Four generated, squarefree, monomial ideals

Let $I⊋J$ be two squarefree monomial ideals of a polynomial algebra over a field generated in degree $\ge d$, resp. $\ge d+1$ . Suppose that $I$ is either generated by three monomials of degrees $d$ and a set of monomials of degrees $\ge d+1$, or by four special monomials of degrees $d$. If the Stanley depth of $I\mathrm{/}J$ is $\le d+1$ then the usual depth of $I\mathrm{/}J$ is $\le d+1$ too.