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