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

Among the statements:
$(S1) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow ( p$ $\Rightarrow r )$
$(S2) \quad (( p \vee q )$ $\Rightarrow r ) \Leftrightarrow (( p$ $\Rightarrow r ) \vee ( q$ $\Rightarrow r ))$

Find the function $f(x_{1}, x_{2}, x_{3})$ that satisfies $f(x_{1}, x_{2}, x_{3}) = 1$ at $x_{1} = 1, x_{2} = 0, x_{3} = 0$.

State the converse and contrapositive of the following statement:
$r:$ If it is hot outside,then you feel thirsty.

Which of the following statements is true?

Among the two statements:
$(S1): (p \Rightarrow q) \wedge (q \wedge (\sim q))$ is a contradiction and
$(S2): (p \wedge q) \vee ((\sim p) \wedge q) \vee (p \wedge (\sim q)) \vee ((\sim p) \wedge (\sim q))$ is a tautology.