Triple

T11090200
Position Surface form Disambiguated ID Type / Status
Subject Satisfiability Modulo Theories E262229 entity
Predicate relatedTo P37 FINISHED
Object Nelson–Oppen combination method
The Nelson–Oppen combination method is a decision procedure framework that combines satisfiability solvers for different first-order theories to determine the satisfiability of formulas in their union.
E904163 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
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).
Input
Phrase: Nelson–Oppen combination method | Statement: [Satisfiability Modulo Theories, relatedTo, Nelson–Oppen combination method]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Nelson–Oppen combination method
Context triple: [Satisfiability Modulo Theories, relatedTo, Nelson–Oppen combination method]
  • A. Satisfiability Modulo Theories (SMT)
    Satisfiability Modulo Theories (SMT) is a framework in computer science and mathematical logic for deciding the satisfiability of logical formulas with respect to background theories such as arithmetic, bit-vectors, arrays, and data types, widely used in verification, synthesis, and automated reasoning.
  • B. Z3: An Efficient SMT Solver
    Z3: An Efficient SMT Solver is a high-performance satisfiability modulo theories (SMT) solver widely used in program verification, formal methods, and automated reasoning.
  • C. “A Decision Method for Elementary Algebra and Geometry”
    “A Decision Method for Elementary Algebra and Geometry” is Alfred Tarski’s influential work that presents a procedure for deciding the truth of statements in elementary algebra and geometry, laying foundations for decision theory in mathematical logic.
  • D. Davis–Putnam algorithm
    The Davis–Putnam algorithm is a pioneering procedure in automated theorem proving and propositional logic satisfiability that laid foundational groundwork for modern SAT solvers.
  • E. First-Order Logic and Automated Theorem Proving
    "First-Order Logic and Automated Theorem Proving" is a foundational textbook that systematically introduces first-order logic while presenting key methods and algorithms used in automated theorem proving.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Nelson–Oppen combination method
Triple: [Satisfiability Modulo Theories, relatedTo, Nelson–Oppen combination method]
Generated description
The Nelson–Oppen combination method is a decision procedure framework that combines satisfiability solvers for different first-order theories to determine the satisfiability of formulas in their union.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Nelson–Oppen combination method
Target entity description: The Nelson–Oppen combination method is a decision procedure framework that combines satisfiability solvers for different first-order theories to determine the satisfiability of formulas in their union.
  • A. Satisfiability Modulo Theories (SMT)
    Satisfiability Modulo Theories (SMT) is a framework in computer science and mathematical logic for deciding the satisfiability of logical formulas with respect to background theories such as arithmetic, bit-vectors, arrays, and data types, widely used in verification, synthesis, and automated reasoning.
  • B. Z3: An Efficient SMT Solver
    Z3: An Efficient SMT Solver is a high-performance satisfiability modulo theories (SMT) solver widely used in program verification, formal methods, and automated reasoning.
  • C. “A Decision Method for Elementary Algebra and Geometry”
    “A Decision Method for Elementary Algebra and Geometry” is Alfred Tarski’s influential work that presents a procedure for deciding the truth of statements in elementary algebra and geometry, laying foundations for decision theory in mathematical logic.
  • D. Davis–Putnam algorithm
    The Davis–Putnam algorithm is a pioneering procedure in automated theorem proving and propositional logic satisfiability that laid foundational groundwork for modern SAT solvers.
  • E. First-Order Logic and Automated Theorem Proving
    "First-Order Logic and Automated Theorem Proving" is a foundational textbook that systematically introduces first-order logic while presenting key methods and algorithms used in automated theorem proving.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69d6aa9a40d88190a373e2c7e48285db completed April 8, 2026, 7:20 p.m.
NER Named-entity recognition batch_69d799e96ca08190838c8a04d1eb2a16 completed April 9, 2026, 12:22 p.m.
NED1 Entity disambiguation (via context triple) batch_69e3e7c586808190a576803b7406a49e completed April 18, 2026, 8:21 p.m.
NEDg Description generation batch_69e3f2cafc008190a3504999297f1e4e completed April 18, 2026, 9:08 p.m.
NED2 Entity disambiguation (via description) batch_69e3f488819081908f9a4225279cde6b completed April 18, 2026, 9:15 p.m.
Created at: April 8, 2026, 9:27 p.m.