If
the ox of a Jew gored an ox of the Temple treasury, or if an ox of the
Temple treasury gored the ox of a Jew, the owner is exempt: “...ox of his
fellow...” - and not an ox of the Temple treasury.
If
the ox of a Jew gored the ox of a Canaanite, the Jew is exempt, but if
the ox of a Canaanite gored the ox of a Jew, the Canaanite pays full
damages – a penalty on Canaanites who had no court system and were
generally not careful about other people's possessions (Meiri), thus
not applicable today.