0.03/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.03/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.14/0.34 % Computer : n025.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 960 0.14/0.34 % WCLimit : 120 0.14/0.34 % DateTime : Tue Aug 9 05:39:26 EDT 2022 0.14/0.35 % CPUTime : 0.14/0.35 This is a FOF_ problem 0.14/0.35 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox/benchmark/theBenchmark.p 0.22/0.36 % (13871)Running in auto input_syntax mode. Trying TPTP 0.22/0.42 % (13877)ott+1010_5:4_av=off:bd=off:fde=none:irw=on:lma=on:nm=32:nwc=2.5:sd=2:ss=axioms:st=3.0:urr=on_5 on theBenchmark 0.22/0.42 % (13875)ott+11_2:1_add=large:afp=40000:afq=2.0:amm=sco:anc=none:br=off:cond=on:irw=on:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:urr=on:updr=off_3 on theBenchmark 0.22/0.42 % (13876)dis+1010_10_afr=on:afp=100000:afq=2.0:amm=sco:anc=none:ep=RS:fde=unused:gs=on:nwc=1:sos=on:sac=on:sp=occurrence_2 on theBenchmark 0.22/0.43 % (13881)ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_22 on theBenchmark 0.22/0.43 WARNING Broken Constraint: if sat_solver(z3) has been set then avatar(off) is equal to on 0.22/0.43 % (13878)lrs+4_2_av=off:gs=on:gsem=on:lma=on:nm=16:nwc=1:sas=z3:stl=30:sos=on:urr=on_3 on theBenchmark 0.22/0.43 % (13876)Refutation not found, incomplete strategy% (13876)------------------------------ 0.22/0.43 % (13876)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.22/0.43 % (13876)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.22/0.43 % (13876)Termination reason: Refutation not found, incomplete strategy 0.22/0.43 0.22/0.43 % (13880)dis+1011_10_aac=none:add=large:afp=10000:afq=1.1:amm=off:anc=none:fsr=off:gs=on:gsem=off:irw=on:nm=6:newcnf=on:nwc=2.5:sp=reverse_arity:updr=off_2 on theBenchmark 0.22/0.43 % (13876)Memory used [KB]: 11385 0.22/0.43 % (13876)Time elapsed: 0.011 s 0.22/0.43 % (13876)------------------------------ 0.22/0.43 % (13876)------------------------------ 0.22/0.43 % (13879)lrs+1011_3:1_add=off:afr=on:afp=10000:afq=1.1:amm=off:bce=on:cond=on:ep=R:fsr=off:nm=16:nwc=1:stl=30:sos=all:sp=reverse_arity:updr=off_2 on theBenchmark 0.22/0.43 % (13882)lrs+1_2:3_aac=none:afr=on:afp=100000:afq=1.0:amm=sco:bd=off:fde=none:gs=on:gsem=on:irw=on:nm=4:nwc=1:stl=30:sos=on:sac=on:sp=occurrence:urr=ec_only:updr=off:uhcvi=on_16 on theBenchmark 0.22/0.46 % (13882)First to succeed. 0.22/0.46 % (13882)Refutation found. Thanks to Tanya! 0.22/0.46 % SZS status Theorem for theBenchmark 0.22/0.46 % SZS output start Proof for theBenchmark 0.22/0.46 fof(f830,plain,( 0.22/0.46 $false), 0.22/0.46 inference(avatar_sat_refutation,[],[f576,f703,f710,f799,f811,f817,f829])). 0.22/0.46 fof(f829,plain,( 0.22/0.46 ~spl92_8), 0.22/0.46 inference(avatar_contradiction_clause,[],[f824])). 0.22/0.46 fof(f824,plain,( 0.22/0.46 $false | ~spl92_8), 0.22/0.46 inference(unit_resulting_resolution,[],[f294,f702,f494])). 0.22/0.46 fof(f494,plain,( 0.22/0.46 ( ! [X2,X3,X4] : (~visFreeVar(X3,X4) | visFreeVar(X3,vapp(X2,X4))) )), 0.22/0.46 inference(equality_resolution,[],[f493])). 0.22/0.46 fof(f493,plain,( 0.22/0.46 ( ! [X2,X3,X0,X4] : (visFreeVar(X0,vapp(X2,X4)) | ~visFreeVar(X3,X4) | X0 != X3) )), 0.22/0.46 inference(equality_resolution,[],[f416])). 