0.00/0.03 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.00/0.04 % Command : vampire -m 90000 --mode casc -t %d %s 0.03/0.22 % Computer : n125.star.cs.uiowa.edu 0.03/0.22 % Model : x86_64 x86_64 0.03/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz 0.03/0.22 % Memory : 32218.625MB 0.03/0.22 % OS : Linux 3.10.0-693.2.2.el7.x86_64 0.03/0.22 % CPULimit : 300 0.03/0.22 % DateTime : Sat Jul 14 05:47:25 CDT 2018 0.03/0.23 % CPUTime : 0.03/0.23 Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem! 0.03/0.23 % remaining time: 5999 next slice time: 4 0.03/0.26 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 0.54/0.76 % (32004)Time limit reached! 0.54/0.76 % ------------------------------ 0.54/0.76 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 0.54/0.76 % Termination reason: Time limit 0.54/0.76 % Termination phase: Saturation 0.54/0.76 0.54/0.76 % Memory used [KB]: 1407 0.54/0.76 % Time elapsed: 0.500 s 0.54/0.76 % ------------------------------ 0.54/0.76 % ------------------------------ 0.54/0.76 % remaining time: 5994 next slice time: 10 0.54/0.76 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 1.58/1.86 % (32005)Time limit reached! 1.58/1.86 % ------------------------------ 1.58/1.86 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.58/1.86 % Termination reason: Time limit 1.58/1.86 % Termination phase: Saturation 1.58/1.86 1.58/1.86 % Memory used [KB]: 35308 1.58/1.86 % Time elapsed: 1.100 s 1.58/1.86 % ------------------------------ 1.58/1.86 % ------------------------------ 1.58/1.86 % remaining time: 5983 next slice time: 4 1.58/1.87 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 1.68/2.37 % (32006)Time limit reached! 1.68/2.37 % ------------------------------ 1.68/2.37 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 1.68/2.37 % Termination reason: Time limit 1.68/2.37 % Termination phase: Saturation 1.68/2.37 1.68/2.37 % Memory used [KB]: 12665 1.68/2.37 % Time elapsed: 0.500 s 1.68/2.37 % ------------------------------ 1.68/2.37 % ------------------------------ 1.68/2.37 % remaining time: 5978 next slice time: 6 1.68/2.37 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 2.81/3.07 % (32007)Time limit reached! 2.81/3.07 % ------------------------------ 2.81/3.07 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 2.81/3.07 % Termination reason: Time limit 2.81/3.07 % Termination phase: Saturation 2.81/3.07 2.81/3.07 % Memory used [KB]: 36204 2.81/3.07 % Time elapsed: 0.700 s 2.81/3.07 % ------------------------------ 2.81/3.07 % ------------------------------ 2.81/3.07 % remaining time: 5971 next slice time: 6 2.81/3.07 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 3.49/3.77 % (32008)Time limit reached! 3.49/3.77 % ------------------------------ 3.49/3.77 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 3.49/3.77 % Termination reason: Time limit 3.49/3.77 % Termination phase: Saturation 3.49/3.77 3.49/3.77 % Memory used [KB]: 16630 3.49/3.77 % Time elapsed: 0.700 s 3.49/3.77 % ------------------------------ 3.49/3.77 % ------------------------------ 3.49/3.77 % remaining time: 5964 next slice time: 4 3.49/3.77 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 4.02/4.27 % (32009)Time limit reached! 4.02/4.27 % ------------------------------ 4.02/4.27 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 4.02/4.27 % Termination reason: Time limit 4.02/4.27 % Termination phase: Saturation 4.02/4.27 4.02/4.27 % Memory used [KB]: 35308 4.02/4.27 % Time elapsed: 0.500 s 4.02/4.27 % ------------------------------ 4.02/4.27 % ------------------------------ 4.02/4.28 % remaining time: 5959 next slice time: 23 4.02/4.28 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 6.43/6.68 % (32010)Time limit reached! 