MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(x1) -> b(c(x1))
   c(b(b(b(x1)))) -> b(b(a(a(x1))))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 16,
    
    [c](x0) = x0 + 9,
    
    [a](x0) = x0 + 2
   orientation:
    a(x1) = x1 + 2 >= x1 = x1
    
    a(x1) = x1 + 2 >= x1 + 25 = b(c(x1))
    
    c(b(b(b(x1)))) = x1 + 57 >= x1 + 36 = b(b(a(a(x1))))
   problem:
    strict:
     a(x1) -> b(c(x1))
    weak:
     a(x1) -> x1
     c(b(b(b(x1)))) -> b(b(a(a(x1))))
   Open