No caving. Let him play his little games. You have both the facts and the law on your side. Stay calm, point that out to the court, and point out that he is wasting your time and the court's time.
Trust me, he wins ONLY to the extent that you allow this nonsense to get under your skin. As long as you stick to the letter of the order you have nothing to worry about. Courts do NOT appreciate people who abuse the system. At this point your credibility is much better than his. Protect your credibility by responding in a reasonable way and he won't get anywhere with this nonsense.