0.22/0.46 fof(f416,plain,( 0.22/0.46 ( ! [X2,X3,X0,X1,X4] : (visFreeVar(X0,X1) | ~visFreeVar(X3,X4) | vapp(X2,X4) != X1 | X0 != X3) )), 0.22/0.46 inference(cnf_transformation,[],[f161])). 0.22/0.46 fof(f161,plain,( 0.22/0.46 ! [X0,X1,X2,X3,X4] : (((visFreeVar(X3,X4) | visFreeVar(X3,X2) | ~visFreeVar(X0,X1)) & (visFreeVar(X0,X1) | (~visFreeVar(X3,X2) & ~visFreeVar(X3,X4)))) | vapp(X2,X4) != X1 | X0 != X3)), 0.22/0.46 inference(flattening,[],[f160])). 0.22/0.46 fof(f160,plain,( 0.22/0.46 ! [X0,X1,X2,X3,X4] : ((((visFreeVar(X3,X4) | visFreeVar(X3,X2)) | ~visFreeVar(X0,X1)) & (visFreeVar(X0,X1) | (~visFreeVar(X3,X2) & ~visFreeVar(X3,X4)))) | (vapp(X2,X4) != X1 | X0 != X3))), 0.22/0.46 inference(ennf_transformation,[],[f96])). 0.22/0.46 fof(f96,plain,( 0.22/0.46 ! [X0,X1,X2,X3,X4] : ((vapp(X2,X4) = X1 & X0 = X3) => ((visFreeVar(X0,X1) => (visFreeVar(X3,X4) | visFreeVar(X3,X2))) & ((visFreeVar(X3,X2) | visFreeVar(X3,X4)) => visFreeVar(X0,X1))))), 0.22/0.46 inference(rectify,[],[f26])). 0.22/0.46 fof(f26,axiom,( 0.22/0.46 ! [X4,X3,X9,X22,X10] : ((vapp(X9,X10) = X3 & X4 = X22) => ((visFreeVar(X4,X3) => (visFreeVar(X22,X10) | visFreeVar(X22,X9))) & ((visFreeVar(X22,X9) | visFreeVar(X22,X10)) => visFreeVar(X4,X3))))), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar2)). 0.22/0.46 fof(f702,plain,( 0.22/0.46 visFreeVar(sK14,ve2app) | ~spl92_8), 0.22/0.46 inference(avatar_component_clause,[],[f701])). 0.22/0.46 fof(f701,plain,( 0.22/0.46 spl92_8 <=> visFreeVar(sK14,ve2app)), 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl92_8])])). 0.22/0.46 fof(f294,plain,( 0.22/0.46 ~visFreeVar(sK14,vapp(ve1app,ve2app))), 0.22/0.46 inference(cnf_transformation,[],[f221])). 0.22/0.46 fof(f221,plain,( 0.22/0.46 ~vtcheck(sK16,vapp(ve1app,ve2app),sK17) & vtcheck(vbind(sK14,sK15,sK16),vapp(ve1app,ve2app),sK17) & ~visFreeVar(sK14,vapp(ve1app,ve2app))), 0.22/0.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK14,sK15,sK16,sK17])],[f118,f220])). 0.22/0.46 fof(f220,plain,( 0.22/0.46 ? [X0,X1,X2,X3] : (~vtcheck(X2,vapp(ve1app,ve2app),X3) & vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) & ~visFreeVar(X0,vapp(ve1app,ve2app))) => (~vtcheck(sK16,vapp(ve1app,ve2app),sK17) & vtcheck(vbind(sK14,sK15,sK16),vapp(ve1app,ve2app),sK17) & ~visFreeVar(sK14,vapp(ve1app,ve2app)))), 0.22/0.46 introduced(choice_axiom,[])). 0.22/0.46 fof(f118,plain,( 0.22/0.46 ? [X0,X1,X2,X3] : (~vtcheck(X2,vapp(ve1app,ve2app),X3) & vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) & ~visFreeVar(X0,vapp(ve1app,ve2app)))), 0.22/0.46 inference(flattening,[],[f117])). 0.22/0.46 fof(f117,plain,( 0.22/0.46 ? [X0,X1,X2,X3] : (~vtcheck(X2,vapp(ve1app,ve2app),X3) & (vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) & ~visFreeVar(X0,vapp(ve1app,ve2app))))), 0.22/0.46 inference(ennf_transformation,[],[f60])). 0.22/0.46 fof(f60,plain,( 0.22/0.46 ~! [X0,X1,X2,X3] : ((vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) & ~visFreeVar(X0,vapp(ve1app,ve2app))) => vtcheck(X2,vapp(ve1app,ve2app),X3))), 0.22/0.46 inference(rectify,[],[f59])). 