0.03/0.13	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.13/0.14	% Command    : run_vampire %s %d
0.13/0.35	% Computer   : n021.cluster.edu
0.13/0.35	% Model      : x86_64 x86_64
0.13/0.35	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.35	% Memory     : 8042.1875MB
0.13/0.35	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.35	% CPULimit   : 960
0.13/0.35	% WCLimit    : 120
0.13/0.35	% DateTime   : Thu Jul  2 07:14:52 EDT 2020
0.13/0.35	% CPUTime    : 
0.21/0.39	% (30201)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
0.21/0.40	% (30204)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	% (30202)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
0.21/0.40	% (30214)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	% (30212)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
0.21/0.40	% (30213)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
0.21/0.41	% (30203)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
0.21/0.41	% (30224)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
0.21/0.41	% (30215)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
0.21/0.42	% (30207)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
0.21/0.42	% (30206)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
0.21/0.43	% (30217)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
0.21/0.43	% (30227)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
0.21/0.43	% (30225)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
0.21/0.43	% (30205)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
0.21/0.43	% (30220)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
0.21/0.43	% (30216)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
0.21/0.43	% (30226)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
0.21/0.43	% (30219)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
0.21/0.43	% (30228)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
0.21/0.43	% (30214)Refutation found. Thanks to Tanya!
0.21/0.43	% SZS status Theorem for theBenchmark
0.21/0.43	% SZS output start Proof for theBenchmark
0.21/0.43	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
0.21/0.43	tff(func_def_5, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.21/0.43	tff(func_def_6, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.21/0.43	tff(func_def_9, type, vOR: '$o' -> '$o' -> '$o').
0.21/0.43	tff(func_def_10, type, vNOT: '$o' -> '$o').
0.21/0.43	tff(func_def_11, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.21/0.43	tff(func_def_12, type, vAND: '$o' -> '$o' -> '$o').
0.21/0.43	tff(func_def_13, type, sP0: (('$i' -> '$o') -> ('$i' -> '$o') -> '$o') -> '$o').
0.21/0.43	tff(func_def_14, type, sK1: (('$i' -> '$o') -> ('$i' -> '$o') -> '$o') -> '$i' -> '$o').
0.21/0.43	tff(func_def_15, type, sK2: (('$i' -> '$o') -> ('$i' -> '$o') -> '$o') -> '$i' -> '$o').
0.21/0.43	tff(func_def_16, type, sK3: (('$i' -> '$o') -> ('$i' -> '$o') -> '$o') -> '$i' -> '$o').
0.21/0.43	tff(func_def_17, type, sK4: (('$i' -> '$o') -> ('$i' -> '$o') -> '$o') -> '$i' -> '$o').
0.21/0.43	tff(func_def_18, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.21/0.43	tff(func_def_19, type, vIMP: '$o' -> '$o' -> '$o').
0.21/0.43	tff(func_def_20, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.21/0.43	tff(func_def_21, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.21/0.43	tff(func_def_22, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.21/0.43	tff(func_def_23, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.21/0.43	tff(f1,conjecture,(
0.21/0.43	  ? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (~X0 @ (^[X1 : '$i'] : cP | ~cP) @ (^[X1 : '$i'] : cP & ~cP) & ! [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : ((X0 @ X1 @ X2 & X0 @ X2 @ X3) => X0 @ X1 @ X3) & ! [X1 : '$i' -> '$o'] : X0 @ X1 @ X1)),
0.21/0.43	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM120J_pme)).
0.21/0.43	tff(f2,negated_conjecture,(
0.21/0.43	  ~? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (~X0 @ (^[X1 : '$i'] : cP | ~cP) @ (^[X1 : '$i'] : cP & ~cP) & ! [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : ((X0 @ X1 @ X2 & X0 @ X2 @ X3) => X0 @ X1 @ X3) & ! [X1 : '$i' -> '$o'] : X0 @ X1 @ X1)),
0.21/0.43	  inference(negated_conjecture,[],[f1])).
