Input TRS:
    1: f(s(x),y) -> f(x,s(s(x)))
    2: f(x,s(s(y))) -> f(y,x)
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(x,s(s(y))) -> #f(y,x)
   #2: #f(s(x),y) -> #f(x,s(s(x)))
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #1 #2 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded.
     s(x1)	weight: (/ 1 4) + x1
     f(x1,x2)	weight: 0
   #f(x1,x2)	weight: max{(/ 1 4) + x2, (/ 1 2) + x1}
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 4) + x1
     f(x1,x2)	weight: 0
   #f(x1,x2)	weight: x1
    Usable rules: { }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0, edges: 0
YES