Input TRS:
    1: nthtail(n,l) -> cond(ge(n,length(l)),n,l)
    2: cond(true(),n,l) -> l
    3: cond(false(),n,l) -> tail(nthtail(s(n),l))
    4: tail(nil()) -> nil()
    5: tail(cons(x,l)) -> l
    6: length(nil()) -> 0()
    7: length(cons(x,l)) -> s(length(l))
    8: ge(u,0()) -> true()
    9: ge(0(),s(v)) -> false()
    10: ge(s(u),s(v)) -> ge(u,v)
Number of strict rules: 10
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #length(cons(x,l)) -> #length(l)
   #2: #ge(s(u),s(v)) -> #ge(u,v)
   #3: #cond(false(),n,l) -> #tail(nthtail(s(n),l))
   #4: #cond(false(),n,l) -> #nthtail(s(n),l)
   #5: #nthtail(n,l) -> #cond(ge(n,length(l)),n,l)
   #6: #nthtail(n,l) -> #ge(n,length(l))
   #7: #nthtail(n,l) -> #length(l)
Number of SCCs: 3, DPs: 4, edges: 4
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: 0
#nthtail(x1,x2)	weight: 0
nthtail(x1,x2)	weight: 0
 false()	weight: 0
  #ge(x1,x2)	weight: 0
  true()	weight: 0
  tail(x1)	weight: 0
#cond(x1,x2,x3)	weight: 0
     0()	weight: 0
    ge(x1,x2)	weight: 0
   nil()	weight: 0
#tail(x1)	weight: 0
  cons(x1,x2)	weight: (/ 1 2) + x2
length(x1)	weight: 0
#length(x1)	weight: x1
  cond(x1,x2,x3)	weight: 0
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 3, edges: 3
	SCC { #2 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
     s(x1)	weight: (/ 1 2) + x1
#nthtail(x1,x2)	weight: 0
nthtail(x1,x2)	weight: 0
 false()	weight: 0
  #ge(x1,x2)	weight: x2
  true()	weight: 0
  tail(x1)	weight: 0
#cond(x1,x2,x3)	weight: 0
     0()	weight: 0
    ge(x1,x2)	weight: 0
   nil()	weight: 0
#tail(x1)	weight: 0
  cons(x1,x2)	weight: (/ 1 2)
length(x1)	weight: 0
#length(x1)	weight: 0
  cond(x1,x2,x3)	weight: 0
    Usable rules: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 2, edges: 2
	SCC { #4 #5 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... QWPOpS(PosReal,>,MaxSum)... Order(PosReal,>,Sum-Sum; PosReal,≥,Sum-Sum)... Order(PosReal,>,Sum-Sum; NegReal,≥,Sum)... Order(PosReal,>,MaxSum-Sum; NegReal,≥,Sum)... failed.
Removing edges: failed.
Finding a loop...  failed.
MAYBE