I have the language and I want to prove that is not context-free.
So I started like this:
Choose w =
vxy has no c. Choose i = 2
has more a than c or more b than c.
vxy has no a.
At case 2 I don't know how to continue, I'm confused since I seem to be not able to prove that there is a case where vxy has no a and the word's b-count or c-count is smaller than the amount of a's.