MAYBE MAYBE TRS: { g(true(), x, y, z) -> z, g(false(), x, y, z) -> f(f(p(x), y, z), f(p(y), z, x), f(p(z), x, y)), f(x, y, z) -> g(<=(x, y), x, y, z), p(0()) -> 0(), p(s(x)) -> x } DUP: We consider a duplicating system. Trs: { g(true(), x, y, z) -> z, g(false(), x, y, z) -> f(f(p(x), y, z), f(p(y), z, x), f(p(z), x, y)), f(x, y, z) -> g(<=(x, y), x, y, z), p(0()) -> 0(), p(s(x)) -> x } Fail