You can solve it for any specific instance of this structure. To solve the general case, you would need to teach an AI of the physical properties of and relationships between every word in the chosen language. That's much more than just language and grammar.

Wikipedia has another example (the original Winograd Schema) that doesn't allow you to "solve" the problem by asking Google:

  The city councilmen refused the demonstrators a permit because they feared violence.
  The city councilmen refused the demonstrators a permit because they advocated violence.
  To what does "they" refer in each sentence?