In a training simulation, participating managers need to complete a number of tasks $($V$,$ W$,$ X$,$ Y$,$ Z$).$ We know the following:

$$ Z was completed before X$.$

$$ Y was completed before X$.$

$$ V was completed before X and Y$.$

$$ W was completed before V but after Z$.$

Based on the above information, which of the following is NOT necessarily true?

X was completed last.

Z was completed first.

W was completed before X$.$

V was completed after Z$.$

W was completed after Y$.$