0.00/0.03	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.00/0.05	% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.11/0.44	% Computer : n016.cluster.edu
0.11/0.44	% Model    : x86_64 x86_64
0.11/0.44	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.44	% Memory   : 8046.5625MB
0.11/0.44	% OS       : Linux 6.8.0-71-generic
0.11/0.44	% CPULimit : 1440
0.11/0.44	% WCLimit  : 180
0.11/0.44	% DateTime : Mon Jul 27 09:13:54 UTC 2026
0.11/0.45	% CPUTime  : 
0.11/0.45	Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 180 THM
0.16/0.49	Running first-order theorem proving
0.16/0.49	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
2.73/1.41	% (1088798)Detected formulas, will run a generic FOF schedule.
2.73/1.41	% (1088808)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1640105804:s2a=on:i=139:gtg=position_1799 on theBenchmark for (1799ds/139Mi)
2.73/1.41	% (1088808)First to succeed.
2.73/1.41	% (1088808)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1088798"
2.73/1.41	% (1088809)dis-21_1_sil=8000:lcm=predicate:random_seed=625765233: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)
2.73/1.41	% (1088805)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=2425663397:i=141695:sd=1:nm=32:gsp=on:ss=included_1799 on theBenchmark for (1799ds/141695Mi)
2.73/1.41	% (1088807)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2736374281:i=119:av=off:ss=axioms_1799 on theBenchmark for (1799ds/119Mi)
2.73/1.41	% (1088804)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=2582556573:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_1799 on theBenchmark for (1799ds/134677Mi)
2.73/1.41	% (1088803)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=2910846197:i=141193_1799 on theBenchmark for (1799ds/141193Mi)
2.73/1.41	% (1088806)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=535402748:i=109:sd=1:ins=1:gsp=on:ss=axioms_1799 on theBenchmark for (1799ds/109Mi)
2.73/1.41	% (1088807)Also succeeded, but the first one will report.
2.73/1.41	% (1088809)Also succeeded, but the first one will report.
2.73/1.41	% (1088806)Also succeeded, but the first one will report.
2.73/1.41	% (1088808)Refutation found. Thanks to Tanya!
2.73/1.41	% SZS status Theorem for theBenchmark
2.73/1.41	% SZS output start Proof for theBenchmark
2.73/1.41	fof(f4,axiom,(
2.73/1.41	  ! [X0,X1] : ? [X2] : (? [X3] : (? [X4] : (r2(X1,X4) & r4(X0,X4,X3)) & id(X3,X2)) & ? [X5] : (r4(X0,X1,X5) & r3(X5,X0,X2)))),
2.73/1.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2a)).
2.73/1.41	fof(f10,axiom,(
2.73/1.41	  ! [X0] : id(X0,X0)),
2.73/1.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5)).
2.73/1.41	fof(f14,axiom,(
2.73/1.41	  ! [X0,X1] : ? [X2] : (? [X3] : (? [X4] : (r3(X0,X4,X3) & r2(X1,X4)) & id(X3,X2)) & ? [X5] : (r3(X0,X1,X5) & r2(X5,X2)))),
2.73/1.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1a)).
2.73/1.41	fof(f16,axiom,(
2.73/1.41	  ! [X0] : ? [X1] : (? [X2] : (r1(X2) & id(X1,X2)) & ? [X3] : (r4(X0,X3,X1) & r1(X3)))),
2.73/1.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5a)).
2.73/1.41	fof(f19,conjecture,(
2.73/1.41	  ? [X0,X1,X2] : (? [X3] : (? [X4] : (? [X5] : (r2(X5,X4) & r1(X5)) & r2(X4,X3)) & r3(X0,X3,X2)) & id(X2,X1))),
2.73/1.41	  file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xplustwoidy)).
2.73/1.41	fof(f20,negated_conjecture,(
2.73/1.41	  ~? [X0,X1,X2] : (? [X3] : (? [X4] : (? [X5] : (r2(X5,X4) & r1(X5)) & r2(X4,X3)) & r3(X0,X3,X2)) & id(X2,X1))),
2.73/1.41	  inference(negated_conjecture,[status(cth)],[f19])).
2.73/1.41	fof(f21,plain,(
2.73/1.41	  ! [X0,X1,X2] : (! [X3] : (! [X4] : (! [X5] : (~r2(X5,X4) | ~r1(X5)) | ~r2(X4,X3)) | ~r3(X0,X3,X2)) | ~id(X2,X1))),
2.73/1.41	  inference(ennf_transformation,[],[f20])).
2.73/1.41	fof(f24,plain,(
2.73/1.41	  ! [X0,X1] : (((r2(X1,sK4(X0,X1)) & r4(X0,sK4(X0,X1),sK3(X0,X1))) & id(sK3(X0,X1),sK2(X0,X1))) & (r4(X0,X1,sK5(X0,X1)) & r3(sK5(X0,X1),X0,sK2(X0,X1))))),
2.73/1.41	  inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5]),skolemize(X2,sK2(X0,X1)),skolemize(X3,sK3(X0,X1)),skolemize(X4,sK4(X0,X1)),skolemize(X5,sK5(X0,X1))],[f4])).
