0.00/0.01	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.02	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.03/0.30	% Computer : n012.cluster.edu
0.03/0.30	% Model    : x86_64 x86_64
0.03/0.30	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.03/0.30	% Memory   : 8046.5625MB
0.03/0.30	% OS       : Linux 6.8.0-71-generic
0.03/0.30	% CPULimit : 1440
0.03/0.30	% WCLimit  : 180
0.03/0.30	% DateTime : Mon Jul 27 09:28:03 UTC 2026
0.03/0.30	% CPUTime  : 
0.03/0.30	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.03/0.32	Running first-order theorem proving
0.03/0.32	Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 180 /export/starexec/sandbox2/benchmark/theBenchmark.p
0.07/0.90	% (1821526)Detected formulas, will run a generic FOF schedule.
0.07/0.90	% (1821536)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=249940312:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi)
0.07/0.90	% (1821533)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1666849248:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi)
0.07/0.90	% (1821532)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1788747513:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi)
0.07/0.90	% (1821535)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=819321831:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi)
0.07/0.90	% (1821534)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=218134788:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi)
0.07/0.90	% (1821531)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2531510594:i=141193_1799 on theBenchmark for (1799ds/141193Mi)
0.07/0.90	% (1821534)Refutation not found, incomplete strategy
0.07/0.90	% (1821534)------------------------------
0.07/0.90	% (1821534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
0.07/0.90	% (1821534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.07/0.90	% (1821534)CaDiCaL version: 2.1.3
0.07/0.90	% (1821534)Termination reason: Refutation not found, incomplete strategy
0.07/0.90	% (1821534)Time elapsed: 0.001 s
0.07/0.90	% (1821534)Peak memory usage: 87 MB
0.07/0.90	% (1821534)Instructions burned: 1 (million)
0.07/0.90	% (1821535)First to succeed.
0.07/0.90	% (1821535)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1821526"
0.07/0.90	% (1821536)Also succeeded, but the first one will report.
0.07/0.90	% (1821537)dis-21_1_sil=8000:lcm=predicate:random_seed=382371337:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_1799 on theBenchmark for (1799ds/129Mi)
0.07/0.90	% (1821537)Also succeeded, but the first one will report.
0.07/0.90	% (1821534)------------------------------
0.07/0.90	% (1821534)------------------------------
0.07/0.90	% (1821535)Refutation found. Thanks to Tanya!
0.07/0.90	% SZS status Theorem for theBenchmark
0.07/0.90	% SZS output start Proof for theBenchmark
0.07/0.90	fof(f12,axiom,(
0.07/0.90	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X0) => model(X2,X1)))),
0.07/0.90	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm)).
0.07/0.90	fof(f18,axiom,(
0.07/0.90	  ! [X0,X1] : (? [X2] : (model(X2,not(X1)) & model(X2,X0)) <=> status(X0,X1,csa))),
0.07/0.90	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',csa)).
0.07/0.90	fof(f23,axiom,(
0.07/0.90	  ! [X0,X1] : (model(X0,X1) <~> model(X0,not(X1)))),
0.07/0.90	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',completeness)).
0.07/0.90	fof(f26,axiom,(
0.07/0.90	  ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) <~> status(X2,X3,X1)) <=> xora(X0,X1))),
0.07/0.90	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xora)).
0.07/0.90	fof(f33,conjecture,(
0.07/0.90	  xora(csa,thm)),
0.07/0.90	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xora_csa_thm)).
0.07/0.90	fof(f34,negated_conjecture,(
0.07/0.90	  ~xora(csa,thm)),
0.07/0.90	  inference(negated_conjecture,[status(cth)],[f33])).
0.07/0.90	fof(f35,plain,(
0.07/0.90	  ~xora(csa,thm)),
0.07/0.90	  inference(flattening,[],[f34])).
0.07/0.90	fof(f36,plain,(
0.07/0.90	  ! [X0,X1] : (! [X2,X3] : (status(X2,X3,X0) <~> status(X2,X3,X1)) => xora(X0,X1))),
0.07/0.90	  inference(unused_predicate_definition_removal,[],[f26])).
