Automated or not, someone set up the system. "Oh. I'm sorry. My Automated script did it". Make them pay a fine. One which increases for each false claim. Another problem is third party enforcement. Rights holders hire companies to do this for them, then wash their hands of it. Make the original rights holders responsible. That's the way is works in the brick and mortar world. Own a building, you're liable. If a contractor does shoddy, you're responsible. Though you may be able to sue the contractor.
As people and companies are claiming (and in many cases justly so) real rights to content on the internet. It's time to bring the other side of that coin into play. If someone wrongly says they own part of your yard, you're entitled to damages.