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
0.03/0.23	% Computer   : n136.star.cs.uiowa.edu
0.03/0.23	% Model      : x86_64 x86_64
0.03/0.23	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.23	% Memory     : 32218.625MB
0.03/0.23	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.23	% CPULimit   : 300
0.03/0.23	% DateTime   : Sat Jul 14 05:36:55 CDT 2018
0.03/0.23	% CPUTime    : 
0.03/0.27	% 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
0.07/0.52	% Refutation found. Thanks to Tanya!
0.07/0.52	% SZS status Theorem for theBenchmark
0.07/0.52	% SZS output start Proof for theBenchmark
0.07/0.52	tff(func_def_0, type, x: $real).
0.07/0.52	tff(f1,conjecture,(
0.07/0.52	  $greater($quotient(1.0,$sum($product(-1.0,x),1.0)),$quotient(1.0,$sum($product(-1.0,$product(x,x)),1.0)))),
0.07/0.52	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion)).
0.07/0.52	tff(f2,negated_conjecture,(
0.07/0.52	  ~$greater($quotient(1.0,$sum($product(-1.0,x),1.0)),$quotient(1.0,$sum($product(-1.0,$product(x,x)),1.0)))),
0.07/0.52	  inference(negated_conjecture,[],[f1])).
0.07/0.52	tff(f3,axiom,(
0.07/0.52	  $greater(x,0.0)),
0.07/0.52	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_00)).
0.07/0.52	tff(f4,axiom,(
0.07/0.52	  $less(x,1.0)),
0.07/0.52	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_01)).
0.07/0.52	tff(f5,plain,(
0.07/0.52	  ( ! [X0:$real,X1:$real] : ($sum(X0,X1) = $sum(X1,X0)) )),
0.07/0.52	  introduced(theory_axiom,[])).
0.07/0.52	tff(f7,plain,(
0.07/0.52	  ( ! [X0:$real] : ($sum(X0,0.0) = X0) )),
0.07/0.52	  introduced(theory_axiom,[])).
0.07/0.52	tff(f10,plain,(
0.07/0.52	  ( ! [X0:$real] : (~$less(X0,X0)) )),
0.07/0.52	  introduced(theory_axiom,[])).
0.07/0.52	tff(f15,plain,(
0.07/0.52	  ( ! [X0:$real] : ($uminus($uminus(X0)) = X0) )),
0.07/0.52	  introduced(theory_axiom,[])).
0.07/0.52	tff(f16,plain,(
0.07/0.52	  ( ! [X0:$real,X1:$real] : ($product(X0,X1) = $product(X1,X0)) )),
0.07/0.52	  introduced(theory_axiom,[])).
0.07/0.52	tff(f18,plain,(
0.07/0.52	  ( ! [X0:$real] : ($product(X0,1.0) = X0) )),
0.07/0.52	  introduced(theory_axiom,[])).
0.07/0.52	tff(f24,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum($product(-1.0,$product(x,x)),1.0)),$quotient(1.0,$sum($product(-1.0,x),1.0)))),
0.07/0.52	  inference(evaluation,[],[f2])).
0.07/0.52	tff(f25,plain,(
0.07/0.52	  $less(0.0,x)),
0.07/0.52	  inference(evaluation,[],[f3])).
0.07/0.52	tff(f26,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum($product(-1.0,$product(x,x)),1.0)),$quotient(1.0,$sum($product(-1.0,x),1.0)))),
0.07/0.52	  inference(flattening,[],[f24])).
0.07/0.52	tff(f27,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum($product(-1.0,$product(x,x)),1.0)),$quotient(1.0,$sum($product(-1.0,x),1.0)))),
0.07/0.52	  inference(cnf_transformation,[],[f26])).
0.07/0.52	tff(f28,plain,(
0.07/0.52	  $less(x,1.0)),
0.07/0.52	  inference(cnf_transformation,[],[f4])).
