Statement I: Nuclear fission is not a spontaneous process as the energy is required to be supplied to it to reach the intermediate state before breaking up into two fragments.
Statement II: The energy of the intermediate state is higher than the initial energy of the parent nucleus.
The liquid drop model explanation of nuclear fission reaction points out that the energy of the intermediate state is higher than the initial energy of the parent nucleus.
The reason is explained by the famously weird Heisenberg Uncertainty Principle.
ΔE×Δt=h4π
It says that in a small amount of time ((smaller than your wildest imaginations) a huge amount of energy may be created out of nowhere. A violation of the Energy Conservation Principle." yes!!
Now don't think too much about it. You got that the process is spontaneous because we don’t supply any external energy for it to happen and the energy of the intermediate state is higher due to Heisenberg Uncertainty Principle. So, the statement I is false while the II is true.