I realize there is a mathematical definition of "clear its orbit" which produces the desired conclusion. However, I happened to be reading about Lagrange point

I realize there is a mathematical definition of "clear its orbit" which produces the desired conclusion. However, I happened to be reading about Lagrange points and how objects cluster in the L4 and L5 points and I said to myself "...waaaaait a second, all those planets with Trojan asteroids haven't cleared their orbits in the plain English meaning of the phrase!" Including Earth, Mars, Jupiter... You can't prove a definition wrong, but you can make fun of it.