0.00/0.12	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.12	% Command    : vampire --mode casc -t %d %s
0.13/0.33	% Computer   : n024.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   : 180
0.13/0.33	% DateTime   : Thu Aug 29 11:16:20 EDT 2019
0.13/0.33	% CPUTime    : 
0.20/0.39	% lrs+1011_2:1_add=large:afr=on:afp=4000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:gs=on:irw=on:nm=64:nwc=1:sas=z3:stl=30:sos=on:sp=reverse_arity:thf=on:urr=on:updr=off_2 on theBenchmark
0.20/0.45	% Refutation found. Thanks to Tanya!
0.20/0.45	% SZS status Theorem for theBenchmark
0.20/0.45	% SZS output start Proof for theBenchmark
0.20/0.45	tff(func_def_6, type, sK0: $real).
0.20/0.45	tff(func_def_7, type, sK1: $real).
0.20/0.45	tff(f1,conjecture,(
0.20/0.45	  ! [X0 : $real,X1 : $real] : ($floor(X0) = $floor(X1) => $less($difference(X0,X1),1.0))),
0.20/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
0.20/0.45	tff(f2,negated_conjecture,(
0.20/0.45	  ~! [X0 : $real,X1 : $real] : ($floor(X0) = $floor(X1) => $less($difference(X0,X1),1.0))),
0.20/0.45	  inference(negated_conjecture,[],[f1])).
0.20/0.45	tff(f3,plain,(
0.20/0.45	  ( ! [X0:$real,X1:$real] : ($sum(X0,X1) = $sum(X1,X0)) )),
0.20/0.45	  introduced(theory_axiom,[])).
0.20/0.45	tff(f5,plain,(
0.20/0.45	  ( ! [X0:$real] : ($sum(X0,0.0) = X0) )),
0.20/0.45	  introduced(theory_axiom,[])).
0.20/0.45	tff(f6,plain,(
0.20/0.45	  ( ! [X0:$real,X1:$real] : ($sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1))) )),
0.20/0.45	  introduced(theory_axiom,[])).
0.20/0.45	tff(f13,plain,(
0.20/0.45	  ( ! [X0:$real] : ($uminus($uminus(X0)) = X0) )),
0.20/0.45	  introduced(theory_axiom,[])).
0.20/0.45	tff(f14,plain,(
0.20/0.45	  ( ! [X0:$real] : (~$less(X0,$floor(X0))) )),
0.20/0.45	  introduced(theory_axiom,[])).
0.20/0.45	tff(f15,plain,(
0.20/0.45	  ( ! [X0:$real] : ($less($sum(X0,$uminus(1.0)),$floor(X0))) )),
0.20/0.45	  introduced(theory_axiom,[])).
0.20/0.45	tff(f16,plain,(
0.20/0.45	  ~! [X0 : $real,X1 : $real] : ($floor(X0) = $floor(X1) => $less($sum(X0,$uminus(X1)),1.0))),
0.20/0.45	  inference(evaluation,[],[f2])).
0.20/0.45	tff(f17,plain,(
0.20/0.45	  ? [X0 : $real,X1 : $real] : (~$less($sum(X0,$uminus(X1)),1.0) & $floor(X0) = $floor(X1))),
0.20/0.45	  inference(ennf_transformation,[],[f16])).
0.20/0.45	tff(f18,plain,(
0.20/0.45	  ? [X0 : $real,X1 : $real] : (~$less($sum(X0,$uminus(X1)),1.0) & $floor(X0) = $floor(X1)) => (~$less($sum(sK0,$uminus(sK1)),1.0) & $floor(sK0) = $floor(sK1))),
0.20/0.45	  introduced(choice_axiom,[])).
0.20/0.45	tff(f19,plain,(
0.20/0.45	  ~$less($sum(sK0,$uminus(sK1)),1.0) & $floor(sK0) = $floor(sK1)),
0.20/0.45	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f17,f18])).
