The Innocence of Oedipus

In Oedipus the King, we see the story of a man that is very tragic. On surface level it would appear that Oedipus killed his father and slept with his mother. If we look deeper into the text, there are many discrepancies with this claim. I would claim that Oedipus did not kill his father but, rather killed a farmer and the man who killed King Laius was not Oedipus. I am reading through multiple different translations at the moment to see, if these discrepancies are the same in all of them but, with the translation we are given it points to the fact that Oedipus did not kill his father.