If Shiva and Vishnu were to engage in a duel, who would win?

If Shiva and Vishnu were to engage in a duel, who would win? Logically say, if lord shiva want to kill or capture shri Vishnu then how could this possible. I mean, suppose lord shiva fired his trisul toward shri Vishnu and trisul penetrate the chest of lord vishnu then is trisul has power more than shri Vishnu so that this weapon can injure shri Vishnu. The answer is no. Again, if shri Vishnu fired his sudershan chakra toward lord shiva then is sudershan chakra has power so that it can injure lord shiva. The answer is again no. There are no such weapons exist in the universe that can kill lord shiva and shri Vishnu. There is no way to kill them even if they want to kill themselves. Conclusion : If Shiva and Vishnu were to engage in a duel then no one would win because they are supreme to all the creation and fight will continue to infinity without any result.