MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> b(b(c(x1)))
   c(b(b(x1))) -> a(b(c(x1)))
   c(c(x1)) -> x1
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 12,
    
    [c](x0) = x0 + 3,
    
    [a](x0) = x0 + 2
   orientation:
    a(x1) = x1 + 2 >= x1 + 27 = b(b(c(x1)))
    
    c(b(b(x1))) = x1 + 27 >= x1 + 17 = a(b(c(x1)))
    
    c(c(x1)) = x1 + 6 >= x1 = x1
   problem:
    strict:
     a(x1) -> b(b(c(x1)))
    weak:
     c(b(b(x1))) -> a(b(c(x1)))
     c(c(x1)) -> x1
   Open