Input TRS:
    1: f(a()) -> f(c(a()))
    2: f(c(X)) -> X
    3: f(c(a())) -> f(d(b()))
    4: f(a()) -> f(d(a()))
    5: f(d(X)) -> X
    6: f(c(b())) -> f(d(a()))
    7: e(g(X)) -> e(X)
Number of strict rules: 7
Direct Order(PosReal,>,Poly) ... removes: 5 7 2
     a()	weight: 0
     d(x1)	weight: x1
     b()	weight: 0
     c(x1)	weight: x1
     f(x1)	weight: (/ 1 4) + x1
     e(x1)	weight: 2 * x1
     g(x1)	weight: (/ 1 4) + x1
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Freezing f
1: f❆1_a() -> f❆1_c(a())
3: f❆1_c(a()) -> f❆1_d(b())
4: f❆1_a() -> f❆1_d(a())
6: f❆1_c(b()) -> f❆1_d(a())
8: f(a()) ->= f❆1_a()
9: f(d(_1)) ->= f❆1_d(_1)
10: f(c(_1)) ->= f❆1_c(_1)
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... removes: 8 10 9
     a()	weight: 0
     d(x1)	weight: (/ 30877 4) + x1
     b()	weight: 0
     c(x1)	weight: (/ 1 4) + x1
f❆1_c(x1)	weight: x1
     f(x1)	weight: (/ 1 4) + 2 * x1
     e(x1)	weight: x1
f❆1_d(x1)	weight: x1
f❆1_a()	weight: 0
     g(x1)	weight: x1
Number of strict rules: 4
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #f❆1_a() -> #f❆1_c(a())
Number of SCCs: 0, DPs: 0, edges: 0
YES