Anchor: A leashed dog is in the backyard of someone's home.
Entailed: A leashed dog is outside.
Contradiction: A dog is roaming free in the backyard.
Contradiction: I have thoughts on how to fix it, they'd better take my suggestions. 
Contradiction: Emissions for carbon were over 15 percent above recommended levels in 2015.
Contradiction: The man is at the zoo.
Contradiction: The odds are not in favor of it being there.