Anchor: In the preamble to the proposed rule, it was noted that the rule would help the significant majority of families that seek to discourage their children from using cigarettes and smokeless tobacco.
Entailed: The rule will help families discourage their children from smoking cigarettes and using smokeless tobacco.
Contradiction: Families are encouraging their children to use cigarettes and smokeless tobacco through a proposed rule. 
Contradiction: A rock group is performing on stage.
Contradiction: I thought that it was crazy.  
Contradiction: A boy eating cereal.
Contradiction: A kid is on their bike.