0.22/0.46 fof(f59,negated_conjecture,( 0.22/0.46 ~! [X0,X1,X21,X11] : ((vtcheck(vbind(X0,X1,X21),vapp(ve1app,ve2app),X11) & ~visFreeVar(X0,vapp(ve1app,ve2app))) => vtcheck(X21,vapp(ve1app,ve2app),X11))), 0.22/0.46 inference(negated_conjecture,[],[f58])). 0.22/0.46 fof(f58,conjecture,( 0.22/0.46 ! [X0,X1,X21,X11] : ((vtcheck(vbind(X0,X1,X21),vapp(ve1app,ve2app),X11) & ~visFreeVar(X0,vapp(ve1app,ve2app))) => vtcheck(X21,vapp(ve1app,ve2app),X11))), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app')). 0.22/0.46 fof(f817,plain,( 0.22/0.46 ~spl92_7 | ~spl92_10), 0.22/0.46 inference(avatar_contradiction_clause,[],[f812])). 0.22/0.46 fof(f812,plain,( 0.22/0.46 $false | (~spl92_7 | ~spl92_10)), 0.22/0.46 inference(unit_resulting_resolution,[],[f296,f699,f798,f420])). 0.22/0.46 fof(f420,plain,( 0.22/0.46 ( ! [X2,X3,X0,X1,X4] : (~vtcheck(X1,X2,varrow(X0,X4)) | vtcheck(X1,vapp(X2,X3),X4) | ~vtcheck(X1,X3,X0)) )), 0.22/0.46 inference(cnf_transformation,[],[f165])). 0.22/0.46 fof(f165,plain,( 0.22/0.46 ! [X0,X1,X2,X3,X4] : (vtcheck(X1,vapp(X2,X3),X4) | ~vtcheck(X1,X2,varrow(X0,X4)) | ~vtcheck(X1,X3,X0))), 0.22/0.46 inference(flattening,[],[f164])). 0.22/0.46 fof(f164,plain,( 0.22/0.46 ! [X0,X1,X2,X3,X4] : (vtcheck(X1,vapp(X2,X3),X4) | (~vtcheck(X1,X2,varrow(X0,X4)) | ~vtcheck(X1,X3,X0)))), 0.22/0.46 inference(ennf_transformation,[],[f98])). 0.22/0.46 fof(f98,plain,( 0.22/0.46 ! [X0,X1,X2,X3,X4] : ((vtcheck(X1,X2,varrow(X0,X4)) & vtcheck(X1,X3,X0)) => vtcheck(X1,vapp(X2,X3),X4))), 0.22/0.46 inference(rectify,[],[f11])). 0.22/0.46 fof(f11,axiom,( 0.22/0.46 ! [X1,X21,X9,X10,X11] : ((vtcheck(X21,X9,varrow(X1,X11)) & vtcheck(X21,X10,X1)) => vtcheck(X21,vapp(X9,X10),X11))), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-app')). 0.22/0.46 fof(f798,plain,( 0.22/0.46 vtcheck(sK16,ve1app,varrow(sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17),sK17)) | ~spl92_10), 0.22/0.46 inference(avatar_component_clause,[],[f797])). 0.22/0.46 fof(f797,plain,( 0.22/0.46 spl92_10 <=> vtcheck(sK16,ve1app,varrow(sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17),sK17))), 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl92_10])])). 0.22/0.46 fof(f699,plain,( 0.22/0.46 vtcheck(sK16,ve2app,sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17)) | ~spl92_7), 0.22/0.46 inference(avatar_component_clause,[],[f698])). 0.22/0.46 fof(f698,plain,( 0.22/0.46 spl92_7 <=> vtcheck(sK16,ve2app,sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17))), 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl92_7])])). 0.22/0.46 fof(f296,plain,( 0.22/0.46 ~vtcheck(sK16,vapp(ve1app,ve2app),sK17)), 0.22/0.46 inference(cnf_transformation,[],[f221])). 0.22/0.46 fof(f811,plain,( 0.22/0.46 ~spl92_9), 0.22/0.46 inference(avatar_contradiction_clause,[],[f806])). 0.22/0.46 fof(f806,plain,( 0.22/0.46 $false | ~spl92_9), 0.22/0.46 inference(unit_resulting_resolution,[],[f294,f795,f492])). 0.22/0.46 fof(f492,plain,( 0.22/0.46 ( ! [X2,X3,X4] : (~visFreeVar(X3,X2) | visFreeVar(X3,vapp(X2,X4))) )), 0.22/0.46 inference(equality_resolution,[],[f491])). 0.22/0.46 fof(f491,plain,( 0.22/0.46 ( ! [X2,X3,X0,X4] : (visFreeVar(X0,vapp(X2,X4)) | ~visFreeVar(X3,X2) | X0 != X3) )), 0.22/0.46 inference(equality_resolution,[],[f417])). 