MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(a(b(a(x1)))) -> b(b(a(a(a(x1)))))
   b(x1) -> a(x1)
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0,
    
    [a](x0) = x0 + 17
   orientation:
    a(x1) = x1 + 17 >= x1 = x1
    
    a(a(b(a(x1)))) = x1 + 51 >= x1 + 51 = b(b(a(a(a(x1)))))
    
    b(x1) = x1 >= x1 + 17 = a(x1)
   problem:
    strict:
     a(a(b(a(x1)))) -> b(b(a(a(a(x1)))))
     b(x1) -> a(x1)
    weak:
     a(x1) -> x1
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = x0 + 13,
     
     [a](x0) = x0 + 8
    orientation:
     a(a(b(a(x1)))) = x1 + 37 >= x1 + 50 = b(b(a(a(a(x1)))))
     
     b(x1) = x1 + 13 >= x1 + 8 = a(x1)
     
     a(x1) = x1 + 8 >= x1 = x1
    problem:
     strict:
      a(a(b(a(x1)))) -> b(b(a(a(a(x1)))))
     weak:
      b(x1) -> a(x1)
      a(x1) -> x1
    Open