0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : vampire --mode casc -t %d %s
0.03/0.22	% Computer   : n126.star.cs.uiowa.edu
0.03/0.22	% Model      : x86_64 x86_64
0.03/0.22	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.22	% Memory     : 32218.625MB
0.03/0.22	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.22	% CPULimit   : 300
0.03/0.22	% DateTime   : Sat Jul 14 04:43:09 CDT 2018
0.03/0.23	% CPUTime    : 
0.03/0.26	% 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
0.06/0.30	% Refutation found. Thanks to Tanya!
0.06/0.30	% SZS status Theorem for theBenchmark
0.06/0.30	% SZS output start Proof for theBenchmark
0.06/0.30	tff(func_def_11, type, sK0: $real).
0.06/0.30	tff(f1,conjecture,(
0.06/0.30	  ! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)),
0.06/0.30	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',g7)).
0.06/0.30	tff(f2,negated_conjecture,(
0.06/0.30	  ~! [X0 : $real] : ($less($to_int(X0),$to_int($ceiling(X0))) => $to_real($to_int(X0)) != X0)),
0.06/0.30	  inference(negated_conjecture,[],[f1])).
0.06/0.30	tff(f3,plain,(
0.06/0.30	  ( ! [X0:$int,X1:$int] : ($sum(X0,X1) = $sum(X1,X0)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f7,plain,(
0.06/0.30	  ( ! [X0:$int] : (0 = $sum(X0,$uminus(X0))) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f8,plain,(
0.06/0.30	  ( ! [X0:$int] : (~$less(X0,X0)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f9,plain,(
0.06/0.30	  ( ! [X2:$int,X0:$int,X1:$int] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f10,plain,(
0.06/0.30	  ( ! [X0:$int,X1:$int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f11,plain,(
0.06/0.30	  ( ! [X2:$int,X0:$int,X1:$int] : ($less($sum(X0,X2),$sum(X1,X2)) | ~$less(X0,X1)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f12,plain,(
0.06/0.30	  ( ! [X0:$int,X1:$int] : ($less(X1,$sum(X0,1)) | $less(X0,X1)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f14,plain,(
0.06/0.30	  ( ! [X0:$int,X1:$int] : (~$less(X1,$sum(X0,1)) | ~$less(X0,X1)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f15,plain,(
0.06/0.30	  ( ! [X0:$real,X1:$real] : ($sum(X0,X1) = $sum(X1,X0)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f17,plain,(
0.06/0.30	  ( ! [X0:$real] : ($sum(X0,0.0) = X0) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f20,plain,(
0.06/0.30	  ( ! [X0:$real] : (~$less(X0,X0)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f21,plain,(
0.06/0.30	  ( ! [X2:$real,X0:$real,X1:$real] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f22,plain,(
0.06/0.30	  ( ! [X0:$real,X1:$real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f24,plain,(
0.06/0.30	  ( ! [X0:$real,X1:$real] : ($less(X1,$sum(X0,1.0)) | $less(X0,X1)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f25,plain,(
0.06/0.30	  ( ! [X0:$real] : ($uminus($uminus(X0)) = X0) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f26,plain,(
0.06/0.30	  ( ! [X0:$real] : (~$less($ceiling(X0),X0)) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f27,plain,(
0.06/0.30	  ( ! [X0:$real] : ($less($ceiling(X0),$sum(X0,1.0))) )),
0.06/0.30	  introduced(theory_axiom,[])).
0.06/0.30	tff(f28,plain,(
0.06/0.30	  ? [X0 : $real] : ($to_real($to_int(X0)) = X0 & $less($to_int(X0),$to_int($ceiling(X0))))),
0.06/0.30	  inference(ennf_transformation,[],[f2])).
0.06/0.30	tff(f29,plain,(
0.06/0.30	  ? [X0 : $real] : ($to_real($to_int(X0)) = X0 & $less($to_int(X0),$to_int($ceiling(X0)))) => ($to_real($to_int(sK0)) = sK0 & $less($to_int(sK0),$to_int($ceiling(sK0))))),
0.06/0.30	  introduced(choice_axiom,[])).
0.06/0.30	tff(f30,plain,(
0.06/0.30	  $to_real($to_int(sK0)) = sK0 & $less($to_int(sK0),$to_int($ceiling(sK0)))),
0.06/0.30	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f28,f29])).
