This is map05 of dmd2die.wad, AKA Doomed 2 Die. It's a compilation of fun 1994 maps, go check it out if you're on oldschooler, it was my first megawad and I LOVED it back in the day, but.. Doom mapping has come long way since then.
Surprisingly the map isn't that bad, by 1994 standards. I first played this in dmd2die.wad, where it's map30. Unlike most DM maps from this era, you might actually find the other opponent, which is a plus.