Peradventure have you previously been down with a common cold? By any chance did you do away with it? Certainly you did! You can't cure an acute rhinitis itself, yet your body usually develops resistance to any cold virus within several days. That is called healed by your personal immunity!

HPV virus is similar since human papilloma virus is simply one more viral infection. Therefore you could simply create resistance to HPV virus. However, HPV is more capable at hiding from your immune system than are the common cold viruses. Therefore you must work harder to develop immunity to HPV virus.
https://sandbox.zenodo.org/record/1023871#.Yh2Admj0miM