Input TRS:
    1: f(s(X)) -> f(X)
    2: g(cons(0(),Y)) -> g(Y)
    3: g(cons(s(X),Y)) -> s(X)
    4: h(cons(X,Y)) -> h(g(cons(X,Y)))
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... removes: 1 3 2
     h(x1)	weight: 2 * x1
     s(x1)	weight: (/ 1 4) + 2 * x1
     f(x1)	weight: x1
     0()	weight: 0
  cons(x1,x2)	weight: (/ 33461 4) + x1 + x2
     g(x1)	weight: x1
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing h
4: h❆1_cons(X,Y) -> h❆1_g(cons(X,Y))
5: h(cons(_1,_2)) ->= h❆1_cons(_1,_2)
6: h(g(_1)) ->= h❆1_g(_1)
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 4 5 6
     h(x1)	weight: (/ 1 2) + x1
     s(x1)	weight: x1
h❆1_cons(x1,x2)	weight: (/ 1 2) + 2 * x1 + 2 * x2
     f(x1)	weight: x1
     0()	weight: 0
  cons(x1,x2)	weight: (/ 1 4) + 2 * x1 + 2 * x2
h❆1_g(x1)	weight: x1
     g(x1)	weight: (/ 1 4) + x1
Number of strict rules: 0
YES