0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.27 % Computer : n012.star.cs.uiowa.edu 0.03/0.27 % Model : x86_64 x86_64 0.03/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.27 % Memory : 32218.625MB 0.03/0.27 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.27 % CPULimit : 300 0.03/0.27 % DateTime : Sat Jul 14 04:19:25 CDT 2018 0.03/0.27 % CPUTime : 0.03/0.27 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.27 % remaining time: 5999 next slice time: 4 0.03/0.30 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 0.06/0.37 % Refutation found. Thanks to Tanya! 0.06/0.37 % SZS status Theorem for theBenchmark 0.06/0.37 % SZS output start Proof for theBenchmark 0.06/0.37 fof(f54,axiom,( 0.06/0.37 ! [X3,X0] : (iext(uri_owl_complementOf,X3,X0) => (! [X1] : (~icext(X0,X1) <=> icext(X3,X1)) & ic(X0) & ic(X3)))), 0.06/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class)). 0.06/0.37 fof(f61,axiom,( 0.06/0.37 ! [X1,X0] : (iext(uri_rdf_type,X1,X0) <=> icext(X0,X1))), 0.06/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def)). 0.06/0.37 fof(f114,axiom,( 0.06/0.37 ! [X3,X4,X5,X8,X9] : ((iext(uri_rdf_first,X8,X9) & iext(uri_rdf_rest,X8,uri_rdf_nil) & iext(uri_rdf_rest,X4,X8) & iext(uri_rdf_first,X4,X5)) => (iext(uri_owl_intersectionOf,X3,X4) <=> (ic(X3) & ic(X5) & ic(X9) & ! [X1] : ((icext(X5,X1) & icext(X9,X1)) <=> icext(X3,X1)))))), 0.06/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_intersectionof_class_002)). 0.06/0.37 fof(f139,axiom,( 0.06/0.37 ? [X20,X21,X22,X23] : (iext(uri_rdf_type,uri_ex_A,uri_owl_Class) & iext(uri_rdf_type,uri_ex_B,uri_owl_Class) & iext(uri_rdf_type,uri_ex_w,X20) & iext(uri_rdf_first,X23,X21) & iext(uri_owl_complementOf,X21,uri_ex_A) & iext(uri_rdf_rest,X23,uri_rdf_nil) & iext(uri_rdf_rest,X22,X23) & iext(uri_rdf_first,X22,uri_ex_A) & iext(uri_owl_intersectionOf,X20,X22))), 0.06/0.37 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet)). 0.06/0.37 fof(f181,plain,( 0.06/0.37 ! [X0,X1] : (iext(uri_owl_complementOf,X0,X1) => (! [X2] : (~icext(X1,X2) <=> icext(X0,X2)) & ic(X1) & ic(X0)))), 0.06/0.37 inference(rectify,[],[f54])). 0.06/0.37 fof(f189,plain,( 0.06/0.37 ! [X0,X1] : (iext(uri_rdf_type,X0,X1) <=> icext(X1,X0))), 0.06/0.37 inference(rectify,[],[f61])). 0.06/0.37 fof(f204,plain,( 0.06/0.37 ! [X0,X1,X2,X3,X4] : ((iext(uri_rdf_first,X3,X4) & iext(uri_rdf_rest,X3,uri_rdf_nil) & iext(uri_rdf_rest,X1,X3) & iext(uri_rdf_first,X1,X2)) => (iext(uri_owl_intersectionOf,X0,X1) <=> (ic(X0) & ic(X2) & ic(X4) & ! [X5] : ((icext(X2,X5) & icext(X4,X5)) <=> icext(X0,X5)))))), 0.06/0.37 inference(rectify,[],[f114])). 