Could one perhaps require from the Room of Requirements an object which is powerful enough to destroy a Horcrux?
Let's say you could even be specific, for example: 'I need a Basilisk Fang'.
I'm not saying why didn't this happen because that would be silly, but is this possible?
More than just a Basilisk Fang; what about the Sword of Gryffindor (after is is imbued with the Basilisk venom)? or any other known destroyers of a Horcrux?