What happens to the magnetic field lines if like poles are repelling?

The north and North Pole or the south and the South Pole are facing each other which is causing them to repel

Suppose we know nothing about magnetic field but that magnets have two poles. Suppose we have three magnets A, B, and C each with two poles so A1, A2, etc. Now we do an experiment. We put A1 in front of B1 and they attract each other then we do this between A1 and C1 and they attract each other too. Now if same poles were to attract each other then A1, B1, and C1 should have been the same and B1 and C1 should also attract each other but then we see they don't.

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