Well, perhaps it was my mistake but I correctly understood your intent the first time. I had been using M to represent the middle one anyway, not all three.
However, I seem to have issues nonetheless. I feel as though I have already gone through every possible combination.
I know I can solve the inner corners and the inner edges separately. Their respective alrogithms do not effect the other pieces in the face.
Let me explain my situation to you. All inner corner pieces are solved and in position. As for the inner edges, the top and bottom ones are in the correct place. The left and right ones, however, are in opposite places from where they should be.
I need to rotate the left and right inner edges 180 degrees about, without changing the position of the top or bottom inner edge pieces.
If I perform the edge swap algorithm the top edge stays where it is, the right edge is completed correctly, but the bottom and left edges are now backwards. If I rotate all the edge pieces 180 degrees then the left and right ones are solved but the top and bottom ones are in the wrong place.
No matter how I orient the cube, Im perpetually in a situation of having either having 0 or 2 center edges in the correct place and 2 or 4 edges in the incorrect place. You are telling me I should be able to solve it after getting just one, but I cannot get just one much less all four. I feel as though this is a parity issue or something.
I am able to get all four center edges positioned correctly with respect to themselves, but not with respect to the center corners. So if there is a way to rotate all four center edges 90 degrees around without rotating the center corners then Im set.
That said, perhaps I should mention this. I dont think its relevant but who knows? Im not working on an actual physical cube. Im using a digital program that emulates a cube. Specifically, Im using an iPod Touch app by Senygma, Magmic and Seven Towns, titled "Rubik's Cube". Version 1.0.14. On the 4th generation iPod Touch iOS version 6.0.1.
I mention this because, its possible, there is a glitch in the program that created an impossible cube. Does anyone know of such a problem with this program?
I only bring this up because my persistent problem with this seemingly unsolveable cube is with the iPod Touch app. When I do play with an actual 5x5x5 super cube, I have yet to run into this problem. I dont know. Maybe its just luck so far that I havent run into this problem, or maybe it has everything to do with the app.