0.00/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.09/0.10	% Command    : run_vampire %s %d
0.10/0.30	% Computer   : n012.cluster.edu
0.10/0.30	% Model      : x86_64 x86_64
0.10/0.30	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.30	% Memory     : 8042.1875MB
0.10/0.30	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.30	% CPULimit   : 960
0.10/0.30	% WCLimit    : 120
0.10/0.30	% DateTime   : Thu Jul  2 07:21:21 EDT 2020
0.10/0.31	% CPUTime    : 
0.15/0.33	% (9774)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
0.15/0.33	% (9776)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
0.15/0.33	% (9777)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
0.15/0.33	% (9775)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
0.15/0.34	% (9771)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
0.15/0.35	% (9788)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
0.15/0.35	% (9766)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
0.15/0.35	% (9769)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
0.15/0.35	% (9767)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
0.15/0.35	% (9768)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
0.15/0.35	% (9765)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
0.15/0.35	% (9780)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
0.15/0.35	% (9794)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
0.15/0.35	% (9787)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
0.15/0.35	% (9770)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
0.15/0.35	% (9773)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
0.15/0.36	% (9775)Refutation not found, incomplete strategy
0.15/0.36	% (9775)------------------------------
0.15/0.36	% (9775)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.15/0.36	% (9775)Termination reason: Refutation not found, incomplete strategy
0.15/0.36	
0.15/0.36	% (9775)Memory used [KB]: 9722
0.15/0.36	% (9775)Time elapsed: 0.029 s
0.15/0.36	% (9775)------------------------------
0.15/0.36	% (9775)------------------------------
0.15/0.36	% (9772)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
0.15/0.37	% (9793)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
0.15/0.37	% (9790)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
0.15/0.37	% (9792)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
0.15/0.37	% (9779)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
0.15/0.37	% (9788)Refutation found. Thanks to Tanya!
0.15/0.37	% SZS status Theorem for theBenchmark
0.15/0.37	% SZS output start Proof for theBenchmark
0.15/0.37	tff(func_def_0, type, a: '$tType').
0.15/0.37	tff(func_def_4, type, ->: ('$tType' * '$tType') > '$tType').
0.15/0.37	tff(func_def_5, type, cZ: a -> '$o').
0.15/0.37	tff(func_def_6, type, cW: (a -> '$o') -> '$o').
0.15/0.37	tff(func_def_7, type, vAPP: !>[X0: $ttype, X1: $ttype]:(X0 -> X1 * X0) > X1).
0.15/0.37	tff(func_def_8, type, vEPSILON: !>[X0: $ttype]:(X0 -> '$o') -> X0).
0.15/0.37	tff(func_def_11, type, vAND: '$o' -> '$o' -> '$o').
0.15/0.37	tff(func_def_12, type, bCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.15/0.37	tff(func_def_13, type, sCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> (X0 -> X1) -> X0 -> X2).
0.15/0.37	tff(func_def_14, type, sK0: a).
0.15/0.37	tff(func_def_15, type, sK1: a -> '$o').
0.15/0.37	tff(func_def_16, type, sK2: a -> '$o').
0.15/0.37	tff(func_def_17, type, sK3: a -> '$o').
0.15/0.37	tff(func_def_19, type, kCOMB: !>[X1: $ttype, X2: $ttype]:X1 -> X2 -> X1).
0.15/0.37	tff(func_def_20, type, vOR: '$o' -> '$o' -> '$o').
0.15/0.37	tff(func_def_21, type, vIMP: '$o' -> '$o' -> '$o').
0.15/0.37	tff(func_def_22, type, vNOT: '$o' -> '$o').
0.15/0.37	tff(func_def_23, type, vEQ: !>[X0: $ttype]:X0 -> X0 -> '$o').
0.15/0.37	tff(func_def_24, type, cCOMB: !>[X0: $ttype, X1: $ttype, X2: $ttype]:(X0 -> X1 -> X2) -> X1 -> X0 -> X2).
0.15/0.37	tff(func_def_25, type, iCOMB: !>[X2: $ttype]:X2 -> X2).
