1. in a manner that cannot be solved or resolved; in a way that presents an impossible problem or difficulty

Examples

• The two conflicting requirements seemed insolvably at odds with each other.
• The mathematical equation appeared insolvably complex for the students.
• The dispute between the neighbors proved insolvably difficult without legal intervention.
• The ancient mystery remained insolvably shrouded in time.
• The paradox was insolvably embedded in the logical framework.