schema_version = "1.4" [task] name = "openai-math/algorithmic-thin-trees" version = "1.0.0" description = "Prove AlgorithmicThinTrees (openai/math family 174: Deterministic construction of strong thin spanning trees) in Lean 4 with Mathlib; graded by Comparator in a separate sandbox." keywords = ["lean4", "mathlib", "theorem-proving", "openai-math", "combinatorics"] [metadata] source = "https://github.com/openai/math" source_commit = "adc7f1241b42e322a6451854ab7e4b4c146bf78a" source_license = "Apache-2.0" source_notice = "tests/Challenge.lean is lean/ComparatorChallenges/AlgorithmicThinTrees.lean from openai/math, (c) OpenAI, unchanged; see NOTICE at the dataset root" challenge = "AlgorithmicThinTrees" family = "174" family_title = "Deterministic construction of strong thin spanning trees" subject = "Combinatorics" theorems = ["OAI.AlgorithmicThinTrees.algorithmic_strong_thin_trees"] definition_holes = [] fixed_definitions = [] reference_module = "OAI.Combinatorics.ThinTrees.AlgorithmicMain" reference_modules = 736 reference_lean_bytes = 4556988 reference_requires_packages = [] oracle_result = "accepted" oracle_grade_seconds = 2392 difficulty = "research" [agent] timeout_sec = 14400 network_mode = "no-network" [environment] build_timeout_sec = 5400 cpus = 4 memory_mb = 8192 storage_mb = 10240 workdir = "/workspace" # Lean sees all host CPUs rather than the sandbox's 4; this bounds `lake build` to 3 parallel jobs. env = { LEAN_NUM_THREADS = "3" } [verifier] timeout_sec = 15801 environment_mode = "separate" network_mode = "no-network" [[verifier.collect]] command = "python3 /opt/openai-math/pack_submission.py" timeout_sec = 300