Input TRS:
    1: a(x,y) -> b(x,b(|0|(),c(y)))
    2: c(b(y,c(x))) -> c(c(b(a(|0|(),|0|()),y)))
    3: b(y,|0|()) -> y
Number of strict rules: 3
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #c(b(y,c(x))) -> #c(c(b(a(|0|(),|0|()),y)))
   #2: #c(b(y,c(x))) -> #c(b(a(|0|(),|0|()),y))
   #3: #c(b(y,c(x))) -> #b(a(|0|(),|0|()),y)
   #4: #c(b(y,c(x))) -> #a(|0|(),|0|())
   #5: #a(x,y) -> #b(x,b(|0|(),c(y)))
   #6: #a(x,y) -> #b(|0|(),c(y))
   #7: #a(x,y) -> #c(y)
Number of SCCs: 1, DPs: 3, edges: 5
	SCC { #2 #4 #7 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
     a(x1,x2)	weight: 30613 + x1
     b(x1,x2)	weight: x1 + x2
     c(x1)	weight: 30613
   #c(x1)	weight: x1
   #a(x1,x2)	weight: (/ 1 2) + x2
   #b(x1,x2)	weight: 0
    Usable rules: { 1..3 }
    Removed DPs: #4 #7
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... succeeded.
   |0|()	weight: (/ 1 16); (/ 1 16)
     a(x1,x2)	weight: (/ 1 16) + x2_1 + x1_1; (/ 1 8) + x2_1 + x1_2
     b(x1,x2)	weight: (/ 1 16) + x1_1; x2_1 + x1_2
     c(x1)	weight: (/ 1 2); (/ 1 16)
   #c(x1)	weight: x1_1 + x1_2; 0
   #a(x1,x2)	weight: 0; 0
   #b(x1,x2)	weight: 0; 0
    Usable rules: { 1..3 }
    Removed DPs: #2
Number of SCCs: 0, DPs: 0, edges: 0
YES