0.05/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.11	% Command    : run_vampire %s %d
0.11/0.31	% Computer   : n018.cluster.edu
0.11/0.31	% Model      : x86_64 x86_64
0.11/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.31	% Memory     : 8042.1875MB
0.11/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.31	% CPULimit   : 960
0.11/0.31	% WCLimit    : 120
0.11/0.31	% DateTime   : Thu Jul  2 08:54:52 EDT 2020
0.11/0.31	% CPUTime    : 
0.11/0.33	% (22212)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
0.11/0.34	% (22214)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
0.11/0.35	% (22208)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
0.11/0.35	% (22210)lrs+1010_8_add=off:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.11/0.35	% (22211)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=100000:afq=1.1:amm=off:anc=none:bd=off:bs=unit_only:fsr=off:gs=on:gsem=off:nm=32:nwc=10:sp=occurrence:urr=on:updr=off_14 on theBenchmark
0.11/0.35	% (22218)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
0.11/0.36	% (22226)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
0.11/0.36	% (22227)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
0.11/0.36	% (22207)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
0.11/0.36	% (22206)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
0.11/0.36	% (22217)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
0.11/0.36	% (22229)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:foolp=on:cnfonf=eager:afr=on:afp=1000:afq=1.1:amm=sco:anc=none:er=known:fsr=off:gs=on:gsem=off:lma=on:nm=2:newcnf=on:nwc=2:stl=30:sd=1:ss=axioms:st=5.0:sp=reverse_arity:updr=off_50 on theBenchmark
0.11/0.36	% (22213)lrs+4_3_av=off:br=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:nm=0:newcnf=on:nwc=1:stl=30:sp=occurrence:urr=on_32 on theBenchmark
0.11/0.37	% (22216)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
0.11/0.37	% (22234)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
0.17/0.37	% (22216)Refutation not found, incomplete strategy
0.17/0.37	% (22216)------------------------------
0.17/0.37	% (22216)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.17/0.37	% (22216)Termination reason: Refutation not found, incomplete strategy
0.17/0.37	
0.17/0.37	% (22216)Memory used [KB]: 9722
0.17/0.37	% (22216)Time elapsed: 0.042 s
0.17/0.37	% (22216)------------------------------
0.17/0.37	% (22216)------------------------------
0.17/0.37	% (22232)lrs+1_4_afp=100000:afq=1.2:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:anc=none:bd=off:cond=on:gs=on:gsem=off:nm=64:nwc=1:sd=2:ss=axioms:st=2.0:sos=all:updr=off_300 on theBenchmark
0.17/0.37	% (22225)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
0.17/0.37	% (22220)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
0.17/0.37	% (22209)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
0.17/0.38	% (22230)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark
0.17/0.38	% (22220)Refutation not found, incomplete strategy
0.17/0.38	% (22220)------------------------------
0.17/0.38	% (22220)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.17/0.38	% (22220)Termination reason: Refutation not found, incomplete strategy
0.17/0.38	
0.17/0.38	% (22220)Memory used [KB]: 5245
0.17/0.38	% (22220)Time elapsed: 0.037 s
0.17/0.38	% (22220)------------------------------
0.17/0.38	% (22220)------------------------------
0.17/0.38	% (22224)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark
0.17/0.38	% (22231)lrs+1010_8_add=off:afp=100000:csup=on:inj=off:foolp=on:chr=off:e2e=on:cnfonf=eager:afq=1.0:amm=off:anc=none:irw=on:nm=16:newcnf=on:nwc=1.1:nicw=on:stl=30:sp=reverse_arity:urr=on_13 on theBenchmark
0.17/0.38	% (22215)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
0.17/0.38	% (22223)lrs+1011_5:1_acc=on:csup=on:inj=on:e2e=on:prag=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_30 on theBenchmark
0.17/0.38	% (22228)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
0.17/0.38	% (22222)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
0.17/0.38	% (22233)lrs-11_4:1_afp=4000:csup=on:inj=on:mXXn=1:foolp=on:e2e=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_186 on theBenchmark
0.17/0.39	% (22235)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
0.17/0.39	% (22219)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
0.17/0.40	% (22221)ott+2_2_afp=10000:afq=1.4:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:amm=off:anc=none:gsp=input_only:gs=on:gsem=off:irw=on:lcm=predicate:nm=32:nwc=1.5:sos=on:sp=reverse_arity_7 on theBenchmark
0.17/0.44	% (22236)dis+1011_10_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=4000:afq=1.0:amm=off:anc=none:lma=on:nm=64:nwc=4:sac=on:sp=occurrence_75 on theBenchmark
0.17/0.46	% (22237)dis+1010_3:2_av=off:csup=on:prag=on:chr=on:foolp=on:bet=on:cnfonf=lazy_not_be_gen:gsp=input_only:nm=2:nwc=1:sp=reverse_arity:urr=ec_only_29 on theBenchmark
0.17/0.48	% (22218)Refutation found. Thanks to Tanya!
