%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP137-1 : 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 : n019.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 07:23:13 AM UTC 2026
% Result : Unsatisfiable 14.30s 2.35s
% Output : CNFRefutation 14.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 8 unt; 0 nHn; 8 RR)
% Number of literals : 8 ( 7 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax_antisymb_1,hypothesis,
'greatest$ulower$ubound'(a,b) = a ).
cnf(ax_antisymb_2,hypothesis,
'greatest$ulower$ubound'(a,b) = b ).
cnf(prove_ax_antisymb,negated_conjecture,
a != b ).
cnf(c0,plain,
'greatest$ulower$ubound'(a,b) = a,
inference(clausification,[status(esa)],[ax_antisymb_1]) ).
cnf(c1,plain,
'greatest$ulower$ubound'(a,b) = b,
inference(clausification,[status(esa)],[ax_antisymb_2]) ).
cnf(c2,plain,
a != b,
inference(clausification,[status(esa)],[prove_ax_antisymb]) ).
cnf(d0,plain,
a = b,
inference(demodulation,[status(thm)],[c1,c0]) ).
cnf(d1,plain,
$false,
inference(resolution,[status(thm)],[c2,d0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP137-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n019.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Fri Sep 25 14:31:18 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.30/2.35 % SZS status Unsatisfiable for theBenchmark.p
% 14.30/2.35 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------