Ha! It's not what drains out of the grey tank, it's what comes back through the system from the grey tank.
Thanks, Traveler, for the info. I found that undersink stack and I'll see if the vacuum break can be removed from the top of it and replaced. I suspected a vacuum break, but couldn't locate one until I dug a bit deeper under the sink, thanks to your help.
Another quick and brilliant solution on this great forum. Thanks again, one and all.
Kip