How to get refund back after I realized buyer falsely reclaimed the item as faulty

[xiaox-uk2014]

I issued a partial refund to a buyer directly in paypal as he reclaimed the item arrived faulty.

I got to know the item was falsely reclaimed as faulty during assisting the buyer to resolve the issue he met. Now the buyer refused to send refund back, so I opened a ticket to report this buyer in resolution center. Is it a correct action to involve judgement from eBay and get my money back?

[*guinevere*]

Sorry but you are on a hiding to nothing trying to get a partial refund back. Ebay won't get involved at all.

[xiaox-uk2014]

Thanks for the quick response. So shall I just accept this as lesson learnt? Any recommendation?