0.04/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.04/0.14 % Command : run_vampire %s %d 0.13/0.35 % Computer : n004.cluster.edu 0.13/0.35 % Model : x86_64 x86_64 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.13/0.35 % Memory : 8042.1875MB 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.13/0.35 % CPULimit : 960 0.13/0.35 % WCLimit : 120 0.13/0.35 % DateTime : Thu Jul 2 07:25:28 EDT 2020 0.13/0.35 % CPUTime : 0.22/0.46 % (19167)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 0.22/0.49 % (19167)Refutation not found, incomplete strategy% (19167)------------------------------ 0.22/0.49 % (19167)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.22/0.50 % (19183)ott+1002_8:1_add=off:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sas=z3:sp=occurrence:urr=on:updr=off_14 on theBenchmark 0.22/0.50 % (19165)lrs-11_12_av=off:nm=32:nwc=1.3:stl=30:sd=3:ss=axioms:sos=all_2 on theBenchmark 0.22/0.51 % (19175)lrs+1003_3_awrs=decay:awrsf=4:add=large:afr=on:afp=100000:afq=2.0:amm=sco:bd=off:cond=fast:fsr=off:fde=unused:gs=on:gsem=on:nm=6:nwc=1:stl=30:sd=1:ss=axioms:st=1.2:sos=on:sac=on:sp=frequency:urr=on:updr=off_2 on theBenchmark 0.22/0.51 % (19167)Termination reason: Refutation not found, incomplete strategy 0.22/0.51 0.22/0.51 % (19167)Memory used [KB]: 10746 0.22/0.51 % (19167)Time elapsed: 0.095 s 0.22/0.51 % (19167)------------------------------ 0.22/0.51 % (19167)------------------------------ 0.22/0.51 % (19191)lrs+1011_8:1_afr=on:afp=1000:afq=2.0:br=off:gsp=input_only:gs=on:nm=16:nwc=1:stl=30:sos=all:sp=occurrence:urr=on_8 on theBenchmark 0.22/0.51 % (19175)Refutation not found, incomplete strategy% (19175)------------------------------ 0.22/0.51 % (19175)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.22/0.51 % (19175)Termination reason: Refutation not found, incomplete strategy 0.22/0.51 0.22/0.51 % (19175)Memory used [KB]: 10618 0.22/0.51 % (19175)Time elapsed: 0.112 s 0.22/0.51 % (19175)------------------------------ 0.22/0.51 % (19175)------------------------------ 0.22/0.52 % (19181)dis+1_2:3_acc=on:add=large:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark 0.22/0.52 % (19170)lrs+11_128_av=off:bsr=on:cond=on:gs=on:lcm=reverse:lma=on:nm=32:nwc=1:stl=30:sd=5:ss=axioms:st=3.0_1 on theBenchmark 0.22/0.52 % (19168)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 0.22/0.52 % (19169)lrs+1011_5_add=large:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_10 on theBenchmark 0.22/0.52 % (19165)Refutation not found, incomplete strategy% (19165)------------------------------ 0.22/0.52 % (19165)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.22/0.52 % (19165)Termination reason: Refutation not found, incomplete strategy 0.22/0.52 0.22/0.52 % (19165)Memory used [KB]: 1663 0.22/0.52 % (19165)Time elapsed: 0.103 s 0.22/0.52 % (19165)------------------------------ 0.22/0.52 % (19165)------------------------------ 0.22/0.52 % (19191)Refutation found. Thanks to Tanya! 