TSTP Solution File: SET005-1 by cvc5---1.0.5
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%------------------------------------------------------------------------------
% File : cvc5---1.0.5
% Problem : SET005-1 : TPTP v8.1.2. Released v1.0.0.
% 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 14:36:37 EDT 2023
% Result : Unsatisfiable 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : do_cvc5 %s %d
% 0.13/0.34 % Computer : n017.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 11:45:26 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.xtQh2wjX30/cvc5---1.0.5_12692.p...
% 0.20/0.49 ------- get file name : TPTP file name is SET005-1
% 0.20/0.49 ------- cvc5-fof : /export/starexec/sandbox2/solver/bin/cvc5---1.0.5_12692.smt2...
% 0.20/0.50 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 10...
% 0.20/0.52 % SZS status Unsatisfiable for SET005-1
% 0.20/0.52 % SZS output start Proof for SET005-1
% 0.20/0.53 (
% 0.20/0.53 (let ((_let_1 (tptp.intersection tptp.aIb tptp.c tptp.aIbIc))) (let ((_let_2 (not _let_1))) (let ((_let_3 (tptp.intersection tptp.a tptp.bIc tptp.aIbIc))) (let ((_let_4 (tptp.intersection tptp.b tptp.c tptp.bIc))) (let ((_let_5 (tptp.intersection tptp.a tptp.b tptp.aIb))) (let ((_let_6 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted)) (let ((_let_1 (tptp.h Set1 Set2 Intersection))) (or (not (tptp.member _let_1 Intersection)) (not (tptp.member _let_1 Set2)) (not (tptp.member _let_1 Set1)) (tptp.intersection Set1 Set2 Intersection)))))) (let ((_let_7 (forall ((Set1 $$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 Set2)))))) (let ((_let_8 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted)) (let ((_let_1 (tptp.h Set1 Set2 Intersection))) (or (tptp.member _let_1 Intersection) (tptp.intersection Set1 Set2 Intersection) (tptp.member _let_1 Set1)))))) (let ((_let_9 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted) (Element $$unsorted)) (or (not (tptp.intersection Set1 Set2 Intersection)) (not (tptp.member Element Set2)) (not (tptp.member Element Set1)) (tptp.member Element Intersection))))) (let ((_let_10 (forall ((Set1 $$unsorted) (Set2 $$unsorted) (Intersection $$unsorted) (Element $$unsorted)) (or (not (tptp.intersection Set1 Set2 Intersection)) (not (tptp.member Element Intersection)) (tptp.member Element Set2))))) (let ((_let_11 (forall ((Set1 $$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_12 (tptp.h tptp.aIb tptp.c tptp.aIbIc))) (let ((_let_13 (tptp.member _let_12 tptp.b))) (let ((_let_14 (tptp.member _let_12 tptp.aIb))) (let ((_let_15 (not _let_14))) (let ((_let_16 (not _let_5))) (let ((_let_17 (or _let_16 _let_15 _let_13))) (let ((_let_18 (ASSUME :args (_let_5)))) (let ((_let_19 (_let_10))) (let ((_let_20 (ASSUME :args _let_19))) (let ((_let_21 (not (= (tptp.intersection Set1 Set2 Intersection) false)))) (let ((_let_22 (_let_21 (not (= (tptp.member Element Intersection) false))))) (let ((_let_23 (tptp.member _let_12 tptp.aIbIc))) (let ((_let_24 (or _let_23 _let_1 _let_14))) (let ((_let_25 (_let_8))) (let ((_let_26 (ASSUME :args _let_25))) (let ((_let_27 (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_26 :args (tptp.aIb tptp.c tptp.aIbIc QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.intersection Set1 Set2 Intersection) true))))) :args _let_25)) _let_26 :args (_let_24 false _let_8)))) (let ((_let_28 (tptp.member _let_12 tptp.bIc))) (let ((_let_29 (not _let_23))) (let ((_let_30 (not _let_3))) (let ((_let_31 (or _let_30 _let_29 _let_28))) (let ((_let_32 (tptp.member _let_12 tptp.c))) (let ((_let_33 (not _let_28))) (let ((_let_34 (not _let_4))) (let ((_let_35 (or _let_34 _let_33 _let_32))) (let ((_let_36 (or _let_34 _let_33 _let_13))) (let ((_let_37 (not _let_32))) (let ((_let_38 (or _let_29 _let_37 _let_15 _let_1))) (let ((_let_39 (tptp.member _let_12 tptp.a))) (let ((_let_40 (not _let_39))) (let ((_let_41 (not _let_13))) (let ((_let_42 (or _let_16 _let_41 _let_40 _let_14))) (let ((_let_43 (ASSUME :args (_let_3)))) (let ((_let_44 (ASSUME :args (_let_4)))) (let ((_let_45 (_let_11))) (let ((_let_46 (ASSUME :args _let_45))) (let ((_let_47 ((not (= (tptp.intersection Set1 Set2 Intersection) false)) (not (= (tptp.member Element Intersection) false))))) (let ((_let_48 (ASSUME :args (_let_2)))) (let ((_let_49 (_let_6))) (let ((_let_50 (ASSUME :args _let_49))) (let ((_let_51 (or _let_16 _let_15 _let_39))) (let ((_let_52 (or _let_30 _let_29 _let_39))) (let ((_let_53 (REORDERING (CNF_OR_POS :args (_let_24)) :args ((or _let_1 _let_23 _let_14 (not _let_24)))))) (let ((_let_54 (MACRO_RESOLUTION_TRUST _let_53 _let_27 _let_48 (REORDERING (CNF_OR_POS :args (_let_52)) :args ((or _let_30 _let_29 _let_39 (not _let_52)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.a tptp.bIc tptp.aIbIc _let_12 