0.22/0.46 fof(f417,plain,( 0.22/0.46 ( ! [X2,X3,X0,X1,X4] : (visFreeVar(X0,X1) | ~visFreeVar(X3,X2) | vapp(X2,X4) != X1 | X0 != X3) )), 0.22/0.46 inference(cnf_transformation,[],[f161])). 0.22/0.46 fof(f795,plain,( 0.22/0.46 visFreeVar(sK14,ve1app) | ~spl92_9), 0.22/0.46 inference(avatar_component_clause,[],[f794])). 0.22/0.46 fof(f794,plain,( 0.22/0.46 spl92_9 <=> visFreeVar(sK14,ve1app)), 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl92_9])])). 0.22/0.46 fof(f799,plain,( 0.22/0.46 spl92_9 | spl92_10 | ~spl92_2), 0.22/0.46 inference(avatar_split_clause,[],[f769,f574,f797,f794])). 0.22/0.46 fof(f574,plain,( 0.22/0.46 spl92_2 <=> sP5(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17)), 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl92_2])])). 0.22/0.46 fof(f769,plain,( 0.22/0.46 vtcheck(sK16,ve1app,varrow(sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17),sK17)) | visFreeVar(sK14,ve1app) | ~spl92_2), 0.22/0.46 inference(resolution,[],[f748,f408])). 0.22/0.46 fof(f408,plain,( 0.22/0.46 ( ! [X2,X3,X0,X1] : (~vtcheck(vbind(X0,X1,X2),ve1app,X3) | vtcheck(X2,ve1app,X3) | visFreeVar(X0,ve1app)) )), 0.22/0.46 inference(cnf_transformation,[],[f150])). 0.22/0.46 fof(f150,plain,( 0.22/0.46 ! [X0,X1,X2,X3] : (vtcheck(X2,ve1app,X3) | ~vtcheck(vbind(X0,X1,X2),ve1app,X3) | visFreeVar(X0,ve1app))), 0.22/0.46 inference(flattening,[],[f149])). 0.22/0.46 fof(f149,plain,( 0.22/0.46 ! [X0,X1,X2,X3] : (vtcheck(X2,ve1app,X3) | (~vtcheck(vbind(X0,X1,X2),ve1app,X3) | visFreeVar(X0,ve1app)))), 0.22/0.46 inference(ennf_transformation,[],[f89])). 0.22/0.46 fof(f89,plain,( 0.22/0.46 ! [X0,X1,X2,X3] : ((vtcheck(vbind(X0,X1,X2),ve1app,X3) & ~visFreeVar(X0,ve1app)) => vtcheck(X2,ve1app,X3))), 0.22/0.46 inference(rectify,[],[f57])). 0.22/0.46 fof(f57,axiom,( 0.22/0.46 ! [X0,X1,X21,X11] : ((vtcheck(vbind(X0,X1,X21),ve1app,X11) & ~visFreeVar(X0,ve1app)) => vtcheck(X21,ve1app,X11))), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app-IH1')). 0.22/0.46 fof(f748,plain,( 0.22/0.46 vtcheck(vbind(sK14,sK15,sK16),ve1app,varrow(sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17),sK17)) | ~spl92_2), 0.22/0.46 inference(superposition,[],[f711,f747])). 0.22/0.46 fof(f747,plain,( 0.22/0.46 ve1app = sK47(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17) | ~spl92_2), 0.22/0.46 inference(equality_resolution,[],[f725])). 0.22/0.46 fof(f725,plain,( 0.22/0.46 ( ! [X6,X5] : (vapp(ve1app,ve2app) != vapp(X5,X6) | sK47(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17) = X5) ) | ~spl92_2), 0.22/0.46 inference(superposition,[],[f370,f713])). 0.22/0.46 fof(f713,plain,( 0.22/0.46 vapp(ve1app,ve2app) = vapp(sK47(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17),sK48(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17)) | ~spl92_2), 0.22/0.46 inference(resolution,[],[f575,f352])). 0.22/0.46 fof(f352,plain,( 0.22/0.46 ( ! [X2,X0,X1] : (~sP5(X0,X1,X2) | vapp(sK47(X0,X1,X2),sK48(X0,X1,X2)) = X0) )), 0.22/0.46 inference(cnf_transformation,[],[f253])). 0.22/0.46 fof(f253,plain,( 0.22/0.46 ! [X0,X1,X2] : ((vapp(sK47(X0,X1,X2),sK48(X0,X1,X2)) = X0 & vtcheck(X1,sK48(X0,X1,X2),sK49(X0,X1,X2)) & vtcheck(X1,sK47(X0,X1,X2),varrow(sK49(X0,X1,X2),X2))) | ~sP5(X0,X1,X2))), 0.22/0.