0.22/0.52 % SZS status Theorem for theBenchmark 0.22/0.52 % SZS output start Proof for theBenchmark 0.22/0.52 fof(f288,plain,( 0.22/0.52 $false), 0.22/0.52 inference(unit_resulting_resolution,[],[f236,f270,f221])). 0.22/0.52 fof(f221,plain,( 0.22/0.52 ( ! [X2,X0,X3,X1] : (between_c(sK23(X0,X1,X2,X3),X0,X1,X2) | ~between_o(X3,X0,X1,X2)) )), 0.22/0.52 inference(cnf_transformation,[],[f145])). 0.22/0.52 fof(f145,plain,( 0.22/0.52 ! [X0,X1,X2,X3] : ((between_o(X3,X0,X1,X2) | ! [X4] : (~between_c(X4,X0,X1,X2) | ((~incident_o(sK22(X3,X4),X3) | ~incident_c(sK22(X3,X4),X4)) & (incident_o(sK22(X3,X4),X3) | incident_c(sK22(X3,X4),X4))))) & ((between_c(sK23(X0,X1,X2,X3),X0,X1,X2) & ! [X7] : ((incident_c(X7,sK23(X0,X1,X2,X3)) | ~incident_o(X7,X3)) & (incident_o(X7,X3) | ~incident_c(X7,sK23(X0,X1,X2,X3))))) | ~between_o(X3,X0,X1,X2)))), 0.22/0.52 inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f142,f144,f143])). 0.22/0.52 fof(f143,plain,( 0.22/0.52 ! [X4,X3] : (? [X5] : ((~incident_o(X5,X3) | ~incident_c(X5,X4)) & (incident_o(X5,X3) | incident_c(X5,X4))) => ((~incident_o(sK22(X3,X4),X3) | ~incident_c(sK22(X3,X4),X4)) & (incident_o(sK22(X3,X4),X3) | incident_c(sK22(X3,X4),X4))))), 0.22/0.52 introduced(choice_axiom,[])). 0.22/0.52 fof(f144,plain,( 0.22/0.52 ! [X3,X2,X1,X0] : (? [X6] : (between_c(X6,X0,X1,X2) & ! [X7] : ((incident_c(X7,X6) | ~incident_o(X7,X3)) & (incident_o(X7,X3) | ~incident_c(X7,X6)))) => (between_c(sK23(X0,X1,X2,X3),X0,X1,X2) & ! [X7] : ((incident_c(X7,sK23(X0,X1,X2,X3)) | ~incident_o(X7,X3)) & (incident_o(X7,X3) | ~incident_c(X7,sK23(X0,X1,X2,X3))))))), 0.22/0.52 introduced(choice_axiom,[])). 0.22/0.52 fof(f142,plain,( 0.22/0.52 ! [X0,X1,X2,X3] : ((between_o(X3,X0,X1,X2) | ! [X4] : (~between_c(X4,X0,X1,X2) | ? [X5] : ((~incident_o(X5,X3) | ~incident_c(X5,X4)) & (incident_o(X5,X3) | incident_c(X5,X4))))) & (? [X6] : (between_c(X6,X0,X1,X2) & ! [X7] : ((incident_c(X7,X6) | ~incident_o(X7,X3)) & (incident_o(X7,X3) | ~incident_c(X7,X6)))) | ~between_o(X3,X0,X1,X2)))), 0.22/0.52 inference(rectify,[],[f141])). 0.22/0.52 fof(f141,plain,( 0.22/0.52 ! [X0,X1,X2,X3] : ((between_o(X3,X0,X1,X2) | ! [X4] : (~between_c(X4,X0,X1,X2) | ? [X5] : ((~incident_o(X5,X3) | ~incident_c(X5,X4)) & (incident_o(X5,X3) | incident_c(X5,X4))))) & (? [X4] : (between_c(X4,X0,X1,X2) & ! [X5] : ((incident_c(X5,X4) | ~incident_o(X5,X3)) & (incident_o(X5,X3) | ~incident_c(X5,X4)))) | ~between_o(X3,X0,X1,X2)))), 0.22/0.52 inference(nnf_transformation,[],[f53])). 0.22/0.52 fof(f53,plain,( 0.22/0.52 ! [X0,X1,X2,X3] : (between_o(X3,X0,X1,X2) <=> ? [X4] : (between_c(X4,X0,X1,X2) & ! [X5] : (incident_c(X5,X4) <=> incident_o(X5,X3))))), 0.22/0.52 inference(rectify,[],[f21])). 