Sigmund Freud on Oedipus

Sigmund Freud, in his behavioral theory; which has come to be known as the “Oedipus Complex”, contends that human behavior is exemplified by the Greek tragedy, Oedipus the King. According to Freud, it every child’s wish when between the ages of three and six to replace the parent of the same sex in their other parent’s affections., similar to the situation that Oedipus unwittingly found himself in, having killed his father and married his mother. He also argued that Oedipus while operating in power of his Id killed his father and married his mother all the while repressing the truth from his conscious mind.
I believe that if based solely on the plot of Oedipus the King, this theory would prove to be problematic because Oedipus did not repress the awareness of who Laius and Jocasta were; they were strangers to him upon coming into with them the first time as an adult. Since, Oedipus had been abandoned at only three days old he never had the opportunity to get know either of his biological parents thus when he killed Laius he had not killed his father but an arrogant stranger who attempted to hurt him. This theory also does not apply to in the case of Jocasta because in marrying her he married a complete stranger. Due to the fact that Oedipus had not been raised by Jocasta and Laius he had no parental relationship with them. A mere biological relationship between people is meaningless if the child has no knowledge of the biological parents and others have satisfied the role of parents, as in the case of Oedipus. In fact, the couple with whom he had a parental bond with were Polybus and Merope; who had raised him. Thus, Oedipus would have been in competition with Polybus rather than with Laius, so if this hypothesis were to apply it would have been Polybus whom Oedipus killed in order to marry Merope. Moreover, upon the revelation of his destiny Oedipus could have chosen to remain in Corinth if this was his subconscious desire but instead we see him immediately