Thomas Breuer has proven (1,2) that an observer cannot predict the future of a system in which he is properly contained (even probabilistically). The proof is mathematical, by diagonalization. This includes the cases where the observer would use any possible tools or machines. Basically, the observer does not have a well-defined state as a starting condition for applying physical laws.

This means that the observer is not simulable on a Turing machine, while any real-world machine can be simulated by a Turing machine, and by any conscious observer.

This shows an assymetry a robot cannot simulate the observer but the observer can simulate a robot, and this is a fundamental result.

One should note here that other people would be similar to robots in this respect (e.g., predictable).

So, there is only one human, who has principal advantage (not in performance!) over any existing or conceivable machine.

Thomas Breuer has proven (Classical Observables, Measurement, and Quantum Mechanics,  The Impossibility of Accurate State Self-Measurements) that an observer cannot predict the future of a system in which he is properly contained (even probabilistically). The proof is mathematical, by diagonalization. This includes the cases where the observer would use any possible tools or machines. Basically, the observer does not have a well-defined state as a starting condition for applying physical laws.

This means that the observer is not simulable on a Turing machine, while any real-world machine can be simulated by a Turing machine, and by any conscious observer.

This shows an asymmetry a robot cannot simulate the observer but the observer can simulate a robot, and this is a fundamental result.

One should note here that other people would be similar to robots in this respect (e.g., predictable).

So, there is only one human, who has principal advantage (not in performance!) over any existing or conceivable machine.