First order logic Prolog anonymous variables

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The Prolog rule below:

grandparent(X,Z) :- parent(X,Y) , parent(Y,Z)

In first order logic is going to be:

∀x ∀y ∀z ((P (x, y) ∧ P (y, z)) → G(x, z))

In theory if we have an anonymous variable in our Prolog rule something like:

grandparent(X,Z) :- parent(X,Y, _ ) , parent(Y,Z, _ )

Lets say it is a surname, how can we present it in first order logic?

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