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Reconstruct the Following as a Standard-Form Syllogism,and Determine Whether It

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Reconstruct the following as a standard-form syllogism,and determine whether it is valid.
Being a mathematical prodigy is not enough to guarantee success at solving problems like Fermat's Last Theorem,because several mathematical prodigies tried their hands at that very problem,and nobody could solve it until just a few years ago.
F.
No F are S.
Therefore,some P are not S.
Valid.

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