0.15/0.37	% (9789)lrs+1011_5_add=large:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=1000:afq=1.2:anc=none:fsr=off:irw=on:lma=on:nm=64:newcnf=on:nwc=1:stl=30:sd=3:ss=axioms:st=2.0:sos=on:sac=on:sp=reverse_arity:urr=on:updr=off_130 on theBenchmark
0.15/0.37	% (9786)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:foolp=on:cnfonf=lazy_gen:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_30 on theBenchmark
0.15/0.37	tff(f1,conjecture,(
0.15/0.37	  ! [X0 : a] : ((? [X1 : a -> '$o'] : (cW @ X1 & X1 @ X0) & cZ @ X0) <=> ? [X1 : a -> '$o'] : (X1 @ X0 & ? [X2 : a -> '$o'] : (cW @ X2 & X1 = (^[X3 : a] : cZ @ X3 & X2 @ X3))))),
0.15/0.37	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM61_pme)).
0.15/0.37	tff(f2,negated_conjecture,(
0.15/0.37	  ~! [X0 : a] : ((? [X1 : a -> '$o'] : (cW @ X1 & X1 @ X0) & cZ @ X0) <=> ? [X1 : a -> '$o'] : (X1 @ X0 & ? [X2 : a -> '$o'] : (cW @ X2 & X1 = (^[X3 : a] : cZ @ X3 & X2 @ X3))))),
0.15/0.37	  inference(negated_conjecture,[],[f1])).
0.15/0.37	tff(f3,plain,(
0.15/0.37	  ~! [X0 : a] : ((? [X1 : a -> '$o'] : (cW @ X1 & X1 @ X0) & cZ @ X0) <=> ? [X2 : a -> '$o'] : (X2 @ X0 & ? [X3 : a -> '$o'] : (cW @ X3 & X2 = (^[X4 : a] : cZ @ X4 & X3 @ X4))))),
0.15/0.37	  inference(rectify,[],[f2])).
0.15/0.37	tff(f4,plain,(
0.15/0.37	  ~! [X0 : a] : ((? [X1 : a -> '$o'] : ((cW @ X1 = $true) & (X1 @ X0 = $true)) & (cZ @ X0 = $true)) <=> ? [X2 : a -> '$o'] : ((X2 @ X0 = $true) & ? [X3 : a -> '$o'] : ((cW @ X3 = $true) & sCOMB @ (bCOMB @ vAND @ X3) @ cZ = X2)))),
0.15/0.37	  inference(fool_elimination,[],[f3])).
0.15/0.37	tff(f5,plain,(
0.15/0.37	  ? [X0 : a] : ((? [X1 : a -> '$o'] : ((cW @ X1 = $true) & (X1 @ X0 = $true)) & (cZ @ X0 = $true)) <~> ? [X2 : a -> '$o'] : ((X2 @ X0 = $true) & ? [X3 : a -> '$o'] : ((cW @ X3 = $true) & sCOMB @ (bCOMB @ vAND @ X3) @ cZ = X2)))),
0.15/0.37	  inference(ennf_transformation,[],[f4])).
0.15/0.37	tff(f6,plain,(
0.15/0.37	  ? [X0 : a] : ((! [X2 : a -> '$o'] : ((X2 @ X0 != $true) | ! [X3 : a -> '$o'] : ((cW @ X3 != $true) | sCOMB @ (bCOMB @ vAND @ X3) @ cZ != X2)) | (! [X1 : a -> '$o'] : ((cW @ X1 != $true) | (X1 @ X0 != $true)) | (cZ @ X0 != $true))) & (? [X2 : a -> '$o'] : ((X2 @ X0 = $true) & ? [X3 : a -> '$o'] : ((cW @ X3 = $true) & sCOMB @ (bCOMB @ vAND @ X3) @ cZ = X2)) | (? [X1 : a -> '$o'] : ((cW @ X1 = $true) & (X1 @ X0 = $true)) & (cZ @ X0 = $true))))),
0.15/0.37	  inference(nnf_transformation,[],[f5])).
0.15/0.37	tff(f7,plain,(
0.15/0.37	  ? [X0 : a] : ((! [X2 : a -> '$o'] : ((X2 @ X0 != $true) | ! [X3 : a -> '$o'] : ((cW @ X3 != $true) | sCOMB @ (bCOMB @ vAND @ X3) @ cZ != X2)) | ! [X1 : a -> '$o'] : ((cW @ X1 != $true) | (X1 @ X0 != $true)) | (cZ @ X0 != $true)) & (? [X2 : a -> '$o'] : ((X2 @ X0 = $true) & ? [X3 : a -> '$o'] : ((cW @ X3 = $true) & sCOMB @ (bCOMB @ vAND @ X3) @ cZ = X2)) | (? [X1 : a -> '$o'] : ((cW @ X1 = $true) & (X1 @ X0 = $true)) & (cZ @ X0 = $true))))),
0.15/0.37	  inference(flattening,[],[f6])).