0.06/0.30	tff(f31,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0)))),
0.06/0.30	  inference(cnf_transformation,[],[f30])).
0.06/0.30	tff(f32,plain,(
0.06/0.30	  $to_real($to_int(sK0)) = sK0),
0.06/0.30	  inference(cnf_transformation,[],[f30])).
0.06/0.30	tff(f33,plain,(
0.06/0.30	  ( ! [X2:$real,X1:$real] : (sK0 != X1 | sK0 != X2 | $to_real($to_int(X1)) = X2) )),
0.06/0.30	  inference(theory_flattening,[],[f32])).
0.06/0.30	tff(f34,plain,(
0.06/0.30	  ( ! [X2:$real,X1:$real] : ($less($to_int(X1),$to_int($ceiling(X2))) | sK0 != X2 | sK0 != X1) )),
0.06/0.30	  inference(theory_flattening,[],[f31])).
0.06/0.30	tff(f35,plain,(
0.06/0.30	  $to_real($to_int($sum(sK0,0.0))) = $sum(sK0,0.0)),
0.06/0.30	  inference(unit_resulting_resolution,[],[f17,f17,f33])).
0.06/0.30	tff(f36,plain,(
0.06/0.30	  $to_real($to_int($uminus($uminus(sK0)))) = $sum(sK0,0.0)),
0.06/0.30	  inference(unit_resulting_resolution,[],[f25,f17,f33])).
0.06/0.30	tff(f37,plain,(
0.06/0.30	  $to_real($to_int($sum(sK0,0.0))) = $uminus($uminus(sK0))),
0.06/0.30	  inference(unit_resulting_resolution,[],[f17,f25,f33])).
0.06/0.30	tff(f38,plain,(
0.06/0.30	  $to_real($to_int($uminus($uminus(sK0)))) = $uminus($uminus(sK0))),
0.06/0.30	  inference(unit_resulting_resolution,[],[f25,f25,f33])).
0.06/0.30	tff(f40,plain,(
0.06/0.30	  $to_real($to_int(sK0)) = sK0),
0.06/0.30	  inference(evaluation,[],[f35])).
0.06/0.30	tff(f41,plain,(
0.06/0.30	  $to_real($to_int($uminus($uminus(sK0)))) = sK0),
0.06/0.30	  inference(evaluation,[],[f36])).
0.06/0.30	tff(f42,plain,(
0.06/0.30	  $to_real($to_int(sK0)) = $uminus($uminus(sK0))),
0.06/0.30	  inference(evaluation,[],[f37])).
0.06/0.30	tff(f43,plain,(
0.06/0.30	  $to_real($to_int(sK0)) = sK0),
0.06/0.30	  inference(forward_demodulation,[],[f38,f25])).
0.06/0.30	tff(f48,plain,(
0.06/0.30	  spl1_0 <=> $to_real($to_int(sK0)) = sK0),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_0])])).
0.06/0.30	tff(f49,plain,(
0.06/0.30	  $to_real($to_int(sK0)) = sK0 | ~spl1_0),
0.06/0.30	  inference(avatar_component_clause,[],[f48])).
0.06/0.30	tff(f50,plain,(
0.06/0.30	  spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f43,f48])).
0.06/0.30	tff(f51,plain,(
0.06/0.30	  $to_real($to_int(sK0)) = sK0),
0.06/0.30	  inference(forward_demodulation,[],[f42,f25])).
0.06/0.30	tff(f52,plain,(
0.06/0.30	  spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f51,f48])).
0.06/0.30	tff(f53,plain,(
0.06/0.30	  $to_real($to_int(sK0)) = sK0),
0.06/0.30	  inference(forward_demodulation,[],[f41,f25])).
0.06/0.30	tff(f54,plain,(
0.06/0.30	  spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f53,f48])).
0.06/0.30	tff(f55,plain,(
0.06/0.30	  spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f40,f48])).
0.06/0.30	tff(f69,plain,(
0.06/0.30	  $less($to_int($to_real($to_int(sK0))),$to_int($ceiling($to_real($to_int(sK0))))) | ~spl1_0),
0.06/0.30	  inference(unit_resulting_resolution,[],[f49,f49,f34])).