0.07/0.90	fof(f37,plain,(
0.07/0.90	  ! [X0,X1] : (xora(X0,X1) | ? [X2,X3] : (status(X2,X3,X0) <=> status(X2,X3,X1)))),
0.07/0.90	  inference(ennf_transformation,[],[f36])).
0.07/0.90	fof(f38,plain,(
0.07/0.90	  ! [X0,X1] : (status(X0,X1,thm) <=> ! [X2] : (model(X2,X1) | ~model(X2,X0)))),
0.07/0.90	  inference(ennf_transformation,[],[f12])).
0.07/0.90	fof(f40,plain,(
0.07/0.90	  ! [X0,X1] : (xora(X0,X1) | ? [X2,X3] : ((status(X2,X3,X0) | ~status(X2,X3,X1)) & (status(X2,X3,X1) | ~status(X2,X3,X0))))),
0.07/0.90	  inference(nnf_transformation,[],[f37])).
0.07/0.90	fof(f41,plain,(
0.07/0.90	  ! [X0,X1] : (xora(X0,X1) | ((status(sK0(X0,X1),sK1(X0,X1),X0) | ~status(sK0(X0,X1),sK1(X0,X1),X1)) & (status(sK0(X0,X1),sK1(X0,X1),X1) | ~status(sK0(X0,X1),sK1(X0,X1),X0))))),
0.07/0.90	  inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X2,sK0(X0,X1)),skolemize(X3,sK1(X0,X1))],[f40])).
0.07/0.90	fof(f42,plain,(
0.07/0.90	  ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X2] : (model(X2,X1) | ~model(X2,X0)) | ~status(X0,X1,thm)))),
0.07/0.90	  inference(nnf_transformation,[],[f38])).
0.07/0.90	fof(f43,plain,(
0.07/0.90	  ! [X0,X1] : ((status(X0,X1,thm) | ? [X2] : (~model(X2,X1) & model(X2,X0))) & (! [X3] : (model(X3,X1) | ~model(X3,X0)) | ~status(X0,X1,thm)))),
0.07/0.90	  inference(rectify,[],[f42])).
0.07/0.90	fof(f44,plain,(
0.07/0.90	  ! [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)))),
0.07/0.90	  inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0,X1))],[f43])).
0.07/0.90	fof(f45,plain,(
0.07/0.90	  ! [X0,X1] : ((? [X2] : (model(X2,not(X1)) & model(X2,X0)) | ~status(X0,X1,csa)) & (status(X0,X1,csa) | ! [X2] : (~model(X2,not(X1)) | ~model(X2,X0))))),
0.07/0.90	  inference(nnf_transformation,[],[f18])).
0.07/0.90	fof(f46,plain,(
0.07/0.90	  ! [X0,X1] : ((? [X2] : (model(X2,not(X1)) & model(X2,X0)) | ~status(X0,X1,csa)) & (status(X0,X1,csa) | ! [X3] : (~model(X3,not(X1)) | ~model(X3,X0))))),
0.07/0.90	  inference(rectify,[],[f45])).
0.07/0.90	fof(f47,plain,(
0.07/0.90	  ! [X0,X1] : (((model(sK3(X0,X1),not(X1)) & model(sK3(X0,X1),X0)) | ~status(X0,X1,csa)) & (status(X0,X1,csa) | ! [X3] : (~model(X3,not(X1)) | ~model(X3,X0))))),
0.07/0.90	  inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X2,sK3(X0,X1))],[f46])).
0.07/0.90	fof(f54,plain,(
0.07/0.90	  ! [X0,X1] : ((~model(X0,not(X1)) | ~model(X0,X1)) & (model(X0,not(X1)) | model(X0,X1)))),
0.07/0.90	  inference(nnf_transformation,[],[f23])).
0.07/0.90	fof(f56,plain,(
0.07/0.90	  ~xora(csa,thm)),
0.07/0.90	  inference(cnf_transformation,[],[f35])).
0.07/0.90	fof(f57,plain,(
0.07/0.90	  ( ! [X0,X1] : (status(sK0(X0,X1),sK1(X0,X1),X1) | xora(X0,X1) | ~status(sK0(X0,X1),sK1(X0,X1),X0)) )),
0.07/0.90	  inference(cnf_transformation,[],[f41])).
