0.11/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.11/0.13	% Command    : run_vampire %s %d
0.13/0.34	% Computer   : n017.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 07:04:51 EDT 2020
0.13/0.34	% CPUTime    : 
0.13/0.37	% (4101)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
0.13/0.38	% (4092)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
0.13/0.39	% (4114)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
0.13/0.39	% (4120)dis+1002_4_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=40000:afq=1.0:anc=none:cond=fast:fde=none:gs=on:gsaa=full_model:lma=on:lwlo=on:nm=0:nwc=1.5:sp=reverse_arity:tha=off_300 on theBenchmark
0.13/0.39	% (4103)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
0.13/0.39	% (4104)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
0.13/0.39	% (4105)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
0.13/0.39	% (4094)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
0.13/0.39	% (4093)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
0.13/0.39	% (4106)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
0.13/0.39	% (4112)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
0.13/0.39	% (4101)Refutation found. Thanks to Tanya!
0.13/0.39	% SZS status Theorem for theBenchmark
0.13/0.39	% (4094)Refutation not found, incomplete strategy
0.13/0.39	% (4094)------------------------------
0.13/0.39	% (4094)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.13/0.39	% (4094)Termination reason: Refutation not found, incomplete strategy
0.13/0.39	
0.13/0.39	% (4094)Memory used [KB]: 9722
0.13/0.39	% (4094)Time elapsed: 0.035 s
0.13/0.39	% (4094)------------------------------
0.13/0.39	% (4094)------------------------------
0.13/0.40	% (4106)Refutation not found, incomplete strategy
0.13/0.40	% (4106)------------------------------
0.13/0.40	% (4106)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.13/0.40	% (4106)Termination reason: Refutation not found, incomplete strategy
0.13/0.40	
0.13/0.40	% (4106)Memory used [KB]: 5245
0.13/0.40	% (4106)Time elapsed: 0.037 s
0.13/0.40	% (4106)------------------------------
0.13/0.40	% (4106)------------------------------
0.13/0.40	% SZS output start Proof for theBenchmark
0.13/0.40	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
0.13/0.40	tff(func_def_4, type, leibeq: '$o' -> '$o' -> '$o').
0.13/0.40	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.13/0.40	tff(func_def_6, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.13/0.40	tff(func_def_9, type, vIMP: '$o' -> '$o' -> '$o').
0.13/0.40	tff(func_def_10, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
0.13/0.40	tff(func_def_11, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.13/0.40	tff(func_def_12, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.13/0.40	tff(func_def_13, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.13/0.40	tff(func_def_14, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.13/0.40	tff(func_def_18, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.13/0.40	tff(func_def_19, type, vAND: '$o' -> '$o' -> '$o').
0.13/0.40	tff(func_def_20, type, vOR: '$o' -> '$o' -> '$o').
0.13/0.40	tff(func_def_21, type, vNOT: '$o' -> '$o').
0.13/0.40	tff(func_def_22, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.13/0.40	tff(f1,axiom,(
0.13/0.40	  leibeq = (^[X0 : '$o', X1 : '$o'] : ! [X2 : '$o' -> '$o'] : (X2 @ X0 => X2 @ X1))),
0.13/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',leibeq1)).
0.13/0.40	tff(f2,conjecture,(
0.13/0.40	  ! [X3 : '$o',X4 : '$o'] : (leibeq @ X3 @ X4 => (X4 <=> X3))),
0.13/0.40	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj)).
0.13/0.40	tff(f3,negated_conjecture,(
0.13/0.40	  ~! [X3 : '$o',X4 : '$o'] : (leibeq @ X3 @ X4 => (X4 <=> X3))),
0.13/0.40	  inference(negated_conjecture,[],[f2])).
0.13/0.40	tff(f4,plain,(
0.13/0.40	  ~! [X0 : '$o',X1 : '$o'] : (leibeq @ X0 @ X1 => (X1 <=> X0))),
0.13/0.40	  inference(rectify,[],[f3])).
