0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.04	% Command    : vampire --mode casc -t %d %s
0.03/0.24	% Computer   : n032.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   : Fri Jul 13 14:53:11 CDT 2018
0.03/0.24	% CPUTime    : 
0.06/0.28	% lrs-11_4:1_afp=4000:afq=2.0:anc=none:br=off:gs=on:lwlo=on:nm=64:nwc=3:stl=30:urr=on_2 on theBenchmark
0.06/0.30	% Refutation found. Thanks to Tanya!
0.06/0.30	% SZS status Theorem for theBenchmark
0.06/0.30	% SZS output start Proof for theBenchmark
0.06/0.30	fof(f5,axiom,(
0.06/0.30	  ! [X0,X1] : (! [X3] : (model(X3,X0) => model(X3,X1)) <=> status(X0,X1,thm))),
0.06/0.30	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
0.06/0.30	fof(f17,axiom,(
0.06/0.30	  ! [X0,X1] : (status(X0,X1,wec) <=> (! [X2] : (model(X2,X0) => model(X2,X1)) & ? [X4] : (model(X4,X1) & ~model(X4,X0)) & ? [X3] : model(X3,X0)))),
0.06/0.30	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wec)).
0.06/0.30	fof(f23,axiom,(
0.06/0.30	  ? [X8] : (? [X3] : model(X3,X8) & ? [X2] : ~model(X2,X8))),
0.06/0.30	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',satisfiable)).
0.06/0.30	fof(f28,axiom,(
0.06/0.30	  ! [X6,X7] : (? [X0,X1] : (status(X0,X1,X7) & status(X0,X1,X6)) <=> mighta(X6,X7))),
0.06/0.30	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta)).
0.06/0.30	fof(f30,axiom,(
0.06/0.30	  ? [X8] : ! [X9] : model(X9,X8)),
0.06/0.30	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',tautology)).
0.06/0.30	fof(f31,axiom,(
0.06/0.30	  ! [X9,X8] : (~model(X9,not(X8)) <=> model(X9,X8))),
0.06/0.30	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not)).
0.06/0.30	fof(f33,conjecture,(
0.06/0.30	  mighta(wec,thm)),
0.06/0.30	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mighta_wec_thm)).
0.06/0.30	fof(f34,negated_conjecture,(
0.06/0.30	  ~mighta(wec,thm)),
0.06/0.30	  inference(negated_conjecture,[],[f33])).
0.06/0.30	fof(f35,plain,(
0.06/0.30	  ~mighta(wec,thm)),
0.06/0.30	  inference(flattening,[],[f34])).
0.06/0.30	fof(f39,plain,(
0.06/0.30	  ! [X0,X1] : (~model(X0,not(X1)) <=> model(X0,X1))),
0.06/0.30	  inference(rectify,[],[f31])).
0.06/0.30	fof(f45,plain,(
0.06/0.30	  ! [X0,X1] : (status(X0,X1,wec) <=> (! [X2] : (model(X2,X0) => model(X2,X1)) & ? [X3] : (model(X3,X1) & ~model(X3,X0)) & ? [X4] : model(X4,X0)))),
0.06/0.30	  inference(rectify,[],[f17])).
0.06/0.30	fof(f51,plain,(
0.06/0.30	  ! [X0,X1] : (! [X2] : (model(X2,X0) => model(X2,X1)) <=> status(X0,X1,thm))),
0.06/0.30	  inference(rectify,[],[f5])).
0.06/0.30	fof(f55,plain,(
0.06/0.30	  ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) <=> mighta(X0,X1))),
0.06/0.30	  inference(rectify,[],[f28])).
0.06/0.30	fof(f57,plain,(
0.06/0.30	  ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0))),
0.06/0.30	  inference(rectify,[],[f23])).
0.06/0.30	fof(f59,plain,(
0.06/0.30	  ? [X0] : ! [X1] : model(X1,X0)),
0.06/0.30	  inference(rectify,[],[f30])).
0.06/0.30	fof(f63,plain,(
0.06/0.30	  ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) => mighta(X0,X1))),
0.06/0.30	  inference(unused_predicate_definition_removal,[],[f55])).
0.06/0.30	fof(f66,plain,(
0.06/0.30	  ! [X0,X1] : (status(X0,X1,wec) <=> (! [X2] : (model(X2,X1) | ~model(X2,X0)) & ? [X3] : (model(X3,X1) & ~model(X3,X0)) & ? [X4] : model(X4,X0)))),
0.06/0.30	  inference(ennf_transformation,[],[f45])).
0.06/0.30	fof(f72,plain,(
0.06/0.30	  ! [X0,X1] : (! [X2] : (model(X2,X1) | ~model(X2,X0)) <=> status(X0,X1,thm))),
0.06/0.30	  inference(ennf_transformation,[],[f51])).
