0.06/0.11	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.06/0.12	% Command    : run_vampire %s %d
0.11/0.32	% Computer   : n028.cluster.edu
0.11/0.32	% Model      : x86_64 x86_64
0.11/0.32	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.32	% Memory     : 8042.1875MB
0.11/0.32	% OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.32	% CPULimit   : 960
0.11/0.32	% WCLimit    : 120
0.11/0.32	% DateTime   : Thu Jul  2 07:39:06 EDT 2020
0.11/0.33	% CPUTime    : 
0.11/0.35	% (29395)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	% (29406)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
0.11/0.36	% (29407)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
0.11/0.36	% (29394)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	% (29399)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
0.11/0.37	% (29416)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
0.11/0.37	% (29408)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
0.11/0.37	% (29411)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
0.11/0.37	% (29420)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
0.11/0.37	% (29417)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
0.11/0.37	% (29397)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
0.11/0.37	% (29398)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
0.11/0.37	% (29393)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
0.11/0.37	% (29396)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
0.11/0.37	% (29405)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
0.11/0.37	% (29418)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	% (29410)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	% (29400)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
0.17/0.39	% (29412)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
0.17/0.39	% (29409)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
0.17/0.39	% (29421)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
0.17/0.39	% (29422)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	% (29402)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
0.17/0.39	% (29401)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
0.17/0.39	% (29404)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
0.17/0.39	% (29414)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
0.17/0.39	% (29413)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
0.17/0.39	% (29419)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
0.17/0.40	% (29415)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
0.17/0.40	% (29396)Refutation not found, incomplete strategy
0.17/0.40	% (29396)------------------------------
0.17/0.40	% (29396)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.17/0.40	% (29396)Termination reason: Refutation not found, incomplete strategy
0.17/0.40	
0.17/0.40	% (29396)Memory used [KB]: 10106
0.17/0.40	% (29396)Time elapsed: 0.058 s
0.17/0.40	% (29396)------------------------------
0.17/0.40	% (29396)------------------------------
0.17/0.40	% (29403)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
0.17/0.43	% (29403)Refutation not found, incomplete strategy
0.17/0.43	% (29403)------------------------------
0.17/0.43	% (29403)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.17/0.43	% (29403)Termination reason: Refutation not found, incomplete strategy
0.17/0.43	
0.17/0.43	% (29403)Memory used [KB]: 10234
0.17/0.43	% (29403)Time elapsed: 0.086 s
0.17/0.43	% (29403)------------------------------
0.17/0.43	% (29403)------------------------------
0.17/0.47	% (29423)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
0.17/0.51	% (29424)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
3.07/0.76	% (29407)Time limit reached!
3.07/0.76	% (29407)------------------------------
3.07/0.76	% (29407)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.07/0.77	% (29407)Termination reason: Time limit
3.07/0.77	% (29407)Termination phase: Saturation
3.07/0.77	
3.07/0.77	% (29407)Memory used [KB]: 8443
3.07/0.77	% (29407)Time elapsed: 0.400 s
3.07/0.77	% (29407)------------------------------
3.07/0.77	% (29407)------------------------------
3.07/0.81	% (29425)lrs+1011_8_add=large:csup=on:inj=on:prag=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_26 on theBenchmark
3.74/0.83	% (29416)Refutation found. Thanks to Tanya!
3.74/0.83	% SZS status Theorem for theBenchmark
3.74/0.83	% SZS output start Proof for theBenchmark
3.74/0.83	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
3.74/0.83	tff(func_def_5, type, s: '$i' -> '$i').
3.74/0.83	tff(func_def_6, type, cCKB6_BLACK: '$i' -> '$i' -> '$o').
3.74/0.83	tff(func_def_7, type, cCKB6_NUM: '$i' -> '$o').
3.74/0.83	tff(func_def_8, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
3.74/0.83	tff(func_def_9, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
3.74/0.83	tff(func_def_12, type, vIMP: '$o' -> '$o' -> '$o').
3.74/0.83	tff(func_def_13, type, vAND: '$o' -> '$o' -> '$o').
3.74/0.83	tff(func_def_14, type, vPI: !>[X0: $ttype]:(X0 -> '$o') -> '$o').
3.74/0.83	tff(func_def_15, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
3.74/0.83	tff(func_def_16, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
3.74/0.83	tff(func_def_17, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
3.74/0.83	tff(func_def_18, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
3.74/0.83	tff(func_def_22, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
3.74/0.83	tff(func_def_23, type, vOR: '$o' -> '$o' -> '$o').
3.74/0.83	tff(func_def_24, type, vNOT: '$o' -> '$o').
3.74/0.83	tff(func_def_25, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
3.74/0.83	tff(func_def_26, type, sK3: ('$i' -> '$i' -> '$o') -> '$i').
3.74/0.83	tff(func_def_27, type, sK4: ('$i' -> '$i' -> '$o') -> '$i').
3.74/0.83	tff(func_def_28, type, sK5: '$i' -> '$o').
3.74/0.83	tff(func_def_29, type, sK6: '$i' -> '$o').
3.74/0.83	tff(f1,axiom,(
3.74/0.83	  cCKB6_BLACK = (^[X0 : '$i', X1 : '$i'] : ! [X2 : '$i' -> '$i' -> '$o'] : ((! [X3,X4] : (X2 @ X3 @ X4 => (X2 @ (s @ X3) @ (s @ X4) & X2 @ (s @ (s @ X3)) @ X4)) & X2 @ c1 @ c1) => X2 @ X0 @ X1))),
3.74/0.83	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCKB6_BLACK_def)).
3.74/0.83	tff(f2,axiom,(
3.74/0.83	  cCKB6_NUM = (^[X5 : '$i'] : ! [X6 : '$i' -> '$o'] : ((! [X2] : (X6 @ X2 => X6 @ (s @ X2)) & X6 @ c1) => X6 @ X5))),
3.74/0.83	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCKB6_NUM_def)).
