0.03/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.12	% Command    : run_vampire %s %d
0.13/0.33	% Computer   : n012.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 06:59:21 EDT 2020
0.13/0.33	% CPUTime    : 
0.13/0.37	% (31841)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
0.19/0.38	% (31850)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
0.19/0.38	% (31844)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
0.19/0.38	% (31858)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
0.19/0.38	% (31861)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
0.19/0.39	% (31842)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
0.19/0.39	% (31843)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
0.19/0.39	% (31846)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
0.19/0.39	% (31840)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
0.19/0.39	% (31853)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
0.19/0.39	% (31860)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
0.19/0.39	% (31866)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
0.19/0.40	% (31852)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
0.19/0.40	% (31845)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
0.19/0.40	% (31868)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
0.19/0.41	% (31855)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
0.19/0.41	% (31854)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
0.19/0.41	% (31865)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
0.19/0.41	% (31839)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
0.19/0.41	% (31867)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
0.19/0.41	% (31864)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
0.19/0.41	% (31856)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
0.19/0.41	% (31863)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
0.19/0.42	% (31848)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
0.19/0.42	% (31859)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
0.19/0.42	% (31862)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
0.19/0.42	% (31857)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
0.19/0.43	% (31847)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
0.19/0.43	% (31849)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
0.19/0.43	% (31851)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
0.19/0.46	% (31849)Refutation not found, incomplete strategy
0.19/0.46	% (31849)------------------------------
0.19/0.46	% (31849)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.19/0.48	% (31849)Termination reason: Refutation not found, incomplete strategy
0.19/0.48	
0.19/0.48	% (31849)Memory used [KB]: 10106
0.19/0.48	% (31849)Time elapsed: 0.090 s
0.19/0.48	% (31849)------------------------------
0.19/0.48	% (31849)------------------------------
0.19/0.53	% (31869)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
1.42/0.54	% (31848)Refutation found. Thanks to Tanya!
1.42/0.54	% SZS status Theorem for theBenchmark
1.42/0.54	% SZS output start Proof for theBenchmark
1.42/0.54	tff(func_def_3, type, ->: ('$tType' * '$tType') > '$tType').
1.42/0.54	tff(func_def_4, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
1.42/0.54	tff(func_def_5, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
1.42/0.54	tff(func_def_6, type, vAND: '$o' -> '$o' -> '$o').
1.42/0.54	tff(func_def_7, type, vOR: '$o' -> '$o' -> '$o').
1.42/0.54	tff(func_def_8, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
1.42/0.54	tff(func_def_9, type, vSIGMA: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
1.42/0.54	tff(func_def_10, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
1.42/0.54	tff(func_def_11, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
1.42/0.54	tff(func_def_12, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
1.42/0.54	tff(func_def_13, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
1.42/0.54	tff(func_def_16, type, sK0: ('$i' -> '$o') -> '$o').
1.42/0.54	tff(func_def_17, type, sK1: '$i' -> '$o').
1.42/0.54	tff(func_def_18, type, sK2: '$i' -> '$o').
1.42/0.54	tff(func_def_19, type, sK3: ('$i' -> '$o') -> ('$i' -> '$o') -> '$i').
1.42/0.54	tff(func_def_21, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
1.42/0.54	tff(func_def_22, type, vIMP: '$o' -> '$o' -> '$o').
1.42/0.54	tff(func_def_23, type, vNOT: '$o' -> '$o').
1.42/0.54	tff(func_def_27, type, sK8: '$i' -> '$o').
1.42/0.54	tff(func_def_28, type, sK9: ('$i' -> '$o') -> '$i').
1.42/0.54	tff(func_def_29, type, sK10: ('$i' -> '$o') -> '$i').
1.42/0.54	tff(f1,conjecture,(
1.42/0.54	  ! [X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : (! [X8] : (X7 @ X8 <=> X6 @ X8) => X6 = X7) => ! [X0 : ('$i' -> '$o') -> '$o',X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : (X0 @ (^[X3 : '$i'] : ? [X4 : '$i' -> '$o'] : (X4 @ X3 & (X1 = X4 | X2 = X4))) => X0 @ (^[X5 : '$i'] : X2 @ X5 | X1 @ X5))),
1.42/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM4A_pme)).
