0.10/0.10 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.10/0.11 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s 0.10/0.31 % Computer : n006.cluster.edu 0.10/0.31 % Model : x86_64 x86_64 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.10/0.31 % Memory : 8042.1875MB 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64 0.10/0.31 % CPULimit : 960 0.10/0.32 % WCLimit : 120 0.10/0.32 % DateTime : Tue Aug 9 04:54:44 EDT 2022 0.10/0.32 % CPUTime : 0.10/0.32 This is a FOF_ problem 0.10/0.32 Running vampire --ignore_missing on --mode casc -t 960 /export/starexec/sandbox2/benchmark/theBenchmark.p 0.10/0.33 % (26682)Running in auto input_syntax mode. Trying TPTP 0.10/0.38 WARNING Broken Constraint: if sat_solver(z3) has been set then avatar(off) is equal to on 0.10/0.38 % (26685)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 0.10/0.38 % (26683)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 0.10/0.38 % (26684)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 0.10/0.38 % (26686)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 0.10/0.39 % (26690)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 0.10/0.39 % (26687)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 0.10/0.39 % (26684)Refutation not found, incomplete strategy% (26684)------------------------------ 0.10/0.39 % (26684)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.10/0.39 % (26684)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.10/0.39 % (26684)Termination reason: Refutation not found, incomplete strategy 0.10/0.39 0.10/0.39 % (26684)Memory used [KB]: 11385 0.10/0.39 % (26684)Time elapsed: 0.009 s 0.10/0.39 % (26684)------------------------------ 0.10/0.39 % (26684)------------------------------ 0.16/0.42 % (26688)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 0.16/0.43 % (26689)ott+1002_2_av=off:bd=preordered:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_22 on theBenchmark 0.16/0.45 % (26691)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_4 on theBenchmark 0.16/0.50 % (26685)First to succeed. 0.16/0.50 % (26685)Refutation found. Thanks to Tanya! 0.16/0.50 % SZS status Theorem for theBenchmark 0.16/0.50 % SZS output start Proof for theBenchmark 0.16/0.50 fof(f2764,plain,( 0.16/0.50 $false), 0.16/0.50 inference(subsumption_resolution,[],[f2763,f304])). 0.16/0.50 fof(f304,plain,( 0.16/0.50 ( ! [X0] : (vnoType != vsomeType(X0)) )), 0.16/0.50 inference(cnf_transformation,[],[f71])). 0.16/0.50 fof(f71,plain,( 0.16/0.50 ! [X0] : vnoType != vsomeType(X0)), 0.16/0.50 inference(rectify,[],[f54])). 