0.21/0.43	tff(f3,plain,(
0.21/0.43	  ~? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (~X0 @ (^[X1 : '$i'] : cP | ~cP) @ (^[X2 : '$i'] : cP & ~cP) & ! [X3 : '$i' -> '$o',X4 : '$i' -> '$o',X5 : '$i' -> '$o'] : ((X0 @ X3 @ X4 & X0 @ X4 @ X5) => X0 @ X3 @ X5) & ! [X6 : '$i' -> '$o'] : X0 @ X6 @ X6)),
0.21/0.43	  inference(rectify,[],[f2])).
0.21/0.43	tff(f4,plain,(
0.21/0.43	  ~? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (~(X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ (vAND @ (vNOT @ cP) @ cP)) = $true) & ! [X3 : '$i' -> '$o',X4 : '$i' -> '$o',X5 : '$i' -> '$o'] : (((X0 @ X3 @ X4 = $true) & (X0 @ X4 @ X5 = $true)) => (X0 @ X3 @ X5 = $true)) & ! [X6 : '$i' -> '$o'] : (X0 @ X6 @ X6 = $true))),
0.21/0.43	  inference(fool_elimination,[],[f3])).
0.21/0.43	tff(f5,plain,(
0.21/0.43	  ~? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (~(X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ (vAND @ (vNOT @ cP) @ cP)) = $true) & ! [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : (((X0 @ X1 @ X2 = $true) & (X0 @ X2 @ X3 = $true)) => (X0 @ X1 @ X3 = $true)) & ! [X4 : '$i' -> '$o'] : (X0 @ X4 @ X4 = $true))),
0.21/0.43	  inference(rectify,[],[f4])).
0.21/0.43	tff(f6,plain,(
0.21/0.43	  ~? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ (vAND @ (vNOT @ cP) @ cP)) != $true) & ! [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : (((X0 @ X1 @ X2 = $true) & (X0 @ X2 @ X3 = $true)) => (X0 @ X1 @ X3 = $true)) & ! [X4 : '$i' -> '$o'] : (X0 @ X4 @ X4 = $true))),
0.21/0.43	  inference(flattening,[],[f5])).
0.21/0.43	tff(f7,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ (vAND @ (vNOT @ cP) @ cP)) = $true) | ? [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : ((X0 @ X1 @ X3 != $true) & ((X0 @ X1 @ X2 = $true) & (X0 @ X2 @ X3 = $true))) | ? [X4 : '$i' -> '$o'] : (X0 @ X4 @ X4 != $true))),
0.21/0.43	  inference(ennf_transformation,[],[f6])).
0.21/0.43	tff(f8,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ (vAND @ (vNOT @ cP) @ cP)) = $true) | ? [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : ((X0 @ X1 @ X3 != $true) & (X0 @ X1 @ X2 = $true) & (X0 @ X2 @ X3 = $true)) | ? [X4 : '$i' -> '$o'] : (X0 @ X4 @ X4 != $true))),
0.21/0.43	  inference(flattening,[],[f7])).
0.21/0.43	tff(f9,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : ((X0 @ X1 @ X3 != $true) & (X0 @ X1 @ X2 = $true) & (X0 @ X2 @ X3 = $true)) | ~(sP0 @ X0 = $true))),
0.21/0.43	  introduced(predicate_definition_introduction,[new_symbols(naming,[=])])).
0.21/0.43	tff(f10,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ (vAND @ (vNOT @ cP) @ cP)) = $true) | (sP0 @ X0 = $true) | ? [X4 : '$i' -> '$o'] : (X0 @ X4 @ X4 != $true))),
0.21/0.43	  inference(definition_folding,[],[f8,f9])).
0.21/0.43	tff(f11,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : ((X0 @ X1 @ X3 != $true) & (X0 @ X1 @ X2 = $true) & (X0 @ X2 @ X3 = $true)) | (sP0 @ X0 != $true))),
0.21/0.43	  inference(nnf_transformation,[],[f9])).
0.21/0.43	tff(f12,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : ((X0 @ X1 @ X3 != $true) & (X0 @ X1 @ X2 = $true) & (X0 @ X2 @ X3 = $true)) => ((X0 @ (sK1 @ X0) @ (sK3 @ X0) != $true) & (X0 @ (sK1 @ X0) @ (sK2 @ X0) = $true) & (X0 @ (sK2 @ X0) @ (sK3 @ X0) = $true)))),
0.21/0.43	  introduced(choice_axiom,[])).
