0.04/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.13/0.14	% Command    : run_vampire %s %d
0.13/0.35	% Computer   : n004.cluster.edu
0.13/0.35	% Model      : x86_64 x86_64
0.13/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory     : 8042.1875MB
0.13/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 960
0.13/0.35	% WCLimit    : 120
0.13/0.35	% DateTime   : Wed Jul  1 17:20:13 EDT 2020
0.20/0.35	% CPUTime    : 
0.20/0.38	% (19395)dis+1010_3:2_av=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.20/0.40	% (19388)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.20/0.40	% (19391)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.20/0.40	% (19394)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.20/0.40	% (19396)dis+1_2:3_acc=on:add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:amm=sco:anc=none:er=filter:fsr=off:gsp=input_only:gs=on:gsem=off:nm=64:newcnf=on:nwc=1_3 on theBenchmark
0.20/0.40	% (19397)dis+10_128_acc=on:add=off:add=off:afp=4000:afq=1.4:amm=off:bd=preordered: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_40 on theBenchmark
0.20/0.40	% (19408)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
0.20/0.41	% (19409)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on_8 on theBenchmark
0.20/0.41	% (19395)Refutation found. Thanks to Tanya!
0.20/0.41	% SZS status Theorem for theBenchmark
0.20/0.41	% SZS output start Proof for theBenchmark
0.20/0.41	tff(func_def_0, type, a: '$tType').
0.20/0.41	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
0.20/0.41	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.20/0.41	tff(func_def_6, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.20/0.41	tff(func_def_9, type, sK0: (a -> '$o') -> '$o').
0.20/0.41	tff(func_def_10, type, sK1: ((a -> '$o') -> a) -> a -> '$o').
0.20/0.41	tff(func_def_11, type, sK2: (a -> '$o') -> a).
0.20/0.41	tff(func_def_12, type, sK3: ((a -> '$o') -> a -> '$o') -> (a -> '$o') -> a).
0.20/0.41	tff(func_def_13, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.20/0.41	tff(func_def_14, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.41	tff(func_def_15, type, vAND: '$o' -> '$o' -> '$o').
0.20/0.41	tff(func_def_16, type, vOR: '$o' -> '$o' -> '$o').
0.20/0.41	tff(func_def_17, type, vIMP: '$o' -> '$o' -> '$o').
0.20/0.41	tff(func_def_18, type, vNOT: '$o' -> '$o').
0.20/0.41	tff(func_def_19, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.20/0.41	tff(func_def_20, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.41	tff(func_def_21, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.20/0.41	tff(func_def_22, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.20/0.41	tff(f1,conjecture,(
0.20/0.41	  ! [X4 : (a -> '$o') -> a -> '$o'] : ? [X5 : (a -> '$o') -> a] : ! [X6 : a -> '$o'] : (? [X7 : a] : X4 @ X6 @ X7 => X4 @ X6 @ (X5 @ X6)) => ! [X0 : (a -> '$o') -> '$o'] : (! [X2 : a -> '$o'] : (X0 @ X2 => ? [X3 : a] : X2 @ X3) => ? [X1 : (a -> '$o') -> a] : ! [X2 : a -> '$o'] : (X0 @ X2 => X2 @ (X1 @ X2)))),
0.20/0.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM533)).
0.20/0.41	tff(f2,negated_conjecture,(
0.20/0.41	  ~(! [X4 : (a -> '$o') -> a -> '$o'] : ? [X5 : (a -> '$o') -> a] : ! [X6 : a -> '$o'] : (? [X7 : a] : X4 @ X6 @ X7 => X4 @ X6 @ (X5 @ X6)) => ! [X0 : (a -> '$o') -> '$o'] : (! [X2 : a -> '$o'] : (X0 @ X2 => ? [X3 : a] : X2 @ X3) => ? [X1 : (a -> '$o') -> a] : ! [X2 : a -> '$o'] : (X0 @ X2 => X2 @ (X1 @ X2))))),
0.20/0.41	  inference(negated_conjecture,[],[f1])).
