MAYBE

Problem:
 a__dbl(0()) -> 0()
 a__dbl(s(X)) -> s(s(dbl(X)))
 a__dbls(nil()) -> nil()
 a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y))
 a__sel(0(),cons(X,Y)) -> mark(X)
 a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
 a__indx(nil(),X) -> nil()
 a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z))
 a__from(X) -> cons(X,from(s(X)))
 a__dbl1(0()) -> 01()
 a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
 a__sel1(0(),cons(X,Y)) -> mark(X)
 a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
 a__quote(0()) -> 01()
 a__quote(s(X)) -> s1(a__quote(mark(X)))
 a__quote(dbl(X)) -> a__dbl1(mark(X))
 a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y))
 mark(dbl(X)) -> a__dbl(mark(X))
 mark(dbls(X)) -> a__dbls(mark(X))
 mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
 mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
 mark(from(X)) -> a__from(X)
 mark(dbl1(X)) -> a__dbl1(mark(X))
 mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
 mark(quote(X)) -> a__quote(mark(X))
 mark(0()) -> 0()
 mark(s(X)) -> s(X)
 mark(nil()) -> nil()
 mark(cons(X1,X2)) -> cons(X1,X2)
 mark(01()) -> 01()
 mark(s1(X)) -> s1(mark(X))
 a__dbl(X) -> dbl(X)
 a__dbls(X) -> dbls(X)
 a__sel(X1,X2) -> sel(X1,X2)
 a__indx(X1,X2) -> indx(X1,X2)
 a__from(X) -> from(X)
 a__dbl1(X) -> dbl1(X)
 a__sel1(X1,X2) -> sel1(X1,X2)
 a__quote(X) -> quote(X)

Proof:
 DP Processor:
  DPs:
   a__sel#(0(),cons(X,Y)) -> mark#(X)
   a__sel#(s(X),cons(Y,Z)) -> mark#(Z)
   a__sel#(s(X),cons(Y,Z)) -> mark#(X)
   a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z))
   a__dbl1#(s(X)) -> mark#(X)
   a__dbl1#(s(X)) -> a__dbl1#(mark(X))
   a__sel1#(0(),cons(X,Y)) -> mark#(X)
   a__sel1#(s(X),cons(Y,Z)) -> mark#(Z)
   a__sel1#(s(X),cons(Y,Z)) -> mark#(X)
   a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z))
   a__quote#(s(X)) -> mark#(X)
   a__quote#(s(X)) -> a__quote#(mark(X))
   a__quote#(dbl(X)) -> mark#(X)
   a__quote#(dbl(X)) -> a__dbl1#(mark(X))
   a__quote#(sel(X,Y)) -> mark#(Y)
   a__quote#(sel(X,Y)) -> mark#(X)
   a__quote#(sel(X,Y)) -> a__sel1#(mark(X),mark(Y))
   mark#(dbl(X)) -> mark#(X)
   mark#(dbl(X)) -> a__dbl#(mark(X))
   mark#(dbls(X)) -> mark#(X)
   mark#(dbls(X)) -> a__dbls#(mark(X))
   mark#(sel(X1,X2)) -> mark#(X2)
   mark#(sel(X1,X2)) -> mark#(X1)
   mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
   mark#(indx(X1,X2)) -> mark#(X1)
   mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
   mark#(from(X)) -> a__from#(X)
   mark#(dbl1(X)) -> mark#(X)
   mark#(dbl1(X)) -> a__dbl1#(mark(X))
   mark#(sel1(X1,X2)) -> mark#(X2)
   mark#(sel1(X1,X2)) -> mark#(X1)
   mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
   mark#(quote(X)) -> mark#(X)
   mark#(quote(X)) -> a__quote#(mark(X))
   mark#(s1(X)) -> mark#(X)
  TRS:
   a__dbl(0()) -> 0()
   a__dbl(s(X)) -> s(s(dbl(X)))
   a__dbls(nil()) -> nil()
   a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y))
   a__sel(0(),cons(X,Y)) -> mark(X)
   a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
   a__indx(nil(),X) -> nil()
   a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z))
   a__from(X) -> cons(X,from(s(X)))
   a__dbl1(0()) -> 01()
   a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
   a__sel1(0(),cons(X,Y)) -> mark(X)
   a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
   a__quote(0()) -> 01()
   a__quote(s(X)) -> s1(a__quote(mark(X)))
   a__quote(dbl(X)) -> a__dbl1(mark(X))
   a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y))
   mark(dbl(X)) -> a__dbl(mark(X))
   mark(dbls(X)) -> a__dbls(mark(X))
   mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
   mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
   mark(from(X)) -> a__from(X)
   mark(dbl1(X)) -> a__dbl1(mark(X))
   mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
   mark(quote(X)) -> a__quote(mark(X))
   mark(0()) -> 0()
   mark(s(X)) -> s(X)
   mark(nil()) -> nil()
   mark(cons(X1,X2)) -> cons(X1,X2)
   mark(01()) -> 01()
   mark(s1(X)) -> s1(mark(X))
   a__dbl(X) -> dbl(X)
   a__dbls(X) -> dbls(X)
   a__sel(X1,X2) -> sel(X1,X2)
   a__indx(X1,X2) -> indx(X1,X2)
   a__from(X) -> from(X)
   a__dbl1(X) -> dbl1(X)
   a__sel1(X1,X2) -> sel1(X1,X2)
   a__quote(X) -> quote(X)
  TDG Processor:
   DPs:
    a__sel#(0(),cons(X,Y)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z))