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_52 false _let_11)) _let_43 (REORDERING (CNF_OR_POS :args (_let_51)) :args ((or _let_16 _let_15 _let_39 (not _let_51)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.a tptp.b tptp.aIb _let_12 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_51 false _let_11)) _let_18 :args (_let_39 false _let_24 true _let_1 true _let_23 false _let_52 false _let_3 true _let_14 false _let_51 false _let_5)))) (let ((_let_55 (_let_9))) (let ((_let_56 (ASSUME :args _let_55))) (let ((_let_57 (not (= (tptp.intersection Set1 Set2 Intersection) false)))) (let ((_let_58 (_let_57 (not (= (tptp.member Element Intersection) true))))) (let ((_let_59 (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_42)) :args ((or _let_16 _let_14 _let_41 _let_40 (not _let_42)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.a tptp.b tptp.aIb _let_12 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_55)) _let_56 :args (_let_42 false _let_9)) _let_54 _let_18 (REORDERING (CNF_OR_POS :args (_let_38)) :args ((or _let_1 _let_29 _let_37 _let_15 (not _let_38)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_50 :args (tptp.aIb tptp.c tptp.aIbIc QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.intersection Set1 Set2 Intersection) true))))) :args _let_49)) _let_50 :args (_let_38 false _let_6)) _let_48 (REORDERING (CNF_OR_POS :args (_let_36)) :args ((or _let_34 _let_13 _let_33 (not _let_36)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_46 :args (tptp.b tptp.c tptp.bIc _let_12 QUANTIFIERS_INST_E_MATCHING _let_47)) :args _let_45)) _let_46 :args (_let_36 false _let_11)) _let_44 (REORDERING (CNF_OR_POS :args (_let_35)) :args ((or _let_34 _let_32 _let_33 (not _let_35)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.b tptp.c tptp.bIc _let_12 QUANTIFIERS_INST_E_MATCHING ((not (= (tptp.member Element Set2) true)) _let_21))) :args _let_19)) _let_20 :args (_let_35 false _let_10)) _let_44 (REORDERING (CNF_OR_POS :args (_let_31)) :args ((or _let_30 _let_29 _let_28 (not _let_31)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a tptp.bIc tptp.aIbIc _let_12 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_19)) _let_20 :args (_let_31 false _let_10)) _let_43 :args (_let_29 false _let_42 false _let_39 false _let_5 true _let_14 false _let_38 true _let_1 false _let_13 false _let_36 false _let_4 false _let_32 false _let_35 false _let_4 false _let_28 false _let_31 false _let_3)))) (let ((_let_60 (or _let_23 _let_1 _let_32))) (let ((_let_61 (or _let_30 _let_33 _let_40 _let_23))) (let ((_let_62 (or _let_34 _let_37 _let_41 _let_28))) (let ((_let_63 (_let_7))) (let ((_let_64 (ASSUME :args _let_63))) (SCOPE (SCOPE (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_17)) :args ((or _let_16 _let_15 _let_13 (not _let_17)))) (MACRO_RESOLUTION_TRUST (MACRO_RESOLUTION_TRUST (REORDERING (CNF_OR_POS :args (_let_62)) :args ((or _let_34 _let_37 _let_41 _let_28 (not _let_62)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.b tptp.c tptp.bIc _let_12 QUANTIFIERS_INST_E_MATCHING (_let_57 (not (= (tptp.member Element Set2) false))))) :args _let_55)) _let_56 :args (_let_62 false _let_9)) _let_44 (REORDERING (CNF_OR_POS :args (_let_61)) :args ((or _let_30 _let_23 _let_40 _let_33 (not _let_61)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_56 :args (tptp.a tptp.bIc tptp.aIbIc _let_12 QUANTIFIERS_INST_E_MATCHING _let_58)) :args _let_55)) _let_56 :args (_let_61 false _let_9)) _let_54 _let_43 (REORDERING (CNF_OR_POS :args (_let_60)) :args ((or _let_1 _let_23 _let_32 (not _let_60)))) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_64 :args (tptp.aIb tptp.c tptp.aIbIc QUANTIFIERS_INST_E_MATCHING_SIMPLE ((not (= (tptp.intersection Set1 Set2 Intersection) true))))) :args _let_63)) _let_64 :args (_let_60 false _let_7)) _let_48 :args ((or _let_23 _let_41) false _let_62 false _let_4 true _let_28 false _let_61 false _let_39 false _let_3 false _let_32 false _let_60 true _let_1)) _let_59 :args (_let_41 true _let_23)) (MACRO_RESOLUTION_TRUST _let_53 _let_48 _let_59 _let_27 :args (_let_14 true _let_1 true _let_23 false _let_24)) (MACRO_RESOLUTION_TRUST (IMPLIES_ELIM (SCOPE (INSTANTIATE _let_20 :args (tptp.a tptp.b tptp.aIb _let_12 QUANTIFIERS_INST_E_MATCHING _let_22)) :args _let_19)) _let_20 :args (_let_17 false _let_10)) _let_18 :args (false true _let_13 false _let_14 false _let_17 false _let_5)) :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_11 _let_10 _let_9 _let_8 _let_7 _let_6 _let_5 _let_4 _let_3 _let_2)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))
% 0.20/0.53 )
% 0.20/0.53 % SZS output end Proof for SET005-1
% 0.20/0.53 % cvc5---1.0.5 exiting
% 0.20/0.53 % cvc5---1.0.5 exiting
%------------------------------------------------------------------------------