0.07/0.16	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.07/0.17	% Command    : vampire --mode casc -t %d %s
0.13/0.39	% Computer   : n022.cluster.edu
0.13/0.39	% Model      : x86_64 x86_64
0.13/0.39	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.39	% Memory     : 8042.1875MB
0.13/0.39	% OS         : Linux 3.10.0-693.el7.x86_64
0.13/0.39	% CPULimit   : 180
0.13/0.39	% DateTime   : Thu Aug 29 11:02:58 EDT 2019
0.13/0.39	% CPUTime    : 
0.19/0.46	% 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
0.19/0.50	% Refutation found. Thanks to Tanya!
0.19/0.50	% SZS status Theorem for theBenchmark
0.19/0.50	% SZS output start Proof for theBenchmark
0.19/0.50	tff(func_def_6, type, sK0: $real).
0.19/0.50	tff(f1,conjecture,(
0.19/0.50	  ! [X0 : $real] : ($floor(X0) = $ceiling(X0) => $is_int(X0))),
0.19/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove)).
0.19/0.50	tff(f2,negated_conjecture,(
0.19/0.50	  ~! [X0 : $real] : ($floor(X0) = $ceiling(X0) => $is_int(X0))),
0.19/0.50	  inference(negated_conjecture,[],[f1])).
0.19/0.50	tff(f3,plain,(
0.19/0.50	  ( ! [X0:$real,X1:$real] : ($sum(X0,X1) = $sum(X1,X0)) )),
0.19/0.50	  introduced(theory_axiom,[])).
0.19/0.50	tff(f5,plain,(
0.19/0.50	  ( ! [X0:$real] : ($sum(X0,0.0) = X0) )),
0.19/0.50	  introduced(theory_axiom,[])).
0.19/0.50	tff(f13,plain,(
0.19/0.50	  ( ! [X0:$real] : ($uminus($uminus(X0)) = X0) )),
0.19/0.50	  introduced(theory_axiom,[])).
0.19/0.50	tff(f16,plain,(
0.19/0.50	  ( ! [X0:$real] : (~$less($ceiling(X0),X0)) )),
0.19/0.50	  introduced(theory_axiom,[])).
0.19/0.50	tff(f17,plain,(
0.19/0.50	  ( ! [X0:$real] : ($less($ceiling(X0),$sum(X0,1.0))) )),
0.19/0.50	  introduced(theory_axiom,[])).
0.19/0.50	tff(f18,plain,(
0.19/0.50	  ? [X0 : $real] : (~$is_int(X0) & $floor(X0) = $ceiling(X0))),
0.19/0.50	  inference(ennf_transformation,[],[f2])).
0.19/0.50	tff(f19,plain,(
0.19/0.50	  ? [X0 : $real] : (~$is_int(X0) & $floor(X0) = $ceiling(X0)) => (~$is_int(sK0) & $floor(sK0) = $ceiling(sK0))),
0.19/0.50	  introduced(choice_axiom,[])).
0.19/0.50	tff(f20,plain,(
0.19/0.50	  ~$is_int(sK0) & $floor(sK0) = $ceiling(sK0)),
0.19/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f18,f19])).
0.19/0.50	tff(f21,plain,(
0.19/0.50	  $floor(sK0) = $ceiling(sK0)),
0.19/0.50	  inference(cnf_transformation,[],[f20])).
0.19/0.50	tff(f22,plain,(
0.19/0.50	  ~$is_int(sK0)),
0.19/0.50	  inference(cnf_transformation,[],[f20])).
0.19/0.50	tff(f23,plain,(
0.19/0.50	  ( ! [X1:$real] : (~$is_int(X1) | sK0 != X1) )),
0.19/0.50	  inference(theory_flattening,[],[f22])).
0.19/0.50	tff(f24,plain,(
0.19/0.50	  ( ! [X2:$real,X1:$real] : (sK0 != X1 | sK0 != X2 | $floor(X1) = $ceiling(X2)) )),
0.19/0.50	  inference(theory_flattening,[],[f21])).
0.19/0.50	tff(f25,plain,(
0.19/0.50	  ~$is_int($uminus($uminus(sK0)))),
0.19/0.50	  inference(unit_resulting_resolution,[],[f13,f23])).
0.19/0.50	tff(f26,plain,(
0.19/0.50	  ~$is_int($sum(sK0,0.0))),
0.19/0.50	  inference(unit_resulting_resolution,[],[f5,f23])).
0.19/0.50	tff(f27,plain,(
0.19/0.50	  ~$is_int(sK0)),
0.19/0.50	  inference(evaluation,[],[f26])).
0.19/0.50	tff(f32,plain,(
0.19/0.50	  spl1_1 <=> ~$is_int(sK0)),
0.19/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl1_1])])).
0.19/0.50	tff(f34,plain,(
0.19/0.50	  ~spl1_1),
0.19/0.50	  inference(avatar_split_clause,[],[f27,f32])).
0.19/0.50	tff(f35,plain,(
0.19/0.50	  ~$is_int(sK0)),
0.19/0.50	  inference(forward_demodulation,[],[f25,f13])).
0.19/0.50	tff(f36,plain,(
0.19/0.50	  ~spl1_1),
0.19/0.50	  inference(avatar_split_clause,[],[f35,f32])).
