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+# Omega Calculator v1.2 (based on Omega Library 1.2, August, 2000):
+# #
+# # an example from a slightly defective dependence relation for givens2.t
+# #
+#
+# Symbolic n, line6exp(2) ;
+#
+#
+# { [i,j,k] -> [i',j',k'] :
+# 1 <= i <= n &&
+# 1 <= i' <= n &&
+# i+1 <= j <= n &&
+# i'+1 <= j' <= n &&
+# i <= k <= n &&
+# i' <= k' <= n and
+# ( 1 <= line6exp(i,j) or line6exp(i,j) <= -1 ) and
+# ( 1 <= line6exp(i',j') or line6exp(i',j') <= -1 ) };
+
+{[i,j,k] -> [i,j,k'] : 1 <= i <= k', j-1, k && j <= n && k <= n && k' <= n && 1 <= line6exp(i,j)} union
+ {[i,j,k] -> [i,j,k'] : 1 <= i <= k', j-1, k && line6exp(i,j) <= -1 && j <= n && k <= n && k' <= n} union
+ {[i,j,k] -> [i',j',k'] : 1 <= i' < i < j <= n && i <= k <= n && i' < j' <= n && i' <= k' <= n && 1 <= line6exp(i,j) && 1 <= line6exp(i',j')} union
+ {[i,j,k] -> [i',j',k'] : 1 <= i < i' < j' <= n && i < j <= n && i <= k <= n && i' <= k' <= n && 1 <= line6exp(i,j) && 1 <= line6exp(i',j')} union
+ {[i,j,k] -> [i',j',k'] : i' = i && 1 <= i < j' < j <= n && i <= k,k' <= n && 1 <= line6exp(i,j) && 1 <= line6exp(i',j')} union
+ {[i,j,k] -> [i',j',k'] : i' = i && 1 <= i < j < j' <= n && i <= k,k' <= n && 1 <= line6exp(i,j) && 1 <= line6exp(i',j')} union
+ {[i,j,k] -> [i',j',k'] : 1 <= i' < i < j <= n && i <= k <= n && i' < j' <= n && i' <= k' <= n && line6exp(i,j) <= -1 && 1 <= line6exp(i',j')} union
+ {[i,j,k] -> [i',j',k'] : 1 <= i < i' < j' <= n && i < j <= n && i <= k <= n && i' <= k' <= n && line6exp(i,j) <= -1 && 1 <= line6exp(i',j')} union
+ {[i,j,k] -> [i',j',k'] : i' = i && 1 <= i < j' < j <= n && i <= k,k' <= n && line6exp(i,j) <= -1 && 1 <= line6exp(i',j')} union
+ {[i,j,k] -> [i',j',k'] : i' = i && 1 <= i < j < j' <= n && i <= k,k' <= n && line6exp(i,j) <= -1 && 1 <= line6exp(i',j')} union
+ {[i,j,k] -> [i',j',k'] : 1 <= i' < i < j <= n && i <= k <= n && i' < j' <= n && i' <= k' <= n && line6exp(i',j') <= -1 && 1 <= line6exp(i,j)} union
+ {[i,j,k] -> [i',j',k'] : 1 <= i < i' < j' <= n && i < j <= n && i <= k <= n && i' <= k' <= n && line6exp(i',j') <= -1 && 1 <= line6exp(i,j)} union
+ {[i,j,k] -> [i',j',k'] : i' = i && 1 <= i < j' < j <= n && i <= k,k' <= n && line6exp(i',j') <= -1 && 1 <= line6exp(i,j)} union
+ {[i,j,k] -> [i',j',k'] : i' = i && 1 <= i < j < j' <= n && i <= k,k' <= n && line6exp(i',j') <= -1 && 1 <= line6exp(i,j)} union
+ {[i,j,k] -> [i',j',k'] : 1 <= i' < i < j <= n && i <= k <= n && i' < j' <= n && i' <= k' <= n && line6exp(i,j) <= -1 && line6exp(i',j') <= -1} union
+ {[i,j,k] -> [i',j',k'] : 1 <= i < i' < j' <= n && i < j <= n && i <= k <= n && i' <= k' <= n && line6exp(i,j) <= -1 && line6exp(i',j') <= -1} union
+ {[i,j,k] -> [i',j',k'] : i' = i && 1 <= i < j' < j <= n && i <= k,k' <= n && line6exp(i',j') <= -1 && line6exp(i,j) <= -1} union
+ {[i,j,k] -> [i',j',k'] : i' = i && 1 <= i < j < j' <= n && i <= k,k' <= n && line6exp(i',j') <= -1 && line6exp(i,j) <= -1}
+
+#