Clauses with costants and unification

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We have two set of clauses:

$S1 = \left \{ P(x),a \right \} $ and $S2 = \left \{ P(y),b \right \} $

I have two questions:

1)Why it's possible to represent a clause with only a constant ?( im speaking about the constants a and b) Since constants are not predicates, what is the meaning of a clause with only a constant inside ?

2)How it's possibile to unificate this 2 sets since $a\neq b$ ?