0.08/0.09 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.08/0.09 % Command : vampire --mode casc -t %d %s 0.09/0.30 % Computer : n012.cluster.edu 0.09/0.30 % Model : x86_64 x86_64 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.09/0.30 % Memory : 8042.1875MB 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 0.09/0.30 % CPULimit : 960 0.09/0.30 % DateTime : Thu Jul 2 07:37:21 EDT 2020 0.09/0.30 % CPUTime : 0.15/0.36 % lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all_2 on theBenchmark 0.68/0.86 % Time limit reached! 0.68/0.86 % ------------------------------ 0.68/0.86 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 0.68/0.86 % Termination reason: Time limit 0.68/0.86 % Termination phase: Saturation 0.68/0.86 0.68/0.86 % Memory used [KB]: 3965 0.68/0.86 % Time elapsed: 0.500 s 0.68/0.86 % ------------------------------ 0.68/0.86 % ------------------------------ 0.68/0.92 % lrs+2_3:1_add=large:afr=on:afp=10000:afq=1.1:amm=off:anc=none:er=known:fde=unused:gs=on:gsaa=from_current:gsem=on:lma=on:nm=32:newcnf=on:nwc=4:sas=z3:stl=30:sd=1:ss=axioms:st=5.0:sac=on:sp=occurrence:updr=off_2 on theBenchmark 1.19/1.42 % Time limit reached! 1.19/1.42 % ------------------------------ 1.19/1.42 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 1.19/1.42 % Termination reason: Time limit 1.19/1.42 % Termination phase: Saturation 1.19/1.42 1.19/1.42 % Memory used [KB]: 10234 1.19/1.42 % Time elapsed: 0.500 s 1.19/1.42 % ------------------------------ 1.19/1.42 % ------------------------------ 1.25/1.48 % dis+2_2:1_aac=none:afp=100000:afq=1.1:amm=sco:anc=none:bsr=on:fsr=off:gs=on:gsem=on:lcm=reverse:lma=on:nm=64:nwc=1:sos=on_6 on theBenchmark 2.27/2.48 % Time limit reached! 2.27/2.48 % ------------------------------ 2.27/2.48 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.27/2.48 % Termination reason: Time limit 2.27/2.48 % Termination phase: Saturation 2.27/2.48 2.27/2.48 % Memory used [KB]: 19701 2.27/2.48 % Time elapsed: 1.0000 s 2.27/2.48 % ------------------------------ 2.27/2.48 % ------------------------------ 2.32/2.55 % dis+1011_24_add=large:afr=on:afp=4000:afq=1.0:anc=none:bs=unit_only:bce=on:cond=fast:gs=on:nm=32:nwc=2.5:nicw=on:sp=occurrence:updr=off_39 on theBenchmark 2.73/2.92 % Refutation found. Thanks to Tanya! 2.73/2.92 % SZS status Theorem for theBenchmark 2.73/2.92 % SZS output start Proof for theBenchmark 2.73/2.92 fof(f9307,plain,( 2.73/2.92 $false), 2.73/2.92 inference(avatar_sat_refutation,[],[f196,f506,f1261,f1367,f2554,f9101,f9270,f9296,f9306])). 2.73/2.92 fof(f9306,plain,( 2.73/2.92 ~spl17_0 | spl17_3 | ~spl17_60), 2.73/2.92 inference(avatar_contradiction_clause,[],[f9305])). 2.73/2.92 fof(f9305,plain,( 2.73/2.92 $false | (~spl17_0 | ~spl17_3 | ~spl17_60)), 2.73/2.92 inference(subsumption_resolution,[],[f9297,f175])). 2.73/2.92 fof(f175,plain,( 2.73/2.92 incident_c(sK6(sK1),sK1) | ~spl17_0), 2.73/2.92 inference(avatar_component_clause,[],[f174])). 