These tiny bugs are all over my kitchen and I can't get them to go away. Help?

They aren’t gnats, they aren’t fruit flies… I’ve never seen anything like this. They mostly just gather in groups and land on the floor, counters, etc. They look like they’re dead but will move slowly. They barely fly, and mostly stay in the kitchen. The bug guy said they were from my compost but that doesn’t seem to be the case. They gather near the cat food, mostly (but again, only the cat food in the kitchen, not in other rooms!).

I’m pretty anti chemicals so don’t want to bomb/spray Raid everywhere. I’ve tried to leave vinegar with a little dish soap out, but it’s not really working (the first day I left it out, I actually noticed almost none of these guys were around but that hasn’t been the case since). I have no idea where they’re coming from. What do I do?