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diff --git a/test-suite/micromega/zomicron.v b/test-suite/micromega/zomicron.v
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+Require Import ZArith.
+Require Import Micromegatac.
+Open Scope Z_scope.
+
+Lemma two_x_eq_1 : forall x, 2 * x = 1 -> False.
+Proof.
+  intros.
+  omicron Z.
+Qed.
+
+Lemma two_x_y_eq_1 : forall x y, 2 * x + 2 * y = 1 -> False.
+Proof.
+  intros.
+  omicron Z.
+Qed.
+
+Lemma two_x_y_z_eq_1 : forall x y z, 2 * x + 2 * y + 2 * z= 1 -> False.
+Proof.
+  intros.
+  omicron Z.
+Qed.
+
+Lemma omega_nightmare : forall x y, 27 <= 11 * x + 13 * y <= 45 -> 7 * x - 9 * y = 4 -> -10 <= 7 * x - 9 * y <= 4 -> False.
+Proof.
+  intros ; intuition auto.
+  omicron Z.
+Qed.