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: Kelvin–Planck statement of the second law of thermodynamics under suitable assumptions | Statement: [Clausius statement of the second law of thermodynamics, equivalentTo, Kelvin–Planck statement of the second law of thermodynamics under suitable assumptions]

Target entity: Kelvin–Planck statement of the second law of thermodynamics under suitable assumptions
Context triple: [Clausius statement of the second law of thermodynamics, equivalentTo, Kelvin–Planck statement of the second law of thermodynamics under suitable assumptions]

• A. Clausius statement of the second law of thermodynamics
  The Clausius statement of the second law of thermodynamics asserts that heat cannot spontaneously flow from a colder body to a hotter body without external work being performed.
• B. Kelvin–Planck statement of the second law of thermodynamics chosen
  The Kelvin–Planck statement of the second law of thermodynamics asserts that it is impossible to construct a cyclic heat engine that converts all absorbed heat from a single reservoir entirely into work without any other effect.
• C. Carathéodory’s formulation of the second law of thermodynamics
  Carathéodory’s formulation of the second law of thermodynamics is a mathematically rigorous restatement of the second law based on the inaccessibility of certain thermodynamic states, providing a foundation for the concept of entropy without relying on cyclic processes or heat engines.
• D. Clausius theorem
  The Clausius theorem is a fundamental result in thermodynamics that formalizes the second law by relating the cyclic integral of heat transfer over temperature to entropy, showing that this quantity is always less than or equal to zero for any cyclic process.
• E. Rational Thermodynamics
  Rational Thermodynamics is a rigorous, axiomatic reformulation of continuum thermodynamics developed by Clifford Truesdell and collaborators, emphasizing logical consistency and mathematical clarity in the foundations of thermal and mechanical processes.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.