1.42/0.54	tff(f2,negated_conjecture,(
1.42/0.54	  ~(! [X6 : '$i' -> '$o',X7 : '$i' -> '$o'] : (! [X8] : (X7 @ X8 <=> X6 @ X8) => X6 = X7) => ! [X0 : ('$i' -> '$o') -> '$o',X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : (X0 @ (^[X3 : '$i'] : ? [X4 : '$i' -> '$o'] : (X4 @ X3 & (X1 = X4 | X2 = X4))) => X0 @ (^[X5 : '$i'] : X2 @ X5 | X1 @ X5)))),
1.42/0.54	  inference(negated_conjecture,[],[f1])).
1.42/0.54	tff(f3,plain,(
1.42/0.54	  ~(! [X0 : '$i' -> '$o',X1 : '$i' -> '$o'] : (! [X2] : (X1 @ X2 <=> X0 @ X2) => X0 = X1) => ! [X3 : ('$i' -> '$o') -> '$o',X4 : '$i' -> '$o',X5 : '$i' -> '$o'] : (X3 @ (^[X6 : '$i'] : ? [X7 : '$i' -> '$o'] : (X7 @ X6 & (X4 = X7 | X5 = X7))) => X3 @ (^[X8 : '$i'] : X5 @ X8 | X4 @ X8)))),
1.42/0.54	  inference(rectify,[],[f2])).
1.42/0.54	tff(f4,plain,(
1.42/0.54	  ~(! [X0 : '$i' -> '$o',X1 : '$i' -> '$o'] : (! [X2] : (X0 @ X2 = X1 @ X2) => X0 = X1) => ! [X3 : ('$i' -> '$o') -> '$o',X4 : '$i' -> '$o',X5 : '$i' -> '$o'] : ((X3 @ (bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ X5)) @ (vEQ('$i' -> '$o') @ X4)))) @ (cCOMB @ iCOMB))) = $true) => (X3 @ (sCOMB @ (bCOMB @ vOR @ X4) @ X5) = $true)))),
1.42/0.54	  inference(fool_elimination,[],[f3])).
1.42/0.54	tff(f5,plain,(
1.42/0.54	  ? [X3 : ('$i' -> '$o') -> '$o',X4 : '$i' -> '$o',X5 : '$i' -> '$o'] : ((X3 @ (sCOMB @ (bCOMB @ vOR @ X4) @ X5) != $true) & (X3 @ (bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ X5)) @ (vEQ('$i' -> '$o') @ X4)))) @ (cCOMB @ iCOMB))) = $true)) & ! [X0 : '$i' -> '$o',X1 : '$i' -> '$o'] : (X0 = X1 | ? [X2] : (X0 @ X2 != X1 @ X2))),
1.42/0.54	  inference(ennf_transformation,[],[f4])).
1.42/0.54	tff(f6,plain,(
1.42/0.54	  ? [X0 : ('$i' -> '$o') -> '$o',X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : ((X0 @ (sCOMB @ (bCOMB @ vOR @ X1) @ X2) != $true) & (X0 @ (bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ X2)) @ (vEQ('$i' -> '$o') @ X1)))) @ (cCOMB @ iCOMB))) = $true)) & ! [X3 : '$i' -> '$o',X4 : '$i' -> '$o'] : (X3 = X4 | ? [X5] : (X3 @ X5 != X4 @ X5))),
1.42/0.54	  inference(rectify,[],[f5])).
1.42/0.54	tff(f7,plain,(
1.42/0.54	  ? [X0 : ('$i' -> '$o') -> '$o',X1 : '$i' -> '$o',X2 : '$i' -> '$o'] : ((X0 @ (sCOMB @ (bCOMB @ vOR @ X1) @ X2) != $true) & (X0 @ (bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ X2)) @ (vEQ('$i' -> '$o') @ X1)))) @ (cCOMB @ iCOMB))) = $true)) => ((sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) != $true) & (sK0 @ (bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB))) = $true))),
1.42/0.54	  introduced(choice_axiom,[])).
