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 0.02/0.23 % Computer : n146.star.cs.uiowa.edu 0.02/0.23 % Model : x86_64 x86_64 0.02/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.02/0.23 % Memory : 32218.625MB 0.02/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.02/0.23 % CPULimit : 300 0.02/0.23 % DateTime : Sat Jul 14 05:42:40 CDT 2018 0.02/0.24 % CPUTime : 0.02/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.02/0.24 % remaining time: 5999 next slice time: 4 0.02/0.27 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 0.51/0.77 % (15261)Time limit reached! 0.51/0.77 % ------------------------------ 0.51/0.77 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.51/0.77 % Termination reason: Time limit 0.51/0.77 % Termination phase: Saturation 0.51/0.77 0.51/0.77 % Memory used [KB]: 10874 0.51/0.77 % Time elapsed: 0.500 s 0.51/0.77 % ------------------------------ 0.51/0.77 % ------------------------------ 0.51/0.77 % remaining time: 5994 next slice time: 10 0.59/0.78 ott+11_8_amm=off:anc=none:bsr=on:cond=on:irw=on:nm=2:nwc=1.1:ss=axioms:st=2.0:sac=on_8 on theBenchmark 1.61/1.87 % (15262)Time limit reached! 1.61/1.87 % ------------------------------ 1.61/1.87 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.61/1.87 % Termination reason: Time limit 1.61/1.87 % Termination phase: Saturation 1.61/1.87 1.61/1.87 % Memory used [KB]: 45926 1.61/1.87 % Time elapsed: 1.100 s 1.61/1.87 % ------------------------------ 1.61/1.87 % ------------------------------ 1.68/1.88 % remaining time: 5983 next slice time: 4 1.68/1.88 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 2.00/2.24 % Refutation found. Thanks to Tanya! 2.00/2.24 % SZS status Theorem for theBenchmark 2.00/2.24 % SZS output start Proof for theBenchmark 2.00/2.24 fof(f17,axiom,( 2.00/2.24 ! [X7,X8,X21,X22] : (((X7 = X21 & X8 = X22) => vapp(X7,X8) = vapp(X21,X22)) & (vapp(X7,X8) = vapp(X21,X22) => (X8 = X22 & X7 = X21)))), 2.00/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-app')). 2.00/2.24 fof(f21,axiom,( 2.00/2.24 ! [X2,X7,X8] : vapp(X7,X8) != vvar(X2)), 2.00/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-var-app')). 2.00/2.24 fof(f32,axiom,( 2.00/2.24 ! [X5,X29,X9,X7] : (vabs(X5,X29,X9) = X7 => visValue(X7))), 2.00/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',isValue0)). 