Input TRS:
    1: f(0(),y) -> 0()
    2: f(s(x),y) -> f(f(x,y),y)
    3: rand(x) ->= x
    4: rand(x) ->= rand(s(x))
Number of strict rules: 2
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #f(s(x),y) -> #f(f(x,y),y)
   #2: #f(s(x),y) -> #f(x,y)
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)... succeeded.
     s(x1)	weight: x1	status: [x1]	precedence above: f 0
     f(x1,x2)	weight: 0	status: []	precedence above: s 0
  rand(x1)	weight: (/ 1 4) + x1	status: []	precedence above:
     0()	weight: 0	status: []	precedence above:
   #f(x1,x2)	weight: x1	status: [x1]	precedence above:
    Removed DPs: #2
Number of SCCs: 0, DPs: 0, edges: 0
YES