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]
Dependency Pairs:
   #1: # top(north(new(n),old(e),s,w)) -> # top(east(n,old(e),s,w))
   #2: # top(south(n,e,new(s),w)) -> # top(south(n,e,s,w))	[relative]
   #3: # top(east(n,new(e),s,w)) -> # top(east(n,e,s,w))	[relative]
   #4: # top(east(old(n),new(e),s,w)) -> # top(south(old(n),e,s,w))
   #5: # top(west(n,e,s,old(w))) -> # top(north(n,e,s,w))
   #6: # top(south(n,e,old(s),w)) -> # top(west(n,e,s,w))
   #7: # top(south(n,old(e),new(s),w)) -> # top(west(n,old(e),s,w))
   #8: # top(south(n,old(e),bot(),w)) -> # top(west(n,old(e),bot(),w))
   #9: # top(south(old(n),e,bot(),w)) -> # top(west(old(n),e,bot(),w))
   #10: # top(south(n,e,new(s),old(w))) -> # top(west(n,e,s,old(w)))
   #11: # top(west(n,e,s,new(w))) -> # top(west(n,e,s,w))	[relative]
   #12: # top(west(old(n),e,s,new(w))) -> # top(north(old(n),e,s,w))
   #13: # top(north(new(n),e,s,w)) -> # top(north(n,e,s,w))	[relative]
   #14: # top(south(n,e,bot(),old(w))) -> # top(west(n,e,bot(),old(w)))
   #15: # top(east(old(n),bot(),s,w)) -> # top(south(old(n),bot(),s,w))
   #16: # top(east(n,new(e),old(s),w)) -> # top(south(n,e,old(s),w))
   #17: # top(south(old(n),e,new(s),w)) -> # top(west(old(n),e,s,w))
   #18: # top(east(n,old(e),s,w)) -> # top(east(n,e,s,w))	[relative]
   #19: # top(east(n,old(e),s,w)) -> # top(south(n,e,s,w))
   #20: # top(west(n,e,old(s),bot())) -> # top(north(n,e,old(s),bot()))
   #21: # top(east(n,bot(),s,old(w))) -> # top(south(n,bot(),s,old(w)))
   #22: # top(south(n,e,old(s),w)) -> # top(south(n,e,s,w))	[relative]
   #23: # top(west(n,old(e),s,bot())) -> # top(north(n,old(e),s,bot()))
   #24: # top(north(bot(),old(e),s,w)) -> # top(east(bot(),old(e),s,w))
   #25: # top(west(n,e,s,old(w))) -> # top(west(n,e,s,w))	[relative]
   #26: # top(north(bot(),e,s,old(w))) -> # top(east(bot(),e,s,old(w)))
   #27: # top(west(old(n),e,s,bot())) -> # top(north(old(n),e,s,bot()))
   #28: # top(north(old(n),e,s,w)) -> # top(north(n,e,s,w))	[relative]
   #29: # top(east(n,bot(),old(s),w)) -> # top(south(n,bot(),old(s),w))
   #30: # top(west(n,e,old(s),new(w))) -> # top(north(n,e,old(s),w))
   #31: # top(north(new(n),e,old(s),w)) -> # top(east(n,e,old(s),w))
   #32: # top(north(old(n),e,s,w)) -> # top(east(n,e,s,w))
   #33: # top(east(n,new(e),s,old(w))) -> # top(south(n,e,s,old(w)))
   #34: # top(west(n,old(e),s,new(w))) -> # top(north(n,old(e),s,w))
   #35: # top(north(new(n),e,s,old(w))) -> # top(east(n,e,s,old(w)))
   #36: # top(north(bot(),e,old(s),w)) -> # top(east(bot(),e,old(s),w))
Number of SCCs: 1
  SCC { #1..36 }
    POLO(Sum)... removes: #18 #19 #28 #32
	I(new) = max(x1, 0)
	I(south) = max(x1 + x2, 0)
	I(top) = 0
	I(bot) = 1
	I(west) = max(x1 + x2, 0)
	I(north) = max(x1 + x2, 0)
	I(# top) = max(x1 + 1, 0)
	I(east) = max(x1 + x2, 0)
	I(old) = max(x1 + 1, 0)
Number of SCCs: 1
  SCC { #2..11 #13..17 #20..23 #25 #26 #29..31 #33..36 }
    POLO(Sum)... removes: #6 #22
	I(new) = max(x1, 0)
	I(south) = max(x2 + x3 - 3, 0)
	I(top) = 0
	I(bot) = 1
	I(west) = max(x2 + x3 - 3, 0)
	I(north) = max(x2 + x3 - 3, 0)
	I(# top) = max(x1 + 1, 0)
	I(east) = max(x2 + x3 - 3, 0)
	I(old) = max(x1 + 4, 0)
Number of SCCs: 1
  SCC { #2..5 #7..11 #13..15 #17 #20 #21 #23 #25 #26 #30 #31 #33..36 }
    POLO(Sum)... removes: #5 #25
	I(new) = max(x1, 0)
	I(south) = max(x1 + x4 + 1, 0)
	I(top) = 1
	I(bot) = 1
	I(west) = max(x1 + x4 + 1, 0)
	I(north) = max(x1 + x4 + 1, 0)
	I(# top) = max(x1 + 1, 0)
	I(east) = max(x1 + x4 + 1, 0)
	I(old) = max(x1 + 1, 0)
Number of SCCs: 1
  SCC { #2..4 #7..9 #11 #13 #15 #17 #20 #21 #23 #26 #30 #31 #33..36 }
    POLO(Sum)... QLPOS... QWPOpS(mSum)... Mat2b... removes: #4 #7 #8 #15 #20 #21 #23 #26 #30 #31 #33 #34 #35 #36
	I(new) = [1,1;1,1] * x1
	I(south) = [1,1;1,1] * x1 + [1,1;0,0] * x2 + [1,0;0,0] * x3 + [1,1;0,0] * x4 + [1;1]
	I(top) = [0;0]
	I(bot) = [0;0]
	I(west) = [1,0;0,0] * x1 + [0,1;1,1] * x2 + x3 + [1,1;0,0] * x4 + [4;1]
	I(north) = [1,0;0,0] * x1 + [0,1;1,1] * x2 + [1,0;0,0] * x3 + [1,1;0,0] * x4 + [3;1]
	I(# top) = [1,0;0,0] * x1
	I(east) = [1,1;0,0] * x1 + [0,1;0,0] * x2 + [1,0;1,0] * x3 + [1,1;0,0] * x4 + [2;1]
	I(old) = [1,1;0,0] * x1 + [9;3]
Number of SCCs: 4
  SCC { #11 }
    POLO(Sum)... QLPOS... QWPOpS(mSum)... Mat2b... failed.