Input TRS:
    1: b(b(y,z),c(a(),a(),a())) -> f(c(z,y,z))
    2: f(b(b(a(),z),c(a(),x,y))) -> z
    3: c(y,x,f(z)) -> b(f(b(z,x)),z)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(y,x,f(z)) -> #b(f(b(z,x)),z)
   #2: #c(y,x,f(z)) -> #f(b(z,x))
   #3: #c(y,x,f(z)) -> #b(z,x)
   #4: #b(b(y,z),c(a(),a(),a())) -> #f(c(z,y,z))
   #5: #b(b(y,z),c(a(),a(),a())) -> #c(z,y,z)
Number of SCCs: 1, DPs: 3, edges: 4
	SCC { #1 #3 #5 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... succeeded.
     a()	weight: (/ 1 2)
     b(x1,x2)	weight: max{(/ 42479 2) + x2, (/ 42479 2) + x1}
     c(x1,x2,x3)	weight: max{0, 42479 + x3, 42479 + x2}
     f(x1)	weight: x1
   #f(x1)	weight: 0
   #c(x1,x2,x3)	weight: max{0, 21240 + x3, 21240 + x2}
   #b(x1,x2)	weight: max{0, (/ 1 2) + x1}
    Usable rules: { 1..3 }
    Removed DPs: #3
Number of SCCs: 1, DPs: 2, edges: 2
	SCC { #1 #5 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... succeeded.
     a()	weight: 0
     b(x1,x2)	weight: max{0, (/ 7 16) + x1, (/ 13 16) + x2}
     c(x1,x2,x3)	weight: max{0, (/ 5 8) + x1, (/ 23 16) + x2, (/ 3 2) + x3}
     f(x1)	weight: max{0, (- (/ 9 16)) + x1}
   #f(x1)	weight: 0
   #c(x1,x2,x3)	weight: max{0, (/ 5 16) + x2, (/ 11 16) + x3}
   #b(x1,x2)	weight: max{0, (/ 1 16) + x1}
    Usable rules: { 1..3 }
    Removed DPs: #5
Number of SCCs: 0, DPs: 0, edges: 0
YES