0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.02/0.24 % Computer : n117.star.cs.uiowa.edu 0.02/0.24 % Model : x86_64 x86_64 0.02/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.24 % Memory : 32218.625MB 0.02/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.24 % CPULimit : 300 0.02/0.24 % DateTime : Sat Jul 14 05:33:55 CDT 2018 0.02/0.24 % CPUTime : 0.02/0.28 % lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark 0.07/0.36 % Refutation found. Thanks to Tanya! 0.07/0.36 % SZS status Theorem for theBenchmark 0.07/0.36 % SZS output start Proof for theBenchmark 0.07/0.36 fof(f11,axiom,( 0.07/0.36 ! [X2,X0] : (inner_point(X2,X0) <=> (incident_c(X2,X0) & ~end_point(X2,X0)))), 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',inner_point_defn)). 0.07/0.36 fof(f12,axiom,( 0.07/0.36 ! [X0,X1] : (! [X2] : (incident_c(X2,X1) => incident_c(X2,X0)) <=> part_of(X1,X0))), 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',part_of_defn)). 0.07/0.36 fof(f16,axiom,( 0.07/0.36 ! [X2,X0] : ((! [X1,X3] : ((part_of(X3,X0) & incident_c(X2,X3) & incident_c(X2,X1) & part_of(X1,X0)) => (part_of(X1,X3) | part_of(X3,X1))) & incident_c(X2,X0)) <=> end_point(X2,X0))), 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',end_point_defn)). 0.07/0.36 fof(f17,conjecture,( 0.07/0.36 ! [X0,X2] : (? [X7] : (part_of(X7,X0) & inner_point(X2,X7)) => inner_point(X2,X0))), 0.07/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_2_11)). 0.07/0.36 fof(f18,negated_conjecture,( 0.07/0.36 ~! [X0,X2] : (? [X7] : (part_of(X7,X0) & inner_point(X2,X7)) => inner_point(X2,X0))), 0.07/0.36 inference(negated_conjecture,[],[f17])). 0.07/0.36 fof(f19,plain,( 0.07/0.36 ~! [X0,X1] : (? [X2] : (part_of(X2,X0) & inner_point(X1,X2)) => inner_point(X1,X0))), 0.07/0.36 inference(rectify,[],[f18])). 0.07/0.36 fof(f21,plain,( 0.07/0.36 ! [X0,X1] : ((! [X2,X3] : ((part_of(X3,X1) & incident_c(X0,X3) & incident_c(X0,X2) & part_of(X2,X1)) => (part_of(X2,X3) | part_of(X3,X2))) & incident_c(X0,X1)) <=> end_point(X0,X1))), 0.07/0.36 inference(rectify,[],[f16])). 0.07/0.36 fof(f22,plain,( 0.07/0.36 ! [X0,X1] : (inner_point(X0,X1) <=> (incident_c(X0,X1) & ~end_point(X0,X1)))), 0.07/0.36 inference(rectify,[],[f11])). 0.07/0.36 fof(f30,plain,( 0.07/0.36 ? [X0,X1] : (~inner_point(X1,X0) & ? [X2] : (part_of(X2,X0) & inner_point(X1,X2)))), 0.07/0.36 inference(ennf_transformation,[],[f19])). 0.07/0.36 fof(f33,plain,( 0.07/0.36 ! [X0,X1] : (! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) <=> part_of(X1,X0))), 0.07/0.36 inference(ennf_transformation,[],[f12])). 0.07/0.36 fof(f34,plain,( 0.07/0.36 ! [X0,X1] : ((! [X2,X3] : ((part_of(X2,X3) | part_of(X3,X2)) | (~part_of(X3,X1) | ~incident_c(X0,X3) | ~incident_c(X0,X2) | ~part_of(X2,X1))) & incident_c(X0,X1)) <=> end_point(X0,X1))), 0.07/0.36 inference(ennf_transformation,[],[f21])). 0.07/0.36 fof(f35,plain,( 0.07/0.36 ! [X0,X1] : ((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~incident_c(X0,X2) | ~part_of(X2,X1)) & incident_c(X0,X1)) <=> end_point(X0,X1))), 0.07/0.36 inference(flattening,[],[f34])). 0.07/0.36 fof(f44,plain,( 0.07/0.36 ! [X1,X0] : (sP0(X1,X0) <=> (! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~incident_c(X0,X2) | ~part_of(X2,X1)) & incident_c(X0,X1)))), 0.07/0.36 introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])])). 0.07/0.36 fof(f45,plain,( 0.07/0.36 ! [X0,X1] : (sP0(X1,X0) <=> end_point(X0,X1))), 0.07/0.36 inference(definition_folding,[],[f35,f44])). 0.07/0.36 fof(f48,plain,( 0.07/0.36 ? [X0,X1] : (~inner_point(X1,X0) & ? [X2] : (part_of(X2,X0) & inner_point(X1,X2))) => (~inner_point(sK3,sK2) & ? [X2] : (part_of(X2,sK2) & inner_point(sK3,X2)))), 0.07/0.36 introduced(choice_axiom,[])). 0.07/0.36 fof(f49,plain,( 0.07/0.36 ( ! [X0,X1] : (? [X2] : (part_of(X2,X0) & inner_point(X1,X2)) => (part_of(sK4,X0) & inner_point(X1,sK4))) )), 0.07/0.36 introduced(choice_axiom,[])). 0.07/0.36 fof(f50,plain,( 0.07/0.36 ~inner_point(sK3,sK2) & (part_of(sK4,sK2) & inner_point(sK3,sK4))), 0.07/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4])],[f30,f49,f48])). 0.07/0.36 fof(f51,plain,( 0.07/0.36 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | ? [X2] : (~incident_c(X2,X0) & incident_c(X2,X1))))), 0.07/0.36 inference(nnf_transformation,[],[f33])). 0.07/0.36 fof(f52,plain,( 0.07/0.36 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | ? [X3] : (~incident_c(X3,X0) & incident_c(X3,X1))))), 0.07/0.36 inference(rectify,[],[f51])). 0.07/0.36 fof(f53,plain,( 0.07/0.36 ! [X1,X0] : (? [X3] : (~incident_c(X3,X0) & incident_c(X3,X1)) => (~incident_c(sK5(X0,X1),X0) & incident_c(sK5(X0,X1),X1)))), 0.07/0.36 introduced(choice_axiom,[])). 0.07/0.36 fof(f54,plain,( 0.07/0.36 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | (~incident_c(sK5(X0,X1),X0) & incident_c(sK5(X0,X1),X1))))), 0.07/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f52,f53])). 0.07/0.36 fof(f55,plain,( 0.07/0.36 ! [X1,X0] : ((sP0(X1,X0) | (? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & part_of(X3,X1) & incident_c(X0,X3) & incident_c(X0,X2) & part_of(X2,X1)) | ~incident_c(X0,X1))) & ((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~incident_c(X0,X2) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~sP0(X1,X0)))), 0.07/0.36 inference(nnf_transformation,[],[f44])). 0.07/0.36 fof(f56,plain,( 0.07/0.36 ! [X1,X0] : ((sP0(X1,X0) | ? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & part_of(X3,X1) & incident_c(X0,X3) & incident_c(X0,X2) & part_of(X2,X1)) | ~incident_c(X0,X1)) & ((! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~incident_c(X0,X2) | ~part_of(X2,X1)) & incident_c(X0,X1)) | ~sP0(X1,X0)))), 0.07/0.36 inference(flattening,[],[f55])). 0.07/0.36 fof(f57,plain,( 0.07/0.36 ! [X0,X1] : ((sP0(X0,X1) | ? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & part_of(X3,X0) & incident_c(X1,X3) & incident_c(X1,X2) & part_of(X2,X0)) | ~incident_c(X1,X0)) & ((! [X4,X5] : (part_of(X4,X5) | part_of(X5,X4) | ~part_of(X5,X0) | ~incident_c(X1,X5) | ~incident_c(X1,X4) | ~part_of(X4,X0)) & incident_c(X1,X0)) | ~sP0(X0,X1)))), 0.07/0.36 inference(rectify,[],[f56])). 0.07/0.36 fof(f58,plain,( 0.07/0.36 ! [X1,X0] : (? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & part_of(X3,X0) & incident_c(X1,X3) & incident_c(X1,X2) & part_of(X2,X0)) => (~part_of(sK6(X0,X1),sK7(X0,X1)) & ~part_of(sK7(X0,X1),sK6(X0,X1)) & part_of(sK7(X0,X1),X0) & incident_c(X1,sK7(X0,X1)) & incident_c(X1,sK6(X0,X1)) & part_of(sK6(X0,X1),X0)))), 0.07/0.36 introduced(choice_axiom,[])). 