%------------------------------------------------------------------------------
% File : LisaST---0.9
% Problem : GRP176-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 07:23:20 AM UTC 2026
% Result : Unsatisfiable 13.42s 8.11s
% Output : CNFRefutation 13.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 15 ( 15 unt; 0 nHn; 5 RR)
% Number of literals : 15 ( 14 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 24 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_p07,negated_conjecture,
multiply(c,multiply('least$uupper$ubound'(a,b),d)) != 'least$uupper$ubound'(multiply(c,multiply(a,d)),multiply(c,multiply(b,d))) ).
cnf(left_identity,axiom,
multiply(identity,X0) = X0 ).
cnf(associativity,axiom,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)) ).
cnf(monotony_lub1,axiom,
multiply(X0,'least$uupper$ubound'(X1,X2)) = 'least$uupper$ubound'(multiply(X0,X1),multiply(X0,X2)) ).
cnf(monotony_lub2,axiom,
multiply('least$uupper$ubound'(X0,X1),X2) = 'least$uupper$ubound'(multiply(X0,X2),multiply(X1,X2)) ).
cnf(c1,plain,
multiply(c,multiply('least$uupper$ubound'(a,b),d)) != 'least$uupper$ubound'(multiply(c,multiply(a,d)),multiply(c,multiply(b,d))),
inference(clausification,[status(esa)],[prove_p07]) ).
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(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(c15,plain,
multiply('least$uupper$ubound'(X0,X1),X2) = 'least$uupper$ubound'(multiply(X0,X2),multiply(X1,X2)),
inference(clausification,[status(esa)],[monotony_lub2]) ).
cnf(d0,plain,
multiply(c,multiply('least$uupper$ubound'(a,b),d)) != multiply(c,'least$uupper$ubound'(multiply(a,d),multiply(b,d))),
inference(demodulation,[status(thm)],[c1,c13]) ).
cnf(d1,plain,
multiply(c,multiply('least$uupper$ubound'(a,b),d)) != multiply(c,multiply('least$uupper$ubound'(a,b),d)),
inference(demodulation,[status(thm)],[d0,c15]) ).
cnf(d2,plain,
multiply(X0,X1) = multiply(identity,multiply(X0,X1)),
inference(superposition,[status(thm)],[c2,c4]) ).
cnf(d3,plain,
multiply(X0,X1) = multiply(X0,X1),
inference(demodulation,[status(thm)],[d2,c2]) ).
cnf(d4,plain,
$false,
inference(resolution,[status(thm)],[d3,d1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : GRP176-2 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.44 % Computer : n003.cluster.edu
% 0.16/5.44 % Model : x86_64 x86_64
% 0.16/5.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/5.44 % Memory : 8046.5625MB
% 0.16/5.44 % OS : Linux 6.8.0-71-generic
% 0.16/5.44 % CPULimit : 300
% 0.16/5.44 % WCLimit : 300
% 0.16/5.44 % DateTime : Fri Sep 25 14:35:59 UTC 2026
% 0.16/5.44 % CPUTime :
% 0.16/5.44 Running casc-portfolio.sh -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.42/8.11 % SZS status Unsatisfiable for theBenchmark.p
% 13.42/8.11 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
%------------------------------------------------------------------------------