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P-sets (P stands for Packet), a set pair with dynamic and law characteristics, are made up of an internal and an outer P-set, which is obtained by introducing dynamic characteristics into the Cantor set and improving the Cantor set. The concepts of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>α</mi><mi>F</mi></msup></mrow></semantics></math></inline-formula>-sub-information, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msup><mi>α</mi><mrow><mover accent="true"><mi>F</mi><mo stretchy="true">¯</mo></mover></mrow></msup></mrow></semantics></math></inline-formula>-sub-information, and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msup><mi>α</mi><mi>F</mi></msup><mo>,</mo><msup><mi>α</mi><mrow><mover accent="true"><mi>F</mi><mo stretchy="true">¯</mo></mover></mrow></msup><mo>)</mo></mrow></semantics></math></inline-formula>-sub-information are presented in this paper based on P-sets, and it is then suggested that the relationship between the generation of sub-information and its attribute, the process of attribute reasoning, reasoning structure, and sub-information intelligent separation-acquisition be explored. These findings were used to design a sub-information intelligent separation-identification algorithm. By using these results, the application of intelligent separation and the identification of case information are given.