The short answer is that there are lots of caveats but the service provider will recover the bill from you. If you refuse to pay and they sue you then they wil

The short answer is that there are lots of caveats but the service provider will recover the bill from you. If you refuse to pay and they sue you then they will win and a court will force you to pay, even if it means a sheriff comes to your house and takes your things to sell at a public auction to come up with the money. You will have to recover from the thief if you want to be made whole. It's possible that if you know who the thief is and can serve them, you can join them to the suit the provider brings against you. Then the court will adjudicate the whole thing together and the thief will directly pay the provider. But that still starts with suing you and action on your part to find and sue the thief.