Programmed stupidity

On 81Dojo today kenjin was playing HaChu 0.19. The following position arose when he was short of time:

 

Computer finds a mate - human doesn't

Computer finds a mate – human doesn’t

The computer spotted mate, and so started sacrificing everything it could to delay it. But kenjin didn’t actually find the mating sequence, and took a long time to win, despite hachu having sacrificed lion, dragon horse and white horse.

 

Given time, can you find the mate (mate in the sense that there is no defence to checkmate, not in the mating-problem sense where every move is check)?

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