Literary historian: William Shakespeare, a humble actor, could have written the love poetry attributed to him.
Statements
Shakespeare could have written the love poetry attributed to him.
Meanwhile, the dramas attributed to him are so insightful about the minds of powerful rules that they could only be written by someone who'd hung out with rulers.
Shakespeare didn't. Bacon did.
Evaluate
Since this is Must Be True, the biggest thing on our radar is conditional logic, which here shows up with the word only (a necessary indicator = put the following idea on the Right).
Wrote these insightful spent lots of time dramas about minds → with rulers of rulers
Do we have another Conditional to chain this to? No.
Do we have a fact that triggers this rule or triggers its contrapositive? Yes.
The contrapositive says, didn't spend time → couldn't have written these around rulers insightful dramas
We know that Shakespeare didn't associate with rulers, so we can output the inference that Shakespeare couldn't have written the dramas attributed to him.
They are definitely trying to bait us into concluding that Francis Bacon did write those dramas, but that would be reading backwards.
Francis Bacon may have written the dramas, since he had the required firsthand exposure to rulers, but so could any number of other people who, like Bacon, associated with rulers.
Goal
Pick anything provable, but it's most likely that they're trying to reward us for applying the fact about Shakespeare to trigger the contrapositive of the rule they provided.
So we should anticipate "Shakespeare didn't write the dramas attributed to him".