MAYBE

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

Proof:
 RT Transformation Processor:
  strict:
   a(x1) -> x1
   a(a(x1)) -> a(b(c(x1)))
   c(b(x1)) -> a(c(a(x1)))
  weak:
   
  Matrix Interpretation Processor:
   dimension: 1
   interpretation:
    [b](x0) = x0 + 9,
    
    [c](x0) = x0 + 28,
    
    [a](x0) = x0 + 4
   orientation:
    a(x1) = x1 + 4 >= x1 = x1
    
    a(a(x1)) = x1 + 8 >= x1 + 41 = a(b(c(x1)))
    
    c(b(x1)) = x1 + 37 >= x1 + 36 = a(c(a(x1)))
   problem:
    strict:
     a(a(x1)) -> a(b(c(x1)))
    weak:
     a(x1) -> x1
     c(b(x1)) -> a(c(a(x1)))
   Open