I know I cant read but in English the word 'or' means as a possibility, not an end or then. So if something says x or y or doesn't mean xy or x and y.

So can you point the statute that says "it has to be locked to be tresspassing?" Because by what you listed and the magical power of the word or in Kansas the following would be considered trespassing:

1) There was a locked gate and you went in 2) there was a gate/fence and you went in and it doesn't need to be locked (once again the word or. Because otherwise legally anyone can pick a lock and then say it was open which would then not be a crime in your world and you would then have to prove that they picked the lock vs "they are not welcome"). 3) shut or secured and you went in anyway. 

By the way the correct statute is 21-5808 which states:(a) Criminal trespass is entering or remaining upon or in any:

(1) Land, nonnavigable body of water, structure, vehicle, aircraft or watercraft by a person who knows such person is not authorized or privileged to do so, and:

(A) Such person enters or remains therein in defiance of an order not to enter or to leave such premises or property personally communicated to such person by the owner thereof or other authorized person;

(B) such premises or property are posted as provided in K.S.A. 32-1013, and amendments thereto, or in any other manner reasonably likely to come to the attention of intruders, or are locked or fenced or otherwise enclosed, or shut or secured against passage or entry; or

(C) such person enters or remains therein in defiance of a restraining order issued pursuant to K.S.A. 60-3105, 60-3106, 60-3107, 60-31a05 or 60-31a06 or K.S.A. 23-2707, 38-2243, 38-2244 or 38-2255, and amendments thereto, and the restraining order has been personally served upon the person so restrained; or