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 : n183.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 05:28:56 CDT 2018 0.03/0.24 % CPUTime : 0.03/0.24 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.24 % 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 0.52/0.77 % (16976)Time limit reached! 0.52/0.77 % ------------------------------ 0.52/0.77 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.52/0.77 % Termination reason: Time limit 0.52/0.77 % Termination phase: Saturation 0.52/0.77 0.52/0.77 % Memory used [KB]: 11001 0.52/0.77 % Time elapsed: 0.500 s 0.52/0.77 % ------------------------------ 0.52/0.77 % ------------------------------ 0.52/0.77 % remaining time: 5994 next slice time: 10 0.52/0.77 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 1.62/1.87 % (16977)Time limit reached! 1.62/1.87 % ------------------------------ 1.62/1.87 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.62/1.87 % Termination reason: Time limit 1.62/1.87 % Termination phase: Saturation 1.62/1.87 1.62/1.87 % Memory used [KB]: 45670 1.62/1.87 % Time elapsed: 1.100 s 1.62/1.87 % ------------------------------ 1.62/1.87 % ------------------------------ 1.62/1.88 % remaining time: 5983 next slice time: 4 1.62/1.88 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 2.12/2.38 % (16998)Time limit reached! 2.12/2.38 % ------------------------------ 2.12/2.38 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.12/2.38 % Termination reason: Time limit 2.12/2.38 % Termination phase: Saturation 2.12/2.38 2.12/2.38 % Memory used [KB]: 32622 2.12/2.38 % Time elapsed: 0.500 s 2.12/2.38 % ------------------------------ 2.12/2.38 % ------------------------------ 2.12/2.38 % remaining time: 5978 next slice time: 6 2.12/2.38 dis+11_28_av=off:fsr=off:irw=on:lcm=predicate:nm=2:newcnf=on:nwc=5:sp=occurrence:urr=on:updr=off_4 on theBenchmark 2.90/3.08 % (17016)Time limit reached! 2.90/3.08 % ------------------------------ 2.90/3.08 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.90/3.08 % Termination reason: Time limit 2.90/3.08 % Termination phase: Saturation 2.90/3.08 2.90/3.08 % Memory used [KB]: 31726 2.90/3.08 % Time elapsed: 0.700 s 2.90/3.08 % ------------------------------ 2.90/3.08 % ------------------------------ 2.90/3.08 % remaining time: 5971 next slice time: 6 2.90/3.09 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_4 on theBenchmark 3.54/3.79 % (17037)Time limit reached! 3.54/3.79 % ------------------------------ 3.54/3.79 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.54/3.79 % Termination reason: Time limit 3.54/3.79 % Termination phase: Saturation 3.54/3.79 3.54/3.79 % Memory used [KB]: 39914 3.54/3.79 % Time elapsed: 0.700 s 3.54/3.79 % ------------------------------ 3.54/3.79 % ------------------------------ 3.54/3.79 % remaining time: 5964 next slice time: 4 3.54/3.79 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 4.11/4.29 % (17038)Time limit reached! 4.11/4.29 % ------------------------------ 4.11/4.29 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 4.11/4.29 % Termination reason: Time limit 4.11/4.29 % Termination phase: Saturation 4.11/4.29 4.11/4.29 % Memory used [KB]: 26097 4.11/4.29 % Time elapsed: 0.500 s 4.11/4.29 % ------------------------------ 4.11/4.29 % ------------------------------ 4.11/4.29 % remaining time: 5959 next slice time: 23 4.11/4.29 lrs+1011_3:2_aac=none:afp=10000:afq=1.2:amm=off:anc=all:cond=on:fde=none:gs=on:gsem=on:irw=on:lma=on:nm=32:newcnf=on:nwc=3:nicw=on:stl=30:sac=on:sp=reverse_arity:urr=ec_only:updr=off:uhcvi=on_21 on theBenchmark 5.14/5.33 % Refutation found. Thanks to Tanya! 5.14/5.33 % SZS status Theorem for theBenchmark 5.14/5.33 % SZS output start Proof for theBenchmark 5.14/5.33 fof(f17,axiom,( 5.14/5.33 ! [X7,X8,X21,X22] : (((X7 = X21 & X8 = X22) => vapp(X7,X8) = vapp(X21,X22)) & (vapp(X7,X8) = vapp(X21,X22) => (X8 = X22 & X7 = X21)))), 5.14/5.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p','EQ-app')). 5.14/5.33 fof(f21,axiom,( 5.14/5.33 ! [X2,X7,X8] : vapp(X7,X8) != vvar(X2)), 5.14/5.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-var-app')). 5.14/5.33 fof(f38,axiom,( 5.14/5.33 ! [X2,X13,X7,X8,X21] : vapp(X8,X21) != vabs(X2,X13,X7)), 5.14/5.