minif2f-v1 / aime-1987-p8

aime-1987-p8

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal aime-1987-p8

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/aime-1987-p8.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem aime_1987_p8 :
  IsGreatest { n : ℕ | 0 < n ∧ ∃! k : ℕ, (8 : ℝ) / 15 < n / (n + k) ∧ (n : ℝ) / (n + k) < 7 / 13 } 112 := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.