openai-math =========== 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/.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/.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.