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"Surface Inside Face Conduction Heat Transfer *" output variables are not currently calculated for HAMT surfaces (and probably shouldn't even be produced).
However, the following surface heat transfer variables represent all of the components of the inside surface heat balance. They should always add up to zero (or close to it - I verified that using surface "Front-1" in the 5ZoneDDCycOnAny example file):
Surface Inside Face Convection Heat Gain Rate
Surface Inside Face Net Surface Thermal Radiation Heat Gain Rate
Surface Inside Face Solar Radiation Heat Gain Rate
Surface Inside Face Lights Radiation Heat Gain Rate
Surface Inside Face Internal Gains Radiation Heat Gain Rate
Surface Inside Face System Radiation Heat Gain Rate
Surface Inside Face Conduction Heat Transfer Rate
All of the other variables are valid for HAMT surfaces, so you can compute the inside face conduction as -1*(sum of the other six). All of these come in several flavors, including rate per area.