  Supersymmetric (SUSY) models with R-parity generically predict sparticle
decays with invisible neutralinos, which yield distinctive missing energy
events at colliders. Since most LHC searches are designed with this
expectation, the putative bounds on sparticle masses become considerably weaker
if R-parity is violated so that squarks and gluinos decay to jets with large
QCD backgrounds. Here we introduce a scenario in which baryonic R-parity
violation (RPV) arises effectively from soft SUSY-breaking interactions, but
leptonic RPV remains accidentally forbidden to evade constraints from proton
decay and FCNCs. The model features a global R-symmetry that initially forbids
RPV interactions, a hidden R-breaking sector, and a heavy mediator that
communicates this breaking to the visible sector. After R-symmetry breaking,
the mediator is integrated out and an effective RPV A-term arises at tree
level; RPV couplings between quarks and squarks arise only at loop level and
receive additional suppression. Although this mediator must be heavy compared
to soft masses, the model introduces no new hierarchy since viable RPV can
arise when the mediator mass is near the SUSY breaking scale. In generic
regions of parameter space, a light thermally-produced gravitino is stable and
can be a viable dark matter candidate.
