0.03/0.10	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.11	% Command    : run_vampire %s %d
0.10/0.31	% Computer   : n005.cluster.edu
0.10/0.31	% Model      : x86_64 x86_64
0.10/0.31	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory     : 8042.1875MB
0.10/0.31	% OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 1200
0.10/0.31	% WCLimit    : 120
0.10/0.31	% DateTime   : Tue Jul 13 15:58:18 EDT 2021
0.10/0.31	% CPUTime    : 
0.10/0.31	This is a THF_ problem
0.10/0.31	Running vampire --ignore_missing on --mode casc_hol --cores 0 -t 120 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.10/0.31	Running in auto input_syntax mode. Trying TPTP
0.15/0.35	% (21119)dis+10_128_acc=on:add=off:csup=on:inj=on:chr=on:cases=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:thsq=on_2 on theBenchmark
0.15/0.36	% (21139)dis+10_4_av=off:bsr=on:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:cond=fast:er=filter:fde=none:gsp=input_only:lcm=reverse:lma=on:nwc=4:sp=occurrence:urr=on:thsq=on_8 on theBenchmark
0.15/0.36	% (21116)ott+1002_2_av=off:bd=preordered:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:irw=on:lma=on:nm=64:nwc=10:sp=reverse_arity:updr=off:thsq=on_2 on theBenchmark
0.15/0.36	% (21117)lrs-11_4:1_afp=4000:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on:thsq=on_2 on theBenchmark
0.15/0.36	% (21121)ott+1002_8:1_add=off:csup=on:inj=on:chr=on:cases=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:thsq=on_14 on theBenchmark
0.15/0.36	% (21130)lrs+1010_3_av=off:fsr=off:csup=on:inj=on:chr=on:cases=on:cnfonf=eager:gs=on:gsem=off:nm=2:newcnf=on:nwc=2:stl=30:sp=reverse_arity:urr=on:updr=off:thsq=on_9 on theBenchmark
0.15/0.36	% (21130)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.36	% (21140)lrs+1002_1_add=large:csup=on:inj=on:fe=off:chr=on:cases=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:thsq=on_50 on theBenchmark
0.15/0.36	% (21140)WARNING: Not using newCnf currently not compatible with polymorphic/higher-order inputs.
0.15/0.36	% (21116)First to succeed.
0.15/0.36	% (21117)Also succeeded, but the first one will report.
0.15/0.37	% (21116)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	thf(type_def_6, type, a: $tType).
0.15/0.37	thf(type_def_7, type, b: $tType).
0.15/0.37	thf(type_def_8, type, >: ($tType * $tType) > $tType).
0.15/0.37	thf(func_def_10, type, vEPSILON: !>[X0: $tType]:((X0 > $o) > X0)).
0.15/0.37	thf(func_def_13, type, sK0: (b > a) > b).
0.15/0.37	thf(func_def_14, type, sK1: (b > a) > b).
0.15/0.37	thf(func_def_15, type, sK2: a > b).
0.15/0.37	thf(func_def_16, type, sK3: b > a).
0.15/0.37	thf(func_def_17, type, sK4: (a > $o) > a).
0.15/0.37	thf(func_def_18, type, kCOMB: !>[X0: $tType, X1: $tType]:(X0 > X1 > X0)).
0.15/0.37	thf(func_def_19, type, bCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X1 > X2) > (X0 > X1) > X0 > X2)).
0.15/0.37	thf(func_def_20, type, vAND: $o > $o > $o).
0.15/0.37	thf(func_def_21, type, vOR: $o > $o > $o).
0.15/0.37	thf(func_def_22, type, vIMP: $o > $o > $o).
0.15/0.37	thf(func_def_23, type, vNOT: $o > $o).
0.15/0.37	thf(func_def_24, type, vEQ: !>[X0: $tType]:(X0 > X0 > $o)).
0.15/0.37	thf(func_def_25, type, sCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > (X0 > X1) > X0 > X2)).
0.15/0.37	thf(func_def_26, type, cCOMB: !>[X0: $tType, X1: $tType, X2: $tType]:((X0 > X1 > X2) > X1 > X0 > X2)).