6.43/6.68 % ------------------------------ 6.43/6.68 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 6.43/6.68 % Termination reason: Time limit 6.43/6.68 % Termination phase: Saturation 6.43/6.68 6.43/6.68 % Memory used [KB]: 20596 6.43/6.68 % Time elapsed: 2.400 s 6.43/6.68 % ------------------------------ 6.43/6.68 % ------------------------------ 6.43/6.68 % remaining time: 5935 next slice time: 4 6.43/6.68 lrs+10_6_aac=none:acc=model:add=large:afr=on:afp=10000:afq=1.2:amm=off:anc=none:bd=off:ccuc=small_ones:irw=on:lcm=reverse:nm=0:nwc=1:nicw=on:stl=30:sos=on:sp=reverse_arity:updr=off_2 on theBenchmark 6.92/7.18 % (32011)Time limit reached! 6.92/7.18 % ------------------------------ 6.92/7.18 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 6.92/7.18 % Termination reason: Time limit 6.92/7.18 % Termination phase: Saturation 6.92/7.18 6.92/7.18 % Memory used [KB]: 33133 6.92/7.18 % Time elapsed: 0.500 s 6.92/7.18 % ------------------------------ 6.92/7.18 % ------------------------------ 7.02/7.18 % remaining time: 5930 next slice time: 7 7.02/7.18 dis+11_5_av=off:bd=off:bs=unit_only:bsr=on:cond=on:lcm=reverse:nm=0:nwc=1.2_5 on theBenchmark 7.74/7.98 % (32012)Time limit reached! 7.74/7.98 % ------------------------------ 7.74/7.98 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 7.74/7.98 % Termination reason: Time limit 7.74/7.98 % Termination phase: Saturation 7.74/7.98 7.74/7.98 % Memory used [KB]: 26737 7.74/7.98 % Time elapsed: 0.800 s 7.74/7.98 % ------------------------------ 7.74/7.98 % ------------------------------ 7.74/7.99 % remaining time: 5922 next slice time: 4 7.83/7.99 dis+11_32_av=off:ep=RST:fsr=off:lwlo=on:nm=6:nwc=1.1:sd=5:ss=axioms:st=5.0:sp=reverse_arity:uhcvi=on_2 on theBenchmark 8.25/8.49 % (32013)Time limit reached! 8.25/8.49 % ------------------------------ 8.25/8.49 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 8.25/8.49 % Termination reason: Time limit 8.25/8.49 % Termination phase: Saturation 8.25/8.49 8.25/8.49 % Memory used [KB]: 11769 8.25/8.49 % Time elapsed: 0.500 s 8.25/8.49 % ------------------------------ 8.25/8.49 % ------------------------------ 8.25/8.49 % remaining time: 5917 next slice time: 7 8.25/8.49 dis+1003_64_add=off:afr=on:afp=100000:afq=1.1:anc=none:cond=fast:fde=none:irw=on:nm=6:newcnf=on:nwc=1.3:uhcvi=on_5 on theBenchmark 9.13/9.29 % (32014)Time limit reached! 9.13/9.29 % ------------------------------ 9.13/9.29 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 9.13/9.29 % Termination reason: Time limit 9.13/9.29 % Termination phase: Saturation 9.13/9.29 9.13/9.29 % Memory used [KB]: 29295 9.13/9.29 % Time elapsed: 0.800 s 9.13/9.29 % ------------------------------ 9.13/9.29 % ------------------------------ 9.13/9.29 % remaining time: 5909 next slice time: 5 9.13/9.29 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 9.64/9.89 % (32015)Time limit reached! 9.64/9.89 % ------------------------------ 9.64/9.89 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 9.64/9.89 % Termination reason: Time limit 9.64/9.89 % Termination phase: Saturation 9.64/9.89 9.64/9.89 % Memory used [KB]: 16247 9.64/9.89 % Time elapsed: 0.600 s 9.64/9.89 % ------------------------------ 9.64/9.89 % ------------------------------ 9.64/9.89 % remaining time: 5903 next slice time: 87 9.75/9.89 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_82 on theBenchmark 18.49/18.69 % (32016)Time limit reached! 