0.16/0.50 fof(f54,axiom,( 0.16/0.50 ! [X16] : vnoType != vsomeType(X16)), 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-noType-someType')). 0.16/0.50 fof(f2763,plain,( 0.16/0.50 vnoType = vsomeType(sK13)), 0.16/0.50 inference(forward_demodulation,[],[f2737,f251])). 0.16/0.50 fof(f251,plain,( 0.16/0.50 vnoType = vlookup(sK9,sK11)), 0.16/0.50 inference(cnf_transformation,[],[f193])). 0.16/0.50 fof(f193,plain,( 0.16/0.50 ~vtcheck(vbind(sK9,sK10,sK11),vvar(sK12),sK13) & vnoType = vlookup(sK9,sK11) & vtcheck(sK11,vvar(sK12),sK13)), 0.16/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK9,sK10,sK11,sK12,sK13])],[f108,f192])). 0.16/0.50 fof(f192,plain,( 0.16/0.50 ? [X0,X1,X2,X3,X4] : (~vtcheck(vbind(X0,X1,X2),vvar(X3),X4) & vnoType = vlookup(X0,X2) & vtcheck(X2,vvar(X3),X4)) => (~vtcheck(vbind(sK9,sK10,sK11),vvar(sK12),sK13) & vnoType = vlookup(sK9,sK11) & vtcheck(sK11,vvar(sK12),sK13))), 0.16/0.50 introduced(choice_axiom,[])). 0.16/0.50 fof(f108,plain,( 0.16/0.50 ? [X0,X1,X2,X3,X4] : (~vtcheck(vbind(X0,X1,X2),vvar(X3),X4) & vnoType = vlookup(X0,X2) & vtcheck(X2,vvar(X3),X4))), 0.16/0.50 inference(flattening,[],[f107])). 0.16/0.50 fof(f107,plain,( 0.16/0.50 ? [X0,X1,X2,X3,X4] : (~vtcheck(vbind(X0,X1,X2),vvar(X3),X4) & (vnoType = vlookup(X0,X2) & vtcheck(X2,vvar(X3),X4)))), 0.16/0.50 inference(ennf_transformation,[],[f57])). 0.16/0.50 fof(f57,plain,( 0.16/0.50 ~! [X0,X1,X2,X3,X4] : ((vnoType = vlookup(X0,X2) & vtcheck(X2,vvar(X3),X4)) => vtcheck(vbind(X0,X1,X2),vvar(X3),X4))), 0.16/0.50 inference(rectify,[],[f56])). 0.16/0.50 fof(f56,negated_conjecture,( 0.16/0.50 ~! [X0,X1,X21,X8,X11] : ((vnoType = vlookup(X0,X21) & vtcheck(X21,vvar(X8),X11)) => vtcheck(vbind(X0,X1,X21),vvar(X8),X11))), 0.16/0.50 inference(negated_conjecture,[],[f55])). 0.16/0.50 fof(f55,conjecture,( 0.16/0.50 ! [X0,X1,X21,X8,X11] : ((vnoType = vlookup(X0,X21) & vtcheck(X21,vvar(X8),X11)) => vtcheck(vbind(X0,X1,X21),vvar(X8),X11))), 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-Weak-var')). 0.16/0.50 fof(f2737,plain,( 0.16/0.50 vlookup(sK9,sK11) = vsomeType(sK13)), 0.16/0.50 inference(superposition,[],[f2585,f2586])). 0.16/0.50 fof(f2586,plain,( 0.16/0.50 sK9 = sK12), 0.16/0.50 inference(unit_resulting_resolution,[],[f2585,f1576])). 0.16/0.50 fof(f1576,plain,( 0.16/0.50 vsomeType(sK13) != vlookup(sK12,sK11) | sK9 = sK12), 0.16/0.50 inference(superposition,[],[f766,f435])). 0.16/0.50 fof(f435,plain,( 0.16/0.50 ( ! [X0,X1,X6,X5] : (vlookup(X5,X6) = vlookup(X5,vbind(X1,X0,X6)) | X1 = X5) )), 0.16/0.50 inference(equality_resolution,[],[f434])). 