MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   b(b(x1)) -> a(a(a(x1)))
   a(a(b(x1))) -> b(x1)
   a(b(a(x1))) -> a(b(b(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [a](x0) = x0,
    
    [b](x0) = x0 + 8
   orientation:
    b(b(x1)) = x1 + 16 >= x1 = a(a(a(x1)))
    
    a(a(b(x1))) = x1 + 8 >= x1 + 8 = b(x1)
    
    a(b(a(x1))) = x1 + 8 >= x1 + 16 = a(b(b(x1)))
   problem:
    strict:
     a(a(b(x1))) -> b(x1)
     a(b(a(x1))) -> a(b(b(x1)))
    weak:
     b(b(x1)) -> a(a(a(x1)))
   Matrix Interpretation Processor:
    dimension: 1
    interpretation:
     [a](x0) = x0 + 2,
     
     [b](x0) = x0 + 10
    orientation:
     a(a(b(x1))) = x1 + 14 >= x1 + 10 = b(x1)
     
     a(b(a(x1))) = x1 + 14 >= x1 + 22 = a(b(b(x1)))
     
     b(b(x1)) = x1 + 20 >= x1 + 6 = a(a(a(x1)))
    problem:
     strict:
      a(b(a(x1))) -> a(b(b(x1)))
     weak:
      a(a(b(x1))) -> b(x1)
      b(b(x1)) -> a(a(a(x1)))
    Open