%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n011.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:45:52 AM UTC 2026
% Result : Unsatisfiable 10.96s 2.59s
% Output : Refutation 12.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 2
% Syntax : Number of formulae : 67 ( 65 unt; 0 def)
% Number of atoms : 77 ( 76 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 24 ( 14 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 17 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 157 ( 157 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1,X4,X5] : join(meet(join(meet(X0,X1),meet(X1,join(X0,X1))),X2),meet(join(meet(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)),meet(join(meet(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)),meet(X5,join(X1,meet(meet(join(X1,X3),join(X4,X1)),X1)))),join(X0,join(join(meet(X1,X3),meet(X4,X1)),X1)))),join(join(meet(X0,X1),meet(X1,join(X0,X1))),X2))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( meet(a,a) != a
| meet(b,a) != meet(a,b)
| join(a,a) != a
| join(b,a) != join(a,b)
| meet(meet(join(a,b),join(c,b)),b) != b
| join(join(meet(a,b),meet(c,b)),b) != b ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_wal_axioms) ).
fof(f3,plain,
( b != join(join(meet(a,b),meet(c,b)),b)
| meet(b,a) != meet(a,b)
| a != join(a,a)
| join(b,a) != join(a,b)
| b != meet(meet(join(a,b),join(c,b)),b)
| a != meet(a,a) ),
inference(reorient_equations,[],[f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X2,X0),meet(X0,join(X2,X0))) = join(meet(join(meet(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),join(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))))),X3),meet(join(meet(X1,join(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X4),meet(X5,join(meet(X2,X0),meet(X0,join(X2,X0))))),join(meet(X2,X0),meet(X0,join(X2,X0))))),meet(X0,join(X1,join(join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X4),meet(X5,join(meet(X2,X0),meet(X0,join(X2,X0))))),join(meet(X2,X0),meet(X0,join(X2,X0))))))),join(join(meet(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))),meet(join(meet(X2,X0),meet(X0,join(X2,X0))),join(X1,join(meet(X2,X0),meet(X0,join(X2,X0)))))),X3))),
inference(superposition,[],[f1,f1]) ).
fof(f13,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : join(meet(join(meet(X5,X0),meet(X0,join(X5,X0))),X6),meet(join(meet(X5,join(join(meet(X0,X7),meet(X8,X0)),X0)),meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),join(X5,join(join(meet(X0,X7),meet(X8,X0)),X0)))),join(join(meet(X5,X0),meet(X0,join(X5,X0))),X6))) = X0,
inference(superposition,[],[f6,f1]) ).
fof(f29,plain,
! [X2,X0,X1] : join(meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),X0),meet(X0,join(join(meet(X1,X0),meet(X0,join(X1,X0))),X0))),X2),meet(X0,join(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),X0),meet(X0,join(join(meet(X1,X0),meet(X0,join(X1,X0))),X0))),X2))) = X0,
inference(superposition,[],[f13,f1]) ).
fof(f52,plain,
! [X2,X0] : join(meet(X0,X2),meet(X0,join(X0,X2))) = X0,
inference(superposition,[],[f29,f29]) ).
fof(f56,plain,
! [X2,X3,X0,X4,X5] : join(meet(join(meet(X2,X0),meet(X0,join(X2,X0))),X3),meet(join(meet(X2,join(join(meet(X0,X4),meet(X5,X0)),X0)),meet(X0,join(X2,join(join(meet(X0,X4),meet(X5,X0)),X0)))),join(join(meet(X2,X0),meet(X0,join(X2,X0))),X3))) = X0,
inference(superposition,[],[f6,f29]) ).
fof(f108,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = join(meet(X0,X5),meet(join(meet(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),X6),meet(X7,join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),join(join(meet(X1,X0),meet(X0,join(X1,X0))),join(join(meet(join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))),X6),meet(X7,join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))),join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))))))),join(X0,X5))),
inference(superposition,[],[f56,f1]) ).