18.49/18.69 % ------------------------------ 18.49/18.69 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 18.49/18.69 % Termination reason: Time limit 18.49/18.69 % Termination phase: Saturation 18.49/18.69 18.49/18.69 % Memory used [KB]: 107460 18.49/18.69 % Time elapsed: 8.800 s 18.49/18.69 % ------------------------------ 18.49/18.69 % ------------------------------ 18.57/18.70 % remaining time: 5815 next slice time: 8 18.57/18.70 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 19.49/19.60 % (32017)Time limit reached! 19.49/19.60 % ------------------------------ 19.49/19.60 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 19.49/19.60 % Termination reason: Time limit 19.49/19.60 % Termination phase: Saturation 19.49/19.60 19.49/19.60 % Memory used [KB]: 12409 19.49/19.60 % Time elapsed: 0.900 s 19.49/19.60 % ------------------------------ 19.49/19.60 % ------------------------------ 19.49/19.60 % remaining time: 5806 next slice time: 54 19.49/19.60 lrs+1011_3:1_av=off:cond=on:irw=on:lma=on:nm=16:nwc=1:stl=30:sos=all:updr=off_51 on theBenchmark 25.00/25.10 % (32018)Time limit reached! 25.00/25.10 % ------------------------------ 25.00/25.10 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 25.00/25.10 % Termination reason: Time limit 25.00/25.10 % Termination phase: Saturation 25.00/25.10 25.00/25.10 % Memory used [KB]: 35436 25.00/25.10 % Time elapsed: 5.500 s 25.00/25.10 % ------------------------------ 25.00/25.10 % ------------------------------ 25.00/25.11 % remaining time: 5751 next slice time: 7 25.00/25.11 lrs+1_3:2_aac=none:add=large:anc=all_dependent:bce=on:cond=fast:ep=RST:fsr=off:lma=on:nm=2:nwc=1:stl=30:sos=on:sp=occurrence:urr=on:updr=off:uhcvi=on_5 on theBenchmark 25.80/25.91 % (32127)Time limit reached! 25.80/25.91 % ------------------------------ 25.80/25.91 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 25.80/25.91 % Termination reason: Time limit 25.80/25.91 % Termination phase: Saturation 25.80/25.91 25.80/25.91 % Memory used [KB]: 52323 25.80/25.91 % Time elapsed: 0.800 s 25.80/25.91 % ------------------------------ 25.80/25.91 % ------------------------------ 25.80/25.91 % remaining time: 5743 next slice time: 11 25.80/25.91 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 26.22/26.33 % Refutation found. Thanks to Tanya! 26.22/26.33 % SZS status Theorem for theBenchmark 26.22/26.33 % SZS output start Proof for theBenchmark 26.22/26.33 fof(f2,axiom,( 26.22/26.33 ! [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)))), 26.22/26.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',subst4)). 26.22/26.33 fof(f22,axiom,( 26.22/26.33 ! [X24,X9] : (vgensym(X9) = X24 => ~visFreeVar(X24,X9))), 26.22/26.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','gensym-is-fresh')). 26.22/26.33 fof(f44,axiom,( 26.22/26.33 ! [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)))))), 26.22/26.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',isFreeVar2)). 26.22/26.33 fof(f56,axiom,( 26.22/26.33 ! [X9,X6,X12,X10] : ((valphaEquivalent(X9,X12) & vtcheck(X6,X9,X10)) => vtcheck(X6,X12,X10))), 26.22/26.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','alpha-equiv-typing')). 26.22/26.33 fof(f58,axiom,( 26.22/26.33 ! [X29,X5,X1,X9] : (~visFreeVar(X1,X9) => valphaEquivalent(vabs(X5,X29,X9),vabs(X1,X29,vsubst(X5,vvar(X1),X9))))), 26.22/26.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','alpha-equiv-subst-abs')). 26.22/26.33 fof(f62,conjecture,( 26.22/26.33 ! [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))), 26.22/26.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-3')). 26.22/26.33 fof(f63,negated_conjecture,( 26.22/26.33 ~! [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))), 26.22/26.33 inference(negated_conjecture,[],[f62])). 26.22/26.33 fof(f65,axiom,( 26.22/26.33 ! [X9,X5,X11,X12] : (vgensym(vapp(vapp(X9,X12),vvar(X5))) = X11 => ~visFreeVar(X11,X12))), 26.22/26.