As the sea serpent reared its head alongside the ship, all hands fought valiantly. The sea serpent was finally force to retreat, and it fled the area. Among the Captain and his four mates, two fought with muskets, two fought with cutlasses, and one fought with a dagger. It is known that:

1. Long John fought using a musket, unless Will Kidd did not fight using a dagger.
2. Black Jack fought using a cutlass, unless Captain Lafoot did not fight using a dagger
3. If Red Beard fought using a musket, then Long John fought using a cutlass.
4. If Captain Lafoot did not fight using a cutlass, then Red Beard fought using a cutlass and Long. John fought using a dagger.
5. Will Kidd fought using a dagger, unless neither Red Beard nor Long John fought using a cutlass.
6. If Will Kidd fought using a musket, then Captain Lafoot did not fight using either a musket or a cutlass.
7. If Black Jack fought using a dagger, then neither Red Beard nor Captain Lafoot fought using a cutlass.

From the statements above, determine which pirates fought with which weapons.