0.00/0.03	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.03	% Command    : run_vampire %s %d THM
0.10/0.38	% Computer   : n019.cluster.edu
0.10/0.38	% Model      : x86_64 x86_64
0.10/0.38	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.38	% Memory     : 8046.5625MB
0.10/0.38	% OS         : Linux 6.8.0-71-generic
0.10/0.38	% CPULimit   : 1440
0.10/0.38	% WCLimit    : 180
0.10/0.38	% DateTime   : Mon Jul 27 09:14:53 UTC 2026
0.10/0.39	% CPUTime    : 
0.10/0.43	This is a FOF_ problem
0.10/0.43	Running first-order theorem proving
0.10/0.43	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.17/0.49	% (2254981)Running in auto input_syntax mode. Trying TPTP
0.17/0.49	% (2254998)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=4072937985:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi)
0.17/0.50	% (2254998)First to succeed.
0.17/0.50	% (2254998)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2254981"
0.17/0.50	% (2254981)Running in auto input_syntax mode. Trying TPTP
0.17/0.50	% (2254998)Refutation found. Thanks to Tanya!
0.17/0.50	% SZS status Theorem for theBenchmark
0.17/0.50	% SZS output start Proof for theBenchmark
0.17/0.50	fof(f580,plain,(
0.17/0.50	  $false),
0.17/0.50	  inference(resolution,[],[f566,f285])).
0.17/0.50	fof(f285,plain,(
0.17/0.50	  ( ! [X0] : (~model(X0,not(sK43))) )),
0.17/0.50	  inference(resolution,[],[f273,f239])).
0.17/0.50	fof(f239,plain,(
0.17/0.50	  ( ! [X1] : (model(X1,sK43)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f145])).
0.17/0.50	fof(f145,plain,(
0.17/0.50	  ( ! [X1] : (~model(X1,sK43)) )),
0.17/0.50	  inference(cnf_transformation,[],[f43])).
0.17/0.50	fof(f43,plain,(
0.17/0.50	  ? [X0] : ! [X1] : ~model(X1,X0)),
0.17/0.50	  inference(rectify,[],[f24])).
0.17/0.50	fof(f24,axiom,(
0.17/0.50	  ? [X7] : ! [X6] : ~model(X6,X7)),
0.17/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.50	fof(f273,plain,(
0.17/0.50	  ( ! [X0,X1] : (~model(sK33(not(not(X1))),X1) | ~model(X0,not(X1))) )),
0.17/0.50	  inference(resolution,[],[f269,f238])).
0.17/0.50	fof(f238,plain,(
0.17/0.50	  ( ! [X0,X1] : (~model(X0,not(X1)) | ~model(X0,X1)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f143])).
0.17/0.50	fof(f143,plain,(
0.17/0.50	  ( ! [X0,X1] : (model(X0,not(X1)) | model(X0,X1)) )),
0.17/0.50	  inference(cnf_transformation,[],[f42])).
0.17/0.50	fof(f42,plain,(
0.17/0.50	  ! [X0,X1] : (model(X0,X1) <~> model(X0,not(X1)))),
0.17/0.50	  inference(rectify,[],[f23])).
0.17/0.50	fof(f23,axiom,(
0.17/0.50	  ! [X6,X7] : (model(X6,X7) <~> model(X6,not(X7)))),
0.17/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.50	fof(f269,plain,(
0.17/0.50	  ( ! [X0,X1] : (model(sK33(not(X0)),X0) | ~model(X1,X0)) )),
0.17/0.50	  inference(resolution,[],[f266,f238])).
0.17/0.50	fof(f266,plain,(
0.17/0.50	  ( ! [X0,X1] : (model(X0,not(X1)) | model(sK33(not(X1)),X1)) )),
0.17/0.50	  inference(resolution,[],[f264,f237])).
0.17/0.50	fof(f237,plain,(
0.17/0.50	  ( ! [X0,X1] : (model(X0,not(X1)) | model(X0,X1)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f144])).
0.17/0.50	fof(f144,plain,(
0.17/0.50	  ( ! [X0,X1] : (~model(X0,not(X1)) | ~model(X0,X1)) )),
0.17/0.50	  inference(cnf_transformation,[],[f42])).
