The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to
$s \wedge \sim r$
$s \wedge \left( {r \wedge \sim s} \right)$
$s \vee \left( {r \vee \sim s} \right)$
$s \wedge r$
The contrapositive of the statement "I go to school if it does not rain" is
If $p$ and $q$ are simple propositions, then $p \Leftrightarrow \sim \,q$ is true when
$(p\rightarrow q) \leftrightarrow (q \vee ~ p)$ is
Among the statements
$(S1)$: $(p \Rightarrow q) \vee((\sim p) \wedge q)$ is a tautology
$(S2)$: $(q \Rightarrow p) \Rightarrow((\sim p) \wedge q)$ is a contradiction
The contrapositive of the statement "if I am not feeling well, then I will go to the doctor" is