This is beginning to really stress me out

Of course it is: look at the structures you have built up around getting out of bed. It's in your language as well: you call it waking up on command.

You don't seem to get that getting out of bed is a simple binary decision. Either you do or you don't. Why do you tolerate nonsense like and went back to sleep? Your alarm goes, you step out of bed, then switch it off. Period. It's not that the alarm does not wake you.
Then you go on to the next phase, like dressing, or eating.

Now, of course we can start giving you all kinds of 'advice' in the form of tricks, but that won't contribute anything. You are already doing enough tricks, any other won't help you. You are the one who decides that it is not important to get out, despite all your talk here describing how important it is. It is not to you, you are lying by saying so.

Kick the alarms out, keep one. No snooze, no elaborate structures. Stop thinking and talking about it, and do what you are supposed to do. Or drop school, fine, it's your decision. You can do that, you know. But stop the whining.

Life is too short,” she panicked, “I want more.” He nodded slowly, “Wake up earlier.” ~Dr. SunWolf

I've had the same problem throughout my life, but started scheduling appointments early in the morning so I knew I'd have to get out of bed. The point is YOU ALLOWED YOURSELF TO TREAT CLASSES AS AN OPTION! You had a low standard from the beginning and kept it, convincing yourself that that's the way it is. I'm really surprised that you spent 10 minutes solving a math problem and went back to bed. Why in the world did you go back to sleep knowing that if you hadn't got up then and there, you wouldn't have made it to the lecture on time? It was a 100% CONSCIOUS DECISION.

You can't even say you overslept because didnt hear the alarm clock, or you were too sleepy. You actually made a consious decision of not going.

An average adult needs AT LEAST 6 hours of sleep in order to close all the sleep cycles and not be light-headed. Going to bed (+ falling asleep!) at 2 gives you not even 5 hours of sleep. It's sometimes difficult to get out of bed with big motivation after 4,5 hours of sleep, not to mention a strong habit of not getting up and a boring lecture.

Really want to fix the thing? Do what it takes.

• going to bed at midnight (you need some time to fall asleep)
• using max 2 alarms clocks
• possibly, having everything prepared for the morning (clothes, shoes, even a sandwich if necessary)

• asking somebody from the classes for a bet - if you don't show up, you pasy (a lot!);

• NOT giving yourself an option of not getting up. You get up, period.

Sleeping in from time to time isn't a bad thing. But don't tell anyone that it's stronger than you and it's just the way you are. If you're inconsistent enough with your priorities and values, at least have the guts to admit it. Or do something about it :)

If you can't stop yourself from making decisions int he morning to shut of alarms then that suggest that your body strongly needs more sleep than it's currently getting. If you can't get those hours of sleep at night, start taking naps during the day.