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
0.10/0.34	% Computer   : n004.cluster.edu
0.10/0.34	% Model      : x86_64 x86_64
0.10/0.34	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.34	% Memory     : 8046.5625MB
0.10/0.34	% OS         : Linux 6.8.0-71-generic
0.10/0.35	% CPULimit   : 1440
0.10/0.35	% WCLimit    : 180
0.10/0.35	% DateTime   : Mon Jul 27 09:42:53 UTC 2026
0.10/0.35	% CPUTime    : 
0.17/0.38	This is a FOF_ problem
0.17/0.39	Running first-order theorem proving
0.17/0.39	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.17/0.45	% (2829987)Running in auto input_syntax mode. Trying TPTP
0.17/0.45	% (2829990)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=516518727:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi)
0.17/0.45	% (2829990)First to succeed.
0.17/0.45	% (2829990)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2829987"
0.17/0.45	% (2829987)Running in auto input_syntax mode. Trying TPTP
0.17/0.45	% (2829990)Refutation found. Thanks to Tanya!
0.17/0.45	% SZS status Theorem for theBenchmark
0.17/0.45	% SZS output start Proof for theBenchmark
0.17/0.45	fof(f665,plain,(
0.17/0.45	  $false),
0.17/0.45	  inference(subsumption_resolution,[],[f664,f294])).
0.17/0.45	fof(f294,plain,(
0.17/0.45	  ~isa(wca,thm)),
0.17/0.45	  inference(cnf_transformation,[],[f52])).
0.17/0.45	fof(f52,plain,(
0.17/0.45	  ~isa(wca,thm)),
0.17/0.45	  inference(flattening,[],[f34])).
0.17/0.45	fof(f34,negated_conjecture,(
0.17/0.45	  ~isa(wca,thm)),
0.17/0.45	  inference(negated_conjecture,[status(cth)],[f33])).
0.17/0.45	fof(f33,conjecture,(
0.17/0.45	  isa(wca,thm)),
0.17/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.17/0.45	fof(f664,plain,(
0.17/0.45	  isa(wca,thm)),
0.17/0.45	  inference(duplicate_literal_removal,[],[f662])).
0.17/0.45	fof(f662,plain,(
0.17/0.45	  isa(wca,thm) | isa(wca,thm)),
0.17/0.45	  inference(resolution,[],[f502,f290])).
0.17/0.45	fof(f290,plain,(
0.17/0.45	  ( ! [X0,X1] : (~status(sK55(X0,X1),sK56(X0,X1),X1) | isa(X0,X1)) )),
0.17/0.45	  inference(cnf_transformation,[],[f193])).
0.17/0.45	fof(f193,plain,(
0.17/0.45	  ! [X0,X1] : (isa(X0,X1) | (~status(sK55(X0,X1),sK56(X0,X1),X1) & status(sK55(X0,X1),sK56(X0,X1),X0)))),
0.17/0.45	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56])],[f64,f192])).
0.17/0.45	fof(f192,plain,(
0.17/0.45	  ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) => (~status(sK55(X0,X1),sK56(X0,X1),X1) & status(sK55(X0,X1),sK56(X0,X1),X0)))),
0.17/0.45	  introduced(definition,[],[choice_axiom])).
0.17/0.45	fof(f64,plain,(
0.17/0.45	  ! [X0,X1] : (isa(X0,X1) | ? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)))),
0.17/0.45	  inference(ennf_transformation,[],[f53])).
0.17/0.45	fof(f53,plain,(
0.17/0.45	  ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) => status(X2,X3,X1)) => isa(X0,X1))),
0.17/0.45	  inference(unused_predicate_definition_removal,[],[f47])).
0.17/0.45	fof(f47,plain,(
0.17/0.45	  ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) => status(X2,X3,X1)) <=> isa(X0,X1))),
0.17/0.45	  inference(rectify,[],[f28])).
0.17/0.45	fof(f28,axiom,(
0.17/0.45	  ! [X8,X9] : (! [X0,X1] : (status(X0,X1,X8) => status(X0,X1,X9)) <=> isa(X8,X9))),
0.17/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.17/0.45	fof(f502,plain,(
0.17/0.45	  ( ! [X0,X1] : (status(sK55(wca,X0),X1,thm) | isa(wca,X0)) )),
0.17/0.45	  inference(resolution,[],[f453,f246])).
0.17/0.45	fof(f246,plain,(
0.17/0.45	  ( ! [X0,X1] : (model(sK25(X0,X1),X0) | status(X0,X1,thm)) )),
0.17/0.45	  inference(cnf_transformation,[],[f134])).
0.17/0.45	fof(f134,plain,(
0.17/0.45	  ! [X0,X1] : ((status(X0,X1,thm) | (~model(sK25(X0,X1),X1) & model(sK25(X0,X1),X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))),
0.17/0.45	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f132,f133])).
0.17/0.45	fof(f133,plain,(
0.17/0.45	  ! [X0,X1] : (? [X2] : (~model(X2,X1) & model(X2,X0)) => (~model(sK25(X0,X1),X1) & model(sK25(X0,X1),X0)))),
0.17/0.45	  introduced(definition,[],[choice_axiom])).
