Run is a type of Become. Run is a type of Score. Score is a synonym of Grade. Grade is a synonym of Rate. 
you are likely to find Entrance in/at/on Cave. Invasion is a type of Entrance. 
Become <--IsA-- Run --IsA--> Score <--Synonym--> Grade <--Synonym--> Rate 
Cave <--AtLocation-- Entrance <--IsA-- Invasion 