0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire --mode casc -t %d %s 0.03/0.23 % Computer : n180.star.cs.uiowa.edu 0.03/0.23 % Model : x86_64 x86_64 0.03/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.23 % Memory : 32218.625MB 0.03/0.23 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.23 % CPULimit : 300 0.03/0.23 % DateTime : Sat Jul 14 05:47:10 CDT 2018 0.03/0.23 % CPUTime : 0.07/0.27 % dis+11_4_afr=on:afp=1000:afq=1.4:amm=off:anc=none:lcm=reverse:lma=on:lwlo=on:nm=6:newcnf=on:nwc=1:sd=2:ss=axioms:st=2.0:sp=reverse_arity_3 on theBenchmark 0.68/0.87 % Time limit reached! 0.68/0.87 % ------------------------------ 0.68/0.87 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 0.68/0.87 % Termination reason: Time limit 0.68/0.87 % Termination phase: Saturation 0.68/0.87 0.68/0.87 % Memory used [KB]: 19445 0.68/0.87 % Time elapsed: 0.600 s 0.68/0.87 % ------------------------------ 0.68/0.87 % ------------------------------ 0.68/0.90 % 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_3 on theBenchmark 1.28/1.50 % Time limit reached! 1.28/1.50 % ------------------------------ 1.28/1.50 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.28/1.50 % Termination reason: Time limit 1.28/1.50 % Termination phase: Saturation 1.28/1.50 1.28/1.50 % Memory used [KB]: 13816 1.28/1.50 % Time elapsed: 0.600 s 1.28/1.50 % ------------------------------ 1.28/1.50 % ------------------------------ 1.33/1.54 % 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 1.92/2.14 % Time limit reached! 1.92/2.14 % ------------------------------ 1.92/2.14 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 1.92/2.14 % Termination reason: Time limit 1.92/2.14 % Termination phase: Saturation 1.92/2.14 1.92/2.14 % Memory used [KB]: 29295 1.92/2.14 % Time elapsed: 0.600 s 1.92/2.14 % ------------------------------ 1.92/2.14 % ------------------------------ 1.97/2.17 % ott+4_40_av=off:bce=on:cond=fast:fde=none:nm=0:nwc=1:sos=all:updr=off_2 on theBenchmark 2.45/2.67 % Time limit reached! 2.45/2.67 % ------------------------------ 2.45/2.67 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 2.45/2.67 % Termination reason: Time limit 2.45/2.67 % Termination phase: Saturation 2.45/2.67 2.45/2.67 % Memory used [KB]: 25841 2.45/2.67 % Time elapsed: 0.500 s 2.45/2.67 % ------------------------------ 2.45/2.67 % ------------------------------ 2.52/2.71 % dis+11_10_av=off:lma=on:nm=64:nwc=5:sp=reverse_arity_3 on theBenchmark 3.13/3.31 % Time limit reached! 3.13/3.31 % ------------------------------ 3.13/3.31 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 3.13/3.31 % Termination reason: Time limit 3.13/3.31 % Termination phase: Saturation 3.13/3.31 3.13/3.31 % Memory used [KB]: 9338 3.13/3.31 % Time elapsed: 0.600 s 3.13/3.31 % ------------------------------ 3.13/3.31 % ------------------------------ 3.13/3.34 % 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 6.08/6.24 % Time limit reached! 