0.08/0.17	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.08/0.18	% Command    : run_vampire %s %d
0.14/0.37	% Computer   : n017.cluster.edu
0.14/0.37	% Model      : x86_64 x86_64
0.14/0.37	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.14/0.37	% Memory     : 8042.1875MB
0.14/0.37	% OS         : Linux 3.10.0-693.el7.x86_64
0.14/0.37	% CPULimit   : 960
0.14/0.37	% WCLimit    : 120
0.14/0.37	% DateTime   : Thu Jul  2 07:14:37 EDT 2020
0.14/0.38	% CPUTime    : 
0.14/0.40	% (24315)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
0.14/0.41	% (24321)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
0.20/0.42	% (24314)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
0.20/0.42	% (24320)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
0.20/0.42	% (24318)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
0.20/0.42	% (24322)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
0.20/0.42	% (24317)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
0.20/0.42	% (24322)Refutation not found, incomplete strategy
0.20/0.42	% (24322)------------------------------
0.20/0.42	% (24322)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.43	% (24341)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
0.20/0.43	% (24319)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
0.20/0.43	% (24316)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
0.20/0.43	% (24336)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	% (24333)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
0.20/0.43	% (24329)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
0.20/0.44	% (24334)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
0.20/0.44	% (24326)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
0.20/0.44	% (24338)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
0.20/0.44	% (24340)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
0.20/0.45	% (24322)Termination reason: Refutation not found, incomplete strategy
0.20/0.45	
0.20/0.45	% (24322)Memory used [KB]: 9722
0.20/0.45	% (24322)Time elapsed: 0.032 s
0.20/0.45	% (24322)------------------------------
0.20/0.45	% (24322)------------------------------
0.20/0.45	% (24330)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
0.20/0.45	% (24313)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
0.20/0.45	% (24325)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
0.20/0.45	% (24312)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
0.20/0.45	% (24339)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
0.20/0.46	% (24316)Refutation found. Thanks to Tanya!
0.20/0.46	% SZS status Theorem for theBenchmark
0.20/0.46	% SZS output start Proof for theBenchmark
0.20/0.46	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
0.20/0.46	tff(func_def_4, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.20/0.46	tff(func_def_5, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.20/0.46	tff(func_def_8, type, sK0: (('$i' -> '$o') -> ('$i' -> '$o') -> '$o') -> '$i' -> '$o').
0.20/0.46	tff(func_def_9, type, sK1: (('$i' -> '$o') -> ('$i' -> '$o') -> '$o') -> '$i' -> '$o').
0.20/0.46	tff(func_def_10, type, sK2: (('$i' -> '$o') -> ('$i' -> '$o') -> '$o') -> '$i' -> '$o').
0.20/0.46	tff(func_def_11, type, sK3: (('$i' -> '$o') -> ('$i' -> '$o') -> '$o') -> '$i' -> '$o').
0.20/0.46	tff(func_def_13, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.20/0.46	tff(func_def_14, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.46	tff(func_def_15, type, vAND: '$o' -> '$o' -> '$o').
0.20/0.46	tff(func_def_16, type, vOR: '$o' -> '$o' -> '$o').
0.20/0.46	tff(func_def_17, type, vIMP: '$o' -> '$o' -> '$o').
0.20/0.46	tff(func_def_18, type, vNOT: '$o' -> '$o').
0.20/0.46	tff(func_def_19, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.20/0.46	tff(func_def_20, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.20/0.46	tff(func_def_21, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.20/0.46	tff(func_def_22, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.20/0.46	tff(func_def_23, type, sK5: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
0.20/0.46	tff(f1,conjecture,(
0.20/0.46	  ? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : X0 @ X6 @ X7 & ? [X4 : '$i' -> '$o',X5 : '$i' -> '$o'] : ~X0 @ X4 @ X5 & ! [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : ((X0 @ X2 @ X3 & X0 @ X1 @ X2) => X0 @ X1 @ X3) & ! [X1 : '$i' -> '$o'] : X0 @ X1 @ X1)),
0.20/0.46	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM120_2_pme)).