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-free-2')). 26.22/26.33 fof(f67,axiom,( 26.22/26.33 ! [X9,X12,X5,X11] : (vgensym(vapp(vapp(X9,X12),vvar(X5))) = X11 => X5 != X11)), 26.22/26.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','fresh-unequal-var-3')). 26.22/26.33 fof(f68,axiom,( 26.22/26.33 ! [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))), 26.22/26.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p','T-subst-abs-2-gen')). 26.22/26.33 fof(f69,plain,( 26.22/26.33 ~! [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))), 26.22/26.33 inference(rectify,[],[f63])). 26.22/26.33 fof(f85,plain,( 26.22/26.33 ! [X0,X1] : (vgensym(X1) = X0 => ~visFreeVar(X0,X1))), 26.22/26.33 inference(rectify,[],[f22])). 26.22/26.33 fof(f101,plain,( 26.22/26.33 ! [X0,X1,X2,X3] : (~visFreeVar(X2,X3) => valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))))), 26.22/26.33 inference(rectify,[],[f58])). 26.22/26.33 fof(f104,plain,( 26.22/26.33 ! [X0,X1,X2,X3] : (vgensym(vapp(vapp(X0,X1),vvar(X2))) = X3 => X2 != X3)), 26.22/26.33 inference(rectify,[],[f67])). 26.22/26.33 fof(f105,plain,( 26.22/26.33 ! [X0,X1,X2,X3] : (vgensym(vapp(vapp(X0,X3),vvar(X1))) = X2 => ~visFreeVar(X2,X3))), 26.22/26.33 inference(rectify,[],[f65])). 26.22/26.33 fof(f108,plain,( 26.22/26.33 ! [X0,X1,X2,X3] : ((valphaEquivalent(X0,X2) & vtcheck(X1,X0,X3)) => vtcheck(X1,X2,X3))), 26.22/26.33 inference(rectify,[],[f56])). 26.22/26.33 fof(f113,plain,( 26.22/26.33 ! [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)))))), 26.22/26.33 inference(rectify,[],[f44])). 26.22/26.33 fof(f130,plain,( 26.22/26.33 ! [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))), 26.22/26.33 inference(rectify,[],[f68])). 26.22/26.33 fof(f134,plain,( 26.22/26.33 ! [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)))), 26.22/26.33 inference(rectify,[],[f2])). 26.22/26.33 fof(f135,plain,( 26.22/26.33 ? [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))), 26.22/26.33 inference(ennf_transformation,[],[f69])). 26.22/26.33 fof(f136,plain,( 26.22/26.33 ? [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)), 26.22/26.33 inference(flattening,[],[f135])). 26.22/26.33 fof(f146,plain,( 26.22/26.33 ! [X0,X1] : (~visFreeVar(X0,X1) | vgensym(X1) != X0)), 26.22/26.33 inference(ennf_transformation,[],[f85])). 26.22/26.33 fof(f169,plain,( 26.22/26.33 ! [X0,X1,X2,X3] : (valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) | visFreeVar(X2,X3))), 26.22/26.33 inference(ennf_transformation,[],[f101])). 26.22/26.33 fof(f173,plain,( 26.22/26.33 ! [X0,X1,X2,X3] : (X2 != X3 | vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3)), 26.22/26.33 inference(ennf_transformation,[],[f104])). 26.22/26.33 fof(f174,plain,( 26.22/26.33 ! [X0,X1,X2,X3] : (~visFreeVar(X2,X3) | vgensym(vapp(vapp(X0,X3),vvar(X1))) != X2)), 26.22/26.33 inference(ennf_transformation,[],[f105])). 26.22/26.33 fof(f179,plain,( 26.22/26.33 ! [X0,X1,X2,X3] : (vtcheck(X1,X2,X3) | (~valphaEquivalent(X0,X2) | ~vtcheck(X1,X0,X3)))), 26.22/26.33 inference(ennf_transformation,[],[f108])). 26.22/26.33 fof(f180,plain,( 26.22/26.33 ! [X0,X1,X2,X3] : (vtcheck(X1,X2,X3) | ~valphaEquivalent(X0,X2) | ~vtcheck(X1,X0,X3))), 26.22/26.33 inference(flattening,[],[f179])). 26.22/26.33 fof(f186,plain,( 26.22/26.33 ! [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))), 26.22/26.33 inference(ennf_transformation,[],[f113])). 26.22/26.33 fof(f187,plain,( 26.22/26.33 ! [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)), 26.22/26.33 inference(flattening,[],[f186])). 26.22/26.33 fof(f222,plain,( 26.22/26.33 ! [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))), 26.22/26.33 inference(ennf_transformation,[],[f130])). 