    a__dbl1#(s(X)) -> mark#(X)
    a__dbl1#(s(X)) -> a__dbl1#(mark(X))
    a__sel1#(0(),cons(X,Y)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z))
    a__quote#(s(X)) -> mark#(X)
    a__quote#(s(X)) -> a__quote#(mark(X))
    a__quote#(dbl(X)) -> mark#(X)
    a__quote#(dbl(X)) -> a__dbl1#(mark(X))
    a__quote#(sel(X,Y)) -> mark#(Y)
    a__quote#(sel(X,Y)) -> mark#(X)
    a__quote#(sel(X,Y)) -> a__sel1#(mark(X),mark(Y))
    mark#(dbl(X)) -> mark#(X)
    mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(dbls(X)) -> mark#(X)
    mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(sel(X1,X2)) -> mark#(X2)
    mark#(sel(X1,X2)) -> mark#(X1)
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    mark#(indx(X1,X2)) -> mark#(X1)
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(from(X)) -> a__from#(X)
    mark#(dbl1(X)) -> mark#(X)
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    mark#(quote(X)) -> mark#(X)
    mark#(quote(X)) -> a__quote#(mark(X))
    mark#(s1(X)) -> mark#(X)
   TRS:
    a__dbl(0()) -> 0()
    a__dbl(s(X)) -> s(s(dbl(X)))
    a__dbls(nil()) -> nil()
    a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y))
    a__sel(0(),cons(X,Y)) -> mark(X)
    a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
    a__indx(nil(),X) -> nil()
    a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z))
    a__from(X) -> cons(X,from(s(X)))
    a__dbl1(0()) -> 01()
    a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
    a__sel1(0(),cons(X,Y)) -> mark(X)
    a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
    a__quote(0()) -> 01()
    a__quote(s(X)) -> s1(a__quote(mark(X)))
    a__quote(dbl(X)) -> a__dbl1(mark(X))
    a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y))
    mark(dbl(X)) -> a__dbl(mark(X))
    mark(dbls(X)) -> a__dbls(mark(X))
    mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
    mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
    mark(from(X)) -> a__from(X)
    mark(dbl1(X)) -> a__dbl1(mark(X))
    mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
    mark(quote(X)) -> a__quote(mark(X))
    mark(0()) -> 0()
    mark(s(X)) -> s(X)
    mark(nil()) -> nil()
    mark(cons(X1,X2)) -> cons(X1,X2)
    mark(01()) -> 01()
    mark(s1(X)) -> s1(mark(X))
    a__dbl(X) -> dbl(X)
    a__dbls(X) -> dbls(X)
    a__sel(X1,X2) -> sel(X1,X2)
    a__indx(X1,X2) -> indx(X1,X2)
    a__from(X) -> from(X)
    a__dbl1(X) -> dbl1(X)
    a__sel1(X1,X2) -> sel1(X1,X2)
    a__quote(X) -> quote(X)
   graph:
    a__quote#(sel(X,Y)) -> a__sel1#(mark(X),mark(Y)) ->
    a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z))
    a__quote#(sel(X,Y)) -> a__sel1#(mark(X),mark(Y)) ->
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X)
    a__quote#(sel(X,Y)) -> a__sel1#(mark(X),mark(Y)) ->
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z)
    a__quote#(sel(X,Y)) -> a__sel1#(mark(X),mark(Y)) ->
    a__sel1#(0(),cons(X,Y)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(Y) -> mark#(s1(X)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    a__quote#(sel(X,Y)) -> mark#(Y) -> mark#(quote(X)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__quote#(sel(X,Y)) -> mark#(Y) -> mark#(dbl1(X)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(Y) -> mark#(from(X)) -> a__from#(X)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    a__quote#(sel(X,Y)) -> mark#(Y) -> mark#(dbls(X)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(Y) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    a__quote#(sel(X,Y)) -> mark#(Y) -> mark#(dbl(X)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(X) -> mark#(s1(X)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    a__quote#(sel(X,Y)) -> mark#(X) -> mark#(quote(X)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__quote#(sel(X,Y)) -> mark#(X) -> mark#(dbl1(X)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(X) -> mark#(from(X)) -> a__from#(X)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    a__quote#(sel(X,Y)) -> mark#(X) -> mark#(dbls(X)) -> mark#(X)
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    a__quote#(sel(X,Y)) -> mark#(X) ->
    mark#(dbl(X)) -> mark#(X)
    a__quote#(dbl(X)) -> a__dbl1#(mark(X)) ->
    a__dbl1#(s(X)) -> a__dbl1#(mark(X))
    a__quote#(dbl(X)) -> a__dbl1#(mark(X)) ->
