My husband cheated and a year on I still cannot forgive him

My (40f) husband (45m) and I have been together for 20 years, married for 10. We have two young children and a little over a year ago, he confessed to having an affair. The affair began as an emotional one, which he says was mostly one sided, and then developed into a physical affair and lasted a year.
When he confessed to me, he told me he wanted to leave, said he was unhappy and felt in the long term it was better for everyone to move forward with their lives. I ended up pleading for him to pick me and eventually he did. I told him I forgave him and reassured him that we would be okay with marriage counselling. We stuck with marriage counselling for 6 months, even 6 months in he was still talking about the feelings he had for this other woman.
I guess in time, I processed what happened. My husband and I were each others first and now he has had sex with another woman, because she (25f) was a family friend she would visit often, they had sex in the house numerous times sometimes while I was in the house at the same time.
And the part that is really upsetting is that when he was having the physical affair, I noticed he was more withdrawn and tried to initiate intimacy and he rejected me every single time. He was strong enough to say no to me each time but he could not turn her down. I once was fully naked, tried to get him to have sex and he still turned me down. With all of that, I have realised I can't forgive him and I don't think I ever will. Does that ultimately mean our relationship is dead? What happens to the relationship if I can never forgive him?
Tl;dr My husband cheated and i can't forgive him


Source.

Divorce him and start a new life for yourself