0.15/0.37	thf(func_def_27, type, iCOMB: !>[X0: $tType]:(X0 > X0)).
0.15/0.37	thf(f36,plain,(
0.15/0.37	  $false),
0.15/0.37	  inference(subsumption_resolution,[],[f35,f17])).
0.15/0.37	thf(f17,plain,(
0.15/0.37	  ( ! [X0 : b > a] : (((sK0 @ X0) != (sK1 @ X0))) )),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	thf(f13,plain,(
0.15/0.37	  ! [X0 : b > a] : (((sK0 @ X0) != (sK1 @ X0)) & ((X0 @ (sK0 @ X0)) = (X0 @ (sK1 @ X0)))) & ! [X4 : b] : ((sK2 @ (sK3 @ X4)) = X4) & ! [X7 : a > $o] : (($true = (X7 @ (sK4 @ X7))) | ! [X8 : a] : ($true != (X7 @ X8)))),
0.15/0.37	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f8,f12,f11,f10,f9])).
0.15/0.37	thf(f9,plain,(
0.15/0.37	  ! [X0 : b > a] : (? [X1 : b,X2 : b] : ((X1 != X2) & ((X0 @ X1) = (X0 @ X2))) => (((sK0 @ X0) != (sK1 @ X0)) & ((X0 @ (sK0 @ X0)) = (X0 @ (sK1 @ X0)))))),
0.15/0.37	  introduced(choice_axiom,[])).
0.15/0.37	thf(f10,plain,(
0.15/0.37	  ? [X3 : a > b] : ! [X4 : b] : ? [X5 : a] : ((X3 @ X5) = X4) => ! [X4 : b] : ? [X5 : a] : ((sK2 @ X5) = X4)),
0.15/0.37	  introduced(choice_axiom,[])).
0.15/0.37	thf(f11,plain,(
0.15/0.37	  ! [X4 : b] : (? [X5 : a] : ((sK2 @ X5) = X4) => ((sK2 @ (sK3 @ X4)) = X4))),
0.15/0.37	  introduced(choice_axiom,[])).
0.15/0.37	thf(f12,plain,(
0.15/0.37	  ? [X6 : (a > $o) > a] : ! [X7 : a > $o] : (($true = (X7 @ (X6 @ X7))) | ! [X8 : a] : ($true != (X7 @ X8))) => ! [X7 : a > $o] : (($true = (X7 @ (sK4 @ X7))) | ! [X8 : a] : ($true != (X7 @ X8)))),
0.15/0.37	  introduced(choice_axiom,[])).
0.15/0.37	thf(f8,plain,(
0.15/0.37	  ! [X0 : b > a] : ? [X1 : b,X2 : b] : ((X1 != X2) & ((X0 @ X1) = (X0 @ X2))) & ? [X3 : a > b] : ! [X4 : b] : ? [X5 : a] : ((X3 @ X5) = X4) & ? [X6 : (a > $o) > a] : ! [X7 : a > $o] : (($true = (X7 @ (X6 @ X7))) | ! [X8 : a] : ($true != (X7 @ X8)))),
0.15/0.37	  inference(rectify,[],[f7])).
0.15/0.37	thf(f7,plain,(
0.15/0.37	  ! [X6 : b > a] : ? [X7 : b,X8 : b] : ((X7 != X8) & ((X6 @ X7) = (X6 @ X8))) & ? [X3 : a > b] : ! [X4 : b] : ? [X5 : a] : ((X3 @ X5) = X4) & ? [X0 : (a > $o) > a] : ! [X1 : a > $o] : (((X1 @ (X0 @ X1)) = $true) | ! [X2 : a] : ((X1 @ X2) != $true))),
0.15/0.37	  inference(flattening,[],[f6])).
0.15/0.37	thf(f6,plain,(
0.15/0.37	  (! [X6 : b > a] : ? [X7 : b,X8 : b] : ((X7 != X8) & ((X6 @ X7) = (X6 @ X8))) & ? [X3 : a > b] : ! [X4 : b] : ? [X5 : a] : ((X3 @ X5) = X4)) & ? [X0 : (a > $o) > a] : ! [X1 : a > $o] : (((X1 @ (X0 @ X1)) = $true) | ! [X2 : a] : ((X1 @ X2) != $true))),
0.15/0.37	  inference(ennf_transformation,[],[f5])).