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p','DIFF-abs-app')). 5.14/5.33 fof(f42,axiom,( 5.14/5.33 ! [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)))), 5.14/5.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-inv')). 5.14/5.33 fof(f44,axiom,( 5.14/5.33 ! [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)))))), 5.14/5.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p',isFreeVar2)). 5.14/5.33 fof(f53,axiom,( 5.14/5.33 ! [X29,X6,X12,X20,X10] : ((vtcheck(X6,X12,varrow(X29,X10)) & vtcheck(X6,X20,X29)) => vtcheck(X6,vapp(X12,X20),X10))), 5.14/5.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-app')). 5.14/5.33 fof(f55,axiom,( 5.14/5.33 ! [X5,X29,X6,X10] : ((vtcheck(vbind(X5,X29,X6),ve2app,X10) & ~visFreeVar(X5,ve2app)) => vtcheck(X6,ve2app,X10))), 5.14/5.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app-IH2')). 5.14/5.33 fof(f57,axiom,( 5.14/5.33 ! [X5,X29,X6,X10] : ((vtcheck(vbind(X5,X29,X6),ve1app,X10) & ~visFreeVar(X5,ve1app)) => vtcheck(X6,ve1app,X10))), 5.14/5.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app-IH1')). 5.14/5.33 fof(f58,conjecture,( 5.14/5.33 ! [X5,X29,X6,X10] : ((~visFreeVar(X5,vapp(ve1app,ve2app)) & vtcheck(vbind(X5,X29,X6),vapp(ve1app,ve2app),X10)) => vtcheck(X6,vapp(ve1app,ve2app),X10))), 5.14/5.33 file('/export/starexec/sandbox/benchmark/theBenchmark.p','T-Strong-app')). 5.14/5.33 fof(f59,negated_conjecture,( 5.14/5.33 ~! [X5,X29,X6,X10] : ((~visFreeVar(X5,vapp(ve1app,ve2app)) & vtcheck(vbind(X5,X29,X6),vapp(ve1app,ve2app),X10)) => vtcheck(X6,vapp(ve1app,ve2app),X10))), 5.14/5.33 inference(negated_conjecture,[],[f58])). 5.14/5.33 fof(f60,plain,( 5.14/5.33 ~! [X0,X1,X2,X3] : ((~visFreeVar(X0,vapp(ve1app,ve2app)) & vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)) => vtcheck(X2,vapp(ve1app,ve2app),X3))), 5.14/5.33 inference(rectify,[],[f59])). 5.14/5.33 fof(f74,plain,( 5.14/5.33 ! [X0,X1,X2] : vapp(X1,X2) != vvar(X0)), 5.14/5.33 inference(rectify,[],[f21])). 5.14/5.33 fof(f78,plain,( 5.14/5.33 ! [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)))), 5.14/5.33 inference(rectify,[],[f42])). 5.14/5.33 fof(f83,plain,( 5.14/5.33 ! [X0,X1,X2,X3] : (((X0 = X2 & X1 = X3) => vapp(X0,X1) = vapp(X2,X3)) & (vapp(X0,X1) = vapp(X2,X3) => (X1 = X3 & X0 = X2)))), 5.14/5.33 inference(rectify,[],[f17])). 5.14/5.33 fof(f87,plain,( 5.14/5.33 ! [X0,X1,X2,X3] : ((vtcheck(vbind(X0,X1,X2),ve1app,X3) & ~visFreeVar(X0,ve1app)) => vtcheck(X2,ve1app,X3))), 5.14/5.33 inference(rectify,[],[f57])). 5.14/5.33 fof(f88,plain,( 5.14/5.33 ! [X0,X1,X2,X3] : ((vtcheck(vbind(X0,X1,X2),ve2app,X3) & ~visFreeVar(X0,ve2app)) => vtcheck(X2,ve2app,X3))), 5.14/5.33 inference(rectify,[],[f55])). 5.14/5.33 fof(f91,plain,( 5.14/5.33 ! [X0,X1,X2,X3,X4] : vapp(X3,X4) != vabs(X0,X1,X2)), 5.14/5.33 inference(rectify,[],[f38])). 5.14/5.33 fof(f94,plain,( 5.14/5.33 ! [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)))))), 5.14/5.33 inference(rectify,[],[f44])). 5.14/5.33 fof(f96,plain,( 5.14/5.33 ! [X0,X1,X2,X3,X4] : ((vtcheck(X1,X2,varrow(X0,X4)) & vtcheck(X1,X3,X0)) => vtcheck(X1,vapp(X2,X3),X4))), 5.14/5.33 inference(rectify,[],[f53])). 5.14/5.33 fof(f114,plain,( 5.14/5.33 ? [X0,X1,X2,X3] : (~vtcheck(X2,vapp(ve1app,ve2app),X3) & (~visFreeVar(X0,vapp(ve1app,ve2app)) & vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3)))), 5.14/5.33 inference(ennf_transformation,[],[f60])). 5.14/5.33 fof(f115,plain,( 5.14/5.33 ? [X0,X1,X2,X3] : (~vtcheck(X2,vapp(ve1app,ve2app),X3) & ~visFreeVar(X0,vapp(ve1app,ve2app)) & vtcheck(vbind(X0,X1,X2),vapp(ve1app,ve2app),X3))), 5.14/5.33 inference(flattening,[],[f114])). 5.14/5.33 fof(f136,plain,( 5.14/5.33 ! [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))), 5.14/5.33 inference(ennf_transformation,[],[f78])). 5.14/5.33 fof(f137,plain,( 5.14/5.33 ! [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))), 5.14/5.33 inference(flattening,[],[f136])). 5.14/5.33 fof(f142,plain,( 5.14/5.33 ! [X0,X1,X2,X3] : ((vapp(X0,X1) = vapp(X2,X3) | (X0 != X2 | X1 != X3)) & ((X1 = X3 & X0 = X2) | vapp(X0,X1) != vapp(X2,X3)))), 5.14/5.33 inference(ennf_transformation,[],[f83])). 5.14/5.33 fof(f143,plain,( 5.14/5.33 ! [X0,X1,X2,X3] : ((vapp(X0,X1) = vapp(X2,X3) | X0 != X2 | X1 != X3) & ((X1 = X3 & X0 = X2) | vapp(X0,X1) != vapp(X2,X3)))), 5.14/5.33 inference(flattening,[],[f142])). 