0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : run_vampire %s %d
0.14/0.34	% Computer   : n021.cluster.edu
0.14/0.34	% Model      : x86_64 x86_64
0.14/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.34	% Memory     : 8042.1875MB
0.14/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.34	% CPULimit   : 960
0.14/0.34	% WCLimit    : 120
0.14/0.34	% DateTime   : Thu Jul  2 07:04:07 EDT 2020
0.14/0.35	% CPUTime    : 
0.14/0.36	% (5372)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager: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_2 on theBenchmark
0.21/0.38	% (5369)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off_2 on theBenchmark
0.21/0.38	% (5383)lrs+1002_1_av=off:er=filter:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:fsr=off:gs=on:gsem=off:irw=on:lma=on:nm=4:nwc=1:stl=30:sd=3:ss=axioms:st=1.5:sos=on_1 on theBenchmark
0.21/0.39	% (5372)Refutation found. Thanks to Tanya!
0.21/0.39	% SZS status Theorem for theBenchmark
0.21/0.39	% SZS output start Proof for theBenchmark
0.21/0.39	tff(func_def_0, type, a: '$tType').
0.21/0.39	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
0.21/0.39	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.21/0.39	tff(func_def_6, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.21/0.39	tff(func_def_7, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.21/0.39	tff(func_def_10, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.21/0.39	tff(func_def_11, type, sK0: a -> a).
0.21/0.39	tff(func_def_12, type, sK1: (a -> a) -> '$o').
0.21/0.39	tff(func_def_14, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.21/0.39	tff(func_def_15, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.21/0.39	tff(func_def_16, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.21/0.39	tff(func_def_17, type, sK3: a).
0.21/0.39	tff(f1,conjecture,(
0.21/0.39	  ! [X0 : a -> a,X1 : (a -> a) -> '$o'] : ((! [X4 : a -> a] : (X1 @ X4 => X1 @ (^[X2 : a] : X0 @ (X4 @ X2))) & X1 @ (^[X3 : a] : X3)) => X1 @ (^[X2 : a] : X0 @ (X0 @ X2)))),
0.21/0.39	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM92_pme)).
0.21/0.39	tff(f2,negated_conjecture,(
0.21/0.39	  ~! [X0 : a -> a,X1 : (a -> a) -> '$o'] : ((! [X4 : a -> a] : (X1 @ X4 => X1 @ (^[X2 : a] : X0 @ (X4 @ X2))) & X1 @ (^[X3 : a] : X3)) => X1 @ (^[X2 : a] : X0 @ (X0 @ X2)))),
0.21/0.39	  inference(negated_conjecture,[],[f1])).
0.21/0.39	tff(f3,plain,(
0.21/0.39	  ~! [X0 : a -> a,X1 : (a -> a) -> '$o'] : ((! [X2 : a -> a] : (X1 @ X2 => X1 @ (^[X3 : a] : X0 @ (X2 @ X3))) & X1 @ (^[X4 : a] : X4)) => X1 @ (^[X5 : a] : X0 @ (X0 @ X5)))),
0.21/0.39	  inference(rectify,[],[f2])).
0.21/0.39	tff(f4,plain,(
0.21/0.39	  ~! [X0 : a -> a,X1 : (a -> a) -> '$o'] : ((! [X2 : a -> a] : ((X1 @ X2 = $true) => (X1 @ (bCOMB @ X0 @ X2) = $true)) & (X1 @ iCOMB = $true)) => (X1 @ (bCOMB @ X0 @ X0) = $true))),
0.21/0.39	  inference(fool_elimination,[],[f3])).
0.21/0.39	tff(f5,plain,(
0.21/0.39	  ? [X0 : a -> a,X1 : (a -> a) -> '$o'] : ((X1 @ (bCOMB @ X0 @ X0) != $true) & (! [X2 : a -> a] : ((X1 @ (bCOMB @ X0 @ X2) = $true) | (X1 @ X2 != $true)) & (X1 @ iCOMB = $true)))),
0.21/0.39	  inference(ennf_transformation,[],[f4])).
