What is the One Max Problem in detail?
deap is an evolutionary algorithm library. In an evolutionary algorithm you usually want to optimize a function. For this, you define individuals as a collection of genes (e.g. a string of numbers) that condense a possible solution, you create a population of such individuals, and define a fitness function to evaluate how good they are; then you apply evolutionary operators (e.g. mutation, pairing) to evolve the population, effectively searching the solution space.

The problem referred to as "max one problem" in the linked page can be reworded as:


  let's create a toy evolutionary algorithm where we want to evolve a population of individuals (where each individual is a list of N integer numbers) until one of them is exactly comprised of N ones (i.e. 1,1,....,1).


The "maximum satifiability problem" is not related to this.