3.74/0.83	tff(f3,conjecture,(
3.74/0.83	  ! [X5,X7] : (cCKB6_BLACK @ X5 @ X7 => (cCKB6_NUM @ X5 & cCKB6_NUM @ X7))),
3.74/0.83	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cCKB6_L6000_pme)).
3.74/0.83	tff(f4,negated_conjecture,(
3.74/0.83	  ~! [X5,X7] : (cCKB6_BLACK @ X5 @ X7 => (cCKB6_NUM @ X5 & cCKB6_NUM @ X7))),
3.74/0.83	  inference(negated_conjecture,[],[f3])).
3.74/0.83	tff(f5,plain,(
3.74/0.83	  ~! [X0,X1] : (cCKB6_BLACK @ X0 @ X1 => (cCKB6_NUM @ X0 & cCKB6_NUM @ X1))),
3.74/0.83	  inference(rectify,[],[f4])).
3.74/0.83	tff(f6,plain,(
3.74/0.83	  ~! [X0,X1] : ((cCKB6_BLACK @ X0 @ X1 = $true) => ((cCKB6_NUM @ X0 = $true) & (cCKB6_NUM @ X1 = $true)))),
3.74/0.83	  inference(fool_elimination,[],[f5])).
3.74/0.83	tff(f7,plain,(
3.74/0.83	  cCKB6_BLACK = (^[X0 : '$i', X1 : '$i'] : ! [X2 : '$i' -> '$i' -> '$o'] : ((! [X3,X4] : (X2 @ X3 @ X4 => (X2 @ (s @ X3) @ (s @ X4) & X2 @ (s @ (s @ X3)) @ X4)) & X2 @ c1 @ c1) => X2 @ X0 @ X1))),
3.74/0.83	  inference(rectify,[],[f1])).
3.74/0.84	tff(f8,plain,(
3.74/0.84	  cCKB6_BLACK = bCOMB @ (bCOMB @ vPI('$i' -> '$i' -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (cCOMB @ iCOMB @ c1) @ c1)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ (bCOMB @ s @ s)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ s))) @ s))))))))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB)))),
3.74/0.84	  inference(fool_elimination,[],[f7])).
3.74/0.84	tff(f9,plain,(
3.74/0.84	  cCKB6_NUM = (^[X0 : '$i'] : ! [X1 : '$i' -> '$o'] : ((! [X2] : (X1 @ X2 => X1 @ (s @ X2)) & X1 @ c1) => X1 @ X0))),
3.74/0.84	  inference(rectify,[],[f2])).
3.74/0.84	tff(f10,plain,(
3.74/0.84	  cCKB6_NUM = bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s)))))) @ (cCOMB @ iCOMB))),
3.74/0.84	  inference(fool_elimination,[],[f9])).
3.74/0.84	tff(f11,plain,(
3.74/0.84	  ? [X0,X1] : (((cCKB6_NUM @ X0 != $true) | (cCKB6_NUM @ X1 != $true)) & (cCKB6_BLACK @ X0 @ X1 = $true))),
3.74/0.84	  inference(ennf_transformation,[],[f6])).
3.74/0.84	tff(f12,plain,(
3.74/0.84	  ? [X0,X1] : (((cCKB6_NUM @ X0 != $true) | (cCKB6_NUM @ X1 != $true)) & (cCKB6_BLACK @ X0 @ X1 = $true)) => (((cCKB6_NUM @ sK0 != $true) | (cCKB6_NUM @ sK1 != $true)) & (cCKB6_BLACK @ sK0 @ sK1 = $true))),
3.74/0.84	  introduced(choice_axiom,[])).
3.74/0.84	tff(f13,plain,(
3.74/0.84	  ((cCKB6_NUM @ sK0 != $true) | (cCKB6_NUM @ sK1 != $true)) & (cCKB6_BLACK @ sK0 @ sK1 = $true)),
3.74/0.84	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f11,f12])).
3.74/0.84	tff(f14,plain,(
3.74/0.84	  (cCKB6_BLACK @ sK0 @ sK1 = $true)),
3.74/0.84	  inference(cnf_transformation,[],[f13])).
3.74/0.84	tff(f15,plain,(
3.74/0.84	  (cCKB6_NUM @ sK0 != $true) | (cCKB6_NUM @ sK1 != $true)),
3.74/0.84	  inference(cnf_transformation,[],[f13])).
3.74/0.84	tff(f16,plain,(
3.74/0.84	  cCKB6_NUM = bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s)))))) @ (cCOMB @ iCOMB))),
3.74/0.84	  inference(cnf_transformation,[],[f10])).
3.74/0.84	tff(f17,plain,(
3.74/0.84	  cCKB6_BLACK = bCOMB @ (bCOMB @ vPI('$i' -> '$i' -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (cCOMB @ iCOMB @ c1) @ c1)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ (bCOMB @ s @ s)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ s))) @ s))))))))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB)))),
3.74/0.84	  inference(cnf_transformation,[],[f8])).
3.74/0.84	tff(f18,plain,(
3.74/0.84	  (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s)))))) @ (cCOMB @ iCOMB)) @ sK0 != $true) | (bCOMB @ vPI('$i' -> '$o') @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s)))))) @ (cCOMB @ iCOMB)) @ sK1 != $true)),
3.74/0.84	  inference(definition_unfolding,[],[f15,f16,f16])).
