%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP161-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 07:23:16 AM UTC 2026
% Result : Unsatisfiable 14.57s 2.38s
% Output : CNFRefutation 14.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 2
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 3 RR)
% Number of literals : 5 ( 4 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-2 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ax_reflb,negated_conjecture,
'greatest$ulower$ubound'(a,a) != a ).
cnf(idempotence_of_gld,axiom,
'greatest$ulower$ubound'(X0,X0) = X0 ).
cnf(c0,plain,
'greatest$ulower$ubound'(a,a) != a,
inference(clausification,[status(esa)],[prove_ax_reflb]) ).
cnf(c9,plain,
'greatest$ulower$ubound'(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_gld]) ).
cnf(d0,plain,
$false,
inference(resolution,[status(thm)],[c9,c0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP161-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 % Computer : n010.cluster.edu
% 0.18/0.45 % Model : x86_64 x86_64
% 0.18/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.45 % Memory : 8046.5625MB
% 0.18/0.45 % OS : Linux 6.8.0-71-generic
% 0.18/0.45 % CPULimit : 300
% 0.18/0.45 % WCLimit : 300
% 0.18/0.45 % DateTime : Fri Sep 25 14:33:01 UTC 2026
% 0.18/0.46 % CPUTime :
% 0.18/0.46 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.57/2.38 % SZS status Unsatisfiable for theBenchmark.p
% 14.57/2.38 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------