Some 30+ years ago a cat "adopted" me and my family. It was a big ginger male cat. He was "intact" - we were very much opposed to invasive fertility-removal surgery at the time. Posthumously he was named Buster, but we didn't give him a name while he lived with us for some reason, probably because we figured he already had a name, and we didn't want to confuse him or disrespect him with a new one.
Anyway, he was a tough cat. One day the neighbours' dog, Snobben, came for a visit - he was an angry westie, and walked around outside on his own during the daytime, as was the custom in those days. On approaching the house, he discovered Buster on the stairs outside our house, and immediately went into a rage of barking. Buster stood his ground on the staircase. The barking continued, and at that point I invited Buster to come inside. He did come in at first, but then had a change of heart, and signalled that he wanted to go back outside. At 4 years old or so, I'm not sure what my thinking was exactly, but in any case I let Buster out again. Snobben had now come a bit closer to the staircase. Upon discovering that the cat was coming back out, he too had a change of heart, and decided that retreat was now required. Buster decided to make sure he left the territory properly. So it was cat chasing dog - an unusual sight, especially for 4 year old me.