0.15/0.37	tff(f8,plain,(
0.15/0.37	  ? [X0 : a] : ((! [X1 : a -> '$o'] : ((X1 @ X0 != $true) | ! [X2 : a -> '$o'] : ((cW @ X2 != $true) | sCOMB @ (bCOMB @ vAND @ X2) @ cZ != X1)) | ! [X3 : a -> '$o'] : ((cW @ X3 != $true) | (X3 @ X0 != $true)) | (cZ @ X0 != $true)) & (? [X4 : a -> '$o'] : ((X4 @ X0 = $true) & ? [X5 : a -> '$o'] : ((cW @ X5 = $true) & sCOMB @ (bCOMB @ vAND @ X5) @ cZ = X4)) | (? [X6 : a -> '$o'] : ((cW @ X6 = $true) & (X6 @ X0 = $true)) & (cZ @ X0 = $true))))),
0.15/0.37	  inference(rectify,[],[f7])).
0.15/0.37	tff(f9,plain,(
0.15/0.37	  ? [X0 : a] : ((! [X1 : a -> '$o'] : ((X1 @ X0 != $true) | ! [X2 : a -> '$o'] : ((cW @ X2 != $true) | sCOMB @ (bCOMB @ vAND @ X2) @ cZ != X1)) | ! [X3 : a -> '$o'] : ((cW @ X3 != $true) | (X3 @ X0 != $true)) | (cZ @ X0 != $true)) & (? [X4 : a -> '$o'] : ((X4 @ X0 = $true) & ? [X5 : a -> '$o'] : ((cW @ X5 = $true) & sCOMB @ (bCOMB @ vAND @ X5) @ cZ = X4)) | (? [X6 : a -> '$o'] : ((cW @ X6 = $true) & (X6 @ X0 = $true)) & (cZ @ X0 = $true)))) => ((! [X1 : a -> '$o'] : ((X1 @ sK0 != $true) | ! [X2 : a -> '$o'] : ((cW @ X2 != $true) | sCOMB @ (bCOMB @ vAND @ X2) @ cZ != X1)) | ! [X3 : a -> '$o'] : ((cW @ X3 != $true) | (X3 @ sK0 != $true)) | (cZ @ sK0 != $true)) & (? [X4 : a -> '$o'] : ((X4 @ sK0 = $true) & ? [X5 : a -> '$o'] : ((cW @ X5 = $true) & sCOMB @ (bCOMB @ vAND @ X5) @ cZ = X4)) | (? [X6 : a -> '$o'] : ((cW @ X6 = $true) & (X6 @ sK0 = $true)) & (cZ @ sK0 = $true))))),
0.15/0.37	  introduced(choice_axiom,[])).
0.15/0.37	tff(f10,plain,(
0.15/0.37	  ? [X4 : a -> '$o'] : ((X4 @ sK0 = $true) & ? [X5 : a -> '$o'] : ((cW @ X5 = $true) & sCOMB @ (bCOMB @ vAND @ X5) @ cZ = X4)) => ((sK1 @ sK0 = $true) & ? [X5 : a -> '$o'] : ((cW @ X5 = $true) & sCOMB @ (bCOMB @ vAND @ X5) @ cZ = sK1))),
0.15/0.37	  introduced(choice_axiom,[])).
0.15/0.37	tff(f11,plain,(
0.15/0.37	  ? [X5 : a -> '$o'] : ((cW @ X5 = $true) & sCOMB @ (bCOMB @ vAND @ X5) @ cZ = sK1) => ((cW @ sK2 = $true) & sCOMB @ (bCOMB @ vAND @ sK2) @ cZ = sK1)),
0.15/0.37	  introduced(choice_axiom,[])).
0.15/0.37	tff(f12,plain,(
0.15/0.37	  ? [X6 : a -> '$o'] : ((cW @ X6 = $true) & (X6 @ sK0 = $true)) => ((cW @ sK3 = $true) & (sK3 @ sK0 = $true))),
0.15/0.37	  introduced(choice_axiom,[])).