3.74/0.84	tff(f19,plain,(
3.74/0.84	  (bCOMB @ (bCOMB @ vPI('$i' -> '$i' -> '$o')) @ (bCOMB @ (bCOMB @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (cCOMB @ iCOMB @ c1) @ c1)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ (bCOMB @ s @ s)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ s))) @ s))))))))) @ (bCOMB @ cCOMB @ (cCOMB @ iCOMB))) @ sK0 @ sK1 = $true)),
3.74/0.84	  inference(definition_unfolding,[],[f14,f17])).
3.74/0.84	tff(f20,plain,(
3.74/0.84	  (vPI('$i' -> '$i' -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (cCOMB @ iCOMB @ c1) @ c1)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ (bCOMB @ s @ s)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ s))) @ s))))))) @ (cCOMB @ (cCOMB @ iCOMB @ sK0) @ sK1)) = $true)),
3.74/0.84	  inference(combinator_demodulation,[],[f19])).
3.74/0.84	tff(f21,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (cCOMB @ iCOMB @ c1) @ c1)) @ (bCOMB @ vPI('$i') @ (bCOMB @ (bCOMB @ vPI('$i')) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vIMP)) @ cCOMB))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ sCOMB) @ (bCOMB @ (bCOMB @ (bCOMB @ vAND)) @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ (bCOMB @ s @ s)))))) @ (cCOMB @ (bCOMB @ bCOMB @ (bCOMB @ cCOMB @ (cCOMB @ bCOMB @ s))) @ s))))))) @ (cCOMB @ (cCOMB @ iCOMB @ sK0) @ sK1) @ X1 = $true)) )),
3.74/0.84	  inference(pi_clausification,[],[f20])).
3.74/0.84	tff(f22,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((vIMP @ (vAND @ (X1 @ c1 @ c1) @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X1))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ X1 @ (bCOMB @ s @ s))))) @ (bCOMB @ (cCOMB @ (bCOMB @ X1 @ s)) @ s)))))) @ (X1 @ sK0 @ sK1) = $true)) )),
3.74/0.84	  inference(combinator_demodulation,[],[f21])).
3.74/0.84	tff(f23,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((vAND @ (X1 @ c1 @ c1) @ (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X1))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ X1 @ (bCOMB @ s @ s))))) @ (bCOMB @ (cCOMB @ (bCOMB @ X1 @ s)) @ s))))) = $false) | (X1 @ sK0 @ sK1 = $true)) )),
3.74/0.84	  inference(binary_proxy_clausification,[],[f22])).
3.74/0.84	tff(f24,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((X1 @ c1 @ c1 = $false) | (X1 @ sK0 @ sK1 = $true) | (vPI('$i') @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X1))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ X1 @ (bCOMB @ s @ s))))) @ (bCOMB @ (cCOMB @ (bCOMB @ X1 @ s)) @ s)))) = $false)) )),
3.74/0.84	  inference(binary_proxy_clausification,[],[f23])).
3.74/0.84	tff(f25,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((X1 @ c1 @ c1 = $false) | (X1 @ sK0 @ sK1 = $true) | (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vIMP) @ (cCOMB @ X1))) @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ (bCOMB @ vAND) @ (cCOMB @ (bCOMB @ X1 @ (bCOMB @ s @ s))))) @ (bCOMB @ (cCOMB @ (bCOMB @ X1 @ s)) @ s))) @ (sK3 @ X1) = $false)) )),
3.74/0.84	  inference(sigma_clausification,[],[f24])).
3.74/0.84	tff(f26,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((X1 @ c1 @ c1 = $false) | (X1 @ sK0 @ sK1 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ X1 @ (sK3 @ X1))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ X1 @ (bCOMB @ s @ s)) @ (sK3 @ X1))) @ (cCOMB @ (bCOMB @ X1 @ s) @ (s @ (sK3 @ X1))))) = $false)) )),
3.74/0.84	  inference(combinator_demodulation,[],[f25])).
3.74/0.84	tff(f27,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((X1 @ c1 @ c1 = $false) | (X1 @ sK0 @ sK1 = $true) | (sCOMB @ (bCOMB @ vIMP @ (cCOMB @ X1 @ (sK3 @ X1))) @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ (bCOMB @ X1 @ (bCOMB @ s @ s)) @ (sK3 @ X1))) @ (cCOMB @ (bCOMB @ X1 @ s) @ (s @ (sK3 @ X1)))) @ (sK4 @ X1) = $false)) )),
3.74/0.84	  inference(sigma_clausification,[],[f26])).
3.74/0.84	tff(f28,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((X1 @ c1 @ c1 = $false) | (X1 @ sK0 @ sK1 = $true) | (vIMP @ (X1 @ (sK4 @ X1) @ (sK3 @ X1)) @ (vAND @ (X1 @ (s @ (s @ (sK4 @ X1))) @ (sK3 @ X1)) @ (X1 @ (s @ (sK4 @ X1)) @ (s @ (sK3 @ X1)))) = $false)) )),
3.74/0.84	  inference(combinator_demodulation,[],[f27])).
3.74/0.84	tff(f29,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((X1 @ (sK4 @ X1) @ (sK3 @ X1) = $true) | (X1 @ sK0 @ sK1 = $true) | (X1 @ c1 @ c1 = $false)) )),
3.74/0.84	  inference(binary_proxy_clausification,[],[f28])).
3.74/0.84	tff(f30,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((X1 @ c1 @ c1 = $false) | (X1 @ sK0 @ sK1 = $true) | (vAND @ (X1 @ (s @ (s @ (sK4 @ X1))) @ (sK3 @ X1)) @ (X1 @ (s @ (sK4 @ X1)) @ (s @ (sK3 @ X1))) = $false)) )),
3.74/0.84	  inference(binary_proxy_clausification,[],[f28])).
