No, because it is still just material that does a calculation. If all people were to die right now, computers would still work. So whether they are created by humans or not does not matter; a computer is now a seperate "entity" capable of making true/false statements. Those statements don't come from a mind, they come from the computer. Of course, the computer does not really think, but then you should rewrite your premise to reflect that, because now it says everything capable of making true/false statements is thinking.
Also this has no scientific support:
2) No merely physical material or its combination is a thinking source.
We don't know enough about the brain to say it is not physically capable of thinking. In fact it may be the opposite, for example it is researched which areas in the brain are responsible for language processing. Thinking is also for a large part language, so at least in part it will take place there.
I belief in rebirth, but trying to proof it with reasoning is not really possible, I think. And I think, when one dies, thinking stops or at least alters very much because the mind leaves the brain.