By inerrant I mean, as the word suggests, without error; such that if God were interested in directing an inerrant account of the life of Andrea Yates it simply could not say «the
woman heard God say that she should drown her children in the bathtub» but would have to
qualify it with «the
woman believed that she heard...» Without that
qualifier, it would not be inerrant, it would not be «untrue but historically accurate» if God did not
actually say it then saying that he intervened in human history at that point would be incorrect.