0.07/0.52	tff(f29,plain,(
0.07/0.52	  $less(0.0,x)),
0.07/0.52	  inference(cnf_transformation,[],[f25])).
0.07/0.52	tff(f30,plain,(
0.07/0.52	  ( ! [X2:$real,X3:$real,X1:$real] : (x != X1 | x != X2 | x != X3 | ~$less($quotient(1.0,$sum($product(-1.0,$product(X1,X2)),1.0)),$quotient(1.0,$sum($product(-1.0,X3),1.0)))) )),
0.07/0.52	  inference(theory_flattening,[],[f27])).
0.07/0.52	tff(f31,plain,(
0.07/0.52	  ( ! [X1:$real] : ($less(X1,1.0) | x != X1) )),
0.07/0.52	  inference(theory_flattening,[],[f28])).
0.07/0.52	tff(f32,plain,(
0.07/0.52	  ( ! [X1:$real] : ($less(0.0,X1) | x != X1) )),
0.07/0.52	  inference(theory_flattening,[],[f29])).
0.07/0.52	tff(f33,plain,(
0.07/0.52	  ( ! [X2:$real,X3:$real,X1:$real] : (~$less($quotient(1.0,$sum($product(-1.0,$product(X1,X2)),1.0)),$quotient(1.0,$sum(1.0,$product(-1.0,X3)))) | x != X1 | x != X2 | x != X3) )),
0.07/0.52	  inference(forward_demodulation,[],[f30,f5])).
0.07/0.52	tff(f34,plain,(
0.07/0.52	  ( ! [X2:$real,X3:$real,X1:$real] : (x != X3 | x != X1 | x != X2 | ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(X1,X2)))),$quotient(1.0,$sum(1.0,$product(-1.0,X3))))) )),
0.07/0.52	  inference(forward_demodulation,[],[f33,f5])).
0.07/0.52	tff(f35,plain,(
0.07/0.52	  $less($product(x,1.0),1.0)),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f31])).
0.07/0.52	tff(f36,plain,(
0.07/0.52	  $less($uminus($uminus(x)),1.0)),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f31])).
0.07/0.52	tff(f37,plain,(
0.07/0.52	  $less($sum(x,0.0),1.0)),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f31])).
0.07/0.52	tff(f38,plain,(
0.07/0.52	  x != 1.0),
0.07/0.52	  inference(unit_resulting_resolution,[],[f10,f31])).
0.07/0.52	tff(f40,plain,(
0.07/0.52	  x != 1.0),
0.07/0.52	  inference(resolution,[],[f31,f10])).
0.07/0.52	tff(f41,plain,(
0.07/0.52	  $less(x,1.0)),
0.07/0.52	  inference(evaluation,[],[f35])).
0.07/0.52	tff(f42,plain,(
0.07/0.52	  $less(x,1.0)),
0.07/0.52	  inference(evaluation,[],[f37])).
0.07/0.52	tff(f47,plain,(
0.07/0.52	  spl0_1 <=> x != 1.0),
0.07/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.07/0.52	tff(f49,plain,(
0.07/0.52	  ~spl0_1),
0.07/0.52	  inference(avatar_split_clause,[],[f38,f47])).
0.07/0.52	tff(f54,plain,(
0.07/0.52	  spl0_2 <=> $less(x,1.0)),
0.07/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.07/0.52	tff(f56,plain,(
0.07/0.52	  spl0_2),
0.07/0.52	  inference(avatar_split_clause,[],[f42,f54])).
0.07/0.52	tff(f57,plain,(
0.07/0.52	  $less(x,1.0)),
0.07/0.52	  inference(forward_demodulation,[],[f36,f15])).
0.07/0.52	tff(f58,plain,(
0.07/0.52	  spl0_2),
0.07/0.52	  inference(avatar_split_clause,[],[f57,f54])).
0.07/0.52	tff(f59,plain,(
0.07/0.52	  spl0_2),
0.07/0.52	  inference(avatar_split_clause,[],[f41,f54])).