0.16/0.50 fof(f434,plain,( 0.16/0.50 ( ! [X3,X0,X1,X6,X5] : (vlookup(X5,X6) = vlookup(X5,X3) | X1 = X5 | vbind(X1,X0,X6) != X3) )), 0.16/0.50 inference(equality_resolution,[],[f433])). 0.16/0.50 fof(f433,plain,( 0.16/0.50 ( ! [X2,X3,X0,X1,X6,X5] : (vlookup(X2,X3) = vlookup(X5,X6) | X1 = X5 | X2 != X5 | vbind(X1,X0,X6) != X3) )), 0.16/0.50 inference(equality_resolution,[],[f254])). 0.16/0.50 fof(f254,plain,( 0.16/0.50 ( ! [X2,X3,X0,X1,X6,X4,X5] : (vlookup(X5,X6) = X4 | vlookup(X2,X3) != X4 | X1 = X5 | X2 != X5 | vbind(X1,X0,X6) != X3) )), 0.16/0.50 inference(cnf_transformation,[],[f112])). 0.16/0.50 fof(f112,plain,( 0.16/0.50 ! [X0,X1,X2,X3,X4,X5,X6] : (vlookup(X5,X6) = X4 | vlookup(X2,X3) != X4 | X1 = X5 | X2 != X5 | vbind(X1,X0,X6) != X3)), 0.16/0.50 inference(flattening,[],[f111])). 0.16/0.50 fof(f111,plain,( 0.16/0.50 ! [X0,X1,X2,X3,X4,X5,X6] : (((vlookup(X5,X6) = X4 | vlookup(X2,X3) != X4) | X1 = X5) | (X2 != X5 | vbind(X1,X0,X6) != X3))), 0.16/0.50 inference(ennf_transformation,[],[f59])). 0.16/0.50 fof(f59,plain,( 0.16/0.50 ! [X0,X1,X2,X3,X4,X5,X6] : ((X2 = X5 & vbind(X1,X0,X6) = X3) => (X1 != X5 => (vlookup(X2,X3) = X4 => vlookup(X5,X6) = X4)))), 0.16/0.50 inference(rectify,[],[f25])). 0.16/0.50 fof(f25,axiom,( 0.16/0.50 ! [X28,X8,X4,X5,X6,X0,X21] : ((X0 = X4 & vbind(X8,X28,X21) = X5) => (X0 != X8 => (vlookup(X4,X5) = X6 => vlookup(X0,X21) = X6)))), 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lookup2)). 0.16/0.50 fof(f766,plain,( 0.16/0.50 vsomeType(sK13) != vlookup(sK12,vbind(sK9,sK10,sK11))), 0.16/0.50 inference(unit_resulting_resolution,[],[f252,f302])). 0.16/0.50 fof(f302,plain,( 0.16/0.50 ( ! [X2,X0,X1] : (vsomeType(X2) != vlookup(X1,X0) | vtcheck(X0,vvar(X1),X2)) )), 0.16/0.50 inference(cnf_transformation,[],[f128])). 0.16/0.50 fof(f128,plain,( 0.16/0.50 ! [X0,X1,X2] : (vtcheck(X0,vvar(X1),X2) | vsomeType(X2) != vlookup(X1,X0))), 0.16/0.50 inference(ennf_transformation,[],[f69])). 0.16/0.50 fof(f69,plain,( 0.16/0.50 ! [X0,X1,X2] : (vsomeType(X2) = vlookup(X1,X0) => vtcheck(X0,vvar(X1),X2))), 0.16/0.50 inference(rectify,[],[f13])). 0.16/0.50 fof(f13,axiom,( 0.16/0.50 ! [X21,X0,X11] : (vsomeType(X11) = vlookup(X0,X21) => vtcheck(X21,vvar(X0),X11))), 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-var')). 0.16/0.50 fof(f252,plain,( 0.16/0.50 ~vtcheck(vbind(sK9,sK10,sK11),vvar(sK12),sK13)), 0.16/0.50 inference(cnf_transformation,[],[f193])). 0.16/0.50 fof(f2585,plain,( 0.16/0.50 vsomeType(sK13) = vlookup(sK12,sK11)), 0.16/0.50 inference(forward_demodulation,[],[f2563,f2364])). 0.16/0.50 fof(f2364,plain,( 0.16/0.50 sK12 = sK30(vvar(sK12),sK13,sK11)), 0.16/0.50 inference(unit_resulting_resolution,[],[f2340,f316])). 