5.14/5.33 fof(f149,plain,( 5.14/5.33 ! [X0,X1,X2,X3] : (vtcheck(X2,ve1app,X3) | (~vtcheck(vbind(X0,X1,X2),ve1app,X3) | visFreeVar(X0,ve1app)))), 5.14/5.33 inference(ennf_transformation,[],[f87])). 5.14/5.33 fof(f150,plain,( 5.14/5.33 ! [X0,X1,X2,X3] : (vtcheck(X2,ve1app,X3) | ~vtcheck(vbind(X0,X1,X2),ve1app,X3) | visFreeVar(X0,ve1app))), 5.14/5.33 inference(flattening,[],[f149])). 5.14/5.33 fof(f151,plain,( 5.14/5.33 ! [X0,X1,X2,X3] : (vtcheck(X2,ve2app,X3) | (~vtcheck(vbind(X0,X1,X2),ve2app,X3) | visFreeVar(X0,ve2app)))), 5.14/5.33 inference(ennf_transformation,[],[f88])). 5.14/5.33 fof(f152,plain,( 5.14/5.33 ! [X0,X1,X2,X3] : (vtcheck(X2,ve2app,X3) | ~vtcheck(vbind(X0,X1,X2),ve2app,X3) | visFreeVar(X0,ve2app))), 5.14/5.33 inference(flattening,[],[f151])). 5.14/5.33 fof(f160,plain,( 5.14/5.33 ! [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))), 5.14/5.33 inference(ennf_transformation,[],[f94])). 5.14/5.33 fof(f161,plain,( 5.14/5.33 ! [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)), 5.14/5.33 inference(flattening,[],[f160])). 5.14/5.33 fof(f164,plain,( 5.14/5.33 ! [X0,X1,X2,X3,X4] : (vtcheck(X1,vapp(X2,X3),X4) | (~vtcheck(X1,X2,varrow(X0,X4)) | ~vtcheck(X1,X3,X0)))), 5.14/5.33 inference(ennf_transformation,[],[f96])). 5.14/5.33 fof(f165,plain,( 5.14/5.33 ! [X0,X1,X2,X3,X4] : (vtcheck(X1,vapp(X2,X3),X4) | ~vtcheck(X1,X2,varrow(X0,X4)) | ~vtcheck(X1,X3,X0))), 5.14/5.33 inference(flattening,[],[f164])). 5.14/5.33 fof(f202,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),vapp(ve1app,ve2app),sK3)), 5.14/5.33 inference(cnf_transformation,[],[f115])). 5.14/5.33 fof(f203,plain,( 5.14/5.33 ~visFreeVar(sK0,vapp(ve1app,ve2app))), 5.14/5.33 inference(cnf_transformation,[],[f115])). 5.14/5.33 fof(f204,plain,( 5.14/5.33 ~vtcheck(sK2,vapp(ve1app,ve2app),sK3)), 5.14/5.33 inference(cnf_transformation,[],[f115])). 5.14/5.33 fof(f280,plain,( 5.14/5.33 ( ! [X2,X0,X1] : (vapp(X1,X2) != vvar(X0)) )), 5.14/5.33 inference(cnf_transformation,[],[f74])). 5.14/5.33 fof(f286,plain,( 5.14/5.33 ( ! [X2,X0,X1] : (~vtcheck(X2,X0,X1) | vvar(sK33(X0,X1,X2)) = X0 | vapp(sK34(X0,X1,X2),sK35(X0,X1,X2)) = X0 | vabs(sK37(X0,X1,X2),sK39(X0,X1,X2),sK38(X0,X1,X2)) = X0) )), 5.14/5.33 inference(cnf_transformation,[],[f137])). 5.14/5.33 fof(f289,plain,( 5.14/5.33 ( ! [X2,X0,X1] : (~vtcheck(X2,X0,X1) | vvar(sK33(X0,X1,X2)) = X0 | vtcheck(X2,sK35(X0,X1,X2),sK36(X0,X1,X2)) | vabs(sK37(X0,X1,X2),sK39(X0,X1,X2),sK38(X0,X1,X2)) = X0) )), 5.14/5.33 inference(cnf_transformation,[],[f137])). 5.14/5.33 fof(f292,plain,( 5.14/5.33 ( ! [X2,X0,X1] : (~vtcheck(X2,X0,X1) | vvar(sK33(X0,X1,X2)) = X0 | vtcheck(X2,sK34(X0,X1,X2),varrow(sK36(X0,X1,X2),X1)) | vabs(sK37(X0,X1,X2),sK39(X0,X1,X2),sK38(X0,X1,X2)) = X0) )), 5.14/5.33 inference(cnf_transformation,[],[f137])). 5.14/5.33 fof(f353,plain,( 5.14/5.33 ( ! [X2,X0,X3,X1] : (vapp(X0,X1) != vapp(X2,X3) | X0 = X2) )), 5.14/5.33 inference(cnf_transformation,[],[f143])). 5.14/5.33 fof(f354,plain,( 5.14/5.33 ( ! [X2,X0,X3,X1] : (vapp(X0,X1) != vapp(X2,X3) | X1 = X3) )), 5.14/5.33 inference(cnf_transformation,[],[f143])). 5.14/5.33 fof(f516,plain,( 5.14/5.33 ( ! [X2,X0,X3,X1] : (visFreeVar(X0,ve1app) | ~vtcheck(vbind(X0,X1,X2),ve1app,X3) | vtcheck(X2,ve1app,X3)) )), 5.14/5.33 inference(cnf_transformation,[],[f150])). 5.14/5.33 fof(f517,plain,( 5.14/5.33 ( ! [X2,X0,X3,X1] : (visFreeVar(X0,ve2app) | ~vtcheck(vbind(X0,X1,X2),ve2app,X3) | vtcheck(X2,ve2app,X3)) )), 5.14/5.33 inference(cnf_transformation,[],[f152])). 5.14/5.33 fof(f521,plain,( 5.14/5.33 ( ! [X4,X2,X0,X3,X1] : (vapp(X3,X4) != vabs(X0,X1,X2)) )), 5.14/5.33 inference(cnf_transformation,[],[f91])). 5.14/5.33 fof(f524,plain,( 5.14/5.33 ( ! [X4,X2,X0,X3,X1] : (X0 != X3 | vapp(X2,X4) != X1 | ~visFreeVar(X3,X2) | visFreeVar(X0,X1)) )), 5.14/5.33 inference(cnf_transformation,[],[f161])). 5.14/5.33 fof(f525,plain,( 5.14/5.33 ( ! [X4,X2,X0,X3,X1] : (X0 != X3 | vapp(X2,X4) != X1 | ~visFreeVar(X3,X4) | visFreeVar(X0,X1)) )), 5.14/5.33 inference(cnf_transformation,[],[f161])). 5.14/5.33 fof(f528,plain,( 5.14/5.33 ( ! [X4,X2,X0,X3,X1] : (~vtcheck(X1,X3,X0) | ~vtcheck(X1,X2,varrow(X0,X4)) | vtcheck(X1,vapp(X2,X3),X4)) )), 5.14/5.33 inference(cnf_transformation,[],[f165])). 