0.07/0.36 fof(f59,plain,( 0.07/0.36 ! [X0,X1] : ((sP0(X0,X1) | (~part_of(sK6(X0,X1),sK7(X0,X1)) & ~part_of(sK7(X0,X1),sK6(X0,X1)) & part_of(sK7(X0,X1),X0) & incident_c(X1,sK7(X0,X1)) & incident_c(X1,sK6(X0,X1)) & part_of(sK6(X0,X1),X0)) | ~incident_c(X1,X0)) & ((! [X4,X5] : (part_of(X4,X5) | part_of(X5,X4) | ~part_of(X5,X0) | ~incident_c(X1,X5) | ~incident_c(X1,X4) | ~part_of(X4,X0)) & incident_c(X1,X0)) | ~sP0(X0,X1)))), 0.07/0.36 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7])],[f57,f58])). 0.07/0.36 fof(f60,plain,( 0.07/0.36 ! [X0,X1] : ((sP0(X1,X0) | ~end_point(X0,X1)) & (end_point(X0,X1) | ~sP0(X1,X0)))), 0.07/0.36 inference(nnf_transformation,[],[f45])). 0.07/0.36 fof(f61,plain,( 0.07/0.36 ! [X0,X1] : ((inner_point(X0,X1) | (~incident_c(X0,X1) | end_point(X0,X1))) & ((incident_c(X0,X1) & ~end_point(X0,X1)) | ~inner_point(X0,X1)))), 0.07/0.36 inference(nnf_transformation,[],[f22])). 0.07/0.36 fof(f62,plain,( 0.07/0.36 ! [X0,X1] : ((inner_point(X0,X1) | ~incident_c(X0,X1) | end_point(X0,X1)) & ((incident_c(X0,X1) & ~end_point(X0,X1)) | ~inner_point(X0,X1)))), 0.07/0.36 inference(flattening,[],[f61])). 0.07/0.36 fof(f86,plain,( 0.07/0.36 inner_point(sK3,sK4)), 0.07/0.36 inference(cnf_transformation,[],[f50])). 0.07/0.36 fof(f87,plain,( 0.07/0.36 part_of(sK4,sK2)), 0.07/0.36 inference(cnf_transformation,[],[f50])). 0.07/0.36 fof(f88,plain,( 0.07/0.36 ~inner_point(sK3,sK2)), 0.07/0.36 inference(cnf_transformation,[],[f50])). 0.07/0.36 fof(f90,plain,( 0.07/0.36 ( ! [X0,X1] : (incident_c(sK5(X0,X1),X1) | part_of(X1,X0)) )), 0.07/0.36 inference(cnf_transformation,[],[f54])). 0.07/0.36 fof(f91,plain,( 0.07/0.36 ( ! [X0,X1] : (part_of(X1,X0) | ~incident_c(sK5(X0,X1),X0)) )), 0.07/0.36 inference(cnf_transformation,[],[f54])). 0.07/0.36 fof(f92,plain,( 0.07/0.36 ( ! [X2,X0,X1] : (incident_c(X2,X0) | ~incident_c(X2,X1) | ~part_of(X1,X0)) )), 0.07/0.36 inference(cnf_transformation,[],[f54])). 0.07/0.37 fof(f94,plain,( 0.07/0.37 ( ! [X4,X0,X5,X1] : (part_of(X4,X5) | part_of(X5,X4) | ~part_of(X5,X0) | ~incident_c(X1,X5) | ~incident_c(X1,X4) | ~part_of(X4,X0) | ~sP0(X0,X1)) )), 0.07/0.37 inference(cnf_transformation,[],[f59])). 0.07/0.37 fof(f95,plain,( 0.07/0.37 ( ! [X0,X1] : (part_of(sK6(X0,X1),X0) | sP0(X0,X1) | ~incident_c(X1,X0)) )), 0.07/0.37 inference(cnf_transformation,[],[f59])). 0.07/0.37 fof(f96,plain,( 0.07/0.37 ( ! [X0,X1] : (incident_c(X1,sK6(X0,X1)) | sP0(X0,X1) | ~incident_c(X1,X0)) )), 0.07/0.37 inference(cnf_transformation,[],[f59])). 0.07/0.37 fof(f97,plain,( 0.07/0.37 ( ! [X0,X1] : (incident_c(X1,sK7(X0,X1)) | sP0(X0,X1) | ~incident_c(X1,X0)) )), 0.07/0.37 inference(cnf_transformation,[],[f59])). 0.07/0.37 fof(f98,plain,( 0.07/0.37 ( ! [X0,X1] : (part_of(sK7(X0,X1),X0) | sP0(X0,X1) | ~incident_c(X1,X0)) )), 0.07/0.37 inference(cnf_transformation,[],[f59])). 0.07/0.37 fof(f99,plain,( 0.07/0.37 ( ! [X0,X1] : (sP0(X0,X1) | ~part_of(sK7(X0,X1),sK6(X0,X1)) | ~incident_c(X1,X0)) )), 0.07/0.37 inference(cnf_transformation,[],[f59])). 0.07/0.37 fof(f100,plain,( 0.07/0.37 ( ! [X0,X1] : (sP0(X0,X1) | ~part_of(sK6(X0,X1),sK7(X0,X1)) | ~incident_c(X1,X0)) )), 0.07/0.37 inference(cnf_transformation,[],[f59])). 