fof(f135,plain,
! [X2,X3,X0,X1,X4,X5] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = join(meet(X0,X5),meet(X0,join(X0,X5))),
inference(forward_demodulation,[],[f108,f1]) ).
fof(f144,plain,
! [X2,X3,X0,X1,X4] : join(meet(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)),meet(join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))),join(X1,join(join(meet(X0,X2),meet(X3,X0)),X0)))) = X0,
inference(forward_demodulation,[],[f135,f52]) ).
fof(f174,plain,
! [X2,X3,X0,X4] : join(meet(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)),meet(X4,join(X0,meet(meet(join(X0,X2),join(X3,X0)),X0)))) = X0,
inference(superposition,[],[f29,f144]) ).
fof(f234,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(superposition,[],[f56,f174]) ).
fof(f290,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(superposition,[],[f174,f234]) ).
fof(f371,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(X0,join(X2,meet(X1,X0))),meet(X1,X0)),
inference(superposition,[],[f290,f234]) ).
fof(f383,plain,
! [X3,X0] : join(meet(X0,X0),meet(X3,join(X0,X0))) = X0,
inference(superposition,[],[f174,f290]) ).
fof(f513,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(superposition,[],[f144,f383]) ).
fof(f591,plain,
! [X0,X1] : join(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f513,f290]) ).
fof(f614,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(superposition,[],[f290,f513]) ).
fof(f857,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,meet(X0,X1)),meet(X0,X1)),
inference(superposition,[],[f614,f52]) ).
fof(f858,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X0,meet(X1,X0)),meet(X1,X0)),
inference(superposition,[],[f614,f234]) ).
fof(f996,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(superposition,[],[f858,f614]) ).
fof(f1193,plain,
! [X0] : meet(meet(meet(X0,X0),X0),X0) = X0,
inference(superposition,[],[f857,f996]) ).
fof(f1229,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[],[f1193,f996]) ).
fof(f1288,plain,
! [X0] : join(join(X0,X0),X0) = X0,
inference(superposition,[],[f591,f1229]) ).
fof(f1304,plain,
! [X0] : meet(join(X0,X0),X0) = X0,
inference(superposition,[],[f290,f1229]) ).
fof(f1435,plain,
! [X0] : join(meet(join(X0,X0),X0),meet(X0,X0)) = X0,
inference(superposition,[],[f234,f1288]) ).
fof(f1453,plain,
! [X0] : join(meet(join(X0,X0),X0),X0) = X0,
inference(forward_demodulation,[],[f1435,f1229]) ).
fof(f1473,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f1453,f1304]) ).
fof(f1533,plain,
! [X0,X1] : join(meet(X0,X0),meet(X1,X0)) = X0,
inference(superposition,[],[f383,f1473]) ).
fof(f1549,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(superposition,[],[f290,f1473]) ).
fof(f1604,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f1533,f1229]) ).
fof(f1833,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,X0)) = X0,
inference(superposition,[],[f52,f1604]) ).
fof(f1858,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),X0) = X0,
inference(forward_demodulation,[],[f1833,f1229]) ).
fof(f2349,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = join(meet(meet(X0,meet(X1,X0)),X0),meet(meet(X0,meet(X1,X0)),X0)),
inference(superposition,[],[f52,f1858]) ).
fof(f2378,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(meet(X0,meet(X1,X0)),X0),
inference(forward_demodulation,[],[f2349,f1473]) ).
fof(f4040,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X0,X0),meet(X1,X0)),
inference(superposition,[],[f371,f1604]) ).
fof(f4112,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f4040,f1229]) ).
fof(f4182,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X1),
inference(superposition,[],[f2378,f4112]) ).
fof(f4206,plain,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X2,X1)),X1) = X1,
inference(superposition,[],[f513,f4112]) ).
fof(f4701,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(superposition,[],[f614,f4182]) ).
fof(f4869,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(X0,join(meet(X0,X1),X0)),
inference(superposition,[],[f4701,f591]) ).