0.21/0.43	tff(f13,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (((X0 @ (sK1 @ X0) @ (sK3 @ X0) != $true) & (X0 @ (sK1 @ X0) @ (sK2 @ X0) = $true) & (X0 @ (sK2 @ X0) @ (sK3 @ X0) = $true)) | (sP0 @ X0 != $true))),
0.21/0.43	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3])],[f11,f12])).
0.21/0.43	tff(f14,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ (vAND @ (vNOT @ cP) @ cP)) = $true) | (sP0 @ X0 = $true) | ? [X1 : '$i' -> '$o'] : (X0 @ X1 @ X1 != $true))),
0.21/0.43	  inference(rectify,[],[f10])).
0.21/0.43	tff(f15,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X1 : '$i' -> '$o'] : (X0 @ X1 @ X1 != $true) => (X0 @ (sK4 @ X0) @ (sK4 @ X0) != $true))),
0.21/0.43	  introduced(choice_axiom,[])).
0.21/0.43	tff(f16,plain,(
0.21/0.43	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ (vAND @ (vNOT @ cP) @ cP)) = $true) | (sP0 @ X0 = $true) | (X0 @ (sK4 @ X0) @ (sK4 @ X0) != $true))),
0.21/0.43	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f14,f15])).
0.21/0.43	tff(f17,plain,(
0.21/0.43	  ( ! [X0:('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((sP0 @ X0 != $true) | (X0 @ (sK2 @ X0) @ (sK3 @ X0) = $true)) )),
0.21/0.43	  inference(cnf_transformation,[],[f13])).
0.21/0.43	tff(f18,plain,(
0.21/0.43	  ( ! [X0:('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((sP0 @ X0 != $true) | (X0 @ (sK1 @ X0) @ (sK2 @ X0) = $true)) )),
0.21/0.43	  inference(cnf_transformation,[],[f13])).
0.21/0.43	tff(f19,plain,(
0.21/0.43	  ( ! [X0:('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (sK1 @ X0) @ (sK3 @ X0) != $true) | (sP0 @ X0 != $true)) )),
0.21/0.43	  inference(cnf_transformation,[],[f13])).
0.21/0.43	tff(f20,plain,(
0.21/0.43	  ( ! [X0:('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ (vAND @ (vNOT @ cP) @ cP)) = $true) | (sP0 @ X0 = $true) | (X0 @ (sK4 @ X0) @ (sK4 @ X0) != $true)) )),
0.21/0.43	  inference(cnf_transformation,[],[f16])).
0.21/0.43	tff(f21,plain,(
0.21/0.43	  ( ! [X0:('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (kCOMB @ (vOR @ (vNOT @ cP) @ cP)) @ (kCOMB @ $false) = $true) | (sP0 @ X0 = $true) | (X0 @ (sK4 @ X0) @ (sK4 @ X0) != $true)) )),
0.21/0.43	  inference(boolean_simplification,[],[f20])).
0.21/0.43	tff(f22,plain,(
0.21/0.43	  ( ! [X0:('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : ((X0 @ (sK4 @ X0) @ (sK4 @ X0) != $true) | (sP0 @ X0 = $true) | (X0 @ (kCOMB @ $true) @ (kCOMB @ $false) = $true)) )),
0.21/0.43	  inference(boolean_simplification,[],[f21])).
0.21/0.43	tff(f24,plain,(
0.21/0.43	  (vEQ('$i' -> '$o') @ (sK4 @ vEQ('$i' -> '$o')) @ (sK4 @ vEQ('$i' -> '$o')) != $true) | (sP0 @ vEQ('$i' -> '$o') = $true) | (vEQ('$i' -> '$o') @ (kCOMB @ $true) @ (kCOMB @ $false) = $true)),
0.21/0.43	  inference(primitive_instantiation,[],[f22])).
0.21/0.43	tff(f35,plain,(
0.21/0.43	  ($true != $true) | (sP0 @ vEQ('$i' -> '$o') = $true) | (vEQ('$i' -> '$o') @ (kCOMB @ $true) @ (kCOMB @ $false) = $true)),
0.21/0.43	  inference(boolean_simplification,[],[f24])).