0.06/0.30	tff(f70,plain,(
0.06/0.30	  $less($to_int($sum(sK0,0.0)),$to_int($ceiling($to_real($to_int(sK0))))) | ~spl1_0),
0.06/0.30	  inference(unit_resulting_resolution,[],[f17,f49,f34])).
0.06/0.30	tff(f71,plain,(
0.06/0.30	  $less($to_int($uminus($uminus(sK0))),$to_int($ceiling($to_real($to_int(sK0))))) | ~spl1_0),
0.06/0.30	  inference(unit_resulting_resolution,[],[f25,f49,f34])).
0.06/0.30	tff(f72,plain,(
0.06/0.30	  $less($to_int($to_real($to_int(sK0))),$to_int($ceiling($sum(sK0,0.0)))) | ~spl1_0),
0.06/0.30	  inference(unit_resulting_resolution,[],[f49,f17,f34])).
0.06/0.30	tff(f73,plain,(
0.06/0.30	  $less($to_int($sum(sK0,0.0)),$to_int($ceiling($sum(sK0,0.0))))),
0.06/0.30	  inference(unit_resulting_resolution,[],[f17,f17,f34])).
0.06/0.30	tff(f74,plain,(
0.06/0.30	  $less($to_int($uminus($uminus(sK0))),$to_int($ceiling($sum(sK0,0.0))))),
0.06/0.30	  inference(unit_resulting_resolution,[],[f25,f17,f34])).
0.06/0.30	tff(f75,plain,(
0.06/0.30	  $less($to_int($to_real($to_int(sK0))),$to_int($ceiling($uminus($uminus(sK0))))) | ~spl1_0),
0.06/0.30	  inference(unit_resulting_resolution,[],[f49,f25,f34])).
0.06/0.30	tff(f76,plain,(
0.06/0.30	  $less($to_int($sum(sK0,0.0)),$to_int($ceiling($uminus($uminus(sK0)))))),
0.06/0.30	  inference(unit_resulting_resolution,[],[f17,f25,f34])).
0.06/0.30	tff(f77,plain,(
0.06/0.30	  $less($to_int($uminus($uminus(sK0))),$to_int($ceiling($uminus($uminus(sK0)))))),
0.06/0.30	  inference(unit_resulting_resolution,[],[f25,f25,f34])).
0.06/0.30	tff(f78,plain,(
0.06/0.30	  $ceiling($to_real($to_int(sK0))) != sK0 | ~spl1_0),
0.06/0.30	  inference(unit_resulting_resolution,[],[f49,f8,f34])).
0.06/0.30	tff(f79,plain,(
0.06/0.30	  $ceiling($sum(sK0,0.0)) != sK0),
0.06/0.30	  inference(unit_resulting_resolution,[],[f17,f8,f34])).
0.06/0.30	tff(f80,plain,(
0.06/0.30	  $ceiling($uminus($uminus(sK0))) != sK0),
0.06/0.30	  inference(unit_resulting_resolution,[],[f25,f8,f34])).
0.06/0.30	tff(f82,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling($to_real($to_int(sK0))))) | ~spl1_0),
0.06/0.30	  inference(evaluation,[],[f70])).
0.06/0.30	tff(f83,plain,(
0.06/0.30	  $less($to_int($to_real($to_int(sK0))),$to_int($ceiling(sK0))) | ~spl1_0),
0.06/0.30	  inference(evaluation,[],[f72])).
0.06/0.30	tff(f84,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0)))),
0.06/0.30	  inference(evaluation,[],[f73])).
0.06/0.30	tff(f85,plain,(
0.06/0.30	  $less($to_int($uminus($uminus(sK0))),$to_int($ceiling(sK0)))),
0.06/0.30	  inference(evaluation,[],[f74])).
0.06/0.30	tff(f86,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling($uminus($uminus(sK0)))))),
0.06/0.30	  inference(evaluation,[],[f76])).
0.06/0.30	tff(f87,plain,(
0.06/0.30	  $ceiling(sK0) != sK0),
0.06/0.30	  inference(evaluation,[],[f79])).
0.06/0.30	tff(f88,plain,(
0.06/0.30	  $ceiling(sK0) != sK0),
0.06/0.30	  inference(forward_demodulation,[],[f80,f25])).
