Some antonyms for the phrase "occupy with" include relinquish, cede, vacate, and abandon. If someone is occupying a space or actively engaging in an activity, these words suggest completely letting go and disengaging from the task at hand. Perhaps this could be in the context of giving up control or responsibility, or simply moving on to other things. On the other hand, antonyms for "occupy with" could also be words like distract or divert, which imply taking one's attention away from a particular activity or project. In this sense, one could actively try to disengage from an activity but still find themselves distracted by other things.