Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Clay Millennium Prize Problem | Statement: [Yang–Mills theory, associatedPrize, Clay Millennium Prize Problem]

Target entity: Clay Millennium Prize Problem
Context triple: [Yang–Mills theory, associatedPrize, Clay Millennium Prize Problem]

• A. Millennium Prize Problem chosen
  The Millennium Prize Problem is one of seven famous unsolved mathematical problems designated by the Clay Mathematics Institute, each carrying a $1 million reward for a correct solution.
• B. P versus NP problem
  The P versus NP problem is a central unsolved question in theoretical computer science that asks whether every problem whose solution can be quickly verified by a computer can also be quickly solved by a computer.
• C. Fermat's Last Theorem
  Fermat's Last Theorem is a famous statement in number theory asserting that there are no whole-number solutions to the equation xⁿ + yⁿ = zⁿ for integers n greater than 2, a problem that remained unsolved for over three centuries until it was proved by Andrew Wiles in the 1990s.
• D. Poincaré conjecture
  The Poincaré conjecture is a landmark problem in topology that characterizes the three-dimensional sphere among three-dimensional manifolds and was famously solved by Grigori Perelman in the early 2000s.
• E. Navier–Stokes existence and smoothness problem
  The Navier–Stokes existence and smoothness problem is a fundamental unsolved question in mathematical fluid dynamics that asks whether three-dimensional fluid flow equations always have smooth, globally defined solutions.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.