0.20/0.41	tff(f3,plain,(
0.20/0.41	  ~(! [X0 : (a -> '$o') -> a -> '$o'] : ? [X1 : (a -> '$o') -> a] : ! [X2 : a -> '$o'] : (? [X3 : a] : X0 @ X2 @ X3 => X0 @ X2 @ (X1 @ X2)) => ! [X4 : (a -> '$o') -> '$o'] : (! [X5 : a -> '$o'] : (X4 @ X5 => ? [X6 : a] : X5 @ X6) => ? [X7 : (a -> '$o') -> a] : ! [X8 : a -> '$o'] : (X4 @ X8 => X8 @ (X7 @ X8))))),
0.20/0.41	  inference(rectify,[],[f2])).
0.20/0.41	tff(f4,plain,(
0.20/0.41	  ~(! [X0 : (a -> '$o') -> a -> '$o'] : ? [X1 : (a -> '$o') -> a] : ! [X2 : a -> '$o'] : (? [X3 : a] : (X0 @ X2 @ X3 = $true) => (X0 @ X2 @ (X1 @ X2) = $true)) => ! [X4 : (a -> '$o') -> '$o'] : (! [X5 : a -> '$o'] : ((X4 @ X5 = $true) => ? [X6 : a] : (X5 @ X6 = $true)) => ? [X7 : (a -> '$o') -> a] : ! [X8 : a -> '$o'] : ((X4 @ X8 = $true) => (X8 @ (X7 @ X8) = $true))))),
0.20/0.41	  inference(fool_elimination,[],[f3])).
0.20/0.41	tff(f5,plain,(
0.20/0.41	  ? [X4 : (a -> '$o') -> '$o'] : (! [X7 : (a -> '$o') -> a] : ? [X8 : a -> '$o'] : ((X8 @ (X7 @ X8) != $true) & (X4 @ X8 = $true)) & ! [X5 : a -> '$o'] : (? [X6 : a] : (X5 @ X6 = $true) | (X4 @ X5 != $true))) & ! [X0 : (a -> '$o') -> a -> '$o'] : ? [X1 : (a -> '$o') -> a] : ! [X2 : a -> '$o'] : ((X0 @ X2 @ (X1 @ X2) = $true) | ! [X3 : a] : (X0 @ X2 @ X3 != $true))),
0.20/0.41	  inference(ennf_transformation,[],[f4])).
0.20/0.41	tff(f6,plain,(
0.20/0.41	  ? [X0 : (a -> '$o') -> '$o'] : (! [X1 : (a -> '$o') -> a] : ? [X2 : a -> '$o'] : ((X2 @ (X1 @ X2) != $true) & (X0 @ X2 = $true)) & ! [X3 : a -> '$o'] : (? [X4 : a] : (X3 @ X4 = $true) | (X0 @ X3 != $true))) & ! [X5 : (a -> '$o') -> a -> '$o'] : ? [X6 : (a -> '$o') -> a] : ! [X7 : a -> '$o'] : ((X5 @ X7 @ (X6 @ X7) = $true) | ! [X8 : a] : (X5 @ X7 @ X8 != $true))),
0.20/0.41	  inference(rectify,[],[f5])).
0.20/0.41	tff(f7,plain,(
0.20/0.41	  ? [X0 : (a -> '$o') -> '$o'] : (! [X1 : (a -> '$o') -> a] : ? [X2 : a -> '$o'] : ((X2 @ (X1 @ X2) != $true) & (X0 @ X2 = $true)) & ! [X3 : a -> '$o'] : (? [X4 : a] : (X3 @ X4 = $true) | (X0 @ X3 != $true))) => (! [X1 : (a -> '$o') -> a] : ? [X2 : a -> '$o'] : ((X2 @ (X1 @ X2) != $true) & (sK0 @ X2 = $true)) & ! [X3 : a -> '$o'] : (? [X4 : a] : (X3 @ X4 = $true) | (sK0 @ X3 != $true)))),
0.20/0.41	  introduced(choice_axiom,[])).
