OP, if their case is as rock solid as you say it is, it won't be dismissed. Period.

You've got three options:

1. Ignore the case, and lose for sure.

2. Fight the case (including attending court where and when told to do so) and maybe maybe not losing.

3. Make a sincere attempt to negotiate a settlement with the other party.

You may not like any of these options but they're all you've got.