0.07/0.37 fof(f101,plain,( 0.07/0.37 ( ! [X0,X1] : (end_point(X0,X1) | ~sP0(X1,X0)) )), 0.07/0.37 inference(cnf_transformation,[],[f60])). 0.07/0.37 fof(f102,plain,( 0.07/0.37 ( ! [X0,X1] : (sP0(X1,X0) | ~end_point(X0,X1)) )), 0.07/0.37 inference(cnf_transformation,[],[f60])). 0.07/0.37 fof(f103,plain,( 0.07/0.37 ( ! [X0,X1] : (~inner_point(X0,X1) | ~end_point(X0,X1)) )), 0.07/0.37 inference(cnf_transformation,[],[f62])). 0.07/0.37 fof(f104,plain,( 0.07/0.37 ( ! [X0,X1] : (incident_c(X0,X1) | ~inner_point(X0,X1)) )), 0.07/0.37 inference(cnf_transformation,[],[f62])). 0.07/0.37 fof(f105,plain,( 0.07/0.37 ( ! [X0,X1] : (inner_point(X0,X1) | ~incident_c(X0,X1) | end_point(X0,X1)) )), 0.07/0.37 inference(cnf_transformation,[],[f62])). 0.07/0.37 fof(f139,plain,( 0.07/0.37 ~end_point(sK3,sK4)), 0.07/0.37 inference(resolution,[],[f86,f103])). 0.07/0.37 fof(f140,plain,( 0.07/0.37 ~incident_c(sK3,sK2) | end_point(sK3,sK2)), 0.07/0.37 inference(resolution,[],[f88,f105])). 0.07/0.37 fof(f145,plain,( 0.07/0.37 spl19_0 <=> end_point(sK3,sK2)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_0])])). 0.07/0.37 fof(f146,plain,( 0.07/0.37 end_point(sK3,sK2) | ~spl19_0), 0.07/0.37 inference(avatar_component_clause,[],[f145])). 0.07/0.37 fof(f151,plain,( 0.07/0.37 spl19_3 <=> ~incident_c(sK3,sK2)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_3])])). 0.07/0.37 fof(f152,plain,( 0.07/0.37 ~incident_c(sK3,sK2) | ~spl19_3), 0.07/0.37 inference(avatar_component_clause,[],[f151])). 0.07/0.37 fof(f153,plain,( 0.07/0.37 spl19_0 | ~spl19_3), 0.07/0.37 inference(avatar_split_clause,[],[f140,f151,f145])). 0.07/0.37 fof(f154,plain,( 0.07/0.37 ~sP0(sK4,sK3)), 0.07/0.37 inference(resolution,[],[f139,f101])). 0.07/0.37 fof(f161,plain,( 0.07/0.37 spl19_6 <=> incident_c(sK3,sK4)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_6])])). 0.07/0.37 fof(f162,plain,( 0.07/0.37 incident_c(sK3,sK4) | ~spl19_6), 0.07/0.37 inference(avatar_component_clause,[],[f161])). 0.07/0.37 fof(f164,plain,( 0.07/0.37 spl19_7 <=> ~incident_c(sK3,sK4)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_7])])). 0.07/0.37 fof(f165,plain,( 0.07/0.37 ~incident_c(sK3,sK4) | ~spl19_7), 0.07/0.37 inference(avatar_component_clause,[],[f164])). 0.07/0.37 fof(f176,plain,( 0.07/0.37 ( ! [X3] : (~part_of(X3,sK2) | ~incident_c(sK3,X3)) ) | ~spl19_3), 0.07/0.37 inference(resolution,[],[f152,f92])). 0.07/0.37 fof(f178,plain,( 0.07/0.37 ~part_of(sK7(sK4,sK3),sK6(sK4,sK3)) | ~incident_c(sK3,sK4)), 0.07/0.37 inference(resolution,[],[f154,f99])). 0.07/0.37 fof(f179,plain,( 0.07/0.37 ~part_of(sK6(sK4,sK3),sK7(sK4,sK3)) | ~incident_c(sK3,sK4)), 0.07/0.37 inference(resolution,[],[f154,f100])). 0.07/0.37 fof(f183,plain,( 0.07/0.37 ~inner_point(sK3,sK4) | ~spl19_7), 0.07/0.37 inference(resolution,[],[f165,f104])). 0.07/0.37 fof(f186,plain,( 0.07/0.37 $false | ~spl19_7), 0.07/0.37 inference(subsumption_resolution,[],[f183,f86])). 0.07/0.37 fof(f187,plain,( 0.07/0.37 spl19_7), 0.07/0.37 inference(avatar_contradiction_clause,[],[f186])). 0.07/0.37 fof(f192,plain,( 0.07/0.37 spl19_11 <=> ~part_of(sK6(sK4,sK3),sK7(sK4,sK3))), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_11])])). 