1.42/0.54	tff(f8,plain,(
1.42/0.54	  ! [X4 : '$i' -> '$o',X3 : '$i' -> '$o'] : (? [X5] : (X3 @ X5 != X4 @ X5) => (X3 @ (sK3 @ X4 @ X3) != X4 @ (sK3 @ X4 @ X3)))),
1.42/0.54	  introduced(choice_axiom,[])).
1.42/0.54	tff(f9,plain,(
1.42/0.54	  ((sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) != $true) & (sK0 @ (bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB))) = $true)) & ! [X3 : '$i' -> '$o',X4 : '$i' -> '$o'] : (X3 = X4 | (X3 @ (sK3 @ X4 @ X3) != X4 @ (sK3 @ X4 @ X3)))),
1.42/0.54	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f6,f8,f7])).
1.42/0.54	tff(f11,plain,(
1.42/0.54	  (sK0 @ (bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB))) = $true)),
1.42/0.54	  inference(cnf_transformation,[],[f9])).
1.42/0.54	tff(f12,plain,(
1.42/0.54	  (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) != $true)),
1.42/0.54	  inference(cnf_transformation,[],[f9])).
1.42/0.54	tff(f19,plain,(
1.42/0.54	  spl4_1 <=> (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) != $true)),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
1.42/0.54	tff(f20,plain,(
1.42/0.54	  (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) != $true) | ~spl4_1),
1.42/0.54	  inference(avatar_component_clause,[],[f19])).
1.42/0.54	tff(f21,plain,(
1.42/0.54	  ~spl4_1),
1.42/0.54	  inference(avatar_split_clause,[],[f12,f19])).
1.42/0.54	tff(f26,plain,(
1.42/0.54	  spl4_2 <=> (sK0 @ (bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB))) = $true)),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
1.42/0.54	tff(f27,plain,(
1.42/0.54	  (sK0 @ (bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB))) = $true) | ~spl4_2),
1.42/0.54	  inference(avatar_component_clause,[],[f26])).
1.42/0.54	tff(f28,plain,(
1.42/0.54	  spl4_2),
1.42/0.54	  inference(avatar_split_clause,[],[f11,f26])).
1.42/0.54	tff(f65,plain,(
1.42/0.54	  ($true != $true) | (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) = $false) | ~spl4_1),
1.42/0.54	  inference(fool_paramodulation,[],[f20])).
1.42/0.54	tff(f66,plain,(
1.42/0.54	  (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) = $false) | ~spl4_1),
1.42/0.54	  inference(trivial_inequality_removal,[],[f65])).
1.42/0.54	tff(f71,plain,(
1.42/0.54	  spl4_4 <=> (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) = $false)),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
1.42/0.54	tff(f73,plain,(
1.42/0.54	  spl4_4 | spl4_1),
1.42/0.54	  inference(avatar_split_clause,[],[f66,f19,f71])).
1.42/0.54	tff(f139,plain,(
1.42/0.54	  ($true != $true) | sCOMB @ (bCOMB @ vOR @ sK1) @ sK2 != bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB)) | (~spl4_1 | ~spl4_2)),
1.42/0.54	  inference(superposition,[],[f20,f27])).
1.42/0.54	tff(f140,plain,(
1.42/0.54	  sCOMB @ (bCOMB @ vOR @ sK1) @ sK2 != bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB)) | (~spl4_1 | ~spl4_2)),
1.42/0.54	  inference(trivial_inequality_removal,[],[f139])).
1.42/0.54	tff(f163,plain,(
1.42/0.54	  spl4_27 <=> sCOMB @ (bCOMB @ vOR @ sK1) @ sK2 != bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB))),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_27])])).
1.42/0.54	tff(f164,plain,(
1.42/0.54	  sCOMB @ (bCOMB @ vOR @ sK1) @ sK2 != bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB)) | ~spl4_27),
1.42/0.54	  inference(avatar_component_clause,[],[f163])).
1.42/0.54	tff(f165,plain,(
1.42/0.54	  ~spl4_27 | spl4_1 | ~spl4_2),
1.42/0.54	  inference(avatar_split_clause,[],[f140,f26,f19,f163])).
