Yes, ladies and gentlemen, before mixed martial arts there was:
The skill of gymnastics, the kill of karate.
A friend of mine pointed me to the trailer for a movie called Gymkata (Robert Clouse, 1985).
Behold the awesome terribleness.
You gotta see the final fight scene here. It’s a little creepy and mucho campy. Just listen to the sound effects. And, indeed, there is a pommel horse in the eastern Europeanish town square.