Among the statements
$(\mathrm{S} 1):(\mathrm{p} \Rightarrow \mathrm{q}) \vee((\sim \mathrm{p}) \wedge \mathrm{q})$ is a tautology
$(S 2):(q \Rightarrow p) \Rightarrow((\sim p) \wedge q)$ is a contradiction
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