To experiment on this reversible adiabatic path you must consider the following figure:
Points out of the figure:
After this whole cycle is complete, it will be reversible with paths CA, CB and BC. Here you must notice that there is no heat transfer in the paths CA and CB. The reversibility will be shown in the isothermal path only. Ultimately, it is violating the 2nd law of internal energy.
Result of the experiment:
This experiment shows that assuming two adiabatic paths intersecting with each other is a false point. This reversible cycle is an impossible outcome. By no means will those two adiabatic paths intersect.
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