{
  "challenge_module": "ComparatorChallenges.Nagata",
  "solution_module": "OAI.AlgebraicGeometry.PlaneCurves.Nagata",
  "theorem_names": [
    "OAI.Nagata.Workers.W30.exists_positive_degree_equation_of_homogeneous_cycle",
    "OAI.Nagata.nagata_conjecture",
    "OAI.Nagata.nagata_conjecture_coordinates"
  ],
  "definition_names": [],
  "permitted_axioms": [
    "propext",
    "Quot.sound",
    "Classical.choice"
  ],
  "enable_nanoda": false
}