1.42/0.54	tff(f302,plain,(
1.42/0.54	  (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2 @ sK7 != bCOMB @ vSIGMA('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1)))) @ (cCOMB @ iCOMB)) @ sK7) | ~spl4_27),
1.42/0.54	  inference(negative_extensionality,[],[f164])).
1.42/0.54	tff(f306,plain,(
1.42/0.54	  (vOR @ (sK1 @ sK7) @ (sK2 @ sK7) != vSIGMA('$i' -> '$o') @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1))) @ (cCOMB @ iCOMB @ sK7))) | ~spl4_27),
1.42/0.54	  inference(combinator_demodulation,[],[f302])).
1.42/0.54	tff(f307,plain,(
1.42/0.54	  (vOR @ (sK1 @ sK7) @ (sK2 @ sK7) = $true) | (vSIGMA('$i' -> '$o') @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1))) @ (cCOMB @ iCOMB @ sK7)) = $true) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f306])).
1.42/0.54	tff(f308,plain,(
1.42/0.54	  (vOR @ (sK1 @ sK7) @ (sK2 @ sK7) = $false) | (vSIGMA('$i' -> '$o') @ (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1))) @ (cCOMB @ iCOMB @ sK7)) = $false) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f306])).
1.42/0.54	tff(f309,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : ((vOR @ (sK1 @ sK7) @ (sK2 @ sK7) = $false) | (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1))) @ (cCOMB @ iCOMB @ sK7) @ X1 = $false)) ) | ~spl4_27),
1.42/0.54	  inference(pi_clausification,[],[f308])).
1.42/0.54	tff(f310,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : ((vOR @ (sK1 @ sK7) @ (sK2 @ sK7) = $false) | (vAND @ (vOR @ (vEQ('$i' -> '$o') @ sK2 @ X1) @ (vEQ('$i' -> '$o') @ sK1 @ X1)) @ (X1 @ sK7) = $false)) ) | ~spl4_27),
1.42/0.54	  inference(combinator_demodulation,[],[f309])).
1.42/0.54	tff(f311,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : ((vOR @ (sK1 @ sK7) @ (sK2 @ sK7) = $false) | (vOR @ (vEQ('$i' -> '$o') @ sK2 @ X1) @ (vEQ('$i' -> '$o') @ sK1 @ X1) = $false) | (X1 @ sK7 = $false)) ) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f310])).
1.42/0.54	tff(f312,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : ((sK1 @ sK7 = $false) | (vOR @ (vEQ('$i' -> '$o') @ sK2 @ X1) @ (vEQ('$i' -> '$o') @ sK1 @ X1) = $false) | (X1 @ sK7 = $false)) ) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f311])).
1.42/0.54	tff(f313,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : ((sK2 @ sK7 = $false) | (vOR @ (vEQ('$i' -> '$o') @ sK2 @ X1) @ (vEQ('$i' -> '$o') @ sK1 @ X1) = $false) | (X1 @ sK7 = $false)) ) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f311])).
1.42/0.54	tff(f314,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : ((sK2 @ sK7 = $false) | (vEQ('$i' -> '$o') @ sK2 @ X1 = $false) | (X1 @ sK7 = $false)) ) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f313])).
1.42/0.54	tff(f317,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : ((sK2 @ sK7 = $false) | sK2 != X1 | (X1 @ sK7 = $false)) ) | ~spl4_27),
1.42/0.54	  inference(equality_proxy_clausification,[],[f314])).
1.42/0.54	tff(f319,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : ((sK1 @ sK7 = $false) | (vEQ('$i' -> '$o') @ sK1 @ X1 = $false) | (X1 @ sK7 = $false)) ) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f312])).
1.42/0.54	tff(f320,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : ((sK1 @ sK7 = $false) | sK1 != X1 | (X1 @ sK7 = $false)) ) | ~spl4_27),
1.42/0.54	  inference(equality_proxy_clausification,[],[f319])).
1.42/0.54	tff(f322,plain,(
1.42/0.54	  (vOR @ (sK1 @ sK7) @ (sK2 @ sK7) = $true) | (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1))) @ (cCOMB @ iCOMB @ sK7) @ sK8 = $true) | ~spl4_27),
1.42/0.54	  inference(sigma_clausification,[],[f307])).
