Input TRS:
    1: f(g(f(x))) -> f(g(g(g(f(x)))))
    2: g(x) ->= g(g(x))
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(g(f(x))) -> #f(g(g(g(f(x)))))
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... succeeded.
     f(x1)	weight: (max (/ 5 4) 0)
   #f(x1)	weight: max{0, (- (/ 1 4)) + x1}
     g(x1)	weight: max{0, (- (/ 3 4)) + x1}
    Removed DPs: #1
Number of SCCs: 0, DPs: 0, edges: 0
YES