0.07/0.52	tff(f60,plain,(
0.07/0.52	  ~spl0_1),
0.07/0.52	  inference(avatar_split_clause,[],[f40,f47])).
0.07/0.52	tff(f61,plain,(
0.07/0.52	  $less(0.0,$product(x,1.0))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f32])).
0.07/0.52	tff(f62,plain,(
0.07/0.52	  $less(0.0,$uminus($uminus(x)))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f32])).
0.07/0.52	tff(f63,plain,(
0.07/0.52	  $less(0.0,$sum(x,0.0))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f32])).
0.07/0.52	tff(f64,plain,(
0.07/0.52	  x != 0.0),
0.07/0.52	  inference(unit_resulting_resolution,[],[f10,f32])).
0.07/0.52	tff(f66,plain,(
0.07/0.52	  x != 0.0),
0.07/0.52	  inference(resolution,[],[f32,f10])).
0.07/0.52	tff(f70,plain,(
0.07/0.52	  $less(0.0,x)),
0.07/0.52	  inference(evaluation,[],[f61])).
0.07/0.52	tff(f71,plain,(
0.07/0.52	  $less(0.0,x)),
0.07/0.52	  inference(evaluation,[],[f63])).
0.07/0.52	tff(f76,plain,(
0.07/0.52	  spl0_5 <=> x != 0.0),
0.07/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl0_5])])).
0.07/0.52	tff(f78,plain,(
0.07/0.52	  ~spl0_5),
0.07/0.52	  inference(avatar_split_clause,[],[f64,f76])).
0.07/0.52	tff(f83,plain,(
0.07/0.52	  spl0_6 <=> $less(0.0,x)),
0.07/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
0.07/0.52	tff(f85,plain,(
0.07/0.52	  spl0_6),
0.07/0.52	  inference(avatar_split_clause,[],[f71,f83])).
0.07/0.52	tff(f86,plain,(
0.07/0.52	  $less(0.0,x)),
0.07/0.52	  inference(forward_demodulation,[],[f62,f15])).
0.07/0.52	tff(f87,plain,(
0.07/0.52	  spl0_6),
0.07/0.52	  inference(avatar_split_clause,[],[f86,f83])).
0.07/0.52	tff(f88,plain,(
0.07/0.52	  spl0_6),
0.07/0.52	  inference(avatar_split_clause,[],[f70,f83])).
0.07/0.52	tff(f89,plain,(
0.07/0.52	  ~spl0_5),
0.07/0.52	  inference(avatar_split_clause,[],[f66,f76])).
0.07/0.52	tff(f90,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($product(x,1.0),$product(x,1.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$product(x,1.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f18,f18,f34])).
0.07/0.52	tff(f91,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($product(x,1.0),$product(x,1.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f18,f18,f34])).
0.07/0.52	tff(f92,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($product(x,1.0),$product(x,1.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$sum(x,0.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f18,f18,f34])).
0.07/0.52	tff(f93,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($product(x,1.0),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$product(x,1.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f15,f18,f34])).
0.07/0.52	tff(f94,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($product(x,1.0),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f15,f18,f34])).
0.07/0.52	tff(f95,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($product(x,1.0),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$sum(x,0.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f15,f18,f34])).
0.07/0.52	tff(f96,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($product(x,1.0),$sum(x,0.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$product(x,1.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f7,f18,f34])).
0.07/0.52	tff(f97,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($product(x,1.0),$sum(x,0.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f7,f18,f34])).
0.07/0.52	tff(f98,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($product(x,1.0),$sum(x,0.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$sum(x,0.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f7,f18,f34])).
0.07/0.52	tff(f99,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$product(x,1.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$product(x,1.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f18,f15,f34])).
0.07/0.52	tff(f100,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$product(x,1.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f18,f15,f34])).
0.07/0.52	tff(f101,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$product(x,1.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$sum(x,0.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f18,f15,f34])).