    a__dbl1#(s(X)) -> mark#(X)
    a__quote#(dbl(X)) -> mark#(X) -> mark#(s1(X)) -> mark#(X)
    a__quote#(dbl(X)) -> mark#(X) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    a__quote#(dbl(X)) -> mark#(X) -> mark#(quote(X)) -> mark#(X)
    a__quote#(dbl(X)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__quote#(dbl(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X1)
    a__quote#(dbl(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X2)
    a__quote#(dbl(X)) -> mark#(X) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__quote#(dbl(X)) -> mark#(X) -> mark#(dbl1(X)) -> mark#(X)
    a__quote#(dbl(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(X)
    a__quote#(dbl(X)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__quote#(dbl(X)) -> mark#(X) -> mark#(indx(X1,X2)) -> mark#(X1)
    a__quote#(dbl(X)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__quote#(dbl(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1)
    a__quote#(dbl(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2)
    a__quote#(dbl(X)) -> mark#(X) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    a__quote#(dbl(X)) -> mark#(X) -> mark#(dbls(X)) -> mark#(X)
    a__quote#(dbl(X)) -> mark#(X) -> mark#(dbl(X)) -> a__dbl#(mark(X))
    a__quote#(dbl(X)) -> mark#(X) -> mark#(dbl(X)) -> mark#(X)
    a__quote#(s(X)) -> a__quote#(mark(X)) ->
    a__quote#(sel(X,Y)) -> a__sel1#(mark(X),mark(Y))
    a__quote#(s(X)) -> a__quote#(mark(X)) ->
    a__quote#(sel(X,Y)) -> mark#(X)
    a__quote#(s(X)) -> a__quote#(mark(X)) ->
    a__quote#(sel(X,Y)) -> mark#(Y)
    a__quote#(s(X)) -> a__quote#(mark(X)) ->
    a__quote#(dbl(X)) -> a__dbl1#(mark(X))
    a__quote#(s(X)) -> a__quote#(mark(X)) ->
    a__quote#(dbl(X)) -> mark#(X)
    a__quote#(s(X)) -> a__quote#(mark(X)) ->
    a__quote#(s(X)) -> a__quote#(mark(X))
    a__quote#(s(X)) -> a__quote#(mark(X)) -> a__quote#(s(X)) -> mark#(X)
    a__quote#(s(X)) -> mark#(X) -> mark#(s1(X)) -> mark#(X)
    a__quote#(s(X)) -> mark#(X) -> mark#(quote(X)) -> a__quote#(mark(X))
    a__quote#(s(X)) -> mark#(X) -> mark#(quote(X)) -> mark#(X)
    a__quote#(s(X)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__quote#(s(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X1)
    a__quote#(s(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X2)
    a__quote#(s(X)) -> mark#(X) -> mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__quote#(s(X)) -> mark#(X) -> mark#(dbl1(X)) -> mark#(X)
    a__quote#(s(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(X)
    a__quote#(s(X)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__quote#(s(X)) -> mark#(X) -> mark#(indx(X1,X2)) -> mark#(X1)
    a__quote#(s(X)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__quote#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1)
    a__quote#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2)
    a__quote#(s(X)) -> mark#(X) -> mark#(dbls(X)) -> a__dbls#(mark(X))
    a__quote#(s(X)) -> mark#(X) -> mark#(dbls(X)) -> mark#(X)
    a__quote#(s(X)) -> mark#(X) -> mark#(dbl(X)) -> a__dbl#(mark(X))
    a__quote#(s(X)) -> mark#(X) ->
    mark#(dbl(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z)) ->
    a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z))
    a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z)) ->
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z)) ->
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z)
    a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z)) ->
    a__sel1#(0(),cons(X,Y)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(s1(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(quote(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbl1(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(from(X)) -> a__from#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbls(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
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    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbl(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(s1(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(quote(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbl1(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(from(X)) -> a__from#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
