MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(a(x1)) -> a(b(c(b(a(x1)))))
   b(c(x1)) -> c(a(x1))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [c](x0) = x0 + 6,
    
    [b](x0) = x0 + 3,
    
    [a](x0) = x0 + 2
   orientation:
    a(x1) = x1 + 2 >= x1 = x1
    
    a(a(x1)) = x1 + 4 >= x1 + 16 = a(b(c(b(a(x1)))))
    
    b(c(x1)) = x1 + 9 >= x1 + 8 = c(a(x1))
   problem:
    strict:
     a(a(x1)) -> a(b(c(b(a(x1)))))
    weak:
     a(x1) -> x1
     b(c(x1)) -> c(a(x1))
   Open