Atheists and Logic

What is Logic: The use of arguments in which reasons are presented to prove the truth of what one desires to assert.

What is Atheism: Well, there are many kinds, different kinds of "denominations" if you will. But the specific type I want to mention are those that simple deny the existence of any supernatural forces or beings, just material things.

First, Some questions
1. If everything is relative (which is self-refuting) how can Atheists argue for Logic?

2. Do Atheists have a valid arguement for Logic?

3. How is it possible that all of mankind uses Logic when there was no such thing
as Logic before man came into existence?

4. If they argue against Logic, what rules do they use to do so?

Without an eternal infinite being that thinks logically and imparts logic to finite creatures it is impossible for finite creatures to think logically. If there was no mind before man (there must be thought in order for there to be logical thinking. Example: there is no logical thoughts that exist in rocks because they do not think), then how is it possible that logic came into existence? I use the example of a robot. How much does a robot know? It only knows as much as what was/is given to it. Can the robot go beyond what has been given to it? No. Can a robot perform anything without a person that thinks logically and had already imputed information within it to perform its task? No.