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
0.03/0.27	% Computer   : n183.star.cs.uiowa.edu
0.03/0.27	% Model      : x86_64 x86_64
0.03/0.27	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.03/0.27	% Memory     : 32218.625MB
0.03/0.27	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.03/0.27	% CPULimit   : 300
0.03/0.27	% DateTime   : Sat Jul 14 04:21:55 CDT 2018
0.03/0.27	% CPUTime    : 
0.08/0.31	% lrs+1011_8_add=large:afp=100000:afq=1.1:er=filter:gsp=input_only:gs=on:gsem=on:lma=on:nm=6:nwc=1:stl=30:sd=2:ss=axioms:st=1.5:sos=on_3 on theBenchmark
0.08/0.31	% Refutation found. Thanks to Tanya!
0.08/0.31	% SZS status Theorem for theBenchmark
0.08/0.31	% SZS output start Proof for theBenchmark
0.08/0.31	fof(f28,axiom,(
0.08/0.31	  ! [X0,X1] : ((member(X0,universal_class) & member(X1,universal_class)) => (second(ordered_pair(X0,X1)) = X1 & first(ordered_pair(X0,X1)) = X0))),
0.08/0.31	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',first_second)).
0.08/0.31	fof(f44,conjecture,(
0.08/0.31	  ! [X3,X4,X0] : ((member(X3,universal_class) & ordered_pair(X3,X4) = X0 & member(X4,universal_class)) => (first(X0) = X3 & second(X0) = X4))),
0.08/0.31	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_sets1)).
0.08/0.31	fof(f45,negated_conjecture,(
0.08/0.31	  ~! [X3,X4,X0] : ((member(X3,universal_class) & ordered_pair(X3,X4) = X0 & member(X4,universal_class)) => (first(X0) = X3 & second(X0) = X4))),
0.08/0.31	  inference(negated_conjecture,[],[f44])).
0.08/0.31	fof(f46,plain,(
0.08/0.31	  ~! [X0,X1,X2] : ((member(X0,universal_class) & ordered_pair(X0,X1) = X2 & member(X1,universal_class)) => (first(X2) = X0 & second(X2) = X1))),
0.08/0.31	  inference(rectify,[],[f45])).
0.08/0.31	fof(f49,plain,(
0.08/0.31	  ? [X0,X1,X2] : ((first(X2) != X0 | second(X2) != X1) & (member(X0,universal_class) & ordered_pair(X0,X1) = X2 & member(X1,universal_class)))),
0.08/0.31	  inference(ennf_transformation,[],[f46])).
0.08/0.31	fof(f50,plain,(
0.08/0.31	  ? [X0,X1,X2] : ((first(X2) != X0 | second(X2) != X1) & member(X0,universal_class) & ordered_pair(X0,X1) = X2 & member(X1,universal_class))),
0.08/0.31	  inference(flattening,[],[f49])).
0.08/0.31	fof(f52,plain,(
0.08/0.31	  ! [X0,X1] : ((second(ordered_pair(X0,X1)) = X1 & first(ordered_pair(X0,X1)) = X0) | (~member(X0,universal_class) | ~member(X1,universal_class)))),
0.08/0.31	  inference(ennf_transformation,[],[f28])).
0.08/0.31	fof(f53,plain,(
0.08/0.31	  ! [X0,X1] : ((second(ordered_pair(X0,X1)) = X1 & first(ordered_pair(X0,X1)) = X0) | ~member(X0,universal_class) | ~member(X1,universal_class))),
0.08/0.31	  inference(flattening,[],[f52])).
0.08/0.31	fof(f55,plain,(
0.08/0.31	  ? [X0,X1,X2] : ((first(X2) != X0 | second(X2) != X1) & member(X0,universal_class) & ordered_pair(X0,X1) = X2 & member(X1,universal_class)) => ((first(sK2) != sK0 | second(sK2) != sK1) & member(sK0,universal_class) & ordered_pair(sK0,sK1) = sK2 & member(sK1,universal_class))),
0.08/0.31	  introduced(choice_axiom,[])).
0.08/0.31	fof(f56,plain,(
0.08/0.31	  (first(sK2) != sK0 | second(sK2) != sK1) & member(sK0,universal_class) & ordered_pair(sK0,sK1) = sK2 & member(sK1,universal_class)),
0.08/0.31	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2])],[f50,f55])).
0.08/0.31	fof(f65,plain,(
0.08/0.31	  member(sK1,universal_class)),
0.08/0.31	  inference(cnf_transformation,[],[f56])).