26.22/26.33 fof(f223,plain,( 26.22/26.33 ! [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)), 26.22/26.33 inference(flattening,[],[f222])). 26.22/26.33 fof(f230,plain,( 26.22/26.33 ! [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))), 26.22/26.33 inference(ennf_transformation,[],[f134])). 26.22/26.33 fof(f231,plain,( 26.22/26.33 ! [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)), 26.22/26.33 inference(flattening,[],[f230])). 26.22/26.33 fof(f249,plain,( 26.22/26.33 ? [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)), 26.22/26.33 introduced(choice_axiom,[])). 26.22/26.33 fof(f250,plain,( 26.22/26.33 ~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), 26.22/26.33 inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14,sK15,sK16,sK17,sK18,sK19])],[f136,f249])). 26.22/26.33 fof(f320,plain,( 26.22/26.33 sK15 != sK17), 26.22/26.33 inference(cnf_transformation,[],[f250])). 26.22/26.33 fof(f321,plain,( 26.22/26.33 visFreeVar(sK17,sK16)), 26.22/26.33 inference(cnf_transformation,[],[f250])). 26.22/26.33 fof(f322,plain,( 26.22/26.33 vtcheck(sK14,sK16,sK13)), 26.22/26.33 inference(cnf_transformation,[],[f250])). 26.22/26.33 fof(f323,plain,( 26.22/26.33 vtcheck(vbind(sK15,sK13,sK14),vabs(sK17,sK18,veabs),sK19)), 26.22/26.33 inference(cnf_transformation,[],[f250])). 26.22/26.33 fof(f324,plain,( 26.22/26.33 ~vtcheck(sK14,vsubst(sK15,sK16,vabs(sK17,sK18,veabs)),sK19)), 26.22/26.33 inference(cnf_transformation,[],[f250])). 26.22/26.33 fof(f343,plain,( 26.22/26.33 ( ! [X0,X1] : (~visFreeVar(X0,X1) | vgensym(X1) != X0) )), 26.22/26.33 inference(cnf_transformation,[],[f146])). 26.22/26.33 fof(f408,plain,( 26.22/26.33 ( ! [X2,X0,X3,X1] : (valphaEquivalent(vabs(X1,X0,X3),vabs(X2,X0,vsubst(X1,vvar(X2),X3))) | visFreeVar(X2,X3)) )), 26.22/26.33 inference(cnf_transformation,[],[f169])). 26.22/26.33 fof(f442,plain,( 26.22/26.33 ( ! [X2,X0,X3,X1] : (X2 != X3 | vgensym(vapp(vapp(X0,X1),vvar(X2))) != X3) )), 26.22/26.33 inference(cnf_transformation,[],[f173])). 26.22/26.33 fof(f443,plain,( 26.22/26.33 ( ! [X2,X0,X3,X1] : (~visFreeVar(X2,X3) | vgensym(vapp(vapp(X0,X3),vvar(X1))) != X2) )), 26.22/26.33 inference(cnf_transformation,[],[f174])). 26.22/26.33 fof(f447,plain,( 26.22/26.33 ( ! [X2,X0,X3,X1] : (~vtcheck(X1,X0,X3) | ~valphaEquivalent(X0,X2) | vtcheck(X1,X2,X3)) )), 26.22/26.33 inference(cnf_transformation,[],[f180])). 26.22/26.33 fof(f453,plain,( 26.22/26.33 ( ! [X4,X2,X0,X3,X1] : (visFreeVar(X0,X1) | ~visFreeVar(X3,X2) | vapp(X2,X4) != X1 | X0 != X3) )), 26.22/26.33 inference(cnf_transformation,[],[f187])). 26.22/26.33 fof(f480,plain,( 26.22/26.33 ( ! [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) )), 26.22/26.33 inference(cnf_transformation,[],[f223])). 26.22/26.33 fof(f484,plain,( 26.22/26.33 ( ! [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) )), 26.22/26.33 inference(cnf_transformation,[],[f231])). 26.22/26.33 fof(f493,plain,( 26.22/26.33 ( ! [X1] : (~visFreeVar(vgensym(X1),X1)) )), 26.22/26.33 inference(equality_resolution,[],[f343])). 26.22/26.33 fof(f517,plain,( 26.22/26.33 ( ! [X0,X3,X1] : (vgensym(vapp(vapp(X0,X1),vvar(X3))) != X3) )), 26.22/26.33 inference(equality_resolution,[],[f442])). 26.22/26.33 fof(f518,plain,( 26.22/26.33 ( ! [X0,X3,X1] : (~visFreeVar(vgensym(vapp(vapp(X0,X3),vvar(X1))),X3)) )), 26.22/26.33 inference(equality_resolution,[],[f443])). 26.22/26.33 fof(f531,plain,( 26.22/26.33 ( ! [X4,X2,X0,X3] : (visFreeVar(X0,vapp(X2,X4)) | ~visFreeVar(X3,X2) | X0 != X3) )), 26.22/26.33 inference(equality_resolution,[],[f453])). 