MAYBE

Problem:
 a(a(a(x1))) -> b(x1)
 b(b(x1)) -> a(a(x1))
 a(a(x1)) -> a(b(a(x1)))

Proof:
 Complexity Transformation Processor:
  strict:
   a(a(a(x1))) -> b(x1)
   b(b(x1)) -> a(a(x1))
   a(a(x1)) -> a(b(a(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   max_matrix:
    1
    interpretation:
     [b](x0) = x0,
     
     [a](x0) = x0 + 1
    orientation:
     a(a(a(x1))) = x1 + 3 >= x1 = b(x1)
     
     b(b(x1)) = x1 >= x1 + 2 = a(a(x1))
     
     a(a(x1)) = x1 + 2 >= x1 + 2 = a(b(a(x1)))
    problem:
     strict:
      b(b(x1)) -> a(a(x1))
      a(a(x1)) -> a(b(a(x1)))
     weak:
      a(a(a(x1))) -> b(x1)
    Open