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358dd8b | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 | import nest_asyncio
from client import Lean4Client
# Enable nested asyncio for Jupyter notebooks
nest_asyncio.apply()
client = Lean4Client(base_url="http://localhost:8000")
mock_proof = """import Mathlib
import Aesop
set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat
theorem lean_workbook_10009 (a b c: ℝ) (ha : a ≥ 0 ∧ b ≥ 0 ∧ c ≥ 0 ∧ a + b + c = 1): a^3 + b^3 + c^3 + (15 * a * b * c)/4 ≥ 1/4 := by
nlinarith [sq_nonneg (a - b), sq_nonneg (b - c), sq_nonneg (c - a),
sq_nonneg (a + b + c)]"""
response = client.verify(
[{"proof": mock_proof, "custom_id": "1"}, {"proof": mock_proof, "custom_id": "2"}],
timeout=30,
)
# Expected response format:
# ```json
# {
# "results":
# [
# {
# "custom_id": "1",
# "error": null,
# "response": {
# "messages": [
# {
# "severity": "error",
# "pos": {"line": 8, "column": 0},
# "endPos": {"line": 9, "column": 22},
# "data": "linarith failed to find a contradiction\ncase a\na b c : ℝ\nha : a ≥ 0 ∧ b ≥ 0 ∧ c ≥ 0 ∧ a + b + c = 1\na✝ : 1 / 4 > a ^ 3 + b ^ 3 + c ^ 3 + 15 * a * b * c / 4\n⊢ False\nfailed"
# }
# ],
# "env": 1,
# "time": 1.0048656463623047
# }
# },
# {
# "custom_id": "2",
# "..."
# }
# ]
# }
# ```
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