DISPROVED (LEAN) on the site. Pommerenke's Theorem 14 of 1961, $z^p(z-a)$ whose closed sublevel set at level $1$ has two components, one of them not convex, is the accepted disproof in the problem's exact terms (Pommerenke's claim page (1961)); Goodman's 1966 quartics, one with four simple roots, disprove Grunsky's question for the open sublevel set at a critical level, and the paper does not treat the problem's closed set (Goodman's claim page (1966)); the Lean qualifier of the site's label refers to Alexeev's Lean proof with $z^6-z$, found by Aristotle from the informal statement, which this corpus built at a pinned commit and accepted as a formalized disproof, resting on the classical fact that every component of the set contains a root (Alexeev's claim page (2026)).