Input TRS:
    1: f(b(a(),z)) -> z
    2: b(y,b(a(),z)) -> b(f(c(y,y,a())),b(f(z),a()))
    3: f(f(f(c(z,x,a())))) -> b(f(x),z)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #b(y,b(a(),z)) -> #b(f(c(y,y,a())),b(f(z),a()))
   #2: #b(y,b(a(),z)) -> #f(c(y,y,a()))
   #3: #b(y,b(a(),z)) -> #b(f(z),a())
   #4: #b(y,b(a(),z)) -> #f(z)
   #5: #f(f(f(c(z,x,a())))) -> #b(f(x),z)
   #6: #f(f(f(c(z,x,a())))) -> #f(x)
Number of SCCs: 1, DPs: 4, edges: 8
	SCC { #1 #4..6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     b(x1,x2)	weight: (/ 1 2) + x2
     c(x1,x2,x3)	weight: x1 + x2
     f(x1)	weight: (/ 1 8) + x1
   #f(x1)	weight: (/ 3 8) + x1
   #b(x1,x2)	weight: x2
    Usable rules: { }
    Removed DPs: #4..6
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: 0; (/ 1 8)
     b(x1,x2)	weight: x2_1 + x2_2 + x1_2; (/ 1 8) + x2_1 + x1_2
     c(x1,x2,x3)	weight: x2_2; (/ 1 8) + x2_1 + x2_2 + x1_1 + x1_2
     f(x1)	weight: (/ 1 8) + x1_1 + x1_2; x1_1
   #f(x1)	weight: 0; 0
   #b(x1,x2)	weight: x2_1 + x2_2; x2_2
    Usable rules: { 1..3 }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0, edges: 0
YES