0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : run_vampire %s %d
0.12/0.34	% Computer   : n017.cluster.edu
0.12/0.34	% Model      : x86_64 x86_64
0.12/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.34	% Memory     : 8042.1875MB
0.12/0.34	% OS         : Linux 3.10.0-693.el7.x86_64
0.12/0.34	% CPULimit   : 960
0.12/0.34	% WCLimit    : 120
0.12/0.35	% DateTime   : Thu Jul  2 06:42:21 EDT 2020
0.12/0.35	% CPUTime    : 
0.21/0.38	% (25024)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
0.21/0.38	% (25032)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
0.21/0.39	% (25017)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
0.21/0.39	% (25032)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_5, type, ->: ('$tType' * '$tType') > '$tType').
0.21/0.39	tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.21/0.39	tff(func_def_7, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.21/0.39	tff(func_def_10, type, vAND: '$o' -> '$o' -> '$o').
0.21/0.39	tff(func_def_11, type, sK0: '$o' -> '$o').
0.21/0.39	tff(func_def_13, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.21/0.39	tff(func_def_14, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.21/0.39	tff(func_def_15, type, vOR: '$o' -> '$o' -> '$o').
0.21/0.39	tff(func_def_16, type, vIMP: '$o' -> '$o' -> '$o').
0.21/0.39	tff(func_def_17, type, vNOT: '$o' -> '$o').
0.21/0.39	tff(func_def_18, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.21/0.39	tff(func_def_19, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.21/0.39	tff(func_def_20, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.21/0.39	tff(func_def_21, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.21/0.39	tff(f1,conjecture,(
0.21/0.39	  ! [X0 : '$o',X1 : '$o'] : ((X0 <=> X1) => ! [X2 : '$o' -> '$o'] : (X2 @ X0 => X2 @ X1)) => ! [X3 : '$o' -> '$o'] : ((X3 @ a & X3 @ b) => X3 @ a & b)),
0.21/0.39	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cEXT_IMP_EMB2)).
0.21/0.39	tff(f2,negated_conjecture,(
0.21/0.39	  ~(! [X0 : '$o',X1 : '$o'] : ((X0 <=> X1) => ! [X2 : '$o' -> '$o'] : (X2 @ X0 => X2 @ X1)) => ! [X3 : '$o' -> '$o'] : ((X3 @ a & X3 @ b) => X3 @ a & b))),
0.21/0.39	  inference(negated_conjecture,[],[f1])).
0.21/0.39	tff(f3,plain,(
0.21/0.39	  ~(! [X0 : '$o',X1 : '$o'] : ((X0 <=> X1) => ! [X2 : '$o' -> '$o'] : (X2 @ X0 => X2 @ X1)) => ! [X3 : '$o' -> '$o'] : ((X3 @ a & X3 @ b) => X3 @ a & b))),
0.21/0.39	  inference(rectify,[],[f2])).
0.21/0.39	tff(f4,plain,(
0.21/0.39	  ~(! [X0 : '$o',X1 : '$o'] : ((X0 = X1) => ! [X2 : '$o' -> '$o'] : ((X2 @ X0 = $true) => (X2 @ X1 = $true))) => ! [X3 : '$o' -> '$o'] : (((X3 @ a = $true) & (X3 @ b = $true)) => (X3 @ (vAND @ b @ a) = $true)))),
0.21/0.39	  inference(fool_elimination,[],[f3])).
0.21/0.39	tff(f5,plain,(
0.21/0.39	  ? [X3 : '$o' -> '$o'] : ((X3 @ (vAND @ b @ a) != $true) & ((X3 @ a = $true) & (X3 @ b = $true))) & ! [X0 : '$o',X1 : '$o'] : (! [X2 : '$o' -> '$o'] : ((X2 @ X1 = $true) | (X2 @ X0 != $true)) | (X0 != X1))),
0.21/0.39	  inference(ennf_transformation,[],[f4])).
0.21/0.39	tff(f6,plain,(
0.21/0.39	  ? [X3 : '$o' -> '$o'] : ((X3 @ (vAND @ b @ a) != $true) & (X3 @ a = $true) & (X3 @ b = $true)) & ! [X0 : '$o',X1 : '$o'] : (! [X2 : '$o' -> '$o'] : ((X2 @ X1 = $true) | (X2 @ X0 != $true)) | (X0 != X1))),
0.21/0.39	  inference(flattening,[],[f5])).