2.73/2.92 fof(f174,plain,( 2.73/2.92 spl17_0 <=> incident_c(sK6(sK1),sK1)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_0])])). 2.73/2.92 fof(f9297,plain,( 2.73/2.92 ~incident_c(sK6(sK1),sK1) | (~spl17_3 | ~spl17_60)), 2.73/2.92 inference(resolution,[],[f2144,f199])). 2.73/2.92 fof(f199,plain,( 2.73/2.92 ( ! [X0] : (~part_of(X0,sK2) | ~incident_c(sK6(sK1),X0)) ) | ~spl17_3), 2.73/2.92 inference(resolution,[],[f184,f126])). 2.73/2.92 fof(f126,plain,( 2.73/2.92 ( ! [X2,X0,X1] : (incident_c(X2,X0) | ~incident_c(X2,X1) | ~part_of(X1,X0)) )), 2.73/2.92 inference(cnf_transformation,[],[f85])). 2.73/2.92 fof(f85,plain,( 2.73/2.92 ! [X0,X1] : ((! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) | ~part_of(X1,X0)) & (part_of(X1,X0) | (~incident_c(sK14(X0,X1),X0) & incident_c(sK14(X0,X1),X1))))), 2.73/2.92 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f83,f84])). 2.73/2.92 fof(f84,plain,( 2.73/2.92 ! [X1,X0] : (? [X3] : (~incident_c(X3,X0) & incident_c(X3,X1)) => (~incident_c(sK14(X0,X1),X0) & incident_c(sK14(X0,X1),X1)))), 2.73/2.92 introduced(choice_axiom,[])). 2.73/2.92 fof(f83,plain,( 2.73/2.92 ! [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))))), 2.73/2.92 inference(rectify,[],[f82])). 2.73/2.92 fof(f82,plain,( 2.73/2.92 ! [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))))), 2.73/2.92 inference(nnf_transformation,[],[f44])). 2.73/2.92 fof(f44,plain,( 2.73/2.92 ! [X0,X1] : (! [X2] : (incident_c(X2,X0) | ~incident_c(X2,X1)) <=> part_of(X1,X0))), 2.73/2.92 inference(ennf_transformation,[],[f12])). 2.73/2.92 fof(f12,axiom,( 2.73/2.92 ! [X0,X1] : (! [X2] : (incident_c(X2,X1) => incident_c(X2,X0)) <=> part_of(X1,X0))), 2.73/2.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',part_of_defn)). 2.73/2.92 fof(f184,plain,( 2.73/2.92 ~incident_c(sK6(sK1),sK2) | ~spl17_3), 2.73/2.92 inference(avatar_component_clause,[],[f183])). 2.73/2.92 fof(f183,plain,( 2.73/2.92 spl17_3 <=> ~incident_c(sK6(sK1),sK2)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_3])])). 2.73/2.92 fof(f2144,plain,( 2.73/2.92 part_of(sK1,sK2) | ~spl17_60), 2.73/2.92 inference(avatar_component_clause,[],[f2143])). 2.73/2.92 fof(f2143,plain,( 2.73/2.92 spl17_60 <=> part_of(sK1,sK2)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_60])])). 2.73/2.92 fof(f9296,plain,( 2.73/2.92 spl17_60 | spl17_48 | spl17_47), 2.73/2.92 inference(avatar_split_clause,[],[f9295,f2055,f2061,f2143])). 2.73/2.92 fof(f2061,plain,( 2.73/2.92 spl17_48 <=> ! [X4] : (~incident_c(X4,sK1) | ~end_point(X4,sK0) | ~incident_c(X4,sK2))), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_48])])). 2.73/2.92 fof(f2055,plain,( 2.73/2.92 spl17_47 <=> ~part_of(sK2,sK1)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_47])])). 2.73/2.92 fof(f9295,plain,( 2.73/2.92 ( ! [X2] : (~incident_c(X2,sK2) | part_of(sK1,sK2) | ~incident_c(X2,sK1) | ~end_point(X2,sK0)) ) | ~spl17_47), 2.73/2.92 inference(subsumption_resolution,[],[f9288,f97])). 