Remote is the opposite of Reasonable. Reasonable is derived from Reason. Reason is related to Rational. Rational is similar to Intellectual. 
Fatigue is the opposite of Energy. Energy is related to Heat. Heat is related to Value. 
Remote <--Antonym--> Reasonable --DerivedFrom--> Reason <--RelatedTo--> Rational <--SimilarTo--> Intellectual 
Fatigue <--Antonym--> Energy <--RelatedTo--> Heat <--RelatedTo--> Value 