I want to know how to solve this type of problem. Please give me some solution ideas. thank you

Suppose we have the CNF and a SAT solver returns $1\frac{,}{b}ar(2)\frac{,}{b}ar(4)$ as a satisfying assignment. What will a EUF theory solver do in response?

$($a$)$ Answer "consistent"

$($b$)$ Answer "inconsistent"

$($c$)$ Send the new CNF $\{1\frac{,}{b}ar(2)vv3\frac{,}{b}ar(4)\frac{,}{b}ar(1)vv2vv4\}$ to the SAT solver

$($d$)$ Send the new CNF $\{1\frac{,}{b}ar(2)vv3\frac{,}{b}ar(4)\frac{,}{b}ar(1)vv2vv4\frac{,}{b}ar(1)v\frac{v}{b}ar(2)v\frac{v}{b}ar(3)vv4\}$ to SAT solver

$($e$)$ None of the above