0.15/0.37	% (9783)ott+11_20_afr=on:afp=100000:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afq=1.0:amm=sco:anc=all:bsr=on:irw=on:lma=on:nm=4:nwc=1.2:sac=on:sp=occurrence_6 on theBenchmark
0.15/0.37	tff(f13,plain,(
0.15/0.37	  (! [X1 : a -> '$o'] : ((X1 @ sK0 != $true) | ! [X2 : a -> '$o'] : ((cW @ X2 != $true) | sCOMB @ (bCOMB @ vAND @ X2) @ cZ != X1)) | ! [X3 : a -> '$o'] : ((cW @ X3 != $true) | (X3 @ sK0 != $true)) | (cZ @ sK0 != $true)) & (((sK1 @ sK0 = $true) & ((cW @ sK2 = $true) & sCOMB @ (bCOMB @ vAND @ sK2) @ cZ = sK1)) | (((cW @ sK3 = $true) & (sK3 @ sK0 = $true)) & (cZ @ sK0 = $true)))),
0.15/0.37	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f8,f12,f11,f10,f9])).
0.15/0.37	tff(f14,plain,(
0.15/0.37	  sCOMB @ (bCOMB @ vAND @ sK2) @ cZ = sK1 | (cZ @ sK0 = $true)),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	tff(f15,plain,(
0.15/0.37	  sCOMB @ (bCOMB @ vAND @ sK2) @ cZ = sK1 | (sK3 @ sK0 = $true)),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	tff(f16,plain,(
0.15/0.37	  sCOMB @ (bCOMB @ vAND @ sK2) @ cZ = sK1 | (cW @ sK3 = $true)),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	tff(f18,plain,(
0.15/0.37	  (cW @ sK2 = $true) | (sK3 @ sK0 = $true)),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	tff(f19,plain,(
0.15/0.37	  (cW @ sK2 = $true) | (cW @ sK3 = $true)),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	tff(f20,plain,(
0.15/0.37	  (sK1 @ sK0 = $true) | (cZ @ sK0 = $true)),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	% (9782)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
0.15/0.37	tff(f21,plain,(
0.15/0.37	  (sK1 @ sK0 = $true) | (sK3 @ sK0 = $true)),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	tff(f22,plain,(
0.15/0.37	  (sK1 @ sK0 = $true) | (cW @ sK3 = $true)),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	tff(f23,plain,(
0.15/0.37	  ( ! [X2:a -> '$o',X3:a -> '$o',X1:a -> '$o'] : ((X1 @ sK0 != $true) | (cW @ X2 != $true) | sCOMB @ (bCOMB @ vAND @ X2) @ cZ != X1 | (cW @ X3 != $true) | (X3 @ sK0 != $true) | (cZ @ sK0 != $true)) )),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	tff(f24,plain,(
0.15/0.37	  ( ! [X2:a -> '$o',X3:a -> '$o'] : ((sCOMB @ (bCOMB @ vAND @ X2) @ cZ @ sK0 != $true) | (cW @ X2 != $true) | (cW @ X3 != $true) | (X3 @ sK0 != $true) | (cZ @ sK0 != $true)) )),
0.15/0.37	  inference(equality_resolution,[],[f23])).
0.15/0.37	tff(f25,plain,(
0.15/0.37	  ( ! [X2:a -> '$o',X3:a -> '$o'] : ((vAND @ (X2 @ sK0) @ (cZ @ sK0) != $true) | (cW @ X2 != $true) | (cW @ X3 != $true) | (X3 @ sK0 != $true) | (cZ @ sK0 != $true)) )),
0.15/0.37	  inference(combinator_demodulation,[],[f24])).
0.15/0.37	tff(f26,plain,(
0.15/0.37	  ( ! [X2:a -> '$o',X3:a -> '$o'] : ((X2 @ sK0 = $false) | (cW @ X2 != $true) | (cW @ X3 != $true) | (X3 @ sK0 != $true) | (cZ @ sK0 != $true) | (cZ @ sK0 = $false)) )),
0.15/0.37	  inference(binary_proxy_clausification,[],[f25])).
