MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(a(x1)) -> a(b(a(b(x1))))
   b(b(b(b(x1)))) -> a(x1)
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 8,
    
    [a](x0) = x0
   orientation:
    a(x1) = x1 >= x1 = x1
    
    a(a(x1)) = x1 >= x1 + 16 = a(b(a(b(x1))))
    
    b(b(b(b(x1)))) = x1 + 32 >= x1 = a(x1)
   problem:
    strict:
     a(x1) -> x1
     a(a(x1)) -> a(b(a(b(x1))))
    weak:
     b(b(b(b(x1)))) -> a(x1)
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = x0 + 4,
     
     [a](x0) = x0 + 2
    orientation:
     a(x1) = x1 + 2 >= x1 = x1
     
     a(a(x1)) = x1 + 4 >= x1 + 12 = a(b(a(b(x1))))
     
     b(b(b(b(x1)))) = x1 + 16 >= x1 + 2 = a(x1)
    problem:
     strict:
      a(a(x1)) -> a(b(a(b(x1))))
     weak:
      a(x1) -> x1
      b(b(b(b(x1)))) -> a(x1)
    Open