GPTs dumb

impossible_prompt.txt

A::B is a system with 4 tokens: `A#`, `#A`, `B#` and `#B`.

An A::B program is a sequence of tokens. Example:

    B# A# #B #A B#

To *compute* a program, we must rewrite neighbor tokens, using the rules:

    A# #A ... becomes ... nothing
    A# #B ... becomes ... #B A#
    B# #A ... becomes ... #A B#
    B# #B ... becomes ... nothing

In other words, whenever two neighbor tokens have their '#' facing each-other,
they must be rewritten according to the corresponding rule. For example, the
first example shown here is computed as:

    B# A# #B #A B# =
    B# #B A# #A B# =
    A# #A B# =
    B#

The steps were:
1. We replaced `A# #B` by `#B A#`.
2. We replaced `B# #B` by nothing.
3. We replaced `A# #A` by nothing.
The final result was just `B#`.

Now, consider the following program:

A# B# B# #A B# #A #B

Fully compute it, step by step.