MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> x1
   a(b(x1)) -> c(c(x1))
   c(b(x1)) -> b(b(a(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 26,
    
    [b](x0) = x0 + 21,
    
    [a](x0) = x0 + 4
   orientation:
    a(a(x1)) = x1 + 8 >= x1 = x1
    
    a(b(x1)) = x1 + 25 >= x1 + 52 = c(c(x1))
    
    c(b(x1)) = x1 + 47 >= x1 + 46 = b(b(a(x1)))
   problem:
    strict:
     a(b(x1)) -> c(c(x1))
    weak:
     a(a(x1)) -> x1
     c(b(x1)) -> b(b(a(x1)))
   Open