TSTP Solution File: SET014-4 by cvc5---1.0.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET014-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n018.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 14:36:44 EDT 2023
% Result : Unsatisfiable 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET014-4 : TPTP v8.1.2. Bugfixed v1.2.1.
% 0.00/0.13 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Aug 26 11:21:00 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.20/0.48 ------- convert to smt2 : /export/starexec/sandbox2/tmp/tmp.hKhdlpFEIO/cvc5---1.0.5_13836.p...
% 0.20/0.49 ------- get file name : TPTP file name is SET014-4
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_13836.smt2...
% 0.20/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.53 % SZS status Unsatisfiable for SET014-4
% 0.20/0.53 % SZS output start Proof for SET014-4
% 0.20/0.54 (
% 0.20/0.54 (let ((_let_1 (tptp.union tptp.as tptp.bs))) (let ((_let_2 (tptp.subset _let_1 tptp.cs))) (let ((_let_3 (not _let_2))) (let ((_let_4 (tptp.subset tptp.bs tptp.cs))) (let ((_let_5 (tptp.subset tptp.as tptp.cs))) (let ((_let_6 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.subset X Y) (not (tptp.member (tptp.f17 X Y) Y)))))) (let ((_let_7 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.subset X Y) (tptp.member (tptp.f17 X Y) X))))) (let ((_let_8 (forall ((X $$unsorted) (Y $$unsorted) (U $$unsorted)) (or (not (tptp.subset X Y)) (not (tptp.member U X)) (tptp.member U Y))))) (let ((_let_9 (forall ((X $$unsorted) (Y $$unsorted)) (= (tptp.union X Y) (tptp.complement (tptp.intersection (tptp.complement X) (tptp.complement Y))))))) (let ((_let_10 (forall ((Z $$unsorted) (X $$unsorted)) (or (tptp.member Z (tptp.complement X)) (not (tptp.little_set Z)) (tptp.member Z X))))) (let ((_let_11 (forall ((Z $$unsorted) (X $$unsorted)) (or (not (tptp.member Z (tptp.complement X))) (not (tptp.member Z X)))))) (let ((_let_12 (forall ((Z $$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_13 (forall ((X $$unsorted) (Y $$unsorted)) (or (not (tptp.member X Y)) (tptp.little_set X))))) (let ((_let_14 (tptp.f17 _let_1 tptp.cs))) (let ((_let_15 (tptp.member _let_14 tptp.cs))) (let ((_let_16 (tptp.member _let_14 tptp.bs))) (let ((_let_17 (not _let_16))) (let ((_let_18 (not _let_4))) (let ((_let_19 (or _let_18 _let_17 _let_15))) (let ((_let_20 (_let_8))) (let ((_let_21 (ASSUME :args _let_20))) (let ((_let_22 (not _let_19))) (let ((_let_23 (tptp.little_set _let_14))) (let ((_let_24 (not _let_23))) (let ((_let_25 (tptp.complement tptp.bs))) (let ((_let_26 (tptp.member _let_14 _let_25))) (let ((_let_27 (or _let_26 _let_24 _let_16))) (let ((_let_28 (_let_10))) (let ((_let_29 (ASSUME :args _let_28))) (let ((_let_30 ((not (= (tptp.member Z (tptp.complement X)) true))))) (let ((_let_31 (not _let_26))) (let ((_let_32 (tptp.complement tptp.as))) (let ((_let_33 (tptp.member _let_14 _let_32))) (let ((_let_34 (not _let_33))) (let ((_let_35 (tptp.intersection _let_32 _let_25))) (let ((_let_36 (tptp.member _let_14 _let_35))) (let ((_let_37 (or _let_36 _let_34 _let_31))) (let ((_let_38 (_let_12))) (let ((_let_39 (ASSUME :args _let_38))) (let ((_let_40 (tptp.member _let_14 tptp.as))) (let ((_let_41 (or _let_33 _let_24 _let_40))) (let ((_let_42 (not _let_40))) (let ((_let_43 (not _let_5))) (let ((_let_44 (or _let_43 _let_42 _let_15))) (let ((_let_45 (not (= (tptp.member U Y) true)))) (let ((_let_46 (not _let_15))) (let ((_let_47 (or _let_2 _let_46))) (let ((_let_48 (_let_6))) (let ((_let_49 (ASSUME :args _let_48))) (let ((_let_50 (ASSUME :args (_let_3)))) (let ((_let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_2 _let_46 (not _let_47)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_49 :args (_let_1 tptp.cs QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset X Y) true))))) :args _let_48)) _let_49 :args (_let_47 false _let_6)) :args (_let_46 true _let_2 false _let_47)))) (let ((_let_52 (tptp.member _let_14 _let_1))) (let ((_let_53 (not _let_52))) (let ((_let_54 (or _let_53 _let_23))) (let ((_let_55 (_let_13))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (or _let_2 _let_52))) (let ((_let_58 (_let_7))) (let ((_let_59 (ASSUME :args _let_58))) (let ((_let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_57)) :args ((or _let_2 _let_52 (not _let_57)))) _let_50 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_59 :args (_let_1 tptp.cs QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.subset