The first author’s previous work established Solomon’s WDVV-type relations for Welschinger’s invariant curve counts in real symplectic fourfolds by lifting geometric over possibly unorientable morphisms. We apply her framework to obtain WDVV-style the disk invariants of sixfolds with some symmetry, particular confirming Alcolado’s prediction $${\mathbb {P}}^3$$ and extending it other spaces. Th...