The Vol-Det conjecture for alternating hyperbolic links

Let $K$ be an alternating hyperbolic link in $S^3$. Its hyperbolic volume is denoted by $\operatorname{vol}(K)=\operatorname{vol}(S^3\setminus K)$, and its determinant by $\det(K)$. Vol-Det conjecture.

$$\operatorname{vol}(K)<2\pi\log\det(K).$$

This conjecture relates two fundamental link invariants, hyperbolic volume and determinant, and was formulated by Champanerkar, Kofman, and Purcell. The supplied text does not indicate whether it has been resolved.