0.20/0.46	tff(f2,negated_conjecture,(
0.20/0.46	  ~? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : X0 @ X6 @ X7 & ? [X4 : '$i' -> '$o',X5 : '$i' -> '$o'] : ~X0 @ X4 @ X5 & ! [X1 : '$i' -> '$o',X2 : '$i' -> '$o',X3 : '$i' -> '$o'] : ((X0 @ X2 @ X3 & X0 @ X1 @ X2) => X0 @ X1 @ X3) & ! [X1 : '$i' -> '$o'] : X0 @ X1 @ X1)),
0.20/0.46	  inference(negated_conjecture,[],[f1])).
0.20/0.46	tff(f3,plain,(
0.20/0.46	  ~? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : X0 @ X1 @ X2 & ? [X3 : '$i' -> '$o',X4 : '$i' -> '$o'] : ~X0 @ X3 @ X4 & ! [X5 : '$i' -> '$o',X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : ((X0 @ X6 @ X7 & X0 @ X5 @ X6) => X0 @ X5 @ X7) & ! [X8 : '$i' -> '$o'] : X0 @ X8 @ X8)),
0.20/0.46	  inference(rectify,[],[f2])).
0.20/0.46	tff(f4,plain,(
0.20/0.46	  ~? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : (X0 @ X1 @ X2 = $true) & ? [X3 : '$i' -> '$o',X4 : '$i' -> '$o'] : ~(X0 @ X3 @ X4 = $true) & ! [X5 : '$i' -> '$o',X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : (((X0 @ X6 @ X7 = $true) & (X0 @ X5 @ X6 = $true)) => (X0 @ X5 @ X7 = $true)) & ! [X8 : '$i' -> '$o'] : (X0 @ X8 @ X8 = $true))),
0.20/0.46	  inference(fool_elimination,[],[f3])).
0.20/0.46	tff(f5,plain,(
0.20/0.46	  ~? [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : (X0 @ X1 @ X2 = $true) & ? [X3 : '$i' -> '$o',X4 : '$i' -> '$o'] : (X0 @ X3 @ X4 != $true) & ! [X5 : '$i' -> '$o',X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : (((X0 @ X6 @ X7 = $true) & (X0 @ X5 @ X6 = $true)) => (X0 @ X5 @ X7 = $true)) & ! [X8 : '$i' -> '$o'] : (X0 @ X8 @ X8 = $true))),
0.20/0.46	  inference(flattening,[],[f4])).
0.20/0.46	% (24331)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
0.20/0.46	tff(f6,plain,(
0.20/0.46	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (! [X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : (X0 @ X1 @ X2 != $true) | ! [X3 : '$i' -> '$o',X4 : '$i' -> '$o'] : (X0 @ X3 @ X4 = $true) | ? [X5 : '$i' -> '$o',X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : ((X0 @ X5 @ X7 != $true) & ((X0 @ X6 @ X7 = $true) & (X0 @ X5 @ X6 = $true))) | ? [X8 : '$i' -> '$o'] : (X0 @ X8 @ X8 != $true))),
0.20/0.46	  inference(ennf_transformation,[],[f5])).
0.20/0.46	tff(f7,plain,(
0.20/0.46	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (! [X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : (X0 @ X1 @ X2 != $true) | ! [X3 : '$i' -> '$o',X4 : '$i' -> '$o'] : (X0 @ X3 @ X4 = $true) | ? [X5 : '$i' -> '$o',X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : ((X0 @ X5 @ X7 != $true) & (X0 @ X6 @ X7 = $true) & (X0 @ X5 @ X6 = $true)) | ? [X8 : '$i' -> '$o'] : (X0 @ X8 @ X8 != $true))),
0.20/0.46	  inference(flattening,[],[f6])).
