Dr. Strangelove or: How I Learned to Stop Worrying and Love the Bomb (1963)
Group Captain Lionel Mandrake uses the IBM on the base and finds the last remaining radio in its 1403 printer from which discovers the Brigadier General's duplicity.
It probably should have been a SAGE system for authenticity, but that would not have been available at the time as the system was in active use then.