TSTP Solution File: SET012-2 by cvc5---1.0.5
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- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET012-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n017.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 14:36:41 EDT 2023
% Result : Unsatisfiable 0.21s 0.63s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SET012-2 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.14 % Command : do_cvc5 %s %d
% 0.15/0.35 % Computer : n017.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 15:10:26 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.YCHG9PQlZL/cvc5---1.0.5_8415.p...
% 0.21/0.51 ------- get file name : TPTP file name is SET012-2
% 0.21/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_8415.smt2...
% 0.21/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.21/0.63 % SZS status Unsatisfiable for SET012-2
% 0.21/0.63 % SZS output start Proof for SET012-2
% 0.21/0.63 (
% 0.21/0.63 (let ((_let_1 (tptp.equal_sets tptp.a tptp.c))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.complement tptp.b))) (let ((_let_4 (tptp.equal_sets _let_3 tptp.c))) (let ((_let_5 (tptp.complement tptp.a))) (let ((_let_6 (tptp.equal_sets _let_5 tptp.b))) (let ((_let_7 (forall ((Set1 $$unsorted) (Set2 $$unsorted)) (or (not (tptp.subset Set1 Set2)) (not (tptp.subset Set2 Set1)) (tptp.equal_sets Set2 Set1))))) (let ((_let_8 (forall ((Superset $$unsorted) (Subset $$unsorted)) (or (not (tptp.equal_sets Superset Subset)) (tptp.subset Subset Superset))))) (let ((_let_9 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.equal_sets Subset Superset)) (tptp.subset Subset Superset))))) (let ((_let_10 (forall ((X $$unsorted) (Xs $$unsorted)) (or (not (tptp.member X Xs)) (not (tptp.member X (tptp.complement Xs))))))) (let ((_let_11 (forall ((X $$unsorted) (Xs $$unsorted)) (or (tptp.member X Xs) (tptp.member X (tptp.complement Xs)))))) (let ((_let_12 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Superset)) (tptp.subset Subset Superset))))) (let ((_let_13 (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (tptp.subset Subset Superset) (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Subset))))) (let ((_let_14 (forall ((Element $$unsorted) (Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member Element Subset)) (not (tptp.subset Subset Superset)) (tptp.member Element Superset))))) (let ((_let_15 (tptp.member_of_1_not_of_2 tptp.a _let_3))) (let ((_let_16 (tptp.member _let_15 _let_5))) (let ((_let_17 (not _let_16))) (let ((_let_18 (tptp.member _let_15 tptp.a))) (let ((_let_19 (not _let_18))) (let ((_let_20 (or _let_19 _let_17))) (let ((_let_21 (_let_10))) (let ((_let_22 (ASSUME :args _let_21))) (let ((_let_23 (not _let_20))) (let ((_let_24 (tptp.subset tptp.b _let_5))) (let ((_let_25 (not _let_24))) (let ((_let_26 (tptp.member _let_15 tptp.b))) (let ((_let_27 (not _let_26))) (let ((_let_28 (or _let_27 _let_25 _let_16))) (let ((_let_29 (_let_14))) (let ((_let_30 (ASSUME :args _let_29))) (let ((_let_31 (not (= (tptp.subset Subset Superset) false)))) (let ((_let_32 (_let_31 (not (= (tptp.member Element Superset) true))))) (let ((_let_33 (tptp.member _let_15 _let_3))) (let ((_let_34 (or _let_26 _let_33))) (let ((_let_35 (_let_11))) (let ((_let_36 (ASSUME :args _let_35))) (let ((_let_37 ((not (= (tptp.member X (tptp.complement Xs)) true))))) (let ((_let_38 (tptp.subset tptp.a _let_3))) (let ((_let_39 (not _let_33))) (let ((_let_40 (or _let_39 _let_38))) (let ((_let_41 (_let_12))) (let ((_let_42 (ASSUME :args _let_41))) (let ((_let_43 ((not (= (tptp.subset Subset Superset) true))))) (let ((_let_44 (tptp.subset tptp.a tptp.c))) (let ((_let_45 (not _let_38))) (let ((_let_46 (not _let_44))) (let ((_let_47 (tptp.subset tptp.c tptp.a))) (let ((_let_48 (not _let_47))) (let ((_let_49 (or _let_48 _let_46 _let_1))) (let ((_let_50 (_let_7))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 (tptp.member_of_1_not_of_2 tptp.c tptp.a))) (let ((_let_53 (tptp.member _let_52 tptp.c))) (let ((_let_54 (or _let_47 _let_53))) (let ((_let_55 (tptp.member _let_52 tptp.a))) (let ((_let_56 (not _let_55))) (let ((_let_57 (or _let_56 _let_47))) (let ((_let_58 (tptp.subset tptp.c _let_3))) (let ((_let_59 (tptp.member _let_52 _let_3))) (let ((_let_60 (not _let_58))) (let ((_let_61 (not _let_53))) (let ((_let_62 (or _let_61 _let_60 _let_59))) (let ((_let_63 (tptp.member _let_52 _let_5))) (let ((_let_64 (or _let_55 _let_63))) (let ((_let_65 (not _let_59))) (let ((_let_66 (tptp.member _let_52 tptp.b))) (let ((_let_67 (not _let_66))) (let ((_let_68 (or _let_67 _let_65))) (let ((_let_69 (tptp.subset _let_5 tptp.b))) (let ((_let_70 (not _let_69))) (let ((_let_71 (not _let_63))) (let ((_let_72 (or _let_71 _let_70 _let_66))) (let ((_let_73 (_let_13))) (let ((_let_74 (ASSUME :args _let_73))) (let ((_let_75 ((not (= (tptp.subset Subset Superset) true))))) (let ((_let_76 (not _let_4))) (let ((_let_77 (or _let_76 _let_58))) (let ((_let_78 (_let_8))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((not (= (tptp.equal_sets Superset Subset) false))))) (let ((_let_81 (ASSUME :args (_let_4)))) (let ((_let_82 ((not (= (tptp.member X (tptp.complement Xs)) false))))) (let ((_let_83 (not _let_6))) (let ((_let_84 (or _let_83 _let_69))) (let ((_let_85 (_let_9))) (let ((_let_86 (ASSUME :args _let_85))) (let ((_let_87 ((not (= (tptp.equal_sets Subset Superset) false))))) (let ((_let_88 (ASSUME :args (_let_6)))) (let ((_let_89 (tptp.member_of_1_not_of_2 tptp.a tptp.c))) (let ((_let_90 (tptp.member _let_89 tptp.a))) (let ((_let_91 (or _let_44 _let_90))) (let ((_let_92 (tptp.member _let_89 tptp.c))) (let ((_let_93 (not _let_92))) (let ((_let_94 (or _let_93 _let_44))) (let ((_let_95 (tptp.member _let_89 _let_3))) (let ((_let_96 (not _let_90))) (let ((_let_97 (or _let_96 _let_45 _let_95))) (let ((_let_98 (tptp.subset _let_3 tptp.c))) (let ((_let_99 (not _let_98))) (let ((_let_100 (not _let_95))) (let ((_let_101 (or _let_100 _let_99 _let_92))) (let ((_let_102 (or _let_76 _let_98))) (let ((_let_103 (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_101)) :args ((or _let_99 _let_92 _let_100 (not _let_101)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_89 _let_3 tptp.c QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_29)) _let_30 :args (_let_101 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_102)) :args ((or _let_76 _let_98 (not _let_102)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_3 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_102 false _let_9)) :args (_let_98 false _let_4 false _let_102)) (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_96 _let_45 _let_95 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_89 tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_29)) _let_30 :args (_let_97 false _let_14)) (REORDERING (CNF_OR_POS :args (_let_94)) :args ((or _let_44 _let_93 (not _let_94)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_94 false _let_12)) (REORDERING (CNF_OR_POS :args (_let_91)) :args ((or _let_44 _let_90 (not _let_91)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_91 false _let_13)) :args ((or _let_44 _let_45) false _let_101 false _let_98 false _let_95 false _let_97 true _let_92 false _let_94 false _let_90 false _let_91)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_1 _let_48 _let_46 (not _let_49)))) (ASSUME :args (_let_2)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_72)) :args ((or _let_70 _let_66 _let_71 (not _let_72)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_52 _let_5 tptp.b QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_29)) _let_30 :args (_let_72 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_84)) :args ((or _let_83 _let_69 (not _let_84)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_86 :args (_let_5 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_87)) :args _let_85)) _let_86 :args (_let_84 false _let_9)) :args (_let_69 false _let_6 false _let_84)) (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_65 _let_67 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_52 tptp.b QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_21)) _let_22 :args (_let_68 false _let_10)) (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_55 _let_63 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_52 tptp.a QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_64 false _let_11)) (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_60 _let_61 _let_59 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_52 tptp.c _let_3 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Element Subset) false)) _let_31))) :args _let_29)) _let_30 :args (_let_62 false _let_14)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_76 _let_58 (not _let_77)))) _let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_3 tptp.c QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_77 false _let_8)) :args (_let_58 false _let_4 false _let_77)) (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_47 _let_56 (not _let_57)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_57 false _let_12)) (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_47 _let_53 (not _let_54)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_54 false _let_13)) :args (_let_47 false _let_72 false _let_69 true _let_66 false _let_68 false _let_63 false _let_64 false _let_59 false _let_62 false _let_58 true _let_55 false _let_57 false _let_53 false _let_54)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.c tptp.a QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.equal_sets Set2 Set1) true))))) :args _let_50)) _let_51 :args (_let_49 false _let_7)) :args (_let_46 true _let_1 false _let_47 false _let_49)) :args (_let_45 true _let_44)))) (let ((_let_104 (or _let_83 _let_24))) (let ((_let_105 (or _let_38 _let_18))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_22 :args (_let_15 tptp.a QUANTIFIERS_INST_E_MATCHING _let_82)) :args _let_21)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_20)) :args ((or _let_19 _let_17 _let_23))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_105)) :args ((or _let_38 _let_18 (not _let_105)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_74 :args (tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_75)) :args _let_73)) _let_74 :args (_let_105 false _let_13)) :args (_let_18 true _let_38 false _let_105)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_28)) :args ((or _let_25 _let_27 _let_16 (not _let_28)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_104)) :args ((or _let_83 _let_24 (not _let_104)))) _let_88 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_5 tptp.b QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_80)) :args _let_78)) _let_79 :args (_let_104 false _let_8)) :args (_let_24 false _let_6 false _let_104)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_34)) :args ((or _let_33 _let_26 (not _let_34)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_38 _let_39 (not _let_40)))) _let_103 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_42 :args (tptp.a _let_3 QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_43)) :args _let_41)) _let_42 :args (_let_40 false _let_12)) :args (_let_39 true _let_38 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_36 :args (_let_15 tptp.b QUANTIFIERS_INST_E_MATCHING _let_37)) :args _let_35)) _let_36 :args (_let_34 false _let_11)) :args (_let_26 true _let_33 false _let_34)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_30 :args (_let_15 tptp.b _let_5 QUANTIFIERS_INST_E_MATCHING _let_32)) :args _let_29)) _let_30 :args (_let_28 false _let_14)) :args (_let_16 false _let_24 false _let_26 false _let_28)) :args (_let_23 false _let_18 false _let_16)) _let_22 :args (false true _let_20 false _let_10)) :args ((forall ((X $$unsorted)) (not (tptp.member X tptp.empty_set))) _let_14 _let_13 _let_12 _let_11 _let_10 (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X Xs)) (tptp.member X (tptp.union Xs Ys)))) (forall ((X $$unsorted) (Ys $$unsorted) (Xs $$unsorted)) (or (not (tptp.member X Ys)) (tptp.member X (tptp.union Xs Ys)))) (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X (tptp.union Xs Ys))) (tptp.member X Xs) (tptp.member X Ys))) (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X Xs)) (not (tptp.member X Ys)) (tptp.member X (tptp.intersection Xs Ys)))) (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X (tptp.intersection Xs Ys))) (tptp.member X Xs))) (forall ((X $$unsorted) (Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.member X (tptp.intersection Xs Ys))) (tptp.member X Ys))) _let_9 _let_8 _let_7 (forall ((Xs $$unsorted)) (tptp.equal_sets Xs Xs)) (forall ((Xs $$unsorted) (Ys $$unsorted)) (or (not (tptp.equal_sets Xs Ys)) (tptp.equal_sets Ys Xs))) (forall ((Xs $$unsorted) (Ys $$unsorted) (Zs $$unsorted)) (or (not (tptp.equal_sets Xs Ys)) (not (tptp.equal_sets Ys Zs)) (tptp.equal_sets Xs Zs))) (forall ((X $$unsorted)) (tptp.equal_elements X X)) (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.equal_elements X Y)) (tptp.equal_elements Y X))) (forall ((X $$unsorted) (Y $$unsorted) (Z $$unsorted)) (or (not (tptp.equal_elements X Y)) (not (tptp.equal_elements Y Z)) (tptp.equal_elements X Z))) _let_6 _let_4 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.21/0.63 )
% 0.21/0.63 % SZS output end Proof for SET012-2
% 0.21/0.63 % cvc5---1.0.5 exiting
% 0.21/0.63 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------