2.00/2.24 fof(f42,axiom,( 2.00/2.24 ! [X9,X10,X6] : (vtcheck(X6,X9,X10) => (? [X5,X20,X31,X32] : (vabs(X5,X31,X20) = X9 & varrow(X31,X32) = X10 & vtcheck(vbind(X5,X31,X6),X20,X32)) | ? [X12,X20,X29] : (vapp(X12,X20) = X9 & vtcheck(X6,X20,X29) & vtcheck(X6,X12,varrow(X29,X10))) | ? [X5] : (vlookup(X5,X6) = vsomeType(X10) & vvar(X5) = X9)))), 2.00/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-inv')). 2.00/2.24 fof(f49,axiom,( 2.00/2.24 ! [X12,X20,X7] : (vapp(X12,X20) = X7 => ~visValue(X7))), 2.00/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p',isValue2)). 2.00/2.24 fof(f53,axiom,( 2.00/2.24 ! [X29,X6,X12,X20,X10] : ((vtcheck(X6,X12,varrow(X29,X10)) & vtcheck(X6,X20,X29)) => vtcheck(X6,vapp(X12,X20),X10))), 2.00/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-app')). 2.00/2.24 fof(f55,axiom,( 2.00/2.24 ! [X5,X29,X6,X10] : ((vtcheck(X6,ve2app,X10) & vlookup(X5,X6) = vnoType) => vtcheck(vbind(X5,X29,X6),ve2app,X10))), 2.00/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app-IH2')). 2.00/2.24 fof(f56,axiom,( 2.00/2.24 ! [X5,X29,X6,X10] : ((vlookup(X5,X6) = vnoType & vtcheck(X6,ve1app,X10)) => vtcheck(vbind(X5,X29,X6),ve1app,X10))), 2.00/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app-IH1')). 2.00/2.24 fof(f57,conjecture,( 2.00/2.24 ! [X5,X29,X6,X10] : ((vtcheck(X6,vapp(ve1app,ve2app),X10) & vlookup(X5,X6) = vnoType) => vtcheck(vbind(X5,X29,X6),vapp(ve1app,ve2app),X10))), 2.00/2.24 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Weak-app')). 2.00/2.24 fof(f58,negated_conjecture,( 2.00/2.24 ~! [X5,X29,X6,X10] : ((vtcheck(X6,vapp(ve1app,ve2app),X10) & vlookup(X5,X6) = vnoType) => vtcheck(vbind(X5,X29,X6),vapp(ve1app,ve2app),X10))), 2.00/2.24 inference(negated_conjecture,[],[f57])). 2.00/2.24 fof(f59,plain,( 2.00/2.24 ~! [X0,X1,X2,X3] : ((vtcheck(X2,vapp(ve1app,ve2app),X3) & vlookup(X0,X2) = vnoType) => vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3))), 2.00/2.24 inference(rectify,[],[f58])). 2.00/2.24 fof(f73,plain,( 2.00/2.24 ! [X0,X1,X2] : vapp(X1,X2) != vvar(X0)), 2.00/2.24 inference(rectify,[],[f21])). 2.00/2.24 fof(f77,plain,( 2.00/2.24 ! [X0,X1,X2] : (vtcheck(X2,X0,X1) => (? [X3,X4,X5,X6] : (vabs(X3,X5,X4) = X0 & varrow(X5,X6) = X1 & vtcheck(vbind(X3,X5,X2),X4,X6)) | ? [X7,X8,X9] : (vapp(X7,X8) = X0 & vtcheck(X2,X8,X9) & vtcheck(X2,X7,varrow(X9,X1))) | ? [X10] : (vlookup(X10,X2) = vsomeType(X1) & vvar(X10) = X0)))), 2.00/2.24 inference(rectify,[],[f42])). 2.00/2.24 fof(f78,plain,( 2.00/2.24 ! [X0,X1,X2] : (vapp(X0,X1) = X2 => ~visValue(X2))), 2.00/2.24 inference(rectify,[],[f49])). 