Well, I know that this is tough, but you need to do what is necessary to gain and maintain your parents trust in you.
If you are a student, you have no business staying up till 2AM on a regular basis. (unless school doesn't start until noon)
If your parents do not trust you to use the computer responsibly, how can you expect them to trust you for more important issues. (like dating and parties)
If they feel the need to check up on your PC habits, what is likely to happen if they find out you have found a way to bypass what they are doing to check up on you?
There are so many files that you would need to clean out to eliminate the evidence of when any program was last ran, that the task is nearly overwhelming anyway.
The onlypractical way to make it look like you were not up late, is to change the clock setting.
Of course, there will be a tag for when you reset the clock, and should you EVER forget to change the clock back, the jig would be up.
As I started out this answer, the "best" way to deal with this, is to respect your parents rules, and be patient.
Once you prove to them that they can trust you, it will be a LOT easier to get your privileges extended.
Been there on both sides.
Chas