Input TRS:
    1: f(c(X,s(Y))) -> f(c(s(X),Y))
    2: g(c(s(X),Y)) -> f(c(X,s(Y)))
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... removes: 2
     s(x1)	weight: (/ 1 8) + x1
     c(x1,x2)	weight: x1 + x2
     f(x1)	weight: x1
     g(x1)	weight: (/ 1 8) + x1
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 1
     s(x1)	weight: (/ 1 4) + x1
     c(x1,x2)	weight: 5853 + x1 + 2 * x2
     f(x1)	weight: x1
     g(x1)	weight: (/ 1 2) + x1
Number of strict rules: 0
YES