Anchor: However, the much more serious budget problem involves what happens after 2002.
Entailed: The budget gets more serious after 2002.
Contradiction: The budget is more serious before 2002 than after. 
Contradiction: That fellow at the back table is sound asleep.
Contradiction: Comprehensive understanding is a key element of the definition.
Contradiction: Office Behemoth has no leverage to command concessions.
Contradiction: Are you certain about the payout?