0.16/0.50 fof(f316,plain,( 0.16/0.50 ( ! [X0,X1] : (vvar(X0) != vvar(X1) | X0 = X1) )), 0.16/0.50 inference(cnf_transformation,[],[f141])). 0.16/0.50 fof(f141,plain,( 0.16/0.50 ! [X0,X1] : ((X0 = X1 | vvar(X0) != vvar(X1)) & (vvar(X0) = vvar(X1) | X0 != X1))), 0.16/0.50 inference(ennf_transformation,[],[f81])). 0.16/0.50 fof(f81,plain,( 0.16/0.50 ! [X0,X1] : ((vvar(X0) = vvar(X1) => X0 = X1) & (X0 = X1 => vvar(X0) = vvar(X1)))), 0.16/0.50 inference(rectify,[],[f34])). 0.16/0.50 fof(f34,axiom,( 0.16/0.50 ! [X4,X15] : ((vvar(X4) = vvar(X15) => X4 = X15) & (X4 = X15 => vvar(X4) = vvar(X15)))), 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','EQ-var')). 0.16/0.50 fof(f2340,plain,( 0.16/0.50 vvar(sK12) = vvar(sK30(vvar(sK12),sK13,sK11))), 0.16/0.50 inference(unit_resulting_resolution,[],[f250,f313,f311,f283])). 0.16/0.50 fof(f283,plain,( 0.16/0.50 ( ! [X2,X0,X1] : (vabs(sK23(X0,X1,X2),sK25(X0,X1,X2),sK24(X0,X1,X2)) = X0 | vapp(sK27(X0,X1,X2),sK28(X0,X1,X2)) = X0 | vvar(sK30(X0,X1,X2)) = X0 | ~vtcheck(X2,X0,X1)) )), 0.16/0.50 inference(cnf_transformation,[],[f204])). 0.16/0.50 fof(f204,plain,( 0.16/0.50 ! [X0,X1,X2] : ((varrow(sK25(X0,X1,X2),sK26(X0,X1,X2)) = X1 & vtcheck(vbind(sK23(X0,X1,X2),sK25(X0,X1,X2),X2),sK24(X0,X1,X2),sK26(X0,X1,X2)) & vabs(sK23(X0,X1,X2),sK25(X0,X1,X2),sK24(X0,X1,X2)) = X0) | (vapp(sK27(X0,X1,X2),sK28(X0,X1,X2)) = X0 & vtcheck(X2,sK28(X0,X1,X2),sK29(X0,X1,X2)) & vtcheck(X2,sK27(X0,X1,X2),varrow(sK29(X0,X1,X2),X1))) | (vvar(sK30(X0,X1,X2)) = X0 & vsomeType(X1) = vlookup(sK30(X0,X1,X2),X2)) | ~vtcheck(X2,X0,X1))), 0.16/0.50 inference(skolemisation,[status(esa),new_symbols(skolem,[sK23,sK24,sK25,sK26,sK27,sK28,sK29,sK30])],[f123,f203,f202,f201])). 0.16/0.50 fof(f201,plain,( 0.16/0.50 ! [X0,X1,X2] : (? [X3,X4,X5,X6] : (varrow(X5,X6) = X1 & vtcheck(vbind(X3,X5,X2),X4,X6) & vabs(X3,X5,X4) = X0) => (varrow(sK25(X0,X1,X2),sK26(X0,X1,X2)) = X1 & vtcheck(vbind(sK23(X0,X1,X2),sK25(X0,X1,X2),X2),sK24(X0,X1,X2),sK26(X0,X1,X2)) & vabs(sK23(X0,X1,X2),sK25(X0,X1,X2),sK24(X0,X1,X2)) = X0))), 0.16/0.50 introduced(choice_axiom,[])). 0.16/0.50 fof(f202,plain,( 0.16/0.50 ! [X0,X1,X2] : (? [X7,X8,X9] : (vapp(X7,X8) = X0 & vtcheck(X2,X8,X9) & vtcheck(X2,X7,varrow(X9,X1))) => (vapp(sK27(X0,X1,X2),sK28(X0,X1,X2)) = X0 & vtcheck(X2,sK28(X0,X1,X2),sK29(X0,X1,X2)) & vtcheck(X2,sK27(X0,X1,X2),varrow(sK29(X0,X1,X2),X1))))), 0.16/0.50 introduced(choice_axiom,[])). 0.16/0.50 fof(f203,plain,( 0.16/0.50 ! [X0,X1,X2] : (? [X10] : (vvar(X10) = X0 & vsomeType(X1) = vlookup(X10,X2)) => (vvar(sK30(X0,X1,X2)) = X0 & vsomeType(X1) = vlookup(sK30(X0,X1,X2),X2)))), 0.16/0.50 introduced(choice_axiom,[])). 