The problem of the true rate of time course in the field of gravity: time dilation or time acceleration in the gravitational field - what effect is valid? What physical measurements and arguments we really have, and do they satisfy the strictly scientific point of view? To the hypothesis of the Effect of Soloshenko-Yanchilin. According to the general theory of relativity (GTR), time goes slower in the field of gravity. The GTR uses several arguments to prove the postulate about gravitational time dilation. We will look at all these arguments and we will show that all of them can’t be the direct evidence of time dilation in the field of gravity and that they are only indirect proof in the GTR’s paradigm. We insist that till now there is no even one physical fact as the direct experimental or measurement data that can prove gravitational time dilation. Gravitational time dilation is just the hypothetical physical effect of GTR that does not have a valid measurement till the present time. Without an exact physical measurement, gravitational time dilation has the status of the theoretical hypothesis as the opposite effect - gravitational time acceleration (the hypothesis of the Effect of Soloshenko-Yanchilin: an atomic frequency (atomic oscillation frequency) is increased in a gravitational field - time goes faster in the field of gravity and the value of Planck’s constant decreases with the increase of the absolute value of the gravitational potential). Both hypotheses are based on their theoretical models, each of them has its theoretical and physical arguments. Only a valid measurement of a direct comparison of the clocks readings in conditions of different gravitational potentials will provide a physical fact (direct physical evidence) proving gravitational time dilation or gravitational time acceleration. We will prove that in spite of different physical measurements there is no the direct proof of gravitational time dilation.