%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP189-2 : 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 : n016.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 07:23:23 AM UTC 2026
% Result : Unsatisfiable 10.80s 21.89s
% Output : CNFRefutation 10.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 3
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 5 RR)
% Number of literals : 9 ( 8 equ; 4 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 : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 8 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_p38b,negated_conjecture,
'greatest$ulower$ubound'(b,'least$uupper$ubound'(a,b)) != b ).
cnf(symmetry_of_lub,axiom,
'least$uupper$ubound'(X0,X1) = 'least$uupper$ubound'(X1,X0) ).
cnf(glb_absorbtion,axiom,
'greatest$ulower$ubound'(X0,'least$uupper$ubound'(X0,X1)) = X0 ).
cnf(c3,plain,
'greatest$ulower$ubound'(b,'least$uupper$ubound'(a,b)) != b,
inference(clausification,[status(esa)],[prove_p38b]) ).
cnf(c8,plain,
'least$uupper$ubound'(X0,X1) = 'least$uupper$ubound'(X1,X0),
inference(clausification,[status(esa)],[symmetry_of_lub]) ).
cnf(c14,plain,
'greatest$ulower$ubound'(X0,'least$uupper$ubound'(X0,X1)) = X0,
inference(clausification,[status(esa)],[glb_absorbtion]) ).
cnf(d0,plain,
'greatest$ulower$ubound'(b,'least$uupper$ubound'(b,a)) != b,
inference(demodulation,[status(thm)],[c3,c8]) ).
cnf(d1,plain,
b != b,
inference(demodulation,[status(thm)],[d0,c14]) ).
cnf(d2,plain,
$false,
inference(equality_resolution,[status(thm)],[d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP189-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.02 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.38 % Computer : n016.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.04/20.44 % CPULimit : 300
% 0.04/20.44 % WCLimit : 300
% 0.04/20.44 % DateTime : Fri Sep 25 14:36:38 UTC 2026
% 0.04/20.44 % CPUTime :
% 0.04/20.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.80/21.89 % SZS status Unsatisfiable for theBenchmark.p
% 10.80/21.89 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------