  Comtrans algebras, arising in web geometry, have two trilinear operations,
commutator and translator. We determine a Gr\"obner basis for the comtrans
operad, and state a conjecture on its dimension formula. We study multilinear
polynomial identities for the special commutator $[x,y,z] = xyz-yxz$ and
special translator $\langle x, y, z \rangle = xyz-yzx$ in associative triple
systems. In degree 3, the defining identities for comtrans algebras generate
all identities. In degree 5, we simplify known identities for each operation
and determine new identities relating the operations. In degree 7, we use
representation theory of the symmetric group to show that each operation
satisfies identities which do not follow from those of lower degree but there
are no new identities relating the operations. We use noncommutative Gr\"obner
bases to construct the universal associative envelope for the special comtrans
algebra of $2 \times 2$ matrices.
