%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 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 11:47:39 AM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 3
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X2,X0),meet(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',distribution) ).
fof(f3,negated_conjecture,
join(a,meet(a,b)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_absorbtion_dual) ).
fof(f4,plain,
a != join(a,meet(a,b)),
inference(reorient_equations,[],[f3]) ).
fof(f7,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(meet(X2,X0),meet(X0,join(X1,X2))),
inference(superposition,[],[f1,f2]) ).
fof(f11,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f7,f1]) ).
fof(f19,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = join(meet(X2,X1),meet(X0,X1)),
inference(superposition,[],[f2,f11]) ).
fof(f20,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X1)) = meet(X1,join(X2,meet(X0,X1))),
inference(superposition,[],[f2,f11]) ).
fof(f21,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f20,f2]) ).
fof(f22,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = meet(X1,join(X0,X2)),
inference(forward_demodulation,[],[f19,f2]) ).
fof(f42,plain,
! [X2,X0,X1] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,meet(X1,X0))),
inference(superposition,[],[f22,f2]) ).
fof(f54,plain,
! [X2,X0,X1] : meet(X0,meet(X0,join(X1,X2))) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f42,f21]) ).
fof(f56,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(X0,X0),
inference(superposition,[],[f54,f1]) ).
fof(f70,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f56,f1]) ).
fof(f85,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = join(meet(X1,X0),X0),
inference(superposition,[],[f2,f70]) ).
fof(f86,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,join(X1,X0)),
inference(superposition,[],[f2,f70]) ).
fof(f91,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,X0),
inference(forward_demodulation,[],[f86,f56]) ).
fof(f92,plain,
! [X0,X1] : join(meet(X1,X0),X0) = X0,
inference(forward_demodulation,[],[f85,f1]) ).
fof(f94,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[],[f91,f70]) ).
fof(f102,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f92,f70]) ).
fof(f121,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,X0)),
inference(superposition,[],[f2,f102]) ).
fof(f124,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,X1),
inference(forward_demodulation,[],[f121,f102]) ).
fof(f161,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(superposition,[],[f94,f124]) ).
fof(f219,plain,
a != a,
inference(superposition,[],[f4,f161]) ).
fof(f229,plain,
$false,
inference(trivial_inequality_removal,[],[f219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT008-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n011.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 13:56:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.46 % (2425938)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2425945)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3407656094:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2425944)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2425945) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2425938-2425945"...
% 0.10/0.46 % (2425945)...printing done.
% 0.10/0.46 % (2425945)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.46 % (2425945)------------------------------
% 0.27/0.46 % (2425945)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.46 % (2425945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.46 % (2425945)CaDiCaL version: 2.1.3
% 0.27/0.46 % (2425945)Termination reason: Refutation
% 0.27/0.46 % (2425945)Time elapsed: 0.005 s
% 0.27/0.46 % (2425945)Peak memory usage: 11 MB
% 0.27/0.46 % (2425945)Instructions burned: 11 (million)
% 0.27/0.46 % (2425938)Success in time 0.038 s
% 0.27/0.46 % Vampire exiting
%------------------------------------------------------------------------------