0.06/0.37 fof(f209,plain,( 0.06/0.37 ? [X0,X1,X2,X3] : (iext(uri_rdf_type,uri_ex_A,uri_owl_Class) & iext(uri_rdf_type,uri_ex_B,uri_owl_Class) & iext(uri_rdf_type,uri_ex_w,X0) & iext(uri_rdf_first,X3,X1) & iext(uri_owl_complementOf,X1,uri_ex_A) & iext(uri_rdf_rest,X3,uri_rdf_nil) & iext(uri_rdf_rest,X2,X3) & iext(uri_rdf_first,X2,uri_ex_A) & iext(uri_owl_intersectionOf,X0,X2))), 0.06/0.37 inference(rectify,[],[f139])). 0.06/0.37 fof(f240,plain,( 0.06/0.37 ! [X0,X1] : ((! [X2] : (~icext(X1,X2) <=> icext(X0,X2)) & ic(X1) & ic(X0)) | ~iext(uri_owl_complementOf,X0,X1))), 0.06/0.37 inference(ennf_transformation,[],[f181])). 0.06/0.37 fof(f271,plain,( 0.06/0.37 ! [X0,X1,X2,X3,X4] : ((iext(uri_owl_intersectionOf,X0,X1) <=> (ic(X0) & ic(X2) & ic(X4) & ! [X5] : ((icext(X2,X5) & icext(X4,X5)) <=> icext(X0,X5)))) | (~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2)))), 0.06/0.37 inference(ennf_transformation,[],[f204])). 0.06/0.37 fof(f272,plain,( 0.06/0.37 ! [X0,X1,X2,X3,X4] : ((iext(uri_owl_intersectionOf,X0,X1) <=> (ic(X0) & ic(X2) & ic(X4) & ! [X5] : ((icext(X2,X5) & icext(X4,X5)) <=> icext(X0,X5)))) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2))), 0.06/0.37 inference(flattening,[],[f271])). 0.06/0.37 fof(f299,plain,( 0.06/0.37 ! [X0,X1] : ((! [X2] : ((~icext(X1,X2) | ~icext(X0,X2)) & (icext(X0,X2) | icext(X1,X2))) & ic(X1) & ic(X0)) | ~iext(uri_owl_complementOf,X0,X1))), 0.06/0.37 inference(nnf_transformation,[],[f240])). 0.06/0.37 fof(f300,plain,( 0.06/0.37 ! [X0,X1] : ((iext(uri_rdf_type,X0,X1) | ~icext(X1,X0)) & (icext(X1,X0) | ~iext(uri_rdf_type,X0,X1)))), 0.06/0.37 inference(nnf_transformation,[],[f189])). 0.06/0.37 fof(f340,plain,( 0.06/0.37 ! [X0,X1,X2,X3,X4] : (((iext(uri_owl_intersectionOf,X0,X1) | (~ic(X0) | ~ic(X2) | ~ic(X4) | ? [X5] : ((~icext(X0,X5) | (~icext(X2,X5) | ~icext(X4,X5))) & (icext(X0,X5) | (icext(X2,X5) & icext(X4,X5)))))) & ((ic(X0) & ic(X2) & ic(X4) & ! [X5] : (((icext(X2,X5) & icext(X4,X5)) | ~icext(X0,X5)) & (icext(X0,X5) | (~icext(X2,X5) | ~icext(X4,X5))))) | ~iext(uri_owl_intersectionOf,X0,X1))) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2))), 0.06/0.37 inference(nnf_transformation,[],[f272])). 0.06/0.37 fof(f341,plain,( 0.06/0.37 ! [X0,X1,X2,X3,X4] : (((iext(uri_owl_intersectionOf,X0,X1) | ~ic(X0) | ~ic(X2) | ~ic(X4) | ? [X5] : ((~icext(X0,X5) | ~icext(X2,X5) | ~icext(X4,X5)) & (icext(X0,X5) | (icext(X2,X5) & icext(X4,X5))))) & ((ic(X0) & ic(X2) & ic(X4) & ! [X5] : (((icext(X2,X5) & icext(X4,X5)) | ~icext(X0,X5)) & (icext(X0,X5) | ~icext(X2,X5) | ~icext(X4,X5)))) | ~iext(uri_owl_intersectionOf,X0,X1))) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2))), 0.06/0.37 inference(flattening,[],[f340])). 