Input TRS:
    1: f(x,f(a(),y)) -> f(a(),f(f(f(a(),x),h(a())),y))
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(x,f(a(),y)) -> #f(a(),f(f(f(a(),x),h(a())),y))
   #2: #f(x,f(a(),y)) -> #f(f(f(a(),x),h(a())),y)
   #3: #f(x,f(a(),y)) -> #f(f(a(),x),h(a()))
   #4: #f(x,f(a(),y)) -> #f(a(),x)
Number of SCCs: 1, DPs: 3, edges: 9
	SCC { #1 #2 #4 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     h(x1)	weight: 0
     f(x1,x2)	weight: (/ 1 4) + x2
   #f(x1,x2)	weight: x1 + x2
    Usable rules: { 1 }
    Removed DPs: #4
Number of SCCs: 1, DPs: 2, edges: 4
	SCC { #1 #2 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     h(x1)	weight: (/ 1 4)
     f(x1,x2)	weight: (/ 1 4) + x2
   #f(x1,x2)	weight: x2
    Usable rules: { 1 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... succeeded.
     a()	weight: (/ 1 8); (/ 1 8)
     h(x1)	weight: x1_1 + x1_2; x1_1 + x1_2
     f(x1,x2)	weight: 0; (/ 1 8) + x2_2 + x1_1
   #f(x1,x2)	weight: x2_2; 0
    Usable rules: { 1 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0, edges: 0
YES