Which one would have more power and lasting time a Mini CIM or a CIM

You will have to be more specific. A CIM has a higher power output than a Minicim. However by definition if it is more powerful then it will use power from the battery more quickly and the battery will not last as long. The CIM is also a heavier motor.

CIM is more powerful and takes abuse well. MiniCIM is 2/3 the power but still takes abuse well, however it does cool off significantly faster and can deal with being used heavily over a longer time frame(such as many back to back matches).