Correct Answer.
To "decompile" the formula
x (
y F(x, y)

y
z (M(x, y)
M(y, z))), let us break it down into its significant subformulas:
- The subformula
y F(x, y) means
that 'x is a father'.
- The subformula
y
z (M(x, y)
M(y, z)) means that
'x is a maternal grandmother'; for it says that x is a mother of some y who in
turn is a mother of some z.
- The entire formula therefore says 'For all x, if x is a father,
then x is not a maternal grandmother'.
- We can express this sentence more elegantly as 'Anyone who is a father is not a maternal grandmother'.
Evidently, this is the sentence we sought to express.
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