A serious disagreement
Just like any other friendships, cat-human friendships have their ups and downs. And just because we love our pets dearly, doesn’t mean they never get on our nerves, and vise versa. We don’t know what specifically the argument is about, but we can assume from their body language that none of them is ready to make a compromise.
Perhaps spending them in different rooms is what is needed for cooling off. That way they will realize that they love each other too much to waste time on stupid arguments.