%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 07:47:42 AM UTC 2026
% Result : Unsatisfiable 8.27s 1.53s
% Output : CNFRefutation 8.27s
% 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 : 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 : 14 ( 9 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(mckenzie2,axiom,
meet(X0,join(X1,join(X0,X2))) = X0 ).
cnf(mckenzie3,axiom,
join(join(meet(X0,X1),meet(X1,X2)),X1) = X1 ).
cnf(prove_absorbtion,negated_conjecture,
meet(a,join(a,b)) != a ).
cnf(c1,plain,
meet(X0,join(X1,join(X0,X2))) = X0,
inference(clausification,[status(esa)],[mckenzie2]) ).
cnf(c2,plain,
join(join(meet(X0,X1),meet(X1,X2)),X1) = X1,
inference(clausification,[status(esa)],[mckenzie3]) ).
cnf(c4,plain,
meet(a,join(a,b)) != a,
inference(clausification,[status(esa)],[prove_absorbtion]) ).
cnf(d0,plain,
meet(X1,join(X1,X2)) = X1,
inference(superposition,[status(thm)],[c2,c1]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[d0,c4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT014-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Fri Sep 25 19:56:20 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.29 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.27/1.53 % SZS status Unsatisfiable for theBenchmark.p
% 8.27/1.53 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------