0.06/0.30	tff(f93,plain,(
0.06/0.30	  spl1_3 <=> $ceiling(sK0) != sK0),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_3])])).
0.06/0.30	tff(f94,plain,(
0.06/0.30	  $ceiling(sK0) != sK0 | ~spl1_3),
0.06/0.30	  inference(avatar_component_clause,[],[f93])).
0.06/0.30	tff(f95,plain,(
0.06/0.30	  ~spl1_3),
0.06/0.30	  inference(avatar_split_clause,[],[f88,f93])).
0.06/0.30	tff(f96,plain,(
0.06/0.30	  ~spl1_3),
0.06/0.30	  inference(avatar_split_clause,[],[f87,f93])).
0.06/0.30	tff(f97,plain,(
0.06/0.30	  $ceiling(sK0) != sK0 | ~spl1_0),
0.06/0.30	  inference(forward_demodulation,[],[f78,f49])).
0.06/0.30	tff(f98,plain,(
0.06/0.30	  ~spl1_3 | ~spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f97,f48,f93])).
0.06/0.30	tff(f99,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0)))),
0.06/0.30	  inference(forward_demodulation,[],[f77,f25])).
0.06/0.30	tff(f104,plain,(
0.06/0.30	  spl1_4 <=> $less($to_int(sK0),$to_int($ceiling(sK0)))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_4])])).
0.06/0.30	tff(f105,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_4),
0.06/0.30	  inference(avatar_component_clause,[],[f104])).
0.06/0.30	tff(f106,plain,(
0.06/0.30	  spl1_4),
0.06/0.30	  inference(avatar_split_clause,[],[f99,f104])).
0.06/0.30	tff(f107,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0)))),
0.06/0.30	  inference(forward_demodulation,[],[f86,f25])).
0.06/0.30	tff(f108,plain,(
0.06/0.30	  spl1_4),
0.06/0.30	  inference(avatar_split_clause,[],[f107,f104])).
0.06/0.30	tff(f109,plain,(
0.06/0.30	  $less($to_int($to_real($to_int(sK0))),$to_int($ceiling(sK0))) | ~spl1_0),
0.06/0.30	  inference(forward_demodulation,[],[f75,f25])).
0.06/0.30	tff(f110,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0),
0.06/0.30	  inference(forward_demodulation,[],[f109,f49])).
0.06/0.30	tff(f111,plain,(
0.06/0.30	  spl1_4 | ~spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f110,f48,f104])).
0.06/0.30	tff(f112,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0)))),
0.06/0.30	  inference(forward_demodulation,[],[f85,f25])).
0.06/0.30	tff(f113,plain,(
0.06/0.30	  spl1_4),
0.06/0.30	  inference(avatar_split_clause,[],[f112,f104])).
0.06/0.30	tff(f114,plain,(
0.06/0.30	  spl1_4),
0.06/0.30	  inference(avatar_split_clause,[],[f84,f104])).
0.06/0.30	tff(f115,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0),
0.06/0.30	  inference(forward_demodulation,[],[f83,f49])).
0.06/0.30	tff(f116,plain,(
0.06/0.30	  spl1_4 | ~spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f115,f48,f104])).
0.06/0.30	tff(f117,plain,(
0.06/0.30	  $less($to_int($uminus($uminus(sK0))),$to_int($ceiling(sK0))) | ~spl1_0),
0.06/0.30	  inference(forward_demodulation,[],[f71,f49])).
0.06/0.30	tff(f118,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0),
0.06/0.30	  inference(forward_demodulation,[],[f117,f25])).
0.06/0.30	tff(f119,plain,(
0.06/0.30	  spl1_4 | ~spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f118,f48,f104])).
0.06/0.30	tff(f120,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0),
0.06/0.30	  inference(forward_demodulation,[],[f82,f49])).
0.06/0.30	tff(f121,plain,(
0.06/0.30	  spl1_4 | ~spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f120,f48,f104])).
0.06/0.30	tff(f122,plain,(
0.06/0.30	  $less($to_int(sK0),$to_int($ceiling(sK0))) | ~spl1_0),
0.06/0.30	  inference(forward_demodulation,[],[f69,f49])).
