Instanton knot homology comparison conjecture

Let $K\subset S^{3}$ be a knot. Denote the knot homologies defined by Ozsváth–Szabó and Rasmussen by their respective knot homology groups, and denote Floer's instanton homology for knots by $aKHI(K)$. Instanton knot homology comparison conjecture. With complex coefficients, the knot homologies defined by Ozsváth–Szabó and Rasmussen are isomorphic to Floer's instanton homology for knots, $aKHI(K)$. This is presented as a special case of the sutured homology comparison conjecture, and the source does not report a resolution.