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK47,sK48,sK49])],[f251,f252])). 0.22/0.46 fof(f252,plain,( 0.22/0.46 ! [X0,X1,X2] : (? [X3,X4,X5] : (vapp(X3,X4) = X0 & vtcheck(X1,X4,X5) & vtcheck(X1,X3,varrow(X5,X2))) => (vapp(sK47(X0,X1,X2),sK48(X0,X1,X2)) = X0 & vtcheck(X1,sK48(X0,X1,X2),sK49(X0,X1,X2)) & vtcheck(X1,sK47(X0,X1,X2),varrow(sK49(X0,X1,X2),X2))))), 0.22/0.46 introduced(choice_axiom,[])). 0.22/0.46 fof(f251,plain,( 0.22/0.46 ! [X0,X1,X2] : (? [X3,X4,X5] : (vapp(X3,X4) = X0 & vtcheck(X1,X4,X5) & vtcheck(X1,X3,varrow(X5,X2))) | ~sP5(X0,X1,X2))), 0.22/0.46 inference(rectify,[],[f250])). 0.22/0.46 fof(f250,plain,( 0.22/0.46 ! [X0,X2,X1] : (? [X7,X8,X9] : (vapp(X7,X8) = X0 & vtcheck(X2,X8,X9) & vtcheck(X2,X7,varrow(X9,X1))) | ~sP5(X0,X2,X1))), 0.22/0.46 inference(nnf_transformation,[],[f208])). 0.22/0.46 fof(f208,plain,( 0.22/0.46 ! [X0,X2,X1] : (? [X7,X8,X9] : (vapp(X7,X8) = X0 & vtcheck(X2,X8,X9) & vtcheck(X2,X7,varrow(X9,X1))) | ~sP5(X0,X2,X1))), 0.22/0.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])])). 0.22/0.46 fof(f575,plain,( 0.22/0.46 sP5(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17) | ~spl92_2), 0.22/0.46 inference(avatar_component_clause,[],[f574])). 0.22/0.46 fof(f370,plain,( 0.22/0.46 ( ! [X2,X3,X0,X1] : (vapp(X0,X1) != vapp(X2,X3) | X0 = X2) )), 0.22/0.46 inference(cnf_transformation,[],[f143])). 0.22/0.46 fof(f143,plain,( 0.22/0.46 ! [X0,X1,X2,X3] : ((vapp(X0,X1) = vapp(X2,X3) | X0 != X2 | X1 != X3) & ((X0 = X2 & X1 = X3) | vapp(X0,X1) != vapp(X2,X3)))), 0.22/0.46 inference(flattening,[],[f142])). 0.22/0.46 fof(f142,plain,( 0.22/0.46 ! [X0,X1,X2,X3] : ((vapp(X0,X1) = vapp(X2,X3) | (X0 != X2 | X1 != X3)) & ((X0 = X2 & X1 = X3) | vapp(X0,X1) != vapp(X2,X3)))), 0.22/0.46 inference(ennf_transformation,[],[f86])). 0.22/0.46 fof(f86,plain,( 0.22/0.46 ! [X0,X1,X2,X3] : (((X0 = X2 & X1 = X3) => vapp(X0,X1) = vapp(X2,X3)) & (vapp(X0,X1) = vapp(X2,X3) => (X0 = X2 & X1 = X3)))), 0.22/0.46 inference(rectify,[],[f49])). 0.22/0.46 fof(f49,axiom,( 0.22/0.46 ! [X3,X7,X30,X33] : (((X3 = X30 & X7 = X33) => vapp(X3,X7) = vapp(X30,X33)) & (vapp(X3,X7) = vapp(X30,X33) => (X3 = X30 & X7 = X33)))), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-app')). 0.22/0.46 fof(f711,plain,( 0.22/0.46 vtcheck(vbind(sK14,sK15,sK16),sK47(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17),varrow(sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17),sK17)) | ~spl92_2), 0.22/0.46 inference(resolution,[],[f575,f350])). 0.22/0.46 fof(f350,plain,( 0.22/0.46 ( ! [X2,X0,X1] : (~sP5(X0,X1,X2) | vtcheck(X1,sK47(X0,X1,X2),varrow(sK49(X0,X1,X2),X2))) )), 0.22/0.46 inference(cnf_transformation,[],[f253])). 0.22/0.46 fof(f710,plain,( 0.22/0.46 ~spl92_1), 0.22/0.46 inference(avatar_contradiction_clause,[],[f709])). 0.22/0.46 fof(f709,plain,( 0.22/0.46 $false | ~spl92_1), 0.22/0.46 inference(subsumption_resolution,[],[f705,f413])). 0.22/0.46 fof(f413,plain,( 0.22/0.46 ( ! [X2,X3,X0,X1,X4] : (vabs(X0,X1,X2) != vapp(X3,X4)) )), 0.22/0.46 inference(cnf_transformation,[],[f93])). 0.22/0.46 fof(f93,plain,( 0.22/0.46 ! [X0,X1,X2,X3,X4] : vabs(X0,X1,X2) != vapp(X3,X4)), 0.22/0.46 inference(rectify,[],[f33])). 