minif2f-v1 / aimeii-2001-p3

aimeii-2001-p3

open
difficulty 4
credited
Run this goal:./swarm/run.sh --goal aimeii-2001-p3

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/aimeii-2001-p3.lean
import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem aimeii_2001_p3 (x : ℕ → ℤ) (h₀ : x 1 = 211) (h₂ : x 2 = 375) (h₃ : x 3 = 420)
  (h₄ : x 4 = 523) (h₆ : ∀ n ≥ 5, x n = x (n - 1) - x (n - 2) + x (n - 3) - x (n - 4)) :
  x 531 + x 753 + x 975 = 898 := by
  sorry

Runs (0)

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