Input TRS:
    1: f(s(x),y) -> f(x,s(x))
    2: f(x,s(y)) -> f(y,x)
    3: f(c(x),y) -> f(x,s(x))
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... removes: 1 3 2
     s(x1)	weight: (/ 1 4) + 2 * x1
     c(x1)	weight: (/ 30877 4) + 2 * x1
     f(x1,x2)	weight: 2 * x1 + x2
Number of strict rules: 0
YES