Input TRS:
    1: f(c(a(),z,x)) -> b(a(),z)
    2: b(x,b(z,y)) -> f(b(f(f(z)),c(x,z,y)))
    3: b(y,z) -> z
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(x,b(z,y)) -> #f(b(f(f(z)),c(x,z,y)))
   #2: #b(x,b(z,y)) -> #b(f(f(z)),c(x,z,y))
   #3: #b(x,b(z,y)) -> #f(f(z))
   #4: #b(x,b(z,y)) -> #f(z)
   #5: #f(c(a(),z,x)) -> #b(a(),z)
Number of SCCs: 1, DPs: 4, edges: 6
	SCC { #1 #3..5 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded.
     a()	weight: 0
     b(x1,x2)	weight: max{(/ 3 16) + x2, (/ 5 8) + x1}
     c(x1,x2,x3)	weight: max{(/ 1 16) + x3, (/ 9 16) + x2, (/ 1 4) + x1}
     f(x1)	weight: (/ 1 16) + x1
   #f(x1)	weight: x1
   #b(x1,x2)	weight: max{(/ 3 16) + x2, (/ 1 2) + x1}
    Usable rules: { 1..3 }
    Removed DPs: #1 #3..5
Number of SCCs: 0, DPs: 0, edges: 0
YES