%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP157-1 : 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 : n007.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 07:23:16 AM UTC 2026
% Result : Unsatisfiable 12.03s 3.45s
% Output : CNFRefutation 12.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 19 ( 19 unt; 0 nHn; 9 RR)
% Number of literals : 19 ( 18 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(ax_mono2a_1,hypothesis,
'least$uupper$ubound'(a,b) = b ).
cnf(prove_ax_mono2a,negated_conjecture,
'least$uupper$ubound'(multiply(c,a),multiply(c,b)) != multiply(c,b) ).
cnf(left_identity,axiom,
multiply(identity,X0) = X0 ).
cnf(associativity,axiom,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ).
cnf(symmetry_of_lub,axiom,
'least$uupper$ubound'(X0,X1) = 'least$uupper$ubound'(X1,X0) ).
cnf(monotony_lub1,axiom,
multiply(X0,'least$uupper$ubound'(X1,X2)) = 'least$uupper$ubound'(multiply(X0,X1),multiply(X0,X2)) ).
cnf(c0,plain,
'least$uupper$ubound'(a,b) = b,
inference(clausification,[status(esa)],[ax_mono2a_1]) ).
cnf(c1,plain,
'least$uupper$ubound'(multiply(c,a),multiply(c,b)) != multiply(c,b),
inference(clausification,[status(esa)],[prove_ax_mono2a]) ).
cnf(c2,plain,
multiply(identity,X0) = X0,
inference(clausification,[status(esa)],[left_identity]) ).
cnf(c4,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(clausification,[status(esa)],[associativity]) ).
cnf(c6,plain,
'least$uupper$ubound'(X0,X1) = 'least$uupper$ubound'(X1,X0),
inference(clausification,[status(esa)],[symmetry_of_lub]) ).
cnf(c13,plain,
multiply(X0,'least$uupper$ubound'(X1,X2)) = 'least$uupper$ubound'(multiply(X0,X1),multiply(X0,X2)),
inference(clausification,[status(esa)],[monotony_lub1]) ).
cnf(d0,plain,
'least$uupper$ubound'(b,a) = b,
inference(demodulation,[status(thm)],[c0,c6]) ).
cnf(d1,plain,
'least$uupper$ubound'(multiply(c,b),multiply(c,a)) != multiply(c,b),
inference(demodulation,[status(thm)],[c1,c6]) ).
cnf(d2,plain,
multiply(c,'least$uupper$ubound'(b,a)) != multiply(c,b),
inference(demodulation,[status(thm)],[d1,c13]) ).
cnf(d3,plain,
multiply(c,b) != multiply(c,b),
inference(demodulation,[status(thm)],[d2,d0]) ).
cnf(d4,plain,
multiply(X0,X1) = multiply(identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c2,c4]) ).
cnf(d5,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d4,c2]) ).
cnf(d6,plain,
$false,
inference(resolution,[status(thm)],[d5,d3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : GRP157-1 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Fri Sep 25 14:30:08 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 Running casc-portfolio.sh -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.03/3.45 % SZS status Unsatisfiable for theBenchmark.p
% 12.03/3.45 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------