0.13/0.40	tff(f5,plain,(
0.13/0.40	  ~! [X0 : '$o',X1 : '$o'] : ((leibeq @ X0 @ X1 = $true) => (X0 = X1))),
0.13/0.40	  inference(fool_elimination,[],[f4])).
0.13/0.40	tff(f6,plain,(
0.13/0.40	  leibeq = (^[X0 : '$o', X1 : '$o'] : ! [X2 : '$o' -> '$o'] : (X2 @ X0 => X2 @ X1))),
0.13/0.40	  inference(rectify,[],[f1])).
0.13/0.40	tff(f7,plain,(
0.13/0.40	  leibeq = bCOMB @ (bCOMB @ vPI('$o' -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ iCOMB))),
0.13/0.40	  inference(fool_elimination,[],[f6])).
0.13/0.40	tff(f8,plain,(
0.13/0.40	  ? [X0 : '$o',X1 : '$o'] : ((X0 != X1) & (leibeq @ X0 @ X1 = $true))),
0.13/0.40	  inference(ennf_transformation,[],[f5])).
0.13/0.40	tff(f9,plain,(
0.13/0.40	  ? [X0 : '$o',X1 : '$o'] : ((X0 != X1) & (leibeq @ X0 @ X1 = $true)) => ((sK0 != sK1) & (leibeq @ sK0 @ sK1 = $true))),
0.13/0.40	  introduced(choice_axiom,[])).
0.13/0.40	tff(f10,plain,(
0.13/0.40	  (sK0 != sK1) & (leibeq @ sK0 @ sK1 = $true)),
0.13/0.40	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f8,f9])).
0.13/0.40	tff(f11,plain,(
0.13/0.40	  (leibeq @ sK0 @ sK1 = $true)),
0.13/0.40	  inference(cnf_transformation,[],[f10])).
0.13/0.40	% (4095)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=4000:afq=1.4:amm=off:bd=preordered:cond=on:fsr=off:fde=unused:gs=on:gsem=on:irw=on:lma=on:nm=64:nwc=1.2:nicw=on:sos=on:sp=occurrence:updr=off:uhcvi=on_2 on theBenchmark
0.13/0.40	% (4098)lrs+1011_5:1_acc=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=all_dependent:bd=off:ccuc=small_ones:fde=unused:gs=on:gsaa=full_model:gsem=off:lcm=predicate:lwlo=on:nm=6:newcnf=on:nwc=2.5:stl=30:sp=occurrence:updr=off_3 on theBenchmark
0.13/0.40	tff(f12,plain,(
0.13/0.40	  (sK0 != sK1)),
0.13/0.40	  inference(cnf_transformation,[],[f10])).
0.13/0.40	tff(f13,plain,(
0.13/0.40	  leibeq = bCOMB @ (bCOMB @ vPI('$o' -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ iCOMB))),
0.13/0.40	  inference(cnf_transformation,[],[f7])).
0.13/0.40	tff(f14,plain,(
0.13/0.40	  (bCOMB @ (bCOMB @ vPI('$o' -> '$o')) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ iCOMB)))) @ (cCOMB @ iCOMB)) @ sK0 @ sK1 = $true)),
0.13/0.40	  inference(definition_unfolding,[],[f11,f13])).
0.13/0.40	tff(f15,plain,(
0.13/0.40	  (vPI('$o' -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK0)) @ (cCOMB @ iCOMB @ sK1)) = $true)),
0.13/0.40	  inference(combinator_demodulation,[],[f14])).
0.13/0.40	tff(f16,plain,(
0.13/0.40	  ( ! [X1:'$o' -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (cCOMB @ iCOMB @ sK0)) @ (cCOMB @ iCOMB @ sK1) @ X1 = $true)) )),
0.13/0.40	  inference(pi_clausification,[],[f15])).