2.00/2.24 fof(f82,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : (((X0 = X2 & X1 = X3) => vapp(X0,X1) = vapp(X2,X3)) & (vapp(X0,X1) = vapp(X2,X3) => (X1 = X3 & X0 = X2)))), 2.00/2.24 inference(rectify,[],[f17])). 2.00/2.24 fof(f84,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : (vabs(X0,X1,X2) = X3 => visValue(X3))), 2.00/2.24 inference(rectify,[],[f32])). 2.00/2.24 fof(f88,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : ((vlookup(X0,X2) = vnoType & vtcheck(X2,ve1app,X3)) => vtcheck(vbind(X0,X1,X2),ve1app,X3))), 2.00/2.24 inference(rectify,[],[f56])). 2.00/2.24 fof(f89,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : ((vtcheck(X2,ve2app,X3) & vlookup(X0,X2) = vnoType) => vtcheck(vbind(X0,X1,X2),ve2app,X3))), 2.00/2.24 inference(rectify,[],[f55])). 2.00/2.24 fof(f94,plain,( 2.00/2.24 ! [X0,X1,X2,X3,X4] : ((vtcheck(X1,X2,varrow(X0,X4)) & vtcheck(X1,X3,X0)) => vtcheck(X1,vapp(X2,X3),X4))), 2.00/2.24 inference(rectify,[],[f53])). 2.00/2.24 fof(f112,plain,( 2.00/2.24 ? [X0,X1,X2,X3] : (~vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) & (vtcheck(X2,vapp(ve1app,ve2app),X3) & vlookup(X0,X2) = vnoType))), 2.00/2.24 inference(ennf_transformation,[],[f59])). 2.00/2.24 fof(f113,plain,( 2.00/2.24 ? [X0,X1,X2,X3] : (~vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3) & vtcheck(X2,vapp(ve1app,ve2app),X3) & vlookup(X0,X2) = vnoType)), 2.00/2.24 inference(flattening,[],[f112])). 2.00/2.24 fof(f134,plain,( 2.00/2.24 ! [X0,X1,X2] : ((? [X3,X4,X5,X6] : (vabs(X3,X5,X4) = X0 & varrow(X5,X6) = X1 & vtcheck(vbind(X3,X5,X2),X4,X6)) | ? [X7,X8,X9] : (vapp(X7,X8) = X0 & vtcheck(X2,X8,X9) & vtcheck(X2,X7,varrow(X9,X1))) | ? [X10] : (vlookup(X10,X2) = vsomeType(X1) & vvar(X10) = X0)) | ~vtcheck(X2,X0,X1))), 2.00/2.24 inference(ennf_transformation,[],[f77])). 2.00/2.24 fof(f135,plain,( 2.00/2.24 ! [X0,X1,X2] : (? [X3,X4,X5,X6] : (vabs(X3,X5,X4) = X0 & varrow(X5,X6) = X1 & vtcheck(vbind(X3,X5,X2),X4,X6)) | ? [X7,X8,X9] : (vapp(X7,X8) = X0 & vtcheck(X2,X8,X9) & vtcheck(X2,X7,varrow(X9,X1))) | ? [X10] : (vlookup(X10,X2) = vsomeType(X1) & vvar(X10) = X0) | ~vtcheck(X2,X0,X1))), 2.00/2.24 inference(flattening,[],[f134])). 2.00/2.24 fof(f136,plain,( 2.00/2.24 ! [X0,X1,X2] : (~visValue(X2) | vapp(X0,X1) != X2)), 2.00/2.24 inference(ennf_transformation,[],[f78])). 2.00/2.24 fof(f140,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : ((vapp(X0,X1) = vapp(X2,X3) | (X0 != X2 | X1 != X3)) & ((X1 = X3 & X0 = X2) | vapp(X0,X1) != vapp(X2,X3)))), 2.00/2.24 inference(ennf_transformation,[],[f82])). 