Input TRS:
    1: f(a(),b()) -> f(a(),c())
    2: f(c(),d()) -> f(b(),d())
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing f
1: f❆1_a(b()) -> f❆1_a(c())
2: f❆1_c(d()) -> f❆1_b(d())
3: f(a(),_1) ->= f❆1_a(_1)
4: f(c(),_1) ->= f❆1_c(_1)
5: f(b(),_1) ->= f❆1_b(_1)
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... removes: 4 3 5 2
     a()	weight: 0
     d()	weight: 0
     b()	weight: 0
     c()	weight: 0
f❆1_c(x1)	weight: (/ 1 4) + x1
     f(x1,x2)	weight: (/ 1 2) + x1 + x2
f❆1_b(x1)	weight: x1
f❆1_a(x1)	weight: x1
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #f❆1_a(b()) -> #f❆1_a(c())
Number of SCCs: 0, DPs: 0, edges: 0
YES