0.20/0.45	tff(f20,plain,(
0.20/0.45	  $floor(sK0) = $floor(sK1)),
0.20/0.45	  inference(cnf_transformation,[],[f19])).
0.20/0.45	tff(f21,plain,(
0.20/0.45	  ~$less($sum(sK0,$uminus(sK1)),1.0)),
0.20/0.45	  inference(cnf_transformation,[],[f19])).
0.20/0.45	tff(f22,plain,(
0.20/0.45	  ( ! [X2:$real,X1:$real] : (sK1 != X2 | sK0 != X1 | ~$less($sum(X1,$uminus(X2)),1.0)) )),
0.20/0.45	  inference(theory_flattening,[],[f21])).
0.20/0.45	tff(f23,plain,(
0.20/0.45	  ( ! [X2:$real,X1:$real] : (sK1 != X2 | sK0 != X1 | $floor(X1) = $floor(X2)) )),
0.20/0.45	  inference(theory_flattening,[],[f20])).
0.20/0.45	tff(f24,plain,(
0.20/0.45	  $floor($uminus($uminus(sK0))) = $floor($uminus($uminus(sK1)))),
0.20/0.45	  inference(unit_resulting_resolution,[],[f13,f13,f23])).
0.20/0.45	tff(f25,plain,(
0.20/0.45	  $floor($sum(sK1,0.0)) = $floor($uminus($uminus(sK0)))),
0.20/0.45	  inference(unit_resulting_resolution,[],[f5,f13,f23])).
0.20/0.45	tff(f26,plain,(
0.20/0.45	  $floor($sum(sK0,0.0)) = $floor($uminus($uminus(sK1)))),
0.20/0.45	  inference(unit_resulting_resolution,[],[f13,f5,f23])).
0.20/0.45	tff(f27,plain,(
0.20/0.45	  $floor($sum(sK0,0.0)) = $floor($sum(sK1,0.0))),
0.20/0.45	  inference(unit_resulting_resolution,[],[f5,f5,f23])).
0.20/0.45	tff(f29,plain,(
0.20/0.45	  $floor(sK1) = $floor($uminus($uminus(sK0)))),
0.20/0.45	  inference(evaluation,[],[f25])).
0.20/0.45	tff(f30,plain,(
0.20/0.45	  $floor(sK0) = $floor($uminus($uminus(sK1)))),
0.20/0.45	  inference(evaluation,[],[f26])).
0.20/0.45	tff(f31,plain,(
0.20/0.45	  $floor(sK0) = $floor(sK1)),
0.20/0.45	  inference(evaluation,[],[f27])).
0.20/0.45	tff(f36,plain,(
0.20/0.45	  spl2_0 <=> $floor(sK0) = $floor(sK1)),
0.20/0.45	  introduced(avatar_definition,[new_symbols(naming,[spl2_0])])).
0.20/0.45	tff(f37,plain,(
0.20/0.45	  $floor(sK0) = $floor(sK1) | ~spl2_0),
0.20/0.45	  inference(avatar_component_clause,[],[f36])).
0.20/0.45	tff(f38,plain,(
0.20/0.45	  spl2_0),
0.20/0.45	  inference(avatar_split_clause,[],[f31,f36])).
0.20/0.45	tff(f39,plain,(
0.20/0.45	  $floor(sK0) = $floor(sK1)),
0.20/0.45	  inference(forward_demodulation,[],[f30,f13])).
0.20/0.45	tff(f40,plain,(
0.20/0.45	  spl2_0),
0.20/0.45	  inference(avatar_split_clause,[],[f39,f36])).
0.20/0.45	tff(f41,plain,(
0.20/0.45	  $floor(sK0) = $floor(sK1)),
0.20/0.45	  inference(forward_demodulation,[],[f29,f13])).
0.20/0.45	tff(f42,plain,(
0.20/0.45	  spl2_0),
0.20/0.45	  inference(avatar_split_clause,[],[f41,f36])).
0.20/0.45	tff(f43,plain,(
0.20/0.45	  $floor(sK1) = $floor($uminus($uminus(sK0)))),
0.20/0.45	  inference(forward_demodulation,[],[f24,f13])).
