%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP162-1 : 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 : n015.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 15.89s 3.99s
% Output : CNFRefutation 15.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 24 ( 24 unt; 0 nHn; 15 RR)
% Number of literals : 24 ( 23 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 : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 17 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax_transa_1,hypothesis,
'least$uupper$ubound'(a,b) = b ).
cnf(ax_transa_2,hypothesis,
'least$uupper$ubound'(b,c) = c ).
cnf(prove_ax_transa,negated_conjecture,
'least$uupper$ubound'(a,c) != c ).
cnf(symmetry_of_lub,axiom,
'least$uupper$ubound'(X0,X1) = 'least$uupper$ubound'(X1,X0) ).
cnf(associativity_of_lub,axiom,
'least$uupper$ubound'(X0,'least$uupper$ubound'(X1,X2)) = 'least$uupper$ubound'('least$uupper$ubound'(X0,X1),X2) ).
cnf(idempotence_of_gld,axiom,
'greatest$ulower$ubound'(X0,X0) = X0 ).
cnf(glb_absorbtion,axiom,
'greatest$ulower$ubound'(X0,'least$uupper$ubound'(X0,X1)) = X0 ).
cnf(c0,plain,
'least$uupper$ubound'(a,b) = b,
inference(clausification,[status(esa)],[ax_transa_1]) ).
cnf(c1,plain,
'least$uupper$ubound'(b,c) = c,
inference(clausification,[status(esa)],[ax_transa_2]) ).
cnf(c2,plain,
'least$uupper$ubound'(a,c) != c,
inference(clausification,[status(esa)],[prove_ax_transa]) ).
cnf(c7,plain,
'least$uupper$ubound'(X0,X1) = 'least$uupper$ubound'(X1,X0),
inference(clausification,[status(esa)],[symmetry_of_lub]) ).
cnf(c9,plain,
'least$uupper$ubound'(X0,'least$uupper$ubound'(X1,X2)) = 'least$uupper$ubound'('least$uupper$ubound'(X0,X1),X2),
inference(clausification,[status(esa)],[associativity_of_lub]) ).
cnf(c11,plain,
'greatest$ulower$ubound'(X0,X0) = X0,
inference(clausification,[status(esa)],[idempotence_of_gld]) ).
cnf(c13,plain,
'greatest$ulower$ubound'(X0,'least$uupper$ubound'(X0,X1)) = X0,
inference(clausification,[status(esa)],[glb_absorbtion]) ).
cnf(d0,plain,
'least$uupper$ubound'(c,b) = c,
inference(demodulation,[status(thm)],[c1,c7]) ).
cnf(d1,plain,
'least$uupper$ubound'(c,'least$uupper$ubound'(b,X0)) = 'least$uupper$ubound'(c,X0),
inference(superposition,[status(thm)],[d0,c9]) ).
cnf(d2,plain,
'least$uupper$ubound'(b,a) = b,
inference(demodulation,[status(thm)],[c0,c7]) ).
cnf(d3,plain,
'least$uupper$ubound'(c,b) = 'least$uupper$ubound'(c,a),
inference(superposition,[status(thm)],[d2,d1]) ).
cnf(d4,plain,
c = 'least$uupper$ubound'(c,a),
inference(demodulation,[status(thm)],[d3,d0]) ).
cnf(d5,plain,
'least$uupper$ubound'(c,a) != c,
inference(demodulation,[status(thm)],[c2,c7]) ).
cnf(d6,plain,
c != c,
inference(demodulation,[status(thm)],[d5,d4]) ).
cnf(d7,plain,
'greatest$ulower$ubound'(c,c) = c,
inference(superposition,[status(thm)],[d0,c13]) ).
cnf(d8,plain,
c = c,
inference(demodulation,[status(thm)],[d7,c11]) ).
cnf(d9,plain,
$false,
inference(resolution,[status(thm)],[d8,d6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP162-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.07 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n015.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Fri Sep 25 14:35:42 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.45 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 15.89/3.99 % SZS status Unsatisfiable for theBenchmark.p
% 15.89/3.99 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------