We do not academically consider reasoning or thinking an activity restricted to humans, but as absolute processes.
If the process is sound, yes, it can be said to be thinking or reasoning - it produced "sound thought or reasoning".
The "reasoning" is there and elsewhere the absolute (from the producing entity) output which is valid as a representation of proper reasoning.
If "A is B and B is C, then A is C" is reasoning, than what produces it in a way "reasons". If not, then a proper definition of "reasoning" must be provided, for it to be discussed.
It will be related to the context. If a process tells me that "if the light is blue and the sound is sharp then the lever must be lowered", it outputs reasoning; if what the activity did was running on conditional paths like an Expert System, what it did was different from the content and only improper reasoning; if the activity produced semantic evaluations about the light, the blue, the sound, the sharpness, the lever etc., then it was reasoning even if it was a process that reasoned.
But all of this makes sense only when it is there for the proper implementation of reasoning. Otherwise, Dijkstra is valid.
By this definition, all computer programs using simple IF statements are reasoning.