2.73/2.92 fof(f97,plain,( 2.73/2.92 part_of(sK2,sK0)), 2.73/2.92 inference(cnf_transformation,[],[f54])). 2.73/2.92 fof(f54,plain,( 2.73/2.92 end_point(sK3,sK0) & meet(sK3,sK1,sK2) & part_of(sK2,sK0) & part_of(sK1,sK0)), 2.73/2.92 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f34,f53])). 2.73/2.92 fof(f53,plain,( 2.73/2.92 ? [X0,X1,X2,X3] : (end_point(X3,X0) & meet(X3,X1,X2) & part_of(X2,X0) & part_of(X1,X0)) => (end_point(sK3,sK0) & meet(sK3,sK1,sK2) & part_of(sK2,sK0) & part_of(sK1,sK0))), 2.73/2.92 introduced(choice_axiom,[])). 2.73/2.92 fof(f34,plain,( 2.73/2.92 ? [X0,X1,X2,X3] : (end_point(X3,X0) & meet(X3,X1,X2) & part_of(X2,X0) & part_of(X1,X0))), 2.73/2.92 inference(flattening,[],[f33])). 2.73/2.92 fof(f33,plain,( 2.73/2.92 ? [X0,X1,X2,X3] : (end_point(X3,X0) & (meet(X3,X1,X2) & part_of(X2,X0) & part_of(X1,X0)))), 2.73/2.92 inference(ennf_transformation,[],[f19])). 2.73/2.92 fof(f19,plain,( 2.73/2.92 ~! [X0,X1,X2,X3] : ((meet(X3,X1,X2) & part_of(X2,X0) & part_of(X1,X0)) => ~end_point(X3,X0))), 2.73/2.92 inference(rectify,[],[f18])). 2.73/2.92 fof(f18,negated_conjecture,( 2.73/2.92 ~! [X0,X1,X4,X2] : ((meet(X2,X1,X4) & part_of(X4,X0) & part_of(X1,X0)) => ~end_point(X2,X0))), 2.73/2.92 inference(negated_conjecture,[],[f17])). 2.73/2.92 fof(f17,conjecture,( 2.73/2.92 ! [X0,X1,X4,X2] : ((meet(X2,X1,X4) & part_of(X4,X0) & part_of(X1,X0)) => ~end_point(X2,X0))), 2.73/2.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',proposition_2_14_3)). 2.73/2.92 fof(f9288,plain,( 2.73/2.92 ( ! [X2] : (~incident_c(X2,sK2) | part_of(sK1,sK2) | ~incident_c(X2,sK1) | ~part_of(sK2,sK0) | ~end_point(X2,sK0)) ) | ~spl17_47), 2.73/2.92 inference(resolution,[],[f2056,f978])). 2.73/2.92 fof(f978,plain,( 2.73/2.92 ( ! [X0,X1] : (part_of(X0,sK1) | ~incident_c(X1,X0) | part_of(sK1,X0) | ~incident_c(X1,sK1) | ~part_of(X0,sK0) | ~end_point(X1,sK0)) )), 2.73/2.92 inference(resolution,[],[f122,f96])). 2.73/2.92 fof(f96,plain,( 2.73/2.92 part_of(sK1,sK0)), 2.73/2.92 inference(cnf_transformation,[],[f54])). 2.73/2.92 fof(f122,plain,( 2.73/2.92 ( ! [X2,X0,X3,X1] : (~part_of(X3,X1) | part_of(X3,X2) | ~incident_c(X0,X2) | part_of(X2,X3) | ~incident_c(X0,X3) | ~part_of(X2,X1) | ~end_point(X0,X1)) )), 2.73/2.92 inference(cnf_transformation,[],[f81])). 2.73/2.92 fof(f81,plain,( 2.73/2.92 ! [X0,X1] : (((incident_c(X0,X1) & ! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~incident_c(X0,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~part_of(X2,X1))) | ~end_point(X0,X1)) & (end_point(X0,X1) | ~incident_c(X0,X1) | (~part_of(sK12(X0,X1),sK13(X0,X1)) & ~part_of(sK13(X0,X1),sK12(X0,X1)) & incident_c(X0,sK12(X0,X1)) & part_of(sK13(X0,X1),X1) & incident_c(X0,sK13(X0,X1)) & part_of(sK12(X0,X1),X1))))), 2.73/2.92 inference(skolemisation,[status(esa),new_symbols(skolem,[sK12,sK13])],[f79,f80])). 