Irreconcilable
IRRECONCI'LABLE, adjective [in and reconcilable.]
1. Not to be recalled to amity, or a state of friendship and kindness; retaining enmity that cannot be appeased or subdued; as an irreconcilable enemy or faction.
2. That cannot be appeased or subdued; as irreconcilable enmity or hatred.
3. That cannot be made to agree or be consistent; incongruous; incompatible; as irreconcilable absurdities. It is followed by with or to. A man's conduct may be irreconcilable to or with his avowed principles.