Input TRS:
    1: a(f(),a(f(),x)) -> a(x,x)
    2: a(h(),x) -> a(f(),a(g(),a(f(),x)))
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing a
1: a❆1_f(a❆1_f(x)) -> a(x,x)
2: a❆1_h(x) -> a❆1_f(a❆1_g(a❆1_f(x)))
3: a(h(),_1) ->= a❆1_h(_1)
4: a(g(),_1) ->= a❆1_g(_1)
5: a(f(),_1) ->= a❆1_f(_1)
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #a❆1_h(x) -> #a❆1_f(a❆1_g(a❆1_f(x)))
   #2: #a❆1_h(x) -> #a❆1_f(x)
   #3: #a(f(),_1) ->? #a❆1_f(_1)
   #4: #a(h(),_1) ->? #a❆1_h(_1)
   #5: #a❆1_f(a❆1_f(x)) -> #a(x,x)
Number of SCCs: 1, DPs: 4, edges: 5
	SCC { #2..5 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a(x1,x2)	weight: 0
     h()	weight: 0
a❆1_f(x1)	weight: (/ 3 4) + x1
a❆1_g(x1)	weight: 0
     f()	weight: 0
a❆1_h(x1)	weight: 0
   #a(x1,x2)	weight: (/ 1 2) + x2
#a❆1_f(x1)	weight: x1
     g()	weight: 0
#a❆1_h(x1)	weight: (/ 1 4) + x1
    Usable rules: { }
    Removed DPs: #2..5
Number of SCCs: 0, DPs: 0, edges: 0
YES