Indexing is a special case of AI. At the limit, optimal cutting and learning are equivalent problems. Non-trivial spatial representations push these two things much closer together than is normally desirable for e.g. indexing algorithms. Tractability becomes a real issue.
Practically, scalable indexing of complex spatial relationships requires what is essentially a type of learned indexing, albeit not neural network based.
How does the cutting problem relate to intelligence in the first place?