Cross-purpose and Standoff

Cross-purpose noun - A contrary aim.

Standoff and cross-purpose are semantically related. in impasse topic. In some cases you can use "Standoff" instead a noun phrase "Cross-purpose".

Standoff noun - A situation in which neither participant in a contest, competition, or struggle comes out ahead of the other.

Cross-purpose and standoff are semantically related. Sometimes you can replace phrase "Cross-purpose" with "Standoff", this terms are similar.