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Show that the argument is valid, indicating the rule of inference or logical equivalence applicable to...

Show that the argument is valid, indicating the rule of inference or logical equivalence applicable to each step.


∃x ( C(x) ∧ ( ¬ S(x) → ( V(x) ∨ W(x) ) ) )
∀x ( V(x) → ¬ C(x) )
¬ ∃x ( W(x) ∧ C(x) )
∴ ∃x ( S(x) ∧ ¬ W(x) )
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