%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT034-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 : Sun Sep 27 07:47:44 AM UTC 2026
% Result : Unsatisfiable 12.58s 2.15s
% Output : CNFRefutation 12.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 3 RR)
% Number of literals : 8 ( 7 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 9 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(absorption1,axiom,
meet(X0,join(X0,X1)) = X0 ).
cnf(absorption2,axiom,
join(X0,meet(X0,X1)) = X0 ).
cnf(idempotence_of_meet,negated_conjecture,
meet(xx,xx) != xx ).
cnf(c0,plain,
meet(X0,join(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption1]) ).
cnf(c1,plain,
join(X0,meet(X0,X1)) = X0,
inference(clausification,[status(esa)],[absorption2]) ).
cnf(c6,plain,
meet(xx,xx) != xx,
inference(clausification,[status(esa)],[idempotence_of_meet]) ).
cnf(d0,plain,
meet(X0,X0) = X0,
inference(superposition,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT034-1 : TPTP v9.3.1. Bugfixed v2.5.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Fri Sep 25 19:53:48 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.58/2.15 % SZS status Unsatisfiable for theBenchmark.p
% 12.58/2.15 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------