0.12/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.12/0.13	% Command    : run_vampire %s %d
0.13/0.33	% Computer   : n017.cluster.edu
0.13/0.33	% Model      : x86_64 x86_64
0.13/0.33	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.33	% Memory     : 8042.1875MB
0.13/0.33	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.33	% CPULimit   : 960
0.13/0.33	% WCLimit    : 120
0.13/0.33	% DateTime   : Thu Jul  2 07:46:36 EDT 2020
0.13/0.33	% CPUTime    : 
0.13/0.35	% (20243)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
0.13/0.36	% (20231)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
0.13/0.37	% (20240)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
0.13/0.38	% (20252)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
0.13/0.38	% (20235)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
0.13/0.38	% (20241)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
0.13/0.38	% (20242)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	% (20244)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
0.13/0.38	% (20248)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
0.13/0.39	% (20239)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
0.13/0.39	% (20230)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	% (20245)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
0.13/0.40	% (20236)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	% (20237)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
0.13/0.40	% (20232)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
0.13/0.40	% (20233)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	% (20246)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
0.13/0.40	% (20256)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
0.13/0.40	% (20253)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
0.13/0.40	% (20234)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
0.13/0.41	% (20255)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
0.13/0.41	% (20238)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
0.13/0.41	% (20259)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
0.13/0.41	% (20258)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
0.20/0.42	% (20257)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
0.20/0.42	% (20247)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
0.20/0.42	% (20249)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
0.20/0.42	% (20254)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
0.20/0.43	% (20250)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
0.20/0.43	% (20251)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
0.20/0.54	% (20243)Refutation found. Thanks to Tanya!
0.20/0.54	% SZS status Theorem for theBenchmark
0.20/0.54	% SZS output start Proof for theBenchmark
0.20/0.54	tff(func_def_5, type, ->: ('$tType' * '$tType') > '$tType').
0.20/0.54	tff(func_def_6, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.20/0.54	tff(func_def_7, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.20/0.54	tff(func_def_10, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.54	tff(func_def_11, type, sP0: ('$i' -> '$i') -> ('$i' -> '$i') -> '$o').
0.20/0.54	tff(func_def_12, type, sK1: ('$i' -> '$i') -> ('$i' -> '$i') -> ('$i' -> '$i') -> '$o').
0.20/0.54	tff(func_def_13, type, sK2: (('$i' -> '$i') -> '$o') -> ('$i' -> '$i') -> '$i' -> '$i').
0.20/0.54	tff(func_def_14, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.20/0.54	tff(func_def_15, type, vAND: '$o' -> '$o' -> '$o').
0.20/0.54	tff(func_def_16, type, vOR: '$o' -> '$o' -> '$o').
0.20/0.54	tff(func_def_17, type, vIMP: '$o' -> '$o' -> '$o').
0.20/0.54	tff(func_def_18, type, vNOT: '$o' -> '$o').
0.20/0.54	tff(func_def_19, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.20/0.54	tff(func_def_20, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.54	tff(func_def_21, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.20/0.54	tff(func_def_22, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.20/0.54	tff(func_def_23, type, sK3: ('$i' -> '$i') -> ('$i' -> '$i') -> '$i').
0.20/0.54	tff(func_def_24, type, sK4: ('$i' -> '$i') -> ('$i' -> '$i') -> '$i').
0.20/0.54	tff(func_def_25, type, sK5: ('$i' -> '$i') -> ('$i' -> '$i') -> '$i').
0.20/0.54	tff(func_def_26, type, sK6: '$i' -> ('$i' -> '$i') -> '$i').
0.20/0.56	tff(f1,conjecture,(
0.20/0.56	  b != a => ~! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X2 : ('$i' -> '$i') -> '$o'] : ((! [X4 : '$i' -> '$i'] : (X2 @ X4 => X2 @ (^[X3 : '$i'] : X0 @ (X4 @ X3))) & X2 @ X0) => X2 @ (^[X3 : '$i'] : X1 @ (X0 @ X3))) => ! [X2 : ('$i' -> '$i') -> '$o'] : ((! [X5 : '$i' -> '$i'] : (X2 @ X5 => X2 @ (^[X3 : '$i'] : X0 @ (X5 @ X3))) & X2 @ X0) => X2 @ X1))),
0.20/0.56	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM196B_pme)).