1.42/0.54	tff(f323,plain,(
1.42/0.54	  (sK1 @ sK7 = $true) | (sCOMB @ (bCOMB @ vAND @ (sCOMB @ (bCOMB @ vOR @ (vEQ('$i' -> '$o') @ sK2)) @ (vEQ('$i' -> '$o') @ sK1))) @ (cCOMB @ iCOMB @ sK7) @ sK8 = $true) | (sK2 @ sK7 = $true) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f322])).
1.42/0.54	tff(f324,plain,(
1.42/0.54	  (sK1 @ sK7 = $true) | (vAND @ (vOR @ (vEQ('$i' -> '$o') @ sK2 @ sK8) @ (vEQ('$i' -> '$o') @ sK1 @ sK8)) @ (sK8 @ sK7) = $true) | (sK2 @ sK7 = $true) | ~spl4_27),
1.42/0.54	  inference(combinator_demodulation,[],[f323])).
1.42/0.54	tff(f325,plain,(
1.42/0.54	  (sK1 @ sK7 = $true) | (vOR @ (vEQ('$i' -> '$o') @ sK2 @ sK8) @ (vEQ('$i' -> '$o') @ sK1 @ sK8) = $true) | (sK2 @ sK7 = $true) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f324])).
1.42/0.54	tff(f326,plain,(
1.42/0.54	  (sK1 @ sK7 = $true) | (sK8 @ sK7 = $true) | (sK2 @ sK7 = $true) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f324])).
1.42/0.54	tff(f327,plain,(
1.42/0.54	  (sK1 @ sK7 = $true) | (vEQ('$i' -> '$o') @ sK2 @ sK8 = $true) | (sK2 @ sK7 = $true) | (vEQ('$i' -> '$o') @ sK1 @ sK8 = $true) | ~spl4_27),
1.42/0.54	  inference(binary_proxy_clausification,[],[f325])).
1.42/0.54	tff(f328,plain,(
1.42/0.54	  (sK1 @ sK7 = $true) | (vEQ('$i' -> '$o') @ sK2 @ sK8 = $true) | (sK2 @ sK7 = $true) | sK1 = sK8 | ~spl4_27),
1.42/0.54	  inference(equality_proxy_clausification,[],[f327])).
1.42/0.54	tff(f329,plain,(
1.42/0.54	  (sK1 @ sK7 = $true) | sK2 = sK8 | (sK2 @ sK7 = $true) | sK1 = sK8 | ~spl4_27),
1.42/0.54	  inference(equality_proxy_clausification,[],[f328])).
1.42/0.54	tff(f334,plain,(
1.42/0.54	  spl4_38 <=> sK1 = sK8),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_38])])).
1.42/0.54	tff(f340,plain,(
1.42/0.54	  spl4_40 <=> (sK2 @ sK7 = $true)),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_40])])).
1.42/0.54	tff(f346,plain,(
1.42/0.54	  spl4_42 <=> sK2 = sK8),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_42])])).
1.42/0.54	tff(f352,plain,(
1.42/0.54	  spl4_44 <=> (sK1 @ sK7 = $true)),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_44])])).
1.42/0.54	tff(f354,plain,(
1.42/0.54	  spl4_38 | spl4_40 | spl4_42 | spl4_44 | spl4_27),
1.42/0.54	  inference(avatar_split_clause,[],[f329,f163,f352,f346,f340,f334])).
1.42/0.54	tff(f359,plain,(
1.42/0.54	  spl4_46 <=> (sK8 @ sK7 = $true)),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_46])])).
1.42/0.54	tff(f361,plain,(
1.42/0.54	  spl4_40 | spl4_46 | spl4_44 | spl4_27),
1.42/0.54	  inference(avatar_split_clause,[],[f326,f163,f352,f359,f340])).
1.42/0.54	tff(f363,plain,(
1.42/0.54	  spl4_48 <=> ! [X1 : '$i' -> '$o'] : (sK2 != X1 | (X1 @ sK7 = $false))),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_48])])).
1.42/0.54	tff(f364,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : (sK2 != X1 | (X1 @ sK7 = $false)) ) | ~spl4_48),
1.42/0.54	  inference(avatar_component_clause,[],[f363])).