2.00/2.24 fof(f141,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : ((vapp(X0,X1) = vapp(X2,X3) | X0 != X2 | X1 != X3) & ((X1 = X3 & X0 = X2) | vapp(X0,X1) != vapp(X2,X3)))), 2.00/2.24 inference(flattening,[],[f140])). 2.00/2.24 fof(f144,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : (visValue(X3) | vabs(X0,X1,X2) != X3)), 2.00/2.24 inference(ennf_transformation,[],[f84])). 2.00/2.24 fof(f151,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : (vtcheck(vbind(X0,X1,X2),ve1app,X3) | (vlookup(X0,X2) != vnoType | ~vtcheck(X2,ve1app,X3)))), 2.00/2.24 inference(ennf_transformation,[],[f88])). 2.00/2.24 fof(f152,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : (vtcheck(vbind(X0,X1,X2),ve1app,X3) | vlookup(X0,X2) != vnoType | ~vtcheck(X2,ve1app,X3))), 2.00/2.24 inference(flattening,[],[f151])). 2.00/2.24 fof(f153,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : (vtcheck(vbind(X0,X1,X2),ve2app,X3) | (~vtcheck(X2,ve2app,X3) | vlookup(X0,X2) != vnoType))), 2.00/2.24 inference(ennf_transformation,[],[f89])). 2.00/2.24 fof(f154,plain,( 2.00/2.24 ! [X0,X1,X2,X3] : (vtcheck(vbind(X0,X1,X2),ve2app,X3) | ~vtcheck(X2,ve2app,X3) | vlookup(X0,X2) != vnoType)), 2.00/2.24 inference(flattening,[],[f153])). 2.00/2.24 fof(f160,plain,( 2.00/2.24 ! [X0,X1,X2,X3,X4] : (vtcheck(X1,vapp(X2,X3),X4) | (~vtcheck(X1,X2,varrow(X0,X4)) | ~vtcheck(X1,X3,X0)))), 2.00/2.24 inference(ennf_transformation,[],[f94])). 2.00/2.24 fof(f161,plain,( 2.00/2.24 ! [X0,X1,X2,X3,X4] : (vtcheck(X1,vapp(X2,X3),X4) | ~vtcheck(X1,X2,varrow(X0,X4)) | ~vtcheck(X1,X3,X0))), 2.00/2.24 inference(flattening,[],[f160])). 2.00/2.24 fof(f198,plain,( 2.00/2.24 vlookup(sK0,sK2) = vnoType), 2.00/2.24 inference(cnf_transformation,[],[f113])). 2.00/2.24 fof(f199,plain,( 2.00/2.24 vtcheck(sK2,vapp(ve1app,ve2app),sK3)), 2.00/2.24 inference(cnf_transformation,[],[f113])). 2.00/2.24 fof(f200,plain,( 2.00/2.24 ~vtcheck(vbind(sK0,sK1,sK2),vapp(ve1app,ve2app),sK3)), 2.00/2.24 inference(cnf_transformation,[],[f113])). 2.00/2.24 fof(f249,plain,( 2.00/2.24 ( ! [X2,X0,X1] : (vapp(X1,X2) != vvar(X0)) )), 2.00/2.24 inference(cnf_transformation,[],[f73])). 2.00/2.24 fof(f255,plain,( 2.00/2.24 ( ! [X2,X0,X1] : (~vtcheck(X2,X0,X1) | vvar(sK34(X0,X1,X2)) = X0 | vapp(sK35(X0,X1,X2),sK36(X0,X1,X2)) = X0 | vabs(sK38(X0,X1,X2),sK40(X0,X1,X2),sK39(X0,X1,X2)) = X0) )), 2.00/2.24 inference(cnf_transformation,[],[f135])). 