R2C's comments are great if you want to continue having sex.
You can use those words even if you have no intention on having sex with him in the foreseeable future.
I do like the "I will not live in an open relationship" approach, but the rest of it is just leading him on, implying if he does X and then Y and then Z that he'll be rewarded with sex which is disingenuous if she has no interest in continuing to have sex with him. That's what I meant. The LBS should take the moral high road, no lying or leading him on even though it may feel justified in the face of his behavior.