Q$-2-4$ Entailment $(10$ pts$)$

Consider the propositions:

A: It is raining outside.

B: You carry an umbrella.

C: You did not caught in the rain.

Suppose the knowledge base $($KB$)$ comprises the following statements: A $$ B$,$ B $$ C$,$ C $$A$.$

Question: Given that the knowledge base $($KB$)$ is true, KB $$A$?$ In other words, does our KB entail 'Not A$\text{'}$ and Why