It's been answered, but here and here.
The relevant texts:Supernatural abilities are magical and go away in an antimagic field but are not subject to spell resistance, counterspells, or to being dispelled by dispel magic.Neither one says anything about the other, which made me think about whether they're actually the same or if they're actually different.Some creatures have psionic abilities that are considered supernatural...Supernatural abilities are not subject to power resistance and cannot be negated or dispelled; however, they do not function in areas where psionics is suppressed.
Technically, they are different, but since most books suggest a magic-psionics transparency, that difference doesn't matter.