The simplest explanation for how to extract diesel fuel from used motor oil is this: The oil must be heated to a point where the diesel is atomized into a steam, then the diesel steam must be converted to liquid and stored. The minimal equipment needed to do this is an input storage container, a heat generator, a fuel container and a cooling system. Do your homework. If assembled improperly, this system can be deadly.
Obtain a metal container that can withstand temperatures of up 1,000 degrees Fahrenheit for extended periods. Fill the container with the waste oil to be converted. This method is considered dangerous.
Raise the temperature of the waste oil to at least 500 degrees, ideally using a heat source that runs on diesel so it can be self sustaining after the first run. This method is considered extremely dangerous.
Attach a hood to the input storage container. Run a pipe from the hood to a fuel-rated container.
Run cold water over the hood of the input storage container to convert the diesel steam to liquid. This will allow the liquid diesel to run through the pipe into the fuel container. This method is extremely dangerous as well. Seal the hood to prevent water getting into the waste oil or there will be an explosion.