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   : n156.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 04:25:55 CDT 2018
0.03/0.24	% CPUTime    : 
0.07/0.28	% 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
0.07/0.33	% Refutation found. Thanks to Tanya!
0.07/0.33	% SZS status Theorem for theBenchmark
0.07/0.33	% SZS output start Proof for theBenchmark
0.07/0.33	tff(f1,conjecture,(
0.07/0.33	  ? [X0 : $real,X1 : $real] : ($less(0.0,X0) & $less(0.0,X1) & $less($sum($product(3.0,X0),$product(4.0,X1)),6.0))),
0.07/0.33	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',ineq_sys_rat_solvable)).
0.07/0.33	tff(f2,negated_conjecture,(
0.07/0.33	  ~? [X0 : $real,X1 : $real] : ($less(0.0,X0) & $less(0.0,X1) & $less($sum($product(3.0,X0),$product(4.0,X1)),6.0))),
0.07/0.33	  inference(negated_conjecture,[],[f1])).
0.07/0.33	tff(f8,plain,(
0.07/0.33	  ( ! [X0:$real] : (~$less(X0,X0)) )),
0.07/0.33	  introduced(theory_axiom,[])).
0.07/0.33	tff(f9,plain,(
0.07/0.33	  ( ! [X2:$real,X0:$real,X1:$real] : ($less(X0,X2) | ~$less(X1,X2) | ~$less(X0,X1)) )),
0.07/0.33	  introduced(theory_axiom,[])).
0.07/0.33	tff(f10,plain,(
0.07/0.33	  ( ! [X0:$real,X1:$real] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
0.07/0.33	  introduced(theory_axiom,[])).
0.07/0.33	tff(f11,plain,(
0.07/0.33	  ( ! [X2:$real,X0:$real,X1:$real] : (~$less(X0,X1) | $less($sum(X0,X2),$sum(X1,X2))) )),
0.07/0.33	  introduced(theory_axiom,[])).
0.07/0.33	tff(f12,plain,(
0.07/0.33	  ( ! [X0:$real,X1:$real] : ($less(X0,X1) | $less(X1,$sum(X0,1.0))) )),
0.07/0.33	  introduced(theory_axiom,[])).
0.07/0.33	tff(f19,plain,(
0.07/0.33	  ( ! [X2:$real,X0:$real,X3:$real,X1:$real] : (0.0 = X0 | $product(X0,X2) != X1 | $product(X0,X3) != X1 | X2 = X3) )),
0.07/0.33	  introduced(theory_axiom,[])).
0.07/0.33	tff(f20,plain,(
0.07/0.33	  ! [X0 : $real,X1 : $real] : (~$less(0.0,X0) | ~$less(0.0,X1) | ~$less($sum($product(3.0,X0),$product(4.0,X1)),6.0))),
0.07/0.33	  inference(ennf_transformation,[],[f2])).
0.07/0.33	tff(f21,plain,(
0.07/0.33	  ( ! [X0:$real,X1:$real] : (~$less(0.0,X0) | ~$less(0.0,X1) | ~$less($sum($product(3.0,X0),$product(4.0,X1)),6.0)) )),
0.07/0.33	  inference(cnf_transformation,[],[f20])).
0.07/0.33	tff(f22,plain,(
0.07/0.33	  ( ! [X2:$real,X0:$real,X1:$real] : (~$less(X2,X1) | ~$less($sum($product(3.0,X1),$product(4.0,X0)),6.0) | ~$less(0.0,X0) | ~$less(0.0,X2)) )),
0.07/0.33	  inference(resolution,[],[f21,f9])).
0.07/0.33	tff(f23,plain,(
0.07/0.33	  ( ! [X4:$real,X3:$real] : ($less(X4,0.0) | ~$less($sum($product(3.0,X4),$product(4.0,X3)),6.0) | ~$less(0.0,X3) | 0.0 = X4) )),
0.07/0.33	  inference(resolution,[],[f21,f10])).
0.07/0.33	tff(f24,plain,(
0.07/0.33	  ( ! [X6:$real,X5:$real] : (~$less(0.0,X5) | ~$less($sum($product(3.0,X6),$product(4.0,X5)),6.0) | $less(X6,$sum(0.0,1.0))) )),
0.07/0.33	  inference(resolution,[],[f21,f12])).
