Problem $2$: In the following code fragment, determine whether or not P$5$ is a dead code

$($is never executed$).$ If it is a dead code, prove it is a dead code. If it is not a dead code

explain why it is not a dead code.

If $($C$1$ and C$3)$ then $[5$ marks$]$

P$1$

else

if $($C$1$ and not C$2)$ then

P$2$

else

if $($not C$1$ and C$3)$ then

P$3$

else

if $($not C$1$ and not C$3)$ then

P$4$

else

P$5$