0.07/0.52	tff(f102,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$product(x,1.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f15,f15,f34])).
0.07/0.52	tff(f103,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f15,f15,f34])).
0.07/0.52	tff(f104,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$sum(x,0.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f15,f15,f34])).
0.07/0.52	tff(f105,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$sum(x,0.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$product(x,1.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f7,f15,f34])).
0.07/0.52	tff(f106,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$sum(x,0.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f7,f15,f34])).
0.07/0.52	tff(f107,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$sum(x,0.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$sum(x,0.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f7,f15,f34])).
0.07/0.52	tff(f108,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($sum(x,0.0),$product(x,1.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$product(x,1.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f18,f7,f34])).
0.07/0.52	tff(f109,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($sum(x,0.0),$product(x,1.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f18,f7,f34])).
0.07/0.52	tff(f110,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($sum(x,0.0),$product(x,1.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$sum(x,0.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f18,f7,f34])).
0.07/0.52	tff(f111,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($sum(x,0.0),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$product(x,1.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f15,f7,f34])).
0.07/0.52	tff(f112,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($sum(x,0.0),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f15,f7,f34])).
0.07/0.52	tff(f113,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($sum(x,0.0),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$sum(x,0.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f15,f7,f34])).
0.07/0.52	tff(f114,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($sum(x,0.0),$sum(x,0.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$product(x,1.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f18,f7,f7,f34])).
0.07/0.52	tff(f115,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($sum(x,0.0),$sum(x,0.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f15,f7,f7,f34])).
0.07/0.52	tff(f116,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($sum(x,0.0),$sum(x,0.0))))),$quotient(1.0,$sum(1.0,$product(-1.0,$sum(x,0.0)))))),
0.07/0.52	  inference(unit_resulting_resolution,[],[f7,f7,f7,f34])).
0.07/0.52	tff(f118,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f90])).
0.07/0.52	tff(f119,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(evaluation,[],[f91])).
0.07/0.52	tff(f120,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f92])).
0.07/0.52	tff(f121,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f93])).
0.07/0.52	tff(f122,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(evaluation,[],[f94])).
0.07/0.52	tff(f123,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f95])).
0.07/0.52	tff(f124,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f96])).
0.07/0.52	tff(f125,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(evaluation,[],[f97])).
0.07/0.52	tff(f126,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f98])).
0.07/0.52	tff(f127,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f99])).
0.07/0.52	tff(f128,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),x)))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(evaluation,[],[f100])).
0.07/0.52	tff(f129,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f101])).
0.07/0.52	tff(f130,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f102])).
0.07/0.52	tff(f131,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f104])).
0.07/0.52	tff(f132,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f105])).
0.07/0.52	tff(f133,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),x)))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(evaluation,[],[f106])).
0.07/0.52	tff(f134,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product($uminus($uminus(x)),x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f107])).
0.07/0.52	tff(f135,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f108])).
0.07/0.52	tff(f136,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(evaluation,[],[f109])).
0.07/0.52	tff(f137,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f110])).
0.07/0.52	tff(f138,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f111])).
0.07/0.52	tff(f139,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(evaluation,[],[f112])).
0.07/0.52	tff(f140,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f113])).
0.07/0.52	tff(f141,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f114])).
0.07/0.52	tff(f142,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,$uminus($uminus(x))))))),
0.07/0.52	  inference(evaluation,[],[f115])).
0.07/0.52	tff(f143,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(evaluation,[],[f116])).
0.07/0.52	tff(f148,plain,(
0.07/0.52	  spl0_9 <=> ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  introduced(avatar_definition,[new_symbols(naming,[spl0_9])])).
0.07/0.52	tff(f150,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f143,f148])).
0.07/0.52	tff(f151,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f142,f15])).
0.07/0.52	tff(f152,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f151,f148])).
0.07/0.52	tff(f153,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f141,f148])).
0.07/0.52	tff(f154,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f140,f15])).
