b$)$ Draw the conclusion from the following premises using a formal proof $($Rules of

inference$).$

If the school is beside the road or there is a palm tree beside the school, then the

school is a secondary school.

The school is beside the road.

The roof is red in colour.

If the school is a secondary school and the roof is red in colour, then there is a

gold buried under the school.

Hint: Use the following expressions to define your statements:

P: The school is beside the road

Q: There is a palm tree beside the school

$R$ : The school is a secondary school

$S$ : The roof is red in colour.

U: The gold buried under the school

$[4$ marks$]$help