6.08/6.24 % ------------------------------ 6.08/6.24 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.08/6.24 % Termination reason: Time limit 6.08/6.24 % Termination phase: Saturation 6.08/6.24 6.08/6.24 % Memory used [KB]: 33133 6.08/6.24 % Time elapsed: 2.900 s 6.08/6.24 % ------------------------------ 6.08/6.24 % ------------------------------ 6.08/6.28 % lrs+2_3:1_afp=1000:afq=2.0:amm=off:anc=none:bs=unit_only:bsr=on:cond=on:gs=on:gsem=off:irw=on:lcm=predicate:lma=on:nm=6:newcnf=on:nwc=1:nicw=on:sas=z3:stl=30:sd=2:ss=axioms:sac=on:sp=reverse_arity:urr=ec_only:updr=off_3 on theBenchmark 6.67/6.88 % Time limit reached! 6.67/6.88 % ------------------------------ 6.67/6.88 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 6.67/6.88 % Termination reason: Time limit 6.67/6.88 % Termination phase: Saturation 6.67/6.88 6.67/6.88 % Memory used [KB]: 21108 6.67/6.88 % Time elapsed: 0.600 s 6.67/6.88 % ------------------------------ 6.67/6.88 % ------------------------------ 6.73/6.92 % dis+11_5_afp=40000:afq=1.4:anc=none:br=off:cond=on:fsr=off:irw=on:lma=on:nm=4:nwc=1:sd=3:ss=axioms:st=2.0:urr=on:updr=off_6 on theBenchmark 7.69/7.92 % Time limit reached! 7.69/7.92 % ------------------------------ 7.69/7.92 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 7.69/7.92 % Termination reason: Time limit 7.69/7.92 % Termination phase: Saturation 7.69/7.92 7.69/7.92 % Memory used [KB]: 48997 7.69/7.92 % Time elapsed: 1.0000 s 7.69/7.92 % ------------------------------ 7.69/7.92 % ------------------------------ 7.77/7.95 % dis+1002_7_acc=on:afp=4000:afq=2.0:amm=sco:anc=none:cond=fast:fsr=off:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:newcnf=on:nwc=1.1:nicw=on:sos=on:sac=on:sp=reverse_arity:urr=ec_only:updr=off_3 on theBenchmark 8.38/8.55 % Time limit reached! 8.38/8.55 % ------------------------------ 8.38/8.55 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 8.38/8.55 % Termination reason: Time limit 8.38/8.55 % Termination phase: Saturation 8.38/8.55 8.38/8.55 % Memory used [KB]: 11385 8.38/8.55 % Time elapsed: 0.600 s 8.38/8.55 % ------------------------------ 8.38/8.55 % ------------------------------ 8.40/8.59 % ott+1002_128_av=off:bd=off:bs=on:bsr=on:cond=on:fsr=off:nm=6:newcnf=on:nwc=1:sp=reverse_arity:updr=off_10 on theBenchmark 9.92/10.09 % Time limit reached! 9.92/10.09 % ------------------------------ 9.92/10.09 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 9.92/10.09 % Termination reason: Time limit 9.92/10.09 % Termination phase: Saturation 9.92/10.09 9.92/10.09 % Memory used [KB]: 39914 9.92/10.09 % Time elapsed: 1.500 s 9.92/10.09 % ------------------------------ 9.92/10.09 % ------------------------------ 9.92/10.13 % lrs-11_8_afr=on:afp=100000:afq=2.0:anc=none:bd=off:cond=on:gs=on:lma=on:nm=2:newcnf=on:nwc=3:stl=30:sac=on:sp=occurrence_19 on theBenchmark 12.52/12.72 % Time limit reached! 12.52/12.72 % ------------------------------ 12.52/12.72 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 12.52/12.72 % Termination reason: Time limit 12.52/12.72 % Termination phase: Saturation 12.52/12.72 12.52/12.72 % Memory used [KB]: 11385 12.52/12.72 % Time elapsed: 2.600 s 12.52/12.72 % ------------------------------ 12.52/12.72 % ------------------------------ 12.60/12.76 % lrs+1002_8_add=large:afp=40000:afq=1.0:amm=off:anc=none:cond=on:gs=on:irw=on:nm=16:newcnf=on:nwc=1:stl=30:sos=on:sp=reverse_arity:updr=off_6 on theBenchmark 13.61/13.76 % Time limit reached! 