Pie is the opposite of Cake. Cake is related to Treat. Treat is related to Candy. 
Heat is related to Survival. Thinking can be used for Survival. one thing you do when you Thinking is Headache. 
Pie <--Antonym--> Cake <--RelatedTo--> Treat <--RelatedTo--> Candy 
Heat <--RelatedTo--> Survival <--UsedFor-- Thinking --HasSubevent--> Headache 