MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(x1)) -> c(a(c(x1)))
   c(c(x1)) -> b(b(b(a(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 18,
    
    [b](x0) = x0 + 3,
    
    [a](x0) = x0 + 15
   orientation:
    a(x1) = x1 + 15 >= x1 = x1
    
    a(b(x1)) = x1 + 18 >= x1 + 51 = c(a(c(x1)))
    
    c(c(x1)) = x1 + 36 >= x1 + 24 = b(b(b(a(x1))))
   problem:
    strict:
     a(b(x1)) -> c(a(c(x1)))
    weak:
     a(x1) -> x1
     c(c(x1)) -> b(b(b(a(x1))))
   Open