%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP145-1 : 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 : n008.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 07:23:14 AM UTC 2026
% Result : Unsatisfiable 12.39s 2.34s
% Output : CNFRefutation 12.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of clauses : 13 ( 13 unt; 0 nHn; 6 RR)
% Number of literals : 13 ( 12 equ; 5 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_ax_glb3b,negated_conjecture,
'greatest$ulower$ubound'('greatest$ulower$ubound'(a,b),b) != 'greatest$ulower$ubound'(a,b) ).
cnf(symmetry_of_glb,axiom,
'greatest$ulower$ubound'(X0,X1) = 'greatest$ulower$ubound'(X1,X0) ).
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_gld,axiom,
'greatest$ulower$ubound'(X0,X0) = X0 ).
cnf(c0,plain,
'greatest$ulower$ubound'('greatest$ulower$ubound'(a,b),b) != 'greatest$ulower$ubound'(a,b),
inference(clausification,[status(esa)],[prove_ax_glb3b]) ).
cnf(c4,plain,
'greatest$ulower$ubound'(X0,X1) = 'greatest$ulower$ubound'(X1,X0),
inference(clausification,[status(esa)],[symmetry_of_glb]) ).
cnf(c6,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(c9,plain,
'greatest$ulower$ubound'(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_gld]) ).
cnf(d0,plain,
'greatest$ulower$ubound'(b,'greatest$ulower$ubound'(a,b)) != 'greatest$ulower$ubound'(a,b),
inference(demodulation,[status(thm)],[c0,c4]) ).
cnf(d1,plain,
'greatest$ulower$ubound'(b,'greatest$ulower$ubound'(b,a)) != 'greatest$ulower$ubound'(a,b),
inference(demodulation,[status(thm)],[d0,c4]) ).
cnf(d2,plain,
'greatest$ulower$ubound'(b,'greatest$ulower$ubound'(b,a)) != 'greatest$ulower$ubound'(b,a),
inference(demodulation,[status(thm)],[d1,c4]) ).
cnf(d3,plain,
'greatest$ulower$ubound'(X0,'greatest$ulower$ubound'(X0,X1)) = 'greatest$ulower$ubound'(X0,X1),
inference(superposition,[status(thm)],[c9,c6]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP145-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n008.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 14:32:24 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.39/2.34 % SZS status Unsatisfiable for theBenchmark.p
% 12.39/2.34 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------