0.06/0.37 fof(f342,plain,( 0.06/0.37 ! [X0,X1,X2,X3,X4] : (((iext(uri_owl_intersectionOf,X0,X1) | ~ic(X0) | ~ic(X2) | ~ic(X4) | ? [X5] : ((~icext(X0,X5) | ~icext(X2,X5) | ~icext(X4,X5)) & (icext(X0,X5) | (icext(X2,X5) & icext(X4,X5))))) & ((ic(X0) & ic(X2) & ic(X4) & ! [X6] : (((icext(X2,X6) & icext(X4,X6)) | ~icext(X0,X6)) & (icext(X0,X6) | ~icext(X2,X6) | ~icext(X4,X6)))) | ~iext(uri_owl_intersectionOf,X0,X1))) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2))), 0.06/0.37 inference(rectify,[],[f341])). 0.06/0.37 fof(f343,plain,( 0.06/0.37 ! [X4,X2,X0] : (? [X5] : ((~icext(X0,X5) | ~icext(X2,X5) | ~icext(X4,X5)) & (icext(X0,X5) | (icext(X2,X5) & icext(X4,X5)))) => ((~icext(X0,sK13(X0,X2,X4)) | ~icext(X2,sK13(X0,X2,X4)) | ~icext(X4,sK13(X0,X2,X4))) & (icext(X0,sK13(X0,X2,X4)) | (icext(X2,sK13(X0,X2,X4)) & icext(X4,sK13(X0,X2,X4))))))), 0.06/0.37 introduced(choice_axiom,[])). 0.06/0.37 fof(f344,plain,( 0.06/0.37 ! [X0,X1,X2,X3,X4] : (((iext(uri_owl_intersectionOf,X0,X1) | ~ic(X0) | ~ic(X2) | ~ic(X4) | ((~icext(X0,sK13(X0,X2,X4)) | ~icext(X2,sK13(X0,X2,X4)) | ~icext(X4,sK13(X0,X2,X4))) & (icext(X0,sK13(X0,X2,X4)) | (icext(X2,sK13(X0,X2,X4)) & icext(X4,sK13(X0,X2,X4)))))) & ((ic(X0) & ic(X2) & ic(X4) & ! [X6] : (((icext(X2,X6) & icext(X4,X6)) | ~icext(X0,X6)) & (icext(X0,X6) | ~icext(X2,X6) | ~icext(X4,X6)))) | ~iext(uri_owl_intersectionOf,X0,X1))) | ~iext(uri_rdf_first,X3,X4) | ~iext(uri_rdf_rest,X3,uri_rdf_nil) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2))), 0.06/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f342,f343])). 0.06/0.37 fof(f362,plain,( 0.06/0.37 ? [X0,X1,X2,X3] : (iext(uri_rdf_type,uri_ex_A,uri_owl_Class) & iext(uri_rdf_type,uri_ex_B,uri_owl_Class) & iext(uri_rdf_type,uri_ex_w,X0) & iext(uri_rdf_first,X3,X1) & iext(uri_owl_complementOf,X1,uri_ex_A) & iext(uri_rdf_rest,X3,uri_rdf_nil) & iext(uri_rdf_rest,X2,X3) & iext(uri_rdf_first,X2,uri_ex_A) & iext(uri_owl_intersectionOf,X0,X2)) => (iext(uri_rdf_type,uri_ex_A,uri_owl_Class) & iext(uri_rdf_type,uri_ex_B,uri_owl_Class) & iext(uri_rdf_type,uri_ex_w,sK18) & iext(uri_rdf_first,sK21,sK19) & iext(uri_owl_complementOf,sK19,uri_ex_A) & iext(uri_rdf_rest,sK21,uri_rdf_nil) & iext(uri_rdf_rest,sK20,sK21) & iext(uri_rdf_first,sK20,uri_ex_A) & iext(uri_owl_intersectionOf,sK18,sK20))), 0.06/0.37 introduced(choice_axiom,[])). 0.06/0.37 fof(f363,plain,( 0.06/0.37 iext(uri_rdf_type,uri_ex_A,uri_owl_Class) & iext(uri_rdf_type,uri_ex_B,uri_owl_Class) & iext(uri_rdf_type,uri_ex_w,sK18) & iext(uri_rdf_first,sK21,sK19) & iext(uri_owl_complementOf,sK19,uri_ex_A) & iext(uri_rdf_rest,sK21,uri_rdf_nil) & iext(uri_rdf_rest,sK20,sK21) & iext(uri_rdf_first,sK20,uri_ex_A) & iext(uri_owl_intersectionOf,sK18,sK20)), 0.06/0.37 inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f209,f362])). 