MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> b(b(c(x1)))
   a(c(x1)) -> x1
   c(b(x1)) -> a(c(a(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 9,
    
    [c](x0) = x0 + 18,
    
    [a](x0) = x0
   orientation:
    a(a(x1)) = x1 >= x1 + 36 = b(b(c(x1)))
    
    a(c(x1)) = x1 + 18 >= x1 = x1
    
    c(b(x1)) = x1 + 27 >= x1 + 18 = a(c(a(x1)))
   problem:
    strict:
     a(a(x1)) -> b(b(c(x1)))
    weak:
     a(c(x1)) -> x1
     c(b(x1)) -> a(c(a(x1)))
   Open