The negation of $p \wedge (q \rightarrow \sim r)$ is

$(S1) (p \Rightarrow q) \vee (p \wedge (\sim q))$ is a tautology. $(S2) ((\sim p) \Rightarrow (\sim q)) \wedge ((\sim p) \vee q)$ is a contradiction. Then

Determine which of the following is not a statement.

If the statement $p \leftrightarrow (q \rightarrow p)$ is false,then the true statement/statement pattern is

The statement pattern $[p$ $\rightarrow(q$ $\rightarrow p)]$ $\rightarrow[p$ $\rightarrow(p \vee q)]$ is

The contrapositive of the inverse of $p$ $\rightarrow (p$ $\rightarrow q)$ is