RU-SPB 2018 Problem 95

Can we draw $\triangle ABC$ and points $X,Y$ , such that $AX=BY=AB$ , $BX = CY = BC$ , $CX = AY = CA$ ?

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.