Solvable Kauffman conjecture for derivatives

Let $K$ be a knot, let $n\in \frac{1}{2}\mathbb{N}_0$, and let an $(n)$-solvable derivative mean a derivative of $K$ that is $(n)$-solvable. Solvable Kauffman conjecture. For every $n\in\frac{1}{2}\mathbb{N}_0$, if $K$ is $(n+1)$-solvable, then there exists an $(n)$-solvable derivative of $K$. It is known that an $(n)$-solvable derivative implies that the knot is $(n+1)$-solvable; this conjecture asks for the converse and remains open.