What does that mean? Something is either proved or it is not. It can be proved true, or proved false, but to be proved absolute means nothing. Absolute what?
Also, the purpose of proof is not to convince others, but to insure one's own reason is correct. Truth is truth, even if no one else knows it.
Objectivists claim that philosophies that contain contradictions are wrong.
I have never read that claim in those words in anything Rand wrote, but, it is true that objectivism recognizes that no two contradictory statements can both be true.
You are implying a contradiction in objectivism. Care to name one?
By the way: Do you have a moral code? Do you have a philosophy? Can you prove them?
Hank