2.73/2.92 fof(f80,plain,( 2.73/2.92 ! [X1,X0] : (? [X4,X5] : (~part_of(X4,X5) & ~part_of(X5,X4) & incident_c(X0,X4) & part_of(X5,X1) & incident_c(X0,X5) & part_of(X4,X1)) => (~part_of(sK12(X0,X1),sK13(X0,X1)) & ~part_of(sK13(X0,X1),sK12(X0,X1)) & incident_c(X0,sK12(X0,X1)) & part_of(sK13(X0,X1),X1) & incident_c(X0,sK13(X0,X1)) & part_of(sK12(X0,X1),X1)))), 2.73/2.92 introduced(choice_axiom,[])). 2.73/2.92 fof(f79,plain,( 2.73/2.92 ! [X0,X1] : (((incident_c(X0,X1) & ! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~incident_c(X0,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~part_of(X2,X1))) | ~end_point(X0,X1)) & (end_point(X0,X1) | ~incident_c(X0,X1) | ? [X4,X5] : (~part_of(X4,X5) & ~part_of(X5,X4) & incident_c(X0,X4) & part_of(X5,X1) & incident_c(X0,X5) & part_of(X4,X1))))), 2.73/2.92 inference(rectify,[],[f78])). 2.73/2.92 fof(f78,plain,( 2.73/2.92 ! [X0,X1] : (((incident_c(X0,X1) & ! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~incident_c(X0,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~part_of(X2,X1))) | ~end_point(X0,X1)) & (end_point(X0,X1) | ~incident_c(X0,X1) | ? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & incident_c(X0,X2) & part_of(X3,X1) & incident_c(X0,X3) & part_of(X2,X1))))), 2.73/2.92 inference(flattening,[],[f77])). 2.73/2.92 fof(f77,plain,( 2.73/2.92 ! [X0,X1] : (((incident_c(X0,X1) & ! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~incident_c(X0,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~part_of(X2,X1))) | ~end_point(X0,X1)) & (end_point(X0,X1) | (~incident_c(X0,X1) | ? [X2,X3] : (~part_of(X2,X3) & ~part_of(X3,X2) & incident_c(X0,X2) & part_of(X3,X1) & incident_c(X0,X3) & part_of(X2,X1)))))), 2.73/2.92 inference(nnf_transformation,[],[f43])). 2.73/2.92 fof(f43,plain,( 2.73/2.92 ! [X0,X1] : ((incident_c(X0,X1) & ! [X2,X3] : (part_of(X2,X3) | part_of(X3,X2) | ~incident_c(X0,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~part_of(X2,X1))) <=> end_point(X0,X1))), 2.73/2.92 inference(flattening,[],[f42])). 2.73/2.92 fof(f42,plain,( 2.73/2.92 ! [X0,X1] : ((incident_c(X0,X1) & ! [X2,X3] : ((part_of(X2,X3) | part_of(X3,X2)) | (~incident_c(X0,X2) | ~part_of(X3,X1) | ~incident_c(X0,X3) | ~part_of(X2,X1)))) <=> end_point(X0,X1))), 2.73/2.92 inference(ennf_transformation,[],[f27])). 2.73/2.92 fof(f27,plain,( 2.73/2.92 ! [X0,X1] : ((incident_c(X0,X1) & ! [X2,X3] : ((incident_c(X0,X2) & part_of(X3,X1) & incident_c(X0,X3) & part_of(X2,X1)) => (part_of(X2,X3) | part_of(X3,X2)))) <=> end_point(X0,X1))), 2.73/2.92 inference(rectify,[],[f5])). 2.73/2.92 fof(f5,axiom,( 2.73/2.92 ! [X2,X0] : ((incident_c(X2,X0) & ! [X1,X4] : ((incident_c(X2,X1) & part_of(X4,X0) & incident_c(X2,X4) & part_of(X1,X0)) => (part_of(X1,X4) | part_of(X4,X1)))) <=> end_point(X2,X0))), 2.73/2.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',end_point_defn)). 2.73/2.92 fof(f2056,plain,( 2.73/2.92 ~part_of(sK2,sK1) | ~spl17_47), 2.73/2.92 inference(avatar_component_clause,[],[f2055])). 2.73/2.92 fof(f9270,plain,( 2.73/2.92 ~spl17_6 | ~spl17_46), 2.73/2.92 inference(avatar_contradiction_clause,[],[f9269])). 