Consider the following statements:

Statement 1: The two-phase locking protocol ensures conflict serializability and ensures freedom from deadlock.

Statement 2: With rigorous two-phase locking, transactions cannot be serialized in the order in which they commit.

Statement 3: Strict two-phase locking requires not only that locking is two-phase, but also that all exclusive-mode locks taken by a transaction be held until that transaction commits.

Which of the given statements is/are false?