0.17/0.45	fof(f132,plain,(
0.17/0.45	  ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))),
0.17/0.45	  inference(rectify,[],[f131])).
0.17/0.45	fof(f131,plain,(
0.17/0.45	  ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)))),
0.17/0.45	  inference(nnf_transformation,[],[f58])).
0.17/0.45	fof(f58,plain,(
0.17/0.45	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))),
0.17/0.45	  inference(ennf_transformation,[],[f12])).
0.17/0.45	fof(f12,axiom,(
0.17/0.45	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))),
0.17/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.17/0.45	fof(f453,plain,(
0.17/0.45	  ( ! [X0,X1] : (~model(X1,sK55(wca,X0)) | isa(wca,X0)) )),
0.17/0.45	  inference(resolution,[],[f289,f237])).
0.17/0.45	fof(f237,plain,(
0.17/0.45	  ( ! [X0,X1,X5] : (~status(X0,X1,wca) | ~model(X5,X0)) )),
0.17/0.45	  inference(cnf_transformation,[],[f118])).
0.17/0.45	fof(f118,plain,(
0.17/0.45	  ! [X0,X1] : ((status(X0,X1,wca) | model(sK18(X0),X0) | ! [X3] : ~model(X3,X1) | ! [X4] : model(X4,X1)) & ((! [X5] : ~model(X5,X0) & model(sK19(X1),X1) & ~model(sK20(X1),X1)) | ~status(X0,X1,wca)))),
0.17/0.45	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20])],[f114,f117,f116,f115])).
0.17/0.45	fof(f115,plain,(
0.17/0.45	  ! [X0] : (? [X2] : model(X2,X0) => model(sK18(X0),X0))),
0.17/0.45	  introduced(definition,[],[choice_axiom])).
0.17/0.45	fof(f116,plain,(
0.17/0.45	  ! [X1] : (? [X6] : model(X6,X1) => model(sK19(X1),X1))),
0.17/0.45	  introduced(definition,[],[choice_axiom])).
0.17/0.45	fof(f117,plain,(
0.17/0.45	  ! [X1] : (? [X7] : ~model(X7,X1) => ~model(sK20(X1),X1))),
0.17/0.45	  introduced(definition,[],[choice_axiom])).
0.17/0.45	fof(f114,plain,(
0.17/0.45	  ! [X0,X1] : ((status(X0,X1,wca) | ? [X2] : model(X2,X0) | ! [X3] : ~model(X3,X1) | ! [X4] : model(X4,X1)) & ((! [X5] : ~model(X5,X0) & ? [X6] : model(X6,X1) & ? [X7] : ~model(X7,X1)) | ~status(X0,X1,wca)))),
0.17/0.45	  inference(rectify,[],[f113])).
0.17/0.45	fof(f113,plain,(
0.17/0.45	  ! [X0,X1] : ((status(X0,X1,wca) | ? [X2] : model(X2,X0) | ! [X3] : ~model(X3,X1) | ! [X4] : model(X4,X1)) & ((! [X2] : ~model(X2,X0) & ? [X3] : model(X3,X1) & ? [X4] : ~model(X4,X1)) | ~status(X0,X1,wca)))),
0.17/0.45	  inference(flattening,[],[f112])).
0.17/0.45	fof(f112,plain,(
0.17/0.45	  ! [X0,X1] : ((status(X0,X1,wca) | (? [X2] : model(X2,X0) | ! [X3] : ~model(X3,X1) | ! [X4] : model(X4,X1))) & ((! [X2] : ~model(X2,X0) & ? [X3] : model(X3,X1) & ? [X4] : ~model(X4,X1)) | ~status(X0,X1,wca)))),
0.17/0.45	  inference(nnf_transformation,[],[f55])).
0.17/0.45	fof(f55,plain,(
0.17/0.45	  ! [X0,X1] : (status(X0,X1,wca) <=> (! [X2] : ~model(X2,X0) & ? [X3] : model(X3,X1) & ? [X4] : ~model(X4,X1)))),
0.17/0.45	  inference(ennf_transformation,[],[f9])).
0.17/0.45	fof(f9,axiom,(
0.17/0.45	  ! [X0,X1] : (status(X0,X1,wca) <=> (~? [X2] : model(X2,X0) & ? [X3] : model(X3,X1) & ? [X4] : ~model(X4,X1)))),
0.17/0.45	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.17/0.45	fof(f289,plain,(
0.17/0.45	  ( ! [X0,X1] : (status(sK55(X0,X1),sK56(X0,X1),X0) | isa(X0,X1)) )),
0.17/0.45	  inference(cnf_transformation,[],[f193])).
0.17/0.45	% SZS output end Proof for theBenchmark
0.17/0.45	% (2829990)------------------------------
0.17/0.45	% (2829990)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.17/0.45	% (2829990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.17/0.45	% (2829990)Termination reason: Refutation
0.17/0.45	
0.17/0.45	% (2829990)Time elapsed: 0.006 s
0.17/0.45	% (2829990)Peak memory usage: 12 MB
0.17/0.45	% (2829990)Instructions burned: 17 (million)
0.17/0.45	% (2829990)------------------------------
0.17/0.45	% (2829990)------------------------------
0.17/0.45	% (2829987)Success in time 0.06 s
0.17/0.46	EOF