fof(f4908,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,join(X0,X1)),join(X0,X1)),
inference(superposition,[],[f591,f4701]) ).
fof(f5210,plain,
! [X0,X1] : meet(join(meet(X0,X1),X0),X0) = X0,
inference(superposition,[],[f1549,f4869]) ).
fof(f5391,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(meet(join(X0,join(X0,X1)),join(X0,X1)),meet(join(X0,join(X0,X1)),join(X0,X1))),
inference(superposition,[],[f52,f4908]) ).
fof(f5411,plain,
! [X0,X1] : join(X0,join(X0,X1)) = meet(join(X0,join(X0,X1)),join(X0,X1)),
inference(forward_demodulation,[],[f5391,f1473]) ).
fof(f5529,plain,
! [X0,X1] : join(meet(X0,X1),X0) = meet(join(meet(X0,X1),X0),X0),
inference(superposition,[],[f5411,f52]) ).
fof(f5676,plain,
! [X0,X1] : join(meet(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f5529,f5210]) ).
fof(f5847,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),X0),meet(meet(X0,X1),X0)),
inference(superposition,[],[f52,f5676]) ).
fof(f5883,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(forward_demodulation,[],[f5847,f1473]) ).
fof(f5981,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f5883,f4701]) ).
fof(f5986,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(superposition,[],[f1549,f5883]) ).
fof(f6006,plain,
! [X2,X0,X1] : join(join(meet(X0,X2),meet(X0,X1)),X0) = X0,
inference(superposition,[],[f513,f5883]) ).
fof(f6014,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f1604,f5883]) ).
fof(f6214,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f371,f6014]) ).
fof(f6466,plain,
! [X2,X0,X1] : meet(meet(join(X1,X0),join(X2,X0)),X0) = X0,
inference(superposition,[],[f371,f5986]) ).
fof(f6482,plain,
! [X0,X1] : meet(join(X1,X0),X0) = X0,
inference(superposition,[],[f4112,f5986]) ).
fof(f6982,plain,
! [X2,X0,X1] : join(X0,X1) = join(join(meet(join(X0,X1),X2),X0),join(X0,X1)),
inference(superposition,[],[f6006,f4701]) ).
fof(f8164,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),meet(X1,X0)),
inference(superposition,[],[f5883,f6214]) ).
fof(f9931,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(superposition,[],[f6214,f8164]) ).
fof(f15116,plain,
join(b,a) != join(a,b),
inference(unit_resulting_resolution,[],[f3,f1229,f1473,f9931,f4206,f6466]) ).
fof(f16131,plain,
! [X0,X1] : join(X1,X0) = join(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f6982,f6482]) ).
fof(f16554,plain,
! [X0,X1] : join(X1,X0) = meet(join(X0,X1),join(X1,X0)),
inference(superposition,[],[f4701,f16131]) ).
fof(f16563,plain,
! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f5981,f16131]) ).
fof(f17483,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(superposition,[],[f16554,f16563]) ).
fof(f18315,plain,
join(a,b) != join(a,b),
inference(superposition,[],[f15116,f17483]) ).
fof(f18316,plain,
$false,
inference(trivial_inequality_removal,[],[f18315]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT030-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n011.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sun Sep 27 13:57:15 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.96/2.59 % (2428760)Input is clausal, will run a generic CNF schedule.
% 10.96/2.59 % (2428766)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4121243299:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.96/2.59 % (2428770)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2913462028:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.96/2.59 % (2428771)dis-21_1_sil=8000:lcm=predicate:random_seed=488497893:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.96/2.59 % (2428771)Refutation not found, incomplete strategy
% 10.96/2.59 % (2428771)------------------------------
% 10.96/2.59 % (2428771)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428771)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428771)Termination reason: Refutation not found, incomplete strategy
% 10.96/2.59 % (2428771)Time elapsed: 0.002 s
% 10.96/2.59 % (2428771)Peak memory usage: 88 MB
% 10.96/2.59 % (2428768)lrs+10_1_sil=8000:sp=occurrence:random_seed=4213778559:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.96/2.59 % (2428765)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=2096954264:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.96/2.59 % (2428767)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=644886171:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.96/2.59 % (2428769)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4079237187:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.96/2.59 % (2428770)Instruction limit reached!