0.16/0.50 fof(f123,plain,( 0.16/0.50 ! [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))), 0.16/0.50 inference(flattening,[],[f122])). 0.16/0.50 fof(f122,plain,( 0.16/0.50 ! [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))), 0.16/0.50 inference(ennf_transformation,[],[f65])). 0.16/0.50 fof(f65,plain,( 0.16/0.50 ! [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))))), 0.16/0.50 inference(rectify,[],[f44])). 0.16/0.50 fof(f44,axiom,( 0.16/0.50 ! [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))))), 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-inv')). 0.16/0.50 fof(f311,plain,( 0.16/0.50 ( ! [X2,X3,X0,X1] : (vvar(X0) != vabs(X1,X2,X3)) )), 0.16/0.50 inference(cnf_transformation,[],[f77])). 0.16/0.50 fof(f77,plain,( 0.16/0.50 ! [X0,X1,X2,X3] : vvar(X0) != vabs(X1,X2,X3)), 0.16/0.50 inference(rectify,[],[f8])). 0.16/0.50 fof(f8,axiom,( 0.16/0.50 ! [X4,X15,X16,X3] : vvar(X4) != vabs(X15,X16,X3)), 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-abs')). 0.16/0.50 fof(f313,plain,( 0.16/0.50 ( ! [X2,X0,X1] : (vvar(X0) != vapp(X1,X2)) )), 0.16/0.50 inference(cnf_transformation,[],[f79])). 0.16/0.50 fof(f79,plain,( 0.16/0.50 ! [X0,X1,X2] : vvar(X0) != vapp(X1,X2)), 0.16/0.50 inference(rectify,[],[f41])). 0.16/0.50 fof(f41,axiom,( 0.16/0.50 ! [X4,X3,X7] : vvar(X4) != vapp(X3,X7)), 0.16/0.50 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','DIFF-var-app')). 0.16/0.50 fof(f250,plain,( 0.16/0.50 vtcheck(sK11,vvar(sK12),sK13)), 0.16/0.50 inference(cnf_transformation,[],[f193])). 0.16/0.50 fof(f2563,plain,( 0.16/0.50 vsomeType(sK13) = vlookup(sK30(vvar(sK12),sK13,sK11),sK11)), 0.16/0.50 inference(unit_resulting_resolution,[],[f250,f313,f311,f282])). 0.16/0.50 fof(f282,plain,( 0.16/0.50 ( ! [X2,X0,X1] : (vabs(sK23(X0,X1,X2),sK25(X0,X1,X2),sK24(X0,X1,X2)) = X0 | vapp(sK27(X0,X1,X2),sK28(X0,X1,X2)) = X0 | vsomeType(X1) = vlookup(sK30(X0,X1,X2),X2) | ~vtcheck(X2,X0,X1)) )), 0.16/0.50 inference(cnf_transformation,[],[f204])). 0.16/0.50 % SZS output end Proof for theBenchmark 0.16/0.50 % (26685)------------------------------ 0.16/0.50 % (26685)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200) 0.16/0.50 % (26685)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0 0.16/0.50 % (26685)Termination reason: Refutation 0.16/0.50 0.16/0.50 % (26685)Memory used [KB]: 4989 0.16/0.50 % (26685)Time elapsed: 0.114 s 0.16/0.50 % (26685)------------------------------ 0.16/0.50 % (26685)------------------------------ 0.16/0.50 % (26682)Success in time 0.171 s 0.16/0.50 EOF