Does divorce take place if a man made his wife's divorce contingent upon her not leaving the house without his permission, and he intended a specific day but did not clarify it to his wife, so the wife swore not to leave on that day, but then it became clear that she had left on a previous day without his permission?

The intention affects oaths. So, if by your oath today you intended the day you did not answer the phone, then you do not break your oath by her going out on any other day. One should be wary of being lenient in matters of divorce and should find solutions for marital problems. Also, it is not permissible for a woman to leave her husband's house without his permission.