Input TRS:
    1: f(f(x,a()),a()) -> f(f(f(a(),f(a(),a())),a()),x)
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(f(x,a()),a()) -> #f(f(f(a(),f(a(),a())),a()),x)
   #2: #f(f(x,a()),a()) -> #f(f(a(),f(a(),a())),a())
   #3: #f(f(x,a()),a()) -> #f(a(),f(a(),a()))
   #4: #f(f(x,a()),a()) -> #f(a(),a())
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... succeeded.
     a()	weight: (/ 5 8)
     f(x1,x2)	weight: max{0, (- (/ 7 8)) + x2 + x1}
   #f(x1,x2)	weight: max{0, (- (/ 1 8)) + x2 + x1}
    Usable rules: { 1 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0, edges: 0
YES