MAYBE

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

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