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    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbls(X)) -> mark#(X)
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbl(X)) -> mark#(X)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(s1(X)) -> mark#(X)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(quote(X)) -> mark#(X)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbl1(X)) -> mark#(X)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(from(X)) -> a__from#(X)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbls(X)) -> mark#(X)
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    a__sel1#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbl(X)) -> mark#(X)
    a__dbl1#(s(X)) -> a__dbl1#(mark(X)) ->
    a__dbl1#(s(X)) -> a__dbl1#(mark(X))
    a__dbl1#(s(X)) -> a__dbl1#(mark(X)) -> a__dbl1#(s(X)) -> mark#(X)
    a__dbl1#(s(X)) -> mark#(X) -> mark#(s1(X)) -> mark#(X)
    a__dbl1#(s(X)) -> mark#(X) -> mark#(quote(X)) -> a__quote#(mark(X))
    a__dbl1#(s(X)) -> mark#(X) -> mark#(quote(X)) -> mark#(X)
    a__dbl1#(s(X)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__dbl1#(s(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X1)
    a__dbl1#(s(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X2)
    a__dbl1#(s(X)) -> mark#(X) -> mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__dbl1#(s(X)) -> mark#(X) -> mark#(dbl1(X)) -> mark#(X)
    a__dbl1#(s(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(X)
    a__dbl1#(s(X)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__dbl1#(s(X)) -> mark#(X) -> mark#(indx(X1,X2)) -> mark#(X1)
    a__dbl1#(s(X)) -> mark#(X) ->
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    a__dbl1#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1)
    a__dbl1#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2)
    a__dbl1#(s(X)) -> mark#(X) -> mark#(dbls(X)) -> a__dbls#(mark(X))
    a__dbl1#(s(X)) -> mark#(X) -> mark#(dbls(X)) -> mark#(X)
    a__dbl1#(s(X)) -> mark#(X) -> mark#(dbl(X)) -> a__dbl#(mark(X))
    a__dbl1#(s(X)) -> mark#(X) -> mark#(dbl(X)) -> mark#(X)
    mark#(quote(X)) -> a__quote#(mark(X)) ->
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    mark#(quote(X)) -> a__quote#(mark(X)) ->
    a__quote#(sel(X,Y)) -> mark#(X)
    mark#(quote(X)) -> a__quote#(mark(X)) ->
    a__quote#(sel(X,Y)) -> mark#(Y)
    mark#(quote(X)) -> a__quote#(mark(X)) ->
    a__quote#(dbl(X)) -> a__dbl1#(mark(X))
    mark#(quote(X)) -> a__quote#(mark(X)) ->
    a__quote#(dbl(X)) -> mark#(X)
    mark#(quote(X)) -> a__quote#(mark(X)) ->
    a__quote#(s(X)) -> a__quote#(mark(X))
    mark#(quote(X)) -> a__quote#(mark(X)) -> a__quote#(s(X)) -> mark#(X)
    mark#(quote(X)) -> mark#(X) -> mark#(s1(X)) -> mark#(X)
    mark#(quote(X)) -> mark#(X) -> mark#(quote(X)) -> a__quote#(mark(X))
    mark#(quote(X)) -> mark#(X) -> mark#(quote(X)) -> mark#(X)
    mark#(quote(X)) -> mark#(X) ->
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    mark#(quote(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(quote(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(quote(X)) -> mark#(X) -> mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(quote(X)) -> mark#(X) -> mark#(dbl1(X)) -> mark#(X)
    mark#(quote(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(X)
    mark#(quote(X)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(quote(X)) -> mark#(X) -> mark#(indx(X1,X2)) -> mark#(X1)
    mark#(quote(X)) -> mark#(X) ->
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    mark#(quote(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1)
    mark#(quote(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2)
    mark#(quote(X)) -> mark#(X) -> mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(quote(X)) -> mark#(X) -> mark#(dbls(X)) -> mark#(X)
    mark#(quote(X)) -> mark#(X) -> mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(quote(X)) -> mark#(X) ->
    mark#(dbl(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2)) ->
    a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z))
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2)) ->
    a__sel1#(s(X),cons(Y,Z)) -> mark#(X)
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2)) ->
    a__sel1#(s(X),cons(Y,Z)) -> mark#(Z)
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2)) ->