0.15/0.37	tff(f31,plain,(
0.15/0.37	  spl4_0 <=> (cZ @ sK0 = $false)),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_0])])).
0.15/0.37	tff(f32,plain,(
0.15/0.37	  (cZ @ sK0 = $false) | ~spl4_0),
0.15/0.37	  inference(avatar_component_clause,[],[f31])).
0.15/0.37	% (9785)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
0.15/0.37	tff(f34,plain,(
0.15/0.37	  spl4_2 <=> (cZ @ sK0 = $true)),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
0.15/0.37	tff(f35,plain,(
0.15/0.37	  (cZ @ sK0 = $true) | ~spl4_2),
0.15/0.37	  inference(avatar_component_clause,[],[f34])).
0.15/0.37	tff(f37,plain,(
0.15/0.37	  spl4_3 <=> (cZ @ sK0 != $true)),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
0.15/0.37	tff(f38,plain,(
0.15/0.37	  (cZ @ sK0 != $true) | ~spl4_3),
0.15/0.37	  inference(avatar_component_clause,[],[f37])).
0.15/0.37	tff(f40,plain,(
0.15/0.37	  spl4_4 <=> ! [X3 : a -> '$o'] : ((cW @ X3 != $true) | (X3 @ sK0 != $true))),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_4])])).
0.15/0.37	tff(f41,plain,(
0.15/0.37	  ( ! [X3:a -> '$o'] : ((cW @ X3 != $true) | (X3 @ sK0 != $true)) ) | ~spl4_4),
0.15/0.37	  inference(avatar_component_clause,[],[f40])).
0.15/0.37	tff(f43,plain,(
0.15/0.37	  spl4_6 <=> ! [X2 : a -> '$o'] : ((X2 @ sK0 = $false) | (cW @ X2 != $true))),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_6])])).
0.15/0.37	tff(f44,plain,(
0.15/0.37	  ( ! [X2:a -> '$o'] : ((cW @ X2 != $true) | (X2 @ sK0 = $false)) ) | ~spl4_6),
0.15/0.37	  inference(avatar_component_clause,[],[f43])).
0.15/0.37	tff(f45,plain,(
0.15/0.37	  spl4_0 | ~spl4_3 | spl4_4 | spl4_6),
0.15/0.37	  inference(avatar_split_clause,[],[f26,f43,f40,f37,f31])).
0.15/0.37	tff(f50,plain,(
0.15/0.37	  spl4_8 <=> (cW @ sK3 = $true)),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_8])])).
0.15/0.37	tff(f51,plain,(
0.15/0.37	  (cW @ sK3 = $true) | ~spl4_8),
0.15/0.37	  inference(avatar_component_clause,[],[f50])).
0.15/0.37	tff(f56,plain,(
0.15/0.37	  spl4_10 <=> (sK1 @ sK0 = $true)),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_10])])).
0.15/0.37	tff(f57,plain,(
0.15/0.37	  (sK1 @ sK0 = $true) | ~spl4_10),
0.15/0.37	  inference(avatar_component_clause,[],[f56])).
0.15/0.37	tff(f58,plain,(
0.15/0.37	  spl4_8 | spl4_10),
0.15/0.37	  inference(avatar_split_clause,[],[f22,f56,f50])).
0.15/0.37	tff(f63,plain,(
0.15/0.37	  spl4_12 <=> (sK3 @ sK0 = $true)),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_12])])).
0.15/0.37	tff(f64,plain,(
0.15/0.37	  (sK3 @ sK0 = $true) | ~spl4_12),
0.15/0.37	  inference(avatar_component_clause,[],[f63])).
0.15/0.37	tff(f65,plain,(
0.15/0.37	  spl4_12 | spl4_10),
0.15/0.37	  inference(avatar_split_clause,[],[f21,f56,f63])).
0.15/0.37	tff(f66,plain,(
0.15/0.37	  spl4_2 | spl4_10),
0.15/0.37	  inference(avatar_split_clause,[],[f20,f56,f34])).
0.15/0.37	tff(f71,plain,(
0.15/0.37	  spl4_14 <=> (cW @ sK2 = $true)),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_14])])).
0.15/0.37	tff(f72,plain,(
0.15/0.37	  (cW @ sK2 = $true) | ~spl4_14),
0.15/0.37	  inference(avatar_component_clause,[],[f71])).