0.17/0.48	% SZS status Theorem for theBenchmark
0.17/0.48	% SZS output start Proof for theBenchmark
0.17/0.48	tff(func_def_0, type, a: '$tType').
0.17/0.48	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
0.17/0.48	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.17/0.48	tff(func_def_6, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.17/0.48	tff(func_def_9, type, sP0: (a -> a -> '$o') -> a -> a -> '$o').
0.17/0.48	tff(func_def_10, type, sP1: (a -> a -> '$o') -> a -> a -> '$o').
0.17/0.48	tff(func_def_11, type, sK2: (a -> a -> '$o') -> a -> a -> a -> a -> '$o').
0.17/0.48	tff(func_def_12, type, sK3: (a -> a -> '$o') -> a).
0.17/0.48	tff(func_def_13, type, sK4: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
0.17/0.48	tff(func_def_14, type, sK5: (a -> a -> '$o') -> (a -> a -> '$o') -> a).
0.17/0.48	tff(func_def_15, type, sK6: a -> a -> '$o').
0.17/0.48	tff(func_def_16, type, sK7: a).
0.17/0.48	tff(func_def_17, type, sK8: a).
0.17/0.48	tff(func_def_19, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.17/0.48	tff(func_def_20, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.17/0.48	tff(func_def_21, type, vAND: '$o' -> '$o' -> '$o').
0.17/0.48	tff(func_def_22, type, vOR: '$o' -> '$o' -> '$o').
0.17/0.48	tff(func_def_23, type, vIMP: '$o' -> '$o' -> '$o').
0.17/0.48	tff(func_def_24, type, vNOT: '$o' -> '$o').
0.17/0.48	tff(func_def_25, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.17/0.48	tff(func_def_26, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.17/0.48	tff(func_def_27, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.17/0.48	tff(func_def_28, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.17/0.48	tff(func_def_29, type, sK10: a).
0.17/0.48	tff(func_def_30, type, sK11: a).
0.17/0.48	tff(func_def_31, type, sK12: (a -> a -> '$o') -> a).
0.17/0.48	tff(func_def_32, type, sK13: (a -> a -> '$o') -> a).
0.17/0.48	tff(func_def_33, type, sK14: a).
0.17/0.48	tff(func_def_34, type, sK15: a).
0.17/0.48	tff(func_def_35, type, sK16: '$o' -> a).
0.17/0.48	tff(func_def_36, type, sK17: '$o' -> a).
0.17/0.48	tff(func_def_37, type, sK18: (a -> a -> '$o') -> a).
0.17/0.48	tff(func_def_38, type, sK19: (a -> a -> '$o') -> a).
0.17/0.48	tff(f1,conjecture,(
0.17/0.48	  ! [X0 : a -> a -> '$o',X1 : a,X2 : a] : (! [X3 : a -> a -> '$o'] : ((! [X4 : a] : X3 @ X4 @ X4 & ! [X4 : a,X5 : a] : (X0 @ X4 @ X5 => X3 @ X4 @ X5)) => X3 @ X1 @ X2) <=> (X1 = X2 | X0 @ X1 @ X2))),
0.17/0.48	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM523_pme)).
0.17/0.48	tff(f2,negated_conjecture,(
0.17/0.48	  ~! [X0 : a -> a -> '$o',X1 : a,X2 : a] : (! [X3 : a -> a -> '$o'] : ((! [X4 : a] : X3 @ X4 @ X4 & ! [X4 : a,X5 : a] : (X0 @ X4 @ X5 => X3 @ X4 @ X5)) => X3 @ X1 @ X2) <=> (X1 = X2 | X0 @ X1 @ X2))),
0.17/0.48	  inference(negated_conjecture,[],[f1])).
0.17/0.48	tff(f3,plain,(
0.17/0.48	  ~! [X0 : a -> a -> '$o',X1 : a,X2 : a] : (! [X3 : a -> a -> '$o'] : ((! [X4 : a] : X3 @ X4 @ X4 & ! [X5 : a,X6 : a] : (X0 @ X5 @ X6 => X3 @ X5 @ X6)) => X3 @ X1 @ X2) <=> (X1 = X2 | X0 @ X1 @ X2))),
0.17/0.48	  inference(rectify,[],[f2])).
0.17/0.48	tff(f4,plain,(
0.17/0.48	  ~! [X0 : a -> a -> '$o',X1 : a,X2 : a] : (! [X3 : a -> a -> '$o'] : ((! [X4 : a] : (X3 @ X4 @ X4 = $true) & ! [X5 : a,X6 : a] : ((X0 @ X5 @ X6 = $true) => (X3 @ X5 @ X6 = $true))) => (X3 @ X1 @ X2 = $true)) <=> (X1 = X2 | (X0 @ X1 @ X2 = $true)))),
0.17/0.48	  inference(fool_elimination,[],[f3])).
0.17/0.48	tff(f5,plain,(
0.17/0.48	  ? [X0 : a -> a -> '$o',X1 : a,X2 : a] : (! [X3 : a -> a -> '$o'] : ((X3 @ X1 @ X2 = $true) | (? [X4 : a] : (X3 @ X4 @ X4 != $true) | ? [X5 : a,X6 : a] : ((X3 @ X5 @ X6 != $true) & (X0 @ X5 @ X6 = $true)))) <~> (X1 = X2 | (X0 @ X1 @ X2 = $true)))),
0.17/0.48	  inference(ennf_transformation,[],[f4])).
