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
0.03/0.26	% Computer   : n173.star.cs.uiowa.edu
0.03/0.26	% Model      : x86_64 x86_64
0.03/0.26	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.26	% Memory     : 32218.625MB
0.03/0.26	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.26	% CPULimit   : 300
0.03/0.26	% DateTime   : Sat Jul 14 04:18:26 CDT 2018
0.03/0.26	% CPUTime    : 
0.06/0.30	% lrs+1011_2:1_add=large:afr=on:afp=4000:afq=1.1:amm=off:anc=none:cond=on:fsr=off:gs=on:irw=on:nm=64:nwc=1:sas=z3:stl=30:sos=on:sp=reverse_arity:thf=on:urr=on:updr=off_2 on theBenchmark
0.06/0.32	% Refutation found. Thanks to Tanya!
0.06/0.32	% SZS status Theorem for theBenchmark
0.06/0.32	% SZS output start Proof for theBenchmark
0.06/0.32	tff(f1,conjecture,(
0.06/0.32	  ? [X0 : $real,X1 : $real,X2 : $real] : (($difference(X2,X0) = X1 & $difference(X2,X1) = X0) <=> $sum(X0,X1) = X2)),
0.06/0.32	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',real_combined_problem_2)).
0.06/0.32	tff(f2,negated_conjecture,(
0.06/0.32	  ~? [X0 : $real,X1 : $real,X2 : $real] : (($difference(X2,X0) = X1 & $difference(X2,X1) = X0) <=> $sum(X0,X1) = X2)),
0.06/0.32	  inference(negated_conjecture,[],[f1])).
0.06/0.32	tff(f5,plain,(
0.06/0.32	  ( ! [X0:$real] : ($sum(X0,0.0) = X0) )),
0.06/0.32	  introduced(theory_axiom,[])).
0.06/0.32	tff(f7,plain,(
0.06/0.32	  ( ! [X0:$real] : ($sum(X0,$uminus(X0)) = 0.0) )),
0.06/0.32	  introduced(theory_axiom,[])).
0.06/0.32	tff(f14,plain,(
0.06/0.32	  ~? [X0 : $real,X1 : $real,X2 : $real] : (($sum(X2,$uminus(X0)) = X1 & $sum(X2,$uminus(X1)) = X0) <=> $sum(X0,X1) = X2)),
0.06/0.32	  inference(evaluation,[],[f2])).
0.06/0.32	tff(f15,plain,(
0.06/0.32	  ! [X0 : $real,X1 : $real,X2 : $real] : (($sum(X2,$uminus(X0)) = X1 & $sum(X2,$uminus(X1)) = X0) <~> $sum(X0,X1) = X2)),
0.06/0.32	  inference(ennf_transformation,[],[f14])).
0.06/0.32	tff(f16,plain,(
0.06/0.32	  ! [X0 : $real,X1 : $real,X2 : $real] : (($sum(X0,X1) != X2 | ($sum(X2,$uminus(X0)) != X1 | $sum(X2,$uminus(X1)) != X0)) & ($sum(X0,X1) = X2 | ($sum(X2,$uminus(X0)) = X1 & $sum(X2,$uminus(X1)) = X0)))),
0.06/0.32	  inference(nnf_transformation,[],[f15])).
0.06/0.32	tff(f17,plain,(
0.06/0.32	  ! [X0 : $real,X1 : $real,X2 : $real] : (($sum(X0,X1) != X2 | $sum(X2,$uminus(X0)) != X1 | $sum(X2,$uminus(X1)) != X0) & ($sum(X0,X1) = X2 | ($sum(X2,$uminus(X0)) = X1 & $sum(X2,$uminus(X1)) = X0)))),
0.06/0.32	  inference(flattening,[],[f16])).
0.06/0.32	tff(f18,plain,(
0.06/0.32	  ( ! [X2:$real,X0:$real,X1:$real] : ($sum(X2,$uminus(X1)) = X0 | $sum(X0,X1) = X2) )),
0.06/0.32	  inference(cnf_transformation,[],[f17])).
