The phase diagram of the two-channel Kondo lattice model is examined w
ith a quantum Monte Carlo simulation in the limit of infinite dimensio
ns. Commensurate (and incommensurate) antiferromagnetic and supercondu
cting states are found. The antiferromagnetic transition is very weak
and continuous. The superconducting transition is discontinuous to an
odd-frequency channel-singlet and spin-singlet pairing state.