3.74/0.84	tff(f31,plain,(
3.74/0.84	  ( ! [X1:'$i' -> '$i' -> '$o'] : ((X1 @ (s @ (sK4 @ X1)) @ (s @ (sK3 @ X1)) = $false) | (X1 @ sK0 @ sK1 = $true) | (X1 @ (s @ (s @ (sK4 @ X1))) @ (sK3 @ X1) = $false) | (X1 @ c1 @ c1 = $false)) )),
3.74/0.84	  inference(binary_proxy_clausification,[],[f30])).
3.74/0.84	tff(f32,plain,(
3.74/0.84	  (vPI('$i' -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s))))) @ (cCOMB @ iCOMB @ sK0)) != $true) | (vPI('$i' -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s))))) @ (cCOMB @ iCOMB @ sK1)) != $true)),
3.74/0.84	  inference(combinator_demodulation,[],[f18])).
3.74/0.84	tff(f33,plain,(
3.74/0.84	  (vPI('$i' -> '$o') @ (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s))))) @ (cCOMB @ iCOMB @ sK0)) != $true) | (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s))))) @ (cCOMB @ iCOMB @ sK1) @ sK5 = $false)),
3.74/0.84	  inference(sigma_clausification,[],[f32])).
3.74/0.84	tff(f34,plain,(
3.74/0.84	  (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s))))) @ (cCOMB @ iCOMB @ sK0) @ sK6 = $false) | (sCOMB @ (bCOMB @ vIMP @ (sCOMB @ (bCOMB @ vAND @ (cCOMB @ iCOMB @ c1)) @ (bCOMB @ vPI('$i') @ (sCOMB @ (bCOMB @ sCOMB @ (bCOMB @ vIMP)) @ (cCOMB @ bCOMB @ s))))) @ (cCOMB @ iCOMB @ sK1) @ sK5 = $false)),
3.74/0.84	  inference(sigma_clausification,[],[f33])).
3.74/0.84	tff(f35,plain,(
3.74/0.84	  (vIMP @ (vAND @ (sK6 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK6) @ (bCOMB @ sK6 @ s)))) @ (sK6 @ sK0) = $false) | (vIMP @ (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)))) @ (sK5 @ sK1) = $false)),
3.74/0.84	  inference(combinator_demodulation,[],[f34])).
3.74/0.84	tff(f36,plain,(
3.74/0.84	  (vAND @ (sK6 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK6) @ (bCOMB @ sK6 @ s))) = $true) | (vIMP @ (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)))) @ (sK5 @ sK1) = $false)),
3.74/0.84	  inference(binary_proxy_clausification,[],[f35])).
3.74/0.84	tff(f37,plain,(
3.74/0.84	  (sK6 @ sK0 = $false) | (vIMP @ (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)))) @ (sK5 @ sK1) = $false)),
3.74/0.84	  inference(binary_proxy_clausification,[],[f35])).
3.74/0.84	tff(f38,plain,(
3.74/0.84	  (sK6 @ sK0 = $false) | (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s))) = $true)),
3.74/0.84	  inference(binary_proxy_clausification,[],[f37])).
3.74/0.84	tff(f39,plain,(
3.74/0.84	  (sK6 @ sK0 = $false) | (sK5 @ sK1 = $false)),
3.74/0.84	  inference(binary_proxy_clausification,[],[f37])).
3.74/0.84	tff(f40,plain,(
3.74/0.84	  (sK6 @ sK0 = $false) | (sK5 @ c1 = $true)),
3.74/0.84	  inference(binary_proxy_clausification,[],[f38])).
3.74/0.84	tff(f41,plain,(
3.74/0.84	  (sK6 @ sK0 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)) = $true)),
3.74/0.84	  inference(binary_proxy_clausification,[],[f38])).
3.74/0.84	% (29393)Time limit reached!
3.74/0.84	% (29393)------------------------------
3.74/0.84	% (29393)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.74/0.85	% (29404)Time limit reached!
3.74/0.85	% (29404)------------------------------
3.74/0.85	% (29404)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.74/0.85	% (29404)Termination reason: Time limit
3.74/0.85	
3.74/0.85	% (29404)Memory used [KB]: 10874
3.74/0.85	% (29404)Time elapsed: 0.507 s
3.74/0.85	% (29404)------------------------------
3.74/0.85	% (29404)------------------------------
3.74/0.85	% (29393)Termination reason: Time limit
3.74/0.85	% (29393)Termination phase: Saturation
3.74/0.85	
3.74/0.85	% (29393)Memory used [KB]: 3070
3.74/0.85	% (29393)Time elapsed: 0.500 s
3.74/0.85	% (29393)------------------------------
3.74/0.85	% (29393)------------------------------
3.74/0.86	tff(f42,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ sK0 = $false) | (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s) @ X1 = $true)) )),
3.74/0.86	  inference(pi_clausification,[],[f41])).
3.74/0.86	tff(f43,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ sK0 = $false) | (vIMP @ (sK5 @ X1) @ (sK5 @ (s @ X1)) = $true)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f42])).
3.74/0.86	tff(f44,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ sK0 = $false) | (sK5 @ X1 = $false) | (sK5 @ (s @ X1) = $true)) )),
3.74/0.86	  inference(binary_proxy_clausification,[],[f43])).
3.74/0.86	tff(f45,plain,(
3.74/0.86	  (sK6 @ c1 = $true) | (vIMP @ (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)))) @ (sK5 @ sK1) = $false)),
3.74/0.86	  inference(binary_proxy_clausification,[],[f36])).
3.74/0.86	tff(f46,plain,(
3.74/0.86	  (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK6) @ (bCOMB @ sK6 @ s)) = $true) | (vIMP @ (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)))) @ (sK5 @ sK1) = $false)),
3.74/0.86	  inference(binary_proxy_clausification,[],[f36])).