0.21/0.39	tff(f7,plain,(
0.21/0.39	  ? [X0 : '$o' -> '$o'] : ((X0 @ (vAND @ b @ a) != $true) & (X0 @ a = $true) & (X0 @ b = $true)) & ! [X1 : '$o',X2 : '$o'] : (! [X3 : '$o' -> '$o'] : ((X3 @ X2 = $true) | (X3 @ X1 != $true)) | (X1 != X2))),
0.21/0.39	  inference(rectify,[],[f6])).
0.21/0.39	tff(f8,plain,(
0.21/0.39	  ? [X0 : '$o' -> '$o'] : ((X0 @ (vAND @ b @ a) != $true) & (X0 @ a = $true) & (X0 @ b = $true)) => ((sK0 @ (vAND @ b @ a) != $true) & (sK0 @ a = $true) & (sK0 @ b = $true))),
0.21/0.39	  introduced(choice_axiom,[])).
0.21/0.39	tff(f9,plain,(
0.21/0.39	  ((sK0 @ (vAND @ b @ a) != $true) & (sK0 @ a = $true) & (sK0 @ b = $true)) & ! [X1 : '$o',X2 : '$o'] : (! [X3 : '$o' -> '$o'] : ((X3 @ X2 = $true) | (X3 @ X1 != $true)) | (X1 != X2))),
0.21/0.39	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f7,f8])).
0.21/0.39	tff(f11,plain,(
0.21/0.39	  (sK0 @ b = $true)),
0.21/0.39	  inference(cnf_transformation,[],[f9])).
0.21/0.39	tff(f12,plain,(
0.21/0.39	  (sK0 @ a = $true)),
0.21/0.39	  inference(cnf_transformation,[],[f9])).
0.21/0.39	tff(f13,plain,(
0.21/0.39	  (sK0 @ (vAND @ b @ a) != $true)),
0.21/0.39	  inference(cnf_transformation,[],[f9])).
0.21/0.39	tff(f17,plain,(
0.21/0.39	  ($true != $true) | (sK0 @ (vAND @ b @ a) = $false)),
0.21/0.39	  inference(fool_paramodulation,[],[f13])).
0.21/0.39	tff(f18,plain,(
0.21/0.39	  ($true != $true) | (b != vAND @ b @ a)),
0.21/0.39	  inference(superposition,[],[f13,f11])).
0.21/0.39	tff(f28,plain,(
0.21/0.39	  (b != vAND @ b @ a)),
0.21/0.39	  inference(trivial_inequality_removal,[],[f18])).
0.21/0.39	tff(f29,plain,(
0.21/0.39	  (b = $true) | (vAND @ b @ a = $true)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f28])).
0.21/0.39	tff(f33,plain,(
0.21/0.39	  (b = $true) | (b = $true)),
0.21/0.39	  inference(binary_proxy_clausification,[],[f29])).
0.21/0.39	tff(f35,plain,(
0.21/0.39	  (b = $true)),
0.21/0.39	  inference(duplicate_literal_removal,[],[f33])).
0.21/0.39	tff(f36,plain,(
0.21/0.39	  (sK0 @ (vAND @ b @ a) = $false)),
0.21/0.39	  inference(trivial_inequality_removal,[],[f17])).
0.21/0.39	tff(f38,plain,(
0.21/0.39	  (sK0 @ (vAND @ $true @ a) = $false)),
0.21/0.39	  inference(backward_demodulation,[],[f35,f36])).
0.21/0.39	tff(f40,plain,(
0.21/0.39	  (sK0 @ a = $false)),
0.21/0.39	  inference(boolean_simplification,[],[f38])).
0.21/0.39	tff(f41,plain,(
0.21/0.39	  ($false = $true)),
0.21/0.39	  inference(backward_demodulation,[],[f40,f12])).
0.21/0.39	tff(f42,plain,(
0.21/0.39	  $false),
0.21/0.39	  inference(trivial_inequality_removal,[],[f41])).
0.21/0.39	% SZS output end Proof for theBenchmark
0.21/0.39	% (25032)------------------------------
0.21/0.39	% (25032)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.21/0.39	% (25032)Termination reason: Refutation
0.21/0.39	
0.21/0.39	% (25032)Memory used [KB]: 5245
0.21/0.39	% (25032)Time elapsed: 0.005 s
0.21/0.39	% (25032)------------------------------
0.21/0.39	% (25032)------------------------------
0.21/0.39	% (25015)Success in time 0.03 s
0.21/0.39	EOF