Yes, you were right. All of you people who said I shouldn't buy the cheapest vinyl flooring were right. I thought that since I only needed my flooring to last a year or so, I couldn't get away with the cheap stuff. Today my dogs decided otherwise and I came home to this surprise:
That was not a pretty sight. I thought one day they might tear up the edges where the flooring didn't reach all the way to the wall but I never thought they would just tear in to the middle. It would be difficult to patch the area with more vinyl flooring because there would be a lot of loose edges. I decided to use some of the vinyl tiles leftover from the rental house. The tiles are sticky on the back but not sticky enough to stay flat so I nailed them down. Maybe the dogs will forget what they did to the floor and won't repeat it if they can't see it.
It's an awkward fix but it works for now. The dirt is going to gather around the edges and make sweeping more of a chore but at least the hole is gone. I couldn't believe the dogs did this. I even left them a big bowl of water outside to play in but they didn't touch it. I guess they made their own fun with my floor instead.