TSTP Solution File: SET007-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET007-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : do_cvc5 %s %d
% Computer : n013.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 14:36:38 EDT 2023
% Result : Unsatisfiable 1.05s 1.43s
% Output : Proof 1.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET007-1 : TPTP v8.1.2. Released v1.0.0.
% 0.00/0.14 % Command : do_cvc5 %s %d
% 0.14/0.35 % Computer : n013.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 09:51:02 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 %----Proving TF0_NAR, FOF, or CNF
% 0.21/0.48 ------- convert to smt2 : /export/starexec/sandbox/tmp/tmp.dYIFMhIcdS/cvc5---1.0.5_25859.p...
% 0.21/0.49 ------- get file name : TPTP file name is SET007-1
% 0.21/0.49 ------- cvc5-fof : /export/starexec/sandbox/solver/bin/cvc5---1.0.5_25859.smt2...
% 0.21/0.49 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 1.05/1.43 % SZS status Unsatisfiable for SET007-1
% 1.05/1.43 % SZS output start Proof for SET007-1
% 1.05/1.44 (
% 1.05/1.44 (let ((_let_1 (tptp.union tptp.aIb tptp.aIc tptp.aI_bUc))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.intersection tptp.a tptp.bUc tptp.aI_bUc))) (let ((_let_4 (tptp.intersection tptp.a tptp.c tptp.aIc))) (let ((_let_5 (tptp.intersection tptp.a tptp.b tptp.aIb))) (let ((_let_6 (tptp.union tptp.b tptp.c tptp.bUc))) (let ((_let_7 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted) (Element $$unsorted)) (or (not (tptp.intersection Set1 Set2 Intersection)) (not (tptp.member Element Set2)) (not (tptp.member Element Set1)) (tptp.member Element Intersection))))) (let ((_let_8 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted) (Element $$unsorted)) (or (not (tptp.intersection Set1 Set2 Intersection)) (not (tptp.member Element Intersection)) (tptp.member Element Set2))))) (let ((_let_9 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted) (Element $$unsorted)) (or (not (tptp.intersection Set1 Set2 Intersection)) (not (tptp.member Element Intersection)) (tptp.member Element Set1))))) (let ((_let_10 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted)) (let ((_let_1 (tptp.g Set1 Set2 Union))) (or (not (tptp.member _let_1 Set2)) (not (tptp.member _let_1 Union)) (tptp.union Set1 Set2 Union)))))) (let ((_let_11 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted)) (let ((_let_1 (tptp.g Set1 Set2 Union))) (or (not (tptp.member _let_1 Set1)) (not (tptp.member _let_1 Union)) (tptp.union Set1 Set2 Union)))))) (let ((_let_12 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted)) (let ((_let_1 (tptp.g Set1 Set2 Union))) (or (tptp.union Set1 Set2 Union) (tptp.member _let_1 Set1) (tptp.member _let_1 Set2) (tptp.member _let_1 Union)))))) (let ((_let_13 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted) (Element $$unsorted)) (or (not (tptp.union Set1 Set2 Union)) (not (tptp.member Element Set2)) (tptp.member Element Union))))) (let ((_let_14 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted) (Element $$unsorted)) (or (not (tptp.union Set1 Set2 Union)) (not (tptp.member Element Set1)) (tptp.member Element Union))))) (let ((_let_15 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Union $$unsorted) (Element $$unsorted)) (or (not (tptp.union Set1 Set2 Union)) (not (tptp.member Element Union)) (tptp.member Element Set1) (tptp.member Element Set2))))) (let ((_let_16 (tptp.g tptp.aIb tptp.aIc tptp.aI_bUc))) (let ((_let_17 (tptp.member _let_16 tptp.aIc))) (let ((_let_18 (tptp.member _let_16 tptp.a))) (let ((_let_19 (not _let_18))) (let ((_let_20 (tptp.member _let_16 tptp.c))) (let ((_let_21 (not _let_20))) (let ((_let_22 (not _let_4))) (let ((_let_23 (or _let_22 _let_21 _let_19 _let_17))) (let ((_let_24 (_let_7))) (let ((_let_25 (ASSUME :args _let_24))) (let ((_let_26 (not _let_23))) (let ((_let_27 (tptp.member _let_16 tptp.b))) (let ((_let_28 (tptp.member _let_16 tptp.bUc))) (let ((_let_29 (not _let_28))) (let ((_let_30 (not _let_6))) (let ((_let_31 (or _let_30 _let_29 _let_27 _let_20))) (let ((_let_32 (_let_15))) (let ((_let_33 (ASSUME :args _let_32))) (let ((_let_34 (tptp.member _let_16 tptp.aIb))) (let ((_let_35 (not _let_27))) (let ((_let_36 (not _let_5))) (let ((_let_37 (or _let_36 _let_35 _let_19 _let_34))) (let ((_let_38 (not (= (tptp.intersection Set1 Set2 Intersection) false)))) (let ((_let_39 ((not (= (tptp.member Element Intersection) true)) _let_38))) (let ((_let_40 (not _let_17))) (let ((_let_41 (or _let_22 _let_40 _let_18))) (let ((_let_42 (tptp.member _let_16 tptp.aI_bUc))) (let ((_let_43 (not _let_42))) (let ((_let_44 (not _let_3))) (let ((_let_45 (or _let_44 _let_43 _let_18))) (let ((_let_46 (not _let_34))) (let ((_let_47 (or _let_36 _let_46 _let_18))) (let ((_let_48 (or _let_1 _let_34 _let_17 _let_42))) (let ((_let_49 (ASSUME :args (_let_4)))) (let ((_let_50 (_let_9))) (let ((_let_51 (ASSUME :args _let_50))) (let ((_let_52 ((not (= (tptp.intersection Set1 Set2 Intersection) false)) (not (= (tptp.member Element Intersection) false))))) (let ((_let_53 (ASSUME :args (_let_3)))) (let ((_let_54 (ASSUME :args (_let_5)))) (let ((_let_55 (ASSUME :args (_let_2)))) (let ((_let_56 (_let_12))) (let ((_let_57 (ASSUME :args _let_56))) (let ((_let_58 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_57 :args (tptp.aIb tptp.aIc tptp.aI_bUc QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.union Set1 Set2 Union) true))))) :args _let_56)) _let_57 :args (_let_48 false _let_12)))) (let ((_let_59 (REORDERING (CNF_OR_POS :args (_let_48)) :args ((or _let_1 _let_34 _let_17 _let_42 (not _let_48)))))) (let ((_let_60 (MACRO_RESOLUTION_TRUST _let_59 _let_58 _let_55 (REORDERING (CNF_OR_POS :args (_let_47)) :args ((or _let_36 _let_46 _let_18 (not _let_47)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.a tptp.b tptp.aIb _let_16 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_50)) _let_51 :args (_let_47 false _let_9)) _let_54 (REORDERING (CNF_OR_POS :args (_let_45)) :args ((or _let_44 _let_43 _let_18 (not _let_45)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.a tptp.bUc tptp.aI_bUc _let_16 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_50)) _let_51 :args (_let_45 false _let_9)) _let_53 (REORDERING (CNF_OR_POS :args (_let_41)) :args ((or _let_22 _let_40 _let_18 (not _let_41)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_51 :args (tptp.a tptp.c tptp.aIc _let_16 QUANTIFIERS_INST_E_MATCHING _let_52)) :args _let_50)) _let_51 :args (_let_41 false _let_9)) _let_49 :args (_let_18 false _let_48 true _let_1 true _let_34 false _let_47 false _let_5 true _let_42 false _let_45 false _let_3 true _let_17 false _let_41 false _let_4)))) (let ((_let_61 (or _let_46 _let_43 _let_1))) (let ((_let_62 (_let_11))) (let ((_let_63 (ASSUME :args _let_62))) (let ((_let_64 (or _let_44 _let_29 _let_19 _let_42))) (let ((_let_65 (or _let_30 _let_35 _let_28))) (let ((_let_66 (or _let_30 _let_21 _let_28))) (let ((_let_67 (or _let_36 _let_46 _let_27))) (let ((_let_68 (or _let_22 _let_40 _let_20))) (let ((_let_69 (ASSUME :args (_let_6)))) (let ((_let_70 (_let_14))) (let ((_let_71 (ASSUME :args _let_70))) (let ((_let_72 (_let_13))) (let ((_let_73 (ASSUME :args _let_72))) (let ((_let_74 (_let_8))) (let ((_let_75 (ASSUME :args _let_74))) (let ((_let_76 ((not (= (tptp.intersection Set1 Set2 Intersection) false)) (not (= (tptp.member Element Intersection) false))))) (let ((_let_77 (MACRO_RESOLUTION_TRUST _let_59 _let_58 _let_55 (REORDERING (CNF_OR_POS :args (_let_68)) :args ((or _let_22 _let_40 _let_20 (not _let_68)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.a tptp.c tptp.aIc _let_16 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_68 false _let_8)) _let_49 (REORDERING (CNF_OR_POS :args (_let_67)) :args ((or _let_36 _let_46 _let_27 (not _let_67)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.a tptp.b tptp.aIb _let_16 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_67 false _let_8)) _let_54 (REORDERING (CNF_OR_POS :args (_let_66)) :args ((or _let_30 _let_21 _let_28 (not _let_66)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_73 :args (tptp.b tptp.c tptp.bUc _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.union Set1 Set2 Union) false)) (not (= (tptp.member Element Set2) false))))) :args _let_72)) _let_73 :args (_let_66 false _let_13)) _let_69 (REORDERING (CNF_OR_POS :args (_let_65)) :args ((or _let_30 _let_28 _let_35 (not _let_65)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_71 :args (tptp.b tptp.c tptp.bUc _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.union Set1 Set2 Union) false)) (not (= (tptp.member Element Union) true))))) :args _let_70)) _let_71 :args (_let_65 false _let_14)) _let_69 (REORDERING (CNF_OR_POS :args (_let_64)) :args ((or _let_44 _let_42 _let_19 _let_29 (not _let_64)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.a tptp.bUc tptp.aI_bUc _let_16 QUANTIFIERS_INST_E_MATCHING (_let_38 (not (= (tptp.member Element Set2) false))))) :args _let_24)) _let_25 :args (_let_64 false _let_7)) _let_60 _let_53 :args (_let_42 false _let_48 true _let_1 true _let_17 false _let_68 false _let_4 true _let_34 false _let_67 false _let_5 true _let_20 false _let_66 false _let_6 true _let_27 false _let_65 false _let_6 true _let_28 false _let_64 false _let_18 false _let_3)))) (let ((_let_78 (or _let_44 _let_43 _let_28))) (let ((_let_79 (or _let_40 _let_43 _let_1))) (let ((_let_80 (_let_10))) (let ((_let_81 (ASSUME :args _let_80))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.a tptp.c tptp.aIc _let_16 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_24)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_23)) :args ((or _let_22 _let_17 _let_19 _let_21 _let_26))) _let_49 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_79)) :args ((or _let_1 _let_43 _let_40 (not _let_79)))) _let_55 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_81 :args (tptp.aIb tptp.aIc tptp.aI_bUc QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.union Set1 Set2 Union) true))))) :args _let_80)) _let_81 :args (_let_79 false _let_10)) :args (_let_40 true _let_1 false _let_42 false _let_79)) _let_60 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_20 _let_29 _let_27 (not _let_31)))) _let_69 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_78)) :args ((or _let_44 _let_43 _let_28 (not _let_78)))) _let_53 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_75 :args (tptp.a tptp.bUc tptp.aI_bUc _let_16 QUANTIFIERS_INST_E_MATCHING _let_76)) :args _let_74)) _let_75 :args (_let_78 false _let_8)) :args (_let_28 false _let_3 false _let_42 false _let_78)) (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_37)) :args ((or _let_36 _let_34 _let_19 _let_35 (not _let_37)))) _let_54 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_1 _let_46 _let_43 (not _let_61)))) _let_55 _let_77 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_63 :args (tptp.aIb tptp.aIc tptp.aI_bUc QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.union Set1 Set2 Union) true))))) :args _let_62)) _let_63 :args (_let_61 false _let_11)) :args (_let_46 true _let_1 false _let_42 false _let_61)) _let_60 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_25 :args (tptp.a tptp.b tptp.aIb _let_16 QUANTIFIERS_INST_E_MATCHING _let_39)) :args _let_24)) _let_25 :args (_let_37 false _let_7)) :args (_let_35 false _let_5 true _let_34 false _let_18 false _let_37)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_33 :args (tptp.b tptp.c tptp.bUc _let_16 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Element Set1) true)) (not (= (tptp.member Element Union) false)) (not (= (tptp.member Element Set2) true))))) :args _let_32)) _let_33 :args (_let_31 false _let_15)) :args (_let_20 false _let_6 false _let_28 true _let_27 false _let_31)) :args (_let_26 false _let_4 true _let_17 false _let_18 false _let_20)) _let_25 :args (false true _let_23 false _let_7)) :args ((forall ((Element $$unsorted) (Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member Element Subset)) (not (tptp.subset Subset Superset)) (tptp.member Element Superset))) (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (tptp.subset Subset Superset) (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Subset))) (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.member (tptp.member_of_1_not_of_2 Subset Superset) Superset)) (tptp.subset Subset Superset))) (forall ((Subset $$unsorted) (Superset $$unsorted)) (or (not (tptp.equal_sets Subset Superset)) (tptp.subset Subset Superset))) (forall ((Superset $$unsorted) (Subset $$unsorted)) (or (not (tptp.equal_sets Superset Subset)) (tptp.subset Subset Superset))) (forall ((Set1 $$unsorted) (Set2 $$unsorted)) (or (not (tptp.subset Set1 Set2)) (not (tptp.subset Set2 Set1)) (tptp.equal_sets Set2 Set1))) _let_15 _let_14 _let_13 _let_12 _let_11 _let_10 _let_9 _let_8 _let_7 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted)) (let ((_let_1 (tptp.h Set1 Set2 Intersection))) (or (tptp.member _let_1 Intersection) (tptp.intersection Set1 Set2 Intersection) (tptp.member _let_1 Set1)))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted)) (let ((_let_1 (tptp.h Set1 Set2 Intersection))) (or (tptp.member _let_1 Intersection) (tptp.intersection Set1 Set2 Intersection) (tptp.member _let_1 Set2)))) (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted)) (let ((_let_1 (tptp.h Set1 Set2 Intersection))) (or (not (tptp.member _let_1 Intersection)) (not (tptp.member _let_1 Set2)) (not (tptp.member _let_1 Set1)) (tptp.intersection Set1 Set2 Intersection)))) _let_6 _let_5 _let_4 _let_3 _let_2))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 1.05/1.44 )
% 1.05/1.44 % SZS output end Proof for SET007-1
% 1.05/1.44 % cvc5---1.0.5 exiting
% 1.05/1.44 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------