Input TRS:
    1: top(ok(U(x,y))) -> top(check(D(x,y)))
    2: D(x,B()) -> U(x,B())
    3: F(x,U(O(y),z)) -> U(x,F(y,z))
    4: F(x,U(N(y),z)) -> U(x,F(y,z))
    5: D(O(x),F(y,z)) -> F(x,D(y,z))
    6: D(N(x),F(y,z)) -> F(x,D(y,z))
    7: F(x,U(E(),y)) -> U(x,F(E(),y))
    8: D(E(),F(x,y)) -> F(E(),D(x,y))
   e1: U(O(x),y) ->= U(x,y)	[relative]
   e2: U(N(x),y) ->= U(x,y)	[relative]
   e3: D(O(x),y) ->= D(x,y)	[relative]
   e4: D(N(x),y) ->= D(x,y)	[relative]
   e5: E() ->= N(E())	[relative]
   e6: check(O(x)) ->= ok(O(x))	[relative]
   e7: check(U(x,y)) ->= U(check(x),y)	[relative]
   e8: check(U(x,y)) ->= U(x,check(y))	[relative]
   e9: check(D(x,y)) ->= D(check(x),y)	[relative]
   e10: check(D(x,y)) ->= D(x,check(y))	[relative]
   e11: check(F(x,y)) ->= F(check(x),y)	[relative]
   e12: check(F(x,y)) ->= F(x,check(y))	[relative]
   e13: check(O(x)) ->= O(check(x))	[relative]
   e14: check(N(x)) ->= N(check(x))	[relative]
   e15: U(ok(x),y) ->= ok(U(x,y))	[relative]
   e16: U(x,ok(y)) ->= ok(U(x,y))	[relative]
   e17: D(ok(x),y) ->= ok(D(x,y))	[relative]
   e18: D(x,ok(y)) ->= ok(D(x,y))	[relative]
   e19: F(ok(x),y) ->= ok(F(x,y))	[relative]
   e20: F(x,ok(y)) ->= ok(F(x,y))	[relative]
   e21: O(ok(x)) ->= ok(O(x))	[relative]
   e22: N(ok(x)) ->= ok(N(x))	[relative]
Number of Rules: 8
Direct Mat3b ... removes: 3 5 e3 e1
	I(F) = [2,0,0;0,0,0;0,0,0] * x1 + [1,0,0;0,0,1;0,1,0] * x2 + [1;0;0]
	I(top) = [1,0,0;0,0,0;0,0,0] * x1
	I(E) = [1;1;1]
	I(D) = [2,0,0;0,0,0;0,0,0] * x1 + [1,0,0;0,0,1;0,1,0] * x2 + [1;2;2]
	I(O) = [1,0,0;0,0,0;1,0,0] * x1 + [1;4;0]
	I(B) = [1;1;0]
	I(check) = [1,0,0;0,1,1;0,1,1] * x1 + [0;1;1]
	I(ok) = x1
	I(N) = [1,0,0;0,0,0;0,0,0] * x1 + [0;1;1]
	I(U) = [2,0,0;0,0,0;0,0,0] * x1 + [1,0,0;0,1,1;0,1,1] * x2 + [1;1;1]
Number of Rules: 6
Direct Mat3b ...