MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(a(x1)) -> b(x1)
   a(b(x1)) -> c(a(x1))
   c(c(x1)) -> b(a(b(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 16,
    
    [b](x0) = x0,
    
    [a](x0) = x0 + 12
   orientation:
    a(a(x1)) = x1 + 24 >= x1 = b(x1)
    
    a(b(x1)) = x1 + 12 >= x1 + 28 = c(a(x1))
    
    c(c(x1)) = x1 + 32 >= x1 + 12 = b(a(b(x1)))
   problem:
    strict:
     a(b(x1)) -> c(a(x1))
    weak:
     a(a(x1)) -> b(x1)
     c(c(x1)) -> b(a(b(x1)))
   Open