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 strict rules: 8
Direct Order(PosReal,>,Poly) ... removes: 4 8 1 3 5 7 6 2
     a(x1)	weight: (/ 86621 4) + x1
     d(x1)	weight: x1
     v(x1)	weight: (/ 127565 4) + 2 * x1
     b(x1)	weight: (/ 1 4) + x1
     u(x1)	weight: (/ 1 4) + x1
     w(x1)	weight: (/ 1 4) + x1
     c(x1)	weight: (/ 3 4) + x1
Number of strict rules: 0
YES