Input TRS:
    1: f(x,y) -> f(x,x)
    2: f(s(x),y) -> f(y,x)
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(s(x),y) -> #f(y,x)
   #2: #f(x,y) -> #f(x,x)
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #1 #2 }
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...  found.
  #f(x_{1},y)	-#2->
  #f(x_{1},x_{1})	--->*
  #f(x_{1},x_{1})
  Looping with: [ y := x_{1}; x_{1} := x_{1}; ]
NO