0.07/0.37 fof(f193,plain,( 0.07/0.37 ~part_of(sK6(sK4,sK3),sK7(sK4,sK3)) | ~spl19_11), 0.07/0.37 inference(avatar_component_clause,[],[f192])). 0.07/0.37 fof(f194,plain,( 0.07/0.37 ~spl19_7 | ~spl19_11), 0.07/0.37 inference(avatar_split_clause,[],[f179,f192,f164])). 0.07/0.37 fof(f199,plain,( 0.07/0.37 spl19_13 <=> ~part_of(sK7(sK4,sK3),sK6(sK4,sK3))), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_13])])). 0.07/0.37 fof(f200,plain,( 0.07/0.37 ~part_of(sK7(sK4,sK3),sK6(sK4,sK3)) | ~spl19_13), 0.07/0.37 inference(avatar_component_clause,[],[f199])). 0.07/0.37 fof(f201,plain,( 0.07/0.37 ~spl19_7 | ~spl19_13), 0.07/0.37 inference(avatar_split_clause,[],[f178,f199,f164])). 0.07/0.37 fof(f220,plain,( 0.07/0.37 ~incident_c(sK3,sK4) | ~spl19_3), 0.07/0.37 inference(resolution,[],[f176,f87])). 0.07/0.37 fof(f223,plain,( 0.07/0.37 $false | (~spl19_3 | ~spl19_6)), 0.07/0.37 inference(subsumption_resolution,[],[f220,f162])). 0.07/0.37 fof(f224,plain,( 0.07/0.37 spl19_3 | ~spl19_6), 0.07/0.37 inference(avatar_contradiction_clause,[],[f223])). 0.07/0.37 fof(f232,plain,( 0.07/0.37 ( ! [X0,X1] : (part_of(sK7(sK4,sK3),sK6(sK4,sK3)) | ~part_of(sK7(sK4,sK3),X0) | ~incident_c(X1,sK7(sK4,sK3)) | ~incident_c(X1,sK6(sK4,sK3)) | ~part_of(sK6(sK4,sK3),X0) | ~sP0(X0,X1)) ) | ~spl19_11), 0.07/0.37 inference(resolution,[],[f193,f94])). 0.07/0.37 fof(f235,plain,( 0.07/0.37 ( ! [X0,X1] : (~sP0(X0,X1) | ~incident_c(X1,sK7(sK4,sK3)) | ~incident_c(X1,sK6(sK4,sK3)) | ~part_of(sK6(sK4,sK3),X0) | ~part_of(sK7(sK4,sK3),X0)) ) | (~spl19_11 | ~spl19_13)), 0.07/0.37 inference(subsumption_resolution,[],[f232,f200])). 0.07/0.37 fof(f495,plain,( 0.07/0.37 ( ! [X0,X1] : (~part_of(sK7(sK4,sK3),X1) | ~incident_c(X0,sK6(sK4,sK3)) | ~part_of(sK6(sK4,sK3),X1) | ~incident_c(X0,sK7(sK4,sK3)) | ~end_point(X0,X1)) ) | (~spl19_11 | ~spl19_13)), 0.07/0.37 inference(resolution,[],[f235,f102])). 0.07/0.37 fof(f590,plain,( 0.07/0.37 ( ! [X6,X5] : (~part_of(sK6(sK4,sK3),X6) | ~incident_c(X5,sK6(sK4,sK3)) | ~incident_c(X5,sK7(sK4,sK3)) | ~end_point(X5,X6) | ~incident_c(sK5(X6,sK7(sK4,sK3)),X6)) ) | (~spl19_11 | ~spl19_13)), 0.07/0.37 inference(resolution,[],[f495,f91])). 0.07/0.37 fof(f595,plain,( 0.07/0.37 spl19_24 <=> part_of(sK6(sK4,sK3),sK4)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_24])])). 0.07/0.37 fof(f596,plain,( 0.07/0.37 part_of(sK6(sK4,sK3),sK4) | ~spl19_24), 0.07/0.37 inference(avatar_component_clause,[],[f595])). 0.07/0.37 fof(f598,plain,( 0.07/0.37 spl19_25 <=> ~part_of(sK6(sK4,sK3),sK4)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_25])])). 0.07/0.37 fof(f599,plain,( 0.07/0.37 ~part_of(sK6(sK4,sK3),sK4) | ~spl19_25), 0.07/0.37 inference(avatar_component_clause,[],[f598])). 0.07/0.37 fof(f604,plain,( 0.07/0.37 sP0(sK4,sK3) | ~incident_c(sK3,sK4) | ~spl19_25), 0.07/0.37 inference(resolution,[],[f599,f95])). 0.07/0.37 fof(f608,plain,( 0.07/0.37 ~incident_c(sK3,sK4) | ~spl19_25), 0.07/0.37 inference(subsumption_resolution,[],[f604,f154])). 0.07/0.37 fof(f609,plain,( 0.07/0.37 $false | (~spl19_6 | ~spl19_25)), 0.07/0.37 inference(subsumption_resolution,[],[f608,f162])). 0.07/0.37 fof(f610,plain,( 0.07/0.37 ~spl19_6 | spl19_25), 0.07/0.37 inference(avatar_contradiction_clause,[],[f609])). 