0.00/0.08 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.08 % Command : vampire -m 90000 --mode casc -t %d %s 0.02/0.35 % Computer : n129.star.cs.uiowa.edu 0.02/0.35 % Model : x86_64 x86_64 0.02/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.35 % Memory : 32218.625MB 0.02/0.35 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.35 % CPULimit : 300 0.02/0.35 % DateTime : Sat Jul 14 04:22:25 CDT 2018 0.02/0.35 % CPUTime : 0.02/0.36 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.36 % remaining time: 5999 next slice time: 4 0.02/0.39 lrs+1010_5:4_afp=100000:afq=1.2:anc=none:cond=on:fsr=off:ile=on:irw=on:nm=64:nwc=1:stl=30:sac=on:sp=occurrence:urr=on_2 on theBenchmark 0.07/0.45 % Refutation found. Thanks to Tanya! 0.07/0.45 % SZS status Theorem for theBenchmark 0.07/0.45 % SZS output start Proof for theBenchmark 0.07/0.45 fof(f25,axiom,( 0.07/0.45 ! [X3,X4,X5,X8,X9] : ((iext(uri_rdf_first,X4,X5) & iext(uri_rdf_rest,X4,X8) & iext(uri_rdf_first,X8,X9) & iext(uri_rdf_rest,X8,uri_rdf_nil)) => ((ic(X9) & ! [X1] : ((icext(X9,X1) | icext(X5,X1)) <=> icext(X3,X1)) & ic(X5) & ic(X3)) <=> iext(uri_owl_unionOf,X3,X4)))), 0.07/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_unionof_class_002)). 0.07/0.45 fof(f61,axiom,( 0.07/0.45 ! [X1,X0] : (iext(uri_rdf_type,X1,X0) <=> icext(X0,X1))), 0.07/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def)). 0.07/0.45 fof(f139,axiom,( 0.07/0.45 ? [X20,X21,X22] : (iext(uri_rdf_type,uri_ex_harry,X20) & iext(uri_rdf_rest,X21,X22) & iext(uri_rdf_rest,X22,uri_rdf_nil) & iext(uri_rdf_first,X22,uri_ex_Falcon) & iext(uri_rdf_first,X21,uri_ex_Eagle) & iext(uri_owl_unionOf,X20,X21) & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species) & iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species))), 0.07/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_014_Harry_belongs_to_some_Species)). 0.07/0.45 fof(f140,conjecture,( 0.07/0.45 ? [X23] : (iext(uri_rdf_type,X23,uri_ex_Species) & iext(uri_rdf_type,uri_ex_harry,X23))), 0.07/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_014_Harry_belongs_to_some_Species)). 0.07/0.45 fof(f141,negated_conjecture,( 0.07/0.45 ~? [X23] : (iext(uri_rdf_type,X23,uri_ex_Species) & iext(uri_rdf_type,uri_ex_harry,X23))), 0.07/0.45 inference(negated_conjecture,[],[f140])). 0.07/0.45 fof(f142,plain,( 0.07/0.45 ~? [X0] : (iext(uri_rdf_type,X0,uri_ex_Species) & iext(uri_rdf_type,uri_ex_harry,X0))), 0.07/0.45 inference(rectify,[],[f141])). 0.07/0.45 fof(f189,plain,( 0.07/0.45 ! [X0,X1] : (iext(uri_rdf_type,X0,X1) <=> icext(X1,X0))), 0.07/0.45 inference(rectify,[],[f61])). 0.07/0.45 fof(f205,plain,( 0.07/0.45 ! [X0,X1,X2,X3,X4] : ((iext(uri_rdf_first,X1,X2) & iext(uri_rdf_rest,X1,X3) & iext(uri_rdf_first,X3,X4) & iext(uri_rdf_rest,X3,uri_rdf_nil)) => ((ic(X4) & ! [X5] : ((icext(X4,X5) | icext(X2,X5)) <=> icext(X0,X5)) & ic(X2) & ic(X0)) <=> iext(uri_owl_unionOf,X0,X1)))), 0.07/0.45 inference(rectify,[],[f25])). 