2.73/2.92 fof(f9269,plain,( 2.73/2.92 $false | (~spl17_6 | ~spl17_46)), 2.73/2.92 inference(subsumption_resolution,[],[f9264,f449])). 2.73/2.92 fof(f449,plain,( 2.73/2.92 incident_c(sK6(sK2),sK2) | ~spl17_6), 2.73/2.92 inference(avatar_component_clause,[],[f448])). 2.73/2.92 fof(f448,plain,( 2.73/2.92 spl17_6 <=> incident_c(sK6(sK2),sK2)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_6])])). 2.73/2.92 fof(f9264,plain,( 2.73/2.92 ~incident_c(sK6(sK2),sK2) | (~spl17_6 | ~spl17_46)), 2.73/2.92 inference(resolution,[],[f9120,f2059])). 2.73/2.92 fof(f2059,plain,( 2.73/2.92 part_of(sK2,sK1) | ~spl17_46), 2.73/2.92 inference(avatar_component_clause,[],[f2058])). 2.73/2.92 fof(f2058,plain,( 2.73/2.92 spl17_46 <=> part_of(sK2,sK1)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_46])])). 2.73/2.92 fof(f9120,plain,( 2.73/2.92 ( ! [X0] : (~part_of(X0,sK1) | ~incident_c(sK6(sK2),X0)) ) | ~spl17_6), 2.73/2.92 inference(resolution,[],[f9100,f126])). 2.73/2.92 fof(f9100,plain,( 2.73/2.92 ~incident_c(sK6(sK2),sK1) | ~spl17_6), 2.73/2.92 inference(subsumption_resolution,[],[f9094,f449])). 2.73/2.92 fof(f9094,plain,( 2.73/2.92 ~incident_c(sK6(sK2),sK2) | ~incident_c(sK6(sK2),sK1)), 2.73/2.92 inference(resolution,[],[f98,f220])). 2.73/2.92 fof(f220,plain,( 2.73/2.92 ( ! [X2,X0,X1] : (~meet(X2,X1,X0) | ~incident_c(sK6(X0),X0) | ~incident_c(sK6(X0),X1)) )), 2.73/2.92 inference(resolution,[],[f132,f147])). 2.73/2.92 fof(f147,plain,( 2.73/2.92 ( ! [X0] : (~end_point(sK6(X0),X0)) )), 2.73/2.92 inference(resolution,[],[f114,f104])). 2.73/2.92 fof(f104,plain,( 2.73/2.92 ( ! [X0] : (inner_point(sK6(X0),X0)) )), 2.73/2.92 inference(cnf_transformation,[],[f64])). 2.73/2.92 fof(f64,plain,( 2.73/2.92 ! [X0] : inner_point(sK6(X0),X0)), 2.73/2.92 inference(skolemisation,[status(esa),new_symbols(skolem,[sK6])],[f22,f63])). 2.73/2.92 fof(f63,plain,( 2.73/2.92 ! [X0] : (? [X1] : inner_point(X1,X0) => inner_point(sK6(X0),X0))), 2.73/2.92 introduced(choice_axiom,[])). 2.73/2.92 fof(f22,plain,( 2.73/2.92 ! [X0] : ? [X1] : inner_point(X1,X0)), 2.73/2.92 inference(rectify,[],[f14])). 2.73/2.92 fof(f14,axiom,( 2.73/2.92 ! [X0] : ? [X2] : inner_point(X2,X0)), 2.73/2.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c3)). 2.73/2.92 fof(f114,plain,( 2.73/2.92 ( ! [X0,X1] : (~inner_point(X0,X1) | ~end_point(X0,X1)) )), 2.73/2.92 inference(cnf_transformation,[],[f76])). 2.73/2.92 fof(f76,plain,( 2.73/2.92 ! [X0,X1] : ((inner_point(X0,X1) | end_point(X0,X1) | ~incident_c(X0,X1)) & ((~end_point(X0,X1) & incident_c(X0,X1)) | ~inner_point(X0,X1)))), 2.73/2.92 inference(flattening,[],[f75])). 2.73/2.92 fof(f75,plain,( 2.73/2.92 ! [X0,X1] : ((inner_point(X0,X1) | (end_point(X0,X1) | ~incident_c(X0,X1))) & ((~end_point(X0,X1) & incident_c(X0,X1)) | ~inner_point(X0,X1)))), 2.73/2.92 inference(nnf_transformation,[],[f26])). 2.73/2.92 fof(f26,plain,( 2.73/2.92 ! [X0,X1] : (inner_point(X0,X1) <=> (~end_point(X0,X1) & incident_c(X0,X1)))), 2.73/2.92 inference(rectify,[],[f16])). 