TSTP Solution File: SET015-4 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET015-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n012.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 14:36:46 EDT 2023
% Result : Unsatisfiable 10.03s 10.39s
% Output : Proof 10.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SET015-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Sat Aug 26 14:11:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.49 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.50 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.Weh4yElQlq/cvc5---1.0.5_14615.p...
% 0.20/0.50 ------- get file name : TPTP file name is SET015-4
% 0.20/0.51 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_14615.smt2...
% 0.20/0.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 10.03/10.39 % SZS status Unsatisfiable for SET015-4
% 10.03/10.39 % SZS output start Proof for SET015-4
% 10.03/10.39 (
% 10.03/10.39 (let ((_let_1 (= tptp.cs tptp.ds))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.union tptp.bs tptp.as))) (let ((_let_4 (= _let_3 tptp.ds))) (let ((_let_5 (tptp.union tptp.as tptp.bs))) (let ((_let_6 (= _let_5 tptp.cs))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.union X Y) (tptp.complement (tptp.intersection (tptp.complement X) (tptp.complement Y))))))) (let ((_let_8 (forall ((Z $$unsorted) (X $$unsorted)) (or (tptp.member Z (tptp.complement X)) (not (tptp.little_set Z)) (tptp.member Z X))))) (let ((_let_9 (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.complement X))) (not (tptp.member Z X)))))) (let ((_let_10 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (tptp.member Z (tptp.intersection X Y)) (not (tptp.member Z X)) (not (tptp.member Z Y)))))) (let ((_let_11 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.intersection X Y))) (tptp.member Z Y))))) (let ((_let_12 (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.intersection X Y))) (tptp.member Z X))))) (let ((_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (not (tptp.member _let_1 X)) (not (tptp.member _let_1 Y)) (= X Y)))))) (let ((_let_14 (forall ((X $$unsorted) (Y $$unsorted)) (let ((_let_1 (tptp.f1 X Y))) (or (tptp.member _let_1 X) (tptp.member _let_1 Y) (= X Y)))))) (let ((_let_15 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.little_set (tptp.f1 X Y)) (= X Y))))) (let ((_let_16 (tptp.complement tptp.bs))) (let ((_let_17 (tptp.complement tptp.as))) (let ((_let_18 (tptp.intersection _let_17 _let_16))) (let ((_let_19 (tptp.intersection _let_16 _let_17))) (let ((_let_20 (tptp.complement _let_19))) (let ((_let_21 (tptp.complement _let_18))) (let ((_let_22 (tptp.f1 _let_21 _let_20))) (let ((_let_23 (tptp.member _let_22 _let_18))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.member _let_22 _let_21))) (let ((_let_26 (not _let_25))) (let ((_let_27 (or _let_26 _let_24))) (let ((_let_28 (_let_9))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((not (= (tptp.member Z (tptp.complement X)) false))))) (let ((_let_31 (= _let_21 _let_20))) (let ((_let_32 (tptp.member _let_22 _let_20))) (let ((_let_33 (or _let_25 _let_32 _let_31))) (let ((_let_34 (_let_14))) (let ((_let_35 (ASSUME :args _let_34))) (let ((_let_36 (_let_21 _let_20 QUANTIFIERS_INST_ENUM))) (let ((_let_37 (tptp.member _let_22 _let_19))) (let ((_let_38 (not _let_37))) (let ((_let_39 (not _let_32))) (let ((_let_40 (or _let_39 _let_38))) (let ((_let_41 (tptp.little_set _let_22))) (let ((_let_42 (not _let_41))) (let ((_let_43 (or _let_32 _let_42 _let_37))) (let ((_let_44 (tptp.member _let_22 _let_17))) (let ((_let_45 (not _let_44))) (let ((_let_46 (tptp.member _let_22 _let_16))) (let ((_let_47 (not _let_46))) (let ((_let_48 (or _let_37 _let_47 _let_45))) (let ((_let_49 (or _let_26 _let_39 _let_31))) (let ((_let_50 (or _let_24 _let_46))) (let ((_let_51 (or _let_25 _let_42 _let_23))) (let ((_let_52 (or _let_41 _let_31))) (let ((_let_53 (_let_15))) (let ((_let_54 (ASSUME :args _let_53))) (let ((_let_55 (= _let_3 _let_20))) (let ((_let_56 (= _let_5 _let_21))) (let ((_let_57 (= tptp.ds _let_3))) (let ((_let_58 (= tptp.cs _let_5))) (let ((_let_59 (not _let_31))) (let ((_let_60 (_let_7))) (let ((_let_61 (ASSUME :args _let_60))) (let ((_let_62 ((tptp.union X Y)))) (let ((_let_63 (SYMM (ASSUME :args (_let_4))))) (let ((_let_64 (SYMM (ASSUME :args (_let_6))))) (let ((_let_65 (ASSUME :args (_let_2)))) (let ((_let_66 (and _let_2 _let_58 _let_57 _let_56 _let_55))) (let ((_let_67 (ASSUME :args (_let_55)))) (let ((_let_68 (ASSUME :args (_let_56)))) (let ((_let_69 (MACRO_RESOLUTION_TRUST (EQ_RESOLVE (RESOLUTION (CNF_AND_NEG :args (_let_66)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_64 _let_68 _let_65 _let_63 _let_67) (SCOPE (FALSE_ELIM (TRANS (CONG (TRANS (SYMM _let_68) (SYMM _let_64)) (TRANS (SYMM _let_67) (SYMM _let_63)) :args (=)) (FALSE_INTRO _let_65))) :args (_let_58 _let_56 _let_2 _let_57 _let_55))) :args (_let_2 _let_58 _let_57 _let_56 _let_55))) :args (true _let_66)) (CONG (MACRO_SR_PRED_INTRO :args ((= (not _let_2) _let_1))) (REFL :args ((not _let_58))) (REFL :args ((not _let_57))) (REFL :args ((not _let_56))) (REFL :args ((not _let_55))) (REFL :args (_let_59)) :args (or))) _let_65 _let_64 _let_63 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.as tptp.bs QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_56 false _let_7)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_61 :args (tptp.bs tptp.as QUANTIFIERS_INST_E_MATCHING_SIMPLE _let_62)) :args _let_60)) _let_61 :args (_let_55 false _let_7)) :args (_let_59 true _let_1 false _let_58 false _let_57 false _let_56 false _let_55)))) (let ((_let_70 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_41 _let_31 (not _let_52)))) _let_69 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_54 :args _let_36) :args _let_53)) _let_54 :args (_let_52 false _let_15)) :args (_let_41 true _let_31 false _let_52)))) (let ((_let_71 (_let_8))) (let ((_let_72 (ASSUME :args _let_71))) (let ((_let_73 ((not (= (tptp.member Z (tptp.complement X)) true))))) (let ((_let_74 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_22 _let_19 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_43 false _let_8)))) (let ((_let_75 (REORDERING (CNF_OR_POS :args (_let_43)) :args ((or _let_32 _let_42 _let_37 (not _let_43)))))) (let ((_let_76 (or _let_38 _let_44))) (let ((_let_77 (or _let_24 _let_44))) (let ((_let_78 (_let_11))) (let ((_let_79 (ASSUME :args _let_78))) (let ((_let_80 ((not (= (tptp.member Z (tptp.intersection X Y)) false))))) (let ((_let_81 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_22 _let_16 _let_17 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_78)) _let_79 :args (_let_76 false _let_11)))) (let ((_let_82 (REORDERING (CNF_OR_POS :args (_let_76)) :args ((or _let_38 _let_44 (not _let_76)))))) (let ((_let_83 (_let_12))) (let ((_let_84 (ASSUME :args _let_83))) (let ((_let_85 ((not (= (tptp.member Z (tptp.intersection X Y)) false))))) (let ((_let_86 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_72 :args (_let_22 _let_18 QUANTIFIERS_INST_E_MATCHING _let_73)) :args _let_71)) _let_72 :args (_let_51 false _let_8)))) (let ((_let_87 (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_25 _let_42 _let_23 (not _let_51)))))) (let ((_let_88 (_let_13))) (let ((_let_89 (ASSUME :args _let_88))) (let ((_let_90 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_89 :args _let_36) :args _let_88)) _let_89 :args (_let_49 false _let_13)))) (let ((_let_91 (REORDERING (CNF_OR_POS :args (_let_49)) :args ((or _let_31 _let_26 _let_39 (not _let_49)))))) (let ((_let_92 (_let_10))) (let ((_let_93 (ASSUME :args _let_92))) (let ((_let_94 ((not (= (tptp.member Z (tptp.intersection X Y)) true))))) (let ((_let_95 (MACRO_RESOLUTION_TRUST _let_87 _let_86 _let_70 (REORDERING (CNF_OR_POS :args (_let_50)) :args ((or _let_46 _let_24 (not _let_50)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_79 :args (_let_22 _let_17 _let_16 QUANTIFIERS_INST_E_MATCHING _let_80)) :args _let_78)) _let_79 :args (_let_50 false _let_11)) _let_91 _let_90 _let_69 (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_37 _let_47 _let_45 (not _let_48)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_22 _let_16 _let_17 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_48 false _let_10)) (MACRO_RESOLUTION_TRUST _let_91 _let_90 _let_69 _let_87 _let_86 _let_70 _let_75 _let_74 _let_70 (REORDERING (CNF_OR_POS :args (_let_77)) :args ((or _let_24 _let_44 (not _let_77)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_22 _let_17 _let_16 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_77 false _let_12)) _let_82 _let_81 :args (_let_44 false _let_49 true _let_31 false _let_25 false _let_51 false _let_41 false _let_32 false _let_43 false _let_41 true _let_23 false _let_77 true _let_37 false _let_76)) _let_75 _let_74 _let_70 :args (_let_37 false _let_51 false _let_41 true _let_23 false _let_50 true _let_25 false _let_49 true _let_31 true _let_46 false _let_48 false _let_44 false _let_32 false _let_43 false _let_41)))) (let ((_let_96 (or _let_38 _let_46))) (let ((_let_97 (or _let_23 _let_45 _let_47))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_26 _let_24 (not _let_27)))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST _let_75 _let_74 _let_70 _let_82 _let_81 _let_91 _let_90 _let_69 (REORDERING (CNF_OR_POS :args (_let_97)) :args ((or _let_23 _let_47 _let_45 (not _let_97)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_93 :args (_let_22 _let_17 _let_16 QUANTIFIERS_INST_E_MATCHING _let_94)) :args _let_92)) _let_93 :args (_let_97 false _let_10)) _let_87 _let_86 _let_70 :args ((or _let_23 _let_47) false _let_43 false _let_41 true _let_37 false _let_76 true _let_32 false _let_49 true _let_31 true _let_44 false _let_97 false _let_25 false _let_51 false _let_41)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_96)) :args ((or _let_38 _let_46 (not _let_96)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_84 :args (_let_22 _let_16 _let_17 QUANTIFIERS_INST_E_MATCHING _let_85)) :args _let_83)) _let_84 :args (_let_96 false _let_12)) :args (_let_46 false _let_37 false _let_96)) :args (_let_23 false _let_46)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_33)) :args ((or _let_31 _let_25 _let_32 (not _let_33)))) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_40)) :args ((or _let_39 _let_38 (not _let_40)))) _let_95 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_22 _let_19 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_40 false _let_9)) :args (_let_39 false _let_37 false _let_40)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_35 :args _let_36) :args _let_34)) _let_35 :args (_let_33 false _let_14)) :args (_let_25 true _let_31 true _let_32 false _let_33)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_22 _let_18 QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_27 false _let_9)) :args (false false _let_23 false _let_25 false _let_27)) :args ((forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X Y)) (tptp.little_set X))) _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((Z $$unsorted)) (not (tptp.member Z tptp.empty_set))) (forall ((Z $$unsorted)) (or (tptp.member Z tptp.universal_set) (not (tptp.little_set Z)))) _let_6 _let_4 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 10.03/10.39 )
% 10.03/10.40 % SZS output end Proof for SET015-4
% 10.03/10.40 % cvc5---1.0.5 exiting
% 10.03/10.41 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------