0.22/0.52 fof(f21,axiom,( 0.22/0.52 ! [X2,X3,X6,X8] : (between_o(X8,X2,X3,X6) <=> ? [X0] : (between_c(X0,X2,X3,X6) & ! [X2] : (incident_c(X2,X0) <=> incident_o(X2,X8))))), 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',o3)). 0.22/0.52 fof(f270,plain,( 0.22/0.52 between_o(sK0,sK1,sK2,sK1)), 0.22/0.52 inference(unit_resulting_resolution,[],[f248,f251,f218])). 0.22/0.52 fof(f218,plain,( 0.22/0.52 ( ! [X2,X0,X3,X1] : (between_o(X0,X1,X2,X3) | ~ordered_by(X0,X2,X3) | ~ordered_by(X0,X1,X2)) )), 0.22/0.52 inference(cnf_transformation,[],[f140])). 0.22/0.52 fof(f140,plain,( 0.22/0.52 ! [X0,X1,X2,X3] : ((between_o(X0,X1,X2,X3) | ((~ordered_by(X0,X2,X3) | ~ordered_by(X0,X1,X2)) & (~ordered_by(X0,X2,X1) | ~ordered_by(X0,X3,X2)))) & ((ordered_by(X0,X2,X3) & ordered_by(X0,X1,X2)) | (ordered_by(X0,X2,X1) & ordered_by(X0,X3,X2)) | ~between_o(X0,X1,X2,X3)))), 0.22/0.52 inference(flattening,[],[f139])). 0.22/0.52 fof(f139,plain,( 0.22/0.52 ! [X0,X1,X2,X3] : ((between_o(X0,X1,X2,X3) | ((~ordered_by(X0,X2,X3) | ~ordered_by(X0,X1,X2)) & (~ordered_by(X0,X2,X1) | ~ordered_by(X0,X3,X2)))) & (((ordered_by(X0,X2,X3) & ordered_by(X0,X1,X2)) | (ordered_by(X0,X2,X1) & ordered_by(X0,X3,X2))) | ~between_o(X0,X1,X2,X3)))), 0.22/0.52 inference(nnf_transformation,[],[f52])). 0.22/0.52 fof(f52,plain,( 0.22/0.52 ! [X0,X1,X2,X3] : (between_o(X0,X1,X2,X3) <=> ((ordered_by(X0,X2,X3) & ordered_by(X0,X1,X2)) | (ordered_by(X0,X2,X1) & ordered_by(X0,X3,X2))))), 0.22/0.52 inference(rectify,[],[f27])). 0.22/0.52 fof(f27,axiom,( 0.22/0.52 ! [X8,X2,X3,X6] : (between_o(X8,X2,X3,X6) <=> ((ordered_by(X8,X3,X6) & ordered_by(X8,X2,X3)) | (ordered_by(X8,X3,X2) & ordered_by(X8,X6,X3))))), 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_o_defn)). 0.22/0.52 fof(f251,plain,( 0.22/0.52 ordered_by(sK0,sK1,sK2)), 0.22/0.52 inference(unit_resulting_resolution,[],[f151,f153,f246,f176])). 0.22/0.52 fof(f176,plain,( 0.22/0.52 ( ! [X2,X0,X1] : (ordered_by(X1,X0,X2) | ~incident_o(X2,X1) | X0 = X2 | ~start_point(X0,X1)) )), 0.22/0.52 inference(cnf_transformation,[],[f68])). 0.22/0.52 fof(f68,plain,( 0.22/0.52 ! [X0,X1] : ((! [X2] : (ordered_by(X1,X0,X2) | ~incident_o(X2,X1) | X0 = X2) & incident_o(X0,X1)) | ~start_point(X0,X1))), 0.22/0.52 inference(flattening,[],[f67])). 0.22/0.52 fof(f67,plain,( 0.22/0.52 ! [X0,X1] : ((! [X2] : (ordered_by(X1,X0,X2) | (~incident_o(X2,X1) | X0 = X2)) & incident_o(X0,X1)) | ~start_point(X0,X1))), 0.22/0.52 inference(ennf_transformation,[],[f55])). 0.22/0.52 fof(f55,plain,( 0.22/0.52 ! [X0,X1] : (start_point(X0,X1) => (! [X2] : ((incident_o(X2,X1) & X0 != X2) => ordered_by(X1,X0,X2)) & incident_o(X0,X1)))), 0.22/0.52 inference(unused_predicate_definition_removal,[],[f42])). 