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What does your order state regarding this situation?
Then your best option would be to file for modification. Simply not paying and then being held in contempt doesn't actually tell the court that you want to stop paying support. You can ask for the modification to be retroactive to the date cohabitation began, and then she'd be ordered to pay you back.
I can't tell you to not abide by a standing court order. A Judge would likely not do much to you for not paying, especially if she's already cohabitating, but it really does depend on the Judge. It might be possible to get an interim order allowing you to stop payment. Other wise, my official information to you is that it's in your best interest to continue paying.
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