%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP148-1 : 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 07:23:15 AM UTC 2026
% Result : Unsatisfiable 2.93s 11.04s
% Output : CNFRefutation 2.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of clauses : 34 ( 34 unt; 0 nHn; 15 RR)
% Number of literals : 34 ( 33 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 : 35 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax_lub1c_1,hypothesis,
'least$uupper$ubound'(a,c) = c ).
cnf(ax_lub1c_2,hypothesis,
'least$uupper$ubound'(b,c) = c ).
cnf(prove_ax_lub1c,negated_conjecture,
'greatest$ulower$ubound'('least$uupper$ubound'(a,b),c) != 'least$uupper$ubound'(a,b) ).
cnf(symmetry_of_glb,axiom,
'greatest$ulower$ubound'(X0,X1) = 'greatest$ulower$ubound'(X1,X0) ).
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_lub,axiom,
'least$uupper$ubound'(X0,X0) = X0 ).
cnf(lub_absorbtion,axiom,
'least$uupper$ubound'(X0,'greatest$ulower$ubound'(X0,X1)) = X0 ).
cnf(glb_absorbtion,axiom,
'greatest$ulower$ubound'(X0,'least$uupper$ubound'(X0,X1)) = X0 ).
cnf(c0,plain,
'least$uupper$ubound'(a,c) = c,
inference(clausification,[status(esa)],[ax_lub1c_1]) ).
cnf(c1,plain,
'least$uupper$ubound'(b,c) = c,
inference(clausification,[status(esa)],[ax_lub1c_2]) ).
cnf(c2,plain,
'greatest$ulower$ubound'('least$uupper$ubound'(a,b),c) != 'least$uupper$ubound'(a,b),
inference(clausification,[status(esa)],[prove_ax_lub1c]) ).
cnf(c6,plain,
'greatest$ulower$ubound'(X0,X1) = 'greatest$ulower$ubound'(X1,X0),
inference(clausification,[status(esa)],[symmetry_of_glb]) ).
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(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(c13,plain,
'greatest$ulower$ubound'(X0,'least$uupper$ubound'(X0,X1)) = X0,
inference(clausification,[status(esa)],[glb_absorbtion]) ).
cnf(d0,plain,
'greatest$ulower$ubound'(X0,'least$uupper$ubound'(X1,X0)) = X0,
inference(superposition,[status(thm)],[c7,c13]) ).
cnf(d1,plain,
'least$uupper$ubound'(X0,'greatest$ulower$ubound'(X1,X0)) = X0,
inference(superposition,[status(thm)],[c6,c12]) ).
cnf(d2,plain,
'least$uupper$ubound'('least$uupper$ubound'(X0,X1),X0) = 'least$uupper$ubound'(X0,X1),
inference(superposition,[status(thm)],[c13,d1]) ).
cnf(d3,plain,
'least$uupper$ubound'(X0,'least$uupper$ubound'(X0,X1)) = 'least$uupper$ubound'(X0,X1),
inference(demodulation,[status(thm)],[d2,c7]) ).
cnf(d4,plain,
'least$uupper$ubound'(c,a) = c,
inference(demodulation,[status(thm)],[c0,c7]) ).
cnf(d5,plain,
'least$uupper$ubound'(c,c) = 'least$uupper$ubound'(c,a),
inference(superposition,[status(thm)],[d4,d3]) ).
cnf(d6,plain,
c = 'least$uupper$ubound'(c,a),
inference(demodulation,[status(thm)],[d5,c10]) ).
cnf(d7,plain,
'least$uupper$ubound'(c,'least$uupper$ubound'(a,X0)) = 'least$uupper$ubound'(c,X0),
inference(superposition,[status(thm)],[d6,c9]) ).
cnf(d8,plain,
'greatest$ulower$ubound'('least$uupper$ubound'(a,X0),'least$uupper$ubound'(c,X0)) = 'least$uupper$ubound'(a,X0),
inference(superposition,[status(thm)],[d7,d0]) ).
cnf(d9,plain,
'greatest$ulower$ubound'('least$uupper$ubound'(c,X0),'least$uupper$ubound'(a,X0)) = 'least$uupper$ubound'(a,X0),
inference(demodulation,[status(thm)],[d8,c6]) ).
cnf(d10,plain,
'least$uupper$ubound'(c,b) = c,
inference(demodulation,[status(thm)],[c1,c7]) ).
cnf(d11,plain,
'least$uupper$ubound'(c,c) = 'least$uupper$ubound'(c,b),
inference(superposition,[status(thm)],[d10,d3]) ).
cnf(d12,plain,
c = 'least$uupper$ubound'(c,b),
inference(demodulation,[status(thm)],[d11,c10]) ).
cnf(d13,plain,
'greatest$ulower$ubound'(c,'least$uupper$ubound'(a,b)) = 'least$uupper$ubound'(a,b),
inference(superposition,[status(thm)],[d12,d9]) ).
cnf(d14,plain,
'greatest$ulower$ubound'(c,'least$uupper$ubound'(a,b)) != 'least$uupper$ubound'(a,b),
inference(demodulation,[status(thm)],[c2,c6]) ).
cnf(d15,plain,
$false,
inference(resolution,[status(thm)],[d14,d13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP148-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.03 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Fri Sep 25 14:35:12 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.93/11.04 % SZS status Unsatisfiable for theBenchmark.p
% 2.93/11.04 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------