3.74/0.86	tff(f47,plain,(
3.74/0.86	  ( ! [X1] : ((sCOMB @ (bCOMB @ vIMP @ sK6) @ (bCOMB @ sK6 @ s) @ X1 = $true) | (vIMP @ (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)))) @ (sK5 @ sK1) = $false)) )),
3.74/0.86	  inference(pi_clausification,[],[f46])).
3.74/0.86	tff(f48,plain,(
3.74/0.86	  ( ! [X1] : ((vIMP @ (sK6 @ X1) @ (sK6 @ (s @ X1)) = $true) | (vIMP @ (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)))) @ (sK5 @ sK1) = $false)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f47])).
3.74/0.86	tff(f49,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ X1 = $false) | (vIMP @ (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)))) @ (sK5 @ sK1) = $false) | (sK6 @ (s @ X1) = $true)) )),
3.74/0.86	  inference(binary_proxy_clausification,[],[f48])).
3.74/0.86	tff(f50,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ X1 = $false) | (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s))) = $true) | (sK6 @ (s @ X1) = $true)) )),
3.74/0.86	  inference(binary_proxy_clausification,[],[f49])).
3.74/0.86	tff(f51,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ X1 = $false) | (sK5 @ sK1 = $false) | (sK6 @ (s @ X1) = $true)) )),
3.74/0.86	  inference(binary_proxy_clausification,[],[f49])).
3.74/0.86	tff(f52,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ X1 = $false) | (sK5 @ c1 = $true) | (sK6 @ (s @ X1) = $true)) )),
3.74/0.86	  inference(binary_proxy_clausification,[],[f50])).
3.74/0.86	tff(f53,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ X1 = $false) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)) = $true) | (sK6 @ (s @ X1) = $true)) )),
3.74/0.86	  inference(binary_proxy_clausification,[],[f50])).
3.74/0.86	tff(f54,plain,(
3.74/0.86	  ( ! [X2,X1] : ((sK6 @ X1 = $false) | (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s) @ X2 = $true) | (sK6 @ (s @ X1) = $true)) )),
3.74/0.86	  inference(pi_clausification,[],[f53])).
3.74/0.86	tff(f55,plain,(
3.74/0.86	  ( ! [X2,X1] : ((sK6 @ X1 = $false) | (vIMP @ (sK5 @ X2) @ (sK5 @ (s @ X2)) = $true) | (sK6 @ (s @ X1) = $true)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f54])).
3.74/0.86	tff(f56,plain,(
3.74/0.86	  ( ! [X2,X1] : ((sK6 @ X1 = $false) | (sK5 @ X2 = $false) | (sK6 @ (s @ X1) = $true) | (sK5 @ (s @ X2) = $true)) )),
3.74/0.86	  inference(binary_proxy_clausification,[],[f55])).
3.74/0.86	tff(f57,plain,(
3.74/0.86	  (sK6 @ c1 = $true) | (vAND @ (sK5 @ c1) @ (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s))) = $true)),
3.74/0.86	  inference(binary_proxy_clausification,[],[f45])).
3.74/0.86	tff(f58,plain,(
3.74/0.86	  (sK6 @ c1 = $true) | (sK5 @ sK1 = $false)),
3.74/0.86	  inference(binary_proxy_clausification,[],[f45])).
3.74/0.86	tff(f59,plain,(
3.74/0.86	  (sK6 @ c1 = $true) | (sK5 @ c1 = $true)),
3.74/0.86	  inference(binary_proxy_clausification,[],[f57])).
3.74/0.86	tff(f60,plain,(
3.74/0.86	  (sK6 @ c1 = $true) | (vPI('$i') @ (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s)) = $true)),
3.74/0.86	  inference(binary_proxy_clausification,[],[f57])).
3.74/0.86	tff(f61,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ c1 = $true) | (sCOMB @ (bCOMB @ vIMP @ sK5) @ (bCOMB @ sK5 @ s) @ X1 = $true)) )),
3.74/0.86	  inference(pi_clausification,[],[f60])).
3.74/0.86	tff(f62,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ c1 = $true) | (vIMP @ (sK5 @ X1) @ (sK5 @ (s @ X1)) = $true)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f61])).
3.74/0.86	tff(f63,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ c1 = $true) | (sK5 @ X1 = $false) | (sK5 @ (s @ X1) = $true)) )),
3.74/0.86	  inference(binary_proxy_clausification,[],[f62])).
3.74/0.86	tff(f68,plain,(
3.74/0.86	  spl2_0 <=> (sK5 @ c1 = $true)),
3.74/0.86	  introduced(avatar_definition,[new_symbols(naming,[spl2_0])])).
3.74/0.86	tff(f69,plain,(
3.74/0.86	  (sK5 @ c1 = $true) | ~spl2_0),
3.74/0.86	  inference(avatar_component_clause,[],[f68])).
3.74/0.86	tff(f74,plain,(
3.74/0.86	  spl2_2 <=> (sK6 @ c1 = $true)),
3.74/0.86	  introduced(avatar_definition,[new_symbols(naming,[spl2_2])])).
3.74/0.86	tff(f75,plain,(
3.74/0.86	  (sK6 @ c1 = $true) | ~spl2_2),
3.74/0.86	  inference(avatar_component_clause,[],[f74])).
3.74/0.86	tff(f76,plain,(
3.74/0.86	  spl2_0 | spl2_2),
3.74/0.86	  inference(avatar_split_clause,[],[f59,f74,f68])).
3.74/0.86	tff(f78,plain,(
3.74/0.86	  spl2_4 <=> ! [X1] : ((sK5 @ X1 = $false) | (sK5 @ (s @ X1) = $true))),
3.74/0.86	  introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
3.74/0.86	tff(f79,plain,(
3.74/0.86	  ( ! [X1] : ((sK5 @ (s @ X1) = $true) | (sK5 @ X1 = $false)) ) | ~spl2_4),
3.74/0.86	  inference(avatar_component_clause,[],[f78])).