5.14/5.33 fof(f819,plain,( 5.14/5.33 ( ! [X4,X2,X3,X1] : (vapp(X2,X4) != X1 | ~visFreeVar(X3,X4) | visFreeVar(X3,X1)) )), 5.14/5.33 inference(equality_resolution,[],[f525])). 5.14/5.33 fof(f820,plain,( 5.14/5.33 ( ! [X4,X2,X3] : (~visFreeVar(X3,X4) | visFreeVar(X3,vapp(X2,X4))) )), 5.14/5.33 inference(equality_resolution,[],[f819])). 5.14/5.33 fof(f821,plain,( 5.14/5.33 ( ! [X4,X2,X3,X1] : (vapp(X2,X4) != X1 | ~visFreeVar(X3,X2) | visFreeVar(X3,X1)) )), 5.14/5.33 inference(equality_resolution,[],[f524])). 5.14/5.33 fof(f822,plain,( 5.14/5.33 ( ! [X4,X2,X3] : (~visFreeVar(X3,X2) | visFreeVar(X3,vapp(X2,X4))) )), 5.14/5.33 inference(equality_resolution,[],[f821])). 5.14/5.33 fof(f922,plain,( 5.14/5.33 spl85_1 <=> ~visFreeVar(sK0,vapp(ve1app,ve2app))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_1])])). 5.14/5.33 fof(f923,plain,( 5.14/5.33 ~visFreeVar(sK0,vapp(ve1app,ve2app)) | ~spl85_1), 5.14/5.33 inference(avatar_component_clause,[],[f922])). 5.14/5.33 fof(f924,plain,( 5.14/5.33 ~spl85_1), 5.14/5.33 inference(avatar_split_clause,[],[f203,f922])). 5.14/5.33 fof(f926,plain,( 5.14/5.33 spl85_3 <=> ~vtcheck(sK2,vapp(ve1app,ve2app),sK3)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_3])])). 5.14/5.33 fof(f927,plain,( 5.14/5.33 ~vtcheck(sK2,vapp(ve1app,ve2app),sK3) | ~spl85_3), 5.14/5.33 inference(avatar_component_clause,[],[f926])). 5.14/5.33 fof(f928,plain,( 5.14/5.33 ~spl85_3), 5.14/5.33 inference(avatar_split_clause,[],[f204,f926])). 5.14/5.33 fof(f938,plain,( 5.14/5.33 spl85_8 <=> vtcheck(vbind(sK0,sK1,sK2),vapp(ve1app,ve2app),sK3)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_8])])). 5.14/5.33 fof(f939,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),vapp(ve1app,ve2app),sK3) | ~spl85_8), 5.14/5.33 inference(avatar_component_clause,[],[f938])). 5.14/5.33 fof(f940,plain,( 5.14/5.33 spl85_8), 5.14/5.33 inference(avatar_split_clause,[],[f202,f938])). 5.14/5.33 fof(f998,plain,( 5.14/5.33 spl85_38 <=> ! [X1,X0,X2] : vapp(X1,X2) != vvar(X0)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_38])])). 5.14/5.33 fof(f999,plain,( 5.14/5.33 ( ! [X2,X0,X1] : (vapp(X1,X2) != vvar(X0)) ) | ~spl85_38), 5.14/5.33 inference(avatar_component_clause,[],[f998])). 5.14/5.33 fof(f1000,plain,( 5.14/5.33 spl85_38), 5.14/5.33 inference(avatar_split_clause,[],[f280,f998])). 5.14/5.33 fof(f1042,plain,( 5.14/5.33 spl85_60 <=> ! [X1,X3,X0,X2,X4] : vapp(X3,X4) != vabs(X0,X1,X2)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_60])])). 5.14/5.33 fof(f1043,plain,( 5.14/5.33 ( ! [X4,X2,X0,X3,X1] : (vapp(X3,X4) != vabs(X0,X1,X2)) ) | ~spl85_60), 5.14/5.33 inference(avatar_component_clause,[],[f1042])). 5.14/5.33 fof(f1044,plain,( 5.14/5.33 spl85_60), 5.14/5.33 inference(avatar_split_clause,[],[f521,f1042])). 5.14/5.33 fof(f1046,plain,( 5.14/5.33 spl85_62 <=> ! [X3,X2,X4] : (~visFreeVar(X3,X4) | visFreeVar(X3,vapp(X2,X4)))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_62])])). 5.14/5.33 fof(f1047,plain,( 5.14/5.33 ( ! [X4,X2,X3] : (~visFreeVar(X3,X4) | visFreeVar(X3,vapp(X2,X4))) ) | ~spl85_62), 5.14/5.33 inference(avatar_component_clause,[],[f1046])). 5.14/5.33 fof(f1048,plain,( 5.14/5.33 spl85_62), 5.14/5.33 inference(avatar_split_clause,[],[f820,f1046])). 5.14/5.33 fof(f1050,plain,( 5.14/5.33 spl85_64 <=> ! [X3,X2,X4] : (~visFreeVar(X3,X2) | visFreeVar(X3,vapp(X2,X4)))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_64])])). 5.14/5.33 fof(f1051,plain,( 5.14/5.33 ( ! [X4,X2,X3] : (~visFreeVar(X3,X2) | visFreeVar(X3,vapp(X2,X4))) ) | ~spl85_64), 5.14/5.33 inference(avatar_component_clause,[],[f1050])). 5.14/5.33 fof(f1052,plain,( 5.14/5.33 spl85_64), 5.14/5.33 inference(avatar_split_clause,[],[f822,f1050])). 5.14/5.33 fof(f1112,plain,( 5.14/5.33 spl85_90 <=> ! [X1,X3,X0,X2] : (vapp(X0,X1) != vapp(X2,X3) | X0 = X2)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_90])])). 5.14/5.33 fof(f1113,plain,( 5.14/5.33 ( ! [X2,X0,X3,X1] : (vapp(X0,X1) != vapp(X2,X3) | X0 = X2) ) | ~spl85_90), 5.14/5.33 inference(avatar_component_clause,[],[f1112])). 5.14/5.33 fof(f1114,plain,( 5.14/5.33 spl85_90), 5.14/5.33 inference(avatar_split_clause,[],[f353,f1112])). 