    a__sel1#(0(),cons(X,Y)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X2) -> mark#(s1(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    mark#(sel1(X1,X2)) -> mark#(X2) -> mark#(quote(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(sel1(X1,X2)) -> mark#(X2) -> mark#(dbl1(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> a__from#(X)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(sel1(X1,X2)) -> mark#(X2) -> mark#(dbls(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X2) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(sel1(X1,X2)) -> mark#(X2) -> mark#(dbl(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X1) -> mark#(s1(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    mark#(sel1(X1,X2)) -> mark#(X1) -> mark#(quote(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(sel1(X1,X2)) -> mark#(X1) -> mark#(dbl1(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> a__from#(X)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(sel1(X1,X2)) -> mark#(X1) -> mark#(dbls(X)) -> mark#(X)
    mark#(sel1(X1,X2)) -> mark#(X1) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(sel1(X1,X2)) -> mark#(X1) -> mark#(dbl(X)) -> mark#(X)
    mark#(dbl1(X)) -> a__dbl1#(mark(X)) ->
    a__dbl1#(s(X)) -> a__dbl1#(mark(X))
    mark#(dbl1(X)) -> a__dbl1#(mark(X)) -> a__dbl1#(s(X)) -> mark#(X)
    mark#(dbl1(X)) -> mark#(X) -> mark#(s1(X)) -> mark#(X)
    mark#(dbl1(X)) -> mark#(X) -> mark#(quote(X)) -> a__quote#(mark(X))
    mark#(dbl1(X)) -> mark#(X) -> mark#(quote(X)) -> mark#(X)
    mark#(dbl1(X)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    mark#(dbl1(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(dbl1(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(dbl1(X)) -> mark#(X) -> mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(dbl1(X)) -> mark#(X) -> mark#(dbl1(X)) -> mark#(X)
    mark#(dbl1(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(X)
    mark#(dbl1(X)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(dbl1(X)) -> mark#(X) -> mark#(indx(X1,X2)) -> mark#(X1)
    mark#(dbl1(X)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    mark#(dbl1(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1)
    mark#(dbl1(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2)
    mark#(dbl1(X)) -> mark#(X) -> mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(dbl1(X)) -> mark#(X) -> mark#(dbls(X)) -> mark#(X)
    mark#(dbl1(X)) -> mark#(X) -> mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(dbl1(X)) -> mark#(X) -> mark#(dbl(X)) -> mark#(X)
    mark#(s1(X)) -> mark#(X) -> mark#(s1(X)) -> mark#(X)
    mark#(s1(X)) -> mark#(X) -> mark#(quote(X)) -> a__quote#(mark(X))
    mark#(s1(X)) -> mark#(X) -> mark#(quote(X)) -> mark#(X)
    mark#(s1(X)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    mark#(s1(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(s1(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(s1(X)) -> mark#(X) -> mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(s1(X)) -> mark#(X) -> mark#(dbl1(X)) -> mark#(X)
    mark#(s1(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(X)
    mark#(s1(X)) -> mark#(X) -> mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(s1(X)) -> mark#(X) -> mark#(indx(X1,X2)) -> mark#(X1)
    mark#(s1(X)) -> mark#(X) ->
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    mark#(s1(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1)
    mark#(s1(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2)
    mark#(s1(X)) -> mark#(X) -> mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(s1(X)) -> mark#(X) -> mark#(dbls(X)) -> mark#(X)
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    mark#(s1(X)) -> mark#(X) -> mark#(dbl(X)) -> mark#(X)
    mark#(indx(X1,X2)) -> mark#(X1) -> mark#(s1(X)) -> mark#(X)
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    mark#(indx(X1,X2)) -> mark#(X1) -> mark#(quote(X)) -> mark#(X)
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    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(indx(X1,X2)) -> mark#(X1) -> mark#(dbl1(X)) -> mark#(X)
    mark#(indx(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> a__from#(X)
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(indx(X1,X2)) -> mark#(X1) -> mark#(dbls(X)) -> mark#(X)
