0.00/0.04	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : vampire --mode casc -t %d %s
0.03/0.24	% Computer   : n185.star.cs.uiowa.edu
0.03/0.24	% Model      : x86_64 x86_64
0.03/0.24	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.24	% Memory     : 32218.625MB
0.03/0.24	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.24	% CPULimit   : 300
0.03/0.24	% DateTime   : Sat Jul 14 05:36:40 CDT 2018
0.03/0.24	% 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
0.07/0.31	% Refutation found. Thanks to Tanya!
0.07/0.31	% SZS status Theorem for theBenchmark
0.07/0.31	% SZS output start Proof for theBenchmark
0.07/0.31	tff(func_def_0, type, x: $real).
0.07/0.31	tff(func_def_1, type, y: $real).
0.07/0.31	tff(func_def_2, type, u: $real).
0.07/0.31	tff(func_def_3, type, v: $real).
0.07/0.31	tff(func_def_4, type, f: $real > $real).
0.07/0.31	tff(f1,axiom,(
0.07/0.31	  $lesseq(x,y)),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis_01)).
0.07/0.31	tff(f2,axiom,(
0.07/0.31	  ! [X0 : $real,X1 : $real] : ($greatereq(X0,X1) => $greatereq(f(X0),f(X1)))),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f_non_decreasing)).
0.07/0.31	tff(f3,conjecture,(
0.07/0.31	  $less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion)).
0.07/0.31	tff(f4,negated_conjecture,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.31	  inference(negated_conjecture,[],[f3])).
0.07/0.31	tff(f5,axiom,(
0.07/0.31	  $less(u,v)),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',hypothesis)).
0.07/0.31	tff(f6,plain,(
0.07/0.31	  ( ! [X0:$real,X1:$real] : ($sum(X0,X1) = $sum(X1,X0)) )),
0.07/0.31	  introduced(theory_axiom,[])).
0.07/0.31	tff(f8,plain,(
0.07/0.31	  ( ! [X0:$real] : ($sum(X0,0.0) = X0) )),
0.07/0.31	  introduced(theory_axiom,[])).
0.07/0.31	tff(f9,plain,(
0.07/0.31	  ( ! [X0:$real,X1:$real] : ($sum($uminus(X1),$uminus(X0)) = $uminus($sum(X0,X1))) )),
0.07/0.31	  introduced(theory_axiom,[])).
0.07/0.31	tff(f11,plain,(
0.07/0.31	  ( ! [X0:$real] : (~$less(X0,X0)) )),
0.07/0.31	  introduced(theory_axiom,[])).
0.07/0.31	tff(f13,plain,(
0.07/0.31	  ( ! [X0:$real,X1:$real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
0.07/0.31	  introduced(theory_axiom,[])).
0.07/0.31	tff(f15,plain,(
0.07/0.31	  ( ! [X0:$real,X1:$real] : ($less(X1,$sum(X0,1.0)) | $less(X0,X1)) )),
0.07/0.31	  introduced(theory_axiom,[])).
0.07/0.31	tff(f16,plain,(
0.07/0.31	  ( ! [X0:$real] : ($uminus($uminus(X0)) = X0) )),
0.07/0.31	  introduced(theory_axiom,[])).
0.07/0.31	tff(f17,plain,(
0.07/0.31	  ~$less(y,x)),
0.07/0.31	  inference(evaluation,[],[f1])).
0.07/0.31	tff(f18,plain,(
0.07/0.31	  ! [X0 : $real,X1 : $real] : (~$less(X0,X1) => ~$less(f(X0),f(X1)))),
0.07/0.31	  inference(evaluation,[],[f2])).
0.07/0.31	tff(f19,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.31	  inference(flattening,[],[f4])).
0.07/0.31	tff(f20,plain,(
0.07/0.31	  ! [X0 : $real,X1 : $real] : (~$less(f(X0),f(X1)) | $less(X0,X1))),
0.07/0.31	  inference(ennf_transformation,[],[f18])).
0.07/0.31	tff(f21,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.31	  inference(cnf_transformation,[],[f19])).
0.07/0.31	tff(f22,plain,(
0.07/0.31	  ~$less(y,x)),
0.07/0.31	  inference(cnf_transformation,[],[f17])).
0.07/0.31	tff(f23,plain,(
0.07/0.31	  $less(u,v)),
0.07/0.31	  inference(cnf_transformation,[],[f5])).
0.07/0.31	tff(f24,plain,(
0.07/0.31	  ( ! [X0:$real,X1:$real] : (~$less(f(X0),f(X1)) | $less(X0,X1)) )),
0.07/0.31	  inference(cnf_transformation,[],[f20])).
0.07/0.31	tff(f25,plain,(
0.07/0.31	  ( ! [X4:$real,X2:$real,X3:$real,X1:$real] : (f(y) != X4 | f(x) != X2 | v != X3 | u != X1 | ~$less($sum(X1,X2),$sum(X3,X4))) )),
0.07/0.31	  inference(theory_flattening,[],[f21])).
0.07/0.31	tff(f26,plain,(
0.07/0.31	  ( ! [X2:$real,X1:$real] : (y != X1 | x != X2 | ~$less(X1,X2)) )),
0.07/0.31	  inference(theory_flattening,[],[f22])).
0.07/0.31	tff(f27,plain,(
0.07/0.31	  ( ! [X2:$real,X1:$real] : ($less(X1,X2) | v != X2 | u != X1) )),
0.07/0.31	  inference(theory_flattening,[],[f23])).
0.07/0.31	tff(f28,plain,(
0.07/0.31	  ( ! [X2:$real,X0:$real,X3:$real,X1:$real] : ($less(X0,X1) | f(X1) != X3 | ~$less(X2,X3) | f(X0) != X2) )),
0.07/0.31	  inference(theory_flattening,[],[f24])).
0.07/0.31	tff(f29,plain,(
0.07/0.31	  ~$less($uminus($uminus(y)),$uminus($uminus(x)))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f16,f26])).
