Input TRS:
    1: half(|0|()) -> |0|()
    2: half(s(|0|())) -> |0|()
    3: half(s(s(x))) -> s(half(x))
    4: lastbit(|0|()) -> |0|()
    5: lastbit(s(|0|())) -> s(|0|())
    6: lastbit(s(s(x))) -> lastbit(x)
    7: zero(|0|()) -> true()
    8: zero(s(x)) -> false()
    9: conv(x) -> conviter(x,cons(|0|(),nil()))
    10: conviter(x,l) -> if(zero(x),x,l)
    11: if(true(),x,l) -> l
    12: if(false(),x,l) -> conviter(half(x),cons(lastbit(x),l))
Number of strict rules: 12
Direct Order(PosReal,>,Poly) ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #lastbit(s(s(x))) -> #lastbit(x)
   #2: #conv(x) -> #conviter(x,cons(|0|(),nil()))
   #3: #if(false(),x,l) -> #conviter(half(x),cons(lastbit(x),l))
   #4: #if(false(),x,l) -> #half(x)
   #5: #if(false(),x,l) -> #lastbit(x)
   #6: #conviter(x,l) -> #if(zero(x),x,l)
   #7: #conviter(x,l) -> #zero(x)
   #8: #half(s(s(x))) -> #half(x)
Number of SCCs: 3, DPs: 4, edges: 4
	SCC { #1 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
  zero(x1)	weight: 0
  conv(x1)	weight: 0
     s(x1)	weight: (/ 1 4) + x1
#conv(x1)	weight: 0
 false()	weight: 0
#half(x1)	weight: 0
#lastbit(x1)	weight: x1
  true()	weight: 0
  half(x1)	weight: 0
lastbit(x1)	weight: 0
#conviter(x1,x2)	weight: 0
    if(x1,x2,x3)	weight: 0
conviter(x1,x2)	weight: 0
   nil()	weight: 0
  cons(x1,x2)	weight: 0
  #if(x1,x2,x3)	weight: 0
#zero(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 3, edges: 3
	SCC { #8 }
Removing DPs: Order(PosReal,>,Sum)... succeeded.
   |0|()	weight: 0
  zero(x1)	weight: 0
  conv(x1)	weight: 0
     s(x1)	weight: (/ 1 4) + x1
#conv(x1)	weight: 0
 false()	weight: 0
#half(x1)	weight: x1
#lastbit(x1)	weight: 0
  true()	weight: 0
  half(x1)	weight: 0
lastbit(x1)	weight: 0
#conviter(x1,x2)	weight: 0
    if(x1,x2,x3)	weight: 0
conviter(x1,x2)	weight: 0
   nil()	weight: 0
  cons(x1,x2)	weight: 0
  #if(x1,x2,x3)	weight: 0
#zero(x1)	weight: 0
    Usable rules: { }
    Removed DPs: #8
Number of SCCs: 1, DPs: 2, edges: 2
	SCC { #3 #6 }
Removing DPs: Order(PosReal,>,Sum)... Order(PosReal,>,Max)... QLPOpS... Order(PosReal,>,MaxSum)... succeeded.
   |0|()	weight: 0
  zero(x1)	weight: max{0, (/ 1 4) + x1}
  conv(x1)	weight: 0
     s(x1)	weight: max{0, (/ 3 2) + x1}
#conv(x1)	weight: 0
 false()	weight: (/ 7 4)
#half(x1)	weight: 0
#lastbit(x1)	weight: 0
  true()	weight: (/ 1 4)
  half(x1)	weight: max{0, (- (/ 5 4)) + x1}
lastbit(x1)	weight: (max (/ 3 2) 0)
#conviter(x1,x2)	weight: max{0, (/ 3 4) + x1, (- (/ 1 4)) + x2}
    if(x1,x2,x3)	weight: 0
conviter(x1,x2)	weight: 0
   nil()	weight: 0
  cons(x1,x2)	weight: max{0, (/ 1 2) + x1}
  #if(x1,x2,x3)	weight: max{0, (/ 1 4) + x1, (- (/ 1 2)) + x2}
#zero(x1)	weight: 0
    Usable rules: { 1..8 }
    Removed DPs: #6
Number of SCCs: 0, DPs: 0, edges: 0
YES