CART and C-Print are both speech to text systems used by deaf and hard of hearing people needing access to spoken language in certain situations, unless one decides to use a sign language interpreter.
They are both different. With CART, everything spoken is turned into text verbatim; word for word. C-Print interprets the content of what is said.
Here is a link to a site which clearly explains how they are both different using comparison charts and examples:
So, for me, because English is my native language which I am most comfortable with, I would use CART. C-Print is more appropriate for those more interested in the content of what is being spoken.