0.07/0.33	tff(f25,plain,(
0.07/0.33	  ( ! [X4:$real,X2:$real,X0:$real,X5:$real,X3:$real,X1:$real] : (~$less(X0,X1) | ~$less(0.0,X2) | ~$less($sum($product(3.0,X1),$product(4.0,X2)),6.0) | $product(X0,X3) != X4 | $product(X0,X5) != X4 | X3 = X5) )),
0.07/0.33	  inference(superposition,[],[f21,f19])).
0.07/0.33	tff(f26,plain,(
0.07/0.33	  ( ! [X6:$real,X5:$real] : ($less(X6,1.0) | ~$less($sum($product(3.0,X6),$product(4.0,X5)),6.0) | ~$less(0.0,X5)) )),
0.07/0.33	  inference(evaluation,[],[f24])).
0.07/0.33	tff(f27,plain,(
0.07/0.33	  ( ! [X2:$real,X0:$real,X1:$real] : (~$less(0.0,X1) | ~$less($sum($product(3.0,X0),$product(4.0,X1)),6.0) | $less($sum(X0,X2),$sum(1.0,X2))) )),
0.07/0.33	  inference(resolution,[],[f26,f11])).
0.07/0.33	tff(f28,plain,(
0.07/0.33	  ( ! [X3:$real] : (~$less($sum($product(3.0,1.0),$product(4.0,X3)),6.0) | ~$less(0.0,X3)) )),
0.07/0.33	  inference(resolution,[],[f26,f8])).
0.07/0.33	tff(f33,plain,(
0.07/0.33	  ( ! [X3:$real] : (~$less(X3,$quotient($sum(6.0,-3.0),4.0)) | ~$less(0.0,X3)) )),
0.07/0.33	  inference(evaluation,[],[f28])).
0.07/0.33	tff(f34,plain,(
0.07/0.33	  ( ! [X3:$real] : (~$less(X3,$quotient(3.0,4.0)) | ~$less(0.0,X3)) )),
0.07/0.33	  inference(evaluation,[],[f33])).
0.07/0.33	tff(f35,plain,(
0.07/0.33	  ( ! [X3:$real] : (~$less(X3,0.75) | ~$less(0.0,X3)) )),
0.07/0.33	  inference(evaluation,[],[f34])).
0.07/0.33	tff(f37,plain,(
0.07/0.33	  ( ! [X6:$real,X4:$real,X5:$real] : (~$less(0.0,X5) | ~$less($sum($product(3.0,X4),$product(4.0,X5)),6.0) | ~$less(0.0,X6) | $less(X4,X6) | X4 = X6) )),
0.07/0.33	  inference(resolution,[],[f22,f10])).
0.07/0.33	tff(f38,plain,(
0.07/0.33	  ( ! [X8:$real,X7:$real,X9:$real] : (~$less(0.0,X8) | ~$less($sum($product(3.0,X7),$product(4.0,X8)),6.0) | ~$less(0.0,X9) | $less(X7,$sum(X9,1.0))) )),
0.07/0.33	  inference(resolution,[],[f22,f12])).
0.07/0.33	tff(f44,plain,(
0.07/0.33	  ( ! [X4:$real,X5:$real,X3:$real] : (~$less($sum($product(3.0,X3),$product(4.0,X4)),6.0) | ~$less(0.0,X4) | 0.0 = X3 | $less($sum(X3,X5),$sum(0.0,X5))) )),
0.07/0.33	  inference(resolution,[],[f23,f11])).
0.07/0.33	tff(f47,plain,(
0.07/0.33	  ( ! [X4:$real,X2:$real,X0:$real,X5:$real,X3:$real,X1:$real] : (~$less(0.0,X2) | ~$less($sum($product(3.0,X1),$product(4.0,X2)),6.0) | $less(X1,X0) | 0.0 = X1 | $product(X0,X3) != X4 | $product(X0,X5) != X4 | X3 = X5) )),
0.07/0.33	  inference(superposition,[],[f23,f19])).
0.07/0.33	tff(f48,plain,(
0.07/0.33	  ( ! [X4:$real,X5:$real,X3:$real] : (~$less(0.0,X4) | ~$less($sum($product(3.0,X3),$product(4.0,X4)),6.0) | 0.0 = X3 | $less($sum(X3,X5),X5)) )),
0.07/0.33	  inference(evaluation,[],[f44])).