X Y) true))))) :args _let_58)) _let_59 :args (_let_57 false _let_7)) :args (_let_52 true _let_2 false _let_57)))) (let ((_let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_54)) :args ((or _let_53 _let_23 (not _let_54)))) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (_let_14 _let_1 QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.member X Y) false))))) :args _let_55)) _let_56 :args (_let_54 false _let_13)) :args (_let_23 false _let_52 false _let_54)))) (let ((_let_62 (not _let_36))) (let ((_let_63 (tptp.complement _let_35))) (let ((_let_64 (tptp.member _let_14 _let_63))) (let ((_let_65 (not _let_64))) (let ((_let_66 (or _let_65 _let_62))) (let ((_let_67 (_let_11))) (let ((_let_68 (ASSUME :args _let_67))) (let ((_let_69 (= _let_1 _let_63))) (let ((_let_70 (_let_9))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (and _let_69 _let_52))) (let ((_let_73 (ASSUME :args (_let_52)))) (let ((_let_74 (ASSUME :args (_let_69)))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.bs tptp.cs _let_14 QUANTIFIERS_INST_E_MATCHING (_let_45 (not (= (tptp.subset X Y) false))))) :args _let_20)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_19)) :args ((or _let_18 _let_15 _let_17 _let_22))) (ASSUME :args (_let_4)) _let_51 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_27)) :args ((or _let_24 _let_26 _let_16 (not _let_27)))) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_34 _let_31 (not _let_37)))) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_65 _let_62 (not _let_66)))) (MACRO_RESOLUTION_TRUST (RESOLUTION (CNF_AND_NEG :args (_let_72)) (IMPLIES_ELIM (SCOPE (MODUS_PONENS (AND_INTRO _let_73 _let_74) (SCOPE (TRUE_ELIM (TRANS (CONG (REFL :args (_let_14)) (SYMM _let_74) :args (APPLY_UF tptp.member)) (TRUE_INTRO _let_73))) :args (_let_52 _let_69))) :args (_let_69 _let_52))) :args (true _let_72)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.as tptp.bs QUANTIFIERS_INST_E_MATCHING_SIMPLE ((tptp.union X Y)))) :args _let_70)) _let_71 :args (_let_69 false _let_9)) _let_60 :args (_let_64 false _let_69 false _let_52)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_68 :args (_let_14 _let_35 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Z (tptp.complement X)) false))))) :args _let_67)) _let_68 :args (_let_66 false _let_11)) :args (_let_62 false _let_64 false _let_66)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_24 _let_33 _let_40 (not _let_41)))) _let_61 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_44)) :args ((or _let_43 _let_15 _let_42 (not _let_44)))) (ASSUME :args (_let_5)) _let_51 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_21 :args (tptp.as tptp.cs _let_14 QUANTIFIERS_INST_E_MATCHING (_let_45 (not (= (tptp.member U X) false))))) :args _let_20)) _let_21 :args (_let_44 false _let_8)) :args (_let_42 false _let_5 true _let_15 false _let_44)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_14 tptp.as QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_41 false _let_10)) :args (_let_33 false _let_23 true _let_40 false _let_41)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_39 :args (_let_14 _let_32 _let_25 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Z (tptp.intersection X Y)) true))))) :args _let_38)) _let_39 :args (_let_37 false _let_12)) :args (_let_31 true _let_36 false _let_33 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_29 :args (_let_14 tptp.bs QUANTIFIERS_INST_E_MATCHING _let_30)) :args _let_28)) _let_29 :args (_let_27 false _let_10)) :args (_let_16 false _let_23 true _let_26 false _let_27)) :args (_let_22 false _let_4 true _let_15 false _let_16)) _let_21 :args (false true _let_19 false _let_8)) :args (_let_13 (forall ((X $$unsorted) (Y $$unsorted)) (or (tptp.little_set (tptp.f1 X Y)) (= X Y))) (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)))) (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)))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.intersection X Y))) (tptp.member Z X))) (forall ((Z $$unsorted) (X $$unsorted) (Y $$unsorted)) (or (not (tptp.member Z (tptp.intersection X Y))) (tptp.member Z Y))) _let_12 _let_11 _let_10 _let_9 (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_8 _let_7 _let_6 _let_5 _let_4 _let_3)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.54 )
% 0.20/0.54 % SZS output end Proof for SET014-4
% 0.20/0.54 % cvc5---1.0.5 exiting
% 0.20/0.54 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------