Anchor: Archaeological excavations have revealed evidence of habitation here as long ago as 900 b.c.
Entailed: Archaeologists have shown proof of residency here as far back as 900 b.c.
Contradiction: Despite their best efforts, the archaeologists were unable to find proof of habitation here.
Contradiction: I don't have a degree.
Contradiction: Crawfish is becoming more popular beyond just the south. 
Contradiction: In a fit of anger he threw himself off a bridge.
Contradiction: Cats don't travel too well