13.61/13.76 % ------------------------------ 13.61/13.76 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 13.61/13.76 % Termination reason: Time limit 13.61/13.76 % Termination phase: Saturation 13.61/13.76 13.61/13.76 % Memory used [KB]: 12153 13.61/13.76 % Time elapsed: 1.0000 s 13.61/13.76 % ------------------------------ 13.61/13.76 % ------------------------------ 13.61/13.79 % 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 14.45/14.59 % Time limit reached! 14.45/14.59 % ------------------------------ 14.45/14.59 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 14.45/14.59 % Termination reason: Time limit 14.45/14.59 % Termination phase: Saturation 14.45/14.59 14.45/14.59 % Memory used [KB]: 16375 14.45/14.59 % Time elapsed: 0.800 s 14.45/14.59 % ------------------------------ 14.45/14.59 % ------------------------------ 14.45/14.63 % lrs+1011_7_afp=100000:afq=1.0:amm=sco:anc=all_dependent:bs=unit_only:bsr=on:ep=RS:fde=none:gsp=input_only:gs=on:gsem=off:lwlo=on:nm=4:nwc=1:stl=120:sos=theory:sp=occurrence:uhcvi=on_17 on theBenchmark 16.87/17.03 % Time limit reached! 16.87/17.03 % ------------------------------ 16.87/17.03 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.87/17.03 % Termination reason: Time limit 16.87/17.03 % Termination phase: Saturation 16.87/17.03 16.87/17.03 % Memory used [KB]: 48485 16.87/17.03 % Time elapsed: 2.400 s 16.87/17.03 % ------------------------------ 16.87/17.03 % ------------------------------ 16.93/17.07 % dis+10_128_acc=on:add=off:afp=4000:afq=1.4:amm=off:bd=preordered:bce=on:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark 16.93/17.56 % Time limit reached! 16.93/17.56 % ------------------------------ 16.93/17.56 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 16.93/17.56 % Termination reason: Time limit 16.93/17.56 % Termination phase: Saturation 16.93/17.56 16.93/17.56 % Memory used [KB]: 25585 16.93/17.56 % Time elapsed: 0.500 s 16.93/17.56 % ------------------------------ 16.93/17.56 % ------------------------------ 17.46/17.60 % ott+1_8_av=off:bd=off:bs=on:cond=on:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:lwlo=on:nwc=1:sos=on_10 on theBenchmark 17.89/18.02 % Refutation found. Thanks to Tanya! 17.89/18.02 % SZS status Theorem for theBenchmark 17.89/18.02 % SZS output start Proof for theBenchmark 17.89/18.02 fof(f2,axiom,( 17.89/18.02 ! [X2,X7,X8,X4,X5,X9,X10,X1,X11,X12] : ((X7 = X9 & vabs(X1,X10,X12) = X8 & X2 = X5) => ((X1 != X5 & visFreeVar(X1,X9) & vgensym(vapp(vapp(X9,X12),vvar(X5))) = X11) => (vsubst(X2,X7,X8) = X4 => vsubst(X5,X9,vabs(X11,X10,vsubst(X1,vvar(X11),X12))) = X4)))), 17.89/18.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst4)). 17.89/18.02 fof(f22,axiom,( 17.89/18.02 ! [X24,X9] : (vgensym(X9) = X24 => ~visFreeVar(X24,X9))), 17.89/18.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gensym-is-fresh')). 17.89/18.02 fof(f44,axiom,( 17.89/18.02 ! [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)))))), 17.89/18.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar2)). 