0.07/0.37 fof(f876,plain,( 0.07/0.37 ( ! [X6,X7] : (~end_point(X6,X7) | ~incident_c(X6,sK7(sK4,sK3)) | ~incident_c(X6,sK6(sK4,sK3)) | ~incident_c(sK5(X7,sK7(sK4,sK3)),X7) | ~incident_c(sK5(X7,sK6(sK4,sK3)),X7)) ) | (~spl19_11 | ~spl19_13)), 0.07/0.37 inference(resolution,[],[f590,f91])). 0.07/0.37 fof(f1530,plain,( 0.07/0.37 ~incident_c(sK3,sK7(sK4,sK3)) | ~incident_c(sK3,sK6(sK4,sK3)) | ~incident_c(sK5(sK2,sK7(sK4,sK3)),sK2) | ~incident_c(sK5(sK2,sK6(sK4,sK3)),sK2) | (~spl19_0 | ~spl19_11 | ~spl19_13)), 0.07/0.37 inference(resolution,[],[f876,f146])). 0.07/0.37 fof(f1532,plain,( 0.07/0.37 spl19_46 <=> incident_c(sK5(sK2,sK6(sK4,sK3)),sK2)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_46])])). 0.07/0.37 fof(f1533,plain,( 0.07/0.37 incident_c(sK5(sK2,sK6(sK4,sK3)),sK2) | ~spl19_46), 0.07/0.37 inference(avatar_component_clause,[],[f1532])). 0.07/0.37 fof(f1535,plain,( 0.07/0.37 spl19_47 <=> ~incident_c(sK5(sK2,sK6(sK4,sK3)),sK2)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_47])])). 0.07/0.37 fof(f1536,plain,( 0.07/0.37 ~incident_c(sK5(sK2,sK6(sK4,sK3)),sK2) | ~spl19_47), 0.07/0.37 inference(avatar_component_clause,[],[f1535])). 0.07/0.37 fof(f1541,plain,( 0.07/0.37 spl19_49 <=> ~incident_c(sK5(sK2,sK7(sK4,sK3)),sK2)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_49])])). 0.07/0.37 fof(f1542,plain,( 0.07/0.37 ~incident_c(sK5(sK2,sK7(sK4,sK3)),sK2) | ~spl19_49), 0.07/0.37 inference(avatar_component_clause,[],[f1541])). 0.07/0.37 fof(f1544,plain,( 0.07/0.37 spl19_50 <=> incident_c(sK3,sK6(sK4,sK3))), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_50])])). 0.07/0.37 fof(f1545,plain,( 0.07/0.37 incident_c(sK3,sK6(sK4,sK3)) | ~spl19_50), 0.07/0.37 inference(avatar_component_clause,[],[f1544])). 0.07/0.37 fof(f1547,plain,( 0.07/0.37 spl19_51 <=> ~incident_c(sK3,sK6(sK4,sK3))), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_51])])). 0.07/0.37 fof(f1548,plain,( 0.07/0.37 ~incident_c(sK3,sK6(sK4,sK3)) | ~spl19_51), 0.07/0.37 inference(avatar_component_clause,[],[f1547])). 0.07/0.37 fof(f1550,plain,( 0.07/0.37 spl19_52 <=> incident_c(sK3,sK7(sK4,sK3))), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_52])])). 0.07/0.37 fof(f1551,plain,( 0.07/0.37 incident_c(sK3,sK7(sK4,sK3)) | ~spl19_52), 0.07/0.37 inference(avatar_component_clause,[],[f1550])). 0.07/0.37 fof(f1553,plain,( 0.07/0.37 spl19_53 <=> ~incident_c(sK3,sK7(sK4,sK3))), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_53])])). 0.07/0.37 fof(f1554,plain,( 0.07/0.37 ~incident_c(sK3,sK7(sK4,sK3)) | ~spl19_53), 0.07/0.37 inference(avatar_component_clause,[],[f1553])). 0.07/0.37 fof(f1555,plain,( 0.07/0.37 ~spl19_47 | ~spl19_49 | ~spl19_51 | ~spl19_53 | ~spl19_0 | spl19_11 | spl19_13), 0.07/0.37 inference(avatar_split_clause,[],[f1530,f199,f192,f145,f1553,f1547,f1541,f1535])). 0.07/0.37 fof(f1561,plain,( 0.07/0.37 ( ! [X3] : (~part_of(X3,sK2) | ~incident_c(sK5(sK2,sK6(sK4,sK3)),X3)) ) | ~spl19_47), 0.07/0.37 inference(resolution,[],[f1536,f92])). 0.07/0.37 fof(f1584,plain,( 0.07/0.37 ~incident_c(sK5(sK2,sK6(sK4,sK3)),sK4) | ~spl19_47), 0.07/0.37 inference(resolution,[],[f1561,f87])). 