3.74/0.86	tff(f80,plain,(
3.74/0.86	  spl2_4 | spl2_2),
3.74/0.86	  inference(avatar_split_clause,[],[f63,f74,f78])).
3.74/0.86	tff(f85,plain,(
3.74/0.86	  spl2_6 <=> (sK5 @ sK1 = $false)),
3.74/0.86	  introduced(avatar_definition,[new_symbols(naming,[spl2_6])])).
3.74/0.86	tff(f86,plain,(
3.74/0.86	  (sK5 @ sK1 = $false) | ~spl2_6),
3.74/0.86	  inference(avatar_component_clause,[],[f85])).
3.74/0.86	tff(f87,plain,(
3.74/0.86	  spl2_6 | spl2_2),
3.74/0.86	  inference(avatar_split_clause,[],[f58,f74,f85])).
3.74/0.86	tff(f89,plain,(
3.74/0.86	  spl2_8 <=> ! [X1] : ((sK6 @ X1 = $false) | (sK6 @ (s @ X1) = $true))),
3.74/0.86	  introduced(avatar_definition,[new_symbols(naming,[spl2_8])])).
3.74/0.86	tff(f90,plain,(
3.74/0.86	  ( ! [X1] : ((sK6 @ (s @ X1) = $true) | (sK6 @ X1 = $false)) ) | ~spl2_8),
3.74/0.86	  inference(avatar_component_clause,[],[f89])).
3.74/0.86	tff(f91,plain,(
3.74/0.86	  spl2_0 | spl2_8),
3.74/0.86	  inference(avatar_split_clause,[],[f52,f89,f68])).
3.74/0.86	tff(f92,plain,(
3.74/0.86	  spl2_4 | spl2_8),
3.74/0.86	  inference(avatar_split_clause,[],[f56,f89,f78])).
3.74/0.86	tff(f93,plain,(
3.74/0.86	  spl2_6 | spl2_8),
3.74/0.86	  inference(avatar_split_clause,[],[f51,f89,f85])).
3.74/0.86	tff(f98,plain,(
3.74/0.86	  spl2_10 <=> (sK6 @ sK0 = $false)),
3.74/0.86	  introduced(avatar_definition,[new_symbols(naming,[spl2_10])])).
3.74/0.86	tff(f99,plain,(
3.74/0.86	  (sK6 @ sK0 = $false) | ~spl2_10),
3.74/0.86	  inference(avatar_component_clause,[],[f98])).
3.74/0.86	tff(f100,plain,(
3.74/0.86	  spl2_0 | spl2_10),
3.74/0.86	  inference(avatar_split_clause,[],[f40,f98,f68])).
3.74/0.86	tff(f101,plain,(
3.74/0.86	  spl2_4 | spl2_10),
3.74/0.86	  inference(avatar_split_clause,[],[f44,f98,f78])).
3.74/0.86	tff(f102,plain,(
3.74/0.86	  spl2_6 | spl2_10),
3.74/0.86	  inference(avatar_split_clause,[],[f39,f98,f85])).
3.74/0.86	tff(f108,plain,(
3.74/0.86	  ( ! [X9:'$i' -> '$o'] : ((X9 @ (sK3 @ (kCOMB @ X9)) = $true) | (kCOMB @ X9 @ sK0 @ sK1 = $true) | (kCOMB @ X9 @ c1 @ c1 = $false)) )),
3.74/0.86	  inference(narrow,[],[f29])).
3.74/0.86	tff(f109,plain,(
3.74/0.86	  ( ! [X0:'$i' -> '$i' -> '$o'] : ((X0 @ (sK3 @ (cCOMB @ X0)) @ (sK4 @ (cCOMB @ X0)) = $true) | (cCOMB @ X0 @ sK0 @ sK1 = $true) | (cCOMB @ X0 @ c1 @ c1 = $false)) )),
3.74/0.86	  inference(narrow,[],[f29])).
3.74/0.86	tff(f110,plain,(
3.74/0.86	  ( ! [X0:'$i' -> '$i' -> '$o'] : ((X0 @ (sK3 @ (cCOMB @ X0)) @ (sK4 @ (cCOMB @ X0)) = $true) | (X0 @ sK1 @ sK0 = $true) | (X0 @ c1 @ c1 = $false)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f109])).
3.74/0.86	tff(f111,plain,(
3.74/0.86	  ( ! [X9:'$i' -> '$o'] : ((X9 @ (sK3 @ (kCOMB @ X9)) = $true) | (X9 @ sK1 = $true) | (X9 @ c1 = $false)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f108])).
3.74/0.86	tff(f308,plain,(
3.74/0.86	  ( ! [X9:'$i' -> '$o'] : ((X9 @ (s @ (sK3 @ (kCOMB @ X9))) = $false) | (kCOMB @ X9 @ sK0 @ sK1 = $true) | (kCOMB @ X9 @ (s @ (s @ (sK4 @ (kCOMB @ X9)))) @ (sK3 @ (kCOMB @ X9)) = $false) | (kCOMB @ X9 @ c1 @ c1 = $false)) )),
3.74/0.86	  inference(narrow,[],[f31])).
3.74/0.86	tff(f309,plain,(
3.74/0.86	  ( ! [X0:'$i' -> '$i' -> '$o'] : ((X0 @ (s @ (sK3 @ (cCOMB @ X0))) @ (s @ (sK4 @ (cCOMB @ X0))) = $false) | (cCOMB @ X0 @ sK0 @ sK1 = $true) | (cCOMB @ X0 @ (s @ (s @ (sK4 @ (cCOMB @ X0)))) @ (sK3 @ (cCOMB @ X0)) = $false) | (cCOMB @ X0 @ c1 @ c1 = $false)) )),
3.74/0.86	  inference(narrow,[],[f31])).