0.15/0.37	tff(f73,plain,(
0.15/0.37	  spl4_8 | spl4_14),
0.15/0.37	  inference(avatar_split_clause,[],[f19,f71,f50])).
0.15/0.37	tff(f74,plain,(
0.15/0.37	  spl4_12 | spl4_14),
0.15/0.37	  inference(avatar_split_clause,[],[f18,f71,f63])).
0.15/0.37	tff(f80,plain,(
0.15/0.37	  spl4_16 <=> sCOMB @ (bCOMB @ vAND @ sK2) @ cZ = sK1),
0.15/0.37	  introduced(avatar_definition,[new_symbols(naming,[spl4_16])])).
0.15/0.37	tff(f81,plain,(
0.15/0.37	  sCOMB @ (bCOMB @ vAND @ sK2) @ cZ = sK1 | ~spl4_16),
0.15/0.37	  inference(avatar_component_clause,[],[f80])).
0.15/0.37	tff(f82,plain,(
0.15/0.37	  spl4_8 | spl4_16),
0.15/0.37	  inference(avatar_split_clause,[],[f16,f80,f50])).
0.15/0.37	tff(f83,plain,(
0.15/0.37	  spl4_12 | spl4_16),
0.15/0.37	  inference(avatar_split_clause,[],[f15,f80,f63])).
0.15/0.37	tff(f84,plain,(
0.15/0.37	  spl4_2 | spl4_16),
0.15/0.37	  inference(avatar_split_clause,[],[f14,f80,f34])).
0.15/0.37	tff(f89,plain,(
0.15/0.37	  ($true != $true) | (sK3 @ sK0 != $true) | (~spl4_4 | ~spl4_8)),
0.15/0.37	  inference(superposition,[],[f41,f51])).
0.15/0.37	tff(f90,plain,(
0.15/0.37	  (sK3 @ sK0 != $true) | (~spl4_4 | ~spl4_8)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f89])).
0.15/0.37	tff(f93,plain,(
0.15/0.37	  ($true != $true) | (~spl4_4 | ~spl4_8 | ~spl4_12)),
0.15/0.37	  inference(superposition,[],[f90,f64])).
0.15/0.37	tff(f94,plain,(
0.15/0.37	  $false | (~spl4_4 | ~spl4_8 | ~spl4_12)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f93])).
0.15/0.37	tff(f95,plain,(
0.15/0.37	  ~spl4_4 | ~spl4_8 | ~spl4_12),
0.15/0.37	  inference(avatar_contradiction_clause,[],[f94])).
0.15/0.37	% (9784)dis+1002_3:1_acc=model:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afr=on:afp=40000:afq=1.1:anc=none:ccuc=first:fsr=off:gsp=input_only:irw=on:nm=16:nwc=1:sos=all_8 on theBenchmark
0.15/0.37	tff(f99,plain,(
0.15/0.37	  ($true != $true) | (sK2 @ sK0 != $true) | (~spl4_4 | ~spl4_14)),
0.15/0.37	  inference(superposition,[],[f41,f72])).
0.15/0.37	tff(f100,plain,(
0.15/0.37	  (sK2 @ sK0 != $true) | (~spl4_4 | ~spl4_14)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f99])).
0.15/0.37	tff(f101,plain,(
0.15/0.37	  ( ! [X1:a] : ((sK1 @ X1 = sCOMB @ (bCOMB @ vAND @ sK2) @ cZ @ X1)) ) | ~spl4_16),
0.15/0.37	  inference(argument_congruence,[],[f81])).
0.15/0.37	tff(f102,plain,(
0.15/0.37	  ( ! [X1:a] : ((sK1 @ X1 = vAND @ (sK2 @ X1) @ (cZ @ X1))) ) | ~spl4_16),
0.15/0.37	  inference(combinator_demodulation,[],[f101])).
0.15/0.37	tff(f104,plain,(
0.15/0.37	  ( ! [X1:a] : ((sK1 @ X1 = $false) | (vAND @ (sK2 @ X1) @ (cZ @ X1) = $true)) ) | ~spl4_16),
0.15/0.37	  inference(binary_proxy_clausification,[],[f102])).
0.15/0.37	tff(f105,plain,(
0.15/0.37	  ( ! [X1:a] : ((sK2 @ X1 = $true) | (sK1 @ X1 = $false)) ) | ~spl4_16),
0.15/0.37	  inference(binary_proxy_clausification,[],[f104])).