0.21/0.39	tff(f6,plain,(
0.21/0.39	  ? [X0 : a -> a,X1 : (a -> a) -> '$o'] : ((X1 @ (bCOMB @ X0 @ X0) != $true) & ! [X2 : a -> a] : ((X1 @ (bCOMB @ X0 @ X2) = $true) | (X1 @ X2 != $true)) & (X1 @ iCOMB = $true))),
0.21/0.39	  inference(flattening,[],[f5])).
0.21/0.39	tff(f7,plain,(
0.21/0.39	  ? [X0 : a -> a,X1 : (a -> a) -> '$o'] : ((X1 @ (bCOMB @ X0 @ X0) != $true) & ! [X2 : a -> a] : ((X1 @ (bCOMB @ X0 @ X2) = $true) | (X1 @ X2 != $true)) & (X1 @ iCOMB = $true)) => ((sK1 @ (bCOMB @ sK0 @ sK0) != $true) & ! [X2 : a -> a] : ((sK1 @ (bCOMB @ sK0 @ X2) = $true) | (sK1 @ X2 != $true)) & (sK1 @ iCOMB = $true))),
0.21/0.39	  introduced(choice_axiom,[])).
0.21/0.39	tff(f8,plain,(
0.21/0.39	  (sK1 @ (bCOMB @ sK0 @ sK0) != $true) & ! [X2 : a -> a] : ((sK1 @ (bCOMB @ sK0 @ X2) = $true) | (sK1 @ X2 != $true)) & (sK1 @ iCOMB = $true)),
0.21/0.39	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f6,f7])).
0.21/0.39	tff(f9,plain,(
0.21/0.39	  (sK1 @ iCOMB = $true)),
0.21/0.39	  inference(cnf_transformation,[],[f8])).
0.21/0.39	tff(f10,plain,(
0.21/0.39	  ( ! [X2:a -> a] : ((sK1 @ X2 != $true) | (sK1 @ (bCOMB @ sK0 @ X2) = $true)) )),
0.21/0.39	  inference(cnf_transformation,[],[f8])).
0.21/0.39	tff(f11,plain,(
0.21/0.39	  (sK1 @ (bCOMB @ sK0 @ sK0) != $true)),
0.21/0.39	  inference(cnf_transformation,[],[f8])).
0.21/0.39	tff(f16,plain,(
0.21/0.39	  spl2_1 <=> (sK1 @ (bCOMB @ sK0 @ sK0) != $true)),
0.21/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl2_1])])).
0.21/0.39	tff(f17,plain,(
0.21/0.39	  (sK1 @ (bCOMB @ sK0 @ sK0) != $true) | ~spl2_1),
0.21/0.39	  inference(avatar_component_clause,[],[f16])).
0.21/0.39	tff(f18,plain,(
0.21/0.39	  ~spl2_1),
0.21/0.39	  inference(avatar_split_clause,[],[f11,f16])).
0.21/0.39	tff(f23,plain,(
0.21/0.39	  spl2_2 <=> (sK1 @ iCOMB = $true)),
0.21/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
0.21/0.39	tff(f24,plain,(
0.21/0.39	  (sK1 @ iCOMB = $true) | ~spl2_2),
0.21/0.39	  inference(avatar_component_clause,[],[f23])).
0.21/0.39	tff(f25,plain,(
0.21/0.39	  spl2_2),
0.21/0.39	  inference(avatar_split_clause,[],[f9,f23])).
0.21/0.39	tff(f27,plain,(
0.21/0.39	  ($true != $true) | (sK1 @ (bCOMB @ sK0 @ sK0) = $false) | ~spl2_1),
0.21/0.39	  inference(fool_paramodulation,[],[f17])).
0.21/0.39	tff(f30,plain,(
0.21/0.39	  (sK1 @ (bCOMB @ sK0 @ sK0) = $false) | ~spl2_1),
0.21/0.39	  inference(trivial_inequality_removal,[],[f27])).
