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
0.09/0.43	% Computer   : n014.cluster.edu
0.09/0.43	% Model      : x86_64 x86_64
0.09/0.43	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.43	% Memory     : 8046.5625MB
0.09/0.43	% OS         : Linux 6.8.0-71-generic
0.09/0.43	% CPULimit   : 1440
0.09/0.43	% WCLimit    : 180
0.09/0.43	% DateTime   : Mon Jul 27 09:07:32 UTC 2026
0.09/0.43	% CPUTime    : 
0.16/0.47	This is a FOF_ problem
0.16/0.47	Running first-order theorem proving
0.16/0.47	Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.16/0.54	% (3452248)Running in auto input_syntax mode. Trying TPTP
0.16/0.54	% (3452253)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=2614776268:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi)
0.16/0.54	% (3452253)First to succeed.
0.16/0.54	% (3452253)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3452248"
0.16/0.54	% (3452248)Running in auto input_syntax mode. Trying TPTP
0.16/0.54	% (3452253)Refutation found. Thanks to Tanya!
0.16/0.54	% SZS status Theorem for theBenchmark
0.16/0.54	% SZS output start Proof for theBenchmark
0.16/0.54	fof(f156,plain,(
0.16/0.54	  $false),
0.16/0.54	  inference(subsumption_resolution,[],[f155,f128])).
0.16/0.54	fof(f128,plain,(
0.16/0.54	  end_point(sK9(sK0),sK0)),
0.16/0.54	  inference(resolution,[],[f114,f87])).
0.16/0.54	fof(f87,plain,(
0.16/0.54	  open(sK0)),
0.16/0.54	  inference(cnf_transformation,[],[f57])).
0.16/0.54	fof(f57,plain,(
0.16/0.54	  ! [X1,X2] : (X1 = X2 | ~end_point(X1,sK0) | ~end_point(X2,sK0)) & open(sK0)),
0.16/0.54	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f35,f56])).
0.16/0.54	fof(f56,plain,(
0.16/0.54	  ? [X0] : (! [X1,X2] : (X1 = X2 | ~end_point(X1,X0) | ~end_point(X2,X0)) & open(X0)) => (! [X2,X1] : (X1 = X2 | ~end_point(X1,sK0) | ~end_point(X2,sK0)) & open(sK0))),
0.16/0.54	  introduced(definition,[],[choice_axiom])).
0.16/0.54	fof(f35,plain,(
0.16/0.54	  ? [X0] : (! [X1,X2] : (X1 = X2 | ~end_point(X1,X0) | ~end_point(X2,X0)) & open(X0))),
0.16/0.54	  inference(ennf_transformation,[],[f19])).
0.16/0.54	fof(f19,plain,(
0.16/0.54	  ~! [X0] : (open(X0) => ? [X1,X2] : (X1 != X2 & end_point(X1,X0) & end_point(X2,X0)))),
0.16/0.54	  inference(rectify,[],[f18])).
0.16/0.54	fof(f18,negated_conjecture,(
0.16/0.54	  ~! [X0] : (open(X0) => ? [X4,X3] : (X3 != X4 & end_point(X4,X0) & end_point(X3,X0)))),
0.16/0.54	  inference(negated_conjecture,[status(cth)],[f17])).
0.16/0.54	fof(f17,conjecture,(
0.16/0.54	  ! [X0] : (open(X0) => ? [X4,X3] : (X3 != X4 & end_point(X4,X0) & end_point(X3,X0)))),
0.16/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.54	fof(f114,plain,(
0.16/0.54	  ( ! [X0] : (~open(X0) | end_point(sK9(X0),X0)) )),
0.16/0.54	  inference(cnf_transformation,[],[f79])).
0.16/0.54	fof(f79,plain,(
0.16/0.54	  ! [X0] : (end_point(sK9(X0),X0) | ~open(X0))),
0.16/0.54	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK9])],[f50,f78])).
0.16/0.54	fof(f78,plain,(
0.16/0.54	  ! [X0] : (? [X1] : end_point(X1,X0) => end_point(sK9(X0),X0))),
0.16/0.54	  introduced(definition,[],[choice_axiom])).
0.16/0.54	fof(f50,plain,(
0.16/0.54	  ! [X0] : (? [X1] : end_point(X1,X0) | ~open(X0))),
0.16/0.54	  inference(ennf_transformation,[],[f32])).
