%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT039-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 10.47s 6.73s
% Output : CNFRefutation 10.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 5 RR)
% Number of literals : 8 ( 7 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 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 : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dist_join,hypothesis,
join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)) ).
cnf(lhs,hypothesis,
join(xx,yy) = yy ).
cnf(rhs,negated_conjecture,
join(xx,meet(yy,zz)) != meet(yy,join(xx,zz)) ).
cnf(c0,plain,
join(X0,meet(X1,X2)) = meet(join(X0,X1),join(X0,X2)),
inference(clausification,[status(esa)],[dist_join]) ).
cnf(c2,plain,
join(xx,yy) = yy,
inference(clausification,[status(esa)],[lhs]) ).
cnf(c3,plain,
join(xx,meet(yy,zz)) != meet(yy,join(xx,zz)),
inference(clausification,[status(esa)],[rhs]) ).
cnf(d0,plain,
join(xx,meet(yy,X0)) = meet(yy,join(xx,X0)),
inference(superposition,[status(thm)],[c2,c0]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT039-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.37 % Computer : n018.cluster.edu
% 0.09/5.37 % Model : x86_64 x86_64
% 0.09/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.37 % Memory : 8046.5625MB
% 0.09/5.37 % OS : Linux 6.8.0-71-generic
% 0.09/5.37 % CPULimit : 300
% 0.09/5.37 % WCLimit : 300
% 0.09/5.37 % DateTime : Fri Sep 25 20:00:56 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.47/6.73 % SZS status Unsatisfiable for theBenchmark.p
% 10.47/6.73 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------