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(************************************************************************)
(*                                                                      *)
(* Micromega: A reflexive tactic using the Positivstellensatz           *)
(*                                                                      *)
(*  Frédéric Besson (Irisa/Inria) 2006-2008                             *)
(*                                                                      *)
(************************************************************************)

Require Import ZArith.
Require Import Lia.

Open Scope Z_scope.

Lemma vcgen_25 : forall
  (n : Z)
  (m : Z)
  (jt : Z)
  (j : Z)
  (it : Z)
  (i : Z)
  (H0 : 1 * it + -2 * i + -1 = 0)
  (H : 1 * jt + -2 * j + -1 = 0)
  (H1 : 1 * n + -10 = 0)
  (H2 : 0 <= -4028 * i + 6222 * j + 705 * m + -16674)
  (H3 : 0 <= -418 * i + 651 * j + 94 * m + -1866)
  (H4 : 0 <= -209 * i + 302 * j + 47 * m + -839)
  (H5 : 0 <= -1 * i + 1 * j + -1)
  (H6 : 0 <= -1 * j + 1 * m + 0)
  (H7 : 0 <= 1 * j + 5 * m + -27)
  (H8 : 0 <= 2 * j + -1 * m + 2)
  (H9 : 0 <= 7 * j + 10 * m + -74)
  (H10 : 0 <= 18 * j + -139 * m + 1188)
  (H11 : 0 <= 1 * i + 0)
  (H13 : 0 <= 121 * i + 810 * j + -7465 * m + 64350),
  (1 = -2 * i + it).
Proof.
  intros ; lia.
Qed.