0.20/0.56	tff(f2,negated_conjecture,(
0.20/0.56	  ~(b != a => ~! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X2 : ('$i' -> '$i') -> '$o'] : ((! [X4 : '$i' -> '$i'] : (X2 @ X4 => X2 @ (^[X3 : '$i'] : X0 @ (X4 @ X3))) & X2 @ X0) => X2 @ (^[X3 : '$i'] : X1 @ (X0 @ X3))) => ! [X2 : ('$i' -> '$i') -> '$o'] : ((! [X5 : '$i' -> '$i'] : (X2 @ X5 => X2 @ (^[X3 : '$i'] : X0 @ (X5 @ X3))) & X2 @ X0) => X2 @ X1)))),
0.20/0.56	  inference(negated_conjecture,[],[f1])).
0.20/0.56	tff(f3,plain,(
0.20/0.56	  ~(b != a => ~! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X2 : ('$i' -> '$i') -> '$o'] : ((! [X3 : '$i' -> '$i'] : (X2 @ X3 => X2 @ (^[X4 : '$i'] : X0 @ (X3 @ X4))) & X2 @ X0) => X2 @ (^[X5 : '$i'] : X1 @ (X0 @ X5))) => ! [X6 : ('$i' -> '$i') -> '$o'] : ((! [X7 : '$i' -> '$i'] : (X6 @ X7 => X6 @ (^[X8 : '$i'] : X0 @ (X7 @ X8))) & X6 @ X0) => X6 @ X1)))),
0.20/0.56	  inference(rectify,[],[f2])).
0.20/0.56	tff(f4,plain,(
0.20/0.56	  ~(b != a => ~! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X2 : ('$i' -> '$i') -> '$o'] : ((! [X3 : '$i' -> '$i'] : ((X2 @ X3 = $true) => (X2 @ (bCOMB @ X0 @ X3) = $true)) & (X2 @ X0 = $true)) => (X2 @ (bCOMB @ X1 @ X0) = $true)) => ! [X6 : ('$i' -> '$i') -> '$o'] : ((! [X7 : '$i' -> '$i'] : ((X6 @ X7 = $true) => (X6 @ (bCOMB @ X0 @ X7) = $true)) & (X6 @ X0 = $true)) => (X6 @ X1 = $true))))),
0.20/0.56	  inference(fool_elimination,[],[f3])).
0.20/0.56	tff(f5,plain,(
0.20/0.56	  ~(b != a => ~! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X2 : ('$i' -> '$i') -> '$o'] : ((! [X3 : '$i' -> '$i'] : ((X2 @ X3 = $true) => (X2 @ (bCOMB @ X0 @ X3) = $true)) & (X2 @ X0 = $true)) => (X2 @ (bCOMB @ X1 @ X0) = $true)) => ! [X4 : ('$i' -> '$i') -> '$o'] : ((! [X5 : '$i' -> '$i'] : ((X4 @ X5 = $true) => (X4 @ (bCOMB @ X0 @ X5) = $true)) & (X4 @ X0 = $true)) => (X4 @ X1 = $true))))),
0.20/0.56	  inference(rectify,[],[f4])).
0.20/0.56	tff(f6,plain,(
0.20/0.56	  ! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X4 : ('$i' -> '$i') -> '$o'] : ((X4 @ X1 = $true) | (? [X5 : '$i' -> '$i'] : ((X4 @ (bCOMB @ X0 @ X5) != $true) & (X4 @ X5 = $true)) | (X4 @ X0 != $true))) | ? [X2 : ('$i' -> '$i') -> '$o'] : ((X2 @ (bCOMB @ X1 @ X0) != $true) & (! [X3 : '$i' -> '$i'] : ((X2 @ (bCOMB @ X0 @ X3) = $true) | (X2 @ X3 != $true)) & (X2 @ X0 = $true)))) & b != a),
0.20/0.56	  inference(ennf_transformation,[],[f5])).
0.20/0.56	tff(f7,plain,(
0.20/0.56	  ! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X4 : ('$i' -> '$i') -> '$o'] : ((X4 @ X1 = $true) | ? [X5 : '$i' -> '$i'] : ((X4 @ (bCOMB @ X0 @ X5) != $true) & (X4 @ X5 = $true)) | (X4 @ X0 != $true)) | ? [X2 : ('$i' -> '$i') -> '$o'] : ((X2 @ (bCOMB @ X1 @ X0) != $true) & ! [X3 : '$i' -> '$i'] : ((X2 @ (bCOMB @ X0 @ X3) = $true) | (X2 @ X3 != $true)) & (X2 @ X0 = $true))) & b != a),
0.20/0.56	  inference(flattening,[],[f6])).
