Anchor: A few sledders are chased by a dog.
Entailed: An animal is running.
Contradiction: A cat is sleeping inside.
Contradiction: The system does not depend on religion.
Contradiction: Guaranteeing performance can be done by the government with rewards and sanctions. 
Contradiction: Two girls are sad.
Contradiction: Opening hours tend to be restricted during the winter months, and some museums are closed on Monday.