# 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}

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