0.17/0.48	tff(f6,plain,(
0.17/0.48	  ? [X0 : a -> a -> '$o',X1 : a,X2 : a] : (! [X3 : a -> a -> '$o'] : ((X3 @ X1 @ X2 = $true) | ? [X4 : a] : (X3 @ X4 @ X4 != $true) | ? [X5 : a,X6 : a] : ((X3 @ X5 @ X6 != $true) & (X0 @ X5 @ X6 = $true))) <~> (X1 = X2 | (X0 @ X1 @ X2 = $true)))),
0.17/0.48	  inference(flattening,[],[f5])).
0.17/0.48	tff(f7,plain,(
0.17/0.48	  ! [X2 : a,X1 : a,X0 : a -> a -> '$o'] : ((sP0 @ X0 @ X1 @ X2 = $true) <=> ! [X3 : a -> a -> '$o'] : ((X3 @ X1 @ X2 = $true) | ? [X4 : a] : (X3 @ X4 @ X4 != $true) | ? [X5 : a,X6 : a] : ((X3 @ X5 @ X6 != $true) & (X0 @ X5 @ X6 = $true))))),
0.17/0.48	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
0.17/0.48	tff(f8,plain,(
0.17/0.48	  ! [X2 : a,X1 : a,X0 : a -> a -> '$o'] : ((sP1 @ X0 @ X1 @ X2 = $true) <=> (X1 = X2 | (X0 @ X1 @ X2 = $true)))),
0.17/0.48	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
0.17/0.48	tff(f9,plain,(
0.17/0.48	  ? [X0 : a -> a -> '$o',X1 : a,X2 : a] : ((sP0 @ X0 @ X1 @ X2 = $true) <~> (sP1 @ X0 @ X1 @ X2 = $true))),
0.17/0.48	  inference(definition_folding,[],[f6,f8,f7])).
0.17/0.48	tff(f10,plain,(
0.17/0.48	  ! [X2 : a,X1 : a,X0 : a -> a -> '$o'] : (((sP1 @ X0 @ X1 @ X2 = $true) | (X1 != X2 & (X0 @ X1 @ X2 != $true))) & ((X1 = X2 | (X0 @ X1 @ X2 = $true)) | (sP1 @ X0 @ X1 @ X2 != $true)))),
0.17/0.48	  inference(nnf_transformation,[],[f8])).
0.17/0.48	tff(f11,plain,(
0.17/0.48	  ! [X2 : a,X1 : a,X0 : a -> a -> '$o'] : (((sP1 @ X0 @ X1 @ X2 = $true) | (X1 != X2 & (X0 @ X1 @ X2 != $true))) & (X1 = X2 | (X0 @ X1 @ X2 = $true) | (sP1 @ X0 @ X1 @ X2 != $true)))),
0.17/0.48	  inference(flattening,[],[f10])).
0.17/0.48	tff(f12,plain,(
0.17/0.48	  ! [X0 : a,X1 : a,X2 : a -> a -> '$o'] : (((sP1 @ X2 @ X1 @ X0 = $true) | (X0 != X1 & (X2 @ X1 @ X0 != $true))) & (X0 = X1 | (X2 @ X1 @ X0 = $true) | (sP1 @ X2 @ X1 @ X0 != $true)))),
0.17/0.48	  inference(rectify,[],[f11])).
0.17/0.48	tff(f13,plain,(
0.17/0.48	  ! [X2 : a,X1 : a,X0 : a -> a -> '$o'] : (((sP0 @ X0 @ X1 @ X2 = $true) | ? [X3 : a -> a -> '$o'] : ((X3 @ X1 @ X2 != $true) & ! [X4 : a] : (X3 @ X4 @ X4 = $true) & ! [X5 : a,X6 : a] : ((X3 @ X5 @ X6 = $true) | (X0 @ X5 @ X6 != $true)))) & (! [X3 : a -> a -> '$o'] : ((X3 @ X1 @ X2 = $true) | ? [X4 : a] : (X3 @ X4 @ X4 != $true) | ? [X5 : a,X6 : a] : ((X3 @ X5 @ X6 != $true) & (X0 @ X5 @ X6 = $true))) | (sP0 @ X0 @ X1 @ X2 != $true)))),
0.17/0.48	  inference(nnf_transformation,[],[f7])).
