The nearest thing that I am coming up with is "Traditional English sword dancing". I can get nothing off either trophies. Both men seem to have pronounced undamaged noses, which may eliminate boxing, I looked at weight lifting, based on the physique of the second man, but could find nothing. If it/they were sword related, you would think that they would have their swords present. So, it's only a guess.
Regards
Malky