2.73/1.41	fof(f28,plain,(
2.73/1.41	  ! [X0,X1] : (((r3(X0,sK12(X0,X1),sK11(X0,X1)) & r2(X1,sK12(X0,X1))) & id(sK11(X0,X1),sK10(X0,X1))) & (r3(X0,X1,sK13(X0,X1)) & r2(sK13(X0,X1),sK10(X0,X1))))),
2.73/1.41	  inference(skolemize,[status(esa),new_symbols(skolem,[sK10,sK11,sK12,sK13]),skolemize(X2,sK10(X0,X1)),skolemize(X3,sK11(X0,X1)),skolemize(X4,sK12(X0,X1)),skolemize(X5,sK13(X0,X1))],[f14])).
2.73/1.41	fof(f30,plain,(
2.73/1.41	  ! [X0] : ((r1(sK18(X0)) & id(sK17(X0),sK18(X0))) & (r4(X0,sK19(X0),sK17(X0)) & r1(sK19(X0))))),
2.73/1.41	  inference(skolemize,[status(esa),new_symbols(skolem,[sK17,sK18,sK19]),skolemize(X1,sK17(X0)),skolemize(X2,sK18(X0)),skolemize(X3,sK19(X0))],[f16])).
2.73/1.41	fof(f44,plain,(
2.73/1.41	  ( ! [X0,X1] : (r2(X1,sK4(X0,X1))) )),
2.73/1.41	  inference(cnf_transformation,[],[f24])).
2.73/1.41	fof(f59,plain,(
2.73/1.41	  ( ! [X0] : (id(X0,X0)) )),
2.73/1.41	  inference(cnf_transformation,[],[f10])).
2.73/1.41	fof(f72,plain,(
2.73/1.41	  ( ! [X0,X1] : (r3(X0,X1,sK13(X0,X1))) )),
2.73/1.41	  inference(cnf_transformation,[],[f28])).
2.73/1.41	fof(f74,plain,(
2.73/1.41	  ( ! [X0,X1] : (r2(X1,sK12(X0,X1))) )),
2.73/1.41	  inference(cnf_transformation,[],[f28])).
2.73/1.41	fof(f80,plain,(
2.73/1.41	  ( ! [X0] : (r1(sK19(X0))) )),
2.73/1.41	  inference(cnf_transformation,[],[f30])).
2.73/1.41	fof(f89,plain,(
2.73/1.41	  ( ! [X2,X3,X0,X1,X4,X5] : (~r1(X5) | ~r2(X5,X4) | ~r2(X4,X3) | ~r3(X0,X3,X2) | ~id(X2,X1)) )),
2.73/1.41	  inference(cnf_transformation,[],[f21])).
2.73/1.41	fof(f91,plain,(
2.73/1.41	  ( ! [X2,X3,X0,X1,X4,X5] : (~r2(sK19(X0),X1) | ~r2(X1,X2) | ~r3(X3,X2,X4) | ~id(X4,X5)) )),
2.73/1.41	  inference(resolution,[],[f80,f89])).
2.73/1.41	fof(f99,plain,(
2.73/1.41	  ( ! [X2,X3,X0,X1,X4,X5] : (~r3(X3,X2,X4) | ~r2(sK12(X0,sK19(X1)),X2) | ~id(X4,X5)) )),
2.73/1.41	  inference(resolution,[],[f74,f91])).
2.73/1.41	fof(f106,plain,(
2.73/1.41	  ( ! [X2,X3,X0,X1,X4] : (~r2(sK12(X0,sK19(X1)),X2) | ~id(sK13(X3,X2),X4)) )),
2.73/1.41	  inference(resolution,[],[f72,f99])).
2.73/1.41	fof(f110,plain,(
2.73/1.41	  ( ! [X2,X3,X0,X1,X4] : (~id(sK13(X0,sK4(X1,sK12(X2,sK19(X3)))),X4)) )),
2.73/1.41	  inference(resolution,[],[f106,f44])).
2.73/1.41	fof(f116,plain,(
2.73/1.41	  $false),
2.73/1.41	  inference(resolution,[],[f110,f59])).
2.73/1.41	% SZS output end Proof for theBenchmark
2.73/1.41	% (1088808)------------------------------
2.73/1.41	% (1088808)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
2.73/1.41	% (1088808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
2.73/1.41	% (1088808)CaDiCaL version: 2.1.3
2.73/1.41	% (1088808)Termination reason: Refutation
2.73/1.41	% (1088808)Time elapsed: 0.002 s
2.73/1.41	% (1088808)Peak memory usage: 88 MB
2.73/1.41	% (1088808)Instructions burned: 3 (million)
2.73/1.41	% (1088808)------------------------------
2.73/1.41	% (1088808)------------------------------
2.73/1.41	% (1088798)Success in time 0.298 s
2.73/1.41	% Vampire exiting
2.73/1.42	EOF