0.17/0.48	tff(f14,plain,(
0.17/0.48	  ! [X0 : a,X1 : a,X2 : a -> a -> '$o'] : (((sP0 @ X2 @ X1 @ X0 = $true) | ? [X3 : a -> a -> '$o'] : ((X3 @ X1 @ X0 != $true) & ! [X4 : a] : (X3 @ X4 @ X4 = $true) & ! [X5 : a,X6 : a] : ((X3 @ X5 @ X6 = $true) | (X2 @ X5 @ X6 != $true)))) & (! [X7 : a -> a -> '$o'] : ((X7 @ X1 @ X0 = $true) | ? [X8 : a] : (X7 @ X8 @ X8 != $true) | ? [X9 : a,X10 : a] : ((X7 @ X9 @ X10 != $true) & (X2 @ X9 @ X10 = $true))) | (sP0 @ X2 @ X1 @ X0 != $true)))),
0.17/0.48	  inference(rectify,[],[f13])).
0.17/0.48	tff(f15,plain,(
0.17/0.48	  ! [X2 : a -> a -> '$o',X1 : a,X0 : a] : (? [X3 : a -> a -> '$o'] : ((X3 @ X1 @ X0 != $true) & ! [X4 : a] : (X3 @ X4 @ X4 = $true) & ! [X5 : a,X6 : a] : ((X3 @ X5 @ X6 = $true) | (X2 @ X5 @ X6 != $true))) => ((sK2 @ X2 @ X1 @ X0 @ X1 @ X0 != $true) & ! [X4 : a] : (sK2 @ X2 @ X1 @ X0 @ X4 @ X4 = $true) & ! [X6 : a,X5 : a] : ((sK2 @ X2 @ X1 @ X0 @ X5 @ X6 = $true) | (X2 @ X5 @ X6 != $true))))),
0.17/0.48	  introduced(choice_axiom,[])).
0.17/0.48	tff(f16,plain,(
0.17/0.48	  ! [X7 : a -> a -> '$o'] : (? [X8 : a] : (X7 @ X8 @ X8 != $true) => (X7 @ (sK3 @ X7) @ (sK3 @ X7) != $true))),
0.17/0.48	  introduced(choice_axiom,[])).
0.17/0.48	tff(f17,plain,(
0.17/0.48	  ! [X7 : a -> a -> '$o',X2 : a -> a -> '$o'] : (? [X9 : a,X10 : a] : ((X7 @ X9 @ X10 != $true) & (X2 @ X9 @ X10 = $true)) => ((X7 @ (sK4 @ X7 @ X2) @ (sK5 @ X7 @ X2) != $true) & (X2 @ (sK4 @ X7 @ X2) @ (sK5 @ X7 @ X2) = $true)))),
0.17/0.48	  introduced(choice_axiom,[])).
0.17/0.48	tff(f18,plain,(
0.17/0.48	  ! [X0 : a,X1 : a,X2 : a -> a -> '$o'] : (((sP0 @ X2 @ X1 @ X0 = $true) | ((sK2 @ X2 @ X1 @ X0 @ X1 @ X0 != $true) & ! [X4 : a] : (sK2 @ X2 @ X1 @ X0 @ X4 @ X4 = $true) & ! [X5 : a,X6 : a] : ((sK2 @ X2 @ X1 @ X0 @ X5 @ X6 = $true) | (X2 @ X5 @ X6 != $true)))) & (! [X7 : a -> a -> '$o'] : ((X7 @ X1 @ X0 = $true) | (X7 @ (sK3 @ X7) @ (sK3 @ X7) != $true) | ((X7 @ (sK4 @ X7 @ X2) @ (sK5 @ X7 @ X2) != $true) & (X2 @ (sK4 @ X7 @ X2) @ (sK5 @ X7 @ X2) = $true))) | (sP0 @ X2 @ X1 @ X0 != $true)))),
0.17/0.48	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5])],[f14,f17,f16,f15])).
0.17/0.48	tff(f19,plain,(
0.17/0.48	  ? [X0 : a -> a -> '$o',X1 : a,X2 : a] : (((sP1 @ X0 @ X1 @ X2 != $true) | (sP0 @ X0 @ X1 @ X2 != $true)) & ((sP1 @ X0 @ X1 @ X2 = $true) | (sP0 @ X0 @ X1 @ X2 = $true)))),
0.17/0.48	  inference(nnf_transformation,[],[f9])).
0.17/0.48	tff(f20,plain,(
0.17/0.48	  ? [X0 : a -> a -> '$o',X1 : a,X2 : a] : (((sP1 @ X0 @ X1 @ X2 != $true) | (sP0 @ X0 @ X1 @ X2 != $true)) & ((sP1 @ X0 @ X1 @ X2 = $true) | (sP0 @ X0 @ X1 @ X2 = $true))) => (((sP1 @ sK6 @ sK7 @ sK8 != $true) | (sP0 @ sK6 @ sK7 @ sK8 != $true)) & ((sP1 @ sK6 @ sK7 @ sK8 = $true) | (sP0 @ sK6 @ sK7 @ sK8 = $true)))),
0.17/0.48	  introduced(choice_axiom,[])).
0.17/0.48	tff(f21,plain,(
0.17/0.48	  ((sP1 @ sK6 @ sK7 @ sK8 != $true) | (sP0 @ sK6 @ sK7 @ sK8 != $true)) & ((sP1 @ sK6 @ sK7 @ sK8 = $true) | (sP0 @ sK6 @ sK7 @ sK8 = $true))),
0.17/0.48	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8])],[f19,f20])).