2.73/2.92 fof(f16,axiom,( 2.73/2.92 ! [X2,X0] : (inner_point(X2,X0) <=> (~end_point(X2,X0) & incident_c(X2,X0)))), 2.73/2.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',inner_point_defn)). 2.73/2.92 fof(f132,plain,( 2.73/2.92 ( ! [X2,X0,X3,X1] : (end_point(X3,X2) | ~incident_c(X3,X1) | ~incident_c(X3,X2) | ~meet(X0,X1,X2)) )), 2.73/2.92 inference(cnf_transformation,[],[f90])). 2.73/2.92 fof(f90,plain,( 2.73/2.92 ! [X0,X1,X2] : (((incident_c(X0,X1) & ! [X3] : ((end_point(X3,X2) & end_point(X3,X1)) | ~incident_c(X3,X1) | ~incident_c(X3,X2)) & incident_c(X0,X2)) | ~meet(X0,X1,X2)) & (meet(X0,X1,X2) | ~incident_c(X0,X1) | ((~end_point(sK15(X1,X2),X2) | ~end_point(sK15(X1,X2),X1)) & incident_c(sK15(X1,X2),X1) & incident_c(sK15(X1,X2),X2)) | ~incident_c(X0,X2)))), 2.73/2.92 inference(skolemisation,[status(esa),new_symbols(skolem,[sK15])],[f88,f89])). 2.73/2.92 fof(f89,plain,( 2.73/2.92 ! [X2,X1] : (? [X4] : ((~end_point(X4,X2) | ~end_point(X4,X1)) & incident_c(X4,X1) & incident_c(X4,X2)) => ((~end_point(sK15(X1,X2),X2) | ~end_point(sK15(X1,X2),X1)) & incident_c(sK15(X1,X2),X1) & incident_c(sK15(X1,X2),X2)))), 2.73/2.92 introduced(choice_axiom,[])). 2.73/2.92 fof(f88,plain,( 2.73/2.92 ! [X0,X1,X2] : (((incident_c(X0,X1) & ! [X3] : ((end_point(X3,X2) & end_point(X3,X1)) | ~incident_c(X3,X1) | ~incident_c(X3,X2)) & incident_c(X0,X2)) | ~meet(X0,X1,X2)) & (meet(X0,X1,X2) | ~incident_c(X0,X1) | ? [X4] : ((~end_point(X4,X2) | ~end_point(X4,X1)) & incident_c(X4,X1) & incident_c(X4,X2)) | ~incident_c(X0,X2)))), 2.73/2.92 inference(rectify,[],[f87])). 2.73/2.92 fof(f87,plain,( 2.73/2.92 ! [X0,X1,X2] : (((incident_c(X0,X1) & ! [X3] : ((end_point(X3,X2) & end_point(X3,X1)) | ~incident_c(X3,X1) | ~incident_c(X3,X2)) & incident_c(X0,X2)) | ~meet(X0,X1,X2)) & (meet(X0,X1,X2) | ~incident_c(X0,X1) | ? [X3] : ((~end_point(X3,X2) | ~end_point(X3,X1)) & incident_c(X3,X1) & incident_c(X3,X2)) | ~incident_c(X0,X2)))), 2.73/2.92 inference(flattening,[],[f86])). 2.73/2.92 fof(f86,plain,( 2.73/2.92 ! [X0,X1,X2] : (((incident_c(X0,X1) & ! [X3] : ((end_point(X3,X2) & end_point(X3,X1)) | ~incident_c(X3,X1) | ~incident_c(X3,X2)) & incident_c(X0,X2)) | ~meet(X0,X1,X2)) & (meet(X0,X1,X2) | (~incident_c(X0,X1) | ? [X3] : ((~end_point(X3,X2) | ~end_point(X3,X1)) & incident_c(X3,X1) & incident_c(X3,X2)) | ~incident_c(X0,X2))))), 2.73/2.92 inference(nnf_transformation,[],[f46])). 2.73/2.92 fof(f46,plain,( 2.73/2.92 ! [X0,X1,X2] : ((incident_c(X0,X1) & ! [X3] : ((end_point(X3,X2) & end_point(X3,X1)) | ~incident_c(X3,X1) | ~incident_c(X3,X2)) & incident_c(X0,X2)) <=> meet(X0,X1,X2))), 2.73/2.92 inference(flattening,[],[f45])). 2.73/2.92 fof(f45,plain,( 2.73/2.92 ! [X0,X1,X2] : ((incident_c(X0,X1) & ! [X3] : ((end_point(X3,X2) & end_point(X3,X1)) | (~incident_c(X3,X1) | ~incident_c(X3,X2))) & incident_c(X0,X2)) <=> meet(X0,X1,X2))), 2.73/2.92 inference(ennf_transformation,[],[f28])). 