Input TRS:
    1: Tl(O(x),y) -> Wr(check(x),y)
    2: Tl(O(x),y) -> Wr(x,check(y))
    3: Tl(N(x),y) -> Wr(check(x),y)
    4: Tl(N(x),y) -> Wr(x,check(y))
    5: Tr(x,O(y)) -> Wl(check(x),y)
    6: Tr(x,O(y)) -> Wl(x,check(y))
    7: Tr(x,N(y)) -> Wl(check(x),y)
    8: Tr(x,N(y)) -> Wl(x,check(y))
    9: Tl(B(),y) -> Wr(check(B()),y)
    10: Tl(B(),y) -> Wr(B(),check(y))
    11: Tr(x,B()) -> Wl(check(x),B())
    12: Tr(x,B()) -> Wl(x,check(B()))
   e1: Tl(O(x),y) ->= Wl(check(x),y)	[relative]
   e2: Tl(O(x),y) ->= Wl(x,check(y))	[relative]
   e3: Tl(N(x),y) ->= Wl(check(x),y)	[relative]
   e4: Tl(N(x),y) ->= Wl(x,check(y))	[relative]
   e5: Tr(x,O(y)) ->= Wr(check(x),y)	[relative]
   e6: Tr(x,O(y)) ->= Wr(x,check(y))	[relative]
   e7: Tr(x,N(y)) ->= Wr(check(x),y)	[relative]
   e8: Tr(x,N(y)) ->= Wr(x,check(y))	[relative]
   e9: B() ->= N(B())	[relative]
   e10: check(O(x)) ->= ok(O(x))	[relative]
   e11: Wl(ok(x),y) ->= Tl(x,y)	[relative]
   e12: Wl(x,ok(y)) ->= Tl(x,y)	[relative]
   e13: Wr(ok(x),y) ->= Tr(x,y)	[relative]
   e14: Wr(x,ok(y)) ->= Tr(x,y)	[relative]
   e15: check(O(x)) ->= O(check(x))	[relative]
   e16: check(N(x)) ->= N(check(x))	[relative]
   e17: O(ok(x)) ->= ok(O(x))	[relative]
   e18: N(ok(x)) ->= ok(N(x))	[relative]
Number of Rules: 12
Direct POLO(Sum) ... removes: 1 5 6 2 e6 e2 e5 e1
	I(Tl) = x1 + x2
	I(O) = x1 + 1
	I(B) = 0
	I(check) = x1
	I(ok) = x1
	I(Tr) = x1 + x2
	I(Wr) = x1 + x2
	I(N) = x1
	I(Wl) = x1 + x2
Number of Rules: 8
Direct POLO(Sum) ...Direct Mat2b ... removes: 9
	I(Tl) = [1,1;0,0] * x1 + [1,0;0,0] * x2 + [1;0]
	I(O) = [1,0;0,0] * x1 + [1;0]
	I(B) = [1;1]
	I(check) = [1,0;0,0] * x1 + [1;0]
	I(ok) = x1 + [1;0]
	I(Tr) = [1,1;0,0] * x1 + [1,0;0,0] * x2 + [1;0]
	I(Wr) = [1,1;0,0] * x1 + [1,0;0,0] * x2
	I(N) = x1
	I(Wl) = [1,1;0,0] * x1 + [1,0;0,0] * x2
Number of Rules: 7
Direct POLO(Sum) ...Direct Mat2b ... removes: 12
	I(Tl) = [2,1;0,0] * x1 + [2,1;0,0] * x2 + [2;0]
	I(O) = [1,0;0,0] * x1 + [1;0]
	I(B) = [1;1]
	I(check) = [1,0;0,0] * x1 + [1;0]
	I(ok) = x1 + [1;0]
	I(Tr) = [2,1;0,0] * x1 + [2,1;0,0] * x2 + [2;0]
	I(Wr) = [2,1;0,0] * x1 + [2,1;0,0] * x2
	I(N) = x1
	I(Wl) = [2,1;0,0] * x1 + [2,1;0,0] * x2
Number of Rules: 6
Direct POLO(Sum) ...Direct Mat2b ... failed.
Dependency Pairs:
   #1: # Wr(x,ok(y)) -> # Tr(x,y)	[relative]
   #2: # Tr(x,B()) -> # Wl(check(x),B())
   #3: # Tr(x,N(y)) -> # Wr(x,check(y))	[relative]
   #4: # Tl(N(x),y) -> # Wl(check(x),y)	[relative]
   #5: # Tr(x,N(y)) -> # Wl(check(x),y)
   #6: # Tl(B(),y) -> # Wr(B(),check(y))
   #7: # Wl(x,ok(y)) -> # Tl(x,y)	[relative]
   #8: # Wl(ok(x),y) -> # Tl(x,y)	[relative]
   #9: # Wr(ok(x),y) -> # Tr(x,y)	[relative]
   #10: # Tl(N(x),y) -> # Wr(check(x),y)
   #11: # Tr(x,N(y)) -> # Wl(x,check(y))
   #12: # Tr(x,N(y)) -> # Wr(check(x),y)	[relative]
   #13: # Tl(N(x),y) -> # Wr(x,check(y))
   #14: # Tl(N(x),y) -> # Wl(x,check(y))	[relative]
Number of SCCs: 1
  SCC { #1..14 }
    POLO(Sum)... QLPOS... QWPOpS(mSum)... Mat2b... failed.