0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : vampire --mode casc -m 90000 -t %d %s
0.02/0.22	% Computer   : n174.star.cs.uiowa.edu
0.02/0.22	% Model      : x86_64 x86_64
0.02/0.22	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.22	% Memory     : 32218.625MB
0.02/0.22	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.22	% CPULimit   : 300
0.02/0.22	% DateTime   : Sat Jul 14 04:46:40 CDT 2018
0.02/0.23	% CPUTime    : 
0.02/0.23	Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
0.02/0.23	% remaining time: 3000 next slice time: 3
0.02/0.26	dis+1002_4_gs=on:inst=on:nm=64:nwc=1.3:sas=z3:sac=on:sfr=on:smm=off:ssnc=none:sp=occurrence:tha=off:thf=on:updr=off_1 on theBenchmark
0.02/0.27	% Refutation found. Thanks to Tanya!
0.02/0.27	% SZS status Theorem for theBenchmark
0.02/0.27	% SZS output start Proof for theBenchmark
0.02/0.27	tff(func_def_5, type, sK0: $real).
0.02/0.27	tff(func_def_6, type, sK1: $real).
0.02/0.27	tff(f1,conjecture,(
0.02/0.27	  ! [X0 : $real,X1 : $real] : ($floor(X0) = $floor(X1) => $less($difference(X0,X1),1.0))),
0.02/0.27	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove)).
0.02/0.27	tff(f2,negated_conjecture,(
0.02/0.27	  ~! [X0 : $real,X1 : $real] : ($floor(X0) = $floor(X1) => $less($difference(X0,X1),1.0))),
0.02/0.27	  inference(negated_conjecture,[],[f1])).
0.02/0.27	tff(f3,plain,(
0.02/0.27	  ~! [X0 : $real,X1 : $real] : ($floor(X0) = $floor(X1) => $less($sum(X0,$uminus(X1)),1.0))),
0.02/0.27	  inference(evaluation,[],[f2])).
0.02/0.27	tff(f4,plain,(
0.02/0.27	  ? [X0 : $real,X1 : $real] : (~$less($sum(X0,$uminus(X1)),1.0) & $floor(X0) = $floor(X1))),
0.02/0.27	  inference(ennf_transformation,[],[f3])).
0.02/0.27	tff(f5,plain,(
0.02/0.27	  ? [X0 : $real,X1 : $real] : (~$less($sum(X0,$uminus(X1)),1.0) & $floor(X0) = $floor(X1)) => (~$less($sum(sK0,$uminus(sK1)),1.0) & $floor(sK0) = $floor(sK1))),
0.02/0.27	  introduced(choice_axiom,[])).
0.02/0.27	tff(f6,plain,(
0.02/0.27	  ~$less($sum(sK0,$uminus(sK1)),1.0) & $floor(sK0) = $floor(sK1)),
0.02/0.27	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f4,f5])).
0.02/0.27	tff(f7,plain,(
0.02/0.27	  $floor(sK0) = $floor(sK1)),
0.02/0.27	  inference(cnf_transformation,[],[f6])).
0.02/0.27	tff(f8,plain,(
0.02/0.27	  ~$less($sum(sK0,$uminus(sK1)),1.0)),
0.02/0.27	  inference(cnf_transformation,[],[f6])).
0.02/0.27	tff(f9,plain,(
0.02/0.27	  ( ! [X2:$real,X1:$real] : (~$less($sum(X1,$uminus(X2)),1.0) | sK1 != X2 | sK0 != X1) )),
0.02/0.27	  inference(theory_flattening,[],[f8])).
0.02/0.27	tff(f10,plain,(
0.02/0.27	  ( ! [X2:$real,X1:$real] : ($floor(X1) = $floor(X2) | sK1 != X2 | sK0 != X1) )),
0.02/0.27	  inference(theory_flattening,[],[f7])).
0.02/0.27	tff(f21,plain,(
0.02/0.27	  $floor(sK0) = $floor(sK1) | sK1 != sK1 | sK0 != sK0),
0.02/0.27	  inference(Instantiation,[],[f10])).
0.02/0.27	tff(f23,plain,(
0.02/0.27	  $floor(sK0) = $floor(sK1)),
0.02/0.27	  inference(trivial_inequality_removal,[],[f21])).
0.02/0.27	tff(f39,plain,(
0.02/0.27	  ~$less($sum(sK0,$uminus(sK1)),1.0) | sK1 != sK1 | sK0 != sK0),
0.02/0.27	  inference(Instantiation,[],[f9])).
0.02/0.27	tff(f42,plain,(
0.02/0.27	  ~$less($sum(sK0,$uminus(sK1)),1.0)),
0.02/0.27	  inference(trivial_inequality_removal,[],[f39])).
0.02/0.27	tff(f59,plain,(
0.02/0.27	  spl2_0 <=> $floor(sK0) = $floor(sK1)),
0.02/0.27	  introduced(AVATAR_definition,[new_symbols(naming,[spl2_0])])).
0.02/0.27	tff(f61,plain,(
0.02/0.27	  spl2_0),
0.02/0.27	  inference(AVATAR_split_clause,[],[f23,f59])).
0.02/0.27	tff(f72,plain,(
0.02/0.27	  spl2_3 <=> ~$less($sum(sK0,$uminus(sK1)),1.0)),
0.02/0.27	  introduced(AVATAR_definition,[new_symbols(naming,[spl2_3])])).
0.02/0.27	tff(f74,plain,(
0.02/0.27	  ~spl2_3),
0.02/0.27	  inference(AVATAR_split_clause,[],[f42,f72])).
0.02/0.27	tff(f75,plain,(
0.02/0.27	  $false),
0.02/0.27	  inference(AVATAR_sat_refutation,[],[f61,f74])).
0.02/0.27	% SZS output end Proof for theBenchmark
0.02/0.27	% ------------------------------
0.02/0.27	% Version: Vampire 4.1 for CASC J8 Entry
0.02/0.27	% Termination reason: Refutation
0.02/0.27	
0.02/0.27	% Memory used [KB]: 511
0.02/0.27	% Time elapsed: 0.014 s
0.02/0.27	% ------------------------------
0.02/0.27	% ------------------------------
0.02/0.27	% Success in time 0.043 s
0.02/0.27	EOF
