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[task]
name = "openai-math/binary-sweep"
version = "1.0.0"
description = "Prove BinarySweep (openai/math family 238: Optimal logarithmic mixing of the Thorp shuffle) in Lean 4 with Mathlib; graded by Comparator in a separate sandbox."
keywords = ["lean4", "mathlib", "theorem-proving", "openai-math", "probability-and-statistical-mechanics"]
[metadata]
source = "https://github.com/openai/math"
source_commit = "adc7f1241b42e322a6451854ab7e4b4c146bf78a"
source_license = "Apache-2.0"
source_notice = "tests/Challenge.lean is lean/ComparatorChallenges/BinarySweep.lean from openai/math, (c) OpenAI, unchanged; see NOTICE at the dataset root"
challenge = "BinarySweep"
family = "238"
family_title = "Optimal logarithmic mixing of the Thorp shuffle"
subject = "Probability and statistical mechanics"
theorems = ["OAI.binary_sweep_contraction_and_mixing"]
definition_holes = []
fixed_definitions = []
reference_module = "OAI.Probability.BinarySweep.Main"
reference_modules = 192
reference_lean_bytes = 1151658
reference_requires_packages = []
oracle_result = "accepted"
oracle_grade_seconds = 768
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 = 12736
environment_mode = "separate"
network_mode = "no-network"
[[verifier.collect]]
command = "python3 /opt/openai-math/pack_submission.py"
timeout_sec = 300
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