0.02/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.04	% Command    : vampire --mode casc -t %d %s
0.03/0.24	% Computer   : n067.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 04:33:40 CDT 2018
0.03/0.25	% CPUTime    : 
0.06/0.28	% dis+11_6_add=large:afr=on:afp=100000:afq=1.2:amm=off:anc=none:cond=fast:gs=on:gsaa=from_current:gsem=off:irw=on:lma=on:lwlo=on:nm=64:nwc=1:sas=z3:sos=on:sp=occurrence:tha=off:thi=strong:updr=off_2 on theBenchmark
0.06/0.31	% Refutation found. Thanks to Tanya!
0.06/0.31	% SZS status Theorem for theBenchmark
0.06/0.31	% SZS output start Proof for theBenchmark
0.06/0.31	tff(func_def_1, type, sK0: $int).
0.06/0.31	tff(func_def_2, type, sK1: $int).
0.06/0.31	tff(func_def_3, type, sK2: $int).
0.06/0.31	tff(func_def_4, type, sK3: $int).
0.06/0.31	tff(func_def_5, type, sK4: $int).
0.06/0.31	tff(func_def_6, type, sK5: $int).
0.06/0.31	tff(func_def_7, type, sK6: $int).
0.06/0.31	tff(f1,conjecture,(
0.06/0.31	  ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (($sum(X0,X1) = X3 & $sum(X3,X2) = X4 & $sum(X1,X2) = X5 & $sum(X0,X5) = X6) => X4 = X6)),
0.06/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associative_sum_forall)).
0.06/0.31	tff(f2,negated_conjecture,(
0.06/0.31	  ~! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (($sum(X0,X1) = X3 & $sum(X3,X2) = X4 & $sum(X1,X2) = X5 & $sum(X0,X5) = X6) => X4 = X6)),
0.06/0.31	  inference(negated_conjecture,[],[f1])).
0.06/0.31	tff(f3,plain,(
0.06/0.31	  ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (X4 != X6 & ($sum(X0,X1) = X3 & $sum(X3,X2) = X4 & $sum(X1,X2) = X5 & $sum(X0,X5) = X6))),
0.06/0.31	  inference(ennf_transformation,[],[f2])).
0.06/0.31	tff(f4,plain,(
0.06/0.31	  ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (X4 != X6 & $sum(X0,X1) = X3 & $sum(X3,X2) = X4 & $sum(X1,X2) = X5 & $sum(X0,X5) = X6)),
0.06/0.31	  inference(flattening,[],[f3])).
0.06/0.31	tff(f5,plain,(
0.06/0.31	  ? [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : $int,X5 : $int,X6 : $int] : (X4 != X6 & $sum(X0,X1) = X3 & $sum(X3,X2) = X4 & $sum(X1,X2) = X5 & $sum(X0,X5) = X6) => (sK4 != sK6 & $sum(sK0,sK1) = sK3 & $sum(sK3,sK2) = sK4 & $sum(sK1,sK2) = sK5 & $sum(sK0,sK5) = sK6)),
0.06/0.31	  introduced(choice_axiom,[])).
0.06/0.31	tff(f6,plain,(
0.06/0.31	  sK4 != sK6 & $sum(sK0,sK1) = sK3 & $sum(sK3,sK2) = sK4 & $sum(sK1,sK2) = sK5 & $sum(sK0,sK5) = sK6),
0.06/0.31	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5,sK6])],[f4,f5])).
0.06/0.31	tff(f7,plain,(
0.06/0.31	  $sum(sK0,sK5) = sK6),
0.06/0.31	  inference(cnf_transformation,[],[f6])).
0.06/0.31	tff(f8,plain,(
0.06/0.31	  $sum(sK1,sK2) = sK5),
0.06/0.31	  inference(cnf_transformation,[],[f6])).
0.06/0.31	tff(f9,plain,(
0.06/0.31	  $sum(sK3,sK2) = sK4),
0.06/0.31	  inference(cnf_transformation,[],[f6])).
0.06/0.31	tff(f10,plain,(
0.06/0.31	  $sum(sK0,sK1) = sK3),
0.06/0.31	  inference(cnf_transformation,[],[f6])).
0.06/0.31	tff(f11,plain,(
0.06/0.31	  sK4 != sK6),
0.06/0.31	  inference(cnf_transformation,[],[f6])).
0.06/0.31	tff(f16,plain,(
0.06/0.31	  spl7_1 <=> sK4 != sK6),
0.06/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl7_1])])).
0.06/0.31	tff(f18,plain,(
0.06/0.31	  ~spl7_1),
0.06/0.31	  inference(avatar_split_clause,[],[f11,f16])).
0.06/0.31	tff(f23,plain,(
0.06/0.31	  spl7_2 <=> $sum(sK0,sK1) = sK3),
0.06/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl7_2])])).
0.06/0.31	tff(f25,plain,(
0.06/0.31	  spl7_2),
0.06/0.31	  inference(avatar_split_clause,[],[f10,f23])).
0.06/0.31	tff(f30,plain,(
0.06/0.31	  spl7_4 <=> $sum(sK3,sK2) = sK4),
0.06/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl7_4])])).
0.06/0.31	tff(f32,plain,(
0.06/0.31	  spl7_4),
0.06/0.31	  inference(avatar_split_clause,[],[f9,f30])).
0.06/0.31	tff(f37,plain,(
0.06/0.31	  spl7_6 <=> $sum(sK1,sK2) = sK5),
0.06/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl7_6])])).
0.06/0.31	tff(f39,plain,(
0.06/0.31	  spl7_6),
0.06/0.31	  inference(avatar_split_clause,[],[f8,f37])).
0.06/0.31	tff(f44,plain,(
0.06/0.31	  spl7_8 <=> $sum(sK0,sK5) = sK6),
0.06/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl7_8])])).
0.06/0.31	tff(f46,plain,(
0.06/0.31	  spl7_8),
0.06/0.31	  inference(avatar_split_clause,[],[f7,f44])).
0.06/0.31	tff(f47,plain,(
0.06/0.31	  $false),
0.06/0.31	  inference(avatar_sat_refutation,[],[f18,f25,f32,f39,f46])).
0.06/0.31	% SZS output end Proof for theBenchmark
0.06/0.31	% ------------------------------
0.06/0.31	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.06/0.31	% Termination reason: Refutation
0.06/0.31	
0.06/0.31	% Memory used [KB]: 4989
0.06/0.31	% Time elapsed: 0.031 s
0.06/0.31	% ------------------------------
0.06/0.31	% ------------------------------
0.06/0.31	% Success in time 0.066 s
0.06/0.32	EOF