Input TRS:
    1: f(0(),y) -> y
    2: f(x,0()) -> x
    3: f(i(x),y) -> i(x)
    4: f(f(x,y),z) -> f(x,f(y,z))
    5: f(g(x,y),z) -> g(f(x,z),f(y,z))
    6: f(1(),g(x,y)) -> x
    7: f(2(),g(x,y)) -> y
Number of strict rules: 7
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(g(x,y),z) -> #f(x,z)
   #2: #f(g(x,y),z) -> #f(y,z)
   #3: #f(f(x,y),z) -> #f(x,f(y,z))
   #4: #f(f(x,y),z) -> #f(y,z)
Number of SCCs: 1, DPs: 4, edges: 16
	SCC { #1..4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     1()	weight: 0
     f(x1,x2)	weight: (/ 1 4) + x1 + x2
     0()	weight: 0
   #f(x1,x2)	weight: x1
     i(x1)	weight: (/ 1 4)
     2()	weight: 0
     g(x1,x2)	weight: (/ 1 4) + x1 + x2
    Usable rules: { }
    Removed DPs: #1..4
Number of SCCs: 0, DPs: 0, edges: 0
YES