0.07/0.31	tff(f30,plain,(
0.07/0.31	  ~$less($uminus($uminus(y)),$sum(x,0.0))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f16,f26])).
0.07/0.31	tff(f31,plain,(
0.07/0.31	  ~$less($sum(y,0.0),$uminus($uminus(x)))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f8,f26])).
0.07/0.31	tff(f32,plain,(
0.07/0.31	  ~$less($sum(y,0.0),$sum(x,0.0))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f8,f26])).
0.07/0.31	tff(f34,plain,(
0.07/0.31	  ~$less($uminus($uminus(y)),x)),
0.07/0.31	  inference(evaluation,[],[f30])).
0.07/0.31	tff(f35,plain,(
0.07/0.31	  ~$less(y,$uminus($uminus(x)))),
0.07/0.31	  inference(evaluation,[],[f31])).
0.07/0.31	tff(f36,plain,(
0.07/0.31	  ~$less(y,x)),
0.07/0.31	  inference(evaluation,[],[f32])).
0.07/0.31	tff(f41,plain,(
0.07/0.31	  spl0_1 <=> ~$less(y,x)),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.07/0.31	tff(f42,plain,(
0.07/0.31	  ~$less(y,x) | ~spl0_1),
0.07/0.31	  inference(avatar_component_clause,[],[f41])).
0.07/0.31	tff(f43,plain,(
0.07/0.31	  ~spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f36,f41])).
0.07/0.31	tff(f44,plain,(
0.07/0.31	  ~$less(y,x)),
0.07/0.31	  inference(forward_demodulation,[],[f35,f16])).
0.07/0.31	tff(f45,plain,(
0.07/0.31	  ~spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f44,f41])).
0.07/0.31	tff(f46,plain,(
0.07/0.31	  ~$less(y,x)),
0.07/0.31	  inference(forward_demodulation,[],[f34,f16])).
0.07/0.31	tff(f47,plain,(
0.07/0.31	  ~spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f46,f41])).
0.07/0.31	tff(f48,plain,(
0.07/0.31	  ~$less($uminus($uminus(y)),x)),
0.07/0.31	  inference(forward_demodulation,[],[f29,f16])).
0.07/0.31	tff(f49,plain,(
0.07/0.31	  ~$less(y,x)),
0.07/0.31	  inference(forward_demodulation,[],[f48,f16])).
0.07/0.31	tff(f50,plain,(
0.07/0.31	  ~spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f49,f41])).
0.07/0.31	tff(f51,plain,(
0.07/0.31	  $less(x,$sum(y,1.0)) | ~spl0_1),
0.07/0.31	  inference(unit_resulting_resolution,[],[f42,f15])).
0.07/0.31	tff(f52,plain,(
0.07/0.31	  ~$less($uminus($uminus(f(y))),$uminus($uminus(f(x)))) | ~spl0_1),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f16,f42,f28])).
0.07/0.31	tff(f53,plain,(
0.07/0.31	  ~$less($sum(f(y),0.0),$uminus($uminus(f(x)))) | ~spl0_1),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f16,f42,f28])).
0.07/0.31	tff(f54,plain,(
0.07/0.31	  ~$less($uminus($uminus(f(y))),$sum(f(x),0.0)) | ~spl0_1),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f8,f42,f28])).
0.07/0.31	tff(f55,plain,(
0.07/0.31	  ~$less($sum(f(y),0.0),$sum(f(x),0.0)) | ~spl0_1),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f8,f42,f28])).
0.07/0.31	tff(f57,plain,(
0.07/0.31	  $less(x,y) | x = y | ~spl0_1),
0.07/0.31	  inference(resolution,[],[f42,f13])).
0.07/0.31	tff(f59,plain,(
0.07/0.31	  ~$less(f(y),$uminus($uminus(f(x)))) | ~spl0_1),
0.07/0.31	  inference(evaluation,[],[f53])).
0.07/0.31	tff(f60,plain,(
0.07/0.31	  ~$less($uminus($uminus(f(y))),f(x)) | ~spl0_1),
0.07/0.31	  inference(evaluation,[],[f54])).
0.07/0.31	tff(f61,plain,(
0.07/0.31	  ~$less(f(y),f(x)) | ~spl0_1),
0.07/0.31	  inference(evaluation,[],[f55])).
0.07/0.31	tff(f66,plain,(
0.07/0.31	  spl0_3 <=> ~$less(f(y),f(x))),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_3])])).
0.07/0.31	tff(f68,plain,(
0.07/0.31	  ~spl0_3 | spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f61,f41,f66])).
0.07/0.31	tff(f69,plain,(
0.07/0.31	  ~$less(f(y),f(x)) | ~spl0_1),
0.07/0.31	  inference(forward_demodulation,[],[f60,f16])).
0.07/0.31	tff(f70,plain,(
0.07/0.31	  ~spl0_3 | spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f69,f41,f66])).
0.07/0.31	tff(f71,plain,(
0.07/0.31	  ~$less(f(y),f(x)) | ~spl0_1),
0.07/0.31	  inference(forward_demodulation,[],[f59,f16])).
0.07/0.31	tff(f72,plain,(
0.07/0.31	  ~spl0_3 | spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f71,f41,f66])).
0.07/0.31	tff(f73,plain,(
0.07/0.31	  ~$less($uminus($uminus(f(y))),f(x)) | ~spl0_1),
0.07/0.31	  inference(forward_demodulation,[],[f52,f16])).
0.07/0.31	tff(f74,plain,(
0.07/0.31	  ~$less(f(y),f(x)) | ~spl0_1),
0.07/0.31	  inference(forward_demodulation,[],[f73,f16])).
0.07/0.31	tff(f75,plain,(
0.07/0.31	  ~spl0_3 | spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f74,f41,f66])).
0.07/0.31	tff(f76,plain,(
0.07/0.31	  $less(x,$sum(1.0,y)) | ~spl0_1),
0.07/0.31	  inference(forward_demodulation,[],[f51,f6])).
