What are you pulling or pushing on it with? Do you have some for the lugs that you can grip it with? I tried the same thing last summer to make a carbon boom around a steel tube. Ultimately I was unsuccessful in separating them. It seemed like the carbon really needed a sacrificial place to yank on it from with a winch or come along.
Ideally, you need to push it off - it will act a bit like chinese fingercuffs if you try to pull it.