0.07/0.90	fof(f58,plain,(
0.07/0.90	  ( ! [X0,X1] : (status(sK0(X0,X1),sK1(X0,X1),X0) | xora(X0,X1) | ~status(sK0(X0,X1),sK1(X0,X1),X1)) )),
0.07/0.90	  inference(cnf_transformation,[],[f41])).
0.07/0.90	fof(f59,plain,(
0.07/0.90	  ( ! [X3,X0,X1] : (~status(X0,X1,thm) | ~model(X3,X0) | model(X3,X1)) )),
0.07/0.90	  inference(cnf_transformation,[],[f44])).
0.07/0.90	fof(f60,plain,(
0.07/0.90	  ( ! [X0,X1] : (model(sK2(X0,X1),X0) | status(X0,X1,thm)) )),
0.07/0.90	  inference(cnf_transformation,[],[f44])).
0.07/0.90	fof(f61,plain,(
0.07/0.90	  ( ! [X0,X1] : (~model(sK2(X0,X1),X1) | status(X0,X1,thm)) )),
0.07/0.90	  inference(cnf_transformation,[],[f44])).
0.07/0.90	fof(f62,plain,(
0.07/0.90	  ( ! [X3,X0,X1] : (status(X0,X1,csa) | ~model(X3,not(X1)) | ~model(X3,X0)) )),
0.07/0.90	  inference(cnf_transformation,[],[f47])).
0.07/0.90	fof(f63,plain,(
0.07/0.90	  ( ! [X0,X1] : (model(sK3(X0,X1),X0) | ~status(X0,X1,csa)) )),
0.07/0.90	  inference(cnf_transformation,[],[f47])).
0.07/0.90	fof(f64,plain,(
0.07/0.90	  ( ! [X0,X1] : (model(sK3(X0,X1),not(X1)) | ~status(X0,X1,csa)) )),
0.07/0.90	  inference(cnf_transformation,[],[f47])).
0.07/0.90	fof(f80,plain,(
0.07/0.90	  ( ! [X0,X1] : (model(X0,not(X1)) | model(X0,X1)) )),
0.07/0.90	  inference(cnf_transformation,[],[f54])).
0.07/0.90	fof(f81,plain,(
0.07/0.90	  ( ! [X0,X1] : (~model(X0,not(X1)) | ~model(X0,X1)) )),
0.07/0.90	  inference(cnf_transformation,[],[f54])).
0.07/0.90	fof(f101,plain,(
0.07/0.90	  ( ! [X0,X1] : (~model(sK3(X0,X1),X1) | ~status(X0,X1,csa)) )),
0.07/0.90	  inference(resolution,[],[f64,f81])).
0.07/0.90	fof(f110,plain,(
0.07/0.90	  ( ! [X0,X1] : (~status(sK0(X0,thm),sK1(X0,thm),X0) | xora(X0,thm) | ~model(X1,sK0(X0,thm)) | model(X1,sK1(X0,thm))) )),
0.07/0.90	  inference(resolution,[],[f57,f59])).
0.07/0.90	fof(f143,plain,(
0.07/0.90	  ( ! [X0,X1] : (xora(csa,thm) | ~model(X0,sK0(csa,thm)) | model(X0,sK1(csa,thm)) | ~model(X1,not(sK1(csa,thm))) | ~model(X1,sK0(csa,thm))) )),
0.07/0.90	  inference(resolution,[],[f110,f62])).
0.07/0.90	fof(f146,plain,(
0.07/0.90	  ( ! [X0,X1] : (~model(X1,not(sK1(csa,thm))) | model(X0,sK1(csa,thm)) | ~model(X0,sK0(csa,thm)) | ~model(X1,sK0(csa,thm))) )),
0.07/0.90	  inference(forward_subsumption_resolution,[],[f143,f56])).
0.07/0.90	fof(f150,plain,(
0.07/0.90	  ( ! [X0,X1] : (~model(sK3(X1,sK1(csa,thm)),sK0(csa,thm)) | ~model(X0,sK0(csa,thm)) | model(X0,sK1(csa,thm)) | ~status(X1,sK1(csa,thm),csa)) )),
0.07/0.90	  inference(resolution,[],[f146,f64])).