0.20/0.56	tff(f8,plain,(
0.20/0.56	  ! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (? [X2 : ('$i' -> '$i') -> '$o'] : ((X2 @ (bCOMB @ X1 @ X0) != $true) & ! [X3 : '$i' -> '$i'] : ((X2 @ (bCOMB @ X0 @ X3) = $true) | (X2 @ X3 != $true)) & (X2 @ X0 = $true)) | ~(sP0 @ X1 @ X0 = $true))),
0.20/0.56	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
0.20/0.56	tff(f9,plain,(
0.20/0.56	  ! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X4 : ('$i' -> '$i') -> '$o'] : ((X4 @ X1 = $true) | ? [X5 : '$i' -> '$i'] : ((X4 @ (bCOMB @ X0 @ X5) != $true) & (X4 @ X5 = $true)) | (X4 @ X0 != $true)) | (sP0 @ X1 @ X0 = $true)) & b != a),
0.20/0.56	  inference(definition_folding,[],[f7,f8])).
0.20/0.56	tff(f10,plain,(
0.20/0.56	  ! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (? [X2 : ('$i' -> '$i') -> '$o'] : ((X2 @ (bCOMB @ X1 @ X0) != $true) & ! [X3 : '$i' -> '$i'] : ((X2 @ (bCOMB @ X0 @ X3) = $true) | (X2 @ X3 != $true)) & (X2 @ X0 = $true)) | (sP0 @ X1 @ X0 != $true))),
0.20/0.56	  inference(nnf_transformation,[],[f8])).
0.20/0.56	tff(f11,plain,(
0.20/0.56	  ! [X1 : '$i' -> '$i',X0 : '$i' -> '$i'] : (? [X2 : ('$i' -> '$i') -> '$o'] : ((X2 @ (bCOMB @ X1 @ X0) != $true) & ! [X3 : '$i' -> '$i'] : ((X2 @ (bCOMB @ X0 @ X3) = $true) | (X2 @ X3 != $true)) & (X2 @ X0 = $true)) => ((sK1 @ X1 @ X0 @ (bCOMB @ X1 @ X0) != $true) & ! [X3 : '$i' -> '$i'] : ((sK1 @ X1 @ X0 @ (bCOMB @ X0 @ X3) = $true) | (sK1 @ X1 @ X0 @ X3 != $true)) & (sK1 @ X1 @ X0 @ X0 = $true)))),
0.20/0.56	  introduced(choice_axiom,[])).
0.20/0.56	tff(f12,plain,(
0.20/0.56	  ! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (((sK1 @ X1 @ X0 @ (bCOMB @ X1 @ X0) != $true) & ! [X3 : '$i' -> '$i'] : ((sK1 @ X1 @ X0 @ (bCOMB @ X0 @ X3) = $true) | (sK1 @ X1 @ X0 @ X3 != $true)) & (sK1 @ X1 @ X0 @ X0 = $true)) | (sP0 @ X1 @ X0 != $true))),
0.20/0.56	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f10,f11])).
0.20/0.56	tff(f13,plain,(
0.20/0.56	  ! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X2 : ('$i' -> '$i') -> '$o'] : ((X2 @ X1 = $true) | ? [X3 : '$i' -> '$i'] : ((X2 @ (bCOMB @ X0 @ X3) != $true) & (X2 @ X3 = $true)) | (X2 @ X0 != $true)) | (sP0 @ X1 @ X0 = $true)) & b != a),
0.20/0.56	  inference(rectify,[],[f9])).
0.20/0.56	tff(f14,plain,(
0.20/0.56	  ! [X2 : ('$i' -> '$i') -> '$o',X0 : '$i' -> '$i'] : (? [X3 : '$i' -> '$i'] : ((X2 @ (bCOMB @ X0 @ X3) != $true) & (X2 @ X3 = $true)) => ((X2 @ (bCOMB @ X0 @ (sK2 @ X2 @ X0)) != $true) & (X2 @ (sK2 @ X2 @ X0) = $true)))),
0.20/0.56	  introduced(choice_axiom,[])).
0.20/0.56	tff(f15,plain,(
0.20/0.56	  ! [X0 : '$i' -> '$i',X1 : '$i' -> '$i'] : (! [X2 : ('$i' -> '$i') -> '$o'] : ((X2 @ X1 = $true) | ((X2 @ (bCOMB @ X0 @ (sK2 @ X2 @ X0)) != $true) & (X2 @ (sK2 @ X2 @ X0) = $true)) | (X2 @ X0 != $true)) | (sP0 @ X1 @ X0 = $true)) & b != a),
0.20/0.56	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f13,f14])).
