"So, is the machine theirs or mine?"
It is YOUR machine that THEY have the contractural right to take back from you and make THEIR machine, as long as they pay you the fair market used equipment value.
It is YOUR machine that THEY can take, per the contract that you will sign in order to buy the machine in the first place.
How many times do we have to beat this into you, slow learner that you are?
Visit the business directory
Visit the legal directory
Visit the supplier directory