2.73/2.92 fof(f28,plain,( 2.73/2.92 ! [X0,X1,X2] : ((incident_c(X0,X1) & ! [X3] : ((incident_c(X3,X1) & incident_c(X3,X2)) => (end_point(X3,X2) & end_point(X3,X1))) & incident_c(X0,X2)) <=> meet(X0,X1,X2))), 2.73/2.92 inference(rectify,[],[f2])). 2.73/2.92 fof(f2,axiom,( 2.73/2.92 ! [X2,X0,X1] : ((incident_c(X2,X0) & ! [X3] : ((incident_c(X3,X0) & incident_c(X3,X1)) => (end_point(X3,X1) & end_point(X3,X0))) & incident_c(X2,X1)) <=> meet(X2,X0,X1))), 2.73/2.92 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_defn)). 2.73/2.92 fof(f98,plain,( 2.73/2.92 meet(sK3,sK1,sK2)), 2.73/2.92 inference(cnf_transformation,[],[f54])). 2.73/2.92 fof(f9101,plain,( 2.73/2.92 ~spl17_1 | ~spl17_3), 2.73/2.92 inference(avatar_split_clause,[],[f9099,f183,f177])). 2.73/2.92 fof(f177,plain,( 2.73/2.92 spl17_1 <=> ~incident_c(sK6(sK1),sK1)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_1])])). 2.73/2.92 fof(f9099,plain,( 2.73/2.92 ~incident_c(sK6(sK1),sK2) | ~incident_c(sK6(sK1),sK1)), 2.73/2.92 inference(resolution,[],[f98,f170])). 2.73/2.92 fof(f170,plain,( 2.73/2.92 ( ! [X2,X0,X1] : (~meet(X2,X0,X1) | ~incident_c(sK6(X0),X1) | ~incident_c(sK6(X0),X0)) )), 2.73/2.92 inference(resolution,[],[f131,f147])). 2.73/2.92 fof(f131,plain,( 2.73/2.92 ( ! [X2,X0,X3,X1] : (end_point(X3,X1) | ~incident_c(X3,X1) | ~incident_c(X3,X2) | ~meet(X0,X1,X2)) )), 2.73/2.92 inference(cnf_transformation,[],[f90])). 2.73/2.92 fof(f2554,plain,( 2.73/2.92 ~spl17_28 | ~spl17_36 | ~spl17_48), 2.73/2.92 inference(avatar_contradiction_clause,[],[f2553])). 2.73/2.92 fof(f2553,plain,( 2.73/2.92 $false | (~spl17_28 | ~spl17_36 | ~spl17_48)), 2.73/2.92 inference(subsumption_resolution,[],[f2552,f1324])). 2.73/2.92 fof(f1324,plain,( 2.73/2.92 incident_c(sK3,sK2) | ~spl17_36), 2.73/2.92 inference(avatar_component_clause,[],[f1323])). 2.73/2.92 fof(f1323,plain,( 2.73/2.92 spl17_36 <=> incident_c(sK3,sK2)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_36])])). 2.73/2.92 fof(f2552,plain,( 2.73/2.92 ~incident_c(sK3,sK2) | (~spl17_28 | ~spl17_48)), 2.73/2.92 inference(subsumption_resolution,[],[f2548,f1219])). 2.73/2.92 fof(f1219,plain,( 2.73/2.92 incident_c(sK3,sK1) | ~spl17_28), 2.73/2.92 inference(avatar_component_clause,[],[f1218])). 2.73/2.92 fof(f1218,plain,( 2.73/2.92 spl17_28 <=> incident_c(sK3,sK1)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_28])])). 2.73/2.92 fof(f2548,plain,( 2.73/2.92 ~incident_c(sK3,sK1) | ~incident_c(sK3,sK2) | ~spl17_48), 2.73/2.92 inference(resolution,[],[f2062,f99])). 2.73/2.92 fof(f99,plain,( 2.73/2.92 end_point(sK3,sK0)), 2.73/2.92 inference(cnf_transformation,[],[f54])). 2.73/2.92 fof(f2062,plain,( 2.73/2.92 ( ! [X4] : (~end_point(X4,sK0) | ~incident_c(X4,sK1) | ~incident_c(X4,sK2)) ) | ~spl17_48), 2.73/2.92 inference(avatar_component_clause,[],[f2061])). 2.73/2.92 fof(f1367,plain,( 2.73/2.92 spl17_37), 2.73/2.92 inference(avatar_contradiction_clause,[],[f1366])). 2.73/2.92 fof(f1366,plain,( 2.73/2.92 $false | ~spl17_37), 2.73/2.92 inference(resolution,[],[f1355,f98])). 