Anchor: Tommy waved a menu cheerfully, and succeeded in attracting the other's attention.
Entailed: Tommy cheerfully wave a menu and was able to get the other's attention.
Contradiction: Nobody came when Tommy waved the menu.
Contradiction: There's only the one main faction in control over there.
Contradiction: What was the source of Kaufman's anger?
Contradiction: The cat looks out the window.
Contradiction: Baseball players are practicing.