Perhaps have you ever before had acute rhinitis? Maybe did you heal from the infection? Of course you recovered! You won't cure a runny nose itself, however your body typically creates resistance to a particular cold infection within several days. We call that cured by your very own immunity!

Human papilloma virus is the same in that human papilloma virus is simply another infection. And you will most likely create immunity to HPV. However, HPV virus is more capable at evading your body's immune system compared to the cold infections. So you should try harder to develop resistance to human papilloma virus.
https://sandbox.zenodo.org/record/975033#.YaoYgGj0miM