0.20/0.46	tff(f8,plain,(
0.20/0.46	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X5 : '$i' -> '$o',X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : ((X0 @ X5 @ X7 != $true) & (X0 @ X6 @ X7 = $true) & (X0 @ X5 @ X6 = $true)) => ((X0 @ (sK0 @ X0) @ (sK2 @ X0) != $true) & (X0 @ (sK1 @ X0) @ (sK2 @ X0) = $true) & (X0 @ (sK0 @ X0) @ (sK1 @ X0) = $true)))),
0.20/0.46	  introduced(choice_axiom,[])).
0.20/0.46	tff(f9,plain,(
0.20/0.46	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (? [X8 : '$i' -> '$o'] : (X0 @ X8 @ X8 != $true) => (X0 @ (sK3 @ X0) @ (sK3 @ X0) != $true))),
0.20/0.46	  introduced(choice_axiom,[])).
0.20/0.46	tff(f10,plain,(
0.20/0.46	  ! [X0 : ('$i' -> '$o') -> ('$i' -> '$o') -> '$o'] : (! [X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : (X0 @ X1 @ X2 != $true) | ! [X3 : '$i' -> '$o',X4 : '$i' -> '$o'] : (X0 @ X3 @ X4 = $true) | ((X0 @ (sK0 @ X0) @ (sK2 @ X0) != $true) & (X0 @ (sK1 @ X0) @ (sK2 @ X0) = $true) & (X0 @ (sK0 @ X0) @ (sK1 @ X0) = $true)) | (X0 @ (sK3 @ X0) @ (sK3 @ X0) != $true))),
0.20/0.46	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f7,f9,f8])).
0.20/0.46	tff(f11,plain,(
0.20/0.46	  ( ! [X4:'$i' -> '$o',X2:'$i' -> '$o',X0:('$i' -> '$o') -> ('$i' -> '$o') -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((X0 @ (sK3 @ X0) @ (sK3 @ X0) != $true) | (X0 @ X3 @ X4 = $true) | (X0 @ (sK0 @ X0) @ (sK1 @ X0) = $true) | (X0 @ X1 @ X2 != $true)) )),
0.20/0.46	  inference(cnf_transformation,[],[f10])).
0.20/0.46	tff(f12,plain,(
0.20/0.46	  ( ! [X4:'$i' -> '$o',X2:'$i' -> '$o',X0:('$i' -> '$o') -> ('$i' -> '$o') -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((X0 @ (sK3 @ X0) @ (sK3 @ X0) != $true) | (X0 @ X3 @ X4 = $true) | (X0 @ (sK1 @ X0) @ (sK2 @ X0) = $true) | (X0 @ X1 @ X2 != $true)) )),
0.20/0.46	  inference(cnf_transformation,[],[f10])).
0.20/0.46	tff(f13,plain,(
0.20/0.46	  ( ! [X4:'$i' -> '$o',X2:'$i' -> '$o',X0:('$i' -> '$o') -> ('$i' -> '$o') -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((X0 @ (sK3 @ X0) @ (sK3 @ X0) != $true) | (X0 @ X3 @ X4 = $true) | (X0 @ (sK0 @ X0) @ (sK2 @ X0) != $true) | (X0 @ X1 @ X2 != $true)) )),
0.20/0.46	  inference(cnf_transformation,[],[f10])).
0.20/0.46	tff(f15,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ (sK3 @ vEQ('$i' -> '$o')) @ (sK3 @ vEQ('$i' -> '$o')) != $true) | (vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK0 @ vEQ('$i' -> '$o')) @ (sK1 @ vEQ('$i' -> '$o')) = $true) | (vEQ('$i' -> '$o') @ X2 @ X3 != $true)) )),
0.20/0.46	  inference(primitive_instantiation,[],[f11])).
0.20/0.46	tff(f26,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : (($true != $true) | (vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK0 @ vEQ('$i' -> '$o')) @ (sK1 @ vEQ('$i' -> '$o')) = $true) | (vEQ('$i' -> '$o') @ X2 @ X3 != $true)) )),
0.20/0.46	  inference(boolean_simplification,[],[f15])).
