Based on your word choice, there was no compromise. Rather, you gave him an order and are upset/livid because he is disobeying and lying.

The language of compromises is different. Had there been a compromise, you would have written something along the lines of "we agreed that he would...".

Based on the OP alone, your r/s looks like a r/s between a schoolteacher and a pupil in an elementary school during years gone by.

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Research has shown that people tend to uphold agreements entered into during mediation better than follow court orders, even when the content of the agreement/order is the same. So participation matters. People like to participate better than follow somebody's orders.

It does not mean that participation guarantees compliance, but it does increase the chances of compliance.