0.08/0.31	fof(f66,plain,(
0.08/0.31	  ordered_pair(sK0,sK1) = sK2),
0.08/0.31	  inference(cnf_transformation,[],[f56])).
0.08/0.31	fof(f67,plain,(
0.08/0.31	  member(sK0,universal_class)),
0.08/0.31	  inference(cnf_transformation,[],[f56])).
0.08/0.31	fof(f68,plain,(
0.08/0.31	  first(sK2) != sK0 | second(sK2) != sK1),
0.08/0.31	  inference(cnf_transformation,[],[f56])).
0.08/0.31	fof(f70,plain,(
0.08/0.31	  ( ! [X0,X1] : (~member(X0,universal_class) | first(ordered_pair(X0,X1)) = X0 | ~member(X1,universal_class)) )),
0.08/0.31	  inference(cnf_transformation,[],[f53])).
0.08/0.31	fof(f71,plain,(
0.08/0.31	  ( ! [X0,X1] : (~member(X0,universal_class) | second(ordered_pair(X0,X1)) = X1 | ~member(X1,universal_class)) )),
0.08/0.31	  inference(cnf_transformation,[],[f53])).
0.08/0.31	fof(f88,plain,(
0.08/0.31	  spl4_1 <=> second(sK2) != sK1),
0.08/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl4_1])])).
0.08/0.31	fof(f89,plain,(
0.08/0.31	  second(sK2) != sK1 | ~spl4_1),
0.08/0.31	  inference(avatar_component_clause,[],[f88])).
0.08/0.31	fof(f91,plain,(
0.08/0.31	  spl4_2 <=> first(sK2) = sK0),
0.08/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl4_2])])).
0.08/0.31	fof(f94,plain,(
0.08/0.31	  spl4_3 <=> first(sK2) != sK0),
0.08/0.31	  introduced(avatar_definition,[new_symbols(naming,[spl4_3])])).
0.08/0.31	fof(f96,plain,(
0.08/0.31	  ~spl4_1 | ~spl4_3),
0.08/0.31	  inference(avatar_split_clause,[],[f68,f94,f88])).
0.08/0.31	fof(f101,plain,(
0.08/0.31	  ( ! [X0] : (first(ordered_pair(sK0,X0)) = sK0 | ~member(X0,universal_class)) )),
0.08/0.31	  inference(resolution,[],[f67,f70])).
0.08/0.31	fof(f102,plain,(
0.08/0.31	  ( ! [X1] : (second(ordered_pair(sK0,X1)) = X1 | ~member(X1,universal_class)) )),
0.08/0.31	  inference(resolution,[],[f67,f71])).
0.08/0.31	fof(f125,plain,(
0.08/0.31	  first(sK2) = sK0 | ~member(sK1,universal_class)),
0.08/0.31	  inference(superposition,[],[f101,f66])).
0.08/0.31	fof(f126,plain,(
0.08/0.31	  first(sK2) = sK0),
0.08/0.31	  inference(subsumption_resolution,[],[f125,f65])).
0.08/0.31	fof(f127,plain,(
0.08/0.31	  spl4_2),
0.08/0.31	  inference(avatar_split_clause,[],[f126,f91])).
0.08/0.31	fof(f128,plain,(
0.08/0.31	  second(sK2) = sK1 | ~member(sK1,universal_class)),
0.08/0.31	  inference(superposition,[],[f102,f66])).
0.08/0.31	fof(f129,plain,(
0.08/0.31	  ~member(sK1,universal_class) | ~spl4_1),
0.08/0.31	  inference(subsumption_resolution,[],[f128,f89])).
0.08/0.31	fof(f130,plain,(
0.08/0.31	  $false | ~spl4_1),
0.08/0.31	  inference(subsumption_resolution,[],[f129,f65])).
0.08/0.31	fof(f131,plain,(
0.08/0.31	  spl4_1),
0.08/0.31	  inference(avatar_contradiction_clause,[],[f130])).
0.08/0.31	fof(f132,plain,(
0.08/0.31	  $false),
0.08/0.31	  inference(avatar_sat_refutation,[],[f96,f127,f131])).
0.08/0.31	% SZS output end Proof for theBenchmark
0.08/0.31	% ------------------------------
0.08/0.31	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.08/0.31	% Termination reason: Refutation
0.08/0.31	
0.08/0.31	% Memory used [KB]: 9594
0.08/0.31	% Time elapsed: 0.004 s
0.08/0.31	% ------------------------------
0.08/0.31	% ------------------------------
0.08/0.31	% Success in time 0.038 s
0.08/0.35	EOF