0.07/0.33	tff(f52,plain,(
0.07/0.33	  ( ! [X0:$real,X1:$real] : (~$less(X1,0.75) | ~$less(0.0,X0) | ~$less(X0,X1)) )),
0.07/0.33	  inference(resolution,[],[f35,f9])).
0.07/0.33	tff(f54,plain,(
0.07/0.33	  ( ! [X3:$real] : (~$less(0.0,X3) | $less(0.75,$sum(X3,1.0))) )),
0.07/0.33	  inference(resolution,[],[f35,f12])).
0.07/0.33	tff(f55,plain,(
0.07/0.33	  ( ! [X3:$real] : (~$less(0.0,X3) | $less($sum(0.75,-1.0),X3)) )),
0.07/0.33	  inference(evaluation,[],[f54])).
0.07/0.33	tff(f56,plain,(
0.07/0.33	  ( ! [X3:$real] : ($less(-0.25,X3) | ~$less(0.0,X3)) )),
0.07/0.33	  inference(evaluation,[],[f55])).
0.07/0.33	tff(f57,plain,(
0.07/0.33	  ( ! [X6:$real,X4:$real,X2:$real,X0:$real,X5:$real,X3:$real,X1:$real] : (~$less(X2,X6) | ~$less($sum($product(3.0,X1),$product(4.0,X0)),6.0) | $product(X2,X3) != X4 | $product(X2,X5) != X4 | X3 = X5 | ~$less(X6,X1) | ~$less(0.0,X0)) )),
0.07/0.33	  inference(resolution,[],[f25,f9])).
0.07/0.33	tff(f58,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X8:$real,X7:$real,X11:$real,X9:$real] : (~$less(0.0,X7) | ~$less($sum($product(3.0,X8),$product(4.0,X7)),6.0) | $product(X9,X10) != X11 | $product(X9,X12) != X11 | X10 = X12 | $less(X8,X9) | X8 = X9) )),
0.07/0.33	  inference(resolution,[],[f25,f10])).
0.07/0.33	tff(f59,plain,(
0.07/0.33	  ( ! [X14:$real,X17:$real,X15:$real,X13:$real,X18:$real,X16:$real] : (~$less(0.0,X13) | ~$less($sum($product(3.0,X14),$product(4.0,X13)),6.0) | $product(X15,X16) != X17 | $product(X15,X18) != X17 | X16 = X18 | $less(X14,$sum(X15,1.0))) )),
0.07/0.33	  inference(resolution,[],[f25,f12])).
0.07/0.33	tff(f71,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less($sum($product(3.0,X10),$product(4.0,1.0)),6.0) | $less($sum(X10,X11),$sum(1.0,X11)) | ~$less($sum($product(3.0,0.0),$product(4.0,X12)),6.0) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(resolution,[],[f27,f26])).
0.07/0.33	tff(f74,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,$quotient($sum(6.0,-4.0),3.0)) | $less($sum(X10,X11),$sum(1.0,X11)) | ~$less(X12,$quotient($sum(6.0,0.0),4.0)) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f71])).
0.07/0.33	tff(f75,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,$quotient(2.0,3.0)) | $less($sum(X10,X11),$sum(1.0,X11)) | ~$less(X12,$quotient(6.0,4.0)) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f74])).
0.07/0.33	tff(f76,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,0.666667) | $less($sum(X10,X11),$sum(1.0,X11)) | ~$less(X12,1.5) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f75])).
0.07/0.33	tff(f79,plain,(
0.07/0.33	  spl0_0 <=> ! [X12 : $real] : (~$less(X12,1.5) | ~$less(0.0,X12))),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_0])])).
0.07/0.33	tff(f80,plain,(
0.07/0.33	  ( ! [X12:$real] : (~$less(X12,1.5) | ~$less(0.0,X12)) ) | ~spl0_0),
0.07/0.33	  inference(avatar_component_clause,[],[f79])).
0.07/0.33	tff(f82,plain,(
0.07/0.33	  spl0_2 <=> ! [X11 : $real,X10 : $real] : (~$less(X10,0.666667) | $less($sum(X10,X11),$sum(1.0,X11)))),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_2])])).
