Sentence 1: There was a certain rumour " "

Sentence 2: No one paid any attention to rumors.
Is this second sentence entailed by the first?

Answer: no

Sentence 1: Guisado de pavo, turkey stew, is a gastronomic to do justice to this speciality of Orihuela, be sure to order it at least six hours in advance.

Sentence 2: One should order guisado de pavo six hours before one needs it.
Is this second sentence entailed by the first?

Answer: yes

Sentence 1: A short time later, similar treaties were signed with Britain and Russia.

Sentence 2: Britain and Russia did not sign any treaties.
Is this second sentence entailed by the first?

Answer:
no