Why does Oedipus accuse Creon of conspiracy?

After Oedipus commits himself to tracking down the murderer, Teiresias arrives, led by a little boy, and Oedipus asks him to name the murderer. Teiresias initially refuses, and attempts to leave; Oedipus responds angrily, and Teiresias tells him that even his words “miss the mark” (325). “All of you here know nothing,” Teiresias says, and Oedipus furiously accuses Teiresias himself of being “complotter of the deed” with Creon (348). Teiresias tells Oedipus that Oedipus himself is Thebes’ pollution.

Oedipus rejects Teiresias’ words, and calls him “blind in mind and ears / as well as in your eyes” (371-2) – Teiresias responds simply that these are insults which everyone will soon heap upon Oedipus himself. Oedipus, now suspicious of Creon as a conspirator with Teiresias, outlines his own achievement in solving the riddle of the sphinx.