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