0.22/0.46 fof(f33,axiom,( 0.22/0.46 ! [X4,X16,X3,X7,X30] : vabs(X4,X16,X3) != vapp(X7,X30)), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-abs-app')). 0.22/0.46 fof(f705,plain,( 0.22/0.46 vapp(ve1app,ve2app) = vabs(sK43(sK17,vbind(sK14,sK15,sK16),vapp(ve1app,ve2app)),sK45(sK17,vbind(sK14,sK15,sK16),vapp(ve1app,ve2app)),sK44(sK17,vbind(sK14,sK15,sK16),vapp(ve1app,ve2app))) | ~spl92_1), 0.22/0.46 inference(resolution,[],[f572,f347])). 0.22/0.46 fof(f347,plain,( 0.22/0.46 ( ! [X2,X0,X1] : (~sP6(X0,X1,X2) | vabs(sK43(X0,X1,X2),sK45(X0,X1,X2),sK44(X0,X1,X2)) = X2) )), 0.22/0.46 inference(cnf_transformation,[],[f249])). 0.22/0.46 fof(f249,plain,( 0.22/0.46 ! [X0,X1,X2] : ((varrow(sK45(X0,X1,X2),sK46(X0,X1,X2)) = X0 & vtcheck(vbind(sK43(X0,X1,X2),sK45(X0,X1,X2),X1),sK44(X0,X1,X2),sK46(X0,X1,X2)) & vabs(sK43(X0,X1,X2),sK45(X0,X1,X2),sK44(X0,X1,X2)) = X2) | ~sP6(X0,X1,X2))), 0.22/0.46 inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44,sK45,sK46])],[f247,f248])). 0.22/0.46 fof(f248,plain,( 0.22/0.46 ! [X0,X1,X2] : (? [X3,X4,X5,X6] : (varrow(X5,X6) = X0 & vtcheck(vbind(X3,X5,X1),X4,X6) & vabs(X3,X5,X4) = X2) => (varrow(sK45(X0,X1,X2),sK46(X0,X1,X2)) = X0 & vtcheck(vbind(sK43(X0,X1,X2),sK45(X0,X1,X2),X1),sK44(X0,X1,X2),sK46(X0,X1,X2)) & vabs(sK43(X0,X1,X2),sK45(X0,X1,X2),sK44(X0,X1,X2)) = X2))), 0.22/0.46 introduced(choice_axiom,[])). 0.22/0.46 fof(f247,plain,( 0.22/0.46 ! [X0,X1,X2] : (? [X3,X4,X5,X6] : (varrow(X5,X6) = X0 & vtcheck(vbind(X3,X5,X1),X4,X6) & vabs(X3,X5,X4) = X2) | ~sP6(X0,X1,X2))), 0.22/0.46 inference(rectify,[],[f246])). 0.22/0.46 fof(f246,plain,( 0.22/0.46 ! [X1,X2,X0] : (? [X3,X4,X5,X6] : (varrow(X5,X6) = X1 & vtcheck(vbind(X3,X5,X2),X4,X6) & vabs(X3,X5,X4) = X0) | ~sP6(X1,X2,X0))), 0.22/0.46 inference(nnf_transformation,[],[f209])). 0.22/0.46 fof(f209,plain,( 0.22/0.46 ! [X1,X2,X0] : (? [X3,X4,X5,X6] : (varrow(X5,X6) = X1 & vtcheck(vbind(X3,X5,X2),X4,X6) & vabs(X3,X5,X4) = X0) | ~sP6(X1,X2,X0))), 0.22/0.46 introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])])). 0.22/0.46 fof(f572,plain,( 0.22/0.46 sP6(sK17,vbind(sK14,sK15,sK16),vapp(ve1app,ve2app)) | ~spl92_1), 0.22/0.46 inference(avatar_component_clause,[],[f571])). 0.22/0.46 fof(f571,plain,( 0.22/0.46 spl92_1 <=> sP6(sK17,vbind(sK14,sK15,sK16),vapp(ve1app,ve2app))), 0.22/0.46 introduced(avatar_definition,[new_symbols(naming,[spl92_1])])). 0.22/0.46 fof(f703,plain,( 0.22/0.46 spl92_7 | spl92_8 | ~spl92_2), 0.22/0.46 inference(avatar_split_clause,[],[f682,f574,f701,f698])). 0.22/0.46 fof(f682,plain,( 0.22/0.46 visFreeVar(sK14,ve2app) | vtcheck(sK16,ve2app,sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17)) | ~spl92_2), 0.22/0.46 inference(resolution,[],[f646,f412])). 0.22/0.46 fof(f412,plain,( 0.22/0.46 ( ! [X2,X3,X0,X1] : (~vtcheck(vbind(X0,X1,X2),ve2app,X3) | visFreeVar(X0,ve2app) | vtcheck(X2,ve2app,X3)) )), 0.22/0.46 inference(cnf_transformation,[],[f156])). 0.22/0.46 fof(f156,plain,( 0.22/0.46 ! [X0,X1,X2,X3] : (vtcheck(X2,ve2app,X3) | visFreeVar(X0,ve2app) | ~vtcheck(vbind(X0,X1,X2),ve2app,X3))), 0.22/0.46 inference(flattening,[],[f155])). 