Whatever is dumping to the screen should be teed to a file. You may have to redirect STDERR to do so (which is shell-dependent, I always look at Unix Power Tools: Common Standard I/O Redirections).

This may involve changing the command line call. Or CallTrace may allow you to log directly to a file. (I know nothing about CallTrace. It's a generic-enough term that it's hard for me to decide which software you are referring to.)

Another choice is to use script to log the entire session. This starts a new shell, where you can then run your commands.