0.06/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.13	% Command    : run_vampire %s %d
0.13/0.34	% 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 07:10:21 EDT 2020
0.13/0.34	% CPUTime    : 
0.13/0.37	% (3860)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
0.13/0.38	% (3849)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
0.21/0.38	% (3848)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
0.21/0.39	% (3860)Refutation found. Thanks to Tanya!
0.21/0.39	% SZS status Theorem for theBenchmark
0.21/0.39	% (3858)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
0.21/0.39	% (3850)lrs+1011_8_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.21/0.39	% (3859)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
0.21/0.39	% (3861)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
0.21/0.40	% (3858)Refutation not found, incomplete strategy
0.21/0.40	% (3858)------------------------------
0.21/0.40	% (3858)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.21/0.40	% (3858)Termination reason: Refutation not found, incomplete strategy
0.21/0.40	
0.21/0.40	% (3858)Memory used [KB]: 9722
0.21/0.40	% (3858)Time elapsed: 0.035 s
0.21/0.40	% (3858)------------------------------
0.21/0.40	% (3858)------------------------------
0.21/0.40	% (3868)lrs+10_12_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.4:amm=sco:anc=none:cond=on:lma=on:nm=64:nwc=1.3:stl=30:sac=on:urr=on_41 on theBenchmark
0.21/0.40	% SZS output start Proof for theBenchmark
0.21/0.40	tff(func_def_0, type, a: '$tType').
0.21/0.40	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
0.21/0.40	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.21/0.40	tff(func_def_6, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.21/0.40	tff(func_def_7, type, vIMP: '$o' -> '$o' -> '$o').
0.21/0.40	tff(func_def_8, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
0.21/0.40	tff(func_def_9, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.21/0.40	tff(func_def_10, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.21/0.40	tff(func_def_11, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.21/0.40	tff(func_def_12, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.21/0.40	tff(func_def_13, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.21/0.40	tff(func_def_15, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.21/0.40	tff(func_def_16, type, vAND: '$o' -> '$o' -> '$o').
0.21/0.40	tff(func_def_17, type, vOR: '$o' -> '$o' -> '$o').
0.21/0.40	tff(func_def_18, type, vNOT: '$o' -> '$o').
0.21/0.40	tff(func_def_21, type, sK1: a).
0.21/0.40	tff(func_def_22, type, sK2: a).
0.21/0.40	tff(func_def_23, type, sK3: a -> '$o').
0.21/0.40	tff(f1,conjecture,(
0.21/0.40	  (^[X0 : a, X1 : a] : ! [X2 : a -> '$o'] : (X2 @ X0 => X2 @ X1)) = (^[X0 : a, X1 : a] : X0 = X1)),
0.21/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cE1_eq__pme)).
0.21/0.40	tff(f2,negated_conjecture,(
0.21/0.40	  ~(^[X0 : a, X1 : a] : ! [X2 : a -> '$o'] : (X2 @ X0 => X2 @ X1)) = (^[X0 : a, X1 : a] : X0 = X1)),
0.21/0.40	  inference(negated_conjecture,[],[f1])).
0.21/0.40	tff(f3,plain,(
0.21/0.40	  ~(^[X0 : a, X1 : a] : ! [X2 : a -> '$o'] : (X2 @ X0 => X2 @ X1)) = (^[X3 : a, X4 : a] : X3 = X4)),
0.21/0.40	  inference(rectify,[],[f2])).
0.21/0.40	tff(f4,plain,(
0.21/0.40	  ~bCOMB @ (bCOMB @ vPI(a -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ iCOMB)) = vEQ(a)),
0.21/0.40	  inference(fool_elimination,[],[f3])).
0.21/0.40	tff(f5,plain,(
0.21/0.40	  bCOMB @ (bCOMB @ vPI(a -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ iCOMB)) != vEQ(a)),
0.21/0.40	  inference(flattening,[],[f4])).
0.21/0.40	% (3851)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
0.21/0.40	tff(f6,plain,(
0.21/0.40	  bCOMB @ (bCOMB @ vPI(a -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ iCOMB)) != vEQ(a)),
0.21/0.40	  inference(cnf_transformation,[],[f5])).
0.21/0.40	tff(f7,plain,(
0.21/0.40	  vEQ(a) @ sK1 != bCOMB @ (bCOMB @ vPI(a -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ iCOMB)) @ sK1),
0.21/0.40	  inference(negative_extensionality,[],[f6])).
