This is my Popper delete example

hakank:
'''
pos(f(0,[0],[])).
pos(f(1,[1],[])).
pos(f(2,[2],[])).
pos(f(3,[3],[])).
pos(f(4,[4],[])).
pos(f(1,[0,1],[0])).
pos(f(0,[0,0],[0])).
pos(f(0,[1,0],[1])).
pos(f(0,[2,0],[2])).
pos(f(1,[1,1],[1])).
pos(f(1,[2,1],[2])).
pos(f(2,[2,2],[2])).
pos(f(2,[3,2],[3])).
pos(f(3,[2,3],[2])).
pos(f(4,[3,4,5],[3,5])).
pos(f(3,[4,2,3],[4,2])).
pos(f(4,[5,2,4],[5,2])).
'''

GPT4:
'''
This problem appears to involve a predicate f that takes three lists as
arguments. The first argument is a number N, the second argument is a
list of integers, and the third argument is a list where elements at even
indices in the second list have been removed if they are less than N.
'''

hakank:
'''
This is not completely correct. The pattern is simpler than that.
Please do no print any program or detailed analysis unless I ask for it.
'''

GPT4:
'''
I apologize for the confusion. Based on the given examples, it seems like the
problem involves a predicate f that takes a number N, a list of integers,
and the third argument is a list where elements at even indices in
the second list have been removed if they are less than N.

Let me know if you'd like to see the Prolog program for this pattern
or if you have any other questions.
'''

After some different erroneus trials of GPT4, I asked the following:

hakank
'''
It's not correct. Please analysis the positive examples according to your pattern and see describe where it's wrong.
'''

GPT4:
'''
I apologize for my previous interpretations. Let's go through the positive
examples again and analyze them based on the pattern I described earlier:

pos(f(3,[4,2,3],[4,2])): This example follows the pattern because the number
3 is at an odd index (2, 0-based) in the second list, and it is removed in
the third list.
However, I see that my previous interpretation does not hold for all the
examples. For example:

pos(f(0,[0],[])): The number 0 is at index 0 (even) in the second list,
but it is removed in the third list, which contradicts the pattern I described earlier.
I apologize for the confusion. I will reevaluate the examples and
try to identify the correct pattern. Please give me a moment.
'''

(It didn't come back with a new solution. :-))

I like that it realized its mistakes, but I'm uncertain about the reasoning here
since it seems to mix indices in base-0 and base-1.

I give it 1/2 point since it realized that it was about deletion of the
number.