0.17/0.48	tff(f22,plain,(
0.17/0.48	  ( ! [X2:a -> a -> '$o',X0:a,X1:a] : ((sP1 @ X2 @ X1 @ X0 != $true) | (X2 @ X1 @ X0 = $true) | X0 = X1) )),
0.17/0.48	  inference(cnf_transformation,[],[f12])).
0.17/0.49	tff(f23,plain,(
0.17/0.49	  ( ! [X2:a -> a -> '$o',X0:a,X1:a] : ((sP1 @ X2 @ X1 @ X0 = $true) | (X2 @ X1 @ X0 != $true)) )),
0.17/0.49	  inference(cnf_transformation,[],[f12])).
0.17/0.49	tff(f24,plain,(
0.17/0.49	  ( ! [X2:a -> a -> '$o',X0:a,X1:a] : ((sP1 @ X2 @ X1 @ X0 = $true) | X0 != X1) )),
0.17/0.49	  inference(cnf_transformation,[],[f12])).
0.17/0.49	tff(f25,plain,(
0.17/0.49	  ( ! [X2:a -> a -> '$o',X0:a,X7:a -> a -> '$o',X1:a] : ((X2 @ (sK4 @ X7 @ X2) @ (sK5 @ X7 @ X2) = $true) | (X7 @ (sK3 @ X7) @ (sK3 @ X7) != $true) | (X7 @ X1 @ X0 = $true) | (sP0 @ X2 @ X1 @ X0 != $true)) )),
0.17/0.49	  inference(cnf_transformation,[],[f18])).
0.17/0.49	tff(f26,plain,(
0.17/0.49	  ( ! [X2:a -> a -> '$o',X0:a,X7:a -> a -> '$o',X1:a] : ((X7 @ (sK4 @ X7 @ X2) @ (sK5 @ X7 @ X2) != $true) | (X7 @ (sK3 @ X7) @ (sK3 @ X7) != $true) | (X7 @ X1 @ X0 = $true) | (sP0 @ X2 @ X1 @ X0 != $true)) )),
0.17/0.49	  inference(cnf_transformation,[],[f18])).
0.17/0.49	tff(f27,plain,(
0.17/0.49	  ( ! [X6:a,X2:a -> a -> '$o',X0:a,X5:a,X1:a] : ((sK2 @ X2 @ X1 @ X0 @ X5 @ X6 = $true) | (sP0 @ X2 @ X1 @ X0 = $true) | (X2 @ X5 @ X6 != $true)) )),
0.17/0.49	  inference(cnf_transformation,[],[f18])).
0.17/0.49	tff(f28,plain,(
0.17/0.49	  ( ! [X4:a,X2:a -> a -> '$o',X0:a,X1:a] : ((sK2 @ X2 @ X1 @ X0 @ X4 @ X4 = $true) | (sP0 @ X2 @ X1 @ X0 = $true)) )),
0.17/0.49	  inference(cnf_transformation,[],[f18])).
0.17/0.49	tff(f29,plain,(
0.17/0.49	  ( ! [X2:a -> a -> '$o',X0:a,X1:a] : ((sK2 @ X2 @ X1 @ X0 @ X1 @ X0 != $true) | (sP0 @ X2 @ X1 @ X0 = $true)) )),
0.17/0.49	  inference(cnf_transformation,[],[f18])).
0.17/0.49	tff(f30,plain,(
0.17/0.49	  (sP1 @ sK6 @ sK7 @ sK8 = $true) | (sP0 @ sK6 @ sK7 @ sK8 = $true)),
0.17/0.49	  inference(cnf_transformation,[],[f21])).
0.17/0.49	tff(f31,plain,(
0.17/0.49	  (sP1 @ sK6 @ sK7 @ sK8 != $true) | (sP0 @ sK6 @ sK7 @ sK8 != $true)),
0.17/0.49	  inference(cnf_transformation,[],[f21])).
0.17/0.49	tff(f32,plain,(
0.17/0.49	  ( ! [X2:a -> a -> '$o',X1:a] : ((sP1 @ X2 @ X1 @ X1 = $true)) )),
0.17/0.49	  inference(equality_resolution,[],[f24])).
0.17/0.49	tff(f34,plain,(
0.17/0.49	  spl9_0 <=> (sP0 @ sK6 @ sK7 @ sK8 = $true)),
0.17/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl9_0])])).
0.17/0.49	tff(f35,plain,(
0.17/0.49	  (sP0 @ sK6 @ sK7 @ sK8 = $true) | ~spl9_0),
0.17/0.49	  inference(avatar_component_clause,[],[f34])).
0.17/0.49	tff(f37,plain,(
0.17/0.49	  spl9_1 <=> (sP0 @ sK6 @ sK7 @ sK8 != $true)),
0.17/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl9_1])])).
0.17/0.49	tff(f38,plain,(
0.17/0.49	  (sP0 @ sK6 @ sK7 @ sK8 != $true) | ~spl9_1),
0.17/0.49	  inference(avatar_component_clause,[],[f37])).
