MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(b(c(x1))) -> b(c(c(a(x1))))
   c(x1) -> b(a(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0,
    
    [c](x0) = x0 + 9,
    
    [a](x0) = x0 + 8
   orientation:
    a(x1) = x1 + 8 >= x1 = x1
    
    a(b(c(x1))) = x1 + 17 >= x1 + 26 = b(c(c(a(x1))))
    
    c(x1) = x1 + 9 >= x1 + 8 = b(a(x1))
   problem:
    strict:
     a(b(c(x1))) -> b(c(c(a(x1))))
    weak:
     a(x1) -> x1
     c(x1) -> b(a(x1))
   Open