HoMM3 HD is a mod (add-on) for the game Heroes of Might and Magic 3.

3: Player1 vs Player2\3\112.gm2
or maybe
4: Player1 vs Player2\2SM2c, M+U, 1441608083\112.gm2

Both options seem good. What is 1441608083 in the example? Is it a generation number? (like a map seed?) What is the probability that it will repeat, and what does it depend on?

As an alternative, could we name the folder not Player1 vs Player2, but simply with the opponent's nickname?