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