unvereinbar
incompatible
So opposed that it cannot be brought into harmony or combined with something else.
Seine politischen Ansichten sind mit den Zielen unserer Partei unvereinbar.
His political views are incompatible with the goals of our party.

incompatible
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incompatible
So opposed that it cannot be brought into harmony or combined with something else.
Seine politischen Ansichten sind mit den Zielen unserer Partei unvereinbar.
His political views are incompatible with the goals of our party.

The word is derived from 'vereinbaren' (to agree on, to reconcile), which in turn goes back to 'vereinen' (to unite). The prefix 'un-' negates this. So 'unvereinbar' (incompatible) means that two things cannot be 'vereinen' (united) or brought into harmony with each other.
Lange Arbeitszeiten und ein intensives Familienleben sind für viele unvereinbar.
Long working hours and an intense family life are incompatible for many people.
'Unvereinbar' (incompatible) is almost always used in the construction 'etwas ist mit etwas (un)vereinbar' (something is/is not compatible with something). The preposition 'mit' (with) is crucial here to express the opposition.
Seine Forderungen sind mit unseren Grundsätzen unvereinbar.
His demands are incompatible with our principles.
The adjective is often used for abstract concepts. Common combinations are 'unvereinbare Ziele' (incompatible goals), 'unvereinbare Interessen' (incompatible interests), 'unvereinbare Werte' (incompatible values), or 'unvereinbare Gegensätze' (irreconcilable opposites).
Die beiden Parteien hatten völlig unvereinbare Vorstellungen von der Zukunft des Projekts.
The two parties had completely incompatible ideas about the future of the project.
compatible
'vereinbar' and 'unvereinbar' are clear opposites. 'vereinbar' means that two things fit together or are in harmony with rules, values, or plans. 'unvereinbar' means that two things are so strongly opposed that they do not fit together. You can use both words for appointments, goals, duties, opinions, or principles. The difference is simple: what fits together is 'vereinbar'; what cannot be brought together is 'unvereinbar'.

Die beiden Arbeitszeiten sind für die Familie unvereinbar.
The two work schedules are incompatible with family life.
Ihre Reisepläne sind mit dem Termin am Montag vereinbar.
Her travel plans are compatible with the appointment on Monday.