0.13/0.40	tff(f17,plain,(
0.13/0.40	  ( ! [X1:'$o' -> '$o'] : ((vIMP @ (X1 @ sK0) @ (X1 @ sK1) = $true)) )),
0.13/0.40	  inference(combinator_demodulation,[],[f16])).
0.13/0.40	tff(f18,plain,(
0.13/0.40	  ( ! [X1:'$o' -> '$o'] : ((X1 @ sK0 = $false) | (X1 @ sK1 = $true)) )),
0.13/0.40	  inference(binary_proxy_clausification,[],[f17])).
0.13/0.40	tff(f19,plain,(
0.13/0.40	  ($true = sK0) | ($true = sK1)),
0.13/0.40	  inference(binary_proxy_clausification,[],[f12])).
0.13/0.40	tff(f20,plain,(
0.13/0.40	  ($false = sK0) | ($false = sK1)),
0.13/0.40	  inference(binary_proxy_clausification,[],[f12])).
0.13/0.40	tff(f25,plain,(
0.13/0.40	  spl2_0 <=> ($true = sK1)),
0.13/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl2_0])])).
0.13/0.40	tff(f26,plain,(
0.13/0.40	  ($true = sK1) | ~spl2_0),
0.13/0.40	  inference(avatar_component_clause,[],[f25])).
0.13/0.40	tff(f31,plain,(
0.13/0.40	  spl2_2 <=> ($true = sK0)),
0.13/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
0.13/0.40	tff(f32,plain,(
0.13/0.40	  ($true = sK0) | ~spl2_2),
0.13/0.40	  inference(avatar_component_clause,[],[f31])).
0.13/0.40	tff(f35,plain,(
0.13/0.40	  spl2_5 <=> ($false != sK1)),
0.13/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl2_5])])).
0.13/0.40	tff(f36,plain,(
0.13/0.40	  ($false != sK1) | ~spl2_5),
0.13/0.40	  inference(avatar_component_clause,[],[f35])).
0.13/0.40	tff(f38,plain,(
0.13/0.40	  spl2_4 <=> ($false = sK1)),
0.13/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
0.13/0.40	tff(f39,plain,(
0.13/0.40	  ($false = sK1) | ~spl2_4),
0.13/0.40	  inference(avatar_component_clause,[],[f38])).
0.13/0.40	tff(f44,plain,(
0.13/0.40	  spl2_6 <=> ($false = sK0)),
0.13/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl2_6])])).
0.13/0.40	tff(f48,plain,(
0.13/0.40	  ( ! [X1:'$o' -> '$o'] : ((X1 @ $true = $false) | (X1 @ sK1 = $true)) ) | ~spl2_2),
0.13/0.40	  inference(forward_demodulation,[],[f18,f32])).
0.13/0.40	tff(f49,plain,(
0.13/0.40	  ( ! [X1:'$o' -> '$o'] : ((X1 @ $false = $true) | (X1 @ $true = $false)) ) | (~spl2_2 | ~spl2_4)),
0.13/0.40	  inference(forward_demodulation,[],[f48,f39])).
0.13/0.40	tff(f52,plain,(
0.13/0.40	  ($false = $true) | (~spl2_2 | ~spl2_4)),
0.13/0.40	  inference(leibniz_equality_elimination,[],[f49])).
0.13/0.40	tff(f129,plain,(
0.13/0.40	  $false | (~spl2_2 | ~spl2_4)),
0.13/0.40	  inference(trivial_inequality_removal,[],[f52])).
0.13/0.40	tff(f130,plain,(
0.13/0.40	  ~spl2_2 | ~spl2_4),
0.13/0.40	  inference(avatar_contradiction_clause,[],[f129])).
0.13/0.40	tff(f138,plain,(
0.13/0.40	  spl2_11 <=> ($false != $true)),
0.13/0.40	  introduced(avatar_definition,[new_symbols(naming,[spl2_11])])).
