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(* Micromega: A reflexive tactic using the Positivstellensatz           *)
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(*  Frédéric Besson (Irisa/Inria) 2006-2008                             *)
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(* Other (simple) examples *)
Open Scope Q_scope.
Open Scope Z_scope.
Open Scope Q_scope.

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