Our neighbor constructed his house such that it extended four feet across the property line. When we found out about this, we tried to work something out to adjust the property line or give him an easement, but with our maintaining clear rights to the rest of our property. He decided instead to sue for adverse possession, and he tried to claim a fourteen-foot-wide strip of land down the entire property line.
The court denied his claim, finding that he did not prove adverse possession in relation to the entire strip, and that as he didn't claim adverse possession of a smaller area or seek any other form of relief, he lost his case.
He is now saying that he's going to file a new case for adverse possession for that smaller area. We're not willing to work with him any more, because he refused an amicable settlement offer and cost us a lot of time and money. Can he successfully sue us?

