Triple
T4492876
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | completeness theorem for first-order logic |
E100620
|
entity |
| Predicate | equivalentlyStates |
P6530
|
FINISHED |
| Object | if a formula is not provable then there exists a model in which the formula is false |
—
|
LITERAL FINISHED |
How this triple was built (2 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: if a formula is not provable then there exists a model in which the formula is false | Statement: [completeness theorem for first-order logic, equivalentlyStates, if a formula is not provable then there exists a model in which the formula is false]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: equivalentlyStates Context triple: [completeness theorem for first-order logic, equivalentlyStates, if a formula is not provable then there exists a model in which the formula is false]
-
A.
equivalentTo
chosen
Indicates that two entities represent the same concept, value, or state, and can be treated as interchangeable in the given context.
-
B.
convertedStatesInto
Indicates that one entity transformed or changed the status or condition of another entity into a different specified state.
-
C.
associatedState
Indicates that one entity is linked or connected to a particular state, condition, or status of another entity.
-
D.
cooperatingState
Indicates that one state collaborates or works jointly with another state toward shared goals or activities.
-
E.
hasEquivalent
Indicates that two entities are considered equal in value, meaning, or function within a given context.
- F. None of above.
Provenance (3 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_69bd43cdf15081909a4fa2585ff63b3e |
completed | March 20, 2026, 12:55 p.m. |
| NER | Named-entity recognition | batch_69bd5570ba0881908f5fb4f8d0730e64 |
completed | March 20, 2026, 2:10 p.m. |
| PD | Predicate disambiguation | batch_69bd5213e3d0819094b026989e686f01 |
completed | March 20, 2026, 1:56 p.m. |
Created at: March 20, 2026, 12:59 p.m.