Anchor: Free from the confines of the International Festival's rules and regulations, the Fringe has become synonymous with art that  pushes the envelope,  and it has grown to eclipse its more staid official brother.
Entailed: Because it operates outside of the strict rules and regulations of its brother, the Fringe has become more popular.
Contradiction: The Fringe has remained stale and unpopular because of its strict compliance with the rules.
Contradiction: I was not tempted to make the deal.
Contradiction: A child is painting.
Contradiction: Even if the other activities fail to be completed in a timely manner, we will still participate in the other activities.
Contradiction: P is a variable representing the amount spent on goods by a household.