Please answer the following question by reasoning step-by-step.
Does Steven Spielberg's 1998 film take place in a period after War Horse setting?

yes
Steven Spielberg's 1998 film, Saving Private Ryan, takes place during World War II.

World War II took place from 1939-1945.

The 2011 movie War Horse takes place during World War I.

World War I took place from 1914-1918.

.

Thus, the answer is yes