Input TRS:
    1: c(c(z,y,a()),a(),a()) -> b(z,y)
    2: f(c(x,y,z)) -> c(z,f(b(y,z)),a())
    3: b(z,b(c(a(),y,a()),f(f(x)))) -> c(c(y,a(),z),z,x)
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(c(x,y,z)) -> #c(z,f(b(y,z)),a())
   #2: #f(c(x,y,z)) -> #f(b(y,z))
   #3: #f(c(x,y,z)) -> #b(y,z)
   #4: #b(z,b(c(a(),y,a()),f(f(x)))) -> #c(c(y,a(),z),z,x)
   #5: #b(z,b(c(a(),y,a()),f(f(x)))) -> #c(y,a(),z)
   #6: #c(c(z,y,a()),a(),a()) -> #b(z,y)
Number of SCCs: 2, DPs: 4, edges: 5
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... succeeded.
     a()	weight: (/ 7 64)	status: []	precedence above:
     b(x1,x2)	weight: max{(/ 1 64) + x2, (/ 5 16) + x1}	status: [x2]	precedence above: c
     c(x1,x2,x3)	weight: max{(/ 3 64) + x3, (/ 5 16) + x2, (/ 1 4) + x1}	status: [x3,x1]	precedence above: b
     f(x1)	weight: (/ 1 32) + x1	status: [x1]	precedence above: a
   #f(x1)	weight: x1	status: [x1]	precedence above:
   #c(x1,x2,x3)	weight: max{0, (/ 1 64) + x1}	status: [x1]	precedence above:
   #b(x1,x2)	weight: 0	status: []	precedence above:
    Usable rules: { 1 3 }
    Removed DPs: #2
Number of SCCs: 1, DPs: 3, edges: 4
	SCC { #4..6 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     a()	weight: 0
     b(x1,x2)	weight: x1 + x2
     c(x1,x2,x3)	weight: (/ 1 4) + x1 + x2
     f(x1)	weight: (/ 1 4)
   #f(x1)	weight: 0
   #c(x1,x2,x3)	weight: x1
   #b(x1,x2)	weight: x2
    Usable rules: { 1 3 }
    Removed DPs: #4..6
Number of SCCs: 0, DPs: 0, edges: 0
YES