5.14/5.33 fof(f1116,plain,( 5.14/5.33 spl85_92 <=> ! [X1,X3,X0,X2] : (vapp(X0,X1) != vapp(X2,X3) | X1 = X3)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_92])])). 5.14/5.33 fof(f1117,plain,( 5.14/5.33 ( ! [X2,X0,X3,X1] : (vapp(X0,X1) != vapp(X2,X3) | X1 = X3) ) | ~spl85_92), 5.14/5.33 inference(avatar_component_clause,[],[f1116])). 5.14/5.33 fof(f1118,plain,( 5.14/5.33 spl85_92), 5.14/5.33 inference(avatar_split_clause,[],[f354,f1116])). 5.14/5.33 fof(f1349,plain,( 5.14/5.33 spl85_178 <=> ! [X1,X3,X0,X2] : (visFreeVar(X0,ve1app) | ~vtcheck(vbind(X0,X1,X2),ve1app,X3) | vtcheck(X2,ve1app,X3))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_178])])). 5.14/5.33 fof(f1350,plain,( 5.14/5.33 ( ! [X2,X0,X3,X1] : (~vtcheck(vbind(X0,X1,X2),ve1app,X3) | visFreeVar(X0,ve1app) | vtcheck(X2,ve1app,X3)) ) | ~spl85_178), 5.14/5.33 inference(avatar_component_clause,[],[f1349])). 5.14/5.33 fof(f1351,plain,( 5.14/5.33 spl85_178), 5.14/5.33 inference(avatar_split_clause,[],[f516,f1349])). 5.14/5.33 fof(f1357,plain,( 5.14/5.33 spl85_182 <=> ! [X1,X3,X0,X2] : (visFreeVar(X0,ve2app) | ~vtcheck(vbind(X0,X1,X2),ve2app,X3) | vtcheck(X2,ve2app,X3))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_182])])). 5.14/5.33 fof(f1358,plain,( 5.14/5.33 ( ! [X2,X0,X3,X1] : (~vtcheck(vbind(X0,X1,X2),ve2app,X3) | visFreeVar(X0,ve2app) | vtcheck(X2,ve2app,X3)) ) | ~spl85_182), 5.14/5.33 inference(avatar_component_clause,[],[f1357])). 5.14/5.33 fof(f1359,plain,( 5.14/5.33 spl85_182), 5.14/5.33 inference(avatar_split_clause,[],[f517,f1357])). 5.14/5.33 fof(f1427,plain,( 5.14/5.33 spl85_206 <=> ! [X1,X3,X0,X2,X4] : (~vtcheck(X1,X3,X0) | ~vtcheck(X1,X2,varrow(X0,X4)) | vtcheck(X1,vapp(X2,X3),X4))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_206])])). 5.14/5.33 fof(f1428,plain,( 5.14/5.33 ( ! [X4,X2,X0,X3,X1] : (vtcheck(X1,vapp(X2,X3),X4) | ~vtcheck(X1,X2,varrow(X0,X4)) | ~vtcheck(X1,X3,X0)) ) | ~spl85_206), 5.14/5.33 inference(avatar_component_clause,[],[f1427])). 5.14/5.33 fof(f1429,plain,( 5.14/5.33 spl85_206), 5.14/5.33 inference(avatar_split_clause,[],[f528,f1427])). 5.14/5.33 fof(f2238,plain,( 5.14/5.33 spl85_370 <=> ! [X1,X0,X2] : (~vtcheck(X2,X0,X1) | vvar(sK33(X0,X1,X2)) = X0 | vtcheck(X2,sK35(X0,X1,X2),sK36(X0,X1,X2)) | vabs(sK37(X0,X1,X2),sK39(X0,X1,X2),sK38(X0,X1,X2)) = X0)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_370])])). 5.14/5.33 fof(f2239,plain,( 5.14/5.33 ( ! [X2,X0,X1] : (vtcheck(X2,sK35(X0,X1,X2),sK36(X0,X1,X2)) | vvar(sK33(X0,X1,X2)) = X0 | ~vtcheck(X2,X0,X1) | vabs(sK37(X0,X1,X2),sK39(X0,X1,X2),sK38(X0,X1,X2)) = X0) ) | ~spl85_370), 5.14/5.33 inference(avatar_component_clause,[],[f2238])). 5.14/5.33 fof(f2240,plain,( 5.14/5.33 spl85_370), 5.14/5.33 inference(avatar_split_clause,[],[f289,f2238])). 5.14/5.33 fof(f2304,plain,( 5.14/5.33 spl85_382 <=> ! [X1,X0,X2] : (~vtcheck(X2,X0,X1) | vvar(sK33(X0,X1,X2)) = X0 | vapp(sK34(X0,X1,X2),sK35(X0,X1,X2)) = X0 | vabs(sK37(X0,X1,X2),sK39(X0,X1,X2),sK38(X0,X1,X2)) = X0)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_382])])). 5.14/5.33 fof(f2305,plain,( 5.14/5.33 ( ! [X2,X0,X1] : (~vtcheck(X2,X0,X1) | vvar(sK33(X0,X1,X2)) = X0 | vapp(sK34(X0,X1,X2),sK35(X0,X1,X2)) = X0 | vabs(sK37(X0,X1,X2),sK39(X0,X1,X2),sK38(X0,X1,X2)) = X0) ) | ~spl85_382), 5.14/5.33 inference(avatar_component_clause,[],[f2304])). 5.14/5.33 fof(f2306,plain,( 5.14/5.33 spl85_382), 5.14/5.33 inference(avatar_split_clause,[],[f286,f2304])). 5.14/5.33 fof(f2376,plain,( 5.14/5.33 spl85_404 <=> ! [X1,X0,X2] : (~vtcheck(X2,X0,X1) | vvar(sK33(X0,X1,X2)) = X0 | vtcheck(X2,sK34(X0,X1,X2),varrow(sK36(X0,X1,X2),X1)) | vabs(sK37(X0,X1,X2),sK39(X0,X1,X2),sK38(X0,X1,X2)) = X0)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_404])])). 5.14/5.33 fof(f2377,plain,( 5.14/5.33 ( ! [X2,X0,X1] : (vtcheck(X2,sK34(X0,X1,X2),varrow(sK36(X0,X1,X2),X1)) | vvar(sK33(X0,X1,X2)) = X0 | ~vtcheck(X2,X0,X1) | vabs(sK37(X0,X1,X2),sK39(X0,X1,X2),sK38(X0,X1,X2)) = X0) ) | ~spl85_404), 5.14/5.33 inference(avatar_component_clause,[],[f2376])). 5.14/5.33 fof(f2378,plain,( 5.14/5.33 spl85_404), 5.14/5.33 inference(avatar_split_clause,[],[f292,f2376])). 