0.21/0.39	tff(f35,plain,(
0.21/0.39	  spl2_4 <=> (sK1 @ (bCOMB @ sK0 @ sK0) = $false)),
0.21/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
0.21/0.39	tff(f36,plain,(
0.21/0.39	  (sK1 @ (bCOMB @ sK0 @ sK0) = $false) | ~spl2_4),
0.21/0.39	  inference(avatar_component_clause,[],[f35])).
0.21/0.39	tff(f37,plain,(
0.21/0.39	  spl2_4 | spl2_1),
0.21/0.39	  inference(avatar_split_clause,[],[f30,f16,f35])).
0.21/0.39	tff(f67,plain,(
0.21/0.39	  ($true != $true) | (sK1 @ (bCOMB @ sK0 @ iCOMB) = $true) | ~spl2_2),
0.21/0.39	  inference(superposition,[],[f10,f24])).
0.21/0.39	tff(f69,plain,(
0.21/0.39	  (sK1 @ (bCOMB @ sK0 @ iCOMB) = $true) | ~spl2_2),
0.21/0.39	  inference(trivial_inequality_removal,[],[f67])).
0.21/0.39	tff(f70,plain,(
0.21/0.39	  (sK1 @ sK0 = $true) | ~spl2_2),
0.21/0.39	  inference(combinator_normalisation,[],[f69])).
0.21/0.39	tff(f76,plain,(
0.21/0.39	  spl2_12 <=> (sK1 @ sK0 = $true)),
0.21/0.39	  introduced(avatar_definition,[new_symbols(naming,[spl2_12])])).
0.21/0.39	tff(f77,plain,(
0.21/0.39	  (sK1 @ sK0 = $true) | ~spl2_12),
0.21/0.39	  inference(avatar_component_clause,[],[f76])).
0.21/0.39	tff(f78,plain,(
0.21/0.39	  spl2_12 | ~spl2_2),
0.21/0.39	  inference(avatar_split_clause,[],[f70,f23,f76])).
0.21/0.39	tff(f81,plain,(
0.21/0.39	  ($true != $true) | (sK1 @ (bCOMB @ sK0 @ sK0) = $true) | ~spl2_12),
0.21/0.39	  inference(superposition,[],[f10,f77])).
0.21/0.39	tff(f84,plain,(
0.21/0.39	  (sK1 @ (bCOMB @ sK0 @ sK0) = $true) | ~spl2_12),
0.21/0.39	  inference(trivial_inequality_removal,[],[f81])).
0.21/0.39	tff(f93,plain,(
0.21/0.39	  ($false = $true) | (~spl2_4 | ~spl2_12)),
0.21/0.39	  inference(forward_demodulation,[],[f84,f36])).
0.21/0.39	tff(f94,plain,(
0.21/0.39	  $false | (~spl2_4 | ~spl2_12)),
0.21/0.39	  inference(trivial_inequality_removal,[],[f93])).
0.21/0.39	tff(f95,plain,(
0.21/0.39	  ~spl2_4 | ~spl2_12),
0.21/0.39	  inference(avatar_contradiction_clause,[],[f94])).
0.21/0.39	tff(f97,plain,(
0.21/0.39	  $false),
0.21/0.39	  inference(avatar_sat_refutation,[],[f18,f25,f37,f78,f95])).
0.21/0.39	% SZS output end Proof for theBenchmark
0.21/0.39	% (5372)------------------------------
0.21/0.39	% (5372)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.21/0.39	% (5372)Termination reason: Refutation
0.21/0.39	
0.21/0.39	% (5372)Memory used [KB]: 9722
0.21/0.39	% (5372)Time elapsed: 0.005 s
0.21/0.39	% (5372)------------------------------
0.21/0.39	% (5372)------------------------------
0.21/0.39	% (5368)Success in time 0.03 s
0.21/0.39	EOF