0.17/0.50	fof(f264,plain,(
0.17/0.50	  ( ! [X0,X1] : (~model(sK33(X0),X0) | model(X1,X0)) )),
0.17/0.50	  inference(resolution,[],[f220,f221])).
0.17/0.50	fof(f221,plain,(
0.17/0.50	  ( ! [X2,X0,X1] : (~status(X0,X1,cax) | model(X2,X0)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f126])).
0.17/0.50	fof(f126,plain,(
0.17/0.50	  ( ! [X2,X0,X1] : (~status(X0,X1,cax) | ~model(X2,X0)) )),
0.17/0.50	  inference(cnf_transformation,[],[f61])).
0.17/0.50	fof(f61,plain,(
0.17/0.50	  ! [X0,X1] : (! [X2] : ~model(X2,X0) <=> status(X0,X1,cax))),
0.17/0.50	  inference(ennf_transformation,[],[f17])).
0.17/0.50	fof(f17,axiom,(
0.17/0.50	  ! [X0,X1] : (~? [X2] : model(X2,X0) <=> status(X0,X1,cax))),
0.17/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.50	fof(f220,plain,(
0.17/0.50	  ( ! [X0,X1] : (status(X0,X1,cax) | ~model(sK33(X0),X0)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f127])).
0.17/0.50	fof(f127,plain,(
0.17/0.50	  ( ! [X0,X1] : (status(X0,X1,cax) | model(sK33(X0),X0)) )),
0.17/0.50	  inference(cnf_transformation,[],[f61])).
0.17/0.50	fof(f566,plain,(
0.17/0.50	  ( ! [X0] : (model(sK23(sK53,X0),X0)) )),
0.17/0.50	  inference(resolution,[],[f409,f248])).
0.17/0.50	fof(f248,plain,(
0.17/0.50	  ( ! [X1] : (~model(X1,sK53)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f154])).
0.17/0.50	fof(f154,plain,(
0.17/0.50	  ( ! [X1] : (model(X1,sK53)) )),
0.17/0.50	  inference(cnf_transformation,[],[f48])).
0.17/0.50	fof(f48,plain,(
0.17/0.50	  ? [X0] : ! [X1] : model(X1,X0)),
0.17/0.50	  inference(rectify,[],[f29])).
0.17/0.50	fof(f29,axiom,(
0.17/0.50	  ? [X7] : ! [X6] : model(X6,X7)),
0.17/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.50	fof(f409,plain,(
0.17/0.50	  ( ! [X0,X1] : (model(sK8(X0,X1),X0) | model(sK23(X0,X1),X1)) )),
0.17/0.50	  inference(resolution,[],[f407,f204])).
0.17/0.50	fof(f204,plain,(
0.17/0.50	  ( ! [X0,X1] : (status(X0,X1,thm) | model(sK23(X0,X1),X1)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f112])).
0.17/0.50	fof(f112,plain,(
0.17/0.50	  ( ! [X0,X1] : (~model(sK23(X0,X1),X1) | status(X0,X1,thm)) )),
0.17/0.50	  inference(cnf_transformation,[],[f58])).
0.17/0.50	fof(f58,plain,(
0.17/0.50	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))),
0.17/0.50	  inference(ennf_transformation,[],[f12])).
0.17/0.50	fof(f12,axiom,(
0.17/0.50	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))),
0.17/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.50	fof(f407,plain,(
0.17/0.50	  ( ! [X0,X1] : (~status(X0,X1,thm) | model(sK8(X0,X1),X0)) )),
0.17/0.50	  inference(subsumption_resolution,[],[f404,f206])).
0.17/0.50	fof(f206,plain,(
0.17/0.50	  ( ! [X2,X0,X1] : (~status(X0,X1,thm) | ~model(X2,X1) | model(X2,X0)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f110])).
0.17/0.50	fof(f110,plain,(
0.17/0.50	  ( ! [X2,X0,X1] : (~model(X2,X0) | model(X2,X1) | ~status(X0,X1,thm)) )),
0.17/0.50	  inference(cnf_transformation,[],[f58])).