    mark#(indx(X1,X2)) -> mark#(X1) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(indx(X1,X2)) -> mark#(X1) -> mark#(dbl(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(s1(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X2) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quote(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X2) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(sel(X1,X2)) -> mark#(X2) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(dbl1(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> a__from#(X)
    mark#(sel(X1,X2)) -> mark#(X2) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(indx(X1,X2)) -> mark#(X1)
    mark#(sel(X1,X2)) -> mark#(X2) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1)
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2)
    mark#(sel(X1,X2)) -> mark#(X2) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(dbls(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X2) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(sel(X1,X2)) -> mark#(X2) -> mark#(dbl(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(s1(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X1) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quote(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X1) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(sel(X1,X2)) -> mark#(X1) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(dbl1(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> a__from#(X)
    mark#(sel(X1,X2)) -> mark#(X1) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(indx(X1,X2)) -> mark#(X1)
    mark#(sel(X1,X2)) -> mark#(X1) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1)
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2)
    mark#(sel(X1,X2)) -> mark#(X1) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(sel(X1,X2)) -> mark#(X1) -> mark#(dbls(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> mark#(X1) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(sel(X1,X2)) -> mark#(X1) ->
    mark#(dbl(X)) -> mark#(X)
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2)) ->
    a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z))
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2)) ->
    a__sel#(s(X),cons(Y,Z)) -> mark#(X)
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2)) ->
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z)
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2)) ->
    a__sel#(0(),cons(X,Y)) -> mark#(X)
    mark#(dbls(X)) -> mark#(X) -> mark#(s1(X)) -> mark#(X)
    mark#(dbls(X)) -> mark#(X) -> mark#(quote(X)) -> a__quote#(mark(X))
    mark#(dbls(X)) -> mark#(X) -> mark#(quote(X)) -> mark#(X)
    mark#(dbls(X)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    mark#(dbls(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(dbls(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(dbls(X)) -> mark#(X) -> mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(dbls(X)) -> mark#(X) -> mark#(dbl1(X)) -> mark#(X)
    mark#(dbls(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(X)
    mark#(dbls(X)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(dbls(X)) -> mark#(X) -> mark#(indx(X1,X2)) -> mark#(X1)
    mark#(dbls(X)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    mark#(dbls(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1)
    mark#(dbls(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2)
    mark#(dbls(X)) -> mark#(X) -> mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(dbls(X)) -> mark#(X) -> mark#(dbls(X)) -> mark#(X)
    mark#(dbls(X)) -> mark#(X) -> mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(dbls(X)) -> mark#(X) -> mark#(dbl(X)) -> mark#(X)
    mark#(dbl(X)) -> mark#(X) -> mark#(s1(X)) -> mark#(X)
    mark#(dbl(X)) -> mark#(X) -> mark#(quote(X)) -> a__quote#(mark(X))
    mark#(dbl(X)) -> mark#(X) -> mark#(quote(X)) -> mark#(X)
    mark#(dbl(X)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    mark#(dbl(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X1)
    mark#(dbl(X)) -> mark#(X) -> mark#(sel1(X1,X2)) -> mark#(X2)
    mark#(dbl(X)) -> mark#(X) -> mark#(dbl1(X)) -> a__dbl1#(mark(X))
    mark#(dbl(X)) -> mark#(X) -> mark#(dbl1(X)) -> mark#(X)
    mark#(dbl(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(X)
    mark#(dbl(X)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    mark#(dbl(X)) -> mark#(X) -> mark#(indx(X1,X2)) -> mark#(X1)
