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