Suppose you are a world-renowned private detective from Australia. Some authorities requested you to help them to solve the murder mystery of one of their most important colleague . After an initial investigation, they found that the suspected killer could be a serial killer or a lady. You visited the crime spot and identified the followings:

Nothing was taken from the murdered man’s house. Generally, if it is robbery, something is taken from the house. As it was not a case of robbery, then, was it politics, or was it a lady, behind the murder? Serial killer generally leave a crime scene immediately after a murder is done. On the contrary, the murderer, in this case, left his/her traces all over the room, indicating that the murderer didn’t leave immediately. That is, the murderer stayed for longer
time in the crime spot.
Identify the premises and use rules of inference to solve the
murder mystery.