0.22/0.52 fof(f42,plain,( 0.22/0.52 ! [X0,X1] : ((! [X2] : ((incident_o(X2,X1) & X0 != X2) => ordered_by(X1,X0,X2)) & incident_o(X0,X1)) <=> start_point(X0,X1))), 0.22/0.52 inference(rectify,[],[f18])). 0.22/0.52 fof(f18,axiom,( 0.22/0.52 ! [X2,X8] : ((! [X3] : ((incident_o(X3,X8) & X2 != X3) => ordered_by(X8,X2,X3)) & incident_o(X2,X8)) <=> start_point(X2,X8))), 0.22/0.52 file('/export/starexec/sandbox/benchmark/theBenchmark.p',start_point_defn)). 0.22/0.53 fof(f246,plain,( 0.22/0.53 incident_o(sK2,sK0)), 0.22/0.53 inference(unit_resulting_resolution,[],[f152,f175])). 0.22/0.53 fof(f175,plain,( 0.22/0.53 ( ! [X0,X1] : (incident_o(X0,X1) | ~start_point(X0,X1)) )), 0.22/0.53 inference(cnf_transformation,[],[f68])). 0.22/0.53 fof(f152,plain,( 0.22/0.53 start_point(sK2,sK0)), 0.22/0.53 inference(cnf_transformation,[],[f84])). 0.22/0.53 fof(f84,plain,( 0.22/0.53 sK1 != sK2 & start_point(sK2,sK0) & start_point(sK1,sK0)), 0.22/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f58,f83])). 0.22/0.53 fof(f83,plain,( 0.22/0.53 ? [X0,X1,X2] : (X1 != X2 & start_point(X2,X0) & start_point(X1,X0)) => (sK1 != sK2 & start_point(sK2,sK0) & start_point(sK1,sK0))), 0.22/0.53 introduced(choice_axiom,[])). 0.22/0.53 fof(f58,plain,( 0.22/0.53 ? [X0,X1,X2] : (X1 != X2 & start_point(X2,X0) & start_point(X1,X0))), 0.22/0.53 inference(flattening,[],[f57])). 0.22/0.53 fof(f57,plain,( 0.22/0.53 ? [X0,X1,X2] : (X1 != X2 & (start_point(X2,X0) & start_point(X1,X0)))), 0.22/0.53 inference(ennf_transformation,[],[f30])). 0.22/0.53 fof(f30,plain,( 0.22/0.53 ~! [X0,X1,X2] : ((start_point(X2,X0) & start_point(X1,X0)) => X1 = X2)), 0.22/0.53 inference(rectify,[],[f29])). 0.22/0.53 fof(f29,negated_conjecture,( 0.22/0.53 ~! [X8,X2,X3] : ((start_point(X3,X8) & start_point(X2,X8)) => X2 = X3)), 0.22/0.53 inference(negated_conjecture,[],[f28])). 0.22/0.53 fof(f28,conjecture,( 0.22/0.53 ! [X8,X2,X3] : ((start_point(X3,X8) & start_point(X2,X8)) => X2 = X3)), 0.22/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',corollary_4_10_1)). 0.22/0.53 fof(f153,plain,( 0.22/0.53 sK1 != sK2), 0.22/0.53 inference(cnf_transformation,[],[f84])). 0.22/0.53 fof(f151,plain,( 0.22/0.53 start_point(sK1,sK0)), 0.22/0.53 inference(cnf_transformation,[],[f84])). 0.22/0.53 fof(f248,plain,( 0.22/0.53 ordered_by(sK0,sK2,sK1)), 0.22/0.53 inference(unit_resulting_resolution,[],[f152,f153,f245,f176])). 0.22/0.53 fof(f245,plain,( 0.22/0.53 incident_o(sK1,sK0)), 0.22/0.53 inference(unit_resulting_resolution,[],[f151,f175])). 0.22/0.53 fof(f236,plain,( 0.22/0.53 ( ! [X2,X0,X3] : (~between_c(X0,X3,X2,X3)) )), 0.22/0.53 inference(equality_resolution,[],[f225])). 0.22/0.53 fof(f225,plain,( 0.22/0.53 ( ! [X2,X0,X3,X1] : (X1 != X3 | ~between_c(X0,X1,X2,X3)) )), 0.22/0.53 inference(cnf_transformation,[],[f150])). 