Input TRS:
    1: a(c(d(x))) -> c(x)
    2: u(b(d(d(x)))) -> b(x)
    3: v(a(a(x))) -> u(v(x))
    4: v(a(c(x))) -> u(b(d(x)))
    5: v(c(x)) -> b(x)
    6: w(a(a(x))) -> u(w(x))
    7: w(a(c(x))) -> u(b(d(x)))
    8: w(c(x)) -> b(x)
Number of Rules: 8
Direct QWPOS(Sum) ... orients all.
	I(a) = x1 + 1	sigma(a) = [1]
	I(b) = x1	sigma(b) = [1]
	I(c) = x1 + 2	sigma(c) = [1]
	I(d) = x1 + 1	sigma(d) = [1]
	I(u) = x1	sigma(u) = [1]
	I(v) = x1	sigma(v) = [1]
	I(w) = x1	sigma(w) = [1]
    PREC: a > c = v = w > d = u > b
Number of Rules: 0