0.07/0.45 fof(f209,plain,( 0.07/0.45 ? [X0,X1,X2] : (iext(uri_rdf_type,uri_ex_harry,X0) & iext(uri_rdf_rest,X1,X2) & iext(uri_rdf_rest,X2,uri_rdf_nil) & iext(uri_rdf_first,X2,uri_ex_Falcon) & iext(uri_rdf_first,X1,uri_ex_Eagle) & iext(uri_owl_unionOf,X0,X1) & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species) & iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species))), 0.07/0.45 inference(rectify,[],[f139])). 0.07/0.45 fof(f214,plain,( 0.07/0.45 ! [X0] : (~iext(uri_rdf_type,X0,uri_ex_Species) | ~iext(uri_rdf_type,uri_ex_harry,X0))), 0.07/0.45 inference(ennf_transformation,[],[f142])). 0.07/0.45 fof(f274,plain,( 0.07/0.45 ! [X0,X1,X2,X3,X4] : (((ic(X4) & ! [X5] : ((icext(X4,X5) | icext(X2,X5)) <=> icext(X0,X5)) & ic(X2) & ic(X0)) <=> iext(uri_owl_unionOf,X0,X1)) | (~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil)))), 0.07/0.45 inference(ennf_transformation,[],[f205])). 0.07/0.45 fof(f275,plain,( 0.07/0.45 ! [X0,X1,X2,X3,X4] : (((ic(X4) & ! [X5] : ((icext(X4,X5) | icext(X2,X5)) <=> icext(X0,X5)) & ic(X2) & ic(X0)) <=> iext(uri_owl_unionOf,X0,X1)) | ~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil))), 0.07/0.45 inference(flattening,[],[f274])). 0.07/0.45 fof(f301,plain,( 0.07/0.45 ! [X0,X1] : ((iext(uri_rdf_type,X0,X1) | ~icext(X1,X0)) & (icext(X1,X0) | ~iext(uri_rdf_type,X0,X1)))), 0.07/0.45 inference(nnf_transformation,[],[f189])). 0.07/0.45 fof(f346,plain,( 0.07/0.45 ! [X0,X1,X2,X3,X4] : ((((ic(X4) & ! [X5] : (((icext(X4,X5) | icext(X2,X5)) | ~icext(X0,X5)) & (icext(X0,X5) | (~icext(X4,X5) & ~icext(X2,X5)))) & ic(X2) & ic(X0)) | ~iext(uri_owl_unionOf,X0,X1)) & (iext(uri_owl_unionOf,X0,X1) | (~ic(X4) | ? [X5] : ((~icext(X0,X5) | (~icext(X4,X5) & ~icext(X2,X5))) & (icext(X0,X5) | (icext(X4,X5) | icext(X2,X5)))) | ~ic(X2) | ~ic(X0)))) | ~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil))), 0.07/0.45 inference(nnf_transformation,[],[f275])). 0.07/0.45 fof(f347,plain,( 0.07/0.45 ! [X0,X1,X2,X3,X4] : ((((ic(X4) & ! [X5] : ((icext(X4,X5) | icext(X2,X5) | ~icext(X0,X5)) & (icext(X0,X5) | (~icext(X4,X5) & ~icext(X2,X5)))) & ic(X2) & ic(X0)) | ~iext(uri_owl_unionOf,X0,X1)) & (iext(uri_owl_unionOf,X0,X1) | ~ic(X4) | ? [X5] : ((~icext(X0,X5) | (~icext(X4,X5) & ~icext(X2,X5))) & (icext(X0,X5) | icext(X4,X5) | icext(X2,X5))) | ~ic(X2) | ~ic(X0))) | ~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil))), 0.07/0.45 inference(flattening,[],[f346])). 