0.07/0.31	tff(f81,plain,(
0.07/0.31	  spl0_4 <=> $less(x,$sum(1.0,y))),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
0.07/0.31	tff(f82,plain,(
0.07/0.31	  $less(x,$sum(1.0,y)) | ~spl0_4),
0.07/0.31	  inference(avatar_component_clause,[],[f81])).
0.07/0.31	tff(f83,plain,(
0.07/0.31	  spl0_4 | spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f76,f41,f81])).
0.07/0.31	tff(f88,plain,(
0.07/0.31	  spl0_6 <=> x = y),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
0.07/0.31	tff(f89,plain,(
0.07/0.31	  x = y | ~spl0_6),
0.07/0.31	  inference(avatar_component_clause,[],[f88])).
0.07/0.31	tff(f94,plain,(
0.07/0.31	  spl0_8 <=> $less(x,y)),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
0.07/0.31	tff(f96,plain,(
0.07/0.31	  spl0_6 | spl0_8 | spl0_1),
0.07/0.31	  inference(avatar_split_clause,[],[f57,f41,f94,f88])).
0.07/0.31	tff(f97,plain,(
0.07/0.31	  ( ! [X4:$real,X2:$real,X3:$real,X1:$real] : (f(x) != X4 | u != X1 | f(x) != X2 | v != X3 | ~$less($sum(X1,X2),$sum(X3,X4))) ) | ~spl0_6),
0.07/0.31	  inference(backward_demodulation,[],[f89,f25])).
0.07/0.31	tff(f104,plain,(
0.07/0.31	  $less(x,$sum(1.0,x)) | (~spl0_4 | ~spl0_6)),
0.07/0.31	  inference(forward_demodulation,[],[f82,f89])).
0.07/0.31	tff(f109,plain,(
0.07/0.31	  spl0_10 <=> $less(x,$sum(1.0,x))),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
0.07/0.31	tff(f111,plain,(
0.07/0.31	  spl0_10 | ~spl0_4 | ~spl0_6),
0.07/0.31	  inference(avatar_split_clause,[],[f104,f88,f81,f109])).
0.07/0.31	tff(f113,plain,(
0.07/0.31	  v != $uminus($uminus(u))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f11,f16,f27])).
0.07/0.31	tff(f114,plain,(
0.07/0.31	  v != $sum(u,0.0)),
0.07/0.31	  inference(unit_resulting_resolution,[],[f11,f8,f27])).
0.07/0.31	tff(f115,plain,(
0.07/0.31	  $less($uminus($uminus(u)),$uminus($uminus(v)))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f16,f27])).
0.07/0.31	tff(f116,plain,(
0.07/0.31	  $less($sum(u,0.0),$uminus($uminus(v)))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f16,f27])).
0.07/0.31	tff(f117,plain,(
0.07/0.31	  u != $uminus($uminus(v))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f11,f16,f27])).
0.07/0.31	tff(f118,plain,(
0.07/0.31	  $less($uminus($uminus(u)),$sum(v,0.0))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f8,f27])).
0.07/0.31	tff(f119,plain,(
0.07/0.31	  $less($sum(u,0.0),$sum(v,0.0))),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f8,f27])).
0.07/0.31	tff(f120,plain,(
0.07/0.31	  u != $sum(v,0.0)),
0.07/0.31	  inference(unit_resulting_resolution,[],[f11,f8,f27])).
0.07/0.31	tff(f122,plain,(
0.07/0.31	  u != v),
0.07/0.31	  inference(evaluation,[],[f114])).
0.07/0.31	tff(f123,plain,(
0.07/0.31	  $less(u,$uminus($uminus(v)))),
0.07/0.31	  inference(evaluation,[],[f116])).
0.07/0.31	tff(f124,plain,(
0.07/0.31	  $less($uminus($uminus(u)),v)),
0.07/0.31	  inference(evaluation,[],[f118])).
0.07/0.31	tff(f125,plain,(
0.07/0.31	  $less(u,v)),
0.07/0.31	  inference(evaluation,[],[f119])).
0.07/0.31	tff(f126,plain,(
0.07/0.31	  u != v),
0.07/0.31	  inference(evaluation,[],[f120])).
0.07/0.31	tff(f131,plain,(
0.07/0.31	  spl0_13 <=> u != v),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_13])])).
0.07/0.31	tff(f133,plain,(
0.07/0.31	  ~spl0_13),
0.07/0.31	  inference(avatar_split_clause,[],[f126,f131])).
0.07/0.31	tff(f138,plain,(
0.07/0.31	  spl0_14 <=> $less(u,v)),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
0.07/0.31	tff(f140,plain,(
0.07/0.31	  spl0_14),
0.07/0.31	  inference(avatar_split_clause,[],[f125,f138])).
0.07/0.31	tff(f141,plain,(
0.07/0.31	  $less(u,v)),
0.07/0.31	  inference(forward_demodulation,[],[f124,f16])).
0.07/0.31	tff(f142,plain,(
0.07/0.31	  spl0_14),
0.07/0.31	  inference(avatar_split_clause,[],[f141,f138])).
0.07/0.31	tff(f147,plain,(
0.07/0.31	  spl0_17 <=> u != $uminus($uminus(v))),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_17])])).
0.07/0.31	tff(f149,plain,(
0.07/0.31	  ~spl0_17),
0.07/0.31	  inference(avatar_split_clause,[],[f117,f147])).
0.07/0.31	tff(f150,plain,(
0.07/0.31	  $less(u,v)),
0.07/0.31	  inference(forward_demodulation,[],[f123,f16])).
0.07/0.31	tff(f151,plain,(
0.07/0.31	  spl0_14),
0.07/0.31	  inference(avatar_split_clause,[],[f150,f138])).
0.07/0.31	tff(f152,plain,(
0.07/0.31	  $less($uminus($uminus(u)),v)),
0.07/0.31	  inference(forward_demodulation,[],[f115,f16])).
