For the sake of room, This was from one of the websites you supplied:
3. Is the origin of life problem soluble in principle?
In addressing the OOL question, it first needs to be emphasized that the question has two distinct facets—historic and ahistoric, and the ability to uncover each of these two facets is quite different. Uncovering the historic facet is the more problematic one. Uncovering that facet would require specifying the original chemical system from which the process of abiogenesis began, together with the chemical pathway from that initiating system right through the extensive array of intermediate structures leading to simplest life. Regretfully, however, much of that historic information will probably never be known. Evolutionary processes are contingent, suggesting that any number of feasible pathways could have led from inanimate matter to earliest life, provided, of course, that those pathways were consistent with the underlying laws of physics and chemistry. The difficulty arises because historic events, once they have taken place, can only be revealed if their occurrence was recorded in some manner. Indeed, it is this historic facet of abiogenesis that makes the OOL problem so much more intractable than the parallel question of biological evolution. Biological evolution also has its historic and ahistoric facets. But whereas for biological evolution the historic record is to a degree accessible through palaeobiologic and phylogenetic studies, for the process of abiogenesis those methodologies have proved uninformative; there is no known geological record pertaining to prebiotic systems, and phylogenetic studies become less informative the further back one goes in attempting to trace out ancestral lineages. Phylogenetic studies presume the existence of organismal individuality and the genealogical (vertical) transfer of genetic information. However, the possibility that earliest life may have been communal [14] and dominated by horizontal gene transfer [15–17] suggests that information regarding the evolutionary stages that preceded the last universal common ancestor [18] would have to be considered highly speculative. Accordingly, the significance of such studies to the characterization of early life, let alone prebiotic systems, becomes highly uncertain.
The conclusion seems clear: speculation regarding the precise historic path from animate to inanimate—the identity of specific materials that were available at particular physical locations on the prebiotic Earth, together with the chemical structures of possible intermediate stages along the long road to life—may lead to propositions that are, though thought-provoking and of undeniable interest, effectively unfalsifiable, and therefore of limited scientific value.
What, if anything here leads you to believe that abiogenesis is not impossible? Your own source!