3.74/0.86	tff(f310,plain,(
3.74/0.86	  ( ! [X0:'$i' -> '$i' -> '$o'] : ((X0 @ (sK3 @ (cCOMB @ X0)) @ (s @ (s @ (sK4 @ (cCOMB @ X0)))) = $false) | (X0 @ sK1 @ sK0 = $true) | (X0 @ (s @ (sK3 @ (cCOMB @ X0))) @ (s @ (sK4 @ (cCOMB @ X0))) = $false) | (X0 @ c1 @ c1 = $false)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f309])).
3.74/0.86	tff(f311,plain,(
3.74/0.86	  ( ! [X9:'$i' -> '$o'] : ((X9 @ (s @ (sK3 @ (kCOMB @ X9))) = $false) | (X9 @ sK1 = $true) | (X9 @ (sK3 @ (kCOMB @ X9)) = $false) | (X9 @ c1 = $false)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f308])).
3.74/0.86	tff(f498,plain,(
3.74/0.86	  ( ! [X9:'$i' -> '$o'] : ((X9 @ (sK4 @ (cCOMB @ (kCOMB @ X9))) = $true) | (kCOMB @ X9 @ sK1 @ sK0 = $true) | (kCOMB @ X9 @ c1 @ c1 = $false)) )),
3.74/0.86	  inference(narrow,[],[f110])).
3.74/0.86	tff(f502,plain,(
3.74/0.86	  ( ! [X9:'$i' -> '$o'] : ((X9 @ (sK4 @ (cCOMB @ (kCOMB @ X9))) = $true) | (X9 @ sK0 = $true) | (X9 @ c1 = $false)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f498])).
3.74/0.86	tff(f654,plain,(
3.74/0.86	  ($false = $true) | (sK5 @ sK1 = $true) | (sK5 @ (sK3 @ (kCOMB @ sK5)) = $false) | (sK5 @ c1 = $false) | (sK5 @ (sK3 @ (kCOMB @ sK5)) = $false) | ~spl2_4),
3.74/0.86	  inference(superposition,[],[f311,f79])).
3.74/0.86	tff(f664,plain,(
3.74/0.86	  ($false = $true) | (sK5 @ sK1 = $true) | (sK5 @ (sK3 @ (kCOMB @ sK5)) = $false) | (sK5 @ c1 = $false) | ~spl2_4),
3.74/0.86	  inference(duplicate_literal_removal,[],[f654])).
3.74/0.86	tff(f665,plain,(
3.74/0.86	  (sK5 @ sK1 = $true) | (sK5 @ (sK3 @ (kCOMB @ sK5)) = $false) | (sK5 @ c1 = $false) | ~spl2_4),
3.74/0.86	  inference(trivial_inequality_removal,[],[f664])).
3.74/0.86	tff(f688,plain,(
3.74/0.86	  ($false = $true) | (sK5 @ (sK3 @ (kCOMB @ sK5)) = $false) | (sK5 @ c1 = $false) | (~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(forward_demodulation,[],[f665,f86])).
3.74/0.86	tff(f689,plain,(
3.74/0.86	  (sK5 @ (sK3 @ (kCOMB @ sK5)) = $false) | (sK5 @ c1 = $false) | (~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f688])).
3.74/0.86	tff(f690,plain,(
3.74/0.86	  ($false = $true) | (sK5 @ (sK3 @ (kCOMB @ sK5)) = $false) | (~spl2_0 | ~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(forward_demodulation,[],[f689,f69])).
3.74/0.86	tff(f691,plain,(
3.74/0.86	  (sK5 @ (sK3 @ (kCOMB @ sK5)) = $false) | (~spl2_0 | ~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f690])).
3.74/0.86	tff(f710,plain,(
3.74/0.86	  ($false = $true) | (sK5 @ sK1 = $true) | (sK5 @ c1 = $false) | (~spl2_0 | ~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(superposition,[],[f691,f111])).
3.74/0.86	tff(f713,plain,(
3.74/0.86	  (sK5 @ sK1 = $true) | (sK5 @ c1 = $false) | (~spl2_0 | ~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f710])).
3.74/0.86	tff(f715,plain,(
3.74/0.86	  ($false = $true) | (sK5 @ c1 = $false) | (~spl2_0 | ~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(forward_demodulation,[],[f713,f86])).
3.74/0.86	tff(f716,plain,(
3.74/0.86	  (sK5 @ c1 = $false) | (~spl2_0 | ~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f715])).
3.74/0.86	tff(f717,plain,(
3.74/0.86	  ($false = $true) | (~spl2_0 | ~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(backward_demodulation,[],[f716,f69])).
3.74/0.86	tff(f718,plain,(
3.74/0.86	  $false | (~spl2_0 | ~spl2_4 | ~spl2_6)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f717])).
3.74/0.86	tff(f719,plain,(
3.74/0.86	  ~spl2_0 | ~spl2_4 | ~spl2_6),
3.74/0.86	  inference(avatar_contradiction_clause,[],[f718])).
3.74/0.86	tff(f876,plain,(
3.74/0.86	  ( ! [X9:'$i' -> '$o'] : ((X9 @ (s @ (s @ (sK4 @ (cCOMB @ (kCOMB @ X9))))) = $false) | (kCOMB @ X9 @ sK1 @ sK0 = $true) | (kCOMB @ X9 @ (s @ (sK3 @ (cCOMB @ (kCOMB @ X9)))) @ (s @ (sK4 @ (cCOMB @ (kCOMB @ X9)))) = $false) | (kCOMB @ X9 @ c1 @ c1 = $false)) )),
3.74/0.86	  inference(narrow,[],[f310])).