5.14/5.33 fof(f2399,plain,( 5.14/5.33 vapp(ve1app,ve2app) = vvar(sK33(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | vapp(ve1app,ve2app) = vapp(sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | vapp(ve1app,ve2app) = vabs(sK37(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK39(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK38(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_8 | ~spl85_382)), 5.14/5.33 inference(resolution,[],[f2305,f939])). 5.14/5.33 fof(f2411,plain,( 5.14/5.33 vapp(ve1app,ve2app) = vapp(sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | vapp(ve1app,ve2app) = vabs(sK37(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK39(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK38(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_8 | ~spl85_38 | ~spl85_382)), 5.14/5.33 inference(subsumption_resolution,[],[f2399,f999])). 5.14/5.33 fof(f2412,plain,( 5.14/5.33 vapp(ve1app,ve2app) = vapp(sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_8 | ~spl85_38 | ~spl85_60 | ~spl85_382)), 5.14/5.33 inference(subsumption_resolution,[],[f2411,f1043])). 5.14/5.33 fof(f9196,plain,( 5.14/5.33 spl85_724 <=> vapp(ve1app,ve2app) = vapp(sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_724])])). 5.14/5.33 fof(f9197,plain,( 5.14/5.33 vapp(ve1app,ve2app) = vapp(sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | ~spl85_724), 5.14/5.33 inference(avatar_component_clause,[],[f9196])). 5.14/5.33 fof(f9198,plain,( 5.14/5.33 spl85_724 | ~spl85_8 | ~spl85_38 | ~spl85_60 | ~spl85_382), 5.14/5.33 inference(avatar_split_clause,[],[f2412,f2304,f1042,f998,f938,f9196])). 5.14/5.33 fof(f9210,plain,( 5.14/5.33 ( ! [X4,X5] : (vapp(ve1app,ve2app) != vapp(X4,X5) | sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) = X4) ) | (~spl85_90 | ~spl85_724)), 5.14/5.33 inference(superposition,[],[f1113,f9197])). 5.14/5.33 fof(f9212,plain,( 5.14/5.33 ( ! [X8,X9] : (vapp(ve1app,ve2app) != vapp(X8,X9) | sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) = X9) ) | (~spl85_92 | ~spl85_724)), 5.14/5.33 inference(superposition,[],[f1117,f9197])). 5.14/5.33 fof(f9241,plain,( 5.14/5.33 spl85_732 <=> ! [X5,X4] : (vapp(ve1app,ve2app) != vapp(X4,X5) | sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) = X4)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_732])])). 5.14/5.33 fof(f9242,plain,( 5.14/5.33 ( ! [X4,X5] : (vapp(ve1app,ve2app) != vapp(X4,X5) | sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) = X4) ) | ~spl85_732), 5.14/5.33 inference(avatar_component_clause,[],[f9241])). 5.14/5.33 fof(f9243,plain,( 5.14/5.33 spl85_732 | ~spl85_90 | ~spl85_724), 5.14/5.33 inference(avatar_split_clause,[],[f9210,f9196,f1112,f9241])). 5.14/5.33 fof(f9254,plain,( 5.14/5.33 ve1app = sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) | ~spl85_732), 5.14/5.33 inference(equality_resolution,[],[f9242])). 5.14/5.33 fof(f9266,plain,( 5.14/5.33 spl85_740 <=> ve1app = sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_740])])). 5.14/5.33 fof(f9267,plain,( 5.14/5.33 ve1app = sK34(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) | ~spl85_740), 5.14/5.33 inference(avatar_component_clause,[],[f9266])). 5.14/5.33 fof(f9268,plain,( 5.14/5.33 spl85_740 | ~spl85_732), 5.14/5.33 inference(avatar_split_clause,[],[f9254,f9241,f9266])). 5.14/5.33 fof(f9278,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve1app,varrow(sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK3)) | vapp(ve1app,ve2app) = vvar(sK33(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | ~vtcheck(vbind(sK0,sK1,sK2),vapp(ve1app,ve2app),sK3) | vapp(ve1app,ve2app) = vabs(sK37(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK39(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK38(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_404 | ~spl85_740)), 5.14/5.33 inference(superposition,[],[f2377,f9267])). 5.14/5.33 fof(f9283,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve1app,varrow(sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK3)) | ~vtcheck(vbind(sK0,sK1,sK2),vapp(ve1app,ve2app),sK3) | vapp(ve1app,ve2app) = vabs(sK37(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK39(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK38(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_38 | ~spl85_404 | ~spl85_740)), 5.14/5.33 inference(subsumption_resolution,[],[f9278,f999])). 