You are having one of my favorite re-occuring problems. Are they American Dominiques?
Odds are fight is not to death but they are clearly dinging each other up. Roosters with one year old spurs are going to be doing more damage using wings and bill. Spurs are more important with cocks that are another year or more older.
Several options can be pursued.
You can let them fight it out and break it up only if one gets down. This risky for eyes and in excessive heat.
You can keep them separated for an hour or so allowing there wounds to get sore, then release them again to more quickly decide rank becuase fighting hurts. This works for gamechicks I have.
You can spray them with water as they fight to exhaust them making so rank determination quicker and preferably with less damage.
You can separate them permanently.
You can cull one.
You can put both roosters on tie-cords so they can not get to each other but they will still be able to interact with hens.