0.00/0.07	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.07	% Command    : vampire --mode casc -t %d %s
0.02/0.42	% Computer   : n067.star.cs.uiowa.edu
0.02/0.42	% Model      : x86_64 x86_64
0.02/0.42	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.42	% Memory     : 32218.625MB
0.02/0.42	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.42	% CPULimit   : 300
0.02/0.42	% DateTime   : Fri Jul 13 14:53:57 CDT 2018
0.06/0.42	% CPUTime    : 
0.06/0.46	% 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
0.06/0.49	% Refutation found. Thanks to Tanya!
0.06/0.49	% SZS status Theorem for theBenchmark
0.06/0.49	% SZS output start Proof for theBenchmark
0.06/0.49	tff(func_def_0, type, sqr: $real > $real).
0.06/0.49	tff(func_def_1, type, sqrt: $real > $real).
0.06/0.49	tff(f2,axiom,(
0.06/0.49	  ! [X0 : $real] : ($lesseq(0.0,X0) => sqrt($product(X0,X0)) = X0)),
0.06/0.49	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',square_sqrt)).
0.06/0.49	tff(f3,conjecture,(
0.06/0.49	  sqrt(0.0) = 0.0),
0.06/0.49	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',sqrt_zero)).
0.06/0.49	tff(f4,negated_conjecture,(
0.06/0.49	  ~sqrt(0.0) = 0.0),
0.06/0.49	  inference(negated_conjecture,[],[f3])).
0.06/0.49	tff(f14,plain,(
0.06/0.49	  ( ! [X0:$real] : (~$less(X0,X0)) )),
0.06/0.49	  introduced(theory_axiom,[])).
0.06/0.49	tff(f23,plain,(
0.06/0.49	  ( ! [X0:$real] : (0.0 = $product(X0,0.0)) )),
0.06/0.49	  introduced(theory_axiom,[])).
0.06/0.49	tff(f28,plain,(
0.06/0.49	  ! [X0 : $real] : (~$less(X0,0.0) => sqrt($product(X0,X0)) = X0)),
0.06/0.49	  inference(evaluation,[],[f2])).
0.06/0.49	tff(f31,plain,(
0.06/0.49	  sqrt(0.0) != 0.0),
0.06/0.49	  inference(flattening,[],[f4])).
0.06/0.49	tff(f34,plain,(
0.06/0.49	  ! [X0 : $real] : (sqrt($product(X0,X0)) = X0 | $less(X0,0.0))),
0.06/0.49	  inference(ennf_transformation,[],[f28])).
0.06/0.49	tff(f39,plain,(
0.06/0.49	  sqrt(0.0) != 0.0),
0.06/0.49	  inference(cnf_transformation,[],[f31])).
0.06/0.49	tff(f43,plain,(
0.06/0.49	  ( ! [X0:$real] : (sqrt($product(X0,X0)) = X0 | $less(X0,0.0)) )),
0.06/0.49	  inference(cnf_transformation,[],[f34])).
0.06/0.49	tff(f49,plain,(
0.06/0.49	  ( ! [X0:$real,X1:$real] : ($less(X0,0.0) | sqrt(X1) = X0 | $product(X0,X0) != X1) )),
0.06/0.49	  inference(theory_flattening,[],[f43])).
0.06/0.49	tff(f56,plain,(
0.06/0.49	  spl0_1 <=> sqrt(0.0) != 0.0),
0.06/0.49	  introduced(avatar_definition,[new_symbols(naming,[spl0_1])])).
0.06/0.49	tff(f57,plain,(
0.06/0.49	  sqrt(0.0) != 0.0 | ~spl0_1),
0.06/0.49	  inference(avatar_component_clause,[],[f56])).
0.06/0.49	tff(f58,plain,(
0.06/0.49	  ~spl0_1),
0.06/0.49	  inference(avatar_split_clause,[],[f39,f56])).
0.06/0.49	tff(f59,plain,(
0.06/0.49	  0.0 != $product(0.0,0.0) | ~spl0_1),
0.06/0.49	  inference(unit_resulting_resolution,[],[f14,f57,f49])).
0.06/0.49	tff(f60,plain,(
0.06/0.49	  $less(0.0,0.0) | ~spl0_1),
0.06/0.49	  inference(unit_resulting_resolution,[],[f23,f57,f49])).
0.06/0.49	tff(f61,plain,(
0.06/0.49	  $false | ~spl0_1),
0.06/0.49	  inference(unit_resulting_resolution,[],[f14,f23,f57,f49])).
0.06/0.49	tff(f123,plain,(
0.06/0.49	  $false | ~spl0_1),
0.06/0.49	  inference(evaluation,[],[f59])).
0.06/0.49	tff(f124,plain,(
0.06/0.49	  spl0_1),
0.06/0.49	  inference(avatar_contradiction_clause,[],[f123])).
0.06/0.49	tff(f125,plain,(
0.06/0.49	  $false | ~spl0_1),
0.06/0.49	  inference(evaluation,[],[f60])).
0.06/0.49	tff(f126,plain,(
0.06/0.49	  spl0_1),
0.06/0.49	  inference(avatar_contradiction_clause,[],[f125])).
0.06/0.49	tff(f127,plain,(
0.06/0.49	  spl0_1),
0.06/0.49	  inference(avatar_contradiction_clause,[],[f61])).
0.06/0.49	tff(f186,plain,(
0.06/0.49	  $false),
0.06/0.49	  inference(avatar_sat_refutation,[],[f58,f124,f126,f127])).
0.06/0.49	% SZS output end Proof for theBenchmark
0.06/0.49	% ------------------------------
0.06/0.49	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.06/0.49	% Termination reason: Refutation
0.06/0.49	
0.06/0.49	% Memory used [KB]: 5117
0.06/0.49	% Time elapsed: 0.036 s
0.06/0.49	% ------------------------------
0.06/0.49	% ------------------------------
0.06/0.49	% Success in time 0.069 s
0.13/0.63	EOF
