I bought a used iPhone 5S (order 51213). The site ...

I bought a used iPhone 5S (order 51213). The site specifically states that Touch ID, along with a bunch of other features, work because they've done a lot of checks on the phones. However, the Touch ID does not work.

When I reported this and sent them screenshots as proof, they gave me instructions on how to repair it - these didn't work. Then they asked me to send it back for repair (which could take up to a week). Because I do not want to be without a phone for a week, I asked them to give me a partial refund instead. They refused and offered to rent out a phone to me (expensive and has a massive deposit required).

I am really not happy with this result - paid for a fully functioning phone, but did not receive one. I want to come to an easy resolution - partial refund - but they are refusing.