0.20/0.46	tff(f27,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK0 @ vEQ('$i' -> '$o')) @ (sK1 @ vEQ('$i' -> '$o')) = $true) | (vEQ('$i' -> '$o') @ X2 @ X3 != $true)) )),
0.20/0.46	  inference(trivial_inequality_removal,[],[f26])).
0.20/0.46	tff(f28,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK0 @ vEQ('$i' -> '$o')) @ (sK1 @ vEQ('$i' -> '$o')) = $true) | X2 != X3) )),
0.20/0.46	  inference(equality_proxy_clausification,[],[f27])).
0.20/0.46	tff(f29,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ X0 @ X1 = $true) | sK0 @ vEQ('$i' -> '$o') = sK1 @ vEQ('$i' -> '$o') | X2 != X3) )),
0.20/0.46	  inference(equality_proxy_clausification,[],[f28])).
0.20/0.46	tff(f30,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : (X0 = X1 | sK0 @ vEQ('$i' -> '$o') = sK1 @ vEQ('$i' -> '$o') | X2 != X3) )),
0.20/0.46	  inference(equality_proxy_clausification,[],[f29])).
0.20/0.46	tff(f33,plain,(
0.20/0.46	  spl4_0 <=> ! [X3 : '$i' -> '$o',X2 : '$i' -> '$o'] : X2 != X3),
0.20/0.46	  introduced(avatar_definition,[new_symbols(naming,[spl4_0])])).
0.20/0.46	tff(f34,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X3:'$i' -> '$o'] : (X2 != X3) ) | ~spl4_0),
0.20/0.46	  inference(avatar_component_clause,[],[f33])).
0.20/0.46	tff(f39,plain,(
0.20/0.46	  spl4_2 <=> sK0 @ vEQ('$i' -> '$o') = sK1 @ vEQ('$i' -> '$o')),
0.20/0.46	  introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
0.20/0.46	tff(f40,plain,(
0.20/0.46	  sK0 @ vEQ('$i' -> '$o') = sK1 @ vEQ('$i' -> '$o') | ~spl4_2),
0.20/0.46	  inference(avatar_component_clause,[],[f39])).
0.20/0.46	tff(f42,plain,(
0.20/0.46	  spl4_4 <=> ! [X1 : '$i' -> '$o',X0 : '$i' -> '$o'] : X0 = X1),
0.20/0.46	  introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
0.20/0.46	tff(f43,plain,(
0.20/0.46	  ( ! [X0:'$i' -> '$o',X1:'$i' -> '$o'] : (X0 = X1) ) | ~spl4_4),
0.20/0.46	  inference(avatar_component_clause,[],[f42])).
0.20/0.46	tff(f44,plain,(
0.20/0.46	  spl4_0 | spl4_2 | spl4_4),
0.20/0.46	  inference(avatar_split_clause,[],[f30,f42,f39,f33])).
0.20/0.46	tff(f46,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ (sK3 @ vEQ('$i' -> '$o')) @ (sK3 @ vEQ('$i' -> '$o')) != $true) | (vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK1 @ vEQ('$i' -> '$o')) @ (sK2 @ vEQ('$i' -> '$o')) = $true) | (vEQ('$i' -> '$o') @ X2 @ X3 != $true)) )),
0.20/0.46	  inference(primitive_instantiation,[],[f12])).
0.20/0.46	tff(f57,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : (($true != $true) | (vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK1 @ vEQ('$i' -> '$o')) @ (sK2 @ vEQ('$i' -> '$o')) = $true) | (vEQ('$i' -> '$o') @ X2 @ X3 != $true)) )),
0.20/0.46	  inference(boolean_simplification,[],[f46])).
0.20/0.46	tff(f58,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK1 @ vEQ('$i' -> '$o')) @ (sK2 @ vEQ('$i' -> '$o')) = $true) | (vEQ('$i' -> '$o') @ X2 @ X3 != $true)) )),
0.20/0.46	  inference(trivial_inequality_removal,[],[f57])).
0.20/0.46	tff(f59,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK1 @ vEQ('$i' -> '$o')) @ (sK2 @ vEQ('$i' -> '$o')) = $true) | X2 != X3) )),
0.20/0.46	  inference(equality_proxy_clausification,[],[f58])).