0.07/0.31	tff(f153,plain,(
0.07/0.31	  $less(u,v)),
0.07/0.31	  inference(forward_demodulation,[],[f152,f16])).
0.07/0.31	tff(f154,plain,(
0.07/0.31	  spl0_14),
0.07/0.31	  inference(avatar_split_clause,[],[f153,f138])).
0.07/0.31	tff(f155,plain,(
0.07/0.31	  ~spl0_13),
0.07/0.31	  inference(avatar_split_clause,[],[f122,f131])).
0.07/0.31	tff(f156,plain,(
0.07/0.31	  u != v),
0.07/0.31	  inference(forward_demodulation,[],[f113,f16])).
0.07/0.31	tff(f157,plain,(
0.07/0.31	  ~spl0_13),
0.07/0.31	  inference(avatar_split_clause,[],[f156,f131])).
0.07/0.31	tff(f168,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f16,f16,f16,f97])).
0.07/0.31	tff(f169,plain,(
0.07/0.31	  ~$less($sum($sum(u,0.0),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f16,f16,f16,f97])).
0.07/0.31	tff(f170,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($sum(v,0.0),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f8,f16,f16,f97])).
0.07/0.31	tff(f171,plain,(
0.07/0.31	  ~$less($sum($sum(u,0.0),$uminus($uminus(f(x)))),$sum($sum(v,0.0),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f8,f16,f16,f97])).
0.07/0.31	tff(f172,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$sum(f(x),0.0)),$sum($uminus($uminus(v)),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f16,f8,f16,f97])).
0.07/0.31	tff(f173,plain,(
0.07/0.31	  ~$less($sum($sum(u,0.0),$sum(f(x),0.0)),$sum($uminus($uminus(v)),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f16,f8,f16,f97])).
0.07/0.31	tff(f174,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$sum(f(x),0.0)),$sum($sum(v,0.0),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f8,f8,f16,f97])).
0.07/0.31	tff(f175,plain,(
0.07/0.31	  ~$less($sum($sum(u,0.0),$sum(f(x),0.0)),$sum($sum(v,0.0),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f8,f8,f16,f97])).
0.07/0.31	tff(f176,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$sum(f(x),0.0))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f16,f16,f8,f97])).
0.07/0.31	tff(f177,plain,(
0.07/0.31	  ~$less($sum($sum(u,0.0),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$sum(f(x),0.0))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f16,f16,f8,f97])).
0.07/0.31	tff(f178,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($sum(v,0.0),$sum(f(x),0.0))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f8,f16,f8,f97])).
0.07/0.31	tff(f179,plain,(
0.07/0.31	  ~$less($sum($sum(u,0.0),$uminus($uminus(f(x)))),$sum($sum(v,0.0),$sum(f(x),0.0))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f8,f16,f8,f97])).
0.07/0.31	tff(f180,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$sum(f(x),0.0)),$sum($uminus($uminus(v)),$sum(f(x),0.0))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f16,f8,f8,f97])).
0.07/0.31	tff(f181,plain,(
0.07/0.31	  ~$less($sum($sum(u,0.0),$sum(f(x),0.0)),$sum($uminus($uminus(v)),$sum(f(x),0.0))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f16,f8,f8,f97])).
0.07/0.31	tff(f182,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$sum(f(x),0.0)),$sum($sum(v,0.0),$sum(f(x),0.0))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f16,f8,f8,f8,f97])).
0.07/0.31	tff(f183,plain,(
0.07/0.31	  ~$less($sum($sum(u,0.0),$sum(f(x),0.0)),$sum($sum(v,0.0),$sum(f(x),0.0))) | ~spl0_6),
0.07/0.31	  inference(unit_resulting_resolution,[],[f8,f8,f8,f8,f97])).
0.07/0.31	tff(f185,plain,(
0.07/0.31	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f169])).
0.07/0.31	tff(f186,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(v,$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f170])).
0.07/0.31	tff(f187,plain,(
0.07/0.31	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(v,$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f171])).
0.07/0.31	tff(f188,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),f(x)),$sum($uminus($uminus(v)),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f172])).
0.07/0.31	tff(f189,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum($uminus($uminus(v)),$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f173])).
0.07/0.31	tff(f190,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f174])).
0.07/0.31	tff(f191,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,$uminus($uminus(f(x))))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f175])).
0.07/0.31	tff(f192,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),f(x))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f176])).
0.07/0.31	tff(f193,plain,(
0.07/0.31	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),f(x))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f177])).
0.07/0.31	tff(f194,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f178])).
0.07/0.31	tff(f195,plain,(
0.07/0.31	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f179])).
0.07/0.31	tff(f196,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),f(x)),$sum($uminus($uminus(v)),f(x))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f180])).
0.07/0.31	tff(f197,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum($uminus($uminus(v)),f(x))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f181])).
0.07/0.31	tff(f198,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f182])).
0.07/0.31	tff(f199,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(evaluation,[],[f183])).
0.07/0.31	tff(f204,plain,(
0.07/0.31	  spl0_19 <=> ~$less($sum(u,f(x)),$sum(v,f(x)))),
0.07/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl0_19])])).
0.07/0.31	tff(f206,plain,(
0.07/0.31	  ~spl0_19 | ~spl0_6),
0.07/0.31	  inference(avatar_split_clause,[],[f199,f88,f204])).
0.07/0.31	tff(f207,plain,(
0.07/0.31	  ~$less($sum(f(x),$uminus($uminus(u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f198,f6])).
0.07/0.31	tff(f208,plain,(
0.07/0.31	  ~$less($sum(f(x),u),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f207,f16])).
0.07/0.31	tff(f209,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f208,f6])).
0.07/0.31	tff(f210,plain,(
0.07/0.31	  ~spl0_19 | ~spl0_6),
0.07/0.31	  inference(avatar_split_clause,[],[f209,f88,f204])).