0.22/0.46 fof(f155,plain,( 0.22/0.46 ! [X0,X1,X2,X3] : (vtcheck(X2,ve2app,X3) | (visFreeVar(X0,ve2app) | ~vtcheck(vbind(X0,X1,X2),ve2app,X3)))), 0.22/0.46 inference(ennf_transformation,[],[f92])). 0.22/0.46 fof(f92,plain,( 0.22/0.46 ! [X0,X1,X2,X3] : ((~visFreeVar(X0,ve2app) & vtcheck(vbind(X0,X1,X2),ve2app,X3)) => vtcheck(X2,ve2app,X3))), 0.22/0.46 inference(rectify,[],[f56])). 0.22/0.46 fof(f56,axiom,( 0.22/0.46 ! [X0,X1,X21,X11] : ((~visFreeVar(X0,ve2app) & vtcheck(vbind(X0,X1,X21),ve2app,X11)) => vtcheck(X21,ve2app,X11))), 0.22/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app-IH2')). 0.22/0.46 fof(f646,plain,( 0.22/0.46 vtcheck(vbind(sK14,sK15,sK16),ve2app,sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17)) | ~spl92_2), 0.22/0.46 inference(superposition,[],[f578,f624])). 0.22/0.46 fof(f624,plain,( 0.22/0.46 ve2app = sK48(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17) | ~spl92_2), 0.22/0.46 inference(equality_resolution,[],[f610])). 0.22/0.47 fof(f610,plain,( 0.22/0.47 ( ! [X2,X1] : (vapp(ve1app,ve2app) != vapp(X1,X2) | sK48(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17) = X2) ) | ~spl92_2), 0.22/0.47 inference(superposition,[],[f369,f579])). 0.22/0.47 fof(f579,plain,( 0.22/0.47 vapp(ve1app,ve2app) = vapp(sK47(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17),sK48(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17)) | ~spl92_2), 0.22/0.47 inference(resolution,[],[f575,f352])). 0.22/0.47 fof(f369,plain,( 0.22/0.47 ( ! [X2,X3,X0,X1] : (vapp(X0,X1) != vapp(X2,X3) | X1 = X3) )), 0.22/0.47 inference(cnf_transformation,[],[f143])). 0.22/0.47 fof(f578,plain,( 0.22/0.47 vtcheck(vbind(sK14,sK15,sK16),sK48(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17),sK49(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17)) | ~spl92_2), 0.22/0.47 inference(resolution,[],[f575,f351])). 0.22/0.47 fof(f351,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (~sP5(X0,X1,X2) | vtcheck(X1,sK48(X0,X1,X2),sK49(X0,X1,X2))) )), 0.22/0.47 inference(cnf_transformation,[],[f253])). 0.22/0.47 fof(f576,plain,( 0.22/0.47 spl92_1 | spl92_2), 0.22/0.47 inference(avatar_split_clause,[],[f564,f574,f571])). 0.22/0.47 fof(f564,plain,( 0.22/0.47 sP5(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17) | sP6(sK17,vbind(sK14,sK15,sK16),vapp(ve1app,ve2app))), 0.22/0.47 inference(subsumption_resolution,[],[f563,f343])). 0.22/0.47 fof(f343,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (vvar(X0) != vapp(X1,X2)) )), 0.22/0.47 inference(cnf_transformation,[],[f77])). 0.22/0.47 fof(f77,plain,( 0.22/0.47 ! [X0,X1,X2] : vvar(X0) != vapp(X1,X2)), 0.22/0.47 inference(rectify,[],[f41])). 0.22/0.47 fof(f41,axiom,( 0.22/0.47 ! [X4,X3,X7] : vvar(X4) != vapp(X3,X7)), 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-var-app')). 0.22/0.47 fof(f563,plain,( 0.22/0.47 sP5(vapp(ve1app,ve2app),vbind(sK14,sK15,sK16),sK17) | vapp(ve1app,ve2app) = vvar(sK50(vapp(ve1app,ve2app),sK17,vbind(sK14,sK15,sK16))) | sP6(sK17,vbind(sK14,sK15,sK16),vapp(ve1app,ve2app))), 0.22/0.47 inference(resolution,[],[f295,f354])). 0.22/0.47 fof(f354,plain,( 0.22/0.47 ( ! [X2,X0,X1] : (~vtcheck(X2,X0,X1) | sP5(X0,X2,X1) | vvar(sK50(X0,X1,X2)) = X0 | sP6(X1,X2,X0)) )), 0.22/0.47 inference(cnf_transformation,[],[f256])). 