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Translate these system specifications into English where the predicate $S(x,y)$ is “$x$ is in state $y$ “ and where the domain for $x$ and $y$ consists of all system and all possible states, respectively.

1. $\exists x S(x, open)$
2. $\forall x S(x, malfunctioning ) \vee S(x, diagnostic)$
3. $\exists x S(x, open ) \vee \exists x S(x, diagnostic)$
4. $\exists x \sim S(x, available )$
5. $\forall x \sim S(x, working)$
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