I am renting a house from a person who is not paying the bank.

Answer

You have to pay rent to the owner of the house regardless of his arrangement with the bank and regardless of the owner not paying the bank. As far as you are concerned, you are living in the house and have to pay rent for your occupation. In the end, you will only be asked to leave the house should the bank repossess it. You will not be losing any money which you have paid. You are paying on a monthly basis for your stay in the house. You may therefore not withhold the rent from the owner. The problem between the owner and the bank is not your concern.