Given a statement about date and time, state whether the statement is true or false. The number of date/time operands in the statement ranges between 2 and 3. Let's say the values are denoted by t1, t2 and t3. The statements follow one of the following ten templates: 't1 occurs before t2, t1 doesn't occur before t2, t1 occurs after t2, t1 doesn't occur after t2, t1 occurs between t2 and t3, t1 doesn't occur between t2 and t3, t1 occured before t2 but after t3, t1 occured after t2 but before t3, t1 didn't occur before t2 but after t3, t1 didn't occur after t2 but before t3'. The output should be either 'True' or 'False'.

Example Input: 04:01:34 AM occurs between 5:57:21 AM and 12:41:54
Example Output: False

Example Input: 10:37:22 PM occured before 01:34:40 PM but after 06:03:50 PM
Example Output: False

Example Input: 2:55:49 AM occured before 1:01:40 AM but after 21:25:16
Example Output:
True