Okay I believe I've tracked down the issue. It makes no sense that you were getting an error related to the parent_id because it has nothing to do with that, but the problem is that, in the &domains namelist record, num_land_cat is set. That parameter needs to be in the &physics record, instead. You do have it there, as well, but it needs to be removed from the &domains record, and you need to set it to 40 in the &physics record.
That being said, you should still consider using a smaller parent_grid_ratio - something more like 5:1. As I mentioned before, the results will likely not be as reasonable as expected with such a big difference in domains.