0.00/0.04 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.24 % Computer : n172.star.cs.uiowa.edu 0.03/0.24 % Model : x86_64 x86_64 0.03/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.24 % Memory : 32218.625MB 0.03/0.24 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.24 % CPULimit : 300 0.03/0.24 % DateTime : Sat Jul 14 04:57:10 CDT 2018 0.03/0.24 % CPUTime : 0.07/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.07/0.24 % remaining time: 5999 next slice time: 4 0.07/0.27 dis+1010_4_afp=10000:afq=1.2:anc=none:irw=on:lma=on:nm=64:nwc=10:sas=z3:sac=on:sp=reverse_arity:updr=off_2 on theBenchmark 0.07/0.30 % Refutation found. Thanks to Tanya! 0.07/0.30 % SZS status Theorem for theBenchmark 0.07/0.30 % SZS output start Proof for theBenchmark 0.07/0.30 fof(f10,axiom,( 0.07/0.30 ! [X17] : (vnoType = X17 => ~visSomeType(X17))), 0.07/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isSomeType0)). 0.07/0.30 fof(f15,axiom,( 0.07/0.30 ! [X19] : (vnoExp = X19 => ~visSomeExp(X19))), 0.07/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isSomeExp0)). 0.07/0.30 fof(f22,axiom,( 0.07/0.30 ! [X24,X9] : (vgensym(X9) = X24 => ~visFreeVar(X24,X9))), 0.07/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gensym-is-fresh')). 0.07/0.30 fof(f44,axiom,( 0.07/0.30 ! [X2,X7,X12,X24,X20] : ((vapp(X12,X20) = X7 & X2 = X24) => (((visFreeVar(X24,X20) | visFreeVar(X24,X12)) => visFreeVar(X2,X7)) & (visFreeVar(X2,X7) => (visFreeVar(X24,X20) | visFreeVar(X24,X12)))))), 0.07/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar2)). 0.07/0.30 fof(f52,axiom,( 0.07/0.30 ! [X2,X7,X5,X24] : ((X2 = X24 & vvar(X5) = X7) => ((visFreeVar(X2,X7) => X5 = X24) & (X5 = X24 => visFreeVar(X2,X7))))), 0.07/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar0)). 0.07/0.30 fof(f63,conjecture,( 0.07/0.30 ! [X9,X12,X5,X11] : (vgensym(vapp(vapp(X9,X12),vvar(X5))) = X11 => X5 != X11)), 0.07/0.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-unequal-var-3')). 0.07/0.30 fof(f64,negated_conjecture,( 0.07/0.30 ~! [X9,X12,X5,X11] : (vgensym(vapp(vapp(X9,X12),vvar(X5))) = X11 => X5 != X11)), 0.07/0.30 inference(negated_conjecture,[],[f63])). 0.07/0.30 fof(f67,plain,( 0.07/0.30 ~! [X0,X1,X2,X3] : (vgensym(vapp(vapp(X0,X1),vvar(X2))) = X3 => X2 != X3)), 0.07/0.30 inference(rectify,[],[f64])). 0.07/0.30 fof(f74,plain,( 0.07/0.30 ! [X0] : (vnoType = X0 => ~visSomeType(X0))), 0.07/0.30 inference(rectify,[],[f10])). 0.07/0.30 fof(f75,plain,( 0.07/0.30 ! [X0] : (vnoExp = X0 => ~visSomeExp(X0))), 0.07/0.30 inference(rectify,[],[f15])). 