0.06/0.37 fof(f501,plain,( 0.06/0.37 ( ! [X2,X0,X1] : (~iext(uri_owl_complementOf,X0,X1) | ~icext(X0,X2) | ~icext(X1,X2)) )), 0.06/0.37 inference(cnf_transformation,[],[f299])). 0.06/0.37 fof(f517,plain,( 0.06/0.37 ( ! [X0,X1] : (~iext(uri_rdf_type,X0,X1) | icext(X1,X0)) )), 0.06/0.37 inference(cnf_transformation,[],[f300])). 0.06/0.37 fof(f565,plain,( 0.06/0.37 ( ! [X6,X4,X2,X0,X3,X1] : (~iext(uri_rdf_first,X3,X4) | ~icext(X0,X6) | ~iext(uri_owl_intersectionOf,X0,X1) | icext(X4,X6) | ~iext(uri_rdf_rest,X3,uri_rdf_nil) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2)) )), 0.06/0.37 inference(cnf_transformation,[],[f344])). 0.06/0.37 fof(f566,plain,( 0.06/0.37 ( ! [X6,X4,X2,X0,X3,X1] : (~iext(uri_rdf_first,X3,X4) | ~icext(X0,X6) | ~iext(uri_owl_intersectionOf,X0,X1) | icext(X2,X6) | ~iext(uri_rdf_rest,X3,uri_rdf_nil) | ~iext(uri_rdf_rest,X1,X3) | ~iext(uri_rdf_first,X1,X2)) )), 0.06/0.37 inference(cnf_transformation,[],[f344])). 0.06/0.37 fof(f607,plain,( 0.06/0.37 iext(uri_owl_intersectionOf,sK18,sK20)), 0.06/0.37 inference(cnf_transformation,[],[f363])). 0.06/0.37 fof(f608,plain,( 0.06/0.37 iext(uri_rdf_first,sK20,uri_ex_A)), 0.06/0.37 inference(cnf_transformation,[],[f363])). 0.06/0.37 fof(f609,plain,( 0.06/0.37 iext(uri_rdf_rest,sK20,sK21)), 0.06/0.37 inference(cnf_transformation,[],[f363])). 0.06/0.37 fof(f610,plain,( 0.06/0.37 iext(uri_rdf_rest,sK21,uri_rdf_nil)), 0.06/0.37 inference(cnf_transformation,[],[f363])). 0.06/0.37 fof(f611,plain,( 0.06/0.37 iext(uri_owl_complementOf,sK19,uri_ex_A)), 0.06/0.37 inference(cnf_transformation,[],[f363])). 0.06/0.37 fof(f612,plain,( 0.06/0.37 iext(uri_rdf_first,sK21,sK19)), 0.06/0.37 inference(cnf_transformation,[],[f363])). 0.06/0.37 fof(f613,plain,( 0.06/0.37 iext(uri_rdf_type,uri_ex_w,sK18)), 0.06/0.37 inference(cnf_transformation,[],[f363])). 0.06/0.37 fof(f1157,plain,( 0.06/0.37 icext(sK18,uri_ex_w)), 0.06/0.37 inference(unit_resulting_resolution,[],[f613,f517])). 0.06/0.37 fof(f2600,plain,( 0.06/0.37 icext(sK19,uri_ex_w)), 0.06/0.37 inference(unit_resulting_resolution,[],[f1157,f608,f607,f609,f612,f610,f565])). 0.06/0.37 fof(f2620,plain,( 0.06/0.37 icext(uri_ex_A,uri_ex_w)), 0.06/0.37 inference(unit_resulting_resolution,[],[f1157,f608,f607,f609,f612,f610,f566])). 0.06/0.37 fof(f3090,plain,( 0.06/0.37 $false), 0.06/0.37 inference(unit_resulting_resolution,[],[f2600,f611,f2620,f501])). 0.06/0.37 % SZS output end Proof for theBenchmark 0.06/0.37 % ------------------------------ 0.06/0.37 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.06/0.37 % Termination reason: Refutation 0.06/0.37 0.06/0.37 % Memory used [KB]: 6780 0.06/0.37 % Time elapsed: 0.066 s 0.06/0.37 % ------------------------------ 0.06/0.37 % ------------------------------ 0.06/0.37 % Success in time 0.098 s 0.06/0.38 EOF