The problem is as follows:

"If Maria does not leave her house then she does not catch a cold, but Maria leaves her house" is equivalent to:

I. Maria does not leave her house.

II. It is not true that, Maria leaves her house and catches a cold.

III. Maria leaves her house.

Given these statements which of the alternatives match the right answer?

The alternatives given in my book are as follows:

$\begin{array}{ll}
1.&\textrm{Only III}\\
2.&\textrm{I and II}\\
3.&\textrm{Only II}\\
4.&\textrm{II and III}\\
\end{array}$

In my attempt to solve this problem I translated the statement in these terms of propositional logic.

If Maria does not leave her house then she does not catch a cold, but Maria leaves her house

Then

$\textrm{Maria leaves her house = p}$

$\textrm{Maria catches a cold = q}$

Then:

$(\lnot p \rightarrow \lnot q) \land p$

But how to simplify this expression?. Can someone help me?. Is this the right or the appropiate way to translate what it was mentioned?.