Is the wife of the one who swore to divorce or leave the house if a certain person entered his house without his consent divorced, given that the oath was made in a moment of anger and he did not leave the house?

If a man swears an oath of divorce with the words, "If I do not leave the house, then you are divorced," and he did not intend a specific time for leaving, then he does not break his oath unless there is a despair of his leaving, such as if he dies or his wife dies. However, if he specified a time for it, then the oath is broken when that time expires and he has not left the house. Disagreement on these matters exists among scholars.