0.17/0.49	tff(f40,plain,(
0.17/0.49	  spl9_2 <=> (sP1 @ sK6 @ sK7 @ sK8 = $true)),
0.17/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl9_2])])).
0.17/0.49	tff(f41,plain,(
0.17/0.49	  (sP1 @ sK6 @ sK7 @ sK8 = $true) | ~spl9_2),
0.17/0.49	  inference(avatar_component_clause,[],[f40])).
0.17/0.49	tff(f43,plain,(
0.17/0.49	  spl9_3 <=> (sP1 @ sK6 @ sK7 @ sK8 != $true)),
0.17/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl9_3])])).
0.17/0.49	tff(f44,plain,(
0.17/0.49	  (sP1 @ sK6 @ sK7 @ sK8 != $true) | ~spl9_3),
0.17/0.49	  inference(avatar_component_clause,[],[f43])).
0.17/0.49	tff(f45,plain,(
0.17/0.49	  ~spl9_1 | ~spl9_3),
0.17/0.49	  inference(avatar_split_clause,[],[f31,f43,f37])).
0.17/0.49	tff(f46,plain,(
0.17/0.49	  spl9_0 | spl9_2),
0.17/0.49	  inference(avatar_split_clause,[],[f30,f40,f34])).
0.17/0.49	tff(f47,plain,(
0.17/0.49	  ($true != $true) | (sP0 @ sK6 @ sK7 @ sK8 = $false) | ~spl9_1),
0.17/0.49	  inference(fool_paramodulation,[],[f38])).
0.17/0.49	tff(f48,plain,(
0.17/0.49	  (sP0 @ sK6 @ sK7 @ sK8 = $false) | ~spl9_1),
0.17/0.49	  inference(trivial_inequality_removal,[],[f47])).
0.17/0.49	tff(f54,plain,(
0.17/0.49	  ($true != $true) | (sK6 @ sK7 @ sK8 = $true) | sK7 = sK8 | ~spl9_2),
0.17/0.49	  inference(superposition,[],[f22,f41])).
0.17/0.49	tff(f57,plain,(
0.17/0.49	  (sK6 @ sK7 @ sK8 = $true) | sK7 = sK8 | ~spl9_2),
0.17/0.49	  inference(trivial_inequality_removal,[],[f54])).
0.17/0.49	tff(f60,plain,(
0.17/0.49	  spl9_5 <=> sK7 != sK8),
0.17/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl9_5])])).
0.17/0.49	tff(f61,plain,(
0.17/0.49	  sK7 != sK8 | ~spl9_5),
0.17/0.49	  inference(avatar_component_clause,[],[f60])).
0.17/0.49	tff(f63,plain,(
0.17/0.49	  spl9_4 <=> sK7 = sK8),
0.17/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl9_4])])).
0.17/0.49	tff(f64,plain,(
0.17/0.49	  sK7 = sK8 | ~spl9_4),
0.17/0.49	  inference(avatar_component_clause,[],[f63])).
0.17/0.49	tff(f66,plain,(
0.17/0.49	  spl9_7 <=> (sK6 @ sK7 @ sK8 != $true)),
0.17/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl9_7])])).
0.17/0.49	tff(f69,plain,(
0.17/0.49	  spl9_6 <=> (sK6 @ sK7 @ sK8 = $true)),
0.17/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl9_6])])).
0.17/0.49	tff(f70,plain,(
0.17/0.49	  (sK6 @ sK7 @ sK8 = $true) | ~spl9_6),
0.17/0.49	  inference(avatar_component_clause,[],[f69])).
0.17/0.49	tff(f72,plain,(
0.17/0.49	  (sP0 @ sK6 @ sK7 @ sK7 = $false) | (~spl9_1 | ~spl9_4)),
0.17/0.49	  inference(backward_demodulation,[],[f64,f48])).
0.17/0.49	tff(f82,plain,(
0.17/0.49	  ( ! [X0:a -> a -> '$o',X1:a] : (($true != $true) | (sP0 @ X0 @ X1 @ X1 = $true) | (sP0 @ X0 @ X1 @ X1 = $true)) )),
0.17/0.49	  inference(superposition,[],[f29,f28])).
0.17/0.49	tff(f83,plain,(
0.17/0.49	  ( ! [X0:a -> a -> '$o',X1:a] : (($true != $true) | (sP0 @ X0 @ X1 @ X1 = $true)) )),
0.17/0.49	  inference(duplicate_literal_removal,[],[f82])).
0.17/0.49	tff(f84,plain,(
0.17/0.49	  ( ! [X0:a -> a -> '$o',X1:a] : ((sP0 @ X0 @ X1 @ X1 = $true)) )),
0.17/0.49	  inference(trivial_inequality_removal,[],[f83])).
0.17/0.49	tff(f87,plain,(
0.17/0.49	  ($false = $true) | (~spl9_1 | ~spl9_4)),
0.17/0.49	  inference(superposition,[],[f84,f72])).
