Given: Set of Set of Intervals. Example {{(1,2), (3,4)}, {(1, 3)}, {(13,14)}}

Wanted Result: Largest Subset, in which no Interval overlaps with another from every Set pairwise.

Example:

Input {{(1,2), (3,4)}, {(1, 3)}, {(13,14)}} A possible Solution would be: {{(1,2), (3,4)}, {(13,14)}} Another could be {{(1, 3)}, {(13,14)}}, it's not important that the solution above has more 'subelements', its only important that 2 = |{{(1,2), (3,4)}, {(13,14)}}| = |{{(1, 3)}, {(13,14)}}|

Now i am looking for a good/efficient Algorithm to solve that problem.