--- license: apache-2.0 configs: - config_name: carleson data_files: - split: valid path: "minictx-valid/carleson.jsonl" - split: test path: "minictx-test/carleson.jsonl" - config_name: ConNF data_files: - split: valid path: "minictx-valid/ConNF.jsonl" - split: test path: "minictx-test/ConNF.jsonl" - config_name: FLT data_files: - split: valid path: "minictx-valid/FLT.jsonl" - split: test path: "minictx-test/FLT.jsonl" - config_name: foundation data_files: - split: valid path: "minictx-valid/foundation.jsonl" - split: test path: "minictx-test/foundation.jsonl" - config_name: HepLean data_files: - split: valid path: "minictx-valid/HepLean.jsonl" - split: test path: "minictx-test/HepLean.jsonl" - config_name: mathlib data_files: - split: valid path: "minictx-valid/mathlib.jsonl" - split: test path: "minictx-test/mathlib.jsonl" - config_name: Seymour data_files: - split: valid path: "minictx-valid/Seymour.jsonl" - split: test path: "minictx-test/Seymour.jsonl" --- miniCTX-v2 is a context-rich dataset for evaluation of neural theorem proving under a more realistic scenario. miniCTX-v2 is an updated version of miniCTX with new theorems extracted after a more recent cutoff date of November 28, 2024. See our [project page](https://cmu-l3.github.io/minictx/) for more details. ## Example Entry An entry in the miniCTX dataset consists of the theorem statement, preceding file contents, and metadata information. For example, given the following theorem `s_eq_pow_two` in context: ```lean import Mathlib.Data.Real.Basic /-! # Square function We define the squaring function `s : ℝ → ℝ` to be `s x := x * x`. -/ def s (x : ℝ) : ℝ := x * x lemma s_eq_pow_two {x : ℝ} : s x = x ^ 2 := by rw [s, pow_two] ``` The problem is formatted in JSON as follows: ```json { # Preceding file content "srcContext": "import Mathlib.Data.Real.Basic\n\n/-!\n# Square function\nWe define the squaring function `s : ℝ → ℝ` to be `s x := x * x`.\n-/\n\ndef s (x : ℝ) : ℝ := x * x\n\n", # Theorem statement "theoremStatement": "lemma s_eq_pow_two {x : ℝ} : s x = x ^ 2", # Fully qualified theorem name "theoremName": "s_eq_pow_two", # Temporal metadata "fileCreated": {"commit":"(git commit)", "date":"(date the commit is updated)"}, "theoremCreated": {"commit":"(git commit)", "date":"(date the commit is updated)"}, # Source metadata "file": "MyProject/Square.lean", "module": "MyProject.Square", "positionMetadata": { # Line number the theorem is on "lineInFile": 10, # Number of tokens before the theorem "tokenPositionInFile": 152, # Number of premises (definitions, theorems) before the theorem "theoremPositionInFile": 1 }, # Dependency metadata "dependencyMetadata": { # Number of definitions or lemmas defined in this file that the theorem uses "inFilePremises": true, "numInFilePremises": 1, # Number of definitions or lemmas defined in this repository that the theorem uses (including in-file ones) "repositoryPremises": true "numRepositoryPremises": 1, # Number of total premises (in file, repository, or otherwise) "numPremises": 2, }, # Proof metadata "proofMetadata": { "hasProof": true, "proof": "by\n rw [s, pow_two]", "proofType": "tactic", "proofLengthLines": 2, "proofLengthTokens": 20 } } ``` ### Description of Each Entry - **srcContext**: The context of the source file preceding the theorem, including imports and relevant definitions. This provides necessary background to understand the theorem. - **theoremStatement**: The statement of the theorem being proved. - **theoremName**: The name of the theorem. - **fileCreated**: The git commit hash indicating when the file was created. - **theoremCreated**: The git commit hash indicating when the theorem was added. - **file**: The name of the file containing the theorem. - **positionMetadata**: - **lineInFile**: The line number in the file where the theorem is located. - **tokenPositionInFile**: The number of tokens in the file before the theorem starts. - **theoremPositionInFile**: The number of premises (definitions, theorems) before the theorem in the file. - **dependencyMetadata**: - **inFilePremises**: Indicates whether the theorem uses definitions or lemmas defined in the same file. - **numInFilePremises**: The number of definitions or lemmas from the same file that the theorem relies on. - **repositoryPremises**: Indicates whether the theorem uses definitions or lemmas defined in another file within the same repository. - **numRepositoryPremises**: The total number of definitions or lemmas from the repository (including the current file) that the theorem depends on. - **numPremises**: The total number of premises the theorem depends on, regardless of whether they are from the same file, the repository, or external sources. - **proofMetadata**: - **hasProof**: Indicates whether the theorem has a proof. - **proof**: The proof of the theorem. - **proofType**: The type of proof, term proof or tactic proof. - **proofLengthLines**: The length of the proof in lines. - **proofLengthTokens**: The length of the proof in tokens. In addition to individual entries, we also provide the link and git commit version of each split for evaluation: - Carleson: https://github.com/fpvandoorn/carleson, commit a5d265f109105809de4aaff16776b7c16b1c0bd5 - ConNF: https://github.com/leanprover-community/con-nf, commit 51c38ad244870b8b1f40b8272b281678397dfa4f - FLT: https://github.com/ImperialCollegeLondon/FLT, commit 4a97c893071433d0d39cbf5261d0877f864c2189 - Foundation: https://github.com/FormalizedFormalLogic/Foundation, commit 54324e6e009f0d0a288897312d3feb1c0165ad19 - HepLean: https://github.com/HEPLean/PhysLean, commit fe082d93c2775beee6634b24b34c8482a02ba8a8 - Mathlib: https://github.com/leanprover-community/mathlib4, tag v4.16.0 - Seymour: https://github.com/Ivan-Sergeyev/seymour, commit 27c0384977032b693daca8c4fcfc5cc274e1f2d6 miniCTX-v2 uses Lean version v4.16.0. ## Citation Please cite: ``` @article{hu2024minictx, title={miniCTX: Neural Theorem Proving with (Long-) Contexts}, author={Hu, Jiewen and Zhu, Thomas and Welleck, Sean}, journal={arXiv preprint arXiv:2408.03350}, year={2024} } ```