2.00/2.24 fof(f258,plain,( 2.00/2.24 ( ! [X2,X0,X1] : (vtcheck(X2,sK36(X0,X1,X2),sK37(X0,X1,X2)) | vvar(sK34(X0,X1,X2)) = X0 | ~vtcheck(X2,X0,X1) | vabs(sK38(X0,X1,X2),sK40(X0,X1,X2),sK39(X0,X1,X2)) = X0) )), 2.00/2.24 inference(cnf_transformation,[],[f135])). 2.00/2.24 fof(f261,plain,( 2.00/2.24 ( ! [X2,X0,X1] : (vtcheck(X2,sK35(X0,X1,X2),varrow(sK37(X0,X1,X2),X1)) | vvar(sK34(X0,X1,X2)) = X0 | ~vtcheck(X2,X0,X1) | vabs(sK38(X0,X1,X2),sK40(X0,X1,X2),sK39(X0,X1,X2)) = X0) )), 2.00/2.24 inference(cnf_transformation,[],[f135])). 2.00/2.24 fof(f271,plain,( 2.00/2.24 ( ! [X2,X0,X1] : (vapp(X0,X1) != X2 | ~visValue(X2)) )), 2.00/2.24 inference(cnf_transformation,[],[f136])). 2.00/2.24 fof(f293,plain,( 2.00/2.24 ( ! [X2,X0,X3,X1] : (vapp(X0,X1) != vapp(X2,X3) | X0 = X2) )), 2.00/2.24 inference(cnf_transformation,[],[f141])). 2.00/2.24 fof(f294,plain,( 2.00/2.24 ( ! [X2,X0,X3,X1] : (vapp(X0,X1) != vapp(X2,X3) | X1 = X3) )), 2.00/2.24 inference(cnf_transformation,[],[f141])). 2.00/2.24 fof(f299,plain,( 2.00/2.24 ( ! [X2,X0,X3,X1] : (vabs(X0,X1,X2) != X3 | visValue(X3)) )), 2.00/2.24 inference(cnf_transformation,[],[f144])). 2.00/2.24 fof(f346,plain,( 2.00/2.24 ( ! [X2,X0,X3,X1] : (vtcheck(vbind(X0,X1,X2),ve1app,X3) | vlookup(X0,X2) != vnoType | ~vtcheck(X2,ve1app,X3)) )), 2.00/2.24 inference(cnf_transformation,[],[f152])). 2.00/2.24 fof(f347,plain,( 2.00/2.24 ( ! [X2,X0,X3,X1] : (vtcheck(vbind(X0,X1,X2),ve2app,X3) | ~vtcheck(X2,ve2app,X3) | vlookup(X0,X2) != vnoType) )), 2.00/2.24 inference(cnf_transformation,[],[f154])). 2.00/2.24 fof(f354,plain,( 2.00/2.24 ( ! [X4,X2,X0,X3,X1] : (vtcheck(X1,vapp(X2,X3),X4) | ~vtcheck(X1,X2,varrow(X0,X4)) | ~vtcheck(X1,X3,X0)) )), 2.00/2.24 inference(cnf_transformation,[],[f161])). 2.00/2.24 fof(f406,plain,( 2.00/2.24 ( ! [X0,X1] : (~visValue(vapp(X0,X1))) )), 2.00/2.24 inference(equality_resolution,[],[f271])). 2.00/2.24 fof(f427,plain,( 2.00/2.24 ( ! [X2,X0,X1] : (visValue(vabs(X0,X1,X2))) )), 2.00/2.24 inference(equality_resolution,[],[f299])). 2.00/2.24 fof(f707,plain,( 2.00/2.24 ( ! [X0] : (~vtcheck(vbind(sK0,sK1,sK2),ve1app,varrow(X0,sK3)) | ~vtcheck(vbind(sK0,sK1,sK2),ve2app,X0)) )), 2.00/2.24 inference(resolution,[],[f354,f200])). 2.00/2.24 fof(f708,plain,( 2.00/2.24 ( ! [X0] : (~vtcheck(vbind(sK0,sK1,sK2),ve2app,X0) | vlookup(sK0,sK2) != vnoType | ~vtcheck(sK2,ve1app,varrow(X0,sK3))) )), 2.00/2.24 inference(resolution,[],[f707,f346])). 2.00/2.24 fof(f709,plain,( 2.00/2.24 ( ! [X0] : (vnoType != vnoType | ~vtcheck(vbind(sK0,sK1,sK2),ve2app,X0) | ~vtcheck(sK2,ve1app,varrow(X0,sK3))) )), 2.00/2.24 inference(forward_demodulation,[],[f708,f198])). 