2.73/2.92 fof(f1355,plain,( 2.73/2.92 ( ! [X1] : (~meet(sK3,X1,sK2)) ) | ~spl17_37), 2.73/2.92 inference(resolution,[],[f1327,f130])). 2.73/2.92 fof(f130,plain,( 2.73/2.92 ( ! [X2,X0,X1] : (incident_c(X0,X2) | ~meet(X0,X1,X2)) )), 2.73/2.92 inference(cnf_transformation,[],[f90])). 2.73/2.92 fof(f1327,plain,( 2.73/2.92 ~incident_c(sK3,sK2) | ~spl17_37), 2.73/2.92 inference(avatar_component_clause,[],[f1326])). 2.73/2.92 fof(f1326,plain,( 2.73/2.92 spl17_37 <=> ~incident_c(sK3,sK2)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_37])])). 2.73/2.92 fof(f1261,plain,( 2.73/2.92 spl17_29), 2.73/2.92 inference(avatar_contradiction_clause,[],[f1260])). 2.73/2.92 fof(f1260,plain,( 2.73/2.92 $false | ~spl17_29), 2.73/2.92 inference(resolution,[],[f1252,f98])). 2.73/2.92 fof(f1252,plain,( 2.73/2.92 ( ! [X2] : (~meet(sK3,sK1,X2)) ) | ~spl17_29), 2.73/2.92 inference(resolution,[],[f1222,f133])). 2.73/2.92 fof(f133,plain,( 2.73/2.92 ( ! [X2,X0,X1] : (incident_c(X0,X1) | ~meet(X0,X1,X2)) )), 2.73/2.92 inference(cnf_transformation,[],[f90])). 2.73/2.92 fof(f1222,plain,( 2.73/2.92 ~incident_c(sK3,sK1) | ~spl17_29), 2.73/2.92 inference(avatar_component_clause,[],[f1221])). 2.73/2.92 fof(f1221,plain,( 2.73/2.92 spl17_29 <=> ~incident_c(sK3,sK1)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_29])])). 2.73/2.92 fof(f506,plain,( 2.73/2.92 spl17_7), 2.73/2.92 inference(avatar_contradiction_clause,[],[f505])). 2.73/2.92 fof(f505,plain,( 2.73/2.92 $false | ~spl17_7), 2.73/2.92 inference(subsumption_resolution,[],[f496,f104])). 2.73/2.92 fof(f496,plain,( 2.73/2.92 ~inner_point(sK6(sK2),sK2) | ~spl17_7), 2.73/2.92 inference(resolution,[],[f452,f113])). 2.73/2.92 fof(f113,plain,( 2.73/2.92 ( ! [X0,X1] : (incident_c(X0,X1) | ~inner_point(X0,X1)) )), 2.73/2.92 inference(cnf_transformation,[],[f76])). 2.73/2.92 fof(f452,plain,( 2.73/2.92 ~incident_c(sK6(sK2),sK2) | ~spl17_7), 2.73/2.92 inference(avatar_component_clause,[],[f451])). 2.73/2.92 fof(f451,plain,( 2.73/2.92 spl17_7 <=> ~incident_c(sK6(sK2),sK2)), 2.73/2.92 introduced(avatar_definition,[new_symbols(naming,[spl17_7])])). 2.73/2.92 fof(f196,plain,( 2.73/2.92 spl17_1), 2.73/2.92 inference(avatar_contradiction_clause,[],[f195])). 2.73/2.92 fof(f195,plain,( 2.73/2.92 $false | ~spl17_1), 2.73/2.92 inference(subsumption_resolution,[],[f186,f104])). 2.73/2.92 fof(f186,plain,( 2.73/2.92 ~inner_point(sK6(sK1),sK1) | ~spl17_1), 2.73/2.92 inference(resolution,[],[f178,f113])). 2.73/2.92 fof(f178,plain,( 2.73/2.92 ~incident_c(sK6(sK1),sK1) | ~spl17_1), 2.73/2.92 inference(avatar_component_clause,[],[f177])). 2.73/2.92 % SZS output end Proof for theBenchmark 2.73/2.92 % ------------------------------ 2.73/2.92 % Version: Vampire 4.4.0 (commit 7916d27 on 2019-08-23 08:50:16 +0100) 2.73/2.92 % Termination reason: Refutation 2.73/2.92 2.73/2.92 % Memory used [KB]: 14072 2.73/2.92 % Time elapsed: 0.376 s 2.73/2.92 % ------------------------------ 2.73/2.92 % ------------------------------ 2.73/2.93 % Success in time 2.619 s 2.73/2.93 EOF