Attempts to partition main HDD fail
I am running Snow Leopard 10.6.8 on a mid-2010 MBP. I am trying to create a partition of 50 GB to hold Yosemite OS X. However, when running Disk Utility an error comes up after verifying the disk 'Partition failed with the error: The partition cannot be resized. Try reducing the amount of change in the size of the partition.'
Trying any smaller size partition yields the same results. My HDD has the capacity of 500 GB and I am currently using around 420 GB in file storage so I know there is enough space to make this partition. Under the 'First Aid' tab I have both verified and repaired disk permissions, as well as verified the disk itself. This confirmed that I did not need to repair the disk.
Screenshots:
MacBook Pro, Mac OS X (10.6.8)