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
0.11/0.36	% Computer   : n010.cluster.edu
0.11/0.36	% Model      : x86_64 x86_64
0.11/0.36	% CPU        : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.36	% Memory     : 8046.5625MB
0.11/0.36	% OS         : Linux 6.8.0-71-generic
0.11/0.36	% CPULimit   : 1440
0.11/0.36	% WCLimit    : 180
0.11/0.36	% DateTime   : Mon Jul 27 09:17:34 UTC 2026
0.11/0.36	% CPUTime    : 
0.11/0.40	This is a FOF_ problem
0.11/0.40	Running first-order theorem proving
0.11/0.40	Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox/benchmark/theBenchmark.p
0.44/0.49	% (931122)Running in auto input_syntax mode. Trying TPTP
0.44/0.49	% (931124)lrs+1011_1_sp=occurrence:random_seed=3071447208:st=6:sd=4:ss=included_1799 on theBenchmark for (1799ds/0Mi)
0.44/0.49	% (931122)Running in auto input_syntax mode. Trying TPTP
0.44/0.49	% (931126)lrs+10_1_sp=unary_first:urr=on:s2agt=32:random_seed=3857629292:s2a=on:i=272356:sd=1:bd=all:ss=included_1799 on theBenchmark for (1799ds/272356Mi)
0.44/0.49	% (931122)Running in auto input_syntax mode. Trying TPTP
0.44/0.49	% (931127)lrs+1011_32_sil=2000:tgt=full:alpa=true:random_seed=1444655983:st=5:i=107:sd=1:ss=included:er=filter_1799 on theBenchmark for (1799ds/107Mi)
0.44/0.49	% (931122)Running in auto input_syntax mode. Trying TPTP
0.44/0.49	% (931129)ott+1011_2_sil=4000:lsd=20:rnwc=on:rp=on:sac=on:newcnf=on:random_seed=3220913093:i=132:kws=arity:er=filter_1799 on theBenchmark for (1799ds/132Mi)
0.44/0.49	% (931122)Running in auto input_syntax mode. Trying TPTP
0.44/0.49	% (931125)dis+1010_16_tgt=full:drc=ordering:sp=reverse_frequency:nwc=1:random_seed=1834370585:i=261632:kws=inv_arity_squared:ins=1:av=off:fsd=on_1799 on theBenchmark for (1799ds/261632Mi)
0.44/0.49	% (931127)First to succeed.
0.44/0.50	% (931126)Also succeeded, but the first one will report.
0.44/0.50	% (931127)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-931122"
0.44/0.50	% (931124)Also succeeded, but the first one will report.
0.44/0.50	% (931122)Running in auto input_syntax mode. Trying TPTP
0.44/0.50	% (931127)Refutation found. Thanks to Tanya!
0.44/0.50	% SZS status Theorem for theBenchmark
0.44/0.50	% SZS output start Proof for theBenchmark
0.44/0.50	fof(f70,plain,(
0.44/0.50	  $false),
0.44/0.50	  inference(subsumption_resolution,[],[f69,f65])).
0.44/0.50	fof(f65,plain,(
0.44/0.50	  ( ! [X0] : (status(sK0(tca,thm),X0,thm)) )),
0.44/0.50	  inference(resolution,[],[f63,f57])).
0.44/0.50	fof(f57,plain,(
0.44/0.50	  ( ! [X0,X1] : (model(sK2(X0,X1),X0) | status(X0,X1,thm)) )),
0.44/0.50	  inference(cnf_transformation,[],[f46])).
0.44/0.50	fof(f46,plain,(
0.44/0.50	  ! [X0,X1] : ((status(X0,X1,thm) | (~model(sK2(X0,X1),X1) & model(sK2(X0,X1),X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))),
0.44/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK2])],[f44,f45])).