0.07/0.90	fof(f162,plain,(
0.07/0.90	  ( ! [X0] : (~model(sK3(X0,sK1(csa,thm)),sK0(csa,thm)) | model(sK3(X0,sK1(csa,thm)),sK1(csa,thm)) | ~status(X0,sK1(csa,thm),csa)) )),
0.07/0.90	  inference(factoring,[],[f150])).
0.07/0.90	fof(f164,plain,(
0.07/0.90	  ( ! [X0] : (~model(sK3(X0,sK1(csa,thm)),sK0(csa,thm)) | ~status(X0,sK1(csa,thm),csa)) )),
0.07/0.90	  inference(forward_subsumption_resolution,[],[f162,f101])).
0.07/0.90	fof(f167,plain,(
0.07/0.90	  ~status(sK0(csa,thm),sK1(csa,thm),csa) | ~status(sK0(csa,thm),sK1(csa,thm),csa)),
0.07/0.90	  inference(resolution,[],[f164,f63])).
0.07/0.90	fof(f168,plain,(
0.07/0.90	  ~status(sK0(csa,thm),sK1(csa,thm),csa)),
0.07/0.90	  inference(duplicate_literal_removal,[],[f167])).
0.07/0.90	fof(f169,plain,(
0.07/0.90	  ( ! [X0] : (~model(X0,not(sK1(csa,thm))) | ~model(X0,sK0(csa,thm))) )),
0.07/0.90	  inference(resolution,[],[f168,f62])).
0.07/0.90	fof(f170,plain,(
0.07/0.90	  xora(csa,thm) | ~status(sK0(csa,thm),sK1(csa,thm),thm)),
0.07/0.90	  inference(resolution,[],[f168,f58])).
0.07/0.90	fof(f171,plain,(
0.07/0.90	  ~status(sK0(csa,thm),sK1(csa,thm),thm)),
0.07/0.90	  inference(forward_subsumption_resolution,[],[f170,f56])).
0.07/0.90	fof(f182,plain,(
0.07/0.90	  ( ! [X0] : (model(X0,sK1(csa,thm)) | ~model(X0,sK0(csa,thm))) )),
0.07/0.90	  inference(resolution,[],[f169,f80])).
0.07/0.90	fof(f188,plain,(
0.07/0.90	  ( ! [X0] : (~model(sK2(X0,sK1(csa,thm)),sK0(csa,thm)) | status(X0,sK1(csa,thm),thm)) )),
0.07/0.90	  inference(resolution,[],[f182,f61])).
0.07/0.90	fof(f194,plain,(
0.07/0.90	  status(sK0(csa,thm),sK1(csa,thm),thm) | status(sK0(csa,thm),sK1(csa,thm),thm)),
0.07/0.90	  inference(resolution,[],[f188,f60])).
0.07/0.90	fof(f195,plain,(
0.07/0.90	  status(sK0(csa,thm),sK1(csa,thm),thm)),
0.07/0.90	  inference(duplicate_literal_removal,[],[f194])).
0.07/0.90	fof(f196,plain,(
0.07/0.90	  $false),
0.07/0.90	  inference(forward_subsumption_resolution,[],[f195,f171])).
0.07/0.90	% SZS output end Proof for theBenchmark
0.07/0.90	% (1821535)------------------------------
0.07/0.90	% (1821535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
0.07/0.90	% (1821535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
0.07/0.90	% (1821535)CaDiCaL version: 2.1.3
0.07/0.90	% (1821535)Termination reason: Refutation
0.07/0.90	% (1821535)Time elapsed: 0.002 s
0.07/0.90	% (1821535)Peak memory usage: 88 MB
0.07/0.90	% (1821535)Instructions burned: 5 (million)
0.07/0.90	% (1821535)------------------------------
0.07/0.90	% (1821535)------------------------------
0.07/0.90	% (1821526)Success in time 0.275 s
0.07/0.90	% Vampire exiting
0.07/0.90	EOF