Among the two statements

$(S1):$ $( p \Rightarrow q ) \wedge( q \wedge(\sim q ))$ is a contradiction and

$( S 2):( p \wedge q ) \vee((\sim p ) \wedge q ) \vee$

$( p \wedge(\sim q )) \vee((\sim p ) \wedge(\sim q ))$ is a tautology

The contrapositive of the statement "I go to school if it does not rain" is

The negation of $ \sim s \vee \left( { \sim r \wedge s} \right)$ is equivalent to :

The contrapositive of $(p \vee q) \Rightarrow r$ is

$\sim (p \vee q)$ is equal to

Statement $-1$ : The statement $A \to (B \to A)$ is equivalent to $A \to \left( {A \vee B} \right)$.

Statement $-2$ : The statement $ \sim \left[ {\left( {A \wedge B} \right) \to \left( { \sim A \vee B} \right)} \right]$ is a Tautology