Which of the following is not a statement

If $q$ is false and $p\, \wedge \,q\, \leftrightarrow \,r$ is true, then which one of the following statements is a tautology?

The statement $A \rightarrow( B \rightarrow A )$ is equivalent to

The statement $\sim(p\leftrightarrow \sim q)$ is :

The compound statement $(\mathrm{P} \vee \mathrm{Q}) \wedge(\sim \mathrm{P}) \Rightarrow \mathrm{Q}$ is equivalent to:

The statement $( p \wedge(\sim q )) \Rightarrow( p \Rightarrow(\sim q ))$ is