0.07/0.33	tff(f84,plain,(
0.07/0.33	  spl0_0 | spl0_2),
0.07/0.33	  inference(avatar_split_clause,[],[f76,f82,f79])).
0.07/0.33	tff(f94,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less($sum($product(3.0,X10),$product(4.0,1.0)),6.0) | ~$less(0.0,X11) | $less(X10,$sum(X11,1.0)) | ~$less($sum($product(3.0,0.0),$product(4.0,X12)),6.0) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(resolution,[],[f38,f26])).
0.07/0.33	tff(f97,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,$quotient($sum(6.0,-4.0),3.0)) | ~$less(0.0,X11) | $less(X10,$sum(X11,1.0)) | ~$less(X12,$quotient($sum(6.0,0.0),4.0)) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f94])).
0.07/0.33	tff(f98,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,$quotient(2.0,3.0)) | ~$less(0.0,X11) | $less(X10,$sum(X11,1.0)) | ~$less(X12,$quotient(6.0,4.0)) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f97])).
0.07/0.33	tff(f99,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,0.666667) | ~$less(0.0,X11) | $less(X10,$sum(X11,1.0)) | ~$less(X12,1.5) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f98])).
0.07/0.33	tff(f102,plain,(
0.07/0.33	  spl0_4 <=> ! [X11 : $real,X10 : $real] : (~$less(X10,0.666667) | $less(X10,$sum(X11,1.0)) | ~$less(0.0,X11))),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_4])])).
0.07/0.33	tff(f104,plain,(
0.07/0.33	  spl0_0 | spl0_4),
0.07/0.33	  inference(avatar_split_clause,[],[f99,f102,f79])).
0.07/0.33	tff(f108,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less($sum($product(3.0,X10),$product(4.0,1.0)),6.0) | 0.0 = X10 | $less($sum(X10,X11),X11) | ~$less($sum($product(3.0,0.0),$product(4.0,X12)),6.0) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(resolution,[],[f48,f26])).
0.07/0.33	tff(f111,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,$quotient($sum(6.0,-4.0),3.0)) | 0.0 = X10 | $less($sum(X10,X11),X11) | ~$less(X12,$quotient($sum(6.0,0.0),4.0)) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f108])).
0.07/0.33	tff(f112,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,$quotient(2.0,3.0)) | 0.0 = X10 | $less($sum(X10,X11),X11) | ~$less(X12,$quotient(6.0,4.0)) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f111])).
0.07/0.33	tff(f113,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,0.666667) | 0.0 = X10 | $less($sum(X10,X11),X11) | ~$less(X12,1.5) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f112])).
0.07/0.33	tff(f117,plain,(
0.07/0.33	  ( ! [X3:$real] : (~$less(0.0,X3) | $less(1.5,$sum(X3,1.0))) ) | ~spl0_0),
0.07/0.33	  inference(resolution,[],[f80,f12])).
0.07/0.33	tff(f119,plain,(
0.07/0.33	  ( ! [X3:$real] : (~$less(0.0,X3) | $less($sum(1.5,-1.0),X3)) ) | ~spl0_0),
0.07/0.33	  inference(evaluation,[],[f117])).
0.07/0.33	tff(f120,plain,(
0.07/0.33	  ( ! [X3:$real] : (~$less(0.0,X3) | $less(0.5,X3)) ) | ~spl0_0),
0.07/0.33	  inference(evaluation,[],[f119])).
0.07/0.33	tff(f133,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less($sum($product(3.0,X10),$product(4.0,1.0)),6.0) | ~$less(0.0,X11) | $less(X10,X11) | X10 = X11 | ~$less($sum($product(3.0,0.0),$product(4.0,X12)),6.0) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(resolution,[],[f37,f26])).
0.07/0.33	tff(f136,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,$quotient($sum(6.0,-4.0),3.0)) | ~$less(0.0,X11) | $less(X10,X11) | X10 = X11 | ~$less(X12,$quotient($sum(6.0,0.0),4.0)) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f133])).
0.07/0.33	tff(f137,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,$quotient(2.0,3.0)) | ~$less(0.0,X11) | $less(X10,X11) | X10 = X11 | ~$less(X12,$quotient(6.0,4.0)) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f136])).
