Some say that a reason for the prohibition of having an ox and a donkey work together is that they don’t work at the same pace, and it makes them unnecessarily uncomfortable.
I’ve seen quite a number of households where both dogs and cats are present. It is highly unlikely that the dog will spend all of its time (or really any of it) chasing the cat.
Stop getting your information about animal relationships from cartoons.
Hrmph, Wolf, so cat chasing mice is just Tom and Jerry cartoon style narishkeit? Besides, it ain’t just cartoons. Have you heard the ancient adage about “fighting like cats and dogs”?
It is true that some dogs fight with or chase cats. But there are other dogs and cats that will not fight. Dogs also fight other dogs and cats fight other cats. While dog-cat conflict is not unheard of, most dogs and cats have better things to do with their time.