MAYBE

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

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