MAYBE

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

Strict Trs:
  { a(b(x1)) -> b(b(a(x1)))
  , c(b(x1)) -> b(c(c(x1))) }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

We add following dependency tuples:

Strict DPs:
  { a^#(b(x1)) -> c_1(a^#(x1))
  , c^#(b(x1)) -> c_2(c^#(c(x1)), c^#(x1)) }

and mark the set of starting terms.

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

Strict DPs:
  { a^#(b(x1)) -> c_1(a^#(x1))
  , c^#(b(x1)) -> c_2(c^#(c(x1)), c^#(x1)) }
Weak Trs:
  { a(b(x1)) -> b(b(a(x1)))
  , c(b(x1)) -> b(c(c(x1))) }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

We replace rewrite rules by usable rules:

  Weak Usable Rules: { c(b(x1)) -> b(c(c(x1))) }

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

Strict DPs:
  { a^#(b(x1)) -> c_1(a^#(x1))
  , c^#(b(x1)) -> c_2(c^#(c(x1)), c^#(x1)) }
Weak Trs: { c(b(x1)) -> b(c(c(x1))) }
Obligation:
  innermost runtime complexity
Answer:
  MAYBE

None of the processors succeeded.

Details of failed attempt(s):
-----------------------------
1) 'matrices' 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) 'empty' failed due to the following reason:
   
   Empty strict component of the problem is NOT empty.


Arrrr..