0.07/0.30 fof(f83,plain,( 0.07/0.30 ! [X0,X1] : (vgensym(X1) = X0 => ~visFreeVar(X0,X1))), 0.07/0.30 inference(rectify,[],[f22])). 0.07/0.30 fof(f103,plain,( 0.07/0.30 ! [X0,X1,X2,X3] : ((X0 = X3 & vvar(X2) = X1) => ((visFreeVar(X0,X1) => X2 = X3) & (X2 = X3 => visFreeVar(X0,X1))))), 0.07/0.30 inference(rectify,[],[f52])). 0.07/0.30 fof(f110,plain,( 0.07/0.30 ! [X0,X1,X2,X3,X4] : ((vapp(X2,X4) = X1 & X0 = X3) => (((visFreeVar(X3,X4) | visFreeVar(X3,X2)) => visFreeVar(X0,X1)) & (visFreeVar(X0,X1) => (visFreeVar(X3,X4) | visFreeVar(X3,X2)))))), 0.07/0.30 inference(rectify,[],[f44])). 0.07/0.30 fof(f131,plain,( 0.07/0.30 ? [X0,X1,X2,X3] : (X2 = X3 & vgensym(vapp(vapp(X0,X1),vvar(X2))) = X3)), 0.07/0.30 inference(ennf_transformation,[],[f67])). 0.07/0.30 fof(f132,plain,( 0.07/0.30 ! [X0] : (~visSomeType(X0) | vnoType != X0)), 0.07/0.30 inference(ennf_transformation,[],[f74])). 0.07/0.30 fof(f133,plain,( 0.07/0.30 ! [X0] : (~visSomeExp(X0) | vnoExp != X0)), 0.07/0.30 inference(ennf_transformation,[],[f75])). 0.07/0.30 fof(f141,plain,( 0.07/0.30 ! [X0,X1] : (~visFreeVar(X0,X1) | vgensym(X1) != X0)), 0.07/0.30 inference(ennf_transformation,[],[f83])). 0.07/0.30 fof(f170,plain,( 0.07/0.30 ! [X0,X1,X2,X3] : (((X2 = X3 | ~visFreeVar(X0,X1)) & (visFreeVar(X0,X1) | X2 != X3)) | (X0 != X3 | vvar(X2) != X1))), 0.07/0.30 inference(ennf_transformation,[],[f103])). 0.07/0.30 fof(f171,plain,( 0.07/0.30 ! [X0,X1,X2,X3] : (((X2 = X3 | ~visFreeVar(X0,X1)) & (visFreeVar(X0,X1) | X2 != X3)) | X0 != X3 | vvar(X2) != X1)), 0.07/0.30 inference(flattening,[],[f170])). 0.07/0.30 fof(f181,plain,( 0.07/0.30 ! [X0,X1,X2,X3,X4] : (((visFreeVar(X0,X1) | (~visFreeVar(X3,X4) & ~visFreeVar(X3,X2))) & ((visFreeVar(X3,X4) | visFreeVar(X3,X2)) | ~visFreeVar(X0,X1))) | (vapp(X2,X4) != X1 | X0 != X3))), 0.07/0.30 inference(ennf_transformation,[],[f110])). 0.07/0.30 fof(f182,plain,( 0.07/0.30 ! [X0,X1,X2,X3,X4] : (((visFreeVar(X0,X1) | (~visFreeVar(X3,X4) & ~visFreeVar(X3,X2))) & (visFreeVar(X3,X4) | visFreeVar(X3,X2) | ~visFreeVar(X0,X1))) | vapp(X2,X4) != X1 | X0 != X3)), 0.07/0.30 inference(flattening,[],[f181])). 0.07/0.30 fof(f235,plain,( 0.07/0.30 ? [X0,X1,X2,X3] : (X2 = X3 & vgensym(vapp(vapp(X0,X1),vvar(X2))) = X3) => (sK10 = sK11 & vgensym(vapp(vapp(sK8,sK9),vvar(sK10))) = sK11)), 0.07/0.30 introduced(choice_axiom,[])). 0.07/0.30 fof(f236,plain,( 0.07/0.30 sK10 = sK11 & vgensym(vapp(vapp(sK8,sK9),vvar(sK10))) = sK11), 0.07/0.30 inference(skolemisation,[status(esa),new_symbols(skolem,[sK8,sK9,sK10,sK11])],[f131,f235])). 