0.06/0.30	fof(f73,plain,(
0.06/0.30	  ! [X0,X1] : (mighta(X0,X1) | ! [X2,X3] : (~status(X2,X3,X1) | ~status(X2,X3,X0)))),
0.06/0.30	  inference(ennf_transformation,[],[f63])).
0.06/0.30	fof(f75,plain,(
0.06/0.30	  ! [X0,X1] : ((~model(X0,not(X1)) | ~model(X0,X1)) & (model(X0,X1) | model(X0,not(X1))))),
0.06/0.30	  inference(nnf_transformation,[],[f39])).
0.06/0.30	fof(f122,plain,(
0.06/0.30	  ! [X0,X1] : ((status(X0,X1,wec) | (? [X2] : (~model(X2,X1) & model(X2,X0)) | ! [X3] : (~model(X3,X1) | model(X3,X0)) | ! [X4] : ~model(X4,X0))) & ((! [X2] : (model(X2,X1) | ~model(X2,X0)) & ? [X3] : (model(X3,X1) & ~model(X3,X0)) & ? [X4] : model(X4,X0)) | ~status(X0,X1,wec)))),
0.06/0.30	  inference(nnf_transformation,[],[f66])).
0.06/0.30	fof(f123,plain,(
0.06/0.30	  ! [X0,X1] : ((status(X0,X1,wec) | ? [X2] : (~model(X2,X1) & model(X2,X0)) | ! [X3] : (~model(X3,X1) | model(X3,X0)) | ! [X4] : ~model(X4,X0)) & ((! [X2] : (model(X2,X1) | ~model(X2,X0)) & ? [X3] : (model(X3,X1) & ~model(X3,X0)) & ? [X4] : model(X4,X0)) | ~status(X0,X1,wec)))),
0.06/0.30	  inference(flattening,[],[f122])).
0.06/0.30	fof(f124,plain,(
0.06/0.30	  ! [X0,X1] : ((status(X0,X1,wec) | ? [X2] : (~model(X2,X1) & model(X2,X0)) | ! [X3] : (~model(X3,X1) | model(X3,X0)) | ! [X4] : ~model(X4,X0)) & ((! [X5] : (model(X5,X1) | ~model(X5,X0)) & ? [X6] : (model(X6,X1) & ~model(X6,X0)) & ? [X7] : model(X7,X0)) | ~status(X0,X1,wec)))),
0.06/0.30	  inference(rectify,[],[f123])).
0.06/0.30	fof(f125,plain,(
0.06/0.30	  ! [X1,X0] : (? [X2] : (~model(X2,X1) & model(X2,X0)) => (~model(sK18(X0,X1),X1) & model(sK18(X0,X1),X0)))),
0.06/0.30	  introduced(choice_axiom,[])).
0.06/0.30	fof(f126,plain,(
0.06/0.30	  ! [X1,X0] : (? [X6] : (model(X6,X1) & ~model(X6,X0)) => (model(sK19(X0,X1),X1) & ~model(sK19(X0,X1),X0)))),
0.06/0.30	  introduced(choice_axiom,[])).
0.06/0.30	fof(f127,plain,(
0.06/0.30	  ! [X0] : (? [X7] : model(X7,X0) => model(sK20(X0),X0))),
0.06/0.30	  introduced(choice_axiom,[])).
0.06/0.30	fof(f128,plain,(
0.06/0.30	  ! [X0,X1] : ((status(X0,X1,wec) | (~model(sK18(X0,X1),X1) & model(sK18(X0,X1),X0)) | ! [X3] : (~model(X3,X1) | model(X3,X0)) | ! [X4] : ~model(X4,X0)) & ((! [X5] : (model(X5,X1) | ~model(X5,X0)) & (model(sK19(X0,X1),X1) & ~model(sK19(X0,X1),X0)) & model(sK20(X0),X0)) | ~status(X0,X1,wec)))),
0.06/0.30	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f124,f127,f126,f125])).
0.06/0.30	fof(f175,plain,(
0.06/0.30	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))))),
0.06/0.30	  inference(nnf_transformation,[],[f72])).
0.06/0.30	fof(f176,plain,(
0.06/0.30	  ! [X0,X1] : ((! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)) & (status(X0,X1,thm) | ? [X3] : (~model(X3,X1) & model(X3,X0))))),
0.06/0.30	  inference(rectify,[],[f175])).
0.06/0.30	fof(f177,plain,(
0.06/0.30	  ! [X1,X0] : (? [X3] : (~model(X3,X1) & model(X3,X0)) => (~model(sK38(X0,X1),X1) & model(sK38(X0,X1),X0)))),
0.06/0.30	  introduced(choice_axiom,[])).
0.06/0.30	fof(f178,plain,(
0.06/0.30	  ! [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))))),
0.06/0.30	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK38])],[f176,f177])).
0.06/0.30	fof(f188,plain,(
0.06/0.30	  ? [X0] : (? [X1] : model(X1,X0) & ? [X2] : ~model(X2,X0)) => (? [X1] : model(X1,sK41) & ? [X2] : ~model(X2,sK41))),
0.06/0.30	  introduced(choice_axiom,[])).