0.15/0.37	tff(f106,plain,(
0.15/0.37	  ( ! [X1:a] : ((sK1 @ X1 = $false) | (cZ @ X1 = $true)) ) | ~spl4_16),
0.15/0.37	  inference(binary_proxy_clausification,[],[f104])).
0.15/0.37	tff(f108,plain,(
0.15/0.37	  ($true != $true) | (sK2 @ sK0 = $false) | (~spl4_4 | ~spl4_14)),
0.15/0.37	  inference(fool_paramodulation,[],[f100])).
0.15/0.37	tff(f109,plain,(
0.15/0.37	  (sK2 @ sK0 = $false) | (~spl4_4 | ~spl4_14)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f108])).
0.15/0.37	tff(f120,plain,(
0.15/0.37	  ($false = $true) | (sK1 @ sK0 = $false) | (~spl4_4 | ~spl4_14 | ~spl4_16)),
0.15/0.37	  inference(superposition,[],[f105,f109])).
0.15/0.37	tff(f123,plain,(
0.15/0.37	  (sK1 @ sK0 = $false) | (~spl4_4 | ~spl4_14 | ~spl4_16)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f120])).
0.15/0.37	tff(f124,plain,(
0.15/0.37	  ($false = $true) | (~spl4_4 | ~spl4_10 | ~spl4_14 | ~spl4_16)),
0.15/0.37	  inference(backward_demodulation,[],[f123,f57])).
0.15/0.37	tff(f125,plain,(
0.15/0.37	  $false | (~spl4_4 | ~spl4_10 | ~spl4_14 | ~spl4_16)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f124])).
0.15/0.37	tff(f126,plain,(
0.15/0.37	  ~spl4_4 | ~spl4_10 | ~spl4_14 | ~spl4_16),
0.15/0.37	  inference(avatar_contradiction_clause,[],[f125])).
0.15/0.37	tff(f128,plain,(
0.15/0.37	  ($false = $true) | (cZ @ sK0 = $true) | (~spl4_10 | ~spl4_16)),
0.15/0.37	  inference(superposition,[],[f106,f57])).
0.15/0.37	tff(f131,plain,(
0.15/0.37	  (cZ @ sK0 = $true) | (~spl4_10 | ~spl4_16)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f128])).
0.15/0.37	tff(f133,plain,(
0.15/0.37	  ($true != $true) | (sK2 @ sK0 = $false) | (~spl4_6 | ~spl4_14)),
0.15/0.37	  inference(superposition,[],[f44,f72])).
0.15/0.37	tff(f134,plain,(
0.15/0.37	  (sK2 @ sK0 = $false) | (~spl4_6 | ~spl4_14)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f133])).
0.15/0.37	tff(f136,plain,(
0.15/0.37	  ($false = $true) | (sK1 @ sK0 = $false) | (~spl4_6 | ~spl4_14 | ~spl4_16)),
0.15/0.37	  inference(superposition,[],[f134,f105])).
0.15/0.37	tff(f139,plain,(
0.15/0.37	  (sK1 @ sK0 = $false) | (~spl4_6 | ~spl4_14 | ~spl4_16)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f136])).
0.15/0.37	tff(f140,plain,(
0.15/0.37	  ($false = $true) | (~spl4_6 | ~spl4_10 | ~spl4_14 | ~spl4_16)),
0.15/0.37	  inference(backward_demodulation,[],[f139,f57])).
0.15/0.37	tff(f141,plain,(
0.15/0.37	  $false | (~spl4_6 | ~spl4_10 | ~spl4_14 | ~spl4_16)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f140])).
0.15/0.37	tff(f142,plain,(
0.15/0.37	  ~spl4_6 | ~spl4_10 | ~spl4_14 | ~spl4_16),
0.15/0.37	  inference(avatar_contradiction_clause,[],[f141])).
0.15/0.37	tff(f143,plain,(
0.15/0.37	  ($false = $true) | (~spl4_0 | ~spl4_2)),
0.15/0.37	  inference(backward_demodulation,[],[f32,f35])).
0.15/0.37	tff(f144,plain,(
0.15/0.37	  $false | (~spl4_0 | ~spl4_2)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f143])).