0.07/0.30 fof(f290,plain,( 0.07/0.30 vgensym(vapp(vapp(sK8,sK9),vvar(sK10))) = sK11), 0.07/0.30 inference(cnf_transformation,[],[f236])). 0.07/0.30 fof(f291,plain,( 0.07/0.30 sK10 = sK11), 0.07/0.30 inference(cnf_transformation,[],[f236])). 0.07/0.30 fof(f298,plain,( 0.07/0.30 ( ! [X0] : (~visSomeType(X0) | vnoType != X0) )), 0.07/0.30 inference(cnf_transformation,[],[f132])). 0.07/0.30 fof(f299,plain,( 0.07/0.30 ( ! [X0] : (~visSomeExp(X0) | vnoExp != X0) )), 0.07/0.30 inference(cnf_transformation,[],[f133])). 0.07/0.30 fof(f310,plain,( 0.07/0.30 ( ! [X0,X1] : (~visFreeVar(X0,X1) | vgensym(X1) != X0) )), 0.07/0.30 inference(cnf_transformation,[],[f141])). 0.07/0.30 fof(f475,plain,( 0.07/0.30 ( ! [X2,X0,X3,X1] : (visFreeVar(X0,X1) | X2 != X3 | X0 != X3 | vvar(X2) != X1) )), 0.07/0.30 inference(cnf_transformation,[],[f171])). 0.07/0.30 fof(f485,plain,( 0.07/0.30 ( ! [X4,X2,X0,X3,X1] : (visFreeVar(X0,X1) | ~visFreeVar(X3,X4) | vapp(X2,X4) != X1 | X0 != X3) )), 0.07/0.30 inference(cnf_transformation,[],[f182])). 0.07/0.30 fof(f515,plain,( 0.07/0.30 ~visSomeType(vnoType)), 0.07/0.30 inference(equality_resolution,[],[f298])). 0.07/0.30 fof(f516,plain,( 0.07/0.30 ~visSomeExp(vnoExp)), 0.07/0.30 inference(equality_resolution,[],[f299])). 0.07/0.30 fof(f523,plain,( 0.07/0.30 ( ! [X1] : (~visFreeVar(vgensym(X1),X1)) )), 0.07/0.30 inference(equality_resolution,[],[f310])). 0.07/0.30 fof(f625,plain,( 0.07/0.30 ( ! [X0,X3,X1] : (visFreeVar(X0,X1) | X0 != X3 | vvar(X3) != X1) )), 0.07/0.30 inference(equality_resolution,[],[f475])). 0.07/0.30 fof(f626,plain,( 0.07/0.30 ( ! [X3,X1] : (visFreeVar(X3,X1) | vvar(X3) != X1) )), 0.07/0.30 inference(equality_resolution,[],[f625])). 0.07/0.30 fof(f627,plain,( 0.07/0.30 ( ! [X3] : (visFreeVar(X3,vvar(X3))) )), 0.07/0.30 inference(equality_resolution,[],[f626])). 0.07/0.30 fof(f630,plain,( 0.07/0.30 ( ! [X4,X2,X0,X3] : (visFreeVar(X0,vapp(X2,X4)) | ~visFreeVar(X3,X4) | X0 != X3) )), 0.07/0.30 inference(equality_resolution,[],[f485])). 0.07/0.30 fof(f631,plain,( 0.07/0.30 ( ! [X4,X2,X3] : (visFreeVar(X3,vapp(X2,X4)) | ~visFreeVar(X3,X4)) )), 0.07/0.30 inference(equality_resolution,[],[f630])). 0.07/0.30 fof(f707,plain,( 0.07/0.30 spl86_0 <=> sK10 = sK11), 0.07/0.30 introduced(avatar_definition,[new_symbols(naming,[spl86_0])])). 0.07/0.30 fof(f708,plain,( 0.07/0.30 sK10 = sK11 | ~spl86_0), 0.07/0.30 inference(avatar_component_clause,[],[f707])). 0.07/0.30 fof(f709,plain,( 0.07/0.30 spl86_0), 0.07/0.30 inference(avatar_split_clause,[],[f291,f707])). 