17.89/18.02 fof(f56,axiom,( 17.89/18.02 ! [X9,X6,X12,X10] : ((valphaEquivalent(X9,X12) & vtcheck(X6,X9,X10)) => vtcheck(X6,X12,X10))), 17.89/18.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','alpha-equiv-typing')). 17.89/18.02 fof(f58,axiom,( 17.89/18.02 ! [X29,X5,X1,X9] : (~visFreeVar(X1,X9) => valphaEquivalent(vabs(X5,X29,X9),vabs(X1,X29,vsubst(X5,vvar(X1),X9))))), 17.89/18.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','alpha-equiv-subst-abs')). 17.89/18.02 fof(f62,conjecture,( 17.89/18.02 ! [X10,X6,X5,X9,X1,X29,X32] : ((vtcheck(vbind(X5,X10,X6),vabs(X1,X29,veabs),X32) & vtcheck(X6,X9,X10) & visFreeVar(X1,X9) & X1 != X5) => vtcheck(X6,vsubst(X5,X9,vabs(X1,X29,veabs)),X32))), 17.89/18.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-3')). 17.89/18.02 fof(f63,negated_conjecture,( 17.89/18.02 ~! [X10,X6,X5,X9,X1,X29,X32] : ((vtcheck(vbind(X5,X10,X6),vabs(X1,X29,veabs),X32) & vtcheck(X6,X9,X10) & visFreeVar(X1,X9) & X1 != X5) => vtcheck(X6,vsubst(X5,X9,vabs(X1,X29,veabs)),X32))), 17.89/18.02 inference(negated_conjecture,[],[f62])). 17.89/18.02 fof(f65,axiom,( 17.89/18.02 ! [X9,X5,X11,X12] : (vgensym(vapp(vapp(X9,X12),vvar(X5))) = X11 => ~visFreeVar(X11,X12))), 17.89/18.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-free-2')). 17.89/18.02 fof(f67,axiom,( 17.89/18.02 ! [X9,X12,X5,X11] : (vgensym(vapp(vapp(X9,X12),vvar(X5))) = X11 => X5 != X11)), 17.89/18.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-unequal-var-3')). 17.89/18.02 fof(f68,axiom,( 17.89/18.02 ! [X10,X6,X5,X9,X1,X29,X12,X32] : ((~visFreeVar(X1,X9) & vtcheck(X6,X9,X10) & vtcheck(vbind(X5,X10,X6),vabs(X1,X29,X12),X32) & X1 != X5) => vtcheck(X6,vsubst(X5,X9,vabs(X1,X29,X12)),X32))), 17.89/18.02 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-2-gen')). 17.89/18.02 fof(f69,plain,( 17.89/18.02 ~! [X0,X1,X2,X3,X4,X5,X6] : ((vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) & vtcheck(X1,X3,X0) & visFreeVar(X4,X3) & X2 != X4) => vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6))), 17.89/18.02 inference(rectify,[],[f63])). 17.89/18.02 fof(f85,plain,( 17.89/18.02 ! [X0,X1] : (vgensym(X1) = X0 => ~visFreeVar(X0,X1))), 17.89/18.02 inference(rectify,[],[f22])). 17.89/18.02 fof(f101,plain,( 17.89/18.02 ! [X0,X1,X2,X3] : (~visFreeVar(X2,X3) => valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))))), 17.89/18.02 inference(rectify,[],[f58])). 17.89/18.02 fof(f104,plain,( 17.89/18.02 ! [X0,X1,X2,X3] : (vgensym(vapp(vapp(X0,X1),vvar(X2))) = X3 => X2 != X3)), 17.89/18.02 inference(rectify,[],[f67])). 17.89/18.02 fof(f105,plain,( 17.89/18.02 ! [X0,X1,X2,X3] : (vgensym(vapp(vapp(X0,X3),vvar(X1))) = X2 => ~visFreeVar(X2,X3))), 17.89/18.02 inference(rectify,[],[f65])). 17.89/18.02 fof(f108,plain,( 17.89/18.02 ! [X0,X1,X2,X3] : ((valphaEquivalent(X0,X2) & vtcheck(X1,X0,X3)) => vtcheck(X1,X2,X3))), 17.89/18.02 inference(rectify,[],[f56])). 17.89/18.02 fof(f113,plain,( 17.89/18.02 ! [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)))))), 17.89/18.02 inference(rectify,[],[f44])). 