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: Conway’s soldiers on different lattices | Statement: [Conway’s soldiers, variant, Conway’s soldiers on different lattices]

Target entity: Conway’s soldiers on different lattices
Context triple: [Conway’s soldiers, variant, Conway’s soldiers on different lattices]

• A. Conway’s soldiers chosen
  Conway’s soldiers is a mathematical puzzle and thought experiment in combinatorial game theory that explores how far checkers-like pieces can advance on an infinite grid under specific movement rules.
• B. Conway’s Game of Sprouts
  Conway’s Game of Sprouts is a pencil-and-paper topological game in which players alternately connect dots with lines under simple rules, leading to rich combinatorial and mathematical analysis.
• C. Conway's 99-graph problem
  Conway's 99-graph problem is an unsolved combinatorial question in graph theory, posed by John H. Conway, concerning the existence and properties of a hypothetical 99-vertex graph with highly constrained adjacency conditions.
• D. Steinhaus chessboard theorem
  The Steinhaus chessboard theorem is a combinatorial result in geometry and topology that gives conditions under which certain colored paths must exist on a checkerboard-like grid.
• E. Conway's thrackle conjecture
  Conway's thrackle conjecture is an unsolved problem in combinatorial geometry asserting that in any drawing of a graph where every pair of edges meets exactly once, the number of edges cannot exceed the number of vertices.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.