0.03/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command    : run_vampire %s %d
0.13/0.34	% Computer   : n005.cluster.edu
0.13/0.34	% Model      : x86_64 x86_64
0.13/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory     : 8042.1875MB
0.13/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit   : 960
0.13/0.34	% WCLimit    : 120
0.13/0.34	% DateTime   : Thu Jul  2 06:35:06 EDT 2020
0.13/0.34	% CPUTime    : 
0.19/0.36	% (7793)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
0.19/0.37	% (7793)Refutation found. Thanks to Tanya!
0.19/0.37	% SZS status Theorem for theBenchmark
0.19/0.37	% (7781)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
0.19/0.37	% (7792)dis+1002_6_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=2.0:bsr=on:cond=on:irw=on:lma=on:nm=2:nwc=2.5:nicw=on:sp=reverse_arity:updr=off_2 on theBenchmark
0.19/0.38	% SZS output start Proof for theBenchmark
0.19/0.38	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
0.19/0.38	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.19/0.38	tff(func_def_6, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.19/0.38	tff(func_def_9, type, sK0: '$i' -> '$o').
0.19/0.38	tff(func_def_10, type, sK1: '$i' -> '$o').
0.19/0.38	tff(func_def_13, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.19/0.38	tff(func_def_14, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.19/0.38	tff(func_def_15, type, vAND: '$o' -> '$o' -> '$o').
0.19/0.38	tff(func_def_16, type, vOR: '$o' -> '$o' -> '$o').
0.19/0.38	tff(func_def_17, type, vIMP: '$o' -> '$o' -> '$o').
0.19/0.38	tff(func_def_18, type, vNOT: '$o' -> '$o').
0.19/0.38	tff(func_def_19, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.19/0.38	tff(func_def_20, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.19/0.38	tff(func_def_21, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.19/0.38	tff(func_def_22, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.19/0.38	tff(f1,conjecture,(
0.19/0.38	  ? [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : (~X0 @ X3 & X1 @ X3 & ~X1 @ z & X0 @ X2) => ? [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : (~X1 @ z & ~X0 @ X3 & X0 @ X2 & X1 @ X3)),
0.19/0.38	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cSILLYWFF)).
0.19/0.38	tff(f2,negated_conjecture,(
0.19/0.38	  ~(? [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : (~X0 @ X3 & X1 @ X3 & ~X1 @ z & X0 @ X2) => ? [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : (~X1 @ z & ~X0 @ X3 & X0 @ X2 & X1 @ X3))),
0.19/0.38	  inference(negated_conjecture,[],[f1])).
0.19/0.38	tff(f3,plain,(
0.19/0.38	  ~(? [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : (~X0 @ X3 & X1 @ X3 & ~X1 @ z & X0 @ X2) => ? [X4 : '$i' -> '$o',X5 : '$i' -> '$o',X6,X7] : (~X5 @ z & ~X4 @ X7 & X4 @ X6 & X5 @ X7))),
0.19/0.38	  inference(rectify,[],[f2])).
0.19/0.38	tff(f4,plain,(
0.19/0.38	  ~(? [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : (~(X0 @ X3 = $true) & (X1 @ X3 = $true) & ~(X1 @ z = $true) & (X0 @ X2 = $true)) => ? [X4 : '$i' -> '$o',X5 : '$i' -> '$o',X6,X7] : (~(X5 @ z = $true) & ~(X4 @ X7 = $true) & (X4 @ X6 = $true) & (X5 @ X7 = $true)))),
0.19/0.38	  inference(fool_elimination,[],[f3])).
0.19/0.38	tff(f5,plain,(
0.19/0.38	  ~(? [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : ((X0 @ X3 != $true) & (X1 @ X3 = $true) & (X1 @ z != $true) & (X0 @ X2 = $true)) => ? [X4 : '$i' -> '$o',X5 : '$i' -> '$o',X6,X7] : ((X5 @ z != $true) & (X4 @ X7 != $true) & (X4 @ X6 = $true) & (X5 @ X7 = $true)))),
0.19/0.38	  inference(flattening,[],[f4])).
0.19/0.38	tff(f6,plain,(
0.19/0.38	  ! [X4 : '$i' -> '$o',X5 : '$i' -> '$o',X6,X7] : ((X5 @ z = $true) | (X4 @ X7 = $true) | (X4 @ X6 != $true) | (X5 @ X7 != $true)) & ? [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : ((X0 @ X3 != $true) & (X1 @ X3 = $true) & (X1 @ z != $true) & (X0 @ X2 = $true))),
0.19/0.38	  inference(ennf_transformation,[],[f5])).
0.19/0.38	tff(f7,plain,(
0.19/0.38	  ! [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : ((X1 @ z = $true) | (X0 @ X3 = $true) | (X0 @ X2 != $true) | (X1 @ X3 != $true)) & ? [X4 : '$i' -> '$o',X5 : '$i' -> '$o',X6,X7] : ((X4 @ X7 != $true) & (X5 @ X7 = $true) & (X5 @ z != $true) & (X4 @ X6 = $true))),
0.19/0.38	  inference(rectify,[],[f6])).