17.89/18.02 fof(f130,plain,( 17.89/18.02 ! [X0,X1,X2,X3,X4,X5,X6,X7] : ((~visFreeVar(X4,X3) & vtcheck(X1,X3,X0) & vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) & X2 != X4) => vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7))), 17.89/18.02 inference(rectify,[],[f68])). 17.89/18.02 fof(f134,plain,( 17.89/18.02 ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : ((X1 = X5 & vabs(X7,X6,X9) = X2 & X0 = X4) => ((X4 != X7 & visFreeVar(X7,X5) & vgensym(vapp(vapp(X5,X9),vvar(X4))) = X8) => (vsubst(X0,X1,X2) = X3 => vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3)))), 17.89/18.02 inference(rectify,[],[f2])). 17.89/18.02 fof(f135,plain,( 17.89/18.02 ? [X0,X1,X2,X3,X4,X5,X6] : (~vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) & (vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) & vtcheck(X1,X3,X0) & visFreeVar(X4,X3) & X2 != X4))), 17.89/18.02 inference(ennf_transformation,[],[f69])). 17.89/18.02 fof(f136,plain,( 17.89/18.02 ? [X0,X1,X2,X3,X4,X5,X6] : (~vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) & vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) & vtcheck(X1,X3,X0) & visFreeVar(X4,X3) & X2 != X4)), 17.89/18.02 inference(flattening,[],[f135])). 17.89/18.02 fof(f146,plain,( 17.89/18.02 ! [X0,X1] : (~visFreeVar(X0,X1) | vgensym(X1) != X0)), 17.89/18.02 inference(ennf_transformation,[],[f85])). 17.89/18.02 fof(f169,plain,( 17.89/18.02 ! [X0,X1,X2,X3] : (valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) | visFreeVar(X2,X3))), 17.89/18.02 inference(ennf_transformation,[],[f101])). 17.89/18.02 fof(f173,plain,( 17.89/18.02 ! [X0,X1,X2,X3] : (X2 != X3 | vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3)), 17.89/18.02 inference(ennf_transformation,[],[f104])). 17.89/18.02 fof(f174,plain,( 17.89/18.02 ! [X0,X1,X2,X3] : (~visFreeVar(X2,X3) | vgensym(vapp(vapp(X0,X3),vvar(X1))) != X2)), 17.89/18.02 inference(ennf_transformation,[],[f105])). 17.89/18.02 fof(f179,plain,( 17.89/18.02 ! [X0,X1,X2,X3] : (vtcheck(X1,X2,X3) | (~valphaEquivalent(X0,X2) | ~vtcheck(X1,X0,X3)))), 17.89/18.02 inference(ennf_transformation,[],[f108])). 17.89/18.02 fof(f180,plain,( 17.89/18.02 ! [X0,X1,X2,X3] : (vtcheck(X1,X2,X3) | ~valphaEquivalent(X0,X2) | ~vtcheck(X1,X0,X3))), 17.89/18.02 inference(flattening,[],[f179])). 17.89/18.02 fof(f186,plain,( 17.89/18.02 ! [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))), 17.89/18.02 inference(ennf_transformation,[],[f113])). 17.89/18.02 fof(f187,plain,( 17.89/18.02 ! [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)), 17.89/18.02 inference(flattening,[],[f186])). 17.89/18.02 fof(f222,plain,( 17.89/18.02 ! [X0,X1,X2,X3,X4,X5,X6,X7] : (vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) | (visFreeVar(X4,X3) | ~vtcheck(X1,X3,X0) | ~vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) | X2 = X4))), 17.89/18.02 inference(ennf_transformation,[],[f130])). 17.89/18.02 fof(f223,plain,( 17.89/18.02 ! [X0,X1,X2,X3,X4,X5,X6,X7] : (vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) | visFreeVar(X4,X3) | ~vtcheck(X1,X3,X0) | ~vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) | X2 = X4)), 17.89/18.02 inference(flattening,[],[f222])). 