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What is the practical response to a family of formulas a solver cannot handle?

  • A.Encode the problem differently or use a stronger proof system
  • B.Increase the time limit until the solver eventually succeeds
  • C.Accept that the problem cannot be solved by any means
  • D.Reduce the size of the instance until it becomes tractable

Answer: A

Adding a symmetry breaking constraint, or using a system such as cutting planes that has short proofs where resolution does not, changes the problem the solver faces. Waiting is hopeless against an exponential, other methods may succeed, and shrinking the instance avoids the question. Changing the formulation when the method is provably inadequate, rather than persisting with it, is the same lesson that reformulation teaches in ordinary search.

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