0.06/0.30	tff(f123,plain,(
0.06/0.30	  spl1_4 | ~spl1_0),
0.06/0.30	  inference(avatar_split_clause,[],[f122,f48,f104])).
0.06/0.30	tff(f124,plain,(
0.06/0.30	  $less(sK0,$ceiling(sK0)) | ~spl1_3),
0.06/0.30	  inference(unit_resulting_resolution,[],[f26,f94,f22])).
0.06/0.30	tff(f125,plain,(
0.06/0.30	  $less(sK0,$ceiling(sK0)) | ~spl1_3),
0.06/0.30	  inference(unit_resulting_resolution,[],[f26,f94,f22])).
0.06/0.30	tff(f127,plain,(
0.06/0.30	  spl1_7 <=> ~$less(sK0,$ceiling(sK0))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_7])])).
0.06/0.30	tff(f130,plain,(
0.06/0.30	  spl1_6 <=> $less(sK0,$ceiling(sK0))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_6])])).
0.06/0.30	tff(f131,plain,(
0.06/0.30	  $less(sK0,$ceiling(sK0)) | ~spl1_6),
0.06/0.30	  inference(avatar_component_clause,[],[f130])).
0.06/0.30	tff(f132,plain,(
0.06/0.30	  spl1_6 | spl1_3),
0.06/0.30	  inference(avatar_split_clause,[],[f125,f93,f130])).
0.06/0.30	tff(f133,plain,(
0.06/0.30	  spl1_6 | spl1_3),
0.06/0.30	  inference(avatar_split_clause,[],[f124,f93,f130])).
0.06/0.30	tff(f135,plain,(
0.06/0.30	  $less(sK0,$sum(sK0,1.0)) | ~spl1_6),
0.06/0.30	  inference(unit_resulting_resolution,[],[f27,f131,f21])).
0.06/0.30	tff(f136,plain,(
0.06/0.30	  ~$less($ceiling($ceiling(sK0)),sK0) | ~spl1_6),
0.06/0.30	  inference(unit_resulting_resolution,[],[f26,f131,f21])).
0.06/0.30	tff(f143,plain,(
0.06/0.30	  spl1_9 <=> ~$less($ceiling($ceiling(sK0)),sK0)),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_9])])).
0.06/0.30	tff(f144,plain,(
0.06/0.30	  ~$less($ceiling($ceiling(sK0)),sK0) | ~spl1_9),
0.06/0.30	  inference(avatar_component_clause,[],[f143])).
0.06/0.30	tff(f145,plain,(
0.06/0.30	  ~spl1_9 | ~spl1_6),
0.06/0.30	  inference(avatar_split_clause,[],[f136,f130,f143])).
0.06/0.30	tff(f146,plain,(
0.06/0.30	  $less(sK0,$sum(1.0,sK0)) | ~spl1_6),
0.06/0.30	  inference(forward_demodulation,[],[f135,f15])).
0.06/0.30	tff(f151,plain,(
0.06/0.30	  spl1_10 <=> $less(sK0,$sum(1.0,sK0))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_10])])).
0.06/0.30	tff(f152,plain,(
0.06/0.30	  $less(sK0,$sum(1.0,sK0)) | ~spl1_10),
0.06/0.30	  inference(avatar_component_clause,[],[f151])).
0.06/0.30	tff(f153,plain,(
0.06/0.30	  spl1_10 | ~spl1_6),
0.06/0.30	  inference(avatar_split_clause,[],[f146,f130,f151])).
0.06/0.30	tff(f154,plain,(
0.06/0.30	  ~$less($to_int($ceiling(sK0)),$to_int(sK0)) | ~spl1_4),
0.06/0.30	  inference(unit_resulting_resolution,[],[f8,f105,f9])).
0.06/0.30	tff(f155,plain,(
0.06/0.30	  ~$less($to_int($ceiling(sK0)),$to_int(sK0)) | ~spl1_4),
0.06/0.30	  inference(unit_resulting_resolution,[],[f8,f105,f9])).
0.06/0.30	tff(f156,plain,(
0.06/0.30	  ( ! [X0:$int] : ($less($sum($to_int(sK0),X0),$sum($to_int($ceiling(sK0)),X0))) ) | ~spl1_4),
0.06/0.30	  inference(unit_resulting_resolution,[],[f105,f11])).
