Input TRS:
    1: f(a(),f(a(),f(b(),f(a(),f(a(),f(b(),f(a(),x))))))) -> f(a(),f(b(),f(a(),f(a(),f(b(),f(a(),f(a(),f(a(),f(b(),x)))))))))
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing f
1: f❆1_a(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_b(f❆1_a(x))))))) -> f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_a(f❆1_b(x)))))))))
2: f(a(),_1) ->= f❆1_a(_1)
3: f(b(),_1) ->= f❆1_b(_1)
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... removes: 3 2
     a()	weight: 0
     b()	weight: 0
     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(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_b(f❆1_a(x))))))) -> #f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_a(f❆1_b(x)))))))))
   #2: #f❆1_a(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_b(f❆1_a(x))))))) -> #f❆1_a(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_a(f❆1_b(x)))))))
   #3: #f❆1_a(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_b(f❆1_a(x))))))) -> #f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_a(f❆1_b(x))))))
   #4: #f❆1_a(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_b(f❆1_a(x))))))) -> #f❆1_a(f❆1_a(f❆1_a(f❆1_b(x))))
   #5: #f❆1_a(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_b(f❆1_a(x))))))) -> #f❆1_a(f❆1_a(f❆1_b(x)))
   #6: #f❆1_a(f❆1_a(f❆1_b(f❆1_a(f❆1_a(f❆1_b(f❆1_a(x))))))) -> #f❆1_a(f❆1_b(x))
Number of SCCs: 1, DPs: 3, edges: 9
	SCC { #2 #4 #5 }
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