0.07/0.31	tff(f211,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(f(x),$uminus($uminus(v)))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f197,f6])).
0.07/0.31	tff(f212,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(f(x),v)) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f211,f16])).
0.07/0.31	tff(f213,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f212,f6])).
0.07/0.31	tff(f214,plain,(
0.07/0.31	  ~spl0_19 | ~spl0_6),
0.07/0.31	  inference(avatar_split_clause,[],[f213,f88,f204])).
0.07/0.31	tff(f215,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(f(x),$uminus($uminus(v)))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f196,f6])).
0.07/0.31	tff(f216,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(f(x),v)) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f215,f16])).
0.07/0.31	tff(f217,plain,(
0.07/0.31	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f216,f6])).
0.07/0.31	tff(f218,plain,(
0.07/0.31	  ~$less($sum(f(x),$uminus($uminus(u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f217,f6])).
0.07/0.31	tff(f219,plain,(
0.07/0.31	  ~$less($sum(f(x),u),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f218,f16])).
0.07/0.31	tff(f220,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f219,f6])).
0.07/0.31	tff(f221,plain,(
0.07/0.31	  ~spl0_19 | ~spl0_6),
0.07/0.31	  inference(avatar_split_clause,[],[f220,f88,f204])).
0.07/0.31	tff(f222,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f195,f16])).
0.07/0.31	tff(f223,plain,(
0.07/0.31	  ~spl0_19 | ~spl0_6),
0.07/0.31	  inference(avatar_split_clause,[],[f222,f88,f204])).
0.07/0.31	tff(f224,plain,(
0.07/0.31	  ~$less($uminus($sum($uminus(f(x)),$uminus(u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f194,f9])).
0.07/0.31	tff(f225,plain,(
0.07/0.31	  ~$less($uminus($sum($uminus(u),$uminus(f(x)))),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f224,f6])).
0.07/0.31	tff(f226,plain,(
0.07/0.31	  ~$less($uminus($uminus($sum(f(x),u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f225,f9])).
0.07/0.31	tff(f227,plain,(
0.07/0.31	  ~$less($sum(f(x),u),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f226,f16])).
0.07/0.31	tff(f228,plain,(
0.07/0.31	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f227,f6])).
0.07/0.31	tff(f229,plain,(
0.07/0.31	  ~spl0_19 | ~spl0_6),
0.07/0.31	  inference(avatar_split_clause,[],[f228,f88,f204])).
0.07/0.31	tff(f230,plain,(
0.07/0.31	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(f(x),$uminus($uminus(v)))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f193,f6])).
0.07/0.31	tff(f231,plain,(
0.07/0.31	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(f(x),v)) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f230,f16])).
0.07/0.31	tff(f232,plain,(
0.07/0.31	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(v,f(x))) | ~spl0_6),
0.07/0.31	  inference(forward_demodulation,[],[f231,f6])).
0.07/0.31	tff(f233,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f232,f16])).
0.07/0.32	tff(f234,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f233,f88,f204])).
0.07/0.32	tff(f235,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(f(x),$uminus($uminus(v)))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f192,f6])).
0.07/0.32	tff(f236,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(f(x),v)) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f235,f16])).
0.07/0.32	tff(f237,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f236,f6])).
0.07/0.32	tff(f238,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(f(x)),$uminus(u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f237,f9])).
0.07/0.32	tff(f239,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(u),$uminus(f(x)))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f238,f6])).
0.07/0.32	tff(f240,plain,(
0.07/0.32	  ~$less($uminus($uminus($sum(f(x),u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f239,f9])).
0.07/0.32	tff(f241,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f240,f16])).
0.07/0.32	tff(f242,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f241,f6])).
0.07/0.32	tff(f243,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f242,f88,f204])).
0.07/0.32	tff(f244,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f191,f16])).
0.07/0.32	tff(f245,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f244,f88,f204])).
0.07/0.32	tff(f246,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f190,f16])).
0.07/0.32	tff(f247,plain,(
0.07/0.32	  ~$less($sum(f(x),$uminus($uminus(u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f246,f6])).
0.07/0.32	tff(f248,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f247,f16])).
0.07/0.32	tff(f249,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f248,f6])).
0.07/0.32	tff(f250,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f249,f88,f204])).
0.07/0.32	tff(f251,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$uminus($sum($uminus(f(x)),$uminus(v)))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f189,f9])).
0.07/0.32	tff(f252,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$uminus($sum($uminus(v),$uminus(f(x))))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f251,f6])).
0.07/0.32	tff(f253,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$uminus($uminus($sum(f(x),v)))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f252,f9])).
0.07/0.32	tff(f254,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(f(x),v)) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f253,f16])).
0.07/0.32	tff(f255,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f254,f6])).
0.07/0.32	tff(f256,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f255,f88,f204])).
0.07/0.32	tff(f257,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$uminus($sum($uminus(f(x)),$uminus(v)))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f188,f9])).
0.07/0.32	tff(f258,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$uminus($sum($uminus(v),$uminus(f(x))))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f257,f6])).
0.07/0.32	tff(f259,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$uminus($uminus($sum(f(x),v)))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f258,f9])).
0.07/0.32	tff(f260,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(f(x),v)) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f259,f16])).
0.07/0.32	tff(f261,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f260,f6])).
0.07/0.32	tff(f262,plain,(
0.07/0.32	  ~$less($sum(f(x),$uminus($uminus(u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f261,f6])).
0.07/0.32	tff(f263,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f262,f16])).
0.07/0.32	tff(f264,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f263,f6])).
0.07/0.32	tff(f265,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f264,f88,f204])).
0.07/0.32	tff(f266,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f187,f16])).
0.07/0.32	tff(f267,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f266,f88,f204])).
0.07/0.32	tff(f268,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f186,f16])).
0.07/0.32	tff(f269,plain,(
0.07/0.32	  ~$less($sum(f(x),$uminus($uminus(u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f268,f6])).
0.07/0.32	tff(f270,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f269,f16])).
