%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP163-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 07:23:17 AM UTC 2026
% Result : Unsatisfiable 16.78s 2.87s
% Output : CNFRefutation 16.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 18 equ; 3 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax_transb_1,hypothesis,
'greatest$ulower$ubound'(a,b) = a ).
cnf(ax_transb_2,hypothesis,
'greatest$ulower$ubound'(b,c) = b ).
cnf(prove_ax_transb,negated_conjecture,
'greatest$ulower$ubound'(a,c) != a ).
cnf(associativity_of_glb,axiom,
'greatest$ulower$ubound'(X0,'greatest$ulower$ubound'(X1,X2)) = 'greatest$ulower$ubound'('greatest$ulower$ubound'(X0,X1),X2) ).
cnf(idempotence_of_lub,axiom,
'least$uupper$ubound'(X0,X0) = X0 ).
cnf(lub_absorbtion,axiom,
'least$uupper$ubound'(X0,'greatest$ulower$ubound'(X0,X1)) = X0 ).
cnf(c0,plain,
'greatest$ulower$ubound'(a,b) = a,
inference(clausification,[status(esa)],[ax_transb_1]) ).
cnf(c1,plain,
'greatest$ulower$ubound'(b,c) = b,
inference(clausification,[status(esa)],[ax_transb_2]) ).
cnf(c2,plain,
'greatest$ulower$ubound'(a,c) != a,
inference(clausification,[status(esa)],[prove_ax_transb]) ).
cnf(c8,plain,
'greatest$ulower$ubound'(X0,'greatest$ulower$ubound'(X1,X2)) = 'greatest$ulower$ubound'('greatest$ulower$ubound'(X0,X1),X2),
inference(clausification,[status(esa)],[associativity_of_glb]) ).
cnf(c10,plain,
'least$uupper$ubound'(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_lub]) ).
cnf(c12,plain,
'least$uupper$ubound'(X0,'greatest$ulower$ubound'(X0,X1)) = X0,
inference(clausification,[status(esa)],[lub_absorbtion]) ).
cnf(d0,plain,
'greatest$ulower$ubound'(a,'greatest$ulower$ubound'(b,X0)) = 'greatest$ulower$ubound'(a,X0),
inference(superposition,[status(thm)],[c0,c8]) ).
cnf(d1,plain,
'greatest$ulower$ubound'(a,b) = 'greatest$ulower$ubound'(a,c),
inference(superposition,[status(thm)],[c1,d0]) ).
cnf(d2,plain,
a = 'greatest$ulower$ubound'(a,c),
inference(demodulation,[status(thm)],[d1,c0]) ).
cnf(d3,plain,
a != a,
inference(demodulation,[status(thm)],[c2,d2]) ).
cnf(d4,plain,
'least$uupper$ubound'(a,a) = a,
inference(superposition,[status(thm)],[c0,c12]) ).
cnf(d5,plain,
a = a,
inference(demodulation,[status(thm)],[d4,c10]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP163-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Fri Sep 25 14:32:21 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.36 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.78/2.87 % SZS status Unsatisfiable for theBenchmark.p
% 16.78/2.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------