First you need to define the specific premise you're seeking to prove. I can't understand what it is you're trying to say here. If you don't owe restitution after a trial determines there is restitution owed? If you've paid the money then you've paid the money. If it corresponds to the restitution that was owed, e.g. you owed $600 and while the case was in trial you paid $500, then all you owe is $100. It doesn't matter that a judgment is issued after payment of the $500. If this is what you're seeking, you can demand a satisfaction of judgment from the court if you paid off the amount. And if the other party tries to sue you or execute on the $500 amount, they will fail.