MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(x1)) -> c(x1)
   c(c(x1)) -> b(a(c(b(a(a(x1))))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 16,
    
    [b](x0) = x0 + 9,
    
    [a](x0) = x0 + 8
   orientation:
    a(x1) = x1 + 8 >= x1 = x1
    
    a(b(x1)) = x1 + 17 >= x1 + 16 = c(x1)
    
    c(c(x1)) = x1 + 32 >= x1 + 58 = b(a(c(b(a(a(x1))))))
   problem:
    strict:
     c(c(x1)) -> b(a(c(b(a(a(x1))))))
    weak:
     a(x1) -> x1
     a(b(x1)) -> c(x1)
   Open