0.20/0.56	tff(f16,plain,(
0.20/0.56	  ( ! [X0:'$i' -> '$i',X1:'$i' -> '$i'] : ((sP0 @ X1 @ X0 != $true) | (sK1 @ X1 @ X0 @ X0 = $true)) )),
0.20/0.56	  inference(cnf_transformation,[],[f12])).
0.20/0.56	tff(f18,plain,(
0.20/0.56	  ( ! [X0:'$i' -> '$i',X1:'$i' -> '$i'] : ((sK1 @ X1 @ X0 @ (bCOMB @ X1 @ X0) != $true) | (sP0 @ X1 @ X0 != $true)) )),
0.20/0.56	  inference(cnf_transformation,[],[f12])).
0.20/0.56	tff(f19,plain,(
0.20/0.56	  b != a),
0.20/0.56	  inference(cnf_transformation,[],[f15])).
0.20/0.56	tff(f21,plain,(
0.20/0.56	  ( ! [X2:('$i' -> '$i') -> '$o',X0:'$i' -> '$i',X1:'$i' -> '$i'] : ((X2 @ (bCOMB @ X0 @ (sK2 @ X2 @ X0)) != $true) | (X2 @ X1 = $true) | (X2 @ X0 != $true) | (sP0 @ X1 @ X0 = $true)) )),
0.20/0.56	  inference(cnf_transformation,[],[f15])).
0.20/0.56	tff(f80,plain,(
0.20/0.56	  ( ! [X0:'$i' -> '$i',X1:'$i' -> '$i'] : ((bCOMB @ vNOT @ (vEQ('$i' -> '$i') @ X1) @ X0 != $true) | (sP0 @ X1 @ X0 = $true) | bCOMB @ X0 @ (sK2 @ (bCOMB @ vNOT @ (vEQ('$i' -> '$i') @ X1)) @ X0) = X1) )),
0.20/0.56	  inference(leibniz_equality_elimination,[],[f21])).
0.20/0.56	tff(f106,plain,(
0.20/0.56	  ( ! [X0:'$i' -> '$i',X1:'$i' -> '$i'] : ((vNOT @ (vEQ('$i' -> '$i') @ X1 @ X0) != $true) | (sP0 @ X1 @ X0 = $true) | bCOMB @ X0 @ (sK2 @ (bCOMB @ vNOT @ (vEQ('$i' -> '$i') @ X1)) @ X0) = X1) )),
0.20/0.56	  inference(combinator_demodulation,[],[f80])).
0.20/0.56	tff(f107,plain,(
0.20/0.56	  ( ! [X0:'$i' -> '$i',X1:'$i' -> '$i'] : ((vEQ('$i' -> '$i') @ X1 @ X0 = $true) | (sP0 @ X1 @ X0 = $true) | bCOMB @ X0 @ (sK2 @ (bCOMB @ vNOT @ (vEQ('$i' -> '$i') @ X1)) @ X0) = X1) )),
0.20/0.56	  inference(not_proxy_clausification,[],[f106])).
0.20/0.56	tff(f108,plain,(
0.20/0.56	  ( ! [X0:'$i' -> '$i',X1:'$i' -> '$i'] : (bCOMB @ X0 @ (sK2 @ (bCOMB @ vNOT @ (vEQ('$i' -> '$i') @ X1)) @ X0) = X1 | (sP0 @ X1 @ X0 = $true) | X0 = X1) )),
0.20/0.56	  inference(equality_proxy_clausification,[],[f107])).
0.20/0.56	tff(f149,plain,(
0.20/0.56	  ( ! [X2,X0:'$i' -> '$i',X1:'$i' -> '$i'] : (X1 @ X2 = bCOMB @ X0 @ (sK2 @ (bCOMB @ vNOT @ (vEQ('$i' -> '$i') @ X1)) @ X0) @ X2 | (sP0 @ X1 @ X0 = $true) | X0 = X1) )),
0.20/0.56	  inference(argument_congruence,[],[f108])).
0.20/0.56	tff(f158,plain,(
0.20/0.56	  ( ! [X2,X0:'$i' -> '$i',X1:'$i' -> '$i'] : (X1 @ X2 = X0 @ (sK2 @ (bCOMB @ vNOT @ (vEQ('$i' -> '$i') @ X1)) @ X0 @ X2) | (sP0 @ X1 @ X0 = $true) | X0 = X1) )),
0.20/0.56	  inference(combinator_demodulation,[],[f149])).
0.20/0.56	tff(f449,plain,(
0.20/0.56	  ( ! [X17,X15,X16:'$i' -> '$i'] : ((sP0 @ X16 @ (kCOMB @ X15) = $true) | X16 @ X17 = X15 | kCOMB @ X15 = X16) )),
0.20/0.56	  inference(narrow,[],[f158])).