    mark#(dbl(X)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    mark#(dbl(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1)
    mark#(dbl(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2)
    mark#(dbl(X)) -> mark#(X) -> mark#(dbls(X)) -> a__dbls#(mark(X))
    mark#(dbl(X)) -> mark#(X) -> mark#(dbls(X)) -> mark#(X)
    mark#(dbl(X)) -> mark#(X) -> mark#(dbl(X)) -> a__dbl#(mark(X))
    mark#(dbl(X)) -> mark#(X) -> mark#(dbl(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(s1(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(quote(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbl1(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(from(X)) -> a__from#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbls(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z) ->
    mark#(dbl(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(s1(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(quote(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbl1(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(from(X)) -> a__from#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbls(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    a__sel#(s(X),cons(Y,Z)) -> mark#(X) ->
    mark#(dbl(X)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z)) ->
    a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z))
    a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z)) ->
    a__sel#(s(X),cons(Y,Z)) -> mark#(X)
    a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z)) ->
    a__sel#(s(X),cons(Y,Z)) -> mark#(Z)
    a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z)) ->
    a__sel#(0(),cons(X,Y)) -> mark#(X)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(s1(X)) -> mark#(X)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(quote(X)) -> a__quote#(mark(X))
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(quote(X)) -> mark#(X)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X1)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel1(X1,X2)) -> mark#(X2)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbl1(X)) -> a__dbl1#(mark(X))
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbl1(X)) -> mark#(X)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(from(X)) -> a__from#(X)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(indx(X1,X2)) -> mark#(X1)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X1)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(sel(X1,X2)) -> mark#(X2)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbls(X)) -> a__dbls#(mark(X))
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbls(X)) -> mark#(X)
    a__sel#(0(),cons(X,Y)) -> mark#(X) ->
    mark#(dbl(X)) -> a__dbl#(mark(X))
    a__sel#(0(),cons(X,Y)) -> mark#(X) -> mark#(dbl(X)) -> mark#(X)
   Restore Modifier:
    DPs:
     a__sel#(0(),cons(X,Y)) -> mark#(X)
     a__sel#(s(X),cons(Y,Z)) -> mark#(Z)
     a__sel#(s(X),cons(Y,Z)) -> mark#(X)
     a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z))
     a__dbl1#(s(X)) -> mark#(X)
     a__dbl1#(s(X)) -> a__dbl1#(mark(X))
     a__sel1#(0(),cons(X,Y)) -> mark#(X)
     a__sel1#(s(X),cons(Y,Z)) -> mark#(Z)
     a__sel1#(s(X),cons(Y,Z)) -> mark#(X)
     a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z))
     a__quote#(s(X)) -> mark#(X)
     a__quote#(s(X)) -> a__quote#(mark(X))
     a__quote#(dbl(X)) -> mark#(X)
     a__quote#(dbl(X)) -> a__dbl1#(mark(X))
     a__quote#(sel(X,Y)) -> mark#(Y)
     a__quote#(sel(X,Y)) -> mark#(X)
     a__quote#(sel(X,Y)) -> a__sel1#(mark(X),mark(Y))
     mark#(dbl(X)) -> mark#(X)
     mark#(dbl(X)) -> a__dbl#(mark(X))
     mark#(dbls(X)) -> mark#(X)
     mark#(dbls(X)) -> a__dbls#(mark(X))
     mark#(sel(X1,X2)) -> mark#(X2)
     mark#(sel(X1,X2)) -> mark#(X1)
     mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
     mark#(indx(X1,X2)) -> mark#(X1)
     mark#(indx(X1,X2)) -> a__indx#(mark(X1),X2)
     mark#(from(X)) -> a__from#(X)
     mark#(dbl1(X)) -> mark#(X)
     mark#(dbl1(X)) -> a__dbl1#(mark(X))
     mark#(sel1(X1,X2)) -> mark#(X2)
     mark#(sel1(X1,X2)) -> mark#(X1)
     mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
     mark#(quote(X)) -> mark#(X)
     mark#(quote(X)) -> a__quote#(mark(X))
     mark#(s1(X)) -> mark#(X)
    TRS:
     a__dbl(0()) -> 0()
     a__dbl(s(X)) -> s(s(dbl(X)))
