The function replaces lowercase alphabetic characters with specific encoded values, while replacing all other characters with a standard output, "epbq".

Let me attempt to reproduce the function in code based on the available inputs and outputs:

[CODE]:
```python
def encode_string(s):
    encoded = ""

    for char in s:
        if char.islower():
            if char == 'a':
                encoded += "qyp"
            elif char == 'b':
                encoded += "kcq"
            elif char == 'c':
                encoded += "p"
            elif char == 'e':
                encoded += "rp"
            elif char == 'l':
                encoded += "tr"
            elif char == 'o':
                encoded += "z"
            elif char == 's':
                encoded += "d"
            elif char == 't':
                encoded += "v"
            elif char == 'x':
                encoded += "m"
            elif char == 'y':
                encoded += "b"
            else:
                encoded += char
        else:
            encoded += "epbq"
    return encoded
```
Please note that this code may not capture the entire behavior of the function as I am limited in the number of tests I can run. It would be much more accurate if I could access the actual function code. However, based on the provided outputs, this code should approximate the behavior of the implemented function.