1.42/0.54	tff(f369,plain,(
1.42/0.54	  spl4_50 <=> (sK1 @ sK7 = $false)),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_50])])).
1.42/0.54	tff(f373,plain,(
1.42/0.54	  spl4_52 <=> ! [X1 : '$i' -> '$o'] : (sK1 != X1 | (X1 @ sK7 = $false))),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_52])])).
1.42/0.54	tff(f374,plain,(
1.42/0.54	  ( ! [X1:'$i' -> '$o'] : (sK1 != X1 | (X1 @ sK7 = $false)) ) | ~spl4_52),
1.42/0.54	  inference(avatar_component_clause,[],[f373])).
1.42/0.54	tff(f375,plain,(
1.42/0.54	  spl4_52 | spl4_50 | spl4_27),
1.42/0.54	  inference(avatar_split_clause,[],[f320,f163,f369,f373])).
1.42/0.54	tff(f380,plain,(
1.42/0.54	  spl4_54 <=> (sK2 @ sK7 = $false)),
1.42/0.54	  introduced(avatar_definition,[new_symbols(naming,[spl4_54])])).
1.42/0.54	tff(f382,plain,(
1.42/0.54	  spl4_48 | spl4_54 | spl4_27),
1.42/0.54	  inference(avatar_split_clause,[],[f317,f163,f380,f363])).
1.42/0.54	tff(f477,plain,(
1.42/0.54	  (sK2 @ sK7 = $false) | ~spl4_48),
1.42/0.54	  inference(equality_resolution,[],[f364])).
1.42/0.54	tff(f480,plain,(
1.42/0.54	  spl4_54 | ~spl4_48),
1.42/0.54	  inference(avatar_split_clause,[],[f477,f363,f380])).
1.42/0.54	tff(f482,plain,(
1.42/0.54	  (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) != $false) | (sK2 @ sK7 != $false) | (sK2 @ sK7 != $true) | (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) = $true)),
1.42/0.54	  introduced(theory_axiom,[])).
1.42/0.54	tff(f852,plain,(
1.42/0.54	  (sK1 @ sK7 = $false) | ~spl4_52),
1.42/0.54	  inference(equality_resolution,[],[f374])).
1.42/0.54	tff(f857,plain,(
1.42/0.54	  spl4_50 | ~spl4_52),
1.42/0.54	  inference(avatar_split_clause,[],[f852,f373,f369])).
1.42/0.54	tff(f861,plain,(
1.42/0.54	  (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) != $false) | (sK1 @ sK7 != $false) | (sK1 @ sK7 != $true) | (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) = $true)),
1.42/0.54	  introduced(theory_axiom,[])).
1.42/0.54	tff(f865,plain,(
1.42/0.54	  sK2 != sK8 | (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) != $false) | (sK2 @ sK7 != $false) | (sK8 @ sK7 != $true) | (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) = $true)),
1.42/0.54	  introduced(theory_axiom,[])).
1.42/0.54	tff(f870,plain,(
1.42/0.54	  sK1 != sK8 | (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) != $false) | (sK1 @ sK7 != $false) | (sK8 @ sK7 != $true) | (sK0 @ (sCOMB @ (bCOMB @ vOR @ sK1) @ sK2) = $true)),
1.42/0.54	  introduced(theory_axiom,[])).
1.42/0.54	tff(f871,plain,(
1.42/0.54	  $false),
1.42/0.54	  inference(avatar_sat_refutation,[],[f21,f28,f73,f165,f354,f361,f375,f382,f480,f482,f857,f861,f865,f870])).
1.42/0.54	% SZS output end Proof for theBenchmark
1.42/0.54	% (31848)------------------------------
1.42/0.54	% (31848)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
1.42/0.54	% (31848)Termination reason: Refutation
1.42/0.54	
1.42/0.54	% (31848)Memory used [KB]: 10746
1.42/0.54	% (31848)Time elapsed: 0.177 s
1.42/0.54	% (31848)------------------------------
1.42/0.54	% (31848)------------------------------
1.42/0.54	% (31838)Success in time 0.196 s
1.42/0.54	EOF