0.17/0.49	tff(f91,plain,(
0.17/0.49	  $false | (~spl9_1 | ~spl9_4)),
0.17/0.49	  inference(trivial_inequality_removal,[],[f87])).
0.17/0.49	tff(f92,plain,(
0.17/0.49	  spl9_1 | ~spl9_4),
0.17/0.49	  inference(avatar_contradiction_clause,[],[f91])).
0.17/0.49	tff(f109,plain,(
0.17/0.49	  ($true != $true) | (sP1 @ sK6 @ sK7 @ sK8 = $false) | ~spl9_3),
0.17/0.49	  inference(fool_paramodulation,[],[f44])).
0.17/0.49	tff(f111,plain,(
0.17/0.49	  ($true != $true) | (sK6 @ sK7 @ sK8 != $true) | ~spl9_3),
0.17/0.49	  inference(superposition,[],[f44,f23])).
0.17/0.49	tff(f112,plain,(
0.17/0.49	  (sK6 @ sK7 @ sK8 != $true) | ~spl9_3),
0.17/0.49	  inference(trivial_inequality_removal,[],[f111])).
0.17/0.49	tff(f113,plain,(
0.17/0.49	  (sP1 @ sK6 @ sK7 @ sK8 = $false) | ~spl9_3),
0.17/0.49	  inference(trivial_inequality_removal,[],[f109])).
0.17/0.49	tff(f114,plain,(
0.17/0.49	  ~spl9_7 | spl9_3),
0.17/0.49	  inference(avatar_split_clause,[],[f112,f43,f66])).
0.17/0.49	tff(f137,plain,(
0.17/0.49	  ( ! [X8:a,X7:a -> a -> '$o',X9:a] : (($true != $true) | (sP0 @ X7 @ X8 @ X9 = $true) | (sP0 @ X7 @ X8 @ X9 = $true) | (X7 @ X8 @ X9 != $true)) )),
0.17/0.49	  inference(superposition,[],[f29,f27])).
0.17/0.49	tff(f138,plain,(
0.17/0.49	  ( ! [X8:a,X7:a -> a -> '$o',X9:a] : (($true != $true) | (sP0 @ X7 @ X8 @ X9 = $true) | (X7 @ X8 @ X9 != $true)) )),
0.17/0.49	  inference(duplicate_literal_removal,[],[f137])).
0.17/0.49	tff(f139,plain,(
0.17/0.49	  ( ! [X8:a,X7:a -> a -> '$o',X9:a] : ((sP0 @ X7 @ X8 @ X9 = $true) | (X7 @ X8 @ X9 != $true)) )),
0.17/0.49	  inference(trivial_inequality_removal,[],[f138])).
0.17/0.49	tff(f173,plain,(
0.17/0.49	  ( ! [X6:a,X4:a -> a -> '$o',X7:a,X5:a -> a -> '$o'] : (($true != $true) | (sP1 @ X4 @ (sK3 @ (sP1 @ X4)) @ (sK3 @ (sP1 @ X4)) != $true) | (sP1 @ X4 @ X6 @ X7 = $true) | (sP0 @ X5 @ X6 @ X7 != $true) | (X4 @ (sK4 @ (sP1 @ X4) @ X5) @ (sK5 @ (sP1 @ X4) @ X5) != $true)) )),
0.17/0.49	  inference(superposition,[],[f26,f23])).
0.17/0.49	tff(f183,plain,(
0.17/0.49	  ( ! [X6:a,X4:a -> a -> '$o',X7:a,X5:a -> a -> '$o'] : ((sP1 @ X4 @ (sK3 @ (sP1 @ X4)) @ (sK3 @ (sP1 @ X4)) != $true) | (sP1 @ X4 @ X6 @ X7 = $true) | (sP0 @ X5 @ X6 @ X7 != $true) | (X4 @ (sK4 @ (sP1 @ X4) @ X5) @ (sK5 @ (sP1 @ X4) @ X5) != $true)) )),
0.17/0.49	  inference(trivial_inequality_removal,[],[f173])).
0.17/0.49	tff(f197,plain,(
0.17/0.49	  ( ! [X6:a,X4:a -> a -> '$o',X7:a,X5:a -> a -> '$o'] : ((X4 @ (sK4 @ (sP1 @ X4) @ X5) @ (sK5 @ (sP1 @ X4) @ X5) != $true) | (sP0 @ X5 @ X6 @ X7 != $true) | (sP1 @ X4 @ X6 @ X7 = $true)) )),
0.17/0.49	  inference(subsumption_resolution,[],[f183,f32])).
0.17/0.49	tff(f867,plain,(
0.17/0.49	  ( ! [X24:a,X23:a,X21:a -> a -> '$o',X25:a,X22:a] : (($true != $true) | (sP0 @ X21 @ X22 @ X23 != $true) | (sP1 @ X21 @ X22 @ X23 = $true) | (sP1 @ X21 @ (sK3 @ (sP1 @ X21)) @ (sK3 @ (sP1 @ X21)) != $true) | (sP1 @ X21 @ X24 @ X25 = $true) | (sP0 @ X21 @ X24 @ X25 != $true)) )),
0.17/0.49	  inference(superposition,[],[f197,f25])).