17.89/18.02 fof(f230,plain,( 17.89/18.02 ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : (((vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3 | vsubst(X0,X1,X2) != X3) | (X4 = X7 | ~visFreeVar(X7,X5) | vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8)) | (X1 != X5 | vabs(X7,X6,X9) != X2 | X0 != X4))), 17.89/18.02 inference(ennf_transformation,[],[f134])). 17.89/18.02 fof(f231,plain,( 17.89/18.02 ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9] : (vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3 | vsubst(X0,X1,X2) != X3 | X4 = X7 | ~visFreeVar(X7,X5) | vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8 | X1 != X5 | vabs(X7,X6,X9) != X2 | X0 != X4)), 17.89/18.02 inference(flattening,[],[f230])). 17.89/18.02 fof(f249,plain,( 17.89/18.02 ? [X0,X1,X2,X3,X4,X5,X6] : (~vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,veabs)),X6) & vtcheck(vbind(X2,X0,X1),vabs(X4,X5,veabs),X6) & vtcheck(X1,X3,X0) & visFreeVar(X4,X3) & X2 != X4) => (~vtcheck(sK14,vsubst(sK15,sK16,vabs(sK17,sK18,veabs)),sK19) & vtcheck(vbind(sK15,sK13,sK14),vabs(sK17,sK18,veabs),sK19) & vtcheck(sK14,sK16,sK13) & visFreeVar(sK17,sK16) & sK15 != sK17)), 17.89/18.02 introduced(choice_axiom,[])). 17.89/18.02 fof(f250,plain,( 17.89/18.02 ~vtcheck(sK14,vsubst(sK15,sK16,vabs(sK17,sK18,veabs)),sK19) & vtcheck(vbind(sK15,sK13,sK14),vabs(sK17,sK18,veabs),sK19) & vtcheck(sK14,sK16,sK13) & visFreeVar(sK17,sK16) & sK15 != sK17), 17.89/18.02 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19])],[f136,f249])). 17.89/18.02 fof(f320,plain,( 17.89/18.02 sK15 != sK17), 17.89/18.02 inference(cnf_transformation,[],[f250])). 17.89/18.02 fof(f321,plain,( 17.89/18.02 visFreeVar(sK17,sK16)), 17.89/18.02 inference(cnf_transformation,[],[f250])). 17.89/18.02 fof(f322,plain,( 17.89/18.02 vtcheck(sK14,sK16,sK13)), 17.89/18.02 inference(cnf_transformation,[],[f250])). 17.89/18.02 fof(f323,plain,( 17.89/18.02 vtcheck(vbind(sK15,sK13,sK14),vabs(sK17,sK18,veabs),sK19)), 17.89/18.02 inference(cnf_transformation,[],[f250])). 17.89/18.02 fof(f324,plain,( 17.89/18.02 ~vtcheck(sK14,vsubst(sK15,sK16,vabs(sK17,sK18,veabs)),sK19)), 17.89/18.02 inference(cnf_transformation,[],[f250])). 17.89/18.02 fof(f343,plain,( 17.89/18.02 ( ! [X0,X1] : (~visFreeVar(X0,X1) | vgensym(X1) != X0) )), 17.89/18.02 inference(cnf_transformation,[],[f146])). 17.89/18.02 fof(f408,plain,( 17.89/18.02 ( ! [X2,X0,X3,X1] : (valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) | visFreeVar(X2,X3)) )), 17.89/18.02 inference(cnf_transformation,[],[f169])). 17.89/18.02 fof(f442,plain,( 17.89/18.02 ( ! [X2,X0,X3,X1] : (X2 != X3 | vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3) )), 17.89/18.02 inference(cnf_transformation,[],[f173])). 17.89/18.02 fof(f443,plain,( 17.89/18.02 ( ! [X2,X0,X3,X1] : (~visFreeVar(X2,X3) | vgensym(vapp(vapp(X0,X3),vvar(X1))) != X2) )), 17.89/18.02 inference(cnf_transformation,[],[f174])). 17.89/18.02 fof(f447,plain,( 17.89/18.02 ( ! [X2,X0,X3,X1] : (~vtcheck(X1,X0,X3) | ~valphaEquivalent(X0,X2) | vtcheck(X1,X2,X3)) )), 17.89/18.02 inference(cnf_transformation,[],[f180])). 17.89/18.02 fof(f453,plain,( 17.89/18.02 ( ! [X4,X2,X0,X3,X1] : (visFreeVar(X0,X1) | ~visFreeVar(X3,X2) | vapp(X2,X4) != X1 | X0 != X3) )), 17.89/18.02 inference(cnf_transformation,[],[f187])). 