5.14/5.33 fof(f9284,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve1app,varrow(sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK3)) | vapp(ve1app,ve2app) = vabs(sK37(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK39(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK38(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_8 | ~spl85_38 | ~spl85_404 | ~spl85_740)), 5.14/5.33 inference(subsumption_resolution,[],[f9283,f939])). 5.14/5.33 fof(f9285,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve1app,varrow(sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK3)) | (~spl85_8 | ~spl85_38 | ~spl85_60 | ~spl85_404 | ~spl85_740)), 5.14/5.33 inference(subsumption_resolution,[],[f9284,f1043])). 5.14/5.33 fof(f9337,plain,( 5.14/5.33 spl85_756 <=> ! [X9,X8] : (vapp(ve1app,ve2app) != vapp(X8,X9) | sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) = X9)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_756])])). 5.14/5.33 fof(f9338,plain,( 5.14/5.33 ( ! [X8,X9] : (vapp(ve1app,ve2app) != vapp(X8,X9) | sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) = X9) ) | ~spl85_756), 5.14/5.33 inference(avatar_component_clause,[],[f9337])). 5.14/5.33 fof(f9339,plain,( 5.14/5.33 spl85_756 | ~spl85_92 | ~spl85_724), 5.14/5.33 inference(avatar_split_clause,[],[f9212,f9196,f1116,f9337])). 5.14/5.33 fof(f9363,plain,( 5.14/5.33 ve2app = sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) | ~spl85_756), 5.14/5.33 inference(equality_resolution,[],[f9338])). 5.14/5.33 fof(f9386,plain,( 5.14/5.33 spl85_760 <=> ve2app = sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_760])])). 5.14/5.33 fof(f9387,plain,( 5.14/5.33 ve2app = sK35(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)) | ~spl85_760), 5.14/5.33 inference(avatar_component_clause,[],[f9386])). 5.14/5.33 fof(f9388,plain,( 5.14/5.33 spl85_760 | ~spl85_756), 5.14/5.33 inference(avatar_split_clause,[],[f9363,f9337,f9386])). 5.14/5.33 fof(f9432,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve2app,sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | vapp(ve1app,ve2app) = vvar(sK33(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | ~vtcheck(vbind(sK0,sK1,sK2),vapp(ve1app,ve2app),sK3) | vapp(ve1app,ve2app) = vabs(sK37(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK39(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK38(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_370 | ~spl85_760)), 5.14/5.33 inference(superposition,[],[f2239,f9387])). 5.14/5.33 fof(f9437,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve2app,sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | ~vtcheck(vbind(sK0,sK1,sK2),vapp(ve1app,ve2app),sK3) | vapp(ve1app,ve2app) = vabs(sK37(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK39(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK38(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_38 | ~spl85_370 | ~spl85_760)), 5.14/5.33 inference(subsumption_resolution,[],[f9432,f999])). 5.14/5.33 fof(f9438,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve2app,sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | vapp(ve1app,ve2app) = vabs(sK37(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK39(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK38(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_8 | ~spl85_38 | ~spl85_370 | ~spl85_760)), 5.14/5.33 inference(subsumption_resolution,[],[f9437,f939])). 5.14/5.33 fof(f9439,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve2app,sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_8 | ~spl85_38 | ~spl85_60 | ~spl85_370 | ~spl85_760)), 5.14/5.33 inference(subsumption_resolution,[],[f9438,f1043])). 5.14/5.33 fof(f9458,plain,( 5.14/5.33 spl85_762 <=> vtcheck(vbind(sK0,sK1,sK2),ve2app,sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_762])])). 5.14/5.33 fof(f9459,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve2app,sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | ~spl85_762), 5.14/5.33 inference(avatar_component_clause,[],[f9458])). 5.14/5.33 fof(f9460,plain,( 5.14/5.33 spl85_762 | ~spl85_8 | ~spl85_38 | ~spl85_60 | ~spl85_370 | ~spl85_760), 5.14/5.33 inference(avatar_split_clause,[],[f9439,f9386,f2238,f1042,f998,f938,f9458])). 