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diff --git a/omega/examples/old_test/pufs3 b/omega/examples/old_test/pufs3
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+symbolic n(1);
+R := { [i] -> [j] : 1 <= i = j <= 100 && n(i) <= n(j)};
+S := { [i] -> [j] : 1 <= i <= j <= 100 && n(i) = n(j)};
+
+R intersection complement S;
+inverse R;
+inverse S;
+inverse S intersection complement inverse R;