17.89/18.02 fof(f480,plain,( 17.89/18.02 ( ! [X6,X4,X2,X0,X7,X5,X3,X1] : (~vtcheck(X1,X3,X0) | visFreeVar(X4,X3) | vtcheck(X1,vsubst(X2,X3,vabs(X4,X5,X6)),X7) | ~vtcheck(vbind(X2,X0,X1),vabs(X4,X5,X6),X7) | X2 = X4) )), 17.89/18.02 inference(cnf_transformation,[],[f223])). 17.89/18.02 fof(f484,plain,( 17.89/18.02 ( ! [X6,X4,X2,X0,X8,X7,X5,X3,X1,X9] : (vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) = X3 | vsubst(X0,X1,X2) != X3 | X4 = X7 | ~visFreeVar(X7,X5) | vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8 | X1 != X5 | vabs(X7,X6,X9) != X2 | X0 != X4) )), 17.89/18.02 inference(cnf_transformation,[],[f231])). 17.89/18.02 fof(f493,plain,( 17.89/18.02 ( ! [X1] : (~visFreeVar(vgensym(X1),X1)) )), 17.89/18.02 inference(equality_resolution,[],[f343])). 17.89/18.02 fof(f517,plain,( 17.89/18.02 ( ! [X0,X3,X1] : (vgensym(vapp(vapp(X0,X1),vvar(X3))) != X3) )), 17.89/18.02 inference(equality_resolution,[],[f442])). 17.89/18.02 fof(f518,plain,( 17.89/18.02 ( ! [X0,X3,X1] : (~visFreeVar(vgensym(vapp(vapp(X0,X3),vvar(X1))),X3)) )), 17.89/18.02 inference(equality_resolution,[],[f443])). 17.89/18.02 fof(f531,plain,( 17.89/18.02 ( ! [X4,X2,X0,X3] : (visFreeVar(X0,vapp(X2,X4)) | ~visFreeVar(X3,X2) | X0 != X3) )), 17.89/18.02 inference(equality_resolution,[],[f453])). 17.89/18.02 fof(f532,plain,( 17.89/18.02 ( ! [X4,X2,X3] : (~visFreeVar(X3,X2) | visFreeVar(X3,vapp(X2,X4))) )), 17.89/18.02 inference(equality_resolution,[],[f531])). 17.89/18.02 fof(f593,plain,( 17.89/18.02 ( ! [X6,X4,X2,X0,X8,X7,X5,X1,X9] : (vsubst(X0,X1,X2) = vsubst(X4,X5,vabs(X8,X6,vsubst(X7,vvar(X8),X9))) | X4 = X7 | ~visFreeVar(X7,X5) | vgensym(vapp(vapp(X5,X9),vvar(X4))) != X8 | X1 != X5 | vabs(X7,X6,X9) != X2 | X0 != X4) )), 17.89/18.02 inference(equality_resolution,[],[f484])). 17.89/18.02 fof(f594,plain,( 17.89/18.02 ( ! [X6,X4,X2,X0,X7,X5,X1,X9] : (vsubst(X0,X1,X2) = vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) | X4 = X7 | ~visFreeVar(X7,X5) | X1 != X5 | vabs(X7,X6,X9) != X2 | X0 != X4) )), 17.89/18.02 inference(equality_resolution,[],[f593])). 17.89/18.02 fof(f595,plain,( 17.89/18.02 ( ! [X6,X4,X2,X0,X7,X5,X9] : (vsubst(X0,X5,X2) = vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) | X4 = X7 | ~visFreeVar(X7,X5) | vabs(X7,X6,X9) != X2 | X0 != X4) )), 17.89/18.02 inference(equality_resolution,[],[f594])). 17.89/18.02 fof(f596,plain,( 17.89/18.02 ( ! [X6,X4,X0,X7,X5,X9] : (vsubst(X0,X5,vabs(X7,X6,X9)) = vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9))) | X4 = X7 | ~visFreeVar(X7,X5) | X0 != X4) )), 17.89/18.02 inference(equality_resolution,[],[f595])). 17.89/18.02 fof(f597,plain,( 17.89/18.02 ( ! [X6,X4,X7,X5,X9] : (~visFreeVar(X7,X5) | X4 = X7 | vsubst(X4,X5,vabs(X7,X6,X9)) = vsubst(X4,X5,vabs(vgensym(vapp(vapp(X5,X9),vvar(X4))),X6,vsubst(X7,vvar(vgensym(vapp(vapp(X5,X9),vvar(X4)))),X9)))) )), 17.89/18.02 inference(equality_resolution,[],[f596])). 17.89/18.02 fof(f599,plain,( 17.89/18.02 ( ! [X2,X0,X1] : (vsubst(X0,sK16,vabs(sK17,X1,X2)) = vsubst(X0,sK16,vabs(vgensym(vapp(vapp(sK16,X2),vvar(X0))),X1,vsubst(sK17,vvar(vgensym(vapp(vapp(sK16,X2),vvar(X0)))),X2))) | sK17 = X0) )), 17.89/18.02 inference(resolution,[],[f321,f597])). 