That something is something that

Something that is born always dies. To prove the otherwise, finding something that never dies would obviously satisfy.

But what about something that never gets born - wouldn't that be satisfactory, too? "Something that is never born, never dies." But if that something is never born, how can we give it an existence? - the mere conception of that something will be the process of its creation. Hence it always has to be born, and yet not necessarily die.