Peradventure have you hitherto suffered through a common cold? Conceivably did you get rid of the issue? Of course you recovered! You can not cure a common cold itself, but your body generally establishes immunity to any type of cold infection within a couple of days. That is called treated by your own immune system!

HPV is the same because HPV virus is just another infection. And you could normally establish immunity to human papilloma virus. However, HPV is more adept at evading your body's immune system compared to the cold infections. Moreover you should try a little harder to get immunity to human papilloma virus.
http://jasperwcrv547.cavandoragh.org/how-i-cured-my-hpv