0.20/0.46	tff(f60,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ X0 @ X1 = $true) | sK1 @ vEQ('$i' -> '$o') = sK2 @ vEQ('$i' -> '$o') | X2 != X3) )),
0.20/0.46	  inference(equality_proxy_clausification,[],[f59])).
0.20/0.46	tff(f61,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : (X0 = X1 | sK1 @ vEQ('$i' -> '$o') = sK2 @ vEQ('$i' -> '$o') | X2 != X3) )),
0.20/0.46	  inference(equality_proxy_clausification,[],[f60])).
0.20/0.46	tff(f63,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : (sK0 @ vEQ('$i' -> '$o') = sK2 @ vEQ('$i' -> '$o') | X0 = X1 | X2 != X3) ) | ~spl4_2),
0.20/0.46	  inference(forward_demodulation,[],[f61,f40])).
0.20/0.46	tff(f68,plain,(
0.20/0.46	  spl4_6 <=> sK0 @ vEQ('$i' -> '$o') = sK2 @ vEQ('$i' -> '$o')),
0.20/0.46	  introduced(avatar_definition,[new_symbols(naming,[spl4_6])])).
0.20/0.46	tff(f69,plain,(
0.20/0.46	  sK0 @ vEQ('$i' -> '$o') = sK2 @ vEQ('$i' -> '$o') | ~spl4_6),
0.20/0.46	  inference(avatar_component_clause,[],[f68])).
0.20/0.46	tff(f70,plain,(
0.20/0.46	  spl4_0 | spl4_4 | spl4_6 | ~spl4_2),
0.20/0.46	  inference(avatar_split_clause,[],[f63,f39,f68,f42,f33])).
0.20/0.46	tff(f75,plain,(
0.20/0.46	  ( ! [X2,X0:'$i' -> '$o',X1:'$i' -> '$o'] : ((X0 @ X2 = X1 @ X2)) ) | ~spl4_4),
0.20/0.46	  inference(argument_congruence,[],[f43])).
0.20/0.46	tff(f80,plain,(
0.20/0.46	  ( ! [X2,X0:'$i' -> '$o',X1:'$i' -> '$o'] : ((X1 @ X2 = $false) | (X0 @ X2 = $true)) ) | ~spl4_4),
0.20/0.46	  inference(binary_proxy_clausification,[],[f75])).
0.20/0.46	tff(f83,plain,(
0.20/0.46	  ( ! [X2,X3:'$i' -> '$o'] : ((kCOMB @ $true @ X2 = $false) | (X3 @ X2 = $true)) ) | ~spl4_4),
0.20/0.46	  inference(primitive_instantiation,[],[f80])).
0.20/0.46	tff(f91,plain,(
0.20/0.46	  ( ! [X2,X3:'$i' -> '$o'] : (($false = $true) | (X3 @ X2 = $true)) ) | ~spl4_4),
0.20/0.46	  inference(combinator_demodulation,[],[f83])).
0.20/0.46	tff(f92,plain,(
0.20/0.46	  ( ! [X2,X3:'$i' -> '$o'] : ((X3 @ X2 = $true)) ) | ~spl4_4),
0.20/0.46	  inference(trivial_inequality_removal,[],[f91])).
0.20/0.46	tff(f95,plain,(
0.20/0.46	  ( ! [X0] : ((kCOMB @ $false @ X0 = $true)) ) | ~spl4_4),
0.20/0.46	  inference(primitive_instantiation,[],[f92])).
0.20/0.46	tff(f108,plain,(
0.20/0.46	  ($false = $true) | ~spl4_4),
0.20/0.46	  inference(combinator_demodulation,[],[f95])).
0.20/0.46	tff(f109,plain,(
0.20/0.46	  $false | ~spl4_4),
0.20/0.46	  inference(trivial_inequality_removal,[],[f108])).
0.20/0.46	tff(f110,plain,(
0.20/0.46	  ~spl4_4),
0.20/0.46	  inference(avatar_contradiction_clause,[],[f109])).
