Meaning

• A clash or disagreement, often violent, between two or more opposing groups or individuals.

  "The conflict between the government and the rebels began three years ago."

• An incompatibility, as of two things that cannot be simultaneously fulfilled.

  "I wanted to attend the meeting but there's a conflict in my schedule that day."

Meaning

• To be at odds (with); to disagree or be incompatible

• To overlap (with), as in a schedule.

  "It appears that our schedules conflict."