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-# Omega Calculator v1.2 (based on Omega Library 1.2, August, 2000):
-# 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;
-
-{[i] -> [j] : FALSE }
-
-#
-# inverse R;
-
-{[j] -> [j] : 1 <= j <= 100}
-
-#
-# inverse S;
-
-{[j] -> [j] : 1 <= j <= 100} union
- {[j] -> [i] : n(j) = n(i) && 1 <= i < j <= 100}
-
-#
-# inverse S intersection complement inverse R;
-
-{[j] -> [i] : n(j) = n(i) && 1 <= i < j <= 100}
-
-#