0.07/0.37 fof(f1592,plain,( 0.07/0.37 ( ! [X3] : (~part_of(X3,sK4) | ~incident_c(sK5(sK2,sK6(sK4,sK3)),X3)) ) | ~spl19_47), 0.07/0.37 inference(resolution,[],[f1584,f92])). 0.07/0.37 fof(f1616,plain,( 0.07/0.37 ~incident_c(sK5(sK2,sK6(sK4,sK3)),sK6(sK4,sK3)) | (~spl19_24 | ~spl19_47)), 0.07/0.37 inference(resolution,[],[f1592,f596])). 0.07/0.37 fof(f1619,plain,( 0.07/0.37 part_of(sK6(sK4,sK3),sK2) | (~spl19_24 | ~spl19_47)), 0.07/0.37 inference(resolution,[],[f1616,f90])). 0.07/0.37 fof(f1627,plain,( 0.07/0.37 ( ! [X2] : (~incident_c(X2,sK6(sK4,sK3)) | ~incident_c(X2,sK7(sK4,sK3)) | ~end_point(X2,sK2) | ~incident_c(sK5(sK2,sK7(sK4,sK3)),sK2)) ) | (~spl19_11 | ~spl19_13 | ~spl19_24 | ~spl19_47)), 0.07/0.37 inference(resolution,[],[f1619,f590])). 0.07/0.37 fof(f1630,plain,( 0.07/0.37 spl19_54 <=> ! [X2] : (~incident_c(X2,sK6(sK4,sK3)) | ~end_point(X2,sK2) | ~incident_c(X2,sK7(sK4,sK3)))), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_54])])). 0.07/0.37 fof(f1631,plain,( 0.07/0.37 ( ! [X2] : (~end_point(X2,sK2) | ~incident_c(X2,sK6(sK4,sK3)) | ~incident_c(X2,sK7(sK4,sK3))) ) | ~spl19_54), 0.07/0.37 inference(avatar_component_clause,[],[f1630])). 0.07/0.37 fof(f1632,plain,( 0.07/0.37 ~spl19_49 | spl19_54 | spl19_11 | spl19_13 | ~spl19_24 | spl19_47), 0.07/0.37 inference(avatar_split_clause,[],[f1627,f1535,f595,f199,f192,f1630,f1541])). 0.07/0.37 fof(f1643,plain,( 0.07/0.37 ( ! [X3] : (~part_of(X3,sK2) | ~incident_c(sK5(sK2,sK7(sK4,sK3)),X3)) ) | ~spl19_49), 0.07/0.37 inference(resolution,[],[f1542,f92])). 0.07/0.37 fof(f1672,plain,( 0.07/0.37 ~incident_c(sK5(sK2,sK7(sK4,sK3)),sK4) | ~spl19_49), 0.07/0.37 inference(resolution,[],[f1643,f87])). 0.07/0.37 fof(f1681,plain,( 0.07/0.37 ( ! [X3] : (~part_of(X3,sK4) | ~incident_c(sK5(sK2,sK7(sK4,sK3)),X3)) ) | ~spl19_49), 0.07/0.37 inference(resolution,[],[f1672,f92])). 0.07/0.37 fof(f1722,plain,( 0.07/0.37 ( ! [X8] : (~incident_c(sK5(sK2,sK7(sK4,sK3)),sK7(sK4,X8)) | sP0(sK4,X8) | ~incident_c(X8,sK4)) ) | ~spl19_49), 0.07/0.37 inference(resolution,[],[f1681,f98])). 0.07/0.37 fof(f2014,plain,( 0.07/0.37 sP0(sK4,sK3) | ~incident_c(sK3,sK4) | part_of(sK7(sK4,sK3),sK2) | ~spl19_49), 0.07/0.37 inference(resolution,[],[f1722,f90])). 0.07/0.37 fof(f2022,plain,( 0.07/0.37 ~incident_c(sK3,sK4) | part_of(sK7(sK4,sK3),sK2) | ~spl19_49), 0.07/0.37 inference(subsumption_resolution,[],[f2014,f154])). 0.07/0.37 fof(f2023,plain,( 0.07/0.37 part_of(sK7(sK4,sK3),sK2) | (~spl19_6 | ~spl19_49)), 0.07/0.37 inference(subsumption_resolution,[],[f2022,f162])). 0.07/0.37 fof(f2025,plain,( 0.07/0.37 ( ! [X2] : (~incident_c(X2,sK6(sK4,sK3)) | ~part_of(sK6(sK4,sK3),sK2) | ~incident_c(X2,sK7(sK4,sK3)) | ~end_point(X2,sK2)) ) | (~spl19_6 | ~spl19_11 | ~spl19_13 | ~spl19_49)), 0.07/0.37 inference(resolution,[],[f2023,f495])). 0.07/0.37 fof(f2035,plain,( 0.07/0.37 ( ! [X2] : (~incident_c(X2,sK6(sK4,sK3)) | ~incident_c(X2,sK7(sK4,sK3)) | ~end_point(X2,sK2)) ) | (~spl19_6 | ~spl19_11 | ~spl19_13 | ~spl19_24 | ~spl19_47 | ~spl19_49)), 0.07/0.37 inference(subsumption_resolution,[],[f2025,f1619])). 0.07/0.37 fof(f2036,plain,( 0.07/0.37 spl19_54 | ~spl19_6 | spl19_11 | spl19_13 | ~spl19_24 | spl19_47 | spl19_49), 0.07/0.37 inference(avatar_split_clause,[],[f2035,f1541,f1535,f595,f199,f192,f161,f1630])). 