Humans are not limited to inference-based reasoning.
Computer Science still puts the same restrictions on what we can compute.
Assuming humans get their capabilities by physics and their bodies... those same elements are available to be assembled elsewhere, in non-human form. Many of us have a very strong psychological need to feel like we're somehow special, but I have never been convinced that we are. Just like we built machines that could best human physical abilities, we'll eventually build machines that best our intellectual abilities, too.
As a child, when I used to talk about how great machines were to my parents, they used to laugh at me and say that robots would never be able to walk like humans, as robots back then, couldn't navigate stairs. My parents thought that human ambulation was unique, and impossible to replicate in non-human form, there was no technology they could imagine being able to duplicate such dexterity. They were wrong, as we see that technology developing just fine today.
And I believe that people who desperately hope that our intelligence will never be matched in "artificial" form, are just as short-sighted and wrong as my parents were back then.