0.21/0.43	tff(f36,plain,(
0.21/0.43	  (sP0 @ vEQ('$i' -> '$o') = $true) | (vEQ('$i' -> '$o') @ (kCOMB @ $true) @ (kCOMB @ $false) = $true)),
0.21/0.43	  inference(trivial_inequality_removal,[],[f35])).
0.21/0.43	tff(f37,plain,(
0.21/0.43	  kCOMB @ $false = kCOMB @ $true | (sP0 @ vEQ('$i' -> '$o') = $true)),
0.21/0.43	  inference(equality_proxy_clausification,[],[f36])).
0.21/0.43	tff(f43,plain,(
0.21/0.43	  ( ! [X1] : ((kCOMB @ $false @ X1 = kCOMB @ $true @ X1) | (sP0 @ vEQ('$i' -> '$o') = $true)) )),
0.21/0.43	  inference(argument_congruence,[],[f37])).
0.21/0.44	tff(f45,plain,(
0.21/0.44	  ($false = $true) | (sP0 @ vEQ('$i' -> '$o') = $true)),
0.21/0.44	  inference(combinator_demodulation,[],[f43])).
0.21/0.44	tff(f46,plain,(
0.21/0.44	  (sP0 @ vEQ('$i' -> '$o') = $true)),
0.21/0.44	  inference(trivial_inequality_removal,[],[f45])).
0.21/0.44	tff(f48,plain,(
0.21/0.44	  (vEQ('$i' -> '$o') @ (sK2 @ vEQ('$i' -> '$o')) @ (sK3 @ vEQ('$i' -> '$o')) = $true)),
0.21/0.44	  inference(unit_resulting_resolution,[],[f46,f17])).
0.21/0.44	tff(f52,plain,(
0.21/0.44	  sK2 @ vEQ('$i' -> '$o') = sK3 @ vEQ('$i' -> '$o')),
0.21/0.44	  inference(equality_proxy_clausification,[],[f48])).
0.21/0.44	tff(f60,plain,(
0.21/0.44	  (vEQ('$i' -> '$o') @ (sK1 @ vEQ('$i' -> '$o')) @ (sK2 @ vEQ('$i' -> '$o')) = $true)),
0.21/0.44	  inference(unit_resulting_resolution,[],[f46,f18])).
0.21/0.44	tff(f65,plain,(
0.21/0.44	  sK1 @ vEQ('$i' -> '$o') = sK2 @ vEQ('$i' -> '$o')),
0.21/0.44	  inference(equality_proxy_clausification,[],[f60])).
0.21/0.44	tff(f68,plain,(
0.21/0.44	  sK1 @ vEQ('$i' -> '$o') = sK3 @ vEQ('$i' -> '$o')),
0.21/0.44	  inference(backward_demodulation,[],[f65,f52])).
0.21/0.44	tff(f83,plain,(
0.21/0.44	  (vEQ('$i' -> '$o') @ (sK1 @ vEQ('$i' -> '$o')) @ (sK3 @ vEQ('$i' -> '$o')) != $true)),
0.21/0.44	  inference(unit_resulting_resolution,[],[f46,f19])).
0.21/0.44	tff(f98,plain,(
0.21/0.44	  sK1 @ vEQ('$i' -> '$o') != sK3 @ vEQ('$i' -> '$o')),
0.21/0.44	  inference(equality_proxy_clausification,[],[f83])).
0.21/0.44	tff(f100,plain,(
0.21/0.44	  $false),
0.21/0.44	  inference(global_subsumption,[],[f68,f98])).
0.21/0.44	% SZS output end Proof for theBenchmark
0.21/0.44	% (30214)------------------------------
0.21/0.44	% (30214)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.21/0.44	% (30214)Termination reason: Refutation
0.21/0.44	
0.21/0.44	% (30214)Memory used [KB]: 5373
0.21/0.44	% (30214)Time elapsed: 0.044 s
0.21/0.44	% (30214)------------------------------
0.21/0.44	% (30214)------------------------------
0.21/0.44	% (30200)Success in time 0.073 s
0.21/0.44	EOF