It's a legit question. The name has no special meaning. It's more or less a randomly chosen name (I thought it is cool but this was over 10 years ago) and I think calling my own stuff "Real Software" would be a bit arrogant in some way. Understatement is more charming than overstatement
The name "Unreal Software" has actually no distinctive meaning but therefore allows a lot of interpretation. However it is definitively not related with the "Unreal" games and engines by Epic Games.