How to unlock iphone on contract?

Ok so, my cousin gave me an Iphone which is apparanetly on contract with an operator called "Sunrise" (He is from Switzerland).In Sunrise, they have told me, that I can't do anything with it, just wait for two years from buing it (dunno when was it, so that is not an option).
I want to ask you how can I unlock it somewhere on the internet. It doesn't have to be for free, I'm willing to give something about 30-40 bucks for it. I tried unlockeveryiphone.com and it didn't work.
On my Iphone, i have just my IMEI code and my ICCID code, nothing more, and I can just slide it for emergency.
If somebody can help me, I would be so gratefull. Or give me every option I have which are cheaper than buying Iphone in my country, Slovakia (we have Iphones for 700-800 euros).

Pop in a prepaid sim card and it should unlock it.

Please go to the link. This link is suitable for unlock iphone.
http://unlockanyattiphone.com/

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