0.07/0.45 fof(f348,plain,( 0.07/0.45 ! [X0,X1,X2,X3,X4] : ((((ic(X4) & ! [X5] : ((icext(X4,X5) | icext(X2,X5) | ~icext(X0,X5)) & (icext(X0,X5) | (~icext(X4,X5) & ~icext(X2,X5)))) & ic(X2) & ic(X0)) | ~iext(uri_owl_unionOf,X0,X1)) & (iext(uri_owl_unionOf,X0,X1) | ~ic(X4) | ? [X6] : ((~icext(X0,X6) | (~icext(X4,X6) & ~icext(X2,X6))) & (icext(X0,X6) | icext(X4,X6) | icext(X2,X6))) | ~ic(X2) | ~ic(X0))) | ~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil))), 0.07/0.45 inference(rectify,[],[f347])). 0.07/0.45 fof(f349,plain,( 0.07/0.45 ! [X4,X2,X0] : (? [X6] : ((~icext(X0,X6) | (~icext(X4,X6) & ~icext(X2,X6))) & (icext(X0,X6) | icext(X4,X6) | icext(X2,X6))) => ((~icext(X0,sK14(X0,X2,X4)) | (~icext(X4,sK14(X0,X2,X4)) & ~icext(X2,sK14(X0,X2,X4)))) & (icext(X0,sK14(X0,X2,X4)) | icext(X4,sK14(X0,X2,X4)) | icext(X2,sK14(X0,X2,X4)))))), 0.07/0.45 introduced(choice_axiom,[])). 0.07/0.45 fof(f350,plain,( 0.07/0.45 ! [X0,X1,X2,X3,X4] : ((((ic(X4) & ! [X5] : ((icext(X4,X5) | icext(X2,X5) | ~icext(X0,X5)) & (icext(X0,X5) | (~icext(X4,X5) & ~icext(X2,X5)))) & ic(X2) & ic(X0)) | ~iext(uri_owl_unionOf,X0,X1)) & (iext(uri_owl_unionOf,X0,X1) | ~ic(X4) | ((~icext(X0,sK14(X0,X2,X4)) | (~icext(X4,sK14(X0,X2,X4)) & ~icext(X2,sK14(X0,X2,X4)))) & (icext(X0,sK14(X0,X2,X4)) | icext(X4,sK14(X0,X2,X4)) | icext(X2,sK14(X0,X2,X4)))) | ~ic(X2) | ~ic(X0))) | ~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil))), 0.07/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f348,f349])). 0.07/0.45 fof(f363,plain,( 0.07/0.45 ? [X0,X1,X2] : (iext(uri_rdf_type,uri_ex_harry,X0) & iext(uri_rdf_rest,X1,X2) & iext(uri_rdf_rest,X2,uri_rdf_nil) & iext(uri_rdf_first,X2,uri_ex_Falcon) & iext(uri_rdf_first,X1,uri_ex_Eagle) & iext(uri_owl_unionOf,X0,X1) & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species) & iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)) => (iext(uri_rdf_type,uri_ex_harry,sK18) & iext(uri_rdf_rest,sK19,sK20) & iext(uri_rdf_rest,sK20,uri_rdf_nil) & iext(uri_rdf_first,sK20,uri_ex_Falcon) & iext(uri_rdf_first,sK19,uri_ex_Eagle) & iext(uri_owl_unionOf,sK18,sK19) & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species) & iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species))), 0.07/0.45 introduced(choice_axiom,[])). 0.07/0.45 fof(f364,plain,( 0.07/0.45 iext(uri_rdf_type,uri_ex_harry,sK18) & iext(uri_rdf_rest,sK19,sK20) & iext(uri_rdf_rest,sK20,uri_rdf_nil) & iext(uri_rdf_first,sK20,uri_ex_Falcon) & iext(uri_rdf_first,sK19,uri_ex_Eagle) & iext(uri_owl_unionOf,sK18,sK19) & iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species) & iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)), 0.07/0.45 inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f209,f363])). 0.07/0.45 fof(f365,plain,( 0.07/0.45 ( ! [X0] : (~iext(uri_rdf_type,uri_ex_harry,X0) | ~iext(uri_rdf_type,X0,uri_ex_Species)) )), 0.07/0.45 inference(cnf_transformation,[],[f214])). 0.07/0.45 fof(f518,plain,( 0.07/0.45 ( ! [X0,X1] : (~iext(uri_rdf_type,X0,X1) | icext(X1,X0)) )), 0.07/0.45 inference(cnf_transformation,[],[f301])). 