0.07/0.33	tff(f138,plain,(
0.07/0.33	  ( ! [X12:$real,X10:$real,X11:$real] : (~$less(X10,0.666667) | ~$less(0.0,X11) | $less(X10,X11) | X10 = X11 | ~$less(X12,1.5) | ~$less(0.0,X12)) )),
0.07/0.33	  inference(evaluation,[],[f137])).
0.07/0.33	tff(f140,plain,(
0.07/0.33	  ~$less(0.0,0.5) | ~spl0_0),
0.07/0.33	  inference(unit_resulting_resolution,[],[f8,f120])).
0.07/0.33	tff(f148,plain,(
0.07/0.33	  $false | ~spl0_0),
0.07/0.33	  inference(evaluation,[],[f140])).
0.07/0.33	tff(f149,plain,(
0.07/0.33	  ~spl0_0),
0.07/0.33	  inference(avatar_contradiction_clause,[],[f148])).
0.07/0.33	tff(f151,plain,(
0.07/0.33	  spl0_6 <=> ! [X11 : $real,X10 : $real] : (~$less(X10,0.666667) | X10 = X11 | $less(X10,X11) | ~$less(0.0,X11))),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_6])])).
0.07/0.33	tff(f153,plain,(
0.07/0.33	  spl0_0 | spl0_6),
0.07/0.33	  inference(avatar_split_clause,[],[f138,f151,f79])).
0.07/0.33	tff(f155,plain,(
0.07/0.33	  spl0_8 <=> ! [X11 : $real,X10 : $real] : (~$less(X10,0.666667) | $less($sum(X10,X11),X11) | 0.0 = X10)),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_8])])).
0.07/0.33	tff(f156,plain,(
0.07/0.33	  ( ! [X10:$real,X11:$real] : (~$less(X10,0.666667) | $less($sum(X10,X11),X11) | 0.0 = X10) ) | ~spl0_8),
0.07/0.33	  inference(avatar_component_clause,[],[f155])).
0.07/0.33	tff(f157,plain,(
0.07/0.33	  spl0_0 | spl0_8),
0.07/0.33	  inference(avatar_split_clause,[],[f113,f155,f79])).
0.07/0.33	tff(f161,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less($sum($product(3.0,X19),$product(4.0,1.0)),6.0) | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | $less(X19,$sum(X20,1.0)) | ~$less($sum($product(3.0,0.0),$product(4.0,X24)),6.0) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(resolution,[],[f59,f26])).
0.07/0.33	tff(f164,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less(X19,$quotient($sum(6.0,-4.0),3.0)) | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | $less(X19,$sum(X20,1.0)) | ~$less(X24,$quotient($sum(6.0,0.0),4.0)) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(evaluation,[],[f161])).
0.07/0.33	tff(f165,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less(X19,$quotient(2.0,3.0)) | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | $less(X19,$sum(X20,1.0)) | ~$less(X24,$quotient(6.0,4.0)) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(evaluation,[],[f164])).
0.07/0.33	tff(f166,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less(X19,0.666667) | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | $less(X19,$sum(X20,1.0)) | ~$less(X24,1.5) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(evaluation,[],[f165])).
0.07/0.33	tff(f169,plain,(
0.07/0.33	  spl0_10 <=> ! [X20 : $real,X22 : $real,X19 : $real,X21 : $real,X23 : $real] : (~$less(X19,0.666667) | $less(X19,$sum(X20,1.0)) | $product(X20,X21) != X22 | X21 = X23 | $product(X20,X23) != X22)),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_10])])).
0.07/0.33	tff(f171,plain,(
0.07/0.33	  spl0_0 | spl0_10),
0.07/0.33	  inference(avatar_split_clause,[],[f166,f169,f79])).
0.07/0.33	tff(f175,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less($sum($product(3.0,X19),$product(4.0,1.0)),6.0) | $less(X19,X20) | 0.0 = X19 | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | ~$less($sum($product(3.0,0.0),$product(4.0,X24)),6.0) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(resolution,[],[f47,f26])).
0.07/0.33	tff(f178,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less(X19,$quotient($sum(6.0,-4.0),3.0)) | $less(X19,X20) | 0.0 = X19 | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | ~$less(X24,$quotient($sum(6.0,0.0),4.0)) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(evaluation,[],[f175])).
