0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : vampire -m 90000 --mode casc -t %d %s
0.02/0.24	% Computer   : n173.star.cs.uiowa.edu
0.02/0.24	% Model      : x86_64 x86_64
0.02/0.24	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.02/0.24	% Memory     : 32218.625MB
0.02/0.24	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.02/0.24	% CPULimit   : 300
0.02/0.24	% DateTime   : Sat Jul 14 04:31:39 CDT 2018
0.02/0.24	% CPUTime    : 
0.02/0.24	Hi Geoff, go and have some cold beer while I am trying to solve this very hard problem!
0.02/0.24	% remaining time: 5999 next slice time: 4
0.07/0.27	lrs+1010_5:4_afp=100000:afq=1.2:anc=none:cond=on:fsr=off:ile=on:irw=on:nm=64:nwc=1:stl=30:sac=on:sp=occurrence:urr=on_2 on theBenchmark
0.07/0.31	% Refutation found. Thanks to Tanya!
0.07/0.31	% SZS status Theorem for theBenchmark
0.07/0.31	% SZS output start Proof for theBenchmark
0.07/0.31	fof(f5,axiom,(
0.07/0.31	  ! [X0,X1] : (! [X3] : (model(X3,X0) => model(X3,X1)) <=> status(X0,X1,thm))),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
0.07/0.31	fof(f9,axiom,(
0.07/0.31	  ! [X0,X1] : (? [X3] : (model(X3,X1) & model(X3,X0)) <=> status(X0,X1,sat))),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',sat)).
0.07/0.31	fof(f23,axiom,(
0.07/0.31	  ? [X8] : (? [X3] : model(X3,X8) & ? [X2] : ~model(X2,X8))),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable)).
0.07/0.31	fof(f25,axiom,(
0.07/0.31	  ! [X6,X7] : (nota(X6,X7) <=> ? [X0,X1] : (~status(X0,X1,X7) & status(X0,X1,X6)))),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota)).
0.07/0.31	fof(f30,axiom,(
0.07/0.31	  ? [X8] : ! [X9] : model(X9,X8)),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology)).
0.07/0.31	fof(f33,conjecture,(
0.07/0.31	  nota(sat,thm)),
0.07/0.31	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',nota_sat_thm)).
0.07/0.31	fof(f34,negated_conjecture,(
0.07/0.31	  ~nota(sat,thm)),
0.07/0.31	  inference(negated_conjecture,[],[f33])).
0.07/0.31	fof(f35,plain,(
0.07/0.31	  ~nota(sat,thm)),
0.07/0.31	  inference(flattening,[],[f34])).
0.07/0.31	fof(f38,plain,(
0.07/0.31	  ! [X0,X1] : (nota(X0,X1) <=> ? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)))),
0.07/0.31	  inference(rectify,[],[f25])).
0.07/0.31	fof(f51,plain,(
0.07/0.31	  ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))),
0.07/0.31	  inference(rectify,[],[f5])).
0.07/0.31	fof(f53,plain,(
0.07/0.31	  ! [X0,X1] : (? [X2] : (model(X2,X1) & model(X2,X0)) <=> status(X0,X1,sat))),
0.07/0.31	  inference(rectify,[],[f9])).
0.07/0.31	fof(f57,plain,(
0.07/0.31	  ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0))),
0.07/0.31	  inference(rectify,[],[f23])).
0.07/0.31	fof(f59,plain,(
0.07/0.31	  ? [X0] : ! [X1] : model(X1,X0)),
0.07/0.31	  inference(rectify,[],[f30])).
0.07/0.31	fof(f63,plain,(
0.07/0.31	  ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) => nota(X0,X1))),
0.07/0.31	  inference(unused_predicate_definition_removal,[],[f38])).
0.07/0.31	fof(f64,plain,(
0.07/0.31	  ! [X0,X1] : (nota(X0,X1) | ! [X2,X3] : (status(X2,X3,X1) | ~status(X2,X3,X0)))),
0.07/0.31	  inference(ennf_transformation,[],[f63])).
0.07/0.31	fof(f73,plain,(
0.07/0.31	  ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))),
0.07/0.31	  inference(ennf_transformation,[],[f51])).
0.07/0.31	fof(f175,plain,(
0.07/0.31	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))),
0.07/0.31	  inference(nnf_transformation,[],[f73])).
0.07/0.31	fof(f176,plain,(
0.07/0.31	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))),
0.07/0.31	  inference(rectify,[],[f175])).
0.07/0.31	fof(f177,plain,(
0.07/0.31	  ! [X1,X0] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0)))),
0.07/0.31	  introduced(choice_axiom,[])).
0.07/0.31	fof(f178,plain,(
0.07/0.31	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0))))),
0.07/0.31	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f176,f177])).
0.07/0.31	fof(f179,plain,(
0.07/0.31	  ! [X0,X1] : ((? [X2] : (model(X2,X1) & model(X2,X0)) | ~status(X0,X1,sat)) & (status(X0,X1,sat) | ! [X2] : (~model(X2,X1) | ~model(X2,X0))))),
0.07/0.31	  inference(nnf_transformation,[],[f53])).