0.06/0.30	tff(f157,plain,(
0.06/0.30	  ~$less($to_int($ceiling(sK0)),$sum($to_int(sK0),1)) | ~spl1_4),
0.06/0.30	  inference(unit_resulting_resolution,[],[f105,f14])).
0.06/0.30	tff(f158,plain,(
0.06/0.30	  ~$less($to_int($ceiling(sK0)),$sum(1,$to_int(sK0))) | ~spl1_4),
0.06/0.30	  inference(forward_demodulation,[],[f157,f3])).
0.06/0.30	tff(f163,plain,(
0.06/0.30	  spl1_13 <=> ~$less($to_int($ceiling(sK0)),$sum(1,$to_int(sK0)))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_13])])).
0.06/0.30	tff(f164,plain,(
0.06/0.30	  ~$less($to_int($ceiling(sK0)),$sum(1,$to_int(sK0))) | ~spl1_13),
0.06/0.30	  inference(avatar_component_clause,[],[f163])).
0.06/0.30	tff(f165,plain,(
0.06/0.30	  ~spl1_13 | ~spl1_4),
0.06/0.30	  inference(avatar_split_clause,[],[f158,f104,f163])).
0.06/0.30	tff(f170,plain,(
0.06/0.30	  spl1_15 <=> ~$less($to_int($ceiling(sK0)),$to_int(sK0))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_15])])).
0.06/0.30	tff(f171,plain,(
0.06/0.30	  ~$less($to_int($ceiling(sK0)),$to_int(sK0)) | ~spl1_15),
0.06/0.30	  inference(avatar_component_clause,[],[f170])).
0.06/0.30	tff(f172,plain,(
0.06/0.30	  ~spl1_15 | ~spl1_4),
0.06/0.30	  inference(avatar_split_clause,[],[f155,f104,f170])).
0.06/0.30	tff(f173,plain,(
0.06/0.30	  ~spl1_15 | ~spl1_4),
0.06/0.30	  inference(avatar_split_clause,[],[f154,f104,f170])).
0.06/0.30	tff(f180,plain,(
0.06/0.30	  ~$less($sum($ceiling(sK0),1.0),sK0) | ~spl1_9),
0.06/0.30	  inference(unit_resulting_resolution,[],[f27,f144,f21])).
0.06/0.30	tff(f181,plain,(
0.06/0.30	  $less(sK0,$sum($ceiling($ceiling(sK0)),1.0)) | ~spl1_9),
0.06/0.30	  inference(unit_resulting_resolution,[],[f144,f24])).
0.06/0.30	tff(f183,plain,(
0.06/0.30	  $less(sK0,$ceiling($ceiling(sK0))) | $ceiling($ceiling(sK0)) = sK0 | ~spl1_9),
0.06/0.30	  inference(resolution,[],[f144,f22])).
0.06/0.30	tff(f184,plain,(
0.06/0.30	  $less(sK0,$sum(1.0,$ceiling($ceiling(sK0)))) | ~spl1_9),
0.06/0.30	  inference(forward_demodulation,[],[f181,f15])).
0.06/0.30	tff(f189,plain,(
0.06/0.30	  spl1_16 <=> $less(sK0,$sum(1.0,$ceiling($ceiling(sK0))))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_16])])).
0.06/0.30	tff(f191,plain,(
0.06/0.30	  spl1_16 | spl1_9),
0.06/0.30	  inference(avatar_split_clause,[],[f184,f143,f189])).
0.06/0.30	tff(f192,plain,(
0.06/0.30	  ~$less($sum(1.0,$ceiling(sK0)),sK0) | ~spl1_9),
0.06/0.30	  inference(forward_demodulation,[],[f180,f15])).
0.06/0.30	tff(f197,plain,(
0.06/0.30	  spl1_19 <=> ~$less($sum(1.0,$ceiling(sK0)),sK0)),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_19])])).
0.06/0.30	tff(f199,plain,(
0.06/0.30	  ~spl1_19 | spl1_9),
0.06/0.30	  inference(avatar_split_clause,[],[f192,f143,f197])).
0.06/0.30	tff(f204,plain,(
0.06/0.30	  spl1_20 <=> $ceiling($ceiling(sK0)) = sK0),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_20])])).
