In Oedipus Rex, what does Teiresias predict will happen to the man that killed Laios?

In the first act of Oedipus Rex,
Teiresias predicts that Oedipus will be a sibling to his own children, and a
son to his own wife.  He also tells Oedipus that Laius was the man whom Oedipus killed
on the road.  Oedipus does not believe the words of Teiresias, and Teiresias is angered
by Oedipus's insolence.  Teiresias is known for his truthful prophecies and predictions,
but Oedipus's character will not allow him to accept his mistakes and his
fate.