2.00/2.24 fof(f710,plain,( 2.00/2.24 ( ! [X0] : (~vtcheck(sK2,ve1app,varrow(X0,sK3)) | ~vtcheck(vbind(sK0,sK1,sK2),ve2app,X0)) )), 2.00/2.24 inference(trivial_inequality_removal,[],[f709])). 2.00/2.24 fof(f2821,plain,( 2.00/2.24 spl88_8 <=> vapp(ve1app,ve2app) = vapp(sK35(vapp(ve1app,ve2app),sK3,sK2),sK36(vapp(ve1app,ve2app),sK3,sK2))), 2.00/2.24 introduced(avatar_definition,[new_symbols(naming,[spl88_8])])). 2.00/2.24 fof(f2822,plain,( 2.00/2.24 vapp(ve1app,ve2app) = vapp(sK35(vapp(ve1app,ve2app),sK3,sK2),sK36(vapp(ve1app,ve2app),sK3,sK2)) | ~spl88_8), 2.00/2.24 inference(avatar_component_clause,[],[f2821])). 2.00/2.24 fof(f2824,plain,( 2.00/2.24 spl88_10 <=> vapp(ve1app,ve2app) = vvar(sK34(vapp(ve1app,ve2app),sK3,sK2))), 2.00/2.24 introduced(avatar_definition,[new_symbols(naming,[spl88_10])])). 2.00/2.24 fof(f2825,plain,( 2.00/2.24 vapp(ve1app,ve2app) = vvar(sK34(vapp(ve1app,ve2app),sK3,sK2)) | ~spl88_10), 2.00/2.24 inference(avatar_component_clause,[],[f2824])). 2.00/2.24 fof(f3781,plain,( 2.00/2.24 spl88_14 <=> vapp(ve1app,ve2app) = vabs(sK38(vapp(ve1app,ve2app),sK3,sK2),sK40(vapp(ve1app,ve2app),sK3,sK2),sK39(vapp(ve1app,ve2app),sK3,sK2))), 2.00/2.24 introduced(avatar_definition,[new_symbols(naming,[spl88_14])])). 2.00/2.24 fof(f3782,plain,( 2.00/2.24 vapp(ve1app,ve2app) = vabs(sK38(vapp(ve1app,ve2app),sK3,sK2),sK40(vapp(ve1app,ve2app),sK3,sK2),sK39(vapp(ve1app,ve2app),sK3,sK2)) | ~spl88_14), 2.00/2.24 inference(avatar_component_clause,[],[f3781])). 2.00/2.24 fof(f3785,plain,( 2.00/2.24 ( ! [X2,X1] : (vapp(ve1app,ve2app) != vapp(X1,X2) | sK35(vapp(ve1app,ve2app),sK3,sK2) = X1) ) | ~spl88_8), 2.00/2.24 inference(superposition,[],[f293,f2822])). 2.00/2.24 fof(f3787,plain,( 2.00/2.24 ( ! [X6,X5] : (vapp(ve1app,ve2app) != vapp(X5,X6) | sK36(vapp(ve1app,ve2app),sK3,sK2) = X6) ) | ~spl88_8), 2.00/2.24 inference(superposition,[],[f294,f2822])). 2.00/2.24 fof(f3913,plain,( 2.00/2.24 ve1app = sK35(vapp(ve1app,ve2app),sK3,sK2) | ~spl88_8), 2.00/2.24 inference(equality_resolution,[],[f3785])). 2.00/2.24 fof(f8528,plain,( 2.00/2.24 vapp(ve1app,ve2app) = vvar(sK34(vapp(ve1app,ve2app),sK3,sK2)) | vapp(ve1app,ve2app) = vapp(sK35(vapp(ve1app,ve2app),sK3,sK2),sK36(vapp(ve1app,ve2app),sK3,sK2)) | vapp(ve1app,ve2app) = vabs(sK38(vapp(ve1app,ve2app),sK3,sK2),sK40(vapp(ve1app,ve2app),sK3,sK2),sK39(vapp(ve1app,ve2app),sK3,sK2))), 2.00/2.24 inference(resolution,[],[f199,f255])). 