Fame is a type of Proof. Fame is related to Famous. Famous is related to Flame. Flame is related to Smoke. 
Goal is related to Achievement. Achievement is related to Advance. Advance is a type of Increase. Increasing is a form of Increase. 
Proof <--IsA-- Fame <--RelatedTo--> Famous <--RelatedTo--> Flame <--RelatedTo--> Smoke 
Goal <--RelatedTo--> Achievement <--RelatedTo--> Advance --IsA--> Increase <--FormOf-- Increasing 