Actually, they're wrong at the "saying something false" part. Lying is saying something you know to be false.
For instance, someone might ask "Where's Mrs BoC?" and knowing that Mrs. BoC said she was going to the food store, I would say "She's at the food store." However, Mrs. BoC might have decided not to go the food store, and to go to the library instead.
So although I was stating something false (Mrs BoC went to the food store, when she's actually at the library) I would not be lying.
I'd be wrong, but not lying.