0.44/0.50	fof(f45,plain,(
0.44/0.50	  ! [X0,X1] : (? [X2] : (~model(X2,X1) & model(X2,X0)) => (~model(sK2(X0,X1),X1) & model(sK2(X0,X1),X0)))),
0.44/0.50	  introduced(definition,[],[choice_axiom])).
0.44/0.50	fof(f44,plain,(
0.44/0.50	  ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))),
0.44/0.50	  inference(rectify,[],[f43])).
0.44/0.50	fof(f43,plain,(
0.44/0.50	  ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)))),
0.44/0.50	  inference(nnf_transformation,[],[f39])).
0.44/0.50	fof(f39,plain,(
0.44/0.50	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))),
0.44/0.50	  inference(ennf_transformation,[],[f12])).
0.44/0.50	fof(f12,axiom,(
0.44/0.50	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))),
0.44/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.44/0.50	fof(f63,plain,(
0.44/0.50	  ( ! [X0] : (~model(X0,sK0(tca,thm))) )),
0.44/0.50	  inference(resolution,[],[f62,f60])).
0.44/0.50	fof(f60,plain,(
0.44/0.50	  ( ! [X0,X1,X4] : (~status(X0,X1,tca) | ~model(X4,X0)) )),
0.44/0.50	  inference(cnf_transformation,[],[f52])).
0.44/0.50	fof(f52,plain,(
0.44/0.50	  ! [X0,X1] : ((status(X0,X1,tca) | model(sK3(X0),X0) | ~model(sK4(X1),X1)) & ((! [X4] : ~model(X4,X0) & ! [X5] : model(X5,X1)) | ~status(X0,X1,tca)))),
0.44/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK3,sK4])],[f49,f51,f50])).
0.44/0.50	fof(f50,plain,(
0.44/0.50	  ! [X0] : (? [X2] : model(X2,X0) => model(sK3(X0),X0))),
0.44/0.50	  introduced(definition,[],[choice_axiom])).
0.44/0.50	fof(f51,plain,(
0.44/0.50	  ! [X1] : (? [X3] : ~model(X3,X1) => ~model(sK4(X1),X1))),
0.44/0.50	  introduced(definition,[],[choice_axiom])).
0.44/0.50	fof(f49,plain,(
0.44/0.50	  ! [X0,X1] : ((status(X0,X1,tca) | ? [X2] : model(X2,X0) | ? [X3] : ~model(X3,X1)) & ((! [X4] : ~model(X4,X0) & ! [X5] : model(X5,X1)) | ~status(X0,X1,tca)))),
0.44/0.50	  inference(rectify,[],[f48])).
0.44/0.50	fof(f48,plain,(
0.44/0.50	  ! [X0,X1] : ((status(X0,X1,tca) | ? [X2] : model(X2,X0) | ? [X3] : ~model(X3,X1)) & ((! [X2] : ~model(X2,X0) & ! [X3] : model(X3,X1)) | ~status(X0,X1,tca)))),
0.44/0.50	  inference(flattening,[],[f47])).
0.44/0.50	fof(f47,plain,(
0.44/0.50	  ! [X0,X1] : ((status(X0,X1,tca) | (? [X2] : model(X2,X0) | ? [X3] : ~model(X3,X1))) & ((! [X2] : ~model(X2,X0) & ! [X3] : model(X3,X1)) | ~status(X0,X1,tca)))),
0.44/0.50	  inference(nnf_transformation,[],[f40])).
0.44/0.50	fof(f40,plain,(
0.44/0.50	  ! [X0,X1] : (status(X0,X1,tca) <=> (! [X2] : ~model(X2,X0) & ! [X3] : model(X3,X1)))),
0.44/0.50	  inference(ennf_transformation,[],[f14])).
0.44/0.50	fof(f14,axiom,(
0.44/0.50	  ! [X0,X1] : (status(X0,X1,tca) <=> (~? [X2] : model(X2,X0) & ! [X3] : model(X3,X1)))),
0.44/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.44/0.50	fof(f62,plain,(
0.44/0.50	  status(sK0(tca,thm),sK1(tca,thm),tca)),
0.44/0.50	  inference(resolution,[],[f54,f53])).