% 10.96/2.59 % (2428770)------------------------------
% 10.96/2.59 % (2428770)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428770)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428770)Termination reason: Instruction limit
% 10.96/2.59 % (2428770)Termination phase: Saturation
% 10.96/2.59 % (2428770)Time elapsed: 0.109 s
% 10.96/2.59 % (2428770)Peak memory usage: 91 MB
% 10.96/2.59 % (2428770)Instructions burned: 181 (million)
% 10.96/2.59 % (2428768)Instruction limit reached!
% 10.96/2.59 % (2428768)------------------------------
% 10.96/2.59 % (2428768)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428768)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428768)Termination reason: Instruction limit
% 10.96/2.59 % (2428768)Termination phase: Saturation
% 10.96/2.59 % (2428768)Time elapsed: 0.081 s
% 10.96/2.59 % (2428768)Peak memory usage: 92 MB
% 10.96/2.59 % (2428768)Instructions burned: 108 (million)
% 10.96/2.59 % (2428769)Instruction limit reached!
% 10.96/2.59 % (2428769)------------------------------
% 10.96/2.59 % (2428769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428769)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428769)Termination reason: Instruction limit
% 10.96/2.59 % (2428769)Termination phase: Saturation
% 10.96/2.59 % (2428769)Time elapsed: 0.089 s
% 10.96/2.59 % (2428769)Peak memory usage: 91 MB
% 10.96/2.59 % (2428769)Instructions burned: 115 (million)
% 10.96/2.59 % (2428780)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=345011127:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 10.96/2.59 % (2428780)Refutation not found, incomplete strategy
% 10.96/2.59 % (2428780)------------------------------
% 10.96/2.59 % (2428780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428780)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428780)Termination reason: Refutation not found, incomplete strategy
% 10.96/2.59 % (2428780)Time elapsed: 0.002 s
% 10.96/2.59 % (2428780)Peak memory usage: 88 MB
% 10.96/2.59 % (2428783)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=481941334:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 10.96/2.59 % (2428783)Refutation not found, incomplete strategy
% 10.96/2.59 % (2428783)------------------------------
% 10.96/2.59 % (2428783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428783)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428783)Termination reason: Refutation not found, incomplete strategy
% 10.96/2.59 % (2428783)Time elapsed: 0.002 s
% 10.96/2.59 % (2428783)Peak memory usage: 88 MB
% 10.96/2.59 % (2428771)------------------------------
% 10.96/2.59 % (2428771)------------------------------
% 10.96/2.59 % (2428782)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3387579672:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 10.96/2.59 % (2428782)Refutation not found, incomplete strategy
% 10.96/2.59 % (2428782)------------------------------
% 10.96/2.59 % (2428782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428782)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428782)Termination reason: Refutation not found, incomplete strategy
% 10.96/2.59 % (2428782)Time elapsed: 0.002 s
% 10.96/2.59 % (2428782)Peak memory usage: 88 MB
% 10.96/2.59 % (2428782)Instructions burned: 1 (million)
% 10.96/2.59 % (2428786)lrs+10_64_to=lpo:sil=8000:random_seed=446500484:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 10.96/2.59 % (2428780)------------------------------
% 10.96/2.59 % (2428780)------------------------------
% 10.96/2.59 % (2428783)------------------------------
% 10.96/2.59 % (2428783)------------------------------
% 10.96/2.59 % (2428786)Instruction limit reached!
