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: van der Waerden theorem in combinatorics | Statement: [Bartel Leendert van der Waerden, notableFor, van der Waerden theorem in combinatorics]

Target entity: van der Waerden theorem in combinatorics
Context triple: [Bartel Leendert van der Waerden, notableFor, van der Waerden theorem in combinatorics]

• A. Ramsey theory chosen
  Ramsey theory is a branch of combinatorics that studies the conditions under which order or structure must appear within sufficiently large or complex mathematical objects.
• B. Green–Tao theorem
  The Green–Tao theorem is a landmark result in number theory proving that the sequence of prime numbers contains arbitrarily long arithmetic progressions.
• C. Erdős–Ko–Rado theorem
  The Erdős–Ko–Rado theorem is a fundamental result in extremal combinatorics that determines the maximum size of a family of subsets of a finite set in which every pair of subsets has a non-empty intersection.
• D. Erdős discrepancy problem
  The Erdős discrepancy problem is a famous question in combinatorial number theory that asks whether every infinite ±1 sequence has arbitrarily large discrepancy along some homogeneous arithmetic progression.
• E. Combinatorial Nullstellensatz
  Combinatorial Nullstellensatz is a powerful algebraic tool in combinatorics that uses polynomial methods over fields to derive results about combinatorial structures, such as existence and counting theorems.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.