2.00/2.24 fof(f8530,plain,( 2.00/2.24 spl88_14 | spl88_8 | spl88_10), 2.00/2.24 inference(avatar_split_clause,[],[f8528,f2824,f2821,f3781])). 2.00/2.24 fof(f8693,plain,( 2.00/2.24 visValue(vapp(ve1app,ve2app)) | ~spl88_14), 2.00/2.24 inference(superposition,[],[f427,f3782])). 2.00/2.24 fof(f8707,plain,( 2.00/2.24 $false | ~spl88_14), 2.00/2.24 inference(resolution,[],[f8693,f406])). 2.00/2.24 fof(f8709,plain,( 2.00/2.24 ~spl88_14), 2.00/2.24 inference(avatar_contradiction_clause,[],[f8707])). 2.00/2.24 fof(f8726,plain,( 2.00/2.24 ( ! [X2,X3] : (vapp(ve1app,ve2app) != vapp(X2,X3)) ) | ~spl88_10), 2.00/2.24 inference(superposition,[],[f249,f2825])). 2.00/2.24 fof(f8856,plain,( 2.00/2.24 $false | ~spl88_10), 2.00/2.24 inference(equality_resolution,[],[f8726])). 2.00/2.24 fof(f8857,plain,( 2.00/2.24 ~spl88_10), 2.00/2.24 inference(avatar_contradiction_clause,[],[f8856])). 2.00/2.24 fof(f8858,plain,( 2.00/2.24 vtcheck(sK2,ve1app,varrow(sK37(vapp(ve1app,ve2app),sK3,sK2),sK3)) | vapp(ve1app,ve2app) = vvar(sK34(vapp(ve1app,ve2app),sK3,sK2)) | ~vtcheck(sK2,vapp(ve1app,ve2app),sK3) | vapp(ve1app,ve2app) = vabs(sK38(vapp(ve1app,ve2app),sK3,sK2),sK40(vapp(ve1app,ve2app),sK3,sK2),sK39(vapp(ve1app,ve2app),sK3,sK2)) | ~spl88_8), 2.00/2.24 inference(superposition,[],[f261,f3913])). 2.00/2.24 fof(f8862,plain,( 2.00/2.24 spl88_147 <=> ~vtcheck(sK2,vapp(ve1app,ve2app),sK3)), 2.00/2.24 introduced(avatar_definition,[new_symbols(naming,[spl88_147])])). 2.00/2.24 fof(f8863,plain,( 2.00/2.24 ~vtcheck(sK2,vapp(ve1app,ve2app),sK3) | ~spl88_147), 2.00/2.24 inference(avatar_component_clause,[],[f8862])). 2.00/2.24 fof(f8865,plain,( 2.00/2.24 spl88_148 <=> vtcheck(sK2,ve1app,varrow(sK37(vapp(ve1app,ve2app),sK3,sK2),sK3))), 2.00/2.24 introduced(avatar_definition,[new_symbols(naming,[spl88_148])])). 2.00/2.24 fof(f8866,plain,( 2.00/2.24 vtcheck(sK2,ve1app,varrow(sK37(vapp(ve1app,ve2app),sK3,sK2),sK3)) | ~spl88_148), 2.00/2.24 inference(avatar_component_clause,[],[f8865])). 2.00/2.24 fof(f8867,plain,( 2.00/2.24 spl88_14 | ~spl88_147 | spl88_10 | spl88_148 | ~spl88_8), 2.00/2.24 inference(avatar_split_clause,[],[f8858,f2821,f8865,f2824,f8862,f3781])). 2.00/2.24 fof(f8868,plain,( 2.00/2.24 $false | ~spl88_147), 2.00/2.24 inference(resolution,[],[f8863,f199])). 2.00/2.24 fof(f8870,plain,( 2.00/2.24 spl88_147), 2.00/2.24 inference(avatar_contradiction_clause,[],[f8868])). 2.00/2.24 fof(f10447,plain,( 2.00/2.24 ~vtcheck(vbind(sK0,sK1,sK2),ve2app,sK37(vapp(ve1app,ve2app),sK3,sK2)) | ~spl88_148), 2.00/2.24 inference(resolution,[],[f8866,f710])). 