0.20/0.45	tff(f44,plain,(
0.20/0.45	  $floor(sK0) = $floor(sK1)),
0.20/0.45	  inference(forward_demodulation,[],[f43,f13])).
0.20/0.45	tff(f45,plain,(
0.20/0.45	  spl2_0),
0.20/0.45	  inference(avatar_split_clause,[],[f44,f36])).
0.20/0.45	tff(f46,plain,(
0.20/0.45	  ~$less(sK1,$floor(sK0)) | ~spl2_0),
0.20/0.45	  inference(superposition,[],[f14,f37])).
0.20/0.45	tff(f47,plain,(
0.20/0.45	  $less($sum(sK1,$uminus(1.0)),$floor(sK0)) | ~spl2_0),
0.20/0.45	  inference(superposition,[],[f15,f37])).
0.20/0.45	tff(f48,plain,(
0.20/0.45	  $less($sum(sK1,-1.0),$floor(sK0)) | ~spl2_0),
0.20/0.45	  inference(evaluation,[],[f47])).
0.20/0.45	tff(f53,plain,(
0.20/0.45	  spl2_3 <=> ~$less(sK1,$floor(sK0))),
0.20/0.45	  introduced(avatar_definition,[new_symbols(naming,[spl2_3])])).
0.20/0.45	tff(f55,plain,(
0.20/0.45	  ~spl2_3 | ~spl2_0),
0.20/0.45	  inference(avatar_split_clause,[],[f46,f36,f53])).
0.20/0.45	tff(f56,plain,(
0.20/0.45	  $less($sum(-1.0,sK1),$floor(sK0)) | ~spl2_0),
0.20/0.45	  inference(forward_demodulation,[],[f48,f3])).
0.20/0.45	tff(f61,plain,(
0.20/0.45	  spl2_4 <=> $less($sum(-1.0,sK1),$floor(sK0))),
0.20/0.45	  introduced(avatar_definition,[new_symbols(naming,[spl2_4])])).
0.20/0.45	tff(f63,plain,(
0.20/0.45	  spl2_4 | ~spl2_0),
0.20/0.45	  inference(avatar_split_clause,[],[f56,f36,f61])).
0.20/0.45	tff(f64,plain,(
0.20/0.45	  ~$less($sum($sum(sK0,0.0),$uminus($sum(sK1,0.0))),1.0)),
0.20/0.45	  inference(unit_resulting_resolution,[],[f5,f5,f22])).
0.20/0.45	tff(f65,plain,(
0.20/0.45	  ~$less($sum($sum(sK0,0.0),$uminus($uminus($uminus(sK1)))),1.0)),
0.20/0.45	  inference(unit_resulting_resolution,[],[f13,f5,f22])).
0.20/0.45	tff(f66,plain,(
0.20/0.45	  ~$less($sum($uminus($uminus(sK0)),$uminus($sum(sK1,0.0))),1.0)),
0.20/0.45	  inference(unit_resulting_resolution,[],[f5,f13,f22])).
0.20/0.45	tff(f67,plain,(
0.20/0.45	  ~$less($sum($uminus($uminus(sK0)),$uminus($uminus($uminus(sK1)))),1.0)),
0.20/0.45	  inference(unit_resulting_resolution,[],[f13,f13,f22])).
0.20/0.45	tff(f69,plain,(
0.20/0.45	  ~$less($sum(sK0,$uminus(sK1)),1.0)),
0.20/0.45	  inference(evaluation,[],[f64])).
0.20/0.45	tff(f70,plain,(
0.20/0.45	  ~$less($sum(sK0,$uminus($uminus($uminus(sK1)))),1.0)),
0.20/0.45	  inference(evaluation,[],[f65])).
0.20/0.45	tff(f71,plain,(
0.20/0.45	  ~$less($sum($uminus($uminus(sK0)),$uminus(sK1)),1.0)),
0.20/0.45	  inference(evaluation,[],[f66])).