0.07/0.32	tff(f271,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f270,f6])).
0.07/0.32	tff(f272,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f271,f88,f204])).
0.07/0.32	tff(f273,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$uminus($sum($uminus(f(x)),$uminus(v)))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f185,f9])).
0.07/0.32	tff(f274,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$uminus($sum($uminus(v),$uminus(f(x))))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f273,f6])).
0.07/0.32	tff(f275,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$uminus($uminus($sum(f(x),v)))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f274,f9])).
0.07/0.32	tff(f276,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(f(x),v)) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f275,f16])).
0.07/0.32	tff(f277,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f276,f6])).
0.07/0.32	tff(f278,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f277,f16])).
0.07/0.32	tff(f279,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f278,f88,f204])).
0.07/0.32	tff(f280,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$uminus($sum($uminus(f(x)),$uminus(v)))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f168,f9])).
0.07/0.32	tff(f281,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$uminus($sum($uminus(v),$uminus(f(x))))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f280,f6])).
0.07/0.32	tff(f282,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$uminus($uminus($sum(f(x),v)))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f281,f9])).
0.07/0.32	tff(f283,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(f(x),v)) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f282,f16])).
0.07/0.32	tff(f284,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f283,f6])).
0.07/0.32	tff(f285,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(f(x)),$uminus(u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f284,f9])).
0.07/0.32	tff(f286,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(u),$uminus(f(x)))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f285,f6])).
0.07/0.32	tff(f287,plain,(
0.07/0.32	  ~$less($uminus($uminus($sum(f(x),u))),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f286,f9])).
0.07/0.32	tff(f288,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f287,f16])).
0.07/0.32	tff(f289,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(x))) | ~spl0_6),
0.07/0.32	  inference(forward_demodulation,[],[f288,f6])).
0.07/0.32	tff(f290,plain,(
0.07/0.32	  ~spl0_19 | ~spl0_6),
0.07/0.32	  inference(avatar_split_clause,[],[f289,f88,f204])).
0.07/0.32	tff(f308,plain,(
0.07/0.32	  x != v | y != u | ~spl0_1),
0.07/0.32	  inference(resolution,[],[f42,f27])).
0.07/0.32	tff(f324,plain,(
0.07/0.32	  spl0_21 <=> y != u),
0.07/0.32	  introduced(avatar_definition,[new_symbols(naming,[spl0_21])])).
0.07/0.32	tff(f330,plain,(
0.07/0.32	  spl0_23 <=> x != v),
0.07/0.32	  introduced(avatar_definition,[new_symbols(naming,[spl0_23])])).
0.07/0.32	tff(f332,plain,(
0.07/0.32	  ~spl0_21 | ~spl0_23 | spl0_1),
0.07/0.32	  inference(avatar_split_clause,[],[f308,f41,f330,f324])).
0.07/0.32	tff(f333,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f16,f16,f16,f16,f25])).
0.07/0.32	tff(f334,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($sum(v,0.0),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f8,f16,f16,f16,f25])).
0.07/0.32	tff(f335,plain,(
0.07/0.32	  ~$less($sum($sum(u,0.0),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f16,f8,f16,f16,f25])).
0.07/0.32	tff(f336,plain,(
0.07/0.32	  ~$less($sum($sum(u,0.0),$uminus($uminus(f(x)))),$sum($sum(v,0.0),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f8,f8,f16,f16,f25])).
0.07/0.32	tff(f337,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$sum(f(x),0.0)),$sum($uminus($uminus(v)),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f16,f16,f8,f16,f25])).
0.07/0.32	tff(f338,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$sum(f(x),0.0)),$sum($sum(v,0.0),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f8,f16,f8,f16,f25])).
0.07/0.32	tff(f339,plain,(
0.07/0.32	  ~$less($sum($sum(u,0.0),$sum(f(x),0.0)),$sum($uminus($uminus(v)),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f16,f8,f8,f16,f25])).
0.07/0.32	tff(f340,plain,(
0.07/0.32	  ~$less($sum($sum(u,0.0),$sum(f(x),0.0)),$sum($sum(v,0.0),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f8,f8,f8,f16,f25])).
0.07/0.32	tff(f341,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$sum(f(y),0.0)))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f16,f16,f16,f8,f25])).
0.07/0.32	tff(f342,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($sum(v,0.0),$sum(f(y),0.0)))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f8,f16,f16,f8,f25])).
0.07/0.32	tff(f343,plain,(
0.07/0.32	  ~$less($sum($sum(u,0.0),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$sum(f(y),0.0)))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f16,f8,f16,f8,f25])).
0.07/0.32	tff(f344,plain,(
0.07/0.32	  ~$less($sum($sum(u,0.0),$uminus($uminus(f(x)))),$sum($sum(v,0.0),$sum(f(y),0.0)))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f8,f8,f16,f8,f25])).
0.07/0.32	tff(f345,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$sum(f(x),0.0)),$sum($uminus($uminus(v)),$sum(f(y),0.0)))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f16,f16,f8,f8,f25])).
0.07/0.32	tff(f346,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$sum(f(x),0.0)),$sum($sum(v,0.0),$sum(f(y),0.0)))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f8,f16,f8,f8,f25])).
0.07/0.32	tff(f347,plain,(
0.07/0.32	  ~$less($sum($sum(u,0.0),$sum(f(x),0.0)),$sum($uminus($uminus(v)),$sum(f(y),0.0)))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f16,f8,f8,f8,f25])).
0.07/0.32	tff(f348,plain,(
0.07/0.32	  ~$less($sum($sum(u,0.0),$sum(f(x),0.0)),$sum($sum(v,0.0),$sum(f(y),0.0)))),
0.07/0.32	  inference(unit_resulting_resolution,[],[f8,f8,f8,f8,f25])).
0.07/0.32	tff(f350,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(v,$uminus($uminus(f(y)))))),
0.07/0.32	  inference(evaluation,[],[f334])).