0.19/0.38	tff(f8,plain,(
0.19/0.38	  ? [X4 : '$i' -> '$o',X5 : '$i' -> '$o',X6,X7] : ((X4 @ X7 != $true) & (X5 @ X7 = $true) & (X5 @ z != $true) & (X4 @ X6 = $true)) => ((sK0 @ sK3 != $true) & (sK1 @ sK3 = $true) & (sK1 @ z != $true) & (sK0 @ sK2 = $true))),
0.19/0.38	  introduced(choice_axiom,[])).
0.19/0.38	tff(f9,plain,(
0.19/0.38	  ! [X0 : '$i' -> '$o',X1 : '$i' -> '$o',X2,X3] : ((X1 @ z = $true) | (X0 @ X3 = $true) | (X0 @ X2 != $true) | (X1 @ X3 != $true)) & ((sK0 @ sK3 != $true) & (sK1 @ sK3 = $true) & (sK1 @ z != $true) & (sK0 @ sK2 = $true))),
0.19/0.38	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f7,f8])).
0.19/0.38	tff(f10,plain,(
0.19/0.38	  (sK0 @ sK2 = $true)),
0.19/0.38	  inference(cnf_transformation,[],[f9])).
0.19/0.38	tff(f11,plain,(
0.19/0.38	  (sK1 @ z != $true)),
0.19/0.38	  inference(cnf_transformation,[],[f9])).
0.19/0.38	tff(f12,plain,(
0.19/0.38	  (sK1 @ sK3 = $true)),
0.19/0.38	  inference(cnf_transformation,[],[f9])).
0.19/0.38	tff(f13,plain,(
0.19/0.38	  (sK0 @ sK3 != $true)),
0.19/0.38	  inference(cnf_transformation,[],[f9])).
0.19/0.38	tff(f14,plain,(
0.19/0.38	  ( ! [X2,X0:'$i' -> '$o',X3,X1:'$i' -> '$o'] : ((X1 @ X3 != $true) | (X0 @ X3 = $true) | (X0 @ X2 != $true) | (X1 @ z = $true)) )),
0.19/0.38	  inference(cnf_transformation,[],[f9])).
0.19/0.38	tff(f16,plain,(
0.19/0.38	  ($true != $true) | (sK1 @ z = $false)),
0.19/0.38	  inference(fool_paramodulation,[],[f11])).
0.19/0.38	tff(f17,plain,(
0.19/0.38	  (sK1 @ z = $false)),
0.19/0.38	  inference(trivial_inequality_removal,[],[f16])).
0.19/0.38	tff(f20,plain,(
0.19/0.38	  ($true != $true) | (sK0 @ sK3 = $false)),
0.19/0.38	  inference(fool_paramodulation,[],[f13])).
0.19/0.38	tff(f21,plain,(
0.19/0.38	  (sK0 @ sK3 = $false)),
0.19/0.38	  inference(trivial_inequality_removal,[],[f20])).
0.19/0.38	tff(f34,plain,(
0.19/0.38	  ( ! [X2:'$i' -> '$o',X3] : (($true != $true) | (X2 @ sK3 = $true) | (X2 @ X3 != $true) | (sK1 @ z = $true)) )),
0.19/0.38	  inference(superposition,[],[f14,f12])).
0.19/0.38	tff(f35,plain,(
0.19/0.38	  ( ! [X2:'$i' -> '$o',X3] : ((X2 @ sK3 = $true) | (X2 @ X3 != $true) | (sK1 @ z = $true)) )),
0.19/0.38	  inference(trivial_inequality_removal,[],[f34])).
0.19/0.38	tff(f46,plain,(
0.19/0.38	  ( ! [X2:'$i' -> '$o',X3] : (($false = $true) | (X2 @ sK3 = $true) | (X2 @ X3 != $true)) )),
0.19/0.38	  inference(forward_demodulation,[],[f35,f17])).
0.19/0.38	tff(f47,plain,(
0.19/0.38	  ( ! [X2:'$i' -> '$o',X3] : ((X2 @ X3 != $true) | (X2 @ sK3 = $true)) )),
0.19/0.38	  inference(trivial_inequality_removal,[],[f46])).
0.19/0.38	tff(f51,plain,(
0.19/0.38	  (sK0 @ sK3 = $true)),
0.19/0.38	  inference(unit_resulting_resolution,[],[f10,f47])).
0.19/0.38	tff(f77,plain,(
0.19/0.38	  ($false = $true)),
0.19/0.38	  inference(forward_demodulation,[],[f51,f21])).
0.19/0.38	tff(f78,plain,(
0.19/0.38	  $false),
0.19/0.38	  inference(trivial_inequality_removal,[],[f77])).
0.19/0.38	% SZS output end Proof for theBenchmark
0.19/0.38	% (7793)------------------------------
0.19/0.38	% (7793)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.19/0.38	% (7793)Termination reason: Refutation
0.19/0.38	
0.19/0.38	% (7793)Memory used [KB]: 5245
0.19/0.38	% (7793)Time elapsed: 0.004 s
0.19/0.38	% (7793)------------------------------
0.19/0.38	% (7793)------------------------------
0.19/0.38	% (7779)Success in time 0.03 s
0.19/0.38	EOF