OIM 1989 Problem 1

Determine all triples of real numbers that satisfy the following system of equations: $x+y-z=-1 x^2-y^2+z^2=1 -x^3+y^3+z^3=-1$

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.