In the short story by Ray Bradbury, the humans are all dead. They have all died during an atomic explosion. The family had been outside when the atomic blast occurred. All that remains are their silhouettes.
The entire west face of the house was black, save for five places. Here the silhouette in paint of a man mowing a lawn. Here, as in a photograph, a woman bent to pick flowers. Still farther over, their images burned on wood in one titantic instant, a small boy, hands flung into the air; higher up, the image of thrown ball, and opposite him a girl, hand raised to catch a ball which never came down. The five spots of paint- the man, the woman, the children, the ball - remained.
This story is set in the future (2026). Technology has advanced to the point that houses are fully animated and are able to accomplish most daily tasks with no human help. This story shows the pros and cons of technology. The house is nearly self-sufficient but the advance of atomic weapons makes it all irrelevant. Even after the humans are gone, the house continues to function according to its programming. It makes breakfast, waters the lawn, reminds the family members (no longer there to hear) about obligations, schedules, and so on. The house "lives on" for a time, oblivious to the fact that its human inhabitants are gone.
In the poem by Sara Teasdale of the same name, "There Will Come Soft Rains," the events also take place in the future. "There Will" is a phrase that suggests the future. But this could be the near future or decades down the road. Similar to Bradbury's story, the humans are gone and the suggestion is that war has wiped them out. Neither the animals nor "Spring" herself will notice when we (humans) are gone. Any technology and/or civilized progress will be irrelevant. (Bradbury got the title for his story from this poem. The poem is even recited in his story.)