     a__dbls(nil()) -> nil()
     a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y))
     a__sel(0(),cons(X,Y)) -> mark(X)
     a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
     a__indx(nil(),X) -> nil()
     a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z))
     a__from(X) -> cons(X,from(s(X)))
     a__dbl1(0()) -> 01()
     a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
     a__sel1(0(),cons(X,Y)) -> mark(X)
     a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
     a__quote(0()) -> 01()
     a__quote(s(X)) -> s1(a__quote(mark(X)))
     a__quote(dbl(X)) -> a__dbl1(mark(X))
     a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y))
     mark(dbl(X)) -> a__dbl(mark(X))
     mark(dbls(X)) -> a__dbls(mark(X))
     mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
     mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
     mark(from(X)) -> a__from(X)
     mark(dbl1(X)) -> a__dbl1(mark(X))
     mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
     mark(quote(X)) -> a__quote(mark(X))
     mark(0()) -> 0()
     mark(s(X)) -> s(X)
     mark(nil()) -> nil()
     mark(cons(X1,X2)) -> cons(X1,X2)
     mark(01()) -> 01()
     mark(s1(X)) -> s1(mark(X))
     a__dbl(X) -> dbl(X)
     a__dbls(X) -> dbls(X)
     a__sel(X1,X2) -> sel(X1,X2)
     a__indx(X1,X2) -> indx(X1,X2)
     a__from(X) -> from(X)
     a__dbl1(X) -> dbl1(X)
     a__sel1(X1,X2) -> sel1(X1,X2)
     a__quote(X) -> quote(X)
    SCC Processor:
     #sccs: 1
     #rules: 31
     #arcs: 418/1225
     DPs:
      a__quote#(sel(X,Y)) -> a__sel1#(mark(X),mark(Y))
      a__sel1#(0(),cons(X,Y)) -> mark#(X)
      mark#(dbl(X)) -> mark#(X)
      mark#(dbls(X)) -> mark#(X)
      mark#(sel(X1,X2)) -> mark#(X2)
      mark#(sel(X1,X2)) -> mark#(X1)
      mark#(sel(X1,X2)) -> a__sel#(mark(X1),mark(X2))
      a__sel#(0(),cons(X,Y)) -> mark#(X)
      mark#(indx(X1,X2)) -> mark#(X1)
      mark#(dbl1(X)) -> mark#(X)
      mark#(dbl1(X)) -> a__dbl1#(mark(X))
      a__dbl1#(s(X)) -> mark#(X)
      mark#(sel1(X1,X2)) -> mark#(X2)
      mark#(sel1(X1,X2)) -> mark#(X1)
      mark#(sel1(X1,X2)) -> a__sel1#(mark(X1),mark(X2))
      a__sel1#(s(X),cons(Y,Z)) -> mark#(Z)
      mark#(quote(X)) -> mark#(X)
      mark#(quote(X)) -> a__quote#(mark(X))
      a__quote#(s(X)) -> mark#(X)
      mark#(s1(X)) -> mark#(X)
      a__quote#(s(X)) -> a__quote#(mark(X))
      a__quote#(dbl(X)) -> mark#(X)
      a__quote#(dbl(X)) -> a__dbl1#(mark(X))
      a__dbl1#(s(X)) -> a__dbl1#(mark(X))
      a__quote#(sel(X,Y)) -> mark#(Y)
      a__quote#(sel(X,Y)) -> mark#(X)
      a__sel1#(s(X),cons(Y,Z)) -> mark#(X)
      a__sel1#(s(X),cons(Y,Z)) -> a__sel1#(mark(X),mark(Z))
      a__sel#(s(X),cons(Y,Z)) -> mark#(Z)
      a__sel#(s(X),cons(Y,Z)) -> mark#(X)
      a__sel#(s(X),cons(Y,Z)) -> a__sel#(mark(X),mark(Z))
     TRS:
      a__dbl(0()) -> 0()
      a__dbl(s(X)) -> s(s(dbl(X)))
      a__dbls(nil()) -> nil()
      a__dbls(cons(X,Y)) -> cons(dbl(X),dbls(Y))
      a__sel(0(),cons(X,Y)) -> mark(X)
      a__sel(s(X),cons(Y,Z)) -> a__sel(mark(X),mark(Z))
      a__indx(nil(),X) -> nil()
      a__indx(cons(X,Y),Z) -> cons(sel(X,Z),indx(Y,Z))
      a__from(X) -> cons(X,from(s(X)))
      a__dbl1(0()) -> 01()
      a__dbl1(s(X)) -> s1(s1(a__dbl1(mark(X))))
      a__sel1(0(),cons(X,Y)) -> mark(X)
      a__sel1(s(X),cons(Y,Z)) -> a__sel1(mark(X),mark(Z))
      a__quote(0()) -> 01()
      a__quote(s(X)) -> s1(a__quote(mark(X)))
      a__quote(dbl(X)) -> a__dbl1(mark(X))
      a__quote(sel(X,Y)) -> a__sel1(mark(X),mark(Y))
      mark(dbl(X)) -> a__dbl(mark(X))
      mark(dbls(X)) -> a__dbls(mark(X))
      mark(sel(X1,X2)) -> a__sel(mark(X1),mark(X2))
      mark(indx(X1,X2)) -> a__indx(mark(X1),X2)
      mark(from(X)) -> a__from(X)
      mark(dbl1(X)) -> a__dbl1(mark(X))
      mark(sel1(X1,X2)) -> a__sel1(mark(X1),mark(X2))
      mark(quote(X)) -> a__quote(mark(X))
      mark(0()) -> 0()
      mark(s(X)) -> s(X)
      mark(nil()) -> nil()
      mark(cons(X1,X2)) -> cons(X1,X2)
      mark(01()) -> 01()
      mark(s1(X)) -> s1(mark(X))
      a__dbl(X) -> dbl(X)
      a__dbls(X) -> dbls(X)
      a__sel(X1,X2) -> sel(X1,X2)
      a__indx(X1,X2) -> indx(X1,X2)
      a__from(X) -> from(X)
      a__dbl1(X) -> dbl1(X)
      a__sel1(X1,X2) -> sel1(X1,X2)
      a__quote(X) -> quote(X)
     Open