0.07/0.37 fof(f2048,plain,( 0.07/0.37 spl19_59 <=> ~part_of(sK6(sK4,sK3),sK2)), 0.07/0.37 introduced(avatar_definition,[new_symbols(naming,[spl19_59])])). 0.07/0.37 fof(f2049,plain,( 0.07/0.37 ~part_of(sK6(sK4,sK3),sK2) | ~spl19_59), 0.07/0.37 inference(avatar_component_clause,[],[f2048])). 0.07/0.37 fof(f2063,plain,( 0.07/0.37 ~spl19_59 | spl19_54 | ~spl19_6 | spl19_11 | spl19_13 | spl19_49), 0.07/0.37 inference(avatar_split_clause,[],[f2025,f1541,f199,f192,f161,f1630,f2048])). 0.07/0.37 fof(f2065,plain,( 0.07/0.37 ~incident_c(sK5(sK2,sK6(sK4,sK3)),sK2) | ~spl19_59), 0.07/0.37 inference(resolution,[],[f2049,f91])). 0.07/0.37 fof(f2077,plain,( 0.07/0.37 $false | (~spl19_46 | ~spl19_59)), 0.07/0.37 inference(subsumption_resolution,[],[f2065,f1533])). 0.07/0.37 fof(f2078,plain,( 0.07/0.37 ~spl19_46 | spl19_59), 0.07/0.37 inference(avatar_contradiction_clause,[],[f2077])). 0.07/0.37 fof(f2083,plain,( 0.07/0.37 sP0(sK4,sK3) | ~incident_c(sK3,sK4) | ~spl19_53), 0.07/0.37 inference(resolution,[],[f1554,f97])). 0.07/0.37 fof(f2090,plain,( 0.07/0.37 ~incident_c(sK3,sK4) | ~spl19_53), 0.07/0.37 inference(subsumption_resolution,[],[f2083,f154])). 0.07/0.37 fof(f2091,plain,( 0.07/0.37 $false | (~spl19_6 | ~spl19_53)), 0.07/0.37 inference(subsumption_resolution,[],[f2090,f162])). 0.07/0.37 fof(f2092,plain,( 0.07/0.37 ~spl19_6 | spl19_53), 0.07/0.37 inference(avatar_contradiction_clause,[],[f2091])). 0.07/0.37 fof(f2094,plain,( 0.07/0.37 sP0(sK4,sK3) | ~incident_c(sK3,sK4) | ~spl19_51), 0.07/0.37 inference(resolution,[],[f1548,f96])). 0.07/0.37 fof(f2101,plain,( 0.07/0.37 ~incident_c(sK3,sK4) | ~spl19_51), 0.07/0.37 inference(subsumption_resolution,[],[f2094,f154])). 0.07/0.37 fof(f2102,plain,( 0.07/0.37 $false | (~spl19_6 | ~spl19_51)), 0.07/0.37 inference(subsumption_resolution,[],[f2101,f162])). 0.07/0.37 fof(f2103,plain,( 0.07/0.37 ~spl19_6 | spl19_51), 0.07/0.37 inference(avatar_contradiction_clause,[],[f2102])). 0.07/0.37 fof(f2275,plain,( 0.07/0.37 ~incident_c(sK3,sK6(sK4,sK3)) | ~incident_c(sK3,sK7(sK4,sK3)) | (~spl19_0 | ~spl19_54)), 0.07/0.37 inference(resolution,[],[f1631,f146])). 0.07/0.37 fof(f2276,plain,( 0.07/0.37 ~incident_c(sK3,sK7(sK4,sK3)) | (~spl19_0 | ~spl19_50 | ~spl19_54)), 0.07/0.37 inference(subsumption_resolution,[],[f2275,f1545])). 0.07/0.37 fof(f2277,plain,( 0.07/0.37 $false | (~spl19_0 | ~spl19_50 | ~spl19_52 | ~spl19_54)), 0.07/0.37 inference(subsumption_resolution,[],[f2276,f1551])). 0.07/0.37 fof(f2278,plain,( 0.07/0.37 ~spl19_0 | ~spl19_50 | ~spl19_52 | ~spl19_54), 0.07/0.37 inference(avatar_contradiction_clause,[],[f2277])). 0.07/0.37 fof(f2279,plain,( 0.07/0.37 $false), 0.07/0.37 inference(avatar_sat_refutation,[],[f153,f187,f194,f201,f224,f610,f1555,f1632,f2036,f2063,f2078,f2092,f2103,f2278])). 0.07/0.37 % SZS output end Proof for theBenchmark 0.07/0.37 % ------------------------------ 0.07/0.37 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.07/0.37 % Termination reason: Refutation 0.07/0.37 0.07/0.37 % Memory used [KB]: 11513 0.07/0.37 % Time elapsed: 0.091 s 0.07/0.37 % ------------------------------ 0.07/0.37 % ------------------------------ 0.07/0.37 % Success in time 0.126 s 0.07/0.37 EOF