%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : LAT014-1 : 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 : n009.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 11:47:40 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 7 ( 7 unt; 0 def)
% Number of atoms : 7 ( 6 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 : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,join(X1,join(X0,X2))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie2) ).
fof(f3,axiom,
! [X2,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mckenzie3) ).
fof(f5,negated_conjecture,
meet(a,join(a,b)) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_absorbtion) ).
fof(f6,plain,
a != meet(a,join(a,b)),
inference(reorient_equations,[],[f5]) ).
fof(f13,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(superposition,[],[f2,f3]) ).
fof(f79,plain,
a != a,
inference(superposition,[],[f6,f13]) ).
fof(f80,plain,
$false,
inference(trivial_inequality_removal,[],[f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 13:56:30 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.47 % (2053355)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2053364)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2917108924:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2053364) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2053355-2053364"...
% 0.17/0.47 % (2053364)...printing done.
% 0.17/0.47 % (2053361)% WARNING: option uhcvi not known.
% 0.17/0.47 % (2053364)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2053364)------------------------------
% 0.17/0.47 % (2053364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2053364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2053364)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2053364)Termination reason: Refutation
% 0.17/0.47 % (2053364)Time elapsed: 0.002 s
% 0.17/0.47 % (2053364)Peak memory usage: 11 MB
% 0.17/0.47 % (2053364)Instructions burned: 3 (million)
% 0.17/0.47 % (2053355)Success in time 0.034 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------