Oedipus' fault?

I do not believe it is Oedipus' fault because he did not realize that it was his father he was killing,  and his mother he committed incest with. When he left Corinth he did it for the sole reason of trying to escape his prophecy. It is not his fault that he did not realize his real parents were actually from Thebes. Oedipus did the right thing by trying to escape Corinth, yet he just became a victim of cruel fate.