0.07/0.33	tff(f179,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less(X19,$quotient(2.0,3.0)) | $less(X19,X20) | 0.0 = X19 | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | ~$less(X24,$quotient(6.0,4.0)) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(evaluation,[],[f178])).
0.07/0.33	tff(f180,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less(X19,0.666667) | $less(X19,X20) | 0.0 = X19 | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | ~$less(X24,1.5) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(evaluation,[],[f179])).
0.07/0.33	tff(f183,plain,(
0.07/0.33	  spl0_12 <=> ! [X20 : $real,X22 : $real,X19 : $real,X21 : $real,X23 : $real] : (~$less(X19,0.666667) | X21 = X23 | $product(X20,X23) != X22 | $product(X20,X21) != X22 | 0.0 = X19 | $less(X19,X20))),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_12])])).
0.07/0.33	tff(f185,plain,(
0.07/0.33	  spl0_0 | spl0_12),
0.07/0.33	  inference(avatar_split_clause,[],[f180,f183,f79])).
0.07/0.33	tff(f196,plain,(
0.07/0.33	  ( ! [X28:$real,X26:$real,X24:$real,X23:$real,X27:$real,X25:$real,X22:$real] : (~$less($sum($product(3.0,X22),$product(4.0,X23)),6.0) | $product(X24,X25) != X26 | $product(X24,X27) != X26 | X25 = X27 | ~$less(1.0,X22) | ~$less(0.0,X23) | ~$less($sum($product(3.0,X24),$product(4.0,X28)),6.0) | ~$less(0.0,X28)) )),
0.07/0.33	  inference(resolution,[],[f57,f26])).
0.07/0.33	tff(f200,plain,(
0.07/0.33	  spl0_14 <=> ! [X25 : $real,X27 : $real,X24 : $real,X26 : $real,X28 : $real] : ($product(X24,X25) != X26 | ~$less(0.0,X28) | ~$less($sum($product(3.0,X24),$product(4.0,X28)),6.0) | X25 = X27 | $product(X24,X27) != X26)),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_14])])).
0.07/0.33	tff(f203,plain,(
0.07/0.33	  spl0_16 <=> ! [X22 : $real,X23 : $real] : (~$less($sum($product(3.0,X22),$product(4.0,X23)),6.0) | ~$less(0.0,X23) | ~$less(1.0,X22))),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_16])])).
0.07/0.33	tff(f205,plain,(
0.07/0.33	  spl0_14 | spl0_16),
0.07/0.33	  inference(avatar_split_clause,[],[f196,f203,f200])).
0.07/0.33	tff(f209,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less($sum($product(3.0,X19),$product(4.0,1.0)),6.0) | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | $less(X19,X20) | X19 = X20 | ~$less($sum($product(3.0,0.0),$product(4.0,X24)),6.0) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(resolution,[],[f58,f26])).
0.07/0.33	tff(f212,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less(X19,$quotient($sum(6.0,-4.0),3.0)) | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | $less(X19,X20) | X19 = X20 | ~$less(X24,$quotient($sum(6.0,0.0),4.0)) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(evaluation,[],[f209])).
0.07/0.33	tff(f213,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less(X19,$quotient(2.0,3.0)) | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | $less(X19,X20) | X19 = X20 | ~$less(X24,$quotient(6.0,4.0)) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(evaluation,[],[f212])).
0.07/0.33	tff(f214,plain,(
0.07/0.33	  ( ! [X24:$real,X23:$real,X21:$real,X19:$real,X22:$real,X20:$real] : (~$less(X19,0.666667) | $product(X20,X21) != X22 | $product(X20,X23) != X22 | X21 = X23 | $less(X19,X20) | X19 = X20 | ~$less(X24,1.5) | ~$less(0.0,X24)) )),
0.07/0.33	  inference(evaluation,[],[f213])).
0.07/0.33	tff(f217,plain,(
0.07/0.33	  spl0_18 <=> ! [X20 : $real,X22 : $real,X19 : $real,X21 : $real,X23 : $real] : (~$less(X19,0.666667) | X19 = X20 | $less(X19,X20) | $product(X20,X21) != X22 | X21 = X23 | $product(X20,X23) != X22)),
0.07/0.33	  introduced(avatar_definition,[new_symbols(naming,[spl0_18])])).
