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-# Omega Calculator [v1.1, Nov 96]:
-# #
-# # Examples of relations using uninterpreted function symbols
-# # from Omega Calculator documentation
-# #
-# 
-# symbolic p(2), n, m;
-# 
-# R  := { [ir,jr] : 1 <= ir <= n && 1 <= jr <= m };
-# 
-# W1 := { [iw,jw] : 1 <= iw <= n && 1 <= jw <= m && p(Set) >= 0 };
-# 
-# W2 := { [iw,jw] : 1 <= iw <= n && 1 <= jw <= m && p(Set) <  0 };
-# 
-# Exposed := R intersection complement ( W1 union W2 );
-# 
-# Exposed;
-
-{[In_1,In_2]  : FALSE }
-
-# 
-# 
-# symbolic f(1);
-# 
-# R1 := { [i] -> [j] : 1 <= i = j <= 100 && f(In) <= f(Out)};
-# 
-# R2 := { [i] -> [j] : 1 <= i <= j <= 100 && f(In) = f(Out)};
-# 
-# 
-# R1 intersection R2;
-
-{[i] -> [i] : 1 <= i <= 100}
-
-# 
-# R1 union R2;
-
-{[i] -> [j] : f(j) = f(i) && 1 <= i < j <= 100} union
- {[i] -> [i] : 1 <= i <= 100}
-
-# 
-# R1 intersection complement R2;
-
-{[i] -> [j]  : FALSE }
-
-# 
-# R1;
-
-{[i] -> [i] : 1 <= i <= 100}
-
-#