MAYBE

We are left with following problem, upon which TcT provides the
certificate MAYBE.

Strict Trs:
  { #abs(#0()) -> #0()
  , #abs(#neg(@x)) -> #pos(@x)
  , #abs(#pos(@x)) -> #pos(@x)
  , #abs(#s(@x)) -> #pos(#s(@x))
  , #less(@x, @y) -> #cklt(#compare(@x, @y))
  , insert(@x, @l) -> insert#1(@l, @x)
  , insert#1(::(@y, @ys), @x) -> insert#2(#less(@y, @x), @x, @y, @ys)
  , insert#1(nil(), @x) -> ::(@x, nil())
  , insert#2(#false(), @x, @y, @ys) -> ::(@x, ::(@y, @ys))
  , insert#2(#true(), @x, @y, @ys) -> ::(@y, insert(@x, @ys))
  , insertD(@x, @l) -> insertD#1(@l, @x)
  , insertD#1(::(@y, @ys), @x) ->
    insertD#2(#less(@y, @x), @x, @y, @ys)
  , insertD#1(nil(), @x) -> ::(@x, nil())
  , insertD#2(#false(), @x, @y, @ys) -> ::(@x, ::(@y, @ys))
  , insertD#2(#true(), @x, @y, @ys) -> ::(@y, insertD(@x, @ys))
  , insertionsort(@l) -> insertionsort#1(@l)
  , insertionsort#1(::(@x, @xs)) -> insert(@x, insertionsort(@xs))
  , insertionsort#1(nil()) -> nil()
  , insertionsortD(@l) -> insertionsortD#1(@l)
  , insertionsortD#1(::(@x, @xs)) -> insertD(@x, insertionsortD(@xs))
  , insertionsortD#1(nil()) -> nil() }
Weak Trs:
  { #compare(#0(), #0()) -> #EQ()
  , #compare(#0(), #neg(@y)) -> #GT()
  , #compare(#0(), #pos(@y)) -> #LT()
  , #compare(#0(), #s(@y)) -> #LT()
  , #compare(#neg(@x), #0()) -> #LT()
  , #compare(#neg(@x), #neg(@y)) -> #compare(@y, @x)
  , #compare(#neg(@x), #pos(@y)) -> #LT()
  , #compare(#pos(@x), #0()) -> #GT()
  , #compare(#pos(@x), #neg(@y)) -> #GT()
  , #compare(#pos(@x), #pos(@y)) -> #compare(@x, @y)
  , #compare(#s(@x), #0()) -> #GT()
  , #compare(#s(@x), #s(@y)) -> #compare(@x, @y)
  , #cklt(#EQ()) -> #false()
  , #cklt(#GT()) -> #false()
  , #cklt(#LT()) -> #true() }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

None of the processors succeeded.

Details of failed attempt(s):
-----------------------------
1) 'Fastest' failed due to the following reason:
   
   None of the processors succeeded.
   
   Details of failed attempt(s):
   -----------------------------
   1) 'matrix interpretation of dimension 4' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   2) 'matrix interpretation of dimension 3' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   3) 'matrix interpretation of dimension 3' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   4) 'matrix interpretation of dimension 2' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   5) 'matrix interpretation of dimension 2' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   6) 'matrix interpretation of dimension 1' failed due to the
      following reason:
      
      The input cannot be shown compatible
   

2) 'Fastest' failed due to the following reason:
   
   None of the processors succeeded.
   
   Details of failed attempt(s):
   -----------------------------
   1) 'linear polynomial interpretation' failed due to the following
      reason:
      
      The input cannot be shown compatible
   
   2) 'custom shape polynomial interpretation' failed due to the
      following reason:
      
      The input cannot be shown compatible
   
   3) 'custom shape polynomial interpretation' failed due to the
      following reason:
      
      The input cannot be shown compatible
   


Arrrr..