MAYBE

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

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