0.20/0.41	tff(f8,plain,(
0.20/0.41	  ! [X1 : (a -> '$o') -> a] : (? [X2 : a -> '$o'] : ((X2 @ (X1 @ X2) != $true) & (sK0 @ X2 = $true)) => ((sK1 @ X1 @ (X1 @ (sK1 @ X1)) != $true) & (sK0 @ (sK1 @ X1) = $true)))),
0.20/0.41	  introduced(choice_axiom,[])).
0.20/0.41	tff(f9,plain,(
0.20/0.41	  ! [X3 : a -> '$o'] : (? [X4 : a] : (X3 @ X4 = $true) => (X3 @ (sK2 @ X3) = $true))),
0.20/0.41	  introduced(choice_axiom,[])).
0.20/0.41	tff(f10,plain,(
0.20/0.41	  ! [X5 : (a -> '$o') -> a -> '$o'] : (? [X6 : (a -> '$o') -> a] : ! [X7 : a -> '$o'] : ((X5 @ X7 @ (X6 @ X7) = $true) | ! [X8 : a] : (X5 @ X7 @ X8 != $true)) => ! [X7 : a -> '$o'] : ((X5 @ X7 @ (sK3 @ X5 @ X7) = $true) | ! [X8 : a] : (X5 @ X7 @ X8 != $true)))),
0.20/0.41	  introduced(choice_axiom,[])).
0.20/0.41	tff(f11,plain,(
0.20/0.41	  (! [X1 : (a -> '$o') -> a] : ((sK1 @ X1 @ (X1 @ (sK1 @ X1)) != $true) & (sK0 @ (sK1 @ X1) = $true)) & ! [X3 : a -> '$o'] : ((X3 @ (sK2 @ X3) = $true) | (sK0 @ X3 != $true))) & ! [X5 : (a -> '$o') -> a -> '$o'] : ! [X7 : a -> '$o'] : ((X5 @ X7 @ (sK3 @ X5 @ X7) = $true) | ! [X8 : a] : (X5 @ X7 @ X8 != $true))),
0.20/0.41	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f10,f9,f8,f7])).
0.20/0.41	tff(f13,plain,(
0.20/0.41	  ( ! [X3:a -> '$o'] : ((sK0 @ X3 != $true) | (X3 @ (sK2 @ X3) = $true)) )),
0.20/0.41	  inference(cnf_transformation,[],[f11])).
0.20/0.41	tff(f14,plain,(
0.20/0.41	  ( ! [X1:(a -> '$o') -> a] : ((sK0 @ (sK1 @ X1) = $true)) )),
0.20/0.41	  inference(cnf_transformation,[],[f11])).
0.20/0.41	tff(f15,plain,(
0.20/0.41	  ( ! [X1:(a -> '$o') -> a] : ((sK1 @ X1 @ (X1 @ (sK1 @ X1)) != $true)) )),
0.20/0.41	  inference(cnf_transformation,[],[f11])).
0.20/0.41	tff(f22,plain,(
0.20/0.41	  $false),
0.20/0.41	  inference(unit_resulting_resolution,[],[f14,f15,f13])).
0.20/0.41	% SZS output end Proof for theBenchmark
0.20/0.41	% (19395)------------------------------
0.20/0.41	% (19395)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.41	% (19395)Termination reason: Refutation
0.20/0.41	
0.20/0.41	% (19395)Memory used [KB]: 767
0.20/0.41	% (19395)Time elapsed: 0.039 s
0.20/0.41	% (19395)------------------------------
0.20/0.41	% (19395)------------------------------
0.20/0.41	% (19386)Success in time 0.048 s
0.20/0.41	EOF