0.20/0.45	tff(f72,plain,(
0.20/0.45	  ~$less($uminus($sum($uminus($uminus(sK1)),$uminus(sK0))),1.0)),
0.20/0.45	  inference(forward_demodulation,[],[f67,f6])).
0.20/0.45	tff(f73,plain,(
0.20/0.45	  ~$less($uminus($sum($uminus(sK0),$uminus($uminus(sK1)))),1.0)),
0.20/0.45	  inference(forward_demodulation,[],[f72,f3])).
0.20/0.45	tff(f74,plain,(
0.20/0.45	  ~$less($uminus($uminus($sum($uminus(sK1),sK0))),1.0)),
0.20/0.45	  inference(forward_demodulation,[],[f73,f6])).
0.20/0.45	tff(f75,plain,(
0.20/0.45	  ~$less($sum($uminus(sK1),sK0),1.0)),
0.20/0.45	  inference(forward_demodulation,[],[f74,f13])).
0.20/0.45	tff(f76,plain,(
0.20/0.45	  ~$less($sum(sK0,$uminus(sK1)),1.0)),
0.20/0.45	  inference(forward_demodulation,[],[f75,f3])).
0.20/0.45	tff(f81,plain,(
0.20/0.45	  spl2_7 <=> ~$less($sum(sK0,$uminus(sK1)),1.0)),
0.20/0.45	  introduced(avatar_definition,[new_symbols(naming,[spl2_7])])).
0.20/0.45	tff(f83,plain,(
0.20/0.45	  ~spl2_7),
0.20/0.45	  inference(avatar_split_clause,[],[f76,f81])).
0.20/0.45	tff(f84,plain,(
0.20/0.45	  ~$less($sum($uminus(sK1),$uminus($uminus(sK0))),1.0)),
0.20/0.45	  inference(forward_demodulation,[],[f71,f3])).
0.20/0.45	tff(f85,plain,(
0.20/0.45	  ~$less($uminus($sum($uminus(sK0),sK1)),1.0)),
0.20/0.45	  inference(forward_demodulation,[],[f84,f6])).
0.20/0.45	tff(f86,plain,(
0.20/0.45	  ~$less($uminus($sum(sK1,$uminus(sK0))),1.0)),
0.20/0.45	  inference(forward_demodulation,[],[f85,f3])).
0.20/0.45	tff(f91,plain,(
0.20/0.45	  spl2_9 <=> ~$less($uminus($sum(sK1,$uminus(sK0))),1.0)),
0.20/0.45	  introduced(avatar_definition,[new_symbols(naming,[spl2_9])])).
0.20/0.45	tff(f93,plain,(
0.20/0.45	  ~spl2_9),
0.20/0.45	  inference(avatar_split_clause,[],[f86,f91])).
0.20/0.45	tff(f94,plain,(
0.20/0.45	  ~$less($sum(sK0,$uminus(sK1)),1.0)),
0.20/0.45	  inference(forward_demodulation,[],[f70,f13])).
0.20/0.45	tff(f95,plain,(
0.20/0.45	  ~spl2_7),
0.20/0.45	  inference(avatar_split_clause,[],[f94,f81])).
0.20/0.45	tff(f96,plain,(
0.20/0.45	  ~spl2_7),
0.20/0.45	  inference(avatar_split_clause,[],[f69,f81])).
0.20/0.45	tff(f97,plain,(
0.20/0.45	  $false),
0.20/0.45	  inference(avatar_sat_refutation,[],[f38,f40,f42,f45,f55,f63,f83,f93,f95,f96])).
0.20/0.45	% SZS output end Proof for theBenchmark
0.20/0.45	% ------------------------------
0.20/0.45	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.20/0.45	% Termination reason: Refutation
0.20/0.45	
0.20/0.45	% Memory used [KB]: 5117
0.20/0.45	% Time elapsed: 0.055 s
0.20/0.45	% ------------------------------
0.20/0.45	% ------------------------------
0.20/0.45	% Success in time 0.113 s
0.20/0.45	EOF