That would indicate that the toilet is recirculating. If you need to trouble shoot for that problem, put some water into the bowl to which you've added food coloring...flush in the dry mode...watch for colored water to run down from the rim.

If it's not recirculating, the problem is most likely a failed wet dry cam in the pump...that isn't in any of the rebuild kits either. You'll find the exploded drawing and parts list for the HF here: http://www.groco.net/SVC-MAN-07/Sec1/pdfs/HF.pdf Item #5 is the wet/dry cam assembly.

If everything isn't a match, it means your toilet is old enough to be an HC or an HE...in which case it's WAAAY outlived its useful life.