% 10.96/2.59 % (2428786)------------------------------
% 10.96/2.59 % (2428786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428786)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428786)Termination reason: Instruction limit
% 10.96/2.59 % (2428786)Termination phase: Saturation
% 10.96/2.59 % (2428786)Time elapsed: 0.094 s
% 10.96/2.59 % (2428786)Peak memory usage: 90 MB
% 10.96/2.59 % (2428786)Instructions burned: 127 (million)
% 10.96/2.59 % (2428782)------------------------------
% 10.96/2.59 % (2428782)------------------------------
% 10.96/2.59 % (2428789)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2818664704:avsq=on:i=194:fgj=on:bd=preordered_2990 on theBenchmark for (2990ds/194Mi)
% 10.96/2.59 % (2428790)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1317974662:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 10.96/2.59 % (2428792)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=40213416:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 10.96/2.59 % (2428791)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1448957458:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 10.96/2.59 % (2428792)Instruction limit reached!
% 10.96/2.59 % (2428792)------------------------------
% 10.96/2.59 % (2428792)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428792)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428792)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428792)Termination reason: Instruction limit
% 10.96/2.59 % (2428792)Termination phase: Saturation
% 10.96/2.59 % (2428792)Time elapsed: 0.078 s
% 10.96/2.59 % (2428792)Peak memory usage: 92 MB
% 10.96/2.59 % (2428792)Instructions burned: 107 (million)
% 10.96/2.59 % (2428790)Instruction limit reached!
% 10.96/2.59 % (2428790)------------------------------
% 10.96/2.59 % (2428790)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428790)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428790)Termination reason: Instruction limit
% 10.96/2.59 % (2428790)Termination phase: Saturation
% 10.96/2.59 % (2428790)Time elapsed: 0.129 s
% 10.96/2.59 % (2428790)Peak memory usage: 91 MB
% 10.96/2.59 % (2428790)Instructions burned: 157 (million)
% 10.96/2.59 % (2428789)Instruction limit reached!
% 10.96/2.59 % (2428789)------------------------------
% 10.96/2.59 % (2428789)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428789)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428789)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428789)Termination reason: Instruction limit
% 10.96/2.59 % (2428789)Termination phase: Saturation
% 10.96/2.59 % (2428789)Time elapsed: 0.144 s
% 10.96/2.59 % (2428789)Peak memory usage: 92 MB
% 10.96/2.59 % (2428789)Instructions burned: 194 (million)
% 10.96/2.59 % (2428766)First to succeed.
% 10.96/2.59 % (2428766)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2428760"
% 10.96/2.59 % (2428798)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=722971807:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 10.96/2.59 % (2428797)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1276340608:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 10.96/2.59 % (2428797)Refutation not found, incomplete strategy
% 10.96/2.59 % (2428797)------------------------------
% 10.96/2.59 % (2428797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.96/2.59 % (2428797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.96/2.59 % (2428797)CaDiCaL version: 2.1.3
% 10.96/2.59 % (2428797)Termination reason: Refutation not found, incomplete strategy
% 10.96/2.59 % (2428797)Time elapsed: 0.002 s
% 10.96/2.59 % (2428797)Peak memory usage: 88 MB
% 10.96/2.59 % (2428766)Refutation found. Thanks to Tanya!
% 10.96/2.59 % SZS status Unsatisfiable for theBenchmark
% 10.96/2.59 % SZS output start Proof for theBenchmark
% See solution above
% 12.42/2.88 % (2428766)------------------------------
% 12.42/2.88 % (2428766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.42/2.88 % (2428766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.42/2.88 % (2428766)CaDiCaL version: 2.1.3
% 12.42/2.88 % (2428766)Termination reason: Refutation
% 12.42/2.88 % (2428766)Time elapsed: 1.218 s
% 12.42/2.88 % (2428766)Peak memory usage: 143 MB
% 12.42/2.88 % (2428766)Instructions burned: 2235 (million)
% 12.42/2.88 % (2428766)------------------------------
% 12.42/2.88 % (2428766)------------------------------
% 12.42/2.88 % (2428760)Success in time 1.646 s
% 12.42/2.88 % Vampire exiting
%------------------------------------------------------------------------------