3.74/0.86	tff(f882,plain,(
3.74/0.86	  ( ! [X9:'$i' -> '$o'] : ((X9 @ (s @ (s @ (sK4 @ (cCOMB @ (kCOMB @ X9))))) = $false) | (X9 @ sK0 = $true) | (X9 @ (s @ (sK4 @ (cCOMB @ (kCOMB @ X9)))) = $false) | (X9 @ c1 = $false)) )),
3.74/0.86	  inference(combinator_demodulation,[],[f876])).
3.74/0.86	tff(f1411,plain,(
3.74/0.86	  ($false = $true) | (sK6 @ sK0 = $true) | (sK6 @ (s @ (sK4 @ (cCOMB @ (kCOMB @ sK6)))) = $false) | (sK6 @ c1 = $false) | (sK6 @ (s @ (sK4 @ (cCOMB @ (kCOMB @ sK6)))) = $false) | ~spl2_8),
3.74/0.86	  inference(superposition,[],[f882,f90])).
3.74/0.86	tff(f1418,plain,(
3.74/0.86	  ($false = $true) | (sK6 @ sK0 = $true) | (sK6 @ (s @ (sK4 @ (cCOMB @ (kCOMB @ sK6)))) = $false) | (sK6 @ c1 = $false) | ~spl2_8),
3.74/0.86	  inference(duplicate_literal_removal,[],[f1411])).
3.74/0.86	tff(f1419,plain,(
3.74/0.86	  (sK6 @ sK0 = $true) | (sK6 @ (s @ (sK4 @ (cCOMB @ (kCOMB @ sK6)))) = $false) | (sK6 @ c1 = $false) | ~spl2_8),
3.74/0.86	  inference(trivial_inequality_removal,[],[f1418])).
3.74/0.86	tff(f1475,plain,(
3.74/0.86	  ($false = $true) | (sK6 @ (s @ (sK4 @ (cCOMB @ (kCOMB @ sK6)))) = $false) | (sK6 @ c1 = $false) | (~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(forward_demodulation,[],[f1419,f99])).
3.74/0.86	tff(f1476,plain,(
3.74/0.86	  (sK6 @ (s @ (sK4 @ (cCOMB @ (kCOMB @ sK6)))) = $false) | (sK6 @ c1 = $false) | (~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f1475])).
3.74/0.86	tff(f1477,plain,(
3.74/0.86	  ($false = $true) | (sK6 @ (s @ (sK4 @ (cCOMB @ (kCOMB @ sK6)))) = $false) | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(forward_demodulation,[],[f1476,f75])).
3.74/0.86	tff(f1478,plain,(
3.74/0.86	  (sK6 @ (s @ (sK4 @ (cCOMB @ (kCOMB @ sK6)))) = $false) | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f1477])).
3.74/0.86	tff(f1644,plain,(
3.74/0.86	  ($false = $true) | (sK6 @ (sK4 @ (cCOMB @ (kCOMB @ sK6))) = $false) | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(superposition,[],[f1478,f90])).
3.74/0.86	tff(f1647,plain,(
3.74/0.86	  (sK6 @ (sK4 @ (cCOMB @ (kCOMB @ sK6))) = $false) | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f1644])).
3.74/0.86	tff(f1650,plain,(
3.74/0.86	  ($false = $true) | (sK6 @ sK0 = $true) | (sK6 @ c1 = $false) | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(superposition,[],[f1647,f502])).
3.74/0.86	tff(f1653,plain,(
3.74/0.86	  (sK6 @ sK0 = $true) | (sK6 @ c1 = $false) | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f1650])).
3.74/0.86	tff(f1655,plain,(
3.74/0.86	  ($false = $true) | (sK6 @ c1 = $false) | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(forward_demodulation,[],[f1653,f99])).
3.74/0.86	tff(f1656,plain,(
3.74/0.86	  (sK6 @ c1 = $false) | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f1655])).
3.74/0.86	tff(f1657,plain,(
3.74/0.86	  ($false = $true) | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(backward_demodulation,[],[f1656,f75])).
3.74/0.86	tff(f1658,plain,(
3.74/0.86	  $false | (~spl2_2 | ~spl2_8 | ~spl2_10)),
3.74/0.86	  inference(trivial_inequality_removal,[],[f1657])).
3.74/0.86	tff(f1659,plain,(
3.74/0.86	  ~spl2_2 | ~spl2_8 | ~spl2_10),
3.74/0.86	  inference(avatar_contradiction_clause,[],[f1658])).
3.74/0.86	tff(f1660,plain,(
3.74/0.86	  $false),
3.74/0.86	  inference(avatar_sat_refutation,[],[f76,f80,f87,f91,f92,f93,f100,f101,f102,f719,f1659])).
3.74/0.86	% SZS output end Proof for theBenchmark
3.74/0.86	% (29416)------------------------------
3.74/0.86	% (29416)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.74/0.86	% (29416)Termination reason: Refutation
3.74/0.86	
3.74/0.86	% (29416)Memory used [KB]: 12409
3.74/0.86	% (29416)Time elapsed: 0.487 s
3.74/0.86	% (29416)------------------------------
3.74/0.86	% (29416)------------------------------
3.74/0.86	% (29394)Time limit reached!
3.74/0.86	% (29394)------------------------------
3.74/0.86	% (29394)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
3.74/0.86	% (29394)Termination reason: Time limit
3.74/0.86	% (29394)Termination phase: Saturation
3.74/0.86	
3.74/0.86	% (29394)Memory used [KB]: 11513
3.74/0.86	% (29394)Time elapsed: 0.500 s
3.74/0.86	% (29394)------------------------------
3.74/0.86	% (29394)------------------------------
3.74/0.86	% (29392)Success in time 0.527 s
3.74/0.87	EOF