MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> x1
   a(b(x1)) -> c(x1)
   c(c(x1)) -> b(c(b(a(a(x1)))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 1,
    
    [b](x0) = x0 + 21,
    
    [a](x0) = x0 + 9
   orientation:
    a(a(x1)) = x1 + 18 >= x1 = x1
    
    a(b(x1)) = x1 + 30 >= x1 + 1 = c(x1)
    
    c(c(x1)) = x1 + 2 >= x1 + 61 = b(c(b(a(a(x1)))))
   problem:
    strict:
     c(c(x1)) -> b(c(b(a(a(x1)))))
    weak:
     a(a(x1)) -> x1
     a(b(x1)) -> c(x1)
   Open