0.07/0.32	tff(f351,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(evaluation,[],[f335])).
0.07/0.32	tff(f352,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(v,$uminus($uminus(f(y)))))),
0.07/0.32	  inference(evaluation,[],[f336])).
0.07/0.32	tff(f353,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum($uminus($uminus(v)),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(evaluation,[],[f337])).
0.07/0.32	tff(f354,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,$uminus($uminus(f(y)))))),
0.07/0.32	  inference(evaluation,[],[f338])).
0.07/0.32	tff(f355,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum($uminus($uminus(v)),$uminus($uminus(f(y)))))),
0.07/0.32	  inference(evaluation,[],[f339])).
0.07/0.32	tff(f356,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,$uminus($uminus(f(y)))))),
0.07/0.32	  inference(evaluation,[],[f340])).
0.07/0.32	tff(f357,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),f(y)))),
0.07/0.32	  inference(evaluation,[],[f341])).
0.07/0.32	tff(f358,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(evaluation,[],[f342])).
0.07/0.32	tff(f359,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum($uminus($uminus(v)),f(y)))),
0.07/0.32	  inference(evaluation,[],[f343])).
0.07/0.32	tff(f360,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(evaluation,[],[f344])).
0.07/0.32	tff(f361,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum($uminus($uminus(v)),f(y)))),
0.07/0.32	  inference(evaluation,[],[f345])).
0.07/0.32	tff(f362,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(evaluation,[],[f346])).
0.07/0.32	tff(f363,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum($uminus($uminus(v)),f(y)))),
0.07/0.32	  inference(evaluation,[],[f347])).
0.07/0.32	tff(f364,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(evaluation,[],[f348])).
0.07/0.32	tff(f369,plain,(
0.07/0.32	  spl0_25 <=> ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  introduced(avatar_definition,[new_symbols(naming,[spl0_25])])).
0.07/0.32	tff(f371,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f364,f369])).
0.07/0.32	tff(f372,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(f(y),$uminus($uminus(v))))),
0.07/0.32	  inference(forward_demodulation,[],[f363,f6])).
0.07/0.32	tff(f373,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(f(y),v))),
0.07/0.32	  inference(forward_demodulation,[],[f372,f16])).
0.07/0.32	tff(f374,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f373,f6])).
0.07/0.32	tff(f375,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f374,f369])).
0.07/0.32	tff(f376,plain,(
0.07/0.32	  ~$less($sum(f(x),$uminus($uminus(u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f362,f6])).
0.07/0.32	tff(f377,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f376,f16])).
0.07/0.32	tff(f378,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f377,f6])).
0.07/0.32	tff(f379,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f378,f369])).
0.07/0.32	tff(f380,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(f(y),$uminus($uminus(v))))),
0.07/0.32	  inference(forward_demodulation,[],[f361,f6])).
0.07/0.32	tff(f381,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(f(y),v))),
0.07/0.32	  inference(forward_demodulation,[],[f380,f16])).
0.07/0.32	tff(f382,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f381,f6])).
0.07/0.32	tff(f383,plain,(
0.07/0.32	  ~$less($sum(f(x),$uminus($uminus(u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f382,f6])).
0.07/0.32	tff(f384,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f383,f16])).
0.07/0.32	tff(f385,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f384,f6])).
0.07/0.32	tff(f386,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f385,f369])).
0.07/0.32	tff(f387,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f360,f16])).
0.07/0.32	tff(f388,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f387,f369])).
0.07/0.32	tff(f389,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(f(y),$uminus($uminus(v))))),
0.07/0.32	  inference(forward_demodulation,[],[f359,f6])).
0.07/0.32	tff(f390,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(f(y),v))),
0.07/0.32	  inference(forward_demodulation,[],[f389,f16])).
0.07/0.32	tff(f391,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f390,f6])).
0.07/0.32	tff(f392,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f391,f16])).
0.07/0.32	tff(f393,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f392,f369])).
0.07/0.32	tff(f394,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(f(x)),$uminus(u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f358,f9])).
0.07/0.32	tff(f395,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(u),$uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f394,f6])).
0.07/0.32	tff(f396,plain,(
0.07/0.32	  ~$less($uminus($uminus($sum(f(x),u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f395,f9])).
0.07/0.32	tff(f397,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f396,f16])).
0.07/0.32	tff(f398,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f397,f6])).
0.07/0.32	tff(f399,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f398,f369])).
0.07/0.32	tff(f400,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(f(y),$uminus($uminus(v))))),
0.07/0.32	  inference(forward_demodulation,[],[f357,f6])).
0.07/0.32	tff(f401,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(f(y),v))),
0.07/0.32	  inference(forward_demodulation,[],[f400,f16])).
0.07/0.32	tff(f402,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f401,f6])).
0.07/0.32	tff(f403,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(f(x)),$uminus(u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f402,f9])).
0.07/0.32	tff(f404,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(u),$uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f403,f6])).
0.07/0.32	tff(f405,plain,(
0.07/0.32	  ~$less($uminus($uminus($sum(f(x),u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f404,f9])).
0.07/0.32	tff(f406,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f405,f16])).
0.07/0.32	tff(f407,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f406,f6])).
0.07/0.32	tff(f408,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f407,f369])).
0.07/0.32	tff(f409,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f356,f16])).
0.07/0.32	tff(f410,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f409,f369])).
0.07/0.32	tff(f411,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$uminus($sum($uminus(f(y)),$uminus(v))))),
0.07/0.32	  inference(forward_demodulation,[],[f355,f9])).
0.07/0.32	tff(f412,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$uminus($sum($uminus(v),$uminus(f(y)))))),
0.07/0.32	  inference(forward_demodulation,[],[f411,f6])).
0.07/0.32	tff(f413,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$uminus($uminus($sum(f(y),v))))),
0.07/0.32	  inference(forward_demodulation,[],[f412,f9])).
0.07/0.32	tff(f414,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(f(y),v))),
0.07/0.32	  inference(forward_demodulation,[],[f413,f16])).
