When we had mice in our house years ago, we tried for a few weeks setting poison bait in the garage to get rid of them. We could tell the mice were eating the bait, but there was still no end to the mice.
We then had a thought... what if the mice were also eating the dog food in the garage? The container lid for the dog food was not very strong (weak and flexible enough that a mouse could possibly squeeze in and out), and coincidentally, that dog food was also high in Vitamin K.
Once we got better sealed containers to store the dog food, it only took a few days before we started seeing delirious, sick mice running around aimlessly in plain day light. Shortly after that, we stopped seeing them entirely.
It's possible the dog food was not reversing the poison. Maybe with the dog food locked up they started eating more bait, or maybe it simply took longer than we expected for the poison kick in. But regardless, we definitely learned a valuable lesson about keeping the pet food well sealed!
Just curious, you poisoned them once and no mice returned ever since? In my house I had mice during the cold/wet season. Attempts to get rid of the population by killing them were futile. (House is now free of mice though. I secured every single possibility to get in during the summer. I read some mice can get through gaps that are 1 cm or .4 inches wide.)