0.07/0.52	tff(f155,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f154,f148])).
0.07/0.52	tff(f156,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f139,f15])).
0.07/0.52	tff(f157,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f156,f148])).
0.07/0.52	tff(f158,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f138,f15])).
0.07/0.52	tff(f159,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f158,f148])).
0.07/0.52	tff(f160,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f137,f148])).
0.07/0.52	tff(f161,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f136,f15])).
0.07/0.52	tff(f162,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f161,f148])).
0.07/0.52	tff(f163,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f135,f148])).
0.07/0.52	tff(f164,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f134,f16])).
0.07/0.52	tff(f165,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f164,f15])).
0.07/0.52	tff(f166,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f165,f148])).
0.07/0.52	tff(f167,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f133,f15])).
0.07/0.52	tff(f168,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f167,f148])).
0.07/0.52	tff(f169,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f132,f16])).
0.07/0.52	tff(f170,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f169,f15])).
0.07/0.52	tff(f171,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f170,f148])).
0.07/0.52	tff(f172,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f131,f15])).
0.07/0.52	tff(f173,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f172,f148])).
0.07/0.52	tff(f174,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f103,f15])).
0.07/0.52	tff(f175,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f174,f148])).
0.07/0.52	tff(f176,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f130,f15])).
0.07/0.52	tff(f177,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f176,f148])).
0.07/0.52	tff(f178,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f129,f16])).
0.07/0.52	tff(f179,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f178,f15])).
0.07/0.52	tff(f180,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f179,f148])).
0.07/0.52	tff(f181,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f128,f15])).
0.07/0.52	tff(f182,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f181,f148])).
0.07/0.52	tff(f183,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,$uminus($uminus(x)))))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f127,f16])).
0.07/0.52	tff(f184,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f183,f15])).
0.07/0.52	tff(f185,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f184,f148])).
0.07/0.52	tff(f186,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f126,f148])).
0.07/0.52	tff(f187,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f125,f15])).
0.07/0.52	tff(f188,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f187,f148])).
0.07/0.52	tff(f189,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f124,f148])).
0.07/0.52	tff(f190,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f123,f15])).
0.07/0.52	tff(f191,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f190,f148])).
0.07/0.52	tff(f192,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f122,f15])).
0.07/0.52	tff(f193,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f192,f148])).
0.07/0.52	tff(f194,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f121,f15])).
0.07/0.52	tff(f195,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f194,f148])).
0.07/0.52	tff(f196,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f120,f148])).
0.07/0.52	tff(f197,plain,(
0.07/0.52	  ~$less($quotient(1.0,$sum(1.0,$product(-1.0,$product(x,x)))),$quotient(1.0,$sum(1.0,$product(-1.0,x))))),
0.07/0.52	  inference(forward_demodulation,[],[f119,f15])).
0.07/0.52	tff(f198,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f197,f148])).
0.07/0.52	tff(f199,plain,(
0.07/0.52	  ~spl0_9),
0.07/0.52	  inference(avatar_split_clause,[],[f118,f148])).
0.07/0.52	tff(f200,plain,(
0.07/0.52	  $false),
0.07/0.52	  inference(avatar_sat_refutation,[],[f49,f56,f58,f59,f60,f78,f85,f87,f88,f89,f150,f152,f153,f155,f157,f159,f160,f162,f163,f166,f168,f171,f173,f175,f177,f180,f182,f185,f186,f188,f189,f191,f193,f195,f196,f198,f199])).
0.07/0.52	% SZS output end Proof for theBenchmark
0.07/0.52	% ------------------------------
0.07/0.52	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.07/0.52	% Termination reason: Refutation
0.07/0.52	
0.07/0.52	% Memory used [KB]: 5117
0.07/0.52	% Time elapsed: 0.248 s
0.07/0.52	% ------------------------------
0.07/0.52	% ------------------------------
0.07/0.52	% Success in time 0.282 s
0.07/0.52	EOF