MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> b(a(c(b(x1))))
   b(b(x1)) -> a(a(x1))
   c(a(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 1,
    
    [b](x0) = x0 + 24,
    
    [a](x0) = x0 + 8
   orientation:
    a(a(x1)) = x1 + 16 >= x1 + 57 = b(a(c(b(x1))))
    
    b(b(x1)) = x1 + 48 >= x1 + 16 = a(a(x1))
    
    c(a(x1)) = x1 + 9 >= x1 = x1
   problem:
    strict:
     a(a(x1)) -> b(a(c(b(x1))))
    weak:
     b(b(x1)) -> a(a(x1))
     c(a(x1)) -> x1
   Open