0.07/0.32	tff(f415,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f414,f6])).
0.07/0.32	tff(f416,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f415,f369])).
0.07/0.32	tff(f417,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f354,f16])).
0.07/0.32	tff(f418,plain,(
0.07/0.32	  ~$less($sum(f(x),$uminus($uminus(u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f417,f6])).
0.07/0.32	tff(f419,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f418,f16])).
0.07/0.32	tff(f420,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f419,f6])).
0.07/0.32	tff(f421,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f420,f369])).
0.07/0.32	tff(f422,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$uminus($sum($uminus(f(y)),$uminus(v))))),
0.07/0.32	  inference(forward_demodulation,[],[f353,f9])).
0.07/0.32	tff(f423,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$uminus($sum($uminus(v),$uminus(f(y)))))),
0.07/0.32	  inference(forward_demodulation,[],[f422,f6])).
0.07/0.32	tff(f424,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$uminus($uminus($sum(f(y),v))))),
0.07/0.32	  inference(forward_demodulation,[],[f423,f9])).
0.07/0.32	tff(f425,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(f(y),v))),
0.07/0.32	  inference(forward_demodulation,[],[f424,f16])).
0.07/0.32	tff(f426,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f425,f6])).
0.07/0.32	tff(f427,plain,(
0.07/0.32	  ~$less($sum(f(x),$uminus($uminus(u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f426,f6])).
0.07/0.32	tff(f428,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f427,f16])).
0.07/0.32	tff(f429,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f428,f6])).
0.07/0.32	tff(f430,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f429,f369])).
0.07/0.32	tff(f431,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f352,f16])).
0.07/0.32	tff(f432,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f431,f16])).
0.07/0.32	tff(f433,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f432,f369])).
0.07/0.32	tff(f434,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$uminus($sum($uminus(f(y)),$uminus(v))))),
0.07/0.32	  inference(forward_demodulation,[],[f351,f9])).
0.07/0.32	tff(f435,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$uminus($sum($uminus(v),$uminus(f(y)))))),
0.07/0.32	  inference(forward_demodulation,[],[f434,f6])).
0.07/0.32	tff(f436,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$uminus($uminus($sum(f(y),v))))),
0.07/0.32	  inference(forward_demodulation,[],[f435,f9])).
0.07/0.32	tff(f437,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(f(y),v))),
0.07/0.32	  inference(forward_demodulation,[],[f436,f16])).
0.07/0.32	tff(f438,plain,(
0.07/0.32	  ~$less($sum(u,$uminus($uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f437,f6])).
0.07/0.32	tff(f439,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f438,f16])).
0.07/0.32	tff(f440,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f439,f369])).
0.07/0.32	tff(f441,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f350,f16])).
0.07/0.32	tff(f442,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(f(x)),$uminus(u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f441,f9])).
0.07/0.32	tff(f443,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(u),$uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f442,f6])).
0.07/0.32	tff(f444,plain,(
0.07/0.32	  ~$less($uminus($uminus($sum(f(x),u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f443,f9])).
0.07/0.32	tff(f445,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f444,f16])).
0.07/0.32	tff(f446,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f445,f6])).
0.07/0.32	tff(f447,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f446,f369])).
0.07/0.32	tff(f448,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$uminus($sum($uminus(f(y)),$uminus(v))))),
0.07/0.32	  inference(forward_demodulation,[],[f333,f9])).
0.07/0.32	tff(f449,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$uminus($sum($uminus(v),$uminus(f(y)))))),
0.07/0.32	  inference(forward_demodulation,[],[f448,f6])).
0.07/0.32	tff(f450,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$uminus($uminus($sum(f(y),v))))),
0.07/0.32	  inference(forward_demodulation,[],[f449,f9])).
0.07/0.32	tff(f451,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(f(y),v))),
0.07/0.32	  inference(forward_demodulation,[],[f450,f16])).
0.07/0.32	tff(f452,plain,(
0.07/0.32	  ~$less($sum($uminus($uminus(u)),$uminus($uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f451,f6])).
0.07/0.32	tff(f453,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(f(x)),$uminus(u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f452,f9])).
0.07/0.32	tff(f454,plain,(
0.07/0.32	  ~$less($uminus($sum($uminus(u),$uminus(f(x)))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f453,f6])).
0.07/0.32	tff(f455,plain,(
0.07/0.32	  ~$less($uminus($uminus($sum(f(x),u))),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f454,f9])).
0.07/0.32	tff(f456,plain,(
0.07/0.32	  ~$less($sum(f(x),u),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f455,f16])).
0.07/0.32	tff(f457,plain,(
0.07/0.32	  ~$less($sum(u,f(x)),$sum(v,f(y)))),
0.07/0.32	  inference(forward_demodulation,[],[f456,f6])).
0.07/0.32	tff(f458,plain,(
0.07/0.32	  ~spl0_25),
0.07/0.32	  inference(avatar_split_clause,[],[f457,f369])).
0.07/0.32	tff(f459,plain,(
0.07/0.32	  $false),
0.07/0.32	  inference(avatar_sat_refutation,[],[f43,f45,f47,f50,f68,f70,f72,f75,f83,f96,f111,f133,f140,f142,f149,f151,f154,f155,f157,f206,f210,f214,f221,f223,f229,f234,f243,f245,f250,f256,f265,f267,f272,f279,f290,f332,f371,f375,f379,f386,f388,f393,f399,f408,f410,f416,f421,f430,f433,f440,f447,f458])).
0.07/0.32	% SZS output end Proof for theBenchmark
0.07/0.32	% ------------------------------
0.07/0.32	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.07/0.32	% Termination reason: Refutation
0.07/0.32	
0.07/0.32	% Memory used [KB]: 5245
0.07/0.32	% Time elapsed: 0.042 s
0.07/0.32	% ------------------------------
0.07/0.32	% ------------------------------
0.07/0.32	% Success in time 0.076 s
0.07/0.32	EOF