You should be able to go into the file(s) of the logger, and print it out. You could also copy it to say a jump drive and that would be proof.
You sure it's spyware? I found one on mine that was uploaded, at the computer. Didn't take long to figuer it out as my garbage was stolen for 3 month, and the guy who made the program was stupid enought to have a fraze "we used this in high school". Then did a search to see who was on the drug pay roll, or cop, that graduated from that school.