Breeding is a method in which two parent pokemon give birth to a child pokemon. It is mainly used to farm IVs, Nature, and Abilities.
The two parent pokemon must be opposite genders in order the breed. They also need to be in the same egg group. Use the /wiki pokemon egggroup command to check if both would-be parents are breedable.
Instead of the standard Ranch Block, Karp Rebellion has a command set aside for breeding: /pbreed. /pbreed takes the slots of the Pokemon you want to breed as arguments. For example, if you want to breed a Dragonite and a Kingdra that are in slots 1 and 3 respectively, you would do /pbreed 1 3.
/pbreed has a cooldown timer of 10 minutes. It is reset whenever you breed (or fail to breed) or when just logging on. The Breeder rank removes the /pbreed cooldown, which is useful if you want to get good, competitive Pokemon quickly.
The next step is to hatch the egg that you receive from breeding. Hatching is fairly simple on Karp Rebellion. All you have to do is type in the command /hatch. Just like /pbreed, this command also has a cooldown of 10 minutes, but there is no rank that will remove the cooldown.
The command /egglookup can be used to show the nature and ability of an egg.