Anchor: On one of the seven hills of ancient Rome, the fortress-like Palazzo del Quirinale, once summer residence to popes fleeing the malarial swamps of the Vatican down by the Tiber, housed the new king of Italy after 1870, and since 1947 is the presidential palace.
Entailed: Ancient Rome has seven hills.
Contradiction: Ancient Rome has three hills.
Contradiction: the baseball team is practicing
Contradiction: Similar to biased advertising or whatnot. 
Contradiction: It will not be very interesting at all
Contradiction: It's not exactly what I had in mind.