MAYBE

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

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