Input TRS:
    1: f(a(),f(a(),f(b(),f(x,y)))) -> f(b(),f(c(),f(b(),f(a(),f(a(),f(a(),f(x,y)))))))
    2: f(a(),f(c(),f(x,y))) -> f(b(),f(x,y))
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(a(),f(c(),f(x,y))) -> #f(b(),f(x,y))
   #2: #f(a(),f(a(),f(b(),f(x,y)))) -> #f(b(),f(c(),f(b(),f(a(),f(a(),f(a(),f(x,y)))))))
   #3: #f(a(),f(a(),f(b(),f(x,y)))) -> #f(c(),f(b(),f(a(),f(a(),f(a(),f(x,y))))))
   #4: #f(a(),f(a(),f(b(),f(x,y)))) -> #f(b(),f(a(),f(a(),f(a(),f(x,y)))))
   #5: #f(a(),f(a(),f(b(),f(x,y)))) -> #f(a(),f(a(),f(a(),f(x,y))))
   #6: #f(a(),f(a(),f(b(),f(x,y)))) -> #f(a(),f(a(),f(x,y)))
   #7: #f(a(),f(a(),f(b(),f(x,y)))) -> #f(a(),f(x,y))
Number of SCCs: 1, DPs: 3, edges: 9
	SCC { #5..7 }
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