0.15/0.37	thf(f5,plain,(
0.15/0.37	  ~(? [X0 : (a > $o) > a] : ! [X1 : a > $o] : (? [X2 : a] : ((X1 @ X2) = $true) => ((X1 @ (X0 @ X1)) = $true)) => (? [X3 : a > b] : ! [X4 : b] : ? [X5 : a] : ((X3 @ X5) = X4) => ? [X6 : b > a] : ! [X7 : b,X8 : b] : (((X6 @ X7) = (X6 @ X8)) => (X7 = X8))))),
0.15/0.37	  inference(fool_elimination,[],[f4])).
0.15/0.37	thf(f4,plain,(
0.15/0.37	  ~(? [X0 : (a > $o) > a] : ! [X1 : a > $o] : (? [X2 : a] : (X1 @ X2) => (X1 @ (X0 @ X1))) => (? [X3 : a > b] : ! [X4 : b] : ? [X5 : a] : ((X3 @ X5) = X4) => ? [X6 : b > a] : ! [X7 : b,X8 : b] : (((X6 @ X7) = (X6 @ X8)) => (X7 = X8))))),
0.15/0.37	  inference(rectify,[],[f2])).
0.15/0.37	thf(f2,negated_conjecture,(
0.15/0.37	  ~(? [X0 : (a > $o) > a] : ! [X1 : a > $o] : (? [X2 : a] : (X1 @ X2) => (X1 @ (X0 @ X1))) => (? [X6 : a > b] : ! [X7 : b] : ? [X1 : a] : ((X6 @ X1) = X7) => ? [X3 : b > a] : ! [X4 : b,X5 : b] : (((X3 @ X4) = (X3 @ X5)) => (X4 = X5))))),
0.15/0.37	  inference(negated_conjecture,[],[f1])).
0.15/0.37	thf(f1,conjecture,(
0.15/0.37	  ? [X0 : (a > $o) > a] : ! [X1 : a > $o] : (? [X2 : a] : (X1 @ X2) => (X1 @ (X0 @ X1))) => (? [X6 : a > b] : ! [X7 : b] : ? [X1 : a] : ((X6 @ X1) = X7) => ? [X3 : b > a] : ! [X4 : b,X5 : b] : (((X3 @ X4) = (X3 @ X5)) => (X4 = X5)))),
0.15/0.37	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cTHM607_pme)).
0.15/0.37	thf(f35,plain,(
0.15/0.37	  ((sK0 @ sK3) = (sK1 @ sK3))),
0.15/0.37	  inference(forward_demodulation,[],[f26,f15])).
0.15/0.37	thf(f15,plain,(
0.15/0.37	  ( ! [X4 : b] : (((sK2 @ (sK3 @ X4)) = X4)) )),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	thf(f26,plain,(
0.15/0.37	  ((sK1 @ sK3) = (sK2 @ (sK3 @ (sK0 @ sK3))))),
0.15/0.37	  inference(superposition,[],[f15,f16])).
0.15/0.37	thf(f16,plain,(
0.15/0.37	  ( ! [X0 : b > a] : (((X0 @ (sK0 @ X0)) = (X0 @ (sK1 @ X0)))) )),
0.15/0.37	  inference(cnf_transformation,[],[f13])).
0.15/0.37	% SZS output end Proof for theBenchmark
0.15/0.37	% (21116)------------------------------
0.15/0.37	% (21116)Version: Vampire 4.6.0 (commit 0afb7ed4a on 2021-06-23 15:27:21 +0100)
0.15/0.37	% (21116)Termination reason: Refutation
0.15/0.37	
0.15/0.37	% (21116)Memory used [KB]: 1279
0.15/0.37	% (21116)Time elapsed: 0.036 s
0.15/0.37	% (21116)------------------------------
0.15/0.37	% (21116)------------------------------
0.15/0.37	% (21115)Success in time 0.047 s
0.15/0.37	EOF