schema_version = "1.4" [task] name = "openai-math/bounded-tree-potentials" version = "1.0.0" description = "Prove BoundedTreePotentials (openai/math family 331: Asymptotic midpoint uniform convexity without asymptotically uniformly convex renorming) in Lean 4 with Mathlib; graded by Comparator in a separate sandbox." keywords = ["lean4", "mathlib", "theorem-proving", "openai-math", "functional-analysis"] [metadata] source = "https://github.com/openai/math" source_commit = "adc7f1241b42e322a6451854ab7e4b4c146bf78a" source_license = "Apache-2.0" source_notice = "tests/Challenge.lean is lean/ComparatorChallenges/BoundedTreePotentials.lean from openai/math, (c) OpenAI, unchanged; see NOTICE at the dataset root" challenge = "BoundedTreePotentials" family = "331" family_title = "Asymptotic midpoint uniform convexity without asymptotically uniformly convex renorming" subject = "Functional analysis" theorems = ["OAI.BoundedTreePotentials.TreeCalculus.main_counterexample"] definition_holes = [] fixed_definitions = [] reference_module = "OAI.Analysis.TreePotential.Main" reference_modules = 46 reference_lean_bytes = 595707 reference_requires_packages = [] oracle_result = "accepted" oracle_grade_seconds = 358 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 = 12236 environment_mode = "separate" network_mode = "no-network" [[verifier.collect]] command = "python3 /opt/openai-math/pack_submission.py" timeout_sec = 300