0.16/0.54	fof(f32,plain,(
0.16/0.54	  ! [X0] : (open(X0) => ? [X1] : end_point(X1,X0))),
0.16/0.54	  inference(unused_predicate_definition_removal,[],[f28])).
0.16/0.54	fof(f28,plain,(
0.16/0.54	  ! [X0] : (? [X1] : end_point(X1,X0) <=> open(X0))),
0.16/0.54	  inference(rectify,[],[f9])).
0.16/0.54	fof(f9,axiom,(
0.16/0.54	  ! [X0] : (? [X4] : end_point(X4,X0) <=> open(X0))),
0.16/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.54	fof(f155,plain,(
0.16/0.54	  ~end_point(sK9(sK0),sK0)),
0.16/0.54	  inference(trivial_inequality_removal,[],[f154])).
0.16/0.54	fof(f154,plain,(
0.16/0.54	  sK9(sK0) != sK9(sK0) | ~end_point(sK9(sK0),sK0)),
0.16/0.54	  inference(superposition,[],[f92,f133])).
0.16/0.54	fof(f133,plain,(
0.16/0.54	  sK9(sK0) = sK3(sK0,sK9(sK0))),
0.16/0.54	  inference(resolution,[],[f132,f129])).
0.16/0.54	fof(f129,plain,(
0.16/0.54	  ( ! [X0] : (~end_point(X0,sK0) | sK9(sK0) = X0) )),
0.16/0.54	  inference(resolution,[],[f128,f88])).
0.16/0.54	fof(f88,plain,(
0.16/0.54	  ( ! [X2,X1] : (~end_point(X1,sK0) | X1 = X2 | ~end_point(X2,sK0)) )),
0.16/0.54	  inference(cnf_transformation,[],[f57])).
0.16/0.54	fof(f132,plain,(
0.16/0.54	  end_point(sK3(sK0,sK9(sK0)),sK0)),
0.16/0.54	  inference(resolution,[],[f91,f128])).
0.16/0.54	fof(f91,plain,(
0.16/0.54	  ( ! [X0,X1] : (~end_point(X1,X0) | end_point(sK3(X0,X1),X0)) )),
0.16/0.54	  inference(cnf_transformation,[],[f61])).
0.16/0.54	fof(f61,plain,(
0.16/0.54	  ! [X0,X1] : ((sK3(X0,X1) != X1 & end_point(sK3(X0,X1),X0)) | ~end_point(X1,X0))),
0.16/0.54	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK3])],[f37,f60])).
0.16/0.54	fof(f60,plain,(
0.16/0.54	  ! [X0,X1] : (? [X2] : (X1 != X2 & end_point(X2,X0)) => (sK3(X0,X1) != X1 & end_point(sK3(X0,X1),X0)))),
0.16/0.54	  introduced(definition,[],[choice_axiom])).
0.16/0.54	fof(f37,plain,(
0.16/0.54	  ! [X0,X1] : (? [X2] : (X1 != X2 & end_point(X2,X0)) | ~end_point(X1,X0))),
0.16/0.54	  inference(ennf_transformation,[],[f21])).
0.16/0.54	fof(f21,plain,(
0.16/0.54	  ! [X0,X1] : (end_point(X1,X0) => ? [X2] : (X1 != X2 & end_point(X2,X0)))),
0.16/0.54	  inference(rectify,[],[f13])).
0.16/0.54	fof(f13,axiom,(
0.16/0.54	  ! [X0,X4] : (end_point(X4,X0) => ? [X3] : (X3 != X4 & end_point(X3,X0)))),
0.16/0.54	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown)).
0.16/0.54	fof(f92,plain,(
0.16/0.54	  ( ! [X0,X1] : (sK3(X0,X1) != X1 | ~end_point(X1,X0)) )),
0.16/0.54	  inference(cnf_transformation,[],[f61])).
0.16/0.54	% SZS output end Proof for theBenchmark
0.16/0.54	% (3452253)------------------------------
0.16/0.54	% (3452253)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.16/0.54	% (3452253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.16/0.54	% (3452253)Termination reason: Refutation
0.16/0.54	
0.16/0.54	% (3452253)Time elapsed: 0.002 s
0.16/0.54	% (3452253)Peak memory usage: 12 MB
0.16/0.54	% (3452253)Instructions burned: 4 (million)
0.16/0.54	% (3452253)------------------------------
0.16/0.54	% (3452253)------------------------------
0.16/0.54	% (3452248)Success in time 0.059 s
0.16/0.54	EOF