0.06/0.32	tff(f20,plain,(
0.06/0.32	  ( ! [X2:$real,X0:$real,X1:$real] : ($sum(X0,X1) != X2 | $sum(X2,$uminus(X0)) != X1 | $sum(X2,$uminus(X1)) != X0) )),
0.06/0.32	  inference(cnf_transformation,[],[f17])).
0.06/0.32	tff(f21,plain,(
0.06/0.32	  ( ! [X0:$real,X1:$real] : ($sum($sum(X0,X1),$uminus(X0)) != X1 | $sum($sum(X0,X1),$uminus(X1)) != X0) )),
0.06/0.32	  inference(equality_resolution,[],[f20])).
0.06/0.32	tff(f23,plain,(
0.06/0.32	  ( ! [X0:$real,X1:$real] : ($sum(X1,X0) = X0 | 0.0 = X1) )),
0.06/0.32	  inference(superposition,[],[f18,f7])).
0.06/0.32	tff(f40,plain,(
0.06/0.32	  ( ! [X9:$real] : (0.0 = X9 | 0.0 = X9) )),
0.06/0.32	  inference(superposition,[],[f23,f5])).
0.06/0.32	tff(f56,plain,(
0.06/0.32	  ( ! [X9:$real] : (0.0 = X9) )),
0.06/0.32	  inference(duplicate_literal_removal,[],[f40])).
0.06/0.32	tff(f61,plain,(
0.06/0.32	  ( ! [X0:$real,X1:$real] : ($sum(0.0,$uminus(X0)) != X1 | $sum($sum(X0,X1),$uminus(X1)) != X0) )),
0.06/0.32	  inference(backward_demodulation,[],[f56,f21])).
0.06/0.32	tff(f81,plain,(
0.06/0.32	  ( ! [X0:$real,X1:$real] : ($uminus(X0) != X1 | $sum($sum(X0,X1),$uminus(X1)) != X0) )),
0.06/0.32	  inference(evaluation,[],[f61])).
0.06/0.32	tff(f88,plain,(
0.06/0.32	  ( ! [X0:$real,X1:$real] : (0.0 != X1 | $sum($sum(X0,X1),$uminus(X1)) != X0) )),
0.06/0.32	  inference(forward_demodulation,[],[f81,f56])).
0.06/0.32	tff(f89,plain,(
0.06/0.32	  ( ! [X0:$real,X1:$real] : ($sum($sum(X0,X1),0.0) != X0 | 0.0 != X1) )),
0.06/0.32	  inference(forward_demodulation,[],[f88,f56])).
0.06/0.32	tff(f90,plain,(
0.06/0.32	  ( ! [X0:$real,X1:$real] : ($sum(X0,X1) != X0 | 0.0 != X1) )),
0.06/0.32	  inference(evaluation,[],[f89])).
0.06/0.32	tff(f91,plain,(
0.06/0.32	  ( ! [X0:$real,X1:$real] : ($sum(X0,X1) != X0) )),
0.06/0.32	  inference(global_subsumption,[],[f56,f90])).
0.06/0.32	tff(f128,plain,(
0.06/0.32	  ( ! [X2:$real] : (X2 != X2) )),
0.06/0.32	  inference(superposition,[],[f91,f5])).
0.06/0.32	tff(f129,plain,(
0.06/0.32	  $false),
0.06/0.32	  inference(trivial_inequality_removal,[],[f128])).
0.06/0.32	% SZS output end Proof for theBenchmark
0.06/0.32	% ------------------------------
0.06/0.32	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.06/0.32	% Termination reason: Refutation
0.06/0.32	
0.06/0.32	% Memory used [KB]: 5117
0.06/0.32	% Time elapsed: 0.020 s
0.06/0.32	% ------------------------------
0.06/0.32	% ------------------------------
0.06/0.32	% Success in time 0.055 s
0.13/0.39	EOF