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Let W(x,y) mean that student x has visited website y, where the domain for x consists of all students in your school and domain for y consists of all websites. Express below statement in the english sentence.

∃x∃y∀z ( (x$\neq$y) ^ (W(x,z) $\Leftrightarrow$ W(y,z) ) )

To me it looks like there exist at least 2 persons(2 different persons) who have visited exactly the same set of websites.

But Answer in Rosen says "There are two persons who have visited exactly the same set of websites." And this means exactly two.

Which one is correct interpretation?
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