0.06/0.30	tff(f205,plain,(
0.06/0.30	  $ceiling($ceiling(sK0)) = sK0 | ~spl1_20),
0.06/0.30	  inference(avatar_component_clause,[],[f204])).
0.06/0.30	tff(f210,plain,(
0.06/0.30	  spl1_22 <=> $less(sK0,$ceiling($ceiling(sK0)))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_22])])).
0.06/0.30	tff(f212,plain,(
0.06/0.30	  spl1_20 | spl1_22 | spl1_9),
0.06/0.30	  inference(avatar_split_clause,[],[f183,f143,f210,f204])).
0.06/0.30	tff(f223,plain,(
0.06/0.30	  $less($to_int(sK0),$sum($to_int($ceiling(sK0)),1)) | ~spl1_15),
0.06/0.30	  inference(unit_resulting_resolution,[],[f171,f12])).
0.06/0.30	tff(f226,plain,(
0.06/0.30	  $less($to_int(sK0),$sum(1,$to_int($ceiling(sK0)))) | ~spl1_15),
0.06/0.30	  inference(forward_demodulation,[],[f223,f3])).
0.06/0.30	tff(f231,plain,(
0.06/0.30	  spl1_24 <=> $less($to_int(sK0),$sum(1,$to_int($ceiling(sK0))))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_24])])).
0.06/0.30	tff(f233,plain,(
0.06/0.30	  spl1_24 | spl1_15),
0.06/0.30	  inference(avatar_split_clause,[],[f226,f170,f231])).
0.06/0.30	tff(f234,plain,(
0.06/0.30	  ~$less($sum(1.0,sK0),sK0) | ~spl1_10),
0.06/0.30	  inference(unit_resulting_resolution,[],[f20,f152,f21])).
0.06/0.30	tff(f235,plain,(
0.06/0.30	  ~$less($ceiling($sum(1.0,sK0)),sK0) | ~spl1_10),
0.06/0.30	  inference(unit_resulting_resolution,[],[f26,f152,f21])).
0.06/0.30	tff(f236,plain,(
0.06/0.30	  ~$less($sum(1.0,sK0),sK0) | ~spl1_10),
0.06/0.30	  inference(unit_resulting_resolution,[],[f20,f152,f21])).
0.06/0.30	tff(f243,plain,(
0.06/0.30	  spl1_27 <=> ~$less($sum(1.0,sK0),sK0)),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_27])])).
0.06/0.30	tff(f245,plain,(
0.06/0.30	  ~spl1_27 | ~spl1_10),
0.06/0.30	  inference(avatar_split_clause,[],[f236,f151,f243])).
0.06/0.30	tff(f250,plain,(
0.06/0.30	  spl1_29 <=> ~$less($ceiling($sum(1.0,sK0)),sK0)),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_29])])).
0.06/0.30	tff(f252,plain,(
0.06/0.30	  ~spl1_29 | ~spl1_10),
0.06/0.30	  inference(avatar_split_clause,[],[f235,f151,f250])).
0.06/0.30	tff(f253,plain,(
0.06/0.30	  ~spl1_27 | ~spl1_10),
0.06/0.30	  inference(avatar_split_clause,[],[f234,f151,f243])).
0.06/0.30	tff(f254,plain,(
0.06/0.30	  $less($sum(1,$to_int(sK0)),$sum($to_int($ceiling(sK0)),1)) | ~spl1_13),
0.06/0.30	  inference(unit_resulting_resolution,[],[f164,f12])).
0.06/0.30	tff(f256,plain,(
0.06/0.30	  $less($sum(1,$to_int(sK0)),$to_int($ceiling(sK0))) | $to_int($ceiling(sK0)) = $sum(1,$to_int(sK0)) | ~spl1_13),
0.06/0.30	  inference(resolution,[],[f164,f10])).
0.06/0.30	tff(f257,plain,(
0.06/0.30	  $less($sum(1,$to_int(sK0)),$sum(1,$to_int($ceiling(sK0)))) | ~spl1_13),
0.06/0.30	  inference(forward_demodulation,[],[f254,f3])).
0.06/0.30	tff(f262,plain,(
0.06/0.30	  spl1_30 <=> $less($sum(1,$to_int(sK0)),$sum(1,$to_int($ceiling(sK0))))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_30])])).
