We consider the most general solar model, using the neutrino fluxes as free parameters constrained only by the solar luminosity, and show that the combined solar neutrino data exclude any astrophysical solution at 97% C.L. Our best fit to the Be-7 and B-8 fluxes is, respectively, < 8% and 37+/-4% of the standard solar model prediction, but only with a large chi2 (4.8 for 1 DF). This best fit to the fluxes contradicts explicit nonstandard solar models, which generally reduce the B-8 flux more than the Be-7. Those models are well parametrized by a single parameter, the central temperature.