0.22/0.53 fof(f150,plain,( 0.22/0.53 ! [X0,X1,X2,X3] : ((((part_of(sK24(X0,X1,X2,X3),X0) & end_point(X3,sK24(X0,X1,X2,X3)) & inner_point(X2,sK24(X0,X1,X2,X3)) & end_point(X1,sK24(X0,X1,X2,X3))) & X1 != X3) | ~between_c(X0,X1,X2,X3)) & (between_c(X0,X1,X2,X3) | ! [X5] : (~part_of(X5,X0) | ~end_point(X3,X5) | ~inner_point(X2,X5) | ~end_point(X1,X5)) | X1 = X3))), 0.22/0.53 inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f148,f149])). 0.22/0.53 fof(f149,plain,( 0.22/0.53 ! [X3,X2,X1,X0] : (? [X4] : (part_of(X4,X0) & end_point(X3,X4) & inner_point(X2,X4) & end_point(X1,X4)) => (part_of(sK24(X0,X1,X2,X3),X0) & end_point(X3,sK24(X0,X1,X2,X3)) & inner_point(X2,sK24(X0,X1,X2,X3)) & end_point(X1,sK24(X0,X1,X2,X3))))), 0.22/0.53 introduced(choice_axiom,[])). 0.22/0.53 fof(f148,plain,( 0.22/0.53 ! [X0,X1,X2,X3] : (((? [X4] : (part_of(X4,X0) & end_point(X3,X4) & inner_point(X2,X4) & end_point(X1,X4)) & X1 != X3) | ~between_c(X0,X1,X2,X3)) & (between_c(X0,X1,X2,X3) | ! [X5] : (~part_of(X5,X0) | ~end_point(X3,X5) | ~inner_point(X2,X5) | ~end_point(X1,X5)) | X1 = X3))), 0.22/0.53 inference(rectify,[],[f147])). 0.22/0.53 fof(f147,plain,( 0.22/0.53 ! [X0,X1,X2,X3] : (((? [X4] : (part_of(X4,X0) & end_point(X3,X4) & inner_point(X2,X4) & end_point(X1,X4)) & X1 != X3) | ~between_c(X0,X1,X2,X3)) & (between_c(X0,X1,X2,X3) | ! [X4] : (~part_of(X4,X0) | ~end_point(X3,X4) | ~inner_point(X2,X4) | ~end_point(X1,X4)) | X1 = X3))), 0.22/0.53 inference(flattening,[],[f146])). 0.22/0.53 fof(f146,plain,( 0.22/0.53 ! [X0,X1,X2,X3] : (((? [X4] : (part_of(X4,X0) & end_point(X3,X4) & inner_point(X2,X4) & end_point(X1,X4)) & X1 != X3) | ~between_c(X0,X1,X2,X3)) & (between_c(X0,X1,X2,X3) | (! [X4] : (~part_of(X4,X0) | ~end_point(X3,X4) | ~inner_point(X2,X4) | ~end_point(X1,X4)) | X1 = X3)))), 0.22/0.53 inference(nnf_transformation,[],[f54])). 0.22/0.53 fof(f54,plain,( 0.22/0.53 ! [X0,X1,X2,X3] : ((? [X4] : (part_of(X4,X0) & end_point(X3,X4) & inner_point(X2,X4) & end_point(X1,X4)) & X1 != X3) <=> between_c(X0,X1,X2,X3))), 0.22/0.53 inference(rectify,[],[f17])). 0.22/0.53 fof(f17,axiom,( 0.22/0.53 ! [X0,X2,X3,X6] : ((? [X7] : (part_of(X7,X0) & end_point(X6,X7) & inner_point(X3,X7) & end_point(X2,X7)) & X2 != X6) <=> between_c(X0,X2,X3,X6))), 0.22/0.53 file('/export/starexec/sandbox/benchmark/theBenchmark.p',between_c_defn)). 0.22/0.53 % SZS output end Proof for theBenchmark 0.22/0.53 % (19191)------------------------------ 0.22/0.53 % (19191)Version: Vampire 4.5.0 (commit 2ee491ce on 2020-06-19 13:55:12 +0100) 0.22/0.53 % (19191)Termination reason: Refutation 0.22/0.53 0.22/0.53 % (19191)Memory used [KB]: 10874 0.22/0.53 % (19191)Time elapsed: 0.120 s 0.22/0.53 % (19191)------------------------------ 0.22/0.53 % (19191)------------------------------ 0.22/0.53 % (19188)ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off_197 on theBenchmark 0.22/0.53 % (19164)Success in time 0.158 s 0.22/0.53 EOF