Input TRS:
    1: f(j(x,y),y) -> g(f(x,k(y)))
    2: f(x,h1(y,z)) -> h2(0(),x,h1(y,z))
    3: g(h2(x,y,h1(z,u))) -> h2(s(x),y,h1(z,u))
    4: h2(x,j(y,h1(z,u)),h1(z,u)) -> h2(s(x),y,h1(s(z),u))
    5: i(f(x,h(y))) -> y
    6: i(h2(s(x),y,h1(x,z))) -> z
    7: k(h(x)) -> h1(0(),x)
    8: k(h1(x,y)) -> h1(s(x),y)
Number of Rules: 8
Direct QWPOS(mSum) ... orients all.
	I(0) = 1
	I(f) = x1 + x2 + 2	sigma(f) = [2,1]
	I(g) = x1 + 2	sigma(g) = [1]
	I(h) = x1	sigma(h) = [1]
	I(i) = x1	sigma(i) = [1]
	I(j) = x1 + x2 + 9	sigma(j) = [2,1]
	I(k) = x1 + 4	sigma(k) = [1]
	I(s) = x1 + 1	sigma(s) = [1]
	I(h1) = x1 + x2 + 2	sigma(h1) = [1,2]
	I(h2) = x1 + x2 + x3	sigma(h2) = [3,1,2]
    PREC: j > g = i > 0 = h1 > f = h > k = h2 > s
Number of Rules: 0