Anchor: They mind their business and will not make any trouble as long as they are left in peace.
Entailed: As long as nobody bothers them, they won't start trouble.
Contradiction: We shouldn't go there. They will start shooting at us, even if we leave them in peace.
Contradiction: The people are home in bed.
Contradiction: He heard his cell phone ring.
Contradiction: The country has always welcomed foreigners. 
Contradiction: Mail that is attractive to competitors should be viewed as elastic.