The computer in the basement requires a number that's your ID to enter to continue through the story.
Your ID
There is small computers around the main computer, what you need to do is to find the one with your name (the name you enter in the beginning of the game) and enter it's number in the main computer.
In the picture above since my name is Noob, the correct number for the ID is 5515.
For anyone who didn't find it like me, there is a small one in the right on the ground.