26.22/26.33 fof(f532,plain,( 26.22/26.33 ( ! [X4,X2,X3] : (~visFreeVar(X3,X2) | visFreeVar(X3,vapp(X2,X4))) )), 26.22/26.33 inference(equality_resolution,[],[f531])). 26.22/26.33 fof(f593,plain,( 26.22/26.33 ( ! [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) )), 26.22/26.33 inference(equality_resolution,[],[f484])). 26.22/26.33 fof(f594,plain,( 26.22/26.33 ( ! [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) )), 26.22/26.33 inference(equality_resolution,[],[f593])). 26.22/26.33 fof(f595,plain,( 26.22/26.33 ( ! [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) )), 26.22/26.33 inference(equality_resolution,[],[f594])). 26.22/26.33 fof(f596,plain,( 26.22/26.33 ( ! [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) )), 26.22/26.33 inference(equality_resolution,[],[f595])). 26.22/26.33 fof(f597,plain,( 26.22/26.33 ( ! [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)))) )), 26.22/26.33 inference(equality_resolution,[],[f596])). 26.22/26.33 fof(f599,plain,( 26.22/26.33 ( ! [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) )), 26.22/26.33 inference(resolution,[],[f321,f597])). 26.22/26.33 fof(f612,plain,( 26.22/26.33 ( ! [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) )), 26.22/26.33 inference(resolution,[],[f322,f480])). 26.22/26.33 fof(f658,plain,( 26.22/26.33 ( ! [X0] : (~valphaEquivalent(vabs(sK17,sK18,veabs),X0) | vtcheck(vbind(sK15,sK13,sK14),X0,sK19)) )), 26.22/26.33 inference(resolution,[],[f323,f447])). 26.22/26.33 fof(f893,plain,( 26.22/26.33 ( ! [X0] : (vtcheck(vbind(sK15,sK13,sK14),vabs(X0,sK18,vsubst(sK17,vvar(X0),veabs)),sK19) | visFreeVar(X0,veabs)) )), 26.22/26.33 inference(resolution,[],[f658,f408])). 26.22/26.33 fof(f1892,plain,( 26.22/26.33 ( ! [X0] : (vtcheck(sK14,vsubst(sK15,sK16,vabs(X0,sK18,vsubst(sK17,vvar(X0),veabs))),sK19) | visFreeVar(X0,veabs) | visFreeVar(X0,sK16) | sK15 = X0) )), 26.22/26.33 inference(resolution,[],[f893,f612])). 26.22/26.33 fof(f6967,plain,( 26.22/26.33 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), 26.22/26.33 inference(superposition,[],[f1892,f599])). 26.22/26.33 fof(f6969,plain,( 26.22/26.33 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), 26.22/26.33 inference(subsumption_resolution,[],[f6967,f324])). 26.22/26.33 fof(f6970,plain,( 26.22/26.33 visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),sK16) | vgensym(vapp(vapp(sK16,veabs),vvar(sK15))) = sK15 | sK15 = sK17), 26.22/26.33 inference(subsumption_resolution,[],[f6969,f518])). 26.22/26.33 fof(f6971,plain,( 26.22/26.33 visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),sK16) | sK15 = sK17), 26.22/26.33 inference(subsumption_resolution,[],[f6970,f517])). 26.22/26.33 fof(f6972,plain,( 26.22/26.33 visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),sK16)), 26.22/26.33 inference(subsumption_resolution,[],[f6971,f320])). 26.22/26.33 fof(f6975,plain,( 26.22/26.33 ( ! [X5] : (visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),vapp(sK16,X5))) )), 26.22/26.33 inference(resolution,[],[f6972,f532])). 26.22/26.33 fof(f6980,plain,( 26.22/26.33 ( ! [X8,X9] : (visFreeVar(vgensym(vapp(vapp(sK16,veabs),vvar(sK15))),vapp(vapp(sK16,X8),X9))) )), 26.22/26.33 inference(resolution,[],[f6975,f532])). 26.22/26.33 fof(f6989,plain,( 26.22/26.33 $false), 26.22/26.33 inference(resolution,[],[f6980,f493])). 26.22/26.33 % SZS output end Proof for theBenchmark 26.22/26.33 % ------------------------------ 26.22/26.33 % Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100) 26.22/26.33 % Termination reason: Refutation 26.22/26.33 26.22/26.33 % Memory used [KB]: 18933 26.22/26.33 % Time elapsed: 0.417 s 26.22/26.33 % ------------------------------ 26.22/26.33 % ------------------------------ 26.22/26.33 % Success in time 26.095 s 26.22/26.34 EOF