  The Swiss-Cheese operads, which encode actions of algebras over the little
$n$-cubes operad on algebras over the little $(n-1)$-cubes operad, comes in
several variants. We prove that the variant in which open operations must have
at least one open input is not formal in characteristic zero. This is slightly
stronger than earlier results of Livernet and Willwacher. The obstruction to
formality that we find lies in arity $(2, 2^n)$, rather than $(2, 0)$
(Livernet) or $(4, 0)$ (Willwacher).
