And the Catalyst Control Center reports 1 GB for both cards? Note that video RAM can't be shared. A dual GPU, e.g. a HD 7990 with 6 GB of RAM will show as two Tahiti GPUs with 3 GB each.
Do you have the possibility to install an older driver, preferably one that is still CAL-capable?
look at the GFLOPS:
06-Feb-2013 20:47:52 [---] CAL: ATI GPU 0: ATI Radeon HD 5800 series (Cypress) (CAL version 1.4.1741, 1024MB, 986MB available, 3584 GFLOPS peak)
06-Feb-2013 20:47:52 [---] OpenCL: ATI GPU 0: ATI Radeon HD 5800 series (Cypress) (driver version 1016.4, device version OpenCL 1.2 AMD-APP (1016.4), 1024MB, 986MB available, 3584 GFLOPS peak)