0.07/0.45 fof(f519,plain,( 0.07/0.45 ( ! [X0,X1] : (iext(uri_rdf_type,X0,X1) | ~icext(X1,X0)) )), 0.07/0.45 inference(cnf_transformation,[],[f301])). 0.07/0.45 fof(f581,plain,( 0.07/0.45 ( ! [X4,X2,X0,X5,X3,X1] : (~iext(uri_owl_unionOf,X0,X1) | icext(X2,X5) | ~icext(X0,X5) | icext(X4,X5) | ~iext(uri_rdf_first,X1,X2) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil)) )), 0.07/0.45 inference(cnf_transformation,[],[f350])). 0.07/0.45 fof(f608,plain,( 0.07/0.45 iext(uri_rdf_type,uri_ex_Eagle,uri_ex_Species)), 0.07/0.45 inference(cnf_transformation,[],[f364])). 0.07/0.45 fof(f609,plain,( 0.07/0.45 iext(uri_rdf_type,uri_ex_Falcon,uri_ex_Species)), 0.07/0.45 inference(cnf_transformation,[],[f364])). 0.07/0.45 fof(f610,plain,( 0.07/0.45 iext(uri_owl_unionOf,sK18,sK19)), 0.07/0.45 inference(cnf_transformation,[],[f364])). 0.07/0.45 fof(f611,plain,( 0.07/0.45 iext(uri_rdf_first,sK19,uri_ex_Eagle)), 0.07/0.45 inference(cnf_transformation,[],[f364])). 0.07/0.45 fof(f612,plain,( 0.07/0.45 iext(uri_rdf_first,sK20,uri_ex_Falcon)), 0.07/0.45 inference(cnf_transformation,[],[f364])). 0.07/0.45 fof(f613,plain,( 0.07/0.45 iext(uri_rdf_rest,sK20,uri_rdf_nil)), 0.07/0.45 inference(cnf_transformation,[],[f364])). 0.07/0.45 fof(f614,plain,( 0.07/0.45 iext(uri_rdf_rest,sK19,sK20)), 0.07/0.45 inference(cnf_transformation,[],[f364])). 0.07/0.45 fof(f615,plain,( 0.07/0.45 iext(uri_rdf_type,uri_ex_harry,sK18)), 0.07/0.45 inference(cnf_transformation,[],[f364])). 0.07/0.45 fof(f1149,plain,( 0.07/0.45 icext(sK18,uri_ex_harry)), 0.07/0.45 inference(unit_resulting_resolution,[],[f615,f518])). 0.07/0.45 fof(f1190,plain,( 0.07/0.45 ~iext(uri_rdf_type,uri_ex_harry,uri_ex_Eagle)), 0.07/0.45 inference(unit_resulting_resolution,[],[f608,f365])). 0.07/0.45 fof(f1191,plain,( 0.07/0.45 ~iext(uri_rdf_type,uri_ex_harry,uri_ex_Falcon)), 0.07/0.45 inference(unit_resulting_resolution,[],[f609,f365])). 0.07/0.45 fof(f3035,plain,( 0.07/0.45 ~icext(uri_ex_Eagle,uri_ex_harry)), 0.07/0.45 inference(unit_resulting_resolution,[],[f1190,f519])). 0.07/0.45 fof(f3059,plain,( 0.07/0.45 icext(uri_ex_Falcon,uri_ex_harry)), 0.07/0.45 inference(unit_resulting_resolution,[],[f612,f613,f614,f1149,f610,f611,f3035,f581])). 0.07/0.45 fof(f3101,plain,( 0.07/0.45 $false), 0.07/0.45 inference(unit_resulting_resolution,[],[f3059,f1191,f519])). 0.07/0.45 % SZS output end Proof for theBenchmark 0.07/0.45 % ------------------------------ 0.07/0.45 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.07/0.45 % Termination reason: Refutation 0.07/0.45 0.07/0.45 % Memory used [KB]: 6780 0.07/0.45 % Time elapsed: 0.064 s 0.07/0.45 % ------------------------------ 0.07/0.45 % ------------------------------ 0.07/0.45 % Success in time 0.097 s 0.16/0.52 EOF