Bottom Right of screenshot tells me exactly where one of my opponents is moving. I included the screenshot and the save game file.
Link: http://dl.dropbox.com/u/9396252/Gameplay_Bugs/Moving_Secrets_Revealed.rar
Also check out the negative research from the same saved game:
Link: http://dl.dropbox.com/u/9396252/Gameplay_Bugs/Negative_Research.rar
