MAYBE

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

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