5.14/5.33 fof(f9495,plain,( 5.14/5.33 visFreeVar(sK0,ve2app) | vtcheck(sK2,ve2app,sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | (~spl85_182 | ~spl85_762)), 5.14/5.33 inference(resolution,[],[f9459,f1358])). 5.14/5.33 fof(f9517,plain,( 5.14/5.33 spl85_764 <=> vtcheck(sK2,ve2app,sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_764])])). 5.14/5.33 fof(f9518,plain,( 5.14/5.33 vtcheck(sK2,ve2app,sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2))) | ~spl85_764), 5.14/5.33 inference(avatar_component_clause,[],[f9517])). 5.14/5.33 fof(f9520,plain,( 5.14/5.33 spl85_766 <=> visFreeVar(sK0,ve2app)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_766])])). 5.14/5.33 fof(f9521,plain,( 5.14/5.33 visFreeVar(sK0,ve2app) | ~spl85_766), 5.14/5.33 inference(avatar_component_clause,[],[f9520])). 5.14/5.33 fof(f9522,plain,( 5.14/5.33 spl85_764 | spl85_766 | ~spl85_182 | ~spl85_762), 5.14/5.33 inference(avatar_split_clause,[],[f9495,f9458,f1357,f9520,f9517])). 5.14/5.33 fof(f9578,plain,( 5.14/5.33 spl85_768 <=> vtcheck(vbind(sK0,sK1,sK2),ve1app,varrow(sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK3))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_768])])). 5.14/5.33 fof(f9579,plain,( 5.14/5.33 vtcheck(vbind(sK0,sK1,sK2),ve1app,varrow(sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK3)) | ~spl85_768), 5.14/5.33 inference(avatar_component_clause,[],[f9578])). 5.14/5.33 fof(f9580,plain,( 5.14/5.33 spl85_768 | ~spl85_8 | ~spl85_38 | ~spl85_60 | ~spl85_404 | ~spl85_740), 5.14/5.33 inference(avatar_split_clause,[],[f9285,f9266,f2376,f1042,f998,f938,f9578])). 5.14/5.33 fof(f9610,plain,( 5.14/5.33 visFreeVar(sK0,ve1app) | vtcheck(sK2,ve1app,varrow(sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK3)) | (~spl85_178 | ~spl85_768)), 5.14/5.33 inference(resolution,[],[f9579,f1350])). 5.14/5.33 fof(f9619,plain,( 5.14/5.33 spl85_774 <=> vtcheck(sK2,ve1app,varrow(sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK3))), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_774])])). 5.14/5.33 fof(f9620,plain,( 5.14/5.33 vtcheck(sK2,ve1app,varrow(sK36(vapp(ve1app,ve2app),sK3,vbind(sK0,sK1,sK2)),sK3)) | ~spl85_774), 5.14/5.33 inference(avatar_component_clause,[],[f9619])). 5.14/5.33 fof(f9622,plain,( 5.14/5.33 spl85_776 <=> visFreeVar(sK0,ve1app)), 5.14/5.33 introduced(avatar_definition,[new_symbols(naming,[spl85_776])])). 5.14/5.33 fof(f9623,plain,( 5.14/5.33 visFreeVar(sK0,ve1app) | ~spl85_776), 5.14/5.33 inference(avatar_component_clause,[],[f9622])). 5.14/5.33 fof(f9624,plain,( 5.14/5.33 spl85_774 | spl85_776 | ~spl85_178 | ~spl85_768), 5.14/5.33 inference(avatar_split_clause,[],[f9610,f9578,f1349,f9622,f9619])). 5.14/5.33 fof(f9634,plain,( 5.14/5.33 $false | (~spl85_3 | ~spl85_206 | ~spl85_764 | ~spl85_774)), 5.14/5.33 inference(unit_resulting_resolution,[],[f927,f9518,f9620,f1428])). 5.14/5.33 fof(f9640,plain,( 5.14/5.33 spl85_3 | ~spl85_206 | ~spl85_764 | ~spl85_774), 5.14/5.33 inference(avatar_contradiction_clause,[],[f9634])). 5.14/5.33 fof(f9664,plain,( 5.14/5.33 $false | (~spl85_1 | ~spl85_62 | ~spl85_766)), 5.14/5.33 inference(unit_resulting_resolution,[],[f923,f9521,f1047])). 5.14/5.33 fof(f9667,plain,( 5.14/5.33 spl85_1 | ~spl85_62 | ~spl85_766), 5.14/5.33 inference(avatar_contradiction_clause,[],[f9664])). 5.14/5.33 fof(f9718,plain,( 5.14/5.33 $false | (~spl85_1 | ~spl85_64 | ~spl85_776)), 5.14/5.33 inference(unit_resulting_resolution,[],[f923,f9623,f1051])). 5.14/5.33 fof(f9721,plain,( 5.14/5.33 spl85_1 | ~spl85_64 | ~spl85_776), 5.14/5.33 inference(avatar_contradiction_clause,[],[f9718])). 5.14/5.33 fof(f9722,plain,( 5.14/5.33 $false), 5.14/5.33 inference(avatar_sat_refutation,[],[f924,f928,f940,f1000,f1044,f1048,f1052,f1114,f1118,f1351,f1359,f1429,f2240,f2306,f2378,f9198,f9243,f9268,f9339,f9388,f9460,f9522,f9580,f9624,f9640,f9667,f9721])). 5.14/5.33 % SZS output end Proof for theBenchmark 5.14/5.33 % ------------------------------ 5.14/5.33 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 5.14/5.33 % Termination reason: Refutation 5.14/5.33 5.14/5.33 % Memory used [KB]: 20212 5.14/5.33 % Time elapsed: 1.037 s 5.14/5.33 % ------------------------------ 5.14/5.33 % ------------------------------ 5.14/5.33 % Success in time 5.091 s 5.14/5.34 EOF