (tptp.complement Y))) (tptp.union X Y))) (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.intersection (tptp.complement (tptp.intersection X Y)) (tptp.complement (tptp.intersection (tptp.complement X) (tptp.complement Y)))) (tptp.symmetric_difference X Y))) (forall ((Xr $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.intersection Xr (tptp.cross_product X Y)) (tptp.restrict Xr X Y))) (forall ((X $$unsorted) (Y $$unsorted) (Xr $$unsorted)) (= (tptp.intersection (tptp.cross_product X Y) Xr) (tptp.restrict Xr X Y))) (forall ((X $$unsorted) (Z $$unsorted)) (or (not (= (tptp.restrict X (tptp.singleton Z) tptp.universal_class) tptp.null_class)) (not (tptp.member Z (tptp.domain_of X))))) (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z tptp.universal_class)) (= (tptp.restrict X (tptp.singleton Z) tptp.universal_class) tptp.null_class) (tptp.member Z (tptp.domain_of X)))) (forall ((X $$unsorted)) (tptp.subclass (tptp.rotate X) (tptp.cross_product (tptp.cross_product tptp.universal_class tptp.universal_class) tptp.universal_class))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair U V) W) (tptp.rotate X))) (tptp.member (tptp.ordered_pair (tptp.ordered_pair V W) U) X))) (forall ((V $$unsorted) (W $$unsorted) (U $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.ordered_pair (tptp.ordered_pair U V) W))) (or (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair V W) U) X)) (not (tptp.member _let_1 (tptp.cross_product (tptp.cross_product tptp.universal_class tptp.universal_class) tptp.universal_class))) (tptp.member _let_1 (tptp.rotate X))))) (forall ((X $$unsorted)) (tptp.subclass (tptp.flip X) (tptp.cross_product (tptp.cross_product tptp.universal_class tptp.universal_class) tptp.universal_class))) (forall ((U $$unsorted) (V $$unsorted) (W $$unsorted) (X $$unsorted)) (or (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair U V) W) (tptp.flip X))) (tptp.member (tptp.ordered_pair (tptp.ordered_pair V U) W) X))) (forall ((V $$unsorted) (U $$unsorted) (W $$unsorted) (X $$unsorted)) (let ((_let_1 (tptp.ordered_pair (tptp.ordered_pair U V) W))) (or (not (tptp.member (tptp.ordered_pair (tptp.ordered_pair V U) W) X)) (not (tptp.member _let_1 (tptp.cross_product (tptp.cross_product tptp.universal_class tptp.universal_class) tptp.universal_class))) (tptp.member _let_1 (tptp.flip X))))) (forall ((Y $$unsorted)) (= (tptp.domain_of (tptp.flip (tptp.cross_product Y tptp.universal_class))) (tptp.inverse Y))) (forall ((Z $$unsorted)) (= (tptp.domain_of (tptp.inverse Z)) (tptp.range_of Z))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.first (tptp.not_subclass_element (tptp.restrict Z X (tptp.singleton Y)) tptp.null_class)) (tptp.domain Z X Y))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (= (tptp.second (tptp.not_subclass_element (tptp.restrict Z (tptp.singleton X) Y) tptp.null_class)) (tptp.range Z X Y))) (forall ((Xr $$unsorted) (X $$unsorted)) (= (tptp.range_of (tptp.restrict Xr X tptp.universal_class)) (tptp.image Xr X))) (forall ((X $$unsorted)) (= (tptp.union X (tptp.singleton X)) (tptp.successor X))) (tptp.subclass tptp.successor_relation _let_5) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X Y) tptp.successor_relation)) (= (tptp.successor X) Y))) (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.ordered_pair X Y))) (or (not (= (tptp.successor X) Y)) (not (tptp.member _let_1 (tptp.cross_product tptp.universal_class tptp.universal_class))) (tptp.member _let_1 tptp.successor_relation)))) _let_9 (forall ((X $$unsorted)) (or (not (tptp.inductive X)) (tptp.subclass (tptp.image tptp.successor_relation X) X))) (forall ((X $$unsorted)) (or (not (tptp.member tptp.null_class X)) (not (tptp.subclass (tptp.image tptp.successor_relation X) X)) (tptp.inductive X))) _let_8 (forall ((Y $$unsorted)) (or (not (tptp.inductive Y)) (tptp.subclass tptp.omega Y))) (tptp.member tptp.omega tptp.universal_class) (forall ((X $$unsorted)) (= (tptp.domain_of (tptp.restrict tptp.element_relation tptp.universal_class X)) (tptp.sum_class X))) (forall ((X $$unsorted)) (or (not (tptp.member X tptp.universal_class)) (tptp.member (tptp.sum_class X) tptp.universal_class))) (forall ((X $$unsorted)) (= (tptp.complement (tptp.image tptp.element_relation (tptp.complement X))) (tptp.power_class X))) (forall ((U $$unsorted)) (or (not (tptp.member U tptp.universal_class)) (tptp.member (tptp.power_class U) tptp.universal_class))) (forall ((Yr $$unsorted) (Xr $$unsorted)) (tptp.subclass (tptp.compose Yr Xr) (tptp.cross_product tptp.universal_class tptp.universal_class))) (forall ((Y $$unsorted) (Z $$unsorted) (Yr $$unsorted) (Xr $$unsorted)) (or (not (tptp.member (tptp.ordered_pair Y Z) (tptp.compose Yr Xr))) (tptp.member Z (tptp.image Yr (tptp.image Xr (tptp.singleton Y)))))) (forall ((Z $$unsorted) (Yr $$unsorted) (Xr $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.ordered_pair Y Z))) (or (not (tptp.member Z (tptp.image Yr (tptp.image Xr (tptp.singleton Y))))) (not (tptp.member _let_1 (tptp.cross_product tptp.universal_class tptp.universal_class))) (tptp.member _let_1 (tptp.compose Yr Xr))))) (forall ((X $$unsorted)) (or (not (tptp.single_valued_class X)) (tptp.subclass (tptp.compose X (tptp.inverse X)) tptp.identity_relation))) (forall ((X $$unsorted)) (or (not (tptp.subclass (tptp.compose X (tptp.inverse X)) tptp.identity_relation)) (tptp.single_valued_class X))) (forall ((Xf $$unsorted)) (or (not (tptp.function Xf)) (tptp.subclass Xf (tptp.cross_product tptp.universal_class tptp.universal_class)))) (forall ((Xf $$unsorted)) (or (not (tptp.function Xf)) (tptp.subclass (tptp.compose Xf (tptp.inverse Xf)) tptp.identity_relation))) (forall ((Xf $$unsorted)) (or (not (tptp.subclass Xf (tptp.cross_product tptp.universal_class tptp.universal_class))) (not (tptp.subclass (tptp.compose Xf (tptp.inverse Xf)) tptp.identity_relation)) (tptp.function Xf))) (forall ((Xf $$unsorted) (X $$unsorted)) (or (not (tptp.function Xf)) (not (tptp.member X tptp.universal_class)) (tptp.member (tptp.image Xf X) tptp.universal_class))) _let_7 _let_6 (forall ((Xf $$unsorted) (Y $$unsorted)) (= (tptp.sum_class (tptp.image Xf (tptp.singleton Y))) (tptp.apply Xf Y))) (tptp.function tptp.choice) (forall ((Y $$unsorted)) (or (not (tptp.member Y tptp.universal_class)) (= Y tptp.null_class) (tptp.member (tptp.apply tptp.choice Y) Y))) (forall ((Xf $$unsorted)) (or (not (tptp.one_to_one Xf)) (tptp.function Xf))) (forall ((Xf $$unsorted)) (or (not (tptp.one_to_one Xf)) (tptp.function (tptp.inverse Xf)))) (forall ((Xf $$unsorted)) (or (not (tptp.function (tptp.inverse Xf))) (not (tptp.function Xf)) (tptp.one_to_one Xf))) (= (tptp.intersection _let_5 (tptp.intersection _let_5 (tptp.complement (tptp.compose _let_4 (tptp.inverse tptp.element_relation))))) tptp.subset_relation) (= (tptp.intersection (tptp.inverse tptp.subset_relation) tptp.subset_relation) tptp.identity_relation) (forall ((Xr $$unsorted)) (= (tptp.complement (tptp.domain_of (tptp.intersection Xr tptp.identity_relation))) (tptp.diagonalise Xr))) (forall ((X $$unsorted)) (= (tptp.intersection (tptp.domain_of X) (tptp.diagonalise (tptp.compose (tptp.inverse tptp.element_relation) X))) (tptp.cantor X))) (forall ((Xf $$unsorted)) (or (not (tptp.operation Xf)) (tptp.function Xf))) (forall ((Xf $$unsorted)) (let ((_let_1 (tptp.domain_of Xf))) (let ((_let_2 (tptp.domain_of _let_1))) (or (not (tptp.operation Xf)) (= (tptp.cross_product _let_2 _let_2) _let_1))))) (forall ((Xf $$unsorted)) (or (not (tptp.operation Xf)) (tptp.subclass (tptp.range_of Xf) (tptp.domain_of (tptp.domain_of Xf))))) (forall ((Xf $$unsorted)) (let ((_let_1 (tptp.domain_of Xf))) (let ((_let_2 (tptp.domain_of _let_1))) (or (not (tptp.function Xf)) (not (= (tptp.cross_product _let_2 _let_2) _let_1)) (not (tptp.subclass (tptp.range_of Xf) _let_2)) (tptp.operation Xf))))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.compatible Xh Xf1 Xf2)) (tptp.function Xh))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.compatible Xh Xf1 Xf2)) (= (tptp.domain_of (tptp.domain_of Xf1)) (tptp.domain_of Xh)))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.compatible Xh Xf1 Xf2)) (tptp.subclass (tptp.range_of Xh) (tptp.domain_of (tptp.domain_of Xf2))))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.function Xh)) (not (= (tptp.domain_of (tptp.domain_of Xf1)) (tptp.domain_of Xh))) (not (tptp.subclass (tptp.range_of Xh) (tptp.domain_of (tptp.domain_of Xf2)))) (tptp.compatible Xh Xf1 Xf2))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.homomorphism Xh Xf1 Xf2)) (tptp.operation Xf1))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.homomorphism Xh Xf1 Xf2)) (tptp.operation Xf2))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted)) (or (not (tptp.homomorphism Xh Xf1 Xf2)) (tptp.compatible Xh Xf1 Xf2))) (forall ((Xh $$unsorted) (Xf1 $$unsorted) (Xf2 $$unsorted) (X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.ordered_pair X Y))) (or (not (tptp.homomorphism Xh Xf1 Xf2)) (not (tptp.member _let_1 (tptp.domain_of Xf1))) (= (tptp.apply Xf2 (tptp.ordered_pair (tptp.apply Xh X) (tptp.apply Xh Y))) (tptp.apply Xh (tptp.apply Xf1 _let_1)))))) (forall ((Xf1 $$unsorted) (Xf2 $$unsorted) (Xh $$unsorted)) (or (not (tptp.operation Xf1)) (not (tptp.operation Xf2)) (not (tptp.compatible Xh Xf1 Xf2)) (tptp.member (tptp.ordered_pair (tptp.not_homomorphism1 Xh Xf1 Xf2) (tptp.not_homomorphism2 Xh Xf1 Xf2)) (tptp.domain_of Xf1)) (tptp.homomorphism Xh Xf1 Xf2))) (forall ((Xf1 $$unsorted) (Xf2 $$unsorted) (Xh $$unsorted)) (let ((_let_1 (tptp.not_homomorphism2 Xh Xf1 Xf2))) (let ((_let_2 (tptp.not_homomorphism1 Xh Xf1 Xf2))) (or (not (tptp.operation Xf1)) (not (tptp.operation Xf2)) (not (tptp.compatible Xh Xf1 Xf2)) (not (= (tptp.apply Xf2 (tptp.ordered_pair (tptp.apply Xh _let_2) (tptp.apply Xh _let_1))) (tptp.apply Xh (tptp.apply Xf1 (tptp.ordered_pair _let_2 _let_1))))) (tptp.homomorphism Xh Xf1 Xf2))))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X Y) (tptp.cross_product U V))) (tptp.member X (tptp.unordered_pair X Y)))) (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted) (V $$unsorted)) (or (not (tptp.member (tptp.ordered_pair X Y) (tptp.cross_product U V))) (tptp.member Y (tptp.unordered_pair X Y)))) (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y))) (tptp.member U tptp.universal_class))) (forall ((U $$unsorted) (V $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member (tptp.ordered_pair U V) (tptp.cross_product X Y))) (tptp.member V tptp.universal_class))) (forall ((X $$unsorted)) (tptp.subclass X X)) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.subclass X Y)) (not (tptp.subclass Y Z)) (tptp.subclass X Z))) (forall ((X $$unsorted) (Y $$unsorted)) (or (= X Y) (tptp.member (tptp.not_subclass_element X Y) X) (tptp.member (tptp.not_subclass_element Y X) Y))) _let_3 (forall ((Y $$unsorted) (X $$unsorted)) (or (not (tptp.member (tptp.not_subclass_element Y X) X)) (= X Y) (tptp.member (tptp.not_subclass_element X Y) X))) _let_2 (forall ((Y $$unsorted) (X $$unsorted)) (not (tptp.member Y (tptp.intersection (tptp.complement X) X)))) _let_1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 14.30/14.47 )
% 14.30/14.48 % SZS output end Proof for SET061-7
% 14.30/14.48 % cvc5---1.0.5 exiting
% 14.30/14.48 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------