0.22/0.47 fof(f256,plain,( 0.22/0.47 ! [X0,X1,X2] : (sP6(X1,X2,X0) | sP5(X0,X2,X1) | (vvar(sK50(X0,X1,X2)) = X0 & vsomeType(X1) = vlookup(sK50(X0,X1,X2),X2)) | ~vtcheck(X2,X0,X1))), 0.22/0.47 inference(skolemisation,[status(esa),new_symbols(skolem,[sK50])],[f254,f255])). 0.22/0.47 fof(f255,plain,( 0.22/0.47 ! [X0,X1,X2] : (? [X3] : (vvar(X3) = X0 & vsomeType(X1) = vlookup(X3,X2)) => (vvar(sK50(X0,X1,X2)) = X0 & vsomeType(X1) = vlookup(sK50(X0,X1,X2),X2)))), 0.22/0.47 introduced(choice_axiom,[])). 0.22/0.47 fof(f254,plain,( 0.22/0.47 ! [X0,X1,X2] : (sP6(X1,X2,X0) | sP5(X0,X2,X1) | ? [X3] : (vvar(X3) = X0 & vsomeType(X1) = vlookup(X3,X2)) | ~vtcheck(X2,X0,X1))), 0.22/0.47 inference(rectify,[],[f210])). 0.22/0.47 fof(f210,plain,( 0.22/0.47 ! [X0,X1,X2] : (sP6(X1,X2,X0) | sP5(X0,X2,X1) | ? [X10] : (vvar(X10) = X0 & vsomeType(X1) = vlookup(X10,X2)) | ~vtcheck(X2,X0,X1))), 0.22/0.47 inference(definition_folding,[],[f137,f209,f208])). 0.22/0.47 fof(f137,plain,( 0.22/0.47 ! [X0,X1,X2] : (? [X3,X4,X5,X6] : (varrow(X5,X6) = X1 & vtcheck(vbind(X3,X5,X2),X4,X6) & vabs(X3,X5,X4) = X0) | ? [X7,X8,X9] : (vapp(X7,X8) = X0 & vtcheck(X2,X8,X9) & vtcheck(X2,X7,varrow(X9,X1))) | ? [X10] : (vvar(X10) = X0 & vsomeType(X1) = vlookup(X10,X2)) | ~vtcheck(X2,X0,X1))), 0.22/0.47 inference(flattening,[],[f136])). 0.22/0.47 fof(f136,plain,( 0.22/0.47 ! [X0,X1,X2] : ((? [X3,X4,X5,X6] : (varrow(X5,X6) = X1 & vtcheck(vbind(X3,X5,X2),X4,X6) & vabs(X3,X5,X4) = X0) | ? [X7,X8,X9] : (vapp(X7,X8) = X0 & vtcheck(X2,X8,X9) & vtcheck(X2,X7,varrow(X9,X1))) | ? [X10] : (vvar(X10) = X0 & vsomeType(X1) = vlookup(X10,X2))) | ~vtcheck(X2,X0,X1))), 0.22/0.47 inference(ennf_transformation,[],[f81])). 0.22/0.47 fof(f81,plain,( 0.22/0.47 ! [X0,X1,X2] : (vtcheck(X2,X0,X1) => (? [X3,X4,X5,X6] : (varrow(X5,X6) = X1 & vtcheck(vbind(X3,X5,X2),X4,X6) & vabs(X3,X5,X4) = X0) | ? [X7,X8,X9] : (vapp(X7,X8) = X0 & vtcheck(X2,X8,X9) & vtcheck(X2,X7,varrow(X9,X1))) | ? [X10] : (vvar(X10) = X0 & vsomeType(X1) = vlookup(X10,X2))))), 0.22/0.47 inference(rectify,[],[f44])). 0.22/0.47 fof(f44,axiom,( 0.22/0.47 ! [X2,X11,X21] : (vtcheck(X21,X2,X11) => (? [X0,X10,X31,X32] : (varrow(X31,X32) = X11 & vtcheck(vbind(X0,X31,X21),X10,X32) & vabs(X0,X31,X10) = X2) | ? [X9,X10,X1] : (vapp(X9,X10) = X2 & vtcheck(X21,X10,X1) & vtcheck(X21,X9,varrow(X1,X11))) | ? [X0] : (vvar(X0) = X2 & vsomeType(X11) = vlookup(X0,X21))))), 0.22/0.47 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-inv')). 0.22/0.47 fof(f295,plain,( 0.22/0.47 vtcheck(vbind(sK14,sK15,sK16),vapp(ve1app,ve2app),sK17)), 0.22/0.47 inference(cnf_transformation,[],[f221])). 0.22/0.47 % SZS output end Proof for theBenchmark 0.22/0.47 % (13882)------------------------------ 0.22/0.47 % (13882)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.22/0.47 % (13882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.22/0.47 % (13882)Termination reason: Refutation 0.22/0.47 0.22/0.47 % (13882)Memory used [KB]: 11769 0.22/0.47 % (13882)Time elapsed: 0.050 s 0.22/0.47 % (13882)------------------------------ 0.22/0.47 % (13882)------------------------------ 0.22/0.47 % (13871)Success in time 0.105 s 0.22/0.47 EOF