0.07/0.31	fof(f180,plain,(
0.07/0.31	  ! [X0,X1] : ((? [X2] : (model(X2,X1) & model(X2,X0)) | ~status(X0,X1,sat)) & (status(X0,X1,sat) | ! [X3] : (~model(X3,X1) | ~model(X3,X0))))),
0.07/0.31	  inference(rectify,[],[f179])).
0.07/0.31	fof(f181,plain,(
0.07/0.31	  ! [X1,X0] : (? [X2] : (model(X2,X1) & model(X2,X0)) => (model(sK39(X0,X1),X1) & model(sK39(X0,X1),X0)))),
0.07/0.31	  introduced(choice_axiom,[])).
0.07/0.31	fof(f182,plain,(
0.07/0.31	  ! [X0,X1] : (((model(sK39(X0,X1),X1) & model(sK39(X0,X1),X0)) | ~status(X0,X1,sat)) & (status(X0,X1,sat) | ! [X3] : (~model(X3,X1) | ~model(X3,X0))))),
0.07/0.31	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK39])],[f180,f181])).
0.07/0.31	fof(f188,plain,(
0.07/0.31	  ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0)) => (? [X1] : model(X1,sK41) & ? [X2] : ~model(X2,sK41))),
0.07/0.31	  introduced(choice_axiom,[])).
0.07/0.31	fof(f189,plain,(
0.07/0.31	  ( ! [X0] : (? [X1] : model(X1,X0) => model(sK42,X0)) )),
0.07/0.31	  introduced(choice_axiom,[])).
0.07/0.31	fof(f190,plain,(
0.07/0.31	  ( ! [X0] : (? [X2] : ~model(X2,X0) => ~model(sK43,X0)) )),
0.07/0.31	  introduced(choice_axiom,[])).
0.07/0.31	fof(f191,plain,(
0.07/0.31	  model(sK42,sK41) & ~model(sK43,sK41)),
0.07/0.31	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f57,f190,f189,f188])).
0.07/0.31	fof(f194,plain,(
0.07/0.31	  ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK45)),
0.07/0.31	  introduced(choice_axiom,[])).
0.07/0.31	fof(f195,plain,(
0.07/0.31	  ! [X1] : model(X1,sK45)),
0.07/0.31	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f59,f194])).
0.07/0.31	fof(f208,plain,(
0.07/0.31	  ~nota(sat,thm)),
0.07/0.31	  inference(cnf_transformation,[],[f35])).
0.07/0.31	fof(f209,plain,(
0.07/0.31	  ( ! [X2,X0,X3,X1] : (~status(X2,X3,X0) | status(X2,X3,X1) | nota(X0,X1)) )),
0.07/0.31	  inference(cnf_transformation,[],[f64])).
0.07/0.31	fof(f278,plain,(
0.07/0.31	  ( ! [X2,X0,X1] : (~status(X0,X1,thm) | ~model(X2,X0) | model(X2,X1)) )),
0.07/0.31	  inference(cnf_transformation,[],[f178])).
0.07/0.31	fof(f279,plain,(
0.07/0.31	  ( ! [X0,X3,X1] : (status(X0,X1,sat) | ~model(X3,X1) | ~model(X3,X0)) )),
0.07/0.31	  inference(cnf_transformation,[],[f182])).
0.07/0.31	fof(f287,plain,(
0.07/0.31	  ~model(sK43,sK41)),
0.07/0.31	  inference(cnf_transformation,[],[f191])).
0.07/0.31	fof(f288,plain,(
0.07/0.31	  model(sK42,sK41)),
0.07/0.31	  inference(cnf_transformation,[],[f191])).
0.07/0.31	fof(f290,plain,(
0.07/0.31	  ( ! [X1] : (model(X1,sK45)) )),
0.07/0.31	  inference(cnf_transformation,[],[f195])).
0.07/0.31	fof(f1384,plain,(
0.07/0.31	  ~status(sK45,sK41,thm)),
0.07/0.31	  inference(unit_resulting_resolution,[],[f287,f290,f278])).
0.07/0.31	fof(f1488,plain,(
0.07/0.31	  status(sK45,sK41,sat)),
0.07/0.31	  inference(unit_resulting_resolution,[],[f290,f288,f279])).
0.07/0.31	fof(f4876,plain,(
0.07/0.31	  $false),
0.07/0.31	  inference(unit_resulting_resolution,[],[f208,f1384,f1488,f209])).
0.07/0.31	% SZS output end Proof for theBenchmark
0.07/0.31	% ------------------------------
0.07/0.31	% Version: Vampire 4.2 (commit c955596 on 2017-07-21 22:07:53 +0100)
0.07/0.31	% Termination reason: Refutation
0.07/0.31	
0.07/0.31	% Memory used [KB]: 6396
0.07/0.31	% Time elapsed: 0.038 s
0.07/0.31	% ------------------------------
0.07/0.31	% ------------------------------
0.07/0.31	% Success in time 0.069 s
0.07/0.31	EOF