Input TRS:
    1: a(f(),a(f(),a(g(),a(g(),x)))) -> a(g(),a(g(),a(g(),a(f(),a(f(),a(f(),x))))))
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing a
1: a❆1_f(a❆1_f(a❆1_g(a❆1_g(x)))) -> a❆1_g(a❆1_g(a❆1_g(a❆1_f(a❆1_f(a❆1_f(x))))))
2: a(g(),_1) ->= a❆1_g(_1)
3: a(f(),_1) ->= a❆1_f(_1)
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 3 2
     a(x1,x2)	weight: (/ 1 2) + x1 + x2
a❆1_f(x1)	weight: x1
a❆1_g(x1)	weight: x1
     f()	weight: 0
     g()	weight: 0
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Dependency Pairs:
   #1: #a❆1_f(a❆1_f(a❆1_g(a❆1_g(x)))) -> #a❆1_f(a❆1_f(a❆1_f(x)))
   #2: #a❆1_f(a❆1_f(a❆1_g(a❆1_g(x)))) -> #a❆1_f(a❆1_f(x))
   #3: #a❆1_f(a❆1_f(a❆1_g(a❆1_g(x)))) -> #a❆1_f(x)
Number of SCCs: 1, DPs: 3, edges: 9
	SCC { #1..3 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed.
Removing edges: failed.
Finding a loop...  failed.
MAYBE