0.07/0.33	tff(f219,plain,(
0.07/0.33	  spl0_0 | spl0_18),
0.07/0.33	  inference(avatar_split_clause,[],[f214,f217,f79])).
0.07/0.33	tff(f261,plain,(
0.07/0.33	  ( ! [X7:$real] : ($less($sum(-0.25,X7),X7) | 0.0 = -0.25 | ~$less(0.0,0.666667)) ) | ~spl0_8),
0.07/0.33	  inference(resolution,[],[f156,f56])).
0.07/0.33	tff(f262,plain,(
0.07/0.33	  ( ! [X7:$real] : ($less($sum(-0.25,X7),X7)) ) | ~spl0_8),
0.07/0.33	  inference(evaluation,[],[f261])).
0.07/0.33	tff(f270,plain,(
0.07/0.33	  ~$less(0.0,$sum(-0.25,$sum(-0.25,0.75))) | ~spl0_8),
0.07/0.33	  inference(unit_resulting_resolution,[],[f262,f262,f52])).
0.07/0.33	tff(f271,plain,(
0.07/0.33	  ~$less(0.0,$sum(-0.25,$sum(-0.25,0.75))) | ~spl0_8),
0.07/0.33	  inference(unit_resulting_resolution,[],[f262,f262,f52])).
0.07/0.33	tff(f272,plain,(
0.07/0.33	  ~$less(0.0,$sum(-0.25,0.75)) | ~spl0_8),
0.07/0.33	  inference(unit_resulting_resolution,[],[f262,f35])).
0.07/0.33	tff(f281,plain,(
0.07/0.33	  ~$less(0.0,$sum(-0.25,0.75)) | ~spl0_8),
0.07/0.33	  inference(resolution,[],[f262,f35])).
0.07/0.33	tff(f294,plain,(
0.07/0.33	  $false | ~spl0_8),
0.07/0.33	  inference(evaluation,[],[f281])).
0.07/0.33	tff(f295,plain,(
0.07/0.33	  ~spl0_8),
0.07/0.33	  inference(avatar_contradiction_clause,[],[f294])).
0.07/0.33	tff(f301,plain,(
0.07/0.33	  ~$less(0.0,$sum(-0.25,0.5)) | ~spl0_8),
0.07/0.33	  inference(evaluation,[],[f270])).
0.07/0.33	tff(f302,plain,(
0.07/0.33	  $false | ~spl0_8),
0.07/0.33	  inference(evaluation,[],[f301])).
0.07/0.33	tff(f303,plain,(
0.07/0.33	  ~spl0_8),
0.07/0.33	  inference(avatar_contradiction_clause,[],[f302])).
0.07/0.33	tff(f304,plain,(
0.07/0.33	  ~$less(0.0,$sum(-0.25,0.5)) | ~spl0_8),
0.07/0.33	  inference(evaluation,[],[f271])).
0.07/0.33	tff(f305,plain,(
0.07/0.33	  $false | ~spl0_8),
0.07/0.33	  inference(evaluation,[],[f304])).
0.07/0.33	tff(f306,plain,(
0.07/0.33	  ~spl0_8),
0.07/0.33	  inference(avatar_contradiction_clause,[],[f305])).
0.07/0.33	tff(f307,plain,(
0.07/0.33	  $false | ~spl0_8),
0.07/0.33	  inference(evaluation,[],[f272])).
0.07/0.33	tff(f308,plain,(
0.07/0.33	  ~spl0_8),
0.07/0.33	  inference(avatar_contradiction_clause,[],[f307])).
0.07/0.33	tff(f312,plain,(
0.07/0.33	  $false),
0.07/0.33	  inference(avatar_sat_refutation,[],[f84,f104,f149,f153,f157,f171,f185,f205,f219,f295,f303,f306,f308])).
0.07/0.33	% SZS output end Proof for theBenchmark
0.07/0.33	% ------------------------------
0.07/0.33	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.07/0.33	% Termination reason: Refutation
0.07/0.33	
0.07/0.33	% Memory used [KB]: 5500
0.07/0.33	% Time elapsed: 0.048 s
0.07/0.33	% ------------------------------
0.07/0.33	% ------------------------------
0.07/0.33	% Success in time 0.082 s
0.07/0.33	EOF