As you can see the whole order of sequences is illogical. The film is supposed to start at scene 6, with the men on horseback arriving to the palace with the two men. 7 and 8 follow correctly and then it should be followed by scene 1, where Mitchell and the concubine argue over Mitchell being infatuated with Fatima/Bella Cortez (scene 8). It doesn't make any sense to start the film with scene 1. The two kneeling men we see in scene 8 are the two men tortured in scene 2. Also in scene 8 they talk about who's going to be part of the tournament, the very men we see in scene 5. The correct order is scene 6, 7, 8, 1, 2, 3, 4, 5 which continues correctly for the remainder of the film (at the 20 minute mark). There are a few other scenes that needed to be re-arranged but the bulk of the messed up sequences are those listed here.
Whoever re-arranged the actual order of those scenes for US TV was either drunk or plain stupid. This messed up cut of ALI BABA AND THE 7 SARACENS is the ONLY copy sold in North America or viewable on Youtube (well, except mine). It's amazing that no one has noticed this by now.
I fixed the film and unsurprisingly the quality of it improved as well.