Commonsense and temporal reasoning are two main research topics in artificial intelligence. Temporal reasoning proposed by Allen and others lacks a unified representative network about time point, interval and duration, overemphasizes computation while lacking rule inference, is difficult to apply in multiagent setting, and does not consider inconsistency in common sense. In this paper, the authors present a unified representative network about time information, analyze the inference rules among constraints, and propose the multiagent cooperative method satisfying weak path consistency to solve commonsense temporal task. The work of this paper improves the work of Meiri as well as that of Wetprasit and Sattar, provides viable scheme for temporal reasoning to combine commonsense property and to fit the cooperative multiagent setting.