0.17/0.49	tff(f868,plain,(
0.17/0.49	  ( ! [X24:a,X23:a,X21:a -> a -> '$o',X25:a,X22:a] : ((sP0 @ X21 @ X22 @ X23 != $true) | (sP1 @ X21 @ X22 @ X23 = $true) | (sP1 @ X21 @ (sK3 @ (sP1 @ X21)) @ (sK3 @ (sP1 @ X21)) != $true) | (sP1 @ X21 @ X24 @ X25 = $true) | (sP0 @ X21 @ X24 @ X25 != $true)) )),
0.17/0.49	  inference(trivial_inequality_removal,[],[f867])).
0.17/0.49	tff(f869,plain,(
0.17/0.49	  ( ! [X2:a,X0:a -> a -> '$o',X1:a] : ((sP0 @ X0 @ X1 @ X2 != $true) | (sP1 @ X0 @ X1 @ X2 = $true) | (sP1 @ X0 @ (sK3 @ (sP1 @ X0)) @ (sK3 @ (sP1 @ X0)) != $true) | (sP1 @ X0 @ X1 @ X2 = $true)) )),
0.17/0.49	  inference(condensation,[],[f868])).
0.17/0.49	tff(f870,plain,(
0.17/0.49	  ( ! [X2:a,X0:a -> a -> '$o',X1:a] : ((sP0 @ X0 @ X1 @ X2 != $true) | (sP1 @ X0 @ X1 @ X2 = $true) | (sP1 @ X0 @ (sK3 @ (sP1 @ X0)) @ (sK3 @ (sP1 @ X0)) != $true)) )),
0.17/0.49	  inference(duplicate_literal_removal,[],[f869])).
0.17/0.49	tff(f880,plain,(
0.17/0.49	  ( ! [X2:a,X0:a -> a -> '$o',X1:a] : ((sP1 @ X0 @ X1 @ X2 = $true) | (sP0 @ X0 @ X1 @ X2 != $true)) )),
0.17/0.49	  inference(subsumption_resolution,[],[f870,f32])).
0.17/0.49	tff(f896,plain,(
0.17/0.49	  ($false = $true) | (sP0 @ sK6 @ sK7 @ sK8 != $true) | ~spl9_3),
0.17/0.49	  inference(superposition,[],[f113,f880])).
0.17/0.49	tff(f909,plain,(
0.17/0.49	  (sP0 @ sK6 @ sK7 @ sK8 != $true) | ~spl9_3),
0.17/0.49	  inference(trivial_inequality_removal,[],[f896])).
0.17/0.49	tff(f920,plain,(
0.17/0.49	  $false | (~spl9_0 | ~spl9_3)),
0.17/0.49	  inference(subsumption_resolution,[],[f909,f35])).
0.17/0.49	tff(f921,plain,(
0.17/0.49	  ~spl9_0 | spl9_3),
0.17/0.49	  inference(avatar_contradiction_clause,[],[f920])).
0.17/0.49	tff(f928,plain,(
0.17/0.49	  (sK6 @ sK7 @ sK8 = $true) | (~spl9_2 | ~spl9_5)),
0.17/0.49	  inference(subsumption_resolution,[],[f57,f61])).
0.17/0.49	tff(f929,plain,(
0.17/0.49	  spl9_6 | ~spl9_2 | spl9_5),
0.17/0.49	  inference(avatar_split_clause,[],[f928,f60,f40,f69])).
0.17/0.49	tff(f934,plain,(
0.17/0.49	  ($true != $true) | (sK6 @ sK7 @ sK8 != $true) | ~spl9_1),
0.17/0.49	  inference(superposition,[],[f38,f139])).
0.17/0.49	tff(f935,plain,(
0.17/0.49	  (sK6 @ sK7 @ sK8 != $true) | ~spl9_1),
0.17/0.49	  inference(trivial_inequality_removal,[],[f934])).
0.17/0.49	tff(f938,plain,(
0.17/0.49	  $false | (~spl9_1 | ~spl9_6)),
0.17/0.49	  inference(subsumption_resolution,[],[f935,f70])).
0.17/0.49	tff(f939,plain,(
0.17/0.49	  spl9_1 | ~spl9_6),
0.17/0.49	  inference(avatar_contradiction_clause,[],[f938])).
0.17/0.49	tff(f940,plain,(
0.17/0.49	  $false),
0.17/0.49	  inference(avatar_sat_refutation,[],[f45,f46,f92,f114,f921,f929,f939])).
0.17/0.49	% SZS output end Proof for theBenchmark
0.17/0.49	% (22218)------------------------------
0.17/0.49	% (22218)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.17/0.49	% (22218)Termination reason: Refutation
0.17/0.49	
0.17/0.49	% (22218)Memory used [KB]: 6268
0.17/0.49	% (22218)Time elapsed: 0.152 s
0.17/0.49	% (22218)------------------------------
0.17/0.49	% (22218)------------------------------
0.17/0.49	% (22205)Success in time 0.163 s
0.17/0.49	EOF