0.20/0.56	tff(f482,plain,(
0.20/0.56	  ( ! [X2,X0:'$i' -> '$i',X1] : (($true != $true) | (sK1 @ X0 @ (kCOMB @ X1) @ (kCOMB @ X1) = $true) | X0 @ X2 = X1 | kCOMB @ X1 = X0) )),
0.20/0.56	  inference(superposition,[],[f16,f449])).
0.20/0.56	tff(f491,plain,(
0.20/0.56	  ( ! [X2,X0:'$i' -> '$i',X1] : ((sK1 @ X0 @ (kCOMB @ X1) @ (kCOMB @ X1) = $true) | X0 @ X2 = X1 | kCOMB @ X1 = X0) )),
0.20/0.56	  inference(trivial_inequality_removal,[],[f482])).
0.20/0.56	tff(f500,plain,(
0.20/0.56	  ( ! [X10,X11,X9:'$i' -> '$i'] : (($true != $true) | (sP0 @ X9 @ (kCOMB @ X10) != $true) | X9 @ X11 = X10 | kCOMB @ X10 = X9 | kCOMB @ X10 != bCOMB @ X9 @ (kCOMB @ X10)) )),
0.20/0.56	  inference(superposition,[],[f18,f491])).
0.20/0.56	tff(f509,plain,(
0.20/0.56	  ( ! [X10,X11,X9:'$i' -> '$i'] : ((sP0 @ X9 @ (kCOMB @ X10) != $true) | X9 @ X11 = X10 | kCOMB @ X10 = X9 | kCOMB @ X10 != bCOMB @ X9 @ (kCOMB @ X10)) )),
0.20/0.56	  inference(trivial_inequality_removal,[],[f500])).
0.20/0.56	tff(f510,plain,(
0.20/0.56	  ( ! [X10,X11,X9:'$i' -> '$i'] : ((sP0 @ X9 @ (kCOMB @ X10) != $true) | X9 @ X11 = X10 | kCOMB @ X10 = X9 | kCOMB @ X10 != kCOMB @ (X9 @ X10)) )),
0.20/0.56	  inference(combinator_normalisation,[],[f509])).
0.20/0.56	tff(f515,plain,(
0.20/0.56	  ( ! [X10,X11,X9:'$i' -> '$i'] : (kCOMB @ X10 != kCOMB @ (X9 @ X10) | kCOMB @ X10 = X9 | X9 @ X11 = X10) )),
0.20/0.56	  inference(global_subsumption,[],[f449,f510])).
0.20/0.56	tff(f520,plain,(
0.20/0.56	  ( ! [X19,X18] : (kCOMB @ X18 != kCOMB @ X18 | kCOMB @ X18 = iCOMB | iCOMB @ X19 = X18) )),
0.20/0.56	  inference(narrow,[],[f515])).
0.20/0.56	tff(f533,plain,(
0.20/0.56	  ( ! [X19,X18] : (kCOMB @ X18 = iCOMB | iCOMB @ X19 = X18) )),
0.20/0.56	  inference(trivial_inequality_removal,[],[f520])).
0.20/0.56	tff(f534,plain,(
0.20/0.56	  ( ! [X19,X18] : (kCOMB @ X18 = iCOMB | X18 = X19) )),
0.20/0.56	  inference(combinator_demodulation,[],[f533])).
0.20/0.56	tff(f665,plain,(
0.20/0.56	  ( ! [X19,X20,X18] : (iCOMB @ X20 = kCOMB @ X18 @ X20 | X18 = X19) )),
0.20/0.56	  inference(argument_congruence,[],[f534])).
0.20/0.56	tff(f699,plain,(
0.20/0.56	  ( ! [X19,X20,X18] : (X18 = X20 | X18 = X19) )),
0.20/0.56	  inference(combinator_demodulation,[],[f665])).
0.20/0.56	tff(f703,plain,(
0.20/0.56	  $false),
0.20/0.56	  inference(unit_resulting_resolution,[],[f19,f19,f699])).
0.20/0.56	% SZS output end Proof for theBenchmark
0.20/0.56	% (20243)------------------------------
0.20/0.56	% (20243)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.56	% (20243)Termination reason: Refutation
0.20/0.56	
0.20/0.56	% (20243)Memory used [KB]: 7164
0.20/0.56	% (20243)Time elapsed: 0.188 s
0.20/0.56	% (20243)------------------------------
0.20/0.56	% (20243)------------------------------
0.20/0.56	% (20229)Success in time 0.224 s
0.20/0.57	EOF