0.21/0.40	tff(f8,plain,(
0.21/0.40	  vEQ(a) @ sK1 != bCOMB @ vPI(a -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK1))) @ (cCOMB @ iCOMB))),
0.21/0.40	  inference(combinator_demodulation,[],[f7])).
0.21/0.40	tff(f9,plain,(
0.21/0.40	  (vEQ(a) @ sK1 @ sK2 != bCOMB @ vPI(a -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK1))) @ (cCOMB @ iCOMB)) @ sK2)),
0.21/0.40	  inference(negative_extensionality,[],[f8])).
0.21/0.40	tff(f10,plain,(
0.21/0.40	  (vEQ(a) @ sK1 @ sK2 != vPI(a -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK1)) @ (cCOMB @ iCOMB @ sK2)))),
0.21/0.40	  inference(combinator_demodulation,[],[f9])).
0.21/0.40	tff(f11,plain,(
0.21/0.40	  (vEQ(a) @ sK1 @ sK2 = $true) | (vPI(a -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK1)) @ (cCOMB @ iCOMB @ sK2)) = $true)),
0.21/0.40	  inference(binary_proxy_clausification,[],[f10])).
0.21/0.40	tff(f12,plain,(
0.21/0.40	  (vEQ(a) @ sK1 @ sK2 = $false) | (vPI(a -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK1)) @ (cCOMB @ iCOMB @ sK2)) = $false)),
0.21/0.40	  inference(binary_proxy_clausification,[],[f10])).
0.21/0.40	% (3870)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
0.21/0.40	tff(f13,plain,(
0.21/0.40	  (vEQ(a) @ sK1 @ sK2 = $false) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK1)) @ (cCOMB @ iCOMB @ sK2) @ sK3 = $false)),
0.21/0.40	  inference(sigma_clausification,[],[f12])).
0.21/0.40	tff(f14,plain,(
0.21/0.40	  sK1 != sK2 | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK1)) @ (cCOMB @ iCOMB @ sK2) @ sK3 = $false)),
0.21/0.40	  inference(equality_proxy_clausification,[],[f13])).
0.21/0.40	tff(f15,plain,(
0.21/0.40	  sK1 != sK2 | (vIMP @ (sK3 @ sK1) @ (sK3 @ sK2) = $false)),
0.21/0.40	  inference(combinator_demodulation,[],[f14])).
0.21/0.40	tff(f16,plain,(
0.21/0.40	  sK1 != sK2 | (sK3 @ sK1 = $true)),
0.21/0.40	  inference(binary_proxy_clausification,[],[f15])).
0.21/0.40	tff(f17,plain,(
0.21/0.40	  sK1 != sK2 | (sK3 @ sK2 = $false)),
0.21/0.40	  inference(binary_proxy_clausification,[],[f15])).
0.21/0.40	tff(f18,plain,(
0.21/0.40	  ( ! [X1:a -> '$o'] : ((vEQ(a) @ sK1 @ sK2 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK1)) @ (cCOMB @ iCOMB @ sK2) @ X1 = $true)) )),
0.21/0.40	  inference(pi_clausification,[],[f11])).
0.21/0.40	tff(f19,plain,(
0.21/0.40	  ( ! [X1:a -> '$o'] : (sK1 = sK2 | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK1)) @ (cCOMB @ iCOMB @ sK2) @ X1 = $true)) )),
0.21/0.40	  inference(equality_proxy_clausification,[],[f18])).
0.21/0.40	tff(f20,plain,(
0.21/0.40	  ( ! [X1:a -> '$o'] : (sK1 = sK2 | (vIMP @ (X1 @ sK1) @ (X1 @ sK2) = $true)) )),
0.21/0.40	  inference(combinator_demodulation,[],[f19])).
0.21/0.40	tff(f21,plain,(
0.21/0.40	  ( ! [X1:a -> '$o'] : (sK1 = sK2 | (X1 @ sK1 = $false) | (X1 @ sK2 = $true)) )),
0.21/0.40	  inference(binary_proxy_clausification,[],[f20])).
0.21/0.40	tff(f23,plain,(
0.21/0.40	  spl0_0 <=> ! [X1 : a -> '$o'] : ((X1 @ sK1 = $false) | (X1 @ sK2 = $true))),
0.21/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl0_0])])).