17.89/18.02 fof(f612,plain,( 17.89/18.02 ( ! [X6,X8,X7,X5,X9] : (~vtcheck(vbind(X6,sK13,sK14),vabs(X5,X7,X8),X9) | vtcheck(sK14,vsubst(X6,sK16,vabs(X5,X7,X8)),X9) | visFreeVar(X5,sK16) | X5 = X6) )), 17.89/18.02 inference(resolution,[],[f322,f480])). 17.89/18.02 fof(f658,plain,( 17.89/18.02 ( ! [X0] : (~valphaEquivalent(vabs(sK17,sK18,veabs),X0) | vtcheck(vbind(sK15,sK13,sK14),X0,sK19)) )), 17.89/18.02 inference(resolution,[],[f323,f447])). 17.89/18.02 fof(f893,plain,( 17.89/18.02 ( ! [X0] : (vtcheck(vbind(sK15,sK13,sK14),vabs(X0,sK18,vsubst(sK17,vvar(X0),veabs)),sK19) | visFreeVar(X0,veabs)) )), 17.89/18.02 inference(resolution,[],[f658,f408])). 17.89/18.02 fof(f1892,plain,( 17.89/18.02 ( ! [X0] : (vtcheck(sK14,vsubst(sK15,sK16,vabs(X0,sK18,vsubst(sK17,vvar(X0),veabs))),sK19) | visFreeVar(X0,veabs) | visFreeVar(X0,sK16) | sK15 = X0) )), 17.89/18.02 inference(resolution,[],[f893,f612])). 17.89/18.02 fof(f6967,plain,( 17.89/18.02 vtcheck(sK14,vsubst(sK15,sK16,vabs(sK17,sK18,veabs)),sK19) | visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),veabs) | visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),sK16) | vgensym(vapp(vapp(sK16,veabs),vvar(sK15))) = sK15 | sK15 = sK17), 17.89/18.02 inference(superposition,[],[f1892,f599])). 17.89/18.02 fof(f6969,plain,( 17.89/18.02 visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),veabs) | visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),sK16) | vgensym(vapp(vapp(sK16,veabs),vvar(sK15))) = sK15 | sK15 = sK17), 17.89/18.02 inference(subsumption_resolution,[],[f6967,f324])). 17.89/18.02 fof(f6970,plain,( 17.89/18.02 visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),sK16) | vgensym(vapp(vapp(sK16,veabs),vvar(sK15))) = sK15 | sK15 = sK17), 17.89/18.02 inference(subsumption_resolution,[],[f6969,f518])). 17.89/18.02 fof(f6971,plain,( 17.89/18.02 visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),sK16) | sK15 = sK17), 17.89/18.02 inference(subsumption_resolution,[],[f6970,f517])). 17.89/18.02 fof(f6972,plain,( 17.89/18.02 visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),sK16)), 17.89/18.02 inference(subsumption_resolution,[],[f6971,f320])). 17.89/18.02 fof(f6975,plain,( 17.89/18.02 ( ! [X5] : (visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),vapp(sK16,X5))) )), 17.89/18.02 inference(resolution,[],[f6972,f532])). 17.89/18.02 fof(f6980,plain,( 17.89/18.02 ( ! [X8,X9] : (visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),vapp(vapp(sK16,X8),X9))) )), 17.89/18.02 inference(resolution,[],[f6975,f532])). 17.89/18.02 fof(f6989,plain,( 17.89/18.02 $false), 17.89/18.02 inference(resolution,[],[f6980,f493])). 17.89/18.02 % SZS output end Proof for theBenchmark 17.89/18.02 % ------------------------------ 17.89/18.02 % Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100) 17.89/18.02 % Termination reason: Refutation 17.89/18.02 17.89/18.02 % Memory used [KB]: 18549 17.89/18.02 % Time elapsed: 0.416 s 17.89/18.02 % ------------------------------ 17.89/18.02 % ------------------------------ 17.89/18.02 % Success in time 17.779 s 17.89/18.02 EOF