Rationality conjecture for varieties with Du Bois divisors

Let $X$ be a reduced scheme of finite type over a field of characteristic zero, and let $D$ be a Cartier divisor with Du Bois singularities. Assume that $X\setminus D$ has rational singularities. Rationality conjecture for Du Bois divisors. Then $X$ has rational singularities; in particular, $X$ is Cohen–Macaulay. This conjecture generalizes the known result in which $X\setminus D$ is assumed smooth, and is motivated by the relationship between rational and Du Bois singularities. Its resolution status is not given in the supplied text.