0.21/0.40	tff(f24,plain,(
0.21/0.40	  ( ! [X1:a -> '$o'] : ((X1 @ sK2 = $true) | (X1 @ sK1 = $false)) ) | ~spl0_0),
0.21/0.40	  inference(avatar_component_clause,[],[f23])).
0.21/0.40	tff(f26,plain,(
0.21/0.40	  spl0_3 <=> sK1 != sK2),
0.21/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
0.21/0.40	tff(f27,plain,(
0.21/0.40	  sK1 != sK2 | ~spl0_3),
0.21/0.40	  inference(avatar_component_clause,[],[f26])).
0.21/0.40	tff(f29,plain,(
0.21/0.40	  spl0_2 <=> sK1 = sK2),
0.21/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.21/0.40	tff(f31,plain,(
0.21/0.40	  spl0_0 | spl0_2),
0.21/0.40	  inference(avatar_split_clause,[],[f21,f29,f23])).
0.21/0.40	tff(f36,plain,(
0.21/0.40	  spl0_4 <=> (sK3 @ sK1 = $true)),
0.21/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
0.21/0.40	tff(f37,plain,(
0.21/0.40	  (sK3 @ sK1 = $true) | ~spl0_4),
0.21/0.40	  inference(avatar_component_clause,[],[f36])).
0.21/0.40	tff(f38,plain,(
0.21/0.40	  spl0_4 | ~spl0_3),
0.21/0.40	  inference(avatar_split_clause,[],[f16,f26,f36])).
0.21/0.40	tff(f39,plain,(
0.21/0.40	  sK1 != sK2 | (sK3 @ sK1 = $false)),
0.21/0.40	  inference(inner_rewriting,[],[f17])).
0.21/0.40	tff(f44,plain,(
0.21/0.40	  spl0_6 <=> (sK3 @ sK1 = $false)),
0.21/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
0.21/0.40	tff(f45,plain,(
0.21/0.40	  (sK3 @ sK1 = $false) | ~spl0_6),
0.21/0.40	  inference(avatar_component_clause,[],[f44])).
0.21/0.40	tff(f46,plain,(
0.21/0.40	  spl0_6 | ~spl0_3),
0.21/0.40	  inference(avatar_split_clause,[],[f39,f26,f44])).
0.21/0.40	tff(f47,plain,(
0.21/0.40	  ($false = $true) | (~spl0_4 | ~spl0_6)),
0.21/0.40	  inference(forward_demodulation,[],[f37,f45])).
0.21/0.40	tff(f48,plain,(
0.21/0.40	  $false | (~spl0_4 | ~spl0_6)),
0.21/0.40	  inference(trivial_inequality_removal,[],[f47])).
0.21/0.40	tff(f49,plain,(
0.21/0.40	  ~spl0_4 | ~spl0_6),
0.21/0.40	  inference(avatar_contradiction_clause,[],[f48])).
0.21/0.40	tff(f53,plain,(
0.21/0.40	  sK1 = sK2 | ~spl0_0),
0.21/0.40	  inference(leibniz_equality_elimination,[],[f24])).
0.21/0.40	tff(f69,plain,(
0.21/0.40	  $false | (~spl0_0 | ~spl0_3)),
0.21/0.40	  inference(subsumption_resolution,[],[f53,f27])).
0.21/0.40	tff(f70,plain,(
0.21/0.40	  ~spl0_0 | spl0_3),
0.21/0.40	  inference(avatar_contradiction_clause,[],[f69])).
0.21/0.40	tff(f71,plain,(
0.21/0.40	  $false),
0.21/0.40	  inference(avatar_sat_refutation,[],[f31,f38,f46,f49,f70])).
0.21/0.40	% SZS output end Proof for theBenchmark
0.21/0.40	% (3860)------------------------------
0.21/0.40	% (3860)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.21/0.40	% (3860)Termination reason: Refutation
0.21/0.40	
0.21/0.40	% (3860)Memory used [KB]: 5245
0.21/0.40	% (3860)Time elapsed: 0.033 s
0.21/0.40	% (3860)------------------------------
0.21/0.40	% (3860)------------------------------
0.21/0.40	% (3877)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:e2e=on:prag=on:foolp=on:cnfonf=eager:afq=1.0:fde=all:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_50 on theBenchmark
0.21/0.40	% (3862)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
0.21/0.41	% (3847)Success in time 0.053 s
0.21/0.41	EOF