0.15/0.37	tff(f145,plain,(
0.15/0.37	  ~spl4_0 | ~spl4_2),
0.15/0.37	  inference(avatar_contradiction_clause,[],[f144])).
0.15/0.37	tff(f149,plain,(
0.15/0.37	  ($false = $true) | (~spl4_0 | ~spl4_10 | ~spl4_16)),
0.15/0.37	  inference(forward_demodulation,[],[f131,f32])).
0.15/0.37	tff(f150,plain,(
0.15/0.37	  $false | (~spl4_0 | ~spl4_10 | ~spl4_16)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f149])).
0.15/0.37	tff(f151,plain,(
0.15/0.37	  ~spl4_0 | ~spl4_10 | ~spl4_16),
0.15/0.37	  inference(avatar_contradiction_clause,[],[f150])).
0.15/0.37	tff(f152,plain,(
0.15/0.37	  ($true != $true) | (cZ @ sK0 = $false) | ~spl4_3),
0.15/0.37	  inference(fool_paramodulation,[],[f38])).
0.15/0.37	tff(f153,plain,(
0.15/0.37	  (cZ @ sK0 = $false) | ~spl4_3),
0.15/0.37	  inference(trivial_inequality_removal,[],[f152])).
0.15/0.37	% (9778)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off_9 on theBenchmark
0.15/0.37	% (9781)lrs+1010_3:2_afr=on:csup=on:inj=on:chr=on:foolp=on:cnfonf=eager:afp=100000:afq=1.1:anc=none:gsp=input_only:irw=on:lwlo=on:nm=2:newcnf=on:nwc=1.7:sac=on:sp=occurrence_300 on theBenchmark
0.15/0.37	tff(f155,plain,(
0.15/0.37	  ($false = $true) | (~spl4_3 | ~spl4_10 | ~spl4_16)),
0.15/0.37	  inference(backward_demodulation,[],[f153,f131])).
0.15/0.37	tff(f156,plain,(
0.15/0.37	  $false | (~spl4_3 | ~spl4_10 | ~spl4_16)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f155])).
0.15/0.37	tff(f157,plain,(
0.15/0.37	  spl4_3 | ~spl4_10 | ~spl4_16),
0.15/0.37	  inference(avatar_contradiction_clause,[],[f156])).
0.15/0.37	tff(f169,plain,(
0.15/0.37	  ($true != $true) | (sK3 @ sK0 = $false) | (~spl4_6 | ~spl4_8)),
0.15/0.37	  inference(superposition,[],[f44,f51])).
0.15/0.37	tff(f170,plain,(
0.15/0.37	  (sK3 @ sK0 = $false) | (~spl4_6 | ~spl4_8)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f169])).
0.15/0.37	tff(f173,plain,(
0.15/0.37	  ($false = $true) | (~spl4_6 | ~spl4_8 | ~spl4_12)),
0.15/0.37	  inference(backward_demodulation,[],[f170,f64])).
0.15/0.37	tff(f174,plain,(
0.15/0.37	  $false | (~spl4_6 | ~spl4_8 | ~spl4_12)),
0.15/0.37	  inference(trivial_inequality_removal,[],[f173])).
0.15/0.37	tff(f175,plain,(
0.15/0.37	  ~spl4_6 | ~spl4_8 | ~spl4_12),
0.15/0.37	  inference(avatar_contradiction_clause,[],[f174])).
0.15/0.37	tff(f176,plain,(
0.15/0.37	  $false),
0.15/0.37	  inference(avatar_sat_refutation,[],[f45,f58,f65,f66,f73,f74,f82,f83,f84,f95,f126,f142,f145,f151,f157,f175])).
0.15/0.37	% SZS output end Proof for theBenchmark
0.15/0.37	% (9788)------------------------------
0.15/0.37	% (9788)Version: Vampire 4.5.0 (commit 7ae30c7f on 2020-06-30 15:57:20 +0100)
0.15/0.37	% (9788)Termination reason: Refutation
0.15/0.37	
0.15/0.37	% (9788)Memory used [KB]: 9850
0.15/0.37	% (9788)Time elapsed: 0.023 s
0.15/0.37	% (9788)------------------------------
0.15/0.37	% (9788)------------------------------
0.15/0.38	% (9764)Success in time 0.062 s
0.15/0.38	EOF