0.13/0.40	tff(f146,plain,(
0.13/0.40	  ($false = $true) | (~spl2_0 | ~spl2_4)),
0.13/0.40	  inference(forward_demodulation,[],[f26,f39])).
0.13/0.40	tff(f147,plain,(
0.13/0.40	  $false | (~spl2_0 | ~spl2_4)),
0.13/0.40	  inference(trivial_inequality_removal,[],[f146])).
0.13/0.40	tff(f148,plain,(
0.13/0.40	  ~spl2_0 | ~spl2_4),
0.13/0.40	  inference(avatar_contradiction_clause,[],[f147])).
0.13/0.40	tff(f151,plain,(
0.13/0.40	  ($false != $true) | ($false = sK1) | ~spl2_5),
0.13/0.40	  inference(fool_paramodulation,[],[f36])).
0.13/0.40	tff(f152,plain,(
0.13/0.40	  spl2_4 | ~spl2_11 | spl2_5),
0.13/0.40	  inference(avatar_split_clause,[],[f151,f35,f138,f38])).
0.13/0.40	tff(f153,plain,(
0.13/0.40	  ($false != sK0) | ($true != sK0) | ($false = $true)),
0.13/0.40	  introduced(theory_axiom,[])).
0.13/0.40	tff(f170,plain,(
0.13/0.40	  (vNOT @ sK0 = $false) | (vNOT @ sK1 = $true)),
0.13/0.40	  inference(primitive_instantiation,[],[f18])).
0.13/0.40	tff(f205,plain,(
0.13/0.40	  (vNOT @ sK0 = $false) | ($false = sK1)),
0.13/0.40	  inference(not_proxy_clausification,[],[f170])).
0.13/0.40	tff(f206,plain,(
0.13/0.40	  ($true = sK0) | ($false = sK1)),
0.13/0.40	  inference(not_proxy_clausification,[],[f205])).
0.13/0.40	tff(f293,plain,(
0.13/0.40	  spl2_4 | spl2_2),
0.13/0.40	  inference(avatar_split_clause,[],[f206,f31,f38])).
0.13/0.40	tff(f296,plain,(
0.13/0.40	  ($true = sK0) | ($true = sK1)),
0.13/0.40	  inference(global_subsumption,[],[f19])).
0.13/0.40	tff(f298,plain,(
0.13/0.40	  ($false = sK0) | ($false = sK1)),
0.13/0.40	  inference(global_subsumption,[],[f20])).
0.13/0.40	tff(f300,plain,(
0.13/0.40	  ($true = sK0) | ($true = sK1)),
0.13/0.40	  inference(global_subsumption,[],[f296])).
0.13/0.40	tff(f301,plain,(
0.13/0.40	  spl2_0 | spl2_2),
0.13/0.40	  inference(avatar_split_clause,[],[f300,f31,f25])).
0.13/0.40	tff(f302,plain,(
0.13/0.40	  ($false = sK0) | ($false = sK1)),
0.13/0.40	  inference(global_subsumption,[],[f298])).
0.13/0.40	tff(f303,plain,(
0.13/0.40	  spl2_4 | spl2_6),
0.13/0.40	  inference(avatar_split_clause,[],[f302,f44,f38])).
0.13/0.40	tff(f304,plain,(
0.13/0.40	  $false),
0.13/0.40	  inference(avatar_sat_refutation,[],[f130,f148,f152,f153,f293,f301,f303])).
0.13/0.40	% SZS output end Proof for theBenchmark
0.13/0.40	% (4101)------------------------------
0.13/0.40	% (4101)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.13/0.40	% (4101)Termination reason: Refutation
0.13/0.40	
0.13/0.40	% (4101)Memory used [KB]: 9850
0.13/0.40	% (4101)Time elapsed: 0.036 s
0.13/0.40	% (4101)------------------------------
0.13/0.40	% (4101)------------------------------
0.13/0.41	% (4091)Success in time 0.055 s
0.13/0.41	EOF