MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(a(x1))) -> b(x1)
   b(b(x1)) -> a(a(x1))
   a(a(x1)) -> a(b(a(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 4,
    
    [a](x0) = x0 + 5
   orientation:
    a(a(a(x1))) = x1 + 15 >= x1 + 4 = b(x1)
    
    b(b(x1)) = x1 + 8 >= x1 + 10 = a(a(x1))
    
    a(a(x1)) = x1 + 10 >= x1 + 14 = a(b(a(x1)))
   problem:
    strict:
     b(b(x1)) -> a(a(x1))
     a(a(x1)) -> a(b(a(x1)))
    weak:
     a(a(a(x1))) -> b(x1)
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [b](x0) = x0 + 2,
     
     [a](x0) = x0 + 1
    orientation:
     b(b(x1)) = x1 + 4 >= x1 + 2 = a(a(x1))
     
     a(a(x1)) = x1 + 2 >= x1 + 4 = a(b(a(x1)))
     
     a(a(a(x1))) = x1 + 3 >= x1 + 2 = b(x1)
    problem:
     strict:
      a(a(x1)) -> a(b(a(x1)))
     weak:
      b(b(x1)) -> a(a(x1))
      a(a(a(x1))) -> b(x1)
    Open