0.44/0.50	fof(f53,plain,(
0.44/0.50	  ~isa(tca,thm)),
0.44/0.50	  inference(cnf_transformation,[],[f35])).
0.44/0.50	fof(f35,plain,(
0.44/0.50	  ~isa(tca,thm)),
0.44/0.50	  inference(flattening,[],[f34])).
0.44/0.50	fof(f34,negated_conjecture,(
0.44/0.50	  ~isa(tca,thm)),
0.44/0.50	  inference(negated_conjecture,[status(cth)],[f33])).
0.44/0.50	fof(f33,conjecture,(
0.44/0.50	  isa(tca,thm)),
0.44/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.44/0.50	fof(f54,plain,(
0.44/0.50	  ( ! [X0,X1] : (isa(X0,X1) | status(sK0(X0,X1),sK1(X0,X1),X0)) )),
0.44/0.50	  inference(cnf_transformation,[],[f42])).
0.44/0.50	fof(f42,plain,(
0.44/0.50	  ! [X0,X1] : (isa(X0,X1) | (~status(sK0(X0,X1),sK1(X0,X1),X1) & status(sK0(X0,X1),sK1(X0,X1),X0)))),
0.44/0.50	  inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f38,f41])).
0.44/0.50	fof(f41,plain,(
0.44/0.50	  ! [X0,X1] : (? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)) => (~status(sK0(X0,X1),sK1(X0,X1),X1) & status(sK0(X0,X1),sK1(X0,X1),X0)))),
0.44/0.50	  introduced(definition,[],[choice_axiom])).
0.44/0.50	fof(f38,plain,(
0.44/0.50	  ! [X0,X1] : (isa(X0,X1) | ? [X2,X3] : (~status(X2,X3,X1) & status(X2,X3,X0)))),
0.44/0.50	  inference(ennf_transformation,[],[f37])).
0.44/0.50	fof(f37,plain,(
0.44/0.50	  ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) => status(X2,X3,X1)) => isa(X0,X1))),
0.44/0.50	  inference(unused_predicate_definition_removal,[],[f36])).
0.44/0.50	fof(f36,plain,(
0.44/0.50	  ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) => status(X2,X3,X1)) <=> isa(X0,X1))),
0.44/0.50	  inference(rectify,[],[f28])).
0.44/0.50	fof(f28,axiom,(
0.44/0.50	  ! [X8,X9] : (! [X0,X1] : (status(X0,X1,X8) => status(X0,X1,X9)) <=> isa(X8,X9))),
0.44/0.50	  file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown)).
0.44/0.50	fof(f69,plain,(
0.44/0.50	  ~status(sK0(tca,thm),sK1(tca,thm),thm)),
0.44/0.50	  inference(resolution,[],[f55,f53])).
0.44/0.50	fof(f55,plain,(
0.44/0.50	  ( ! [X0,X1] : (isa(X0,X1) | ~status(sK0(X0,X1),sK1(X0,X1),X1)) )),
0.44/0.50	  inference(cnf_transformation,[],[f42])).
0.44/0.50	% SZS output end Proof for theBenchmark
0.44/0.50	% (931127)------------------------------
0.44/0.50	% (931127)Version: Vampire 5.0.0 (Release build, commit 3ce9b74f2 on 2025-07-14 12:22:21 +0200)
0.44/0.50	% (931127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.44/0.50	% (931127)Termination reason: Refutation
0.44/0.50	
0.44/0.50	% (931127)Time elapsed: 0.002 s
0.44/0.50	% (931127)Peak memory usage: 12 MB
0.44/0.50	% (931127)Instructions burned: 2 (million)
0.44/0.50	% (931127)------------------------------
0.44/0.50	% (931127)------------------------------
0.44/0.50	% (931122)Success in time 0.091 s
0.44/0.50	EOF