Who told you you had got the trojan from the zip you didn't open?
Computers, thankfully, will never be able to think for themselves. They will NEVER ever run a program unless you have already asked it to. A trojan horse only works when the user executes it, otherwise it can sit there forever and not harm a thing.
To get around this hackers design viruses that try and run when people open emails, etc, this is why Internet Explorer tells you about ActiveX controls and the like.
But if you didn't touch the zip file, your trojan either didn't come from there or it hasn't infected your computer yet.