I think as long as it is polymer (for sure polymer dose not conduct electricity) so when polymer conduct electricity called conducting because it dose not as known , and to differentiate from the compound prepared from semiconductors like Si.

As long polypyrolle is in its "basic" (reduced) state it rewals conductivity typical for semiconductors. However, if you dope (oxidize) polypyrrole, than polarons and bipolarons are formed. For, that purpose you need source of counterions that will compensate charge of these polarons (cationradical) and bipolarons (dication). Then, you'll have very efficient charge carries in your material. Such doped polypyrrole conductivity is comparable to the conductivity of metals. This effect is very well known for all conductive polymers, i.e., see PSS:PEDOT composite, or polyaniline/emeraldine equilibrium.

I though that the molecular weight of poly pyrrole and the highly congugated system of resonanse are increased the conductivity

I ,thank you all for your reply.The article I have attached shows the R vs T graph, which is clearly for semiconductor behavior , but still author claims it as a conduction material, not semiconducting. I am still confused about the conducting behavior of polymers.