0.17/0.50	fof(f404,plain,(
0.17/0.50	  ( ! [X0,X1] : (model(sK8(X0,X1),X1) | model(sK8(X0,X1),X0) | ~status(X0,X1,thm)) )),
0.17/0.50	  inference(resolution,[],[f176,f365])).
0.17/0.50	fof(f365,plain,(
0.17/0.50	  ( ! [X0,X1] : (~status(X0,X1,tau) | ~status(X0,X1,thm)) )),
0.17/0.50	  inference(resolution,[],[f249,f252])).
0.17/0.50	fof(f252,plain,(
0.17/0.50	  mighta(tau,thm)),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f158])).
0.17/0.50	fof(f158,plain,(
0.17/0.50	  ~mighta(tau,thm)),
0.17/0.50	  inference(cnf_transformation,[],[f52])).
0.17/0.50	fof(f52,plain,(
0.17/0.50	  ~mighta(tau,thm)),
0.17/0.50	  inference(flattening,[],[f34])).
0.17/0.50	fof(f34,negated_conjecture,(
0.17/0.50	  ~mighta(tau,thm)),
0.17/0.50	  inference(negated_conjecture,[status(cth)],[f33])).
0.17/0.50	fof(f33,conjecture,(
0.17/0.50	  mighta(tau,thm)),
0.17/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.50	fof(f249,plain,(
0.17/0.50	  ( ! [X2,X3,X0,X1] : (~mighta(X0,X1) | ~status(X2,X3,X1) | ~status(X2,X3,X0)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f155])).
0.17/0.50	fof(f155,plain,(
0.17/0.50	  ( ! [X2,X3,X0,X1] : (~status(X2,X3,X0) | ~status(X2,X3,X1) | mighta(X0,X1)) )),
0.17/0.50	  inference(cnf_transformation,[],[f64])).
0.17/0.50	fof(f64,plain,(
0.17/0.50	  ! [X0,X1] : (mighta(X0,X1) | ! [X2,X3] : (~status(X2,X3,X1) | ~status(X2,X3,X0)))),
0.17/0.50	  inference(ennf_transformation,[],[f53])).
0.17/0.50	fof(f53,plain,(
0.17/0.50	  ! [X0,X1] : (? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)) => mighta(X0,X1))),
0.17/0.50	  inference(unused_predicate_definition_removal,[],[f50])).
0.17/0.50	fof(f50,plain,(
0.17/0.50	  ! [X0,X1] : (mighta(X0,X1) <=> ? [X2,X3] : (status(X2,X3,X1) & status(X2,X3,X0)))),
0.17/0.50	  inference(rectify,[],[f31])).
0.17/0.50	fof(f31,axiom,(
0.17/0.50	  ! [X8,X9] : (mighta(X8,X9) <=> ? [X0,X1] : (status(X0,X1,X9) & status(X0,X1,X8)))),
0.17/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.50	fof(f176,plain,(
0.17/0.50	  ( ! [X0,X1] : (status(X0,X1,tau) | model(sK8(X0,X1),X1) | model(sK8(X0,X1),X0)) )),
0.17/0.50	  inference(consistent_polarity_flipping,[],[f84])).
0.17/0.50	fof(f84,plain,(
0.17/0.50	  ( ! [X0,X1] : (~model(sK8(X0,X1),X0) | ~model(sK8(X0,X1),X1) | status(X0,X1,tau)) )),
0.17/0.50	  inference(cnf_transformation,[],[f5])).
0.17/0.50	fof(f5,axiom,(
0.17/0.50	  ! [X0,X1] : (status(X0,X1,tau) <=> ! [X2] : (model(X2,X1) & model(X2,X0)))),
0.17/0.50	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.17/0.50	% SZS output end Proof for theBenchmark
0.17/0.50	% (2254998)------------------------------
0.17/0.50	% (2254998)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.17/0.50	% (2254998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.50	% (2254998)Termination reason: Refutation
0.17/0.50	
0.17/0.50	% (2254998)Time elapsed: 0.007 s
0.17/0.50	% (2254998)Peak memory usage: 12 MB
0.17/0.50	% (2254998)Instructions burned: 18 (million)
0.17/0.50	% (2254998)------------------------------
0.17/0.50	% (2254998)------------------------------
0.17/0.50	% (2254981)Success in time 0.066 s
0.17/0.50	EOF