A logic exercise by Lewis Carroll: What conclusion can be drawn from these premises?

1. All the human race, except my footmen, have a certain amount of common sense.
2. No one who lives on barley sugar can be anything but a mere baby.
3. None but a hopscotch player knows what real happiness is.
4. No mere baby has a grain of common sense.
5. No engine driver ever plays hopscotch.
6. No footman of mine is ignorant of what true happiness is.