Input TRS:
    1: top(north(old(n),e,s,w)) -> top(east(n,e,s,w))
    2: top(north(new(n),old(e),s,w)) -> top(east(n,old(e),s,w))
    3: top(north(new(n),e,old(s),w)) -> top(east(n,e,old(s),w))
    4: top(north(new(n),e,s,old(w))) -> top(east(n,e,s,old(w)))
    5: top(east(n,old(e),s,w)) -> top(south(n,e,s,w))
    6: top(east(old(n),new(e),s,w)) -> top(south(old(n),e,s,w))
    7: top(east(n,new(e),old(s),w)) -> top(south(n,e,old(s),w))
    8: top(east(n,new(e),s,old(w))) -> top(south(n,e,s,old(w)))
    9: top(south(n,e,old(s),w)) -> top(west(n,e,s,w))
    10: top(south(old(n),e,new(s),w)) -> top(west(old(n),e,s,w))
    11: top(south(n,old(e),new(s),w)) -> top(west(n,old(e),s,w))
    12: top(south(n,e,new(s),old(w))) -> top(west(n,e,s,old(w)))
    13: top(west(n,e,s,old(w))) -> top(north(n,e,s,w))
    14: top(west(old(n),e,s,new(w))) -> top(north(old(n),e,s,w))
    15: top(west(n,old(e),s,new(w))) -> top(north(n,old(e),s,w))
    16: top(west(n,e,old(s),new(w))) -> top(north(n,e,old(s),w))
    17: top(north(bot(),old(e),s,w)) -> top(east(bot(),old(e),s,w))
    18: top(north(bot(),e,old(s),w)) -> top(east(bot(),e,old(s),w))
    19: top(north(bot(),e,s,old(w))) -> top(east(bot(),e,s,old(w)))
    20: top(east(old(n),bot(),s,w)) -> top(south(old(n),bot(),s,w))
    21: top(east(n,bot(),old(s),w)) -> top(south(n,bot(),old(s),w))
    22: top(east(n,bot(),s,old(w))) -> top(south(n,bot(),s,old(w)))
    23: top(south(old(n),e,bot(),w)) -> top(west(old(n),e,bot(),w))
    24: top(south(n,old(e),bot(),w)) -> top(west(n,old(e),bot(),w))
    25: top(south(n,e,bot(),old(w))) -> top(west(n,e,bot(),old(w)))
    26: top(west(old(n),e,s,bot())) -> top(north(old(n),e,s,bot()))
    27: top(west(n,old(e),s,bot())) -> top(north(n,old(e),s,bot()))
    28: top(west(n,e,old(s),bot())) -> top(north(n,e,old(s),bot()))
   e1: top(north(old(n),e,s,w)) ->= top(north(n,e,s,w))	[relative]
   e2: top(north(new(n),e,s,w)) ->= top(north(n,e,s,w))	[relative]
   e3: top(east(n,old(e),s,w)) ->= top(east(n,e,s,w))	[relative]
   e4: top(east(n,new(e),s,w)) ->= top(east(n,e,s,w))	[relative]
   e5: top(south(n,e,old(s),w)) ->= top(south(n,e,s,w))	[relative]
   e6: top(south(n,e,new(s),w)) ->= top(south(n,e,s,w))	[relative]
   e7: top(west(n,e,s,old(w))) ->= top(west(n,e,s,w))	[relative]
   e8: top(west(n,e,s,new(w))) ->= top(west(n,e,s,w))	[relative]
   e9: bot() ->= new(bot())	[relative]
Number of Rules: 28
Direct Mat3b ... removes: 18 4 1 3 16 21 19 28 5 10 7 20 23 24 11 9 13 6 e7 e3 e5 e1
	I(new) = [1,0,0;1,0,1;1,1,1] * x1
	I(south) = [1,1,1;1,1,1;1,0,1] * x1 + [2,0,0;1,0,0;1,1,1] * x2 + [1,0,0;1,0,1;1,1,1] * x3 + [2,1,0;0,0,1;1,1,1] * x4 + [1;1;1]
	I(top) = [1,1,1;1,1,1;0,0,0] * x1
	I(bot) = [0;0;0]
	I(west) = [1,1,1;1,0,1;0,0,1] * x1 + [2,0,1;0,1,0;1,0,0] * x2 + [2,1,1;1,0,1;1,1,1] * x3 + [1,1,0;1,0,1;1,1,1] * x4 + [1;1;1]
	I(north) = [1,0,1;1,0,1;0,1,1] * x1 + [2,0,0;1,0,1;0,1,0] * x2 + [2,1,1;0,0,1;1,1,1] * x3 + [2,1,0;1,1,1;1,0,1] * x4 + [1;1;1]
	I(east) = [2,0,1;1,1,1;1,1,1] * x1 + [2,0,0;1,0,0;0,1,1] * x2 + [2,1,1;0,0,1;1,0,1] * x3 + [2,1,0;1,1,1;0,0,1] * x4 + [1;1;1]
	I(old) = [2,1,1;1,0,1;1,1,1] * x1 + [1;1;1]
Number of Rules: 10
Direct Mat3b ... removes: 15 8 26 17 27 22 25 14 12 2
	I(new) = [2,1,1;1,1,0;1,1,1] * x1
	I(south) = [1,1,1;0,0,0;1,1,1] * x1 + [2,1,1;1,1,0;1,1,0] * x2 + [1,0,0;0,0,0;1,1,1] * x3 + x4 + [0;1;0]
	I(top) = [2,0,1;1,0,1;1,0,1] * x1
	I(bot) = [0;0;0]
	I(west) = [1,1,1;0,0,1;0,1,1] * x1 + [2,1,1;1,1,1;0,0,0] * x2 + [1,1,0;0,0,0;1,0,1] * x3 + [1,0,0;0,0,0;0,0,0] * x4 + [1;0;1]
	I(north) = [1,1,1;1,1,1;0,0,0] * x1 + [1,1,0;0,0,0;1,0,0] * x2 + [1,1,0;0,0,1;1,0,1] * x3 + [2,1,0;1,1,0;0,0,1] * x4 + [0;0;2]
	I(east) = [1,1,1;0,1,0;1,1,1] * x1 + [1,0,0;0,0,0;0,0,1] * x2 + [1,1,0;0,0,0;1,0,1] * x3 + [1,1,0;1,1,1;0,0,1] * x4 + [0;0;1]
	I(old) = [1,1,0;1,0,0;1,0,0] * x1 + [2;1;4]
Number of Rules: 0