2.00/2.24 fof(f11543,plain,( 2.00/2.24 ve2app = sK36(vapp(ve1app,ve2app),sK3,sK2) | ~spl88_8), 2.00/2.24 inference(equality_resolution,[],[f3787])). 2.00/2.24 fof(f11882,plain,( 2.00/2.24 vtcheck(sK2,ve2app,sK37(vapp(ve1app,ve2app),sK3,sK2)) | vapp(ve1app,ve2app) = vvar(sK34(vapp(ve1app,ve2app),sK3,sK2)) | ~vtcheck(sK2,vapp(ve1app,ve2app),sK3) | vapp(ve1app,ve2app) = vabs(sK38(vapp(ve1app,ve2app),sK3,sK2),sK40(vapp(ve1app,ve2app),sK3,sK2),sK39(vapp(ve1app,ve2app),sK3,sK2)) | ~spl88_8), 2.00/2.24 inference(superposition,[],[f258,f11543])). 2.00/2.24 fof(f11884,plain,( 2.00/2.24 spl88_236 <=> vtcheck(sK2,ve2app,sK37(vapp(ve1app,ve2app),sK3,sK2))), 2.00/2.24 introduced(avatar_definition,[new_symbols(naming,[spl88_236])])). 2.00/2.24 fof(f11885,plain,( 2.00/2.24 vtcheck(sK2,ve2app,sK37(vapp(ve1app,ve2app),sK3,sK2)) | ~spl88_236), 2.00/2.24 inference(avatar_component_clause,[],[f11884])). 2.00/2.24 fof(f11886,plain,( 2.00/2.24 spl88_14 | ~spl88_147 | spl88_10 | spl88_236 | ~spl88_8), 2.00/2.24 inference(avatar_split_clause,[],[f11882,f2821,f11884,f2824,f8862,f3781])). 2.00/2.24 fof(f11900,plain,( 2.00/2.24 ~vtcheck(sK2,ve2app,sK37(vapp(ve1app,ve2app),sK3,sK2)) | vlookup(sK0,sK2) != vnoType | ~spl88_148), 2.00/2.24 inference(resolution,[],[f10447,f347])). 2.00/2.24 fof(f11902,plain,( 2.00/2.24 vnoType != vnoType | ~vtcheck(sK2,ve2app,sK37(vapp(ve1app,ve2app),sK3,sK2)) | ~spl88_148), 2.00/2.24 inference(forward_demodulation,[],[f11900,f198])). 2.00/2.24 fof(f11903,plain,( 2.00/2.24 ~vtcheck(sK2,ve2app,sK37(vapp(ve1app,ve2app),sK3,sK2)) | ~spl88_148), 2.00/2.24 inference(trivial_inequality_removal,[],[f11902])). 2.00/2.24 fof(f11904,plain,( 2.00/2.24 $false | (~spl88_148 | ~spl88_236)), 2.00/2.24 inference(resolution,[],[f11903,f11885])). 2.00/2.24 fof(f11905,plain,( 2.00/2.24 ~spl88_148 | ~spl88_236), 2.00/2.24 inference(avatar_contradiction_clause,[],[f11904])). 2.00/2.24 fof(f11906,plain,( 2.00/2.24 $false), 2.00/2.24 inference(avatar_sat_refutation,[],[f8530,f8709,f8857,f8867,f8870,f11886,f11905])). 2.00/2.24 % SZS output end Proof for theBenchmark 2.00/2.24 % ------------------------------ 2.00/2.24 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.00/2.24 % Termination reason: Refutation 2.00/2.24 2.00/2.24 % Memory used [KB]: 20084 2.00/2.24 % Time elapsed: 0.355 s 2.00/2.24 % ------------------------------ 2.00/2.24 % ------------------------------ 2.00/2.24 % Success in time 1.999 s 2.00/2.24 EOF