On hereditary superradical formations

A formation $\mathfrak F$ is superradical provided that: (1) $\mathfrak F$ is a normally hereditary formation; (2) each group $G=AB$, where $A$ and $B$ are $\mathfrak F$-subnormal $\mathfrak F$-subgroups in $G$, belongs to $\mathfrak F$. We give an example of a hereditary superradical formation that is not soluble saturated. This gives a negative answer to Problem 14.99(b) in The Kourovka Notebook.