0.19/0.50	tff(f37,plain,(
0.19/0.50	  $floor($uminus($uminus(sK0))) = $ceiling($uminus($uminus(sK0)))),
0.19/0.50	  inference(unit_resulting_resolution,[],[f13,f13,f24])).
0.19/0.50	tff(f38,plain,(
0.19/0.50	  $floor($sum(sK0,0.0)) = $ceiling($uminus($uminus(sK0)))),
0.19/0.50	  inference(unit_resulting_resolution,[],[f5,f13,f24])).
0.19/0.50	tff(f39,plain,(
0.19/0.50	  $floor($uminus($uminus(sK0))) = $ceiling($sum(sK0,0.0))),
0.19/0.50	  inference(unit_resulting_resolution,[],[f13,f5,f24])).
0.19/0.50	tff(f40,plain,(
0.19/0.50	  $floor($sum(sK0,0.0)) = $ceiling($sum(sK0,0.0))),
0.19/0.50	  inference(unit_resulting_resolution,[],[f5,f5,f24])).
0.19/0.50	tff(f42,plain,(
0.19/0.50	  $floor(sK0) = $ceiling($uminus($uminus(sK0)))),
0.19/0.50	  inference(evaluation,[],[f38])).
0.19/0.50	tff(f43,plain,(
0.19/0.50	  $floor($uminus($uminus(sK0))) = $ceiling(sK0)),
0.19/0.50	  inference(evaluation,[],[f39])).
0.19/0.50	tff(f44,plain,(
0.19/0.50	  $floor(sK0) = $ceiling(sK0)),
0.19/0.50	  inference(evaluation,[],[f40])).
0.19/0.50	tff(f49,plain,(
0.19/0.50	  spl1_2 <=> $floor(sK0) = $ceiling(sK0)),
0.19/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl1_2])])).
0.19/0.50	tff(f50,plain,(
0.19/0.50	  $floor(sK0) = $ceiling(sK0) | ~spl1_2),
0.19/0.50	  inference(avatar_component_clause,[],[f49])).
0.19/0.50	tff(f51,plain,(
0.19/0.50	  spl1_2),
0.19/0.50	  inference(avatar_split_clause,[],[f44,f49])).
0.19/0.50	tff(f52,plain,(
0.19/0.50	  $floor(sK0) = $ceiling(sK0)),
0.19/0.50	  inference(forward_demodulation,[],[f43,f13])).
0.19/0.50	tff(f53,plain,(
0.19/0.50	  spl1_2),
0.19/0.50	  inference(avatar_split_clause,[],[f52,f49])).
0.19/0.50	tff(f54,plain,(
0.19/0.50	  $floor(sK0) = $ceiling(sK0)),
0.19/0.50	  inference(forward_demodulation,[],[f42,f13])).
0.19/0.50	tff(f55,plain,(
0.19/0.50	  spl1_2),
0.19/0.50	  inference(avatar_split_clause,[],[f54,f49])).
0.19/0.50	tff(f56,plain,(
0.19/0.50	  $floor(sK0) = $ceiling(sK0)),
0.19/0.50	  inference(forward_demodulation,[],[f37,f13])).
0.19/0.50	tff(f57,plain,(
0.19/0.50	  spl1_2),
0.19/0.50	  inference(avatar_split_clause,[],[f56,f49])).
0.19/0.50	tff(f58,plain,(
0.19/0.50	  ~$less($floor(sK0),sK0) | ~spl1_2),
0.19/0.50	  inference(superposition,[],[f16,f50])).
0.19/0.50	tff(f59,plain,(
0.19/0.50	  $less($floor(sK0),$sum(sK0,1.0)) | ~spl1_2),
0.19/0.50	  inference(superposition,[],[f17,f50])).
0.19/0.50	tff(f64,plain,(
0.19/0.50	  spl1_5 <=> ~$less($floor(sK0),sK0)),
0.19/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl1_5])])).
0.19/0.50	tff(f66,plain,(
0.19/0.50	  ~spl1_5 | ~spl1_2),
0.19/0.50	  inference(avatar_split_clause,[],[f58,f49,f64])).
0.19/0.50	tff(f67,plain,(
0.19/0.50	  $less($floor(sK0),$sum(1.0,sK0)) | ~spl1_2),
0.19/0.50	  inference(forward_demodulation,[],[f59,f3])).
0.19/0.50	tff(f72,plain,(
0.19/0.50	  spl1_6 <=> $less($floor(sK0),$sum(1.0,sK0))),
0.19/0.50	  introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
0.19/0.50	tff(f74,plain,(
0.19/0.50	  spl1_6 | ~spl1_2),
0.19/0.50	  inference(avatar_split_clause,[],[f67,f49,f72])).
0.19/0.50	tff(f75,plain,(
0.19/0.50	  $false),
0.19/0.50	  inference(avatar_sat_refutation,[],[f34,f36,f51,f53,f55,f57,f66,f74])).
0.19/0.50	% SZS output end Proof for theBenchmark
0.19/0.50	% ------------------------------
0.19/0.50	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.19/0.50	% Termination reason: Refutation
0.19/0.50	
0.19/0.50	% Memory used [KB]: 5117
0.19/0.50	% Time elapsed: 0.040 s
0.19/0.50	% ------------------------------
0.19/0.50	% ------------------------------
0.19/0.50	% Success in time 0.102 s
0.19/0.50	EOF