Overall it seems that theory two makes the most sense. Even though in alternative three states that the use of wooden rollers wasn't used until 750 BC, the fact that they can use the mud to drag the stones around, and using their own muscle power to move the stones to different destinations, this seems like the most likeliest one. .
Since alternative number two seemed that one to be most believable with how they built the pyramid, using mud from the Nile and muscle power and perhaps the use of wooden rollers, where did the get these materials to build the pyramid. The pyramid was mostly made up limestone, and other materials found by the Nile. The first view on how the pyramids were made, explains that the Egyptians used approximately 2 600 000 stones weighing from 2.2 tons each. And if they piled 10 blocks a day on top of each other it would take them 664 years to build the pyramid and this isn't the case. To get the wood for the wooden rollers they needed to import it from Nile to Cario. Then they need to transport the wood to where the pyramid was being built. This should have been hard since they did not have a horse and cart to help move the wood. In alternative two, the limestone that was used to build the pyramid was found in a quarry located on the Gizeh plateau, south pyramid, and the granite that was used in the Pharaohs burial chamber was ferried by boat from Aswan 700m up the river. This is how they got most of the materials to the site. They used boats to import some of the materials, to the site. In the third theory, it was said that they carried materials to make the artificial limestone. Using hoes, baskets, ladders, squares, plumb lines, levels, trowels, and wooden molds. This theory believed that the Egyptians made their own limestone, so they didn't have to carry it great distances. It could be made on site. Overall theory number two again seems the most logical. The Egyptians did have boats, and they could have easily gotten the wood, and the limestone and any other material that they needed by traveling and trading amongst their neighbors if need be.