Those are the min specs for the application to run, not the minimum spec to have all the features running to their max outputs. For this you need to be at least into the required field.
Intel Core Duo T2400 @ 1.83GHz Passmark : 879 Rank : 750
Intel Core2 Duo E4300 @ 1.80GHz Passmark : 1056 Rank : 677
Intel Core2 Duo E6300 @ 1.86GHz Passmark : 1115 Rank : 654
Source :
http://www.cpubenchmark.netI can run Cross on an old laptop :
Intel Core2 Duo T5500 @ 1.66GHz Passmark : 924 Rank : 726
It will just run, I'll have all sort of graphic freeze and hang, but the sound will be ok. It will be less responsive, I can't set the latency very low : it will just run. As an emergency or a backup it could do the job, as the main engine of a DMC show it can't.
As application grown up you need bigger and bigger specs. I have seen this on Mac, on PC, be it Traktor, Serato, MixVibes, Photoshop, Cubase and so on.
May be you were on the edge of being outperformed, but now you're in the field.
There's a reason for the avatar, isnt there. 