0.07/0.30 fof(f710,plain,( 0.07/0.30 vgensym(vapp(vapp(sK8,sK9),vvar(sK10))) = sK10 | ~spl86_0), 0.07/0.30 inference(forward_demodulation,[],[f290,f708])). 0.07/0.30 fof(f715,plain,( 0.07/0.30 spl86_2 <=> vgensym(vapp(vapp(sK8,sK9),vvar(sK10))) = sK10), 0.07/0.30 introduced(avatar_definition,[new_symbols(naming,[spl86_2])])). 0.07/0.30 fof(f716,plain,( 0.07/0.30 vgensym(vapp(vapp(sK8,sK9),vvar(sK10))) = sK10 | ~spl86_2), 0.07/0.30 inference(avatar_component_clause,[],[f715])). 0.07/0.30 fof(f717,plain,( 0.07/0.30 spl86_2 | ~spl86_0), 0.07/0.30 inference(avatar_split_clause,[],[f710,f707,f715])). 0.07/0.30 fof(f722,plain,( 0.07/0.30 spl86_5 <=> ~visSomeType(vnoType)), 0.07/0.30 introduced(avatar_definition,[new_symbols(naming,[spl86_5])])). 0.07/0.30 fof(f724,plain,( 0.07/0.30 ~spl86_5), 0.07/0.30 inference(avatar_split_clause,[],[f515,f722])). 0.07/0.30 fof(f729,plain,( 0.07/0.30 spl86_7 <=> ~visSomeExp(vnoExp)), 0.07/0.30 introduced(avatar_definition,[new_symbols(naming,[spl86_7])])). 0.07/0.30 fof(f731,plain,( 0.07/0.30 ~spl86_7), 0.07/0.30 inference(avatar_split_clause,[],[f516,f729])). 0.07/0.30 fof(f732,plain,( 0.07/0.30 ~visFreeVar(sK10,vapp(vapp(sK8,sK9),vvar(sK10))) | ~spl86_2), 0.07/0.30 inference(superposition,[],[f523,f716])). 0.07/0.30 fof(f737,plain,( 0.07/0.30 spl86_9 <=> ~visFreeVar(sK10,vapp(vapp(sK8,sK9),vvar(sK10)))), 0.07/0.30 introduced(avatar_definition,[new_symbols(naming,[spl86_9])])). 0.07/0.30 fof(f738,plain,( 0.07/0.30 ~visFreeVar(sK10,vapp(vapp(sK8,sK9),vvar(sK10))) | ~spl86_9), 0.07/0.30 inference(avatar_component_clause,[],[f737])). 0.07/0.30 fof(f739,plain,( 0.07/0.30 ~spl86_9 | ~spl86_2), 0.07/0.30 inference(avatar_split_clause,[],[f732,f715,f737])). 0.07/0.30 fof(f746,plain,( 0.07/0.30 ~visFreeVar(sK10,vvar(sK10)) | ~spl86_9), 0.07/0.30 inference(resolution,[],[f631,f738])). 0.07/0.30 fof(f747,plain,( 0.07/0.30 $false | ~spl86_9), 0.07/0.30 inference(subsumption_resolution,[],[f746,f627])). 0.07/0.30 fof(f748,plain,( 0.07/0.30 spl86_9), 0.07/0.30 inference(avatar_contradiction_clause,[],[f747])). 0.07/0.30 fof(f749,plain,( 0.07/0.30 $false), 0.07/0.30 inference(avatar_sat_refutation,[],[f709,f717,f724,f731,f739,f748])). 0.07/0.30 % SZS output end Proof for theBenchmark 0.07/0.30 % ------------------------------ 0.07/0.30 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.07/0.30 % Termination reason: Refutation 0.07/0.30 0.07/0.30 % Memory used [KB]: 895 0.07/0.30 % Time elapsed: 0.028 s 0.07/0.30 % ------------------------------ 0.07/0.30 % ------------------------------ 0.07/0.30 % Success in time 0.061 s 0.14/0.31 EOF