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This dataset packages the Lean statements of OpenAI's "openai/math" release as Harbor tasks.
Redistributed material
----------------------
Each task's tests/Challenge.lean, and the Lean block quoted in its instruction.md, is the file
lean/ComparatorChallenges/<Name>.lean from https://github.com/openai/math at commit
adc7f1241b42e322a6451854ab7e4b4c146bf78a, copyright OpenAI, licensed under the Apache License, Version 2.0 (see
LICENSE-openai-math). The files are unchanged.
Modified material
-----------------
The Comparator configuration of each task (tests/task.json) is derived from the corresponding
lean/ComparatorChallenges/<Name>.json in that repository. In eight tasks, definitions that the
original listed under "definition_names" although their bodies are written out were removed from
that list, so that Comparator requires them to match exactly; task.toml records them under
[metadata] fixed_definitions.
Only statements whose official proof was verified in the environment are included; the README
lists the others and why each could not be validated. One challenge (DefocusingNLS) is left out
by design.
Not included
------------
OpenAI's proofs (the lean/OAI library) are not part of this dataset.
Everything else in this dataset (task.toml, instruction.md apart from the quoted statement,
tests/grade.py, tests/test.sh, environment/, solution/, generator/) is licensed under the
Apache License, Version 2.0 (see LICENSE).
Third-party software in the sandbox image
-----------------------------------------
Lean 4 and Mathlib (Apache-2.0); Comparator and lean4export by the Lean FRO (Apache-2.0),
Comparator built from leanprover/comparator@d03acab with a one-line patch that passes
LEAN_NUM_THREADS into its sandbox; landrun (MIT). The image is built from environment/ at run
time; none of this software is stored in the dataset.
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