0.06/0.30	fof(f189,plain,(
0.06/0.30	  ( ! [X0] : (? [X1] : model(X1,X0) => model(sK42,X0)) )),
0.06/0.30	  introduced(choice_axiom,[])).
0.06/0.30	fof(f190,plain,(
0.06/0.30	  ( ! [X0] : (? [X2] : ~model(X2,X0) => ~model(sK43,X0)) )),
0.06/0.30	  introduced(choice_axiom,[])).
0.06/0.30	fof(f191,plain,(
0.06/0.30	  model(sK42,sK41) & ~model(sK43,sK41)),
0.06/0.30	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43])],[f57,f190,f189,f188])).
0.06/0.30	fof(f194,plain,(
0.06/0.30	  ? [X0] : ! [X1] : model(X1,X0) => ! [X1] : model(X1,sK45)),
0.06/0.30	  introduced(choice_axiom,[])).
0.06/0.30	fof(f195,plain,(
0.06/0.30	  ! [X1] : model(X1,sK45)),
0.06/0.30	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK45])],[f59,f194])).
0.06/0.30	fof(f208,plain,(
0.06/0.30	  ~mighta(wec,thm)),
0.06/0.30	  inference(cnf_transformation,[],[f35])).
0.06/0.30	fof(f209,plain,(
0.06/0.30	  ( ! [X0,X1] : (model(X0,not(X1)) | model(X0,X1)) )),
0.06/0.30	  inference(cnf_transformation,[],[f75])).
0.06/0.30	fof(f210,plain,(
0.06/0.30	  ( ! [X0,X1] : (~model(X0,not(X1)) | ~model(X0,X1)) )),
0.06/0.30	  inference(cnf_transformation,[],[f75])).
0.06/0.30	fof(f247,plain,(
0.06/0.30	  ( ! [X4,X0,X3,X1] : (status(X0,X1,wec) | ~model(sK18(X0,X1),X1) | ~model(X3,X1) | model(X3,X0) | ~model(X4,X0)) )),
0.06/0.30	  inference(cnf_transformation,[],[f128])).
0.06/0.30	fof(f276,plain,(
0.06/0.30	  ( ! [X0,X1] : (status(X0,X1,thm) | ~model(sK38(X0,X1),X1)) )),
0.06/0.30	  inference(cnf_transformation,[],[f178])).
0.06/0.30	fof(f284,plain,(
0.06/0.30	  ( ! [X2,X0,X3,X1] : (mighta(X0,X1) | ~status(X2,X3,X1) | ~status(X2,X3,X0)) )),
0.06/0.30	  inference(cnf_transformation,[],[f73])).
0.06/0.30	fof(f287,plain,(
0.06/0.30	  ~model(sK43,sK41)),
0.06/0.30	  inference(cnf_transformation,[],[f191])).
0.06/0.30	fof(f288,plain,(
0.06/0.30	  model(sK42,sK41)),
0.06/0.30	  inference(cnf_transformation,[],[f191])).
0.06/0.30	fof(f290,plain,(
0.06/0.30	  ( ! [X1] : (model(X1,sK45)) )),
0.06/0.30	  inference(cnf_transformation,[],[f195])).
0.06/0.30	fof(f318,plain,(
0.06/0.30	  model(sK43,not(sK41))),
0.06/0.30	  inference(unit_resulting_resolution,[],[f287,f209])).
0.06/0.30	fof(f324,plain,(
0.06/0.30	  ~model(sK42,not(sK41))),
0.06/0.30	  inference(unit_resulting_resolution,[],[f288,f210])).
0.06/0.30	fof(f541,plain,(
0.06/0.30	  ( ! [X0] : (status(X0,sK45,thm)) )),
0.06/0.30	  inference(unit_resulting_resolution,[],[f290,f276])).
0.06/0.30	fof(f2364,plain,(
0.06/0.30	  ( ! [X0] : (~status(X0,sK45,wec)) )),
0.06/0.30	  inference(unit_resulting_resolution,[],[f208,f541,f284])).
0.06/0.30	fof(f2405,plain,(
0.06/0.30	  $false),
0.06/0.30	  inference(unit_resulting_resolution,[],[f318,f324,f290,f290,f2364,f247])).
0.06/0.30	% SZS output end Proof for theBenchmark
0.06/0.30	% ------------------------------
0.06/0.30	% Version: Vampire 4.2.2 (commit 552c234 on 2018-07-02 14:53:33 +0100)
0.06/0.30	% Termination reason: Refutation
0.06/0.30	
0.06/0.30	% Memory used [KB]: 11129
0.06/0.30	% Time elapsed: 0.026 s
0.06/0.30	% ------------------------------
0.06/0.30	% ------------------------------
0.06/0.31	% Success in time 0.06 s
0.06/0.32	EOF