It looks like you can't use timepstamp data types with InfiniDB. I have the same version as @mhoglan but it seems there is a little mistake in that query:
mysql> create table test (`CREATE_TIMESTAMP` TIMESTAMP NOT NULL DEFAULT CURRENT_TIMESTAMP ON UPDATE CURRENT_TIMESTAMP);
Query OK, 0 rows affected (0.00 sec)
is missing "engine=infinidb;" at the end, which would create the table in infinidb.
Instead, the table is created using MySQL's default engine (MyISAM or whichever).
mysql> create table test (`CREATE_TIMESTAMP` TIMESTAMP NOT NULL DEFAULT CURRENT_TIMESTAMP ON UPDATE CURRENT_TIMESTAMP) engine=infinidb;
ERROR 138 (HY000): The syntax or the data type(s) is not supported by InfiniDB. Please check the InfiniDB syntax guide for supported syntax or data types.
As you can see, adding engine=infinidb fails.
If you can use datetime instead that may be the way to go; timestamp doesn't appear to be supported right now :(