Input TRS:
    1: tests(0()) -> true()
    2: tests(s(x)) -> and(test(rands(rand(0()),nil())),x)
    3: test(done(y)) -> eq(f(y),g(y))
    4: eq(x,x) -> true()
    5: rands(0(),y) -> done(y)
    6: rands(s(x),y) -> rands(x,::(rand(0()),y))
    7: rand(x) ->= x
    8: rand(x) ->= rand(s(x))
Number of strict rules: 6
Direct Order(PosReal,>,Poly) ... removes: 4 1 3 5 2
 rands(x1,x2)	weight: (/ 1 4) + x2 + x1
 tests(x1)	weight: (/ 417553 8) + x1
  test(x1)	weight: (/ 208773 4) + 2 * x1
     s(x1)	weight: x1
  done(x1)	weight: (/ 1 8) + x1
   and(x1,x2)	weight: x2 + x1
    eq(x1,x2)	weight: (/ 1 8) + x2 + x1
    ::(x1,x2)	weight: x2 + x1
  true()	weight: 0
  rand(x1)	weight: x1
     f(x1)	weight: (/ 417545 8) + x1
     0()	weight: 0
   nil()	weight: (/ 1 8)
     g(x1)	weight: (/ 1 8) + x1
Number of strict rules: 1
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #rands(s(x),y) -> #rands(x,::(rand(0()),y))
Number of SCCs: 1, DPs: 1, edges: 1
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... succeeded.
 rands(x1,x2)	weight: (/ 1 4) + x2	status: []	precedence above: 0
 tests(x1)	weight: x1	status: []	precedence above:
  test(x1)	weight: (/ 1 4)	status: []	precedence above:
     s(x1)	weight: x1	status: [x1]	precedence above: :: rand #rands 0
  done(x1)	weight: x1	status: []	precedence above:
   and(x1,x2)	weight: (/ 1 4) + x2 + x1	status: [x1,x2]	precedence above:
    eq(x1,x2)	weight: (/ 1 4) + x2 + x1	status: [x2,x1]	precedence above:
    ::(x1,x2)	weight: x2	status: []	precedence above: s rand #rands 0
  true()	weight: 0	status: []	precedence above:
  rand(x1)	weight: (/ 1 2) + x1	status: []	precedence above: s :: #rands 0
     f(x1)	weight: x1	status: []	precedence above:
#rands(x1,x2)	weight: x1	status: [x1]	precedence above: s :: rand 0
     0()	weight: 0	status: []	precedence above:
   nil()	weight: 0	status: []	precedence above:
     g(x1)	weight: x1	status: []	precedence above:
    Removed DPs: #1
Number of SCCs: 0, DPs: 0, edges: 0
YES