Anchor: Having conquered the islands, they named them Balearis Major (Mallorca) and Balearis Minor (Menorca).
Entailed: Balearis Major and Balearis Minor are islands.
Contradiction: After conquering the islands, they were left unnamed for many years.
Contradiction: The man is preparing his bike for a ride.
Contradiction: A group of friends having beers.
Contradiction: She looked at the oilskin packet in his hand, but she didn't touch it. 
Contradiction: Critics enjoy watching Mike Judge's King of the Hill.