0.06/0.30	tff(f264,plain,(
0.06/0.30	  spl1_30 | spl1_13),
0.06/0.30	  inference(avatar_split_clause,[],[f257,f163,f262])).
0.06/0.30	tff(f269,plain,(
0.06/0.30	  spl1_32 <=> $to_int($ceiling(sK0)) = $sum(1,$to_int(sK0))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_32])])).
0.06/0.30	tff(f275,plain,(
0.06/0.30	  spl1_34 <=> $less($sum(1,$to_int(sK0)),$to_int($ceiling(sK0)))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_34])])).
0.06/0.30	tff(f277,plain,(
0.06/0.30	  spl1_32 | spl1_34 | spl1_13),
0.06/0.30	  inference(avatar_split_clause,[],[f256,f163,f275,f269])).
0.06/0.30	tff(f287,plain,(
0.06/0.30	  $less(0,$sum($to_int($ceiling(sK0)),$uminus($to_int(sK0)))) | ~spl1_4),
0.06/0.30	  inference(superposition,[],[f156,f7])).
0.06/0.30	tff(f291,plain,(
0.06/0.30	  $less($sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))),0) | ~spl1_4),
0.06/0.30	  inference(superposition,[],[f156,f7])).
0.06/0.30	tff(f303,plain,(
0.06/0.30	  spl1_36 <=> $less(0,$sum($to_int($ceiling(sK0)),$uminus($to_int(sK0))))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_36])])).
0.06/0.30	tff(f305,plain,(
0.06/0.30	  spl1_36 | ~spl1_4),
0.06/0.30	  inference(avatar_split_clause,[],[f287,f104,f303])).
0.06/0.30	tff(f310,plain,(
0.06/0.30	  spl1_38 <=> $less($sum($to_int(sK0),$uminus($to_int($ceiling(sK0)))),0)),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_38])])).
0.06/0.30	tff(f312,plain,(
0.06/0.30	  spl1_38 | ~spl1_4),
0.06/0.30	  inference(avatar_split_clause,[],[f291,f104,f310])).
0.06/0.30	tff(f336,plain,(
0.06/0.30	  ~$less(sK0,$ceiling(sK0)) | ~spl1_20),
0.06/0.30	  inference(superposition,[],[f26,f205])).
0.06/0.30	tff(f337,plain,(
0.06/0.30	  $less(sK0,$sum($ceiling(sK0),1.0)) | ~spl1_20),
0.06/0.30	  inference(superposition,[],[f27,f205])).
0.06/0.30	tff(f368,plain,(
0.06/0.30	  ~spl1_7 | ~spl1_20),
0.06/0.30	  inference(avatar_split_clause,[],[f336,f204,f127])).
0.06/0.30	tff(f369,plain,(
0.06/0.30	  $less(sK0,$sum(1.0,$ceiling(sK0))) | ~spl1_20),
0.06/0.30	  inference(forward_demodulation,[],[f337,f15])).
0.06/0.30	tff(f374,plain,(
0.06/0.30	  spl1_40 <=> $less(sK0,$sum(1.0,$ceiling(sK0)))),
0.06/0.30	  introduced(avatar_definition,[new_symbols(naming,[spl1_40])])).
0.06/0.30	tff(f376,plain,(
0.06/0.30	  spl1_40 | ~spl1_20),
0.06/0.30	  inference(avatar_split_clause,[],[f369,f204,f374])).
0.06/0.30	tff(f377,plain,(
0.06/0.30	  $false),
0.06/0.30	  inference(avatar_sat_refutation,[],[f50,f52,f54,f55,f95,f96,f98,f106,f108,f111,f113,f114,f116,f119,f121,f123,f132,f133,f145,f153,f165,f172,f173,f191,f199,f212,f233,f245,f252,f253,f264,f277,f305,f312,f368,f376])).
0.06/0.30	% SZS output end Proof for theBenchmark
0.06/0.30	% ------------------------------
0.06/0.30	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.06/0.30	% Termination reason: Refutation
0.06/0.30	
0.06/0.30	% Memory used [KB]: 5245
0.06/0.30	% Time elapsed: 0.041 s
0.06/0.30	% ------------------------------
0.06/0.30	% ------------------------------
0.06/0.30	% Success in time 0.075 s
0.06/0.30	EOF