Sentence 1: That is labor's real job, the very core purpose of a union.

Sentence 2: That is not the labor's real job, or the core purpose of a union.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: The internal controls that were considered adequate for external financial reporting were not always sufficient for performance management.

Sentence 2: The Internal controls were good enough for the external financial reporting.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: She enrolled in CUNY - the most diverse law school in the nation - and achieved her dream five years ago.

Sentence 2: She failed to enroll in the most diverse law school in the nation.
Is this second sentence entailed by the first?

Answer:
no