0.20/0.46	tff(f131,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ (sK3 @ vEQ('$i' -> '$o')) @ (sK3 @ vEQ('$i' -> '$o')) != $true) | (vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK0 @ vEQ('$i' -> '$o')) @ (sK2 @ vEQ('$i' -> '$o')) != $true) | (vEQ('$i' -> '$o') @ X2 @ X3 != $true)) )),
0.20/0.46	  inference(primitive_instantiation,[],[f13])).
0.20/0.46	tff(f144,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : (($true != $true) | (vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK0 @ vEQ('$i' -> '$o')) @ (sK2 @ vEQ('$i' -> '$o')) != $true) | (vEQ('$i' -> '$o') @ X2 @ X3 != $true)) )),
0.20/0.46	  inference(boolean_simplification,[],[f131])).
0.20/0.46	% (24323)dis-11_3_add=off:afp=40000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=none:gs=on:irw=on:lcm=reverse:nm=6:nwc=1:sd=4:ss=axioms:st=3.0:sos=on:sac=on_2 on theBenchmark
0.20/0.46	tff(f145,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK0 @ vEQ('$i' -> '$o')) @ (sK2 @ vEQ('$i' -> '$o')) != $true) | (vEQ('$i' -> '$o') @ X2 @ X3 != $true)) )),
0.20/0.46	  inference(trivial_inequality_removal,[],[f144])).
0.20/0.46	tff(f146,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ X0 @ X1 = $true) | (vEQ('$i' -> '$o') @ (sK0 @ vEQ('$i' -> '$o')) @ (sK2 @ vEQ('$i' -> '$o')) != $true) | X2 != X3) )),
0.20/0.46	  inference(equality_proxy_clausification,[],[f145])).
0.20/0.46	tff(f147,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : ((vEQ('$i' -> '$o') @ X0 @ X1 = $true) | sK0 @ vEQ('$i' -> '$o') != sK2 @ vEQ('$i' -> '$o') | X2 != X3) )),
0.20/0.46	  inference(equality_proxy_clausification,[],[f146])).
0.20/0.46	tff(f148,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : (X0 = X1 | sK0 @ vEQ('$i' -> '$o') != sK2 @ vEQ('$i' -> '$o') | X2 != X3) )),
0.20/0.46	  inference(equality_proxy_clausification,[],[f147])).
0.20/0.46	tff(f150,plain,(
0.20/0.46	  ( ! [X2:'$i' -> '$o',X0:'$i' -> '$o',X3:'$i' -> '$o',X1:'$i' -> '$o'] : (X0 = X1 | X2 != X3) ) | ~spl4_6),
0.20/0.46	  inference(subsumption_resolution,[],[f148,f69])).
0.20/0.46	tff(f151,plain,(
0.20/0.46	  spl4_0 | spl4_4 | ~spl4_6),
0.20/0.46	  inference(avatar_split_clause,[],[f150,f68,f42,f33])).
0.20/0.46	tff(f157,plain,(
0.20/0.46	  $false | ~spl4_0),
0.20/0.46	  inference(equality_resolution,[],[f34])).
0.20/0.46	tff(f158,plain,(
0.20/0.46	  ~spl4_0),
0.20/0.46	  inference(avatar_contradiction_clause,[],[f157])).
0.20/0.46	tff(f162,plain,(
0.20/0.46	  $false),
0.20/0.46	  inference(avatar_sat_refutation,[],[f44,f70,f110,f151,f158])).
0.20/0.46	% SZS output end Proof for theBenchmark
0.20/0.46	% (24316)------------------------------
0.20/0.46	% (24316)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.20/0.46	% (24316)Termination reason: Refutation
0.20/0.46	
0.20/0.46	% (24316)Memory used [KB]: 5500
0.20/0.46	% (24316)Time elapsed: 0.054 s
0.20/0.46	% (24316)------------------------------
0.20/0.46	% (24316)------------------------------
0.20/0.46	% (24311)Success in time 0.072 s
0.20/0.46	EOF