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The paper deals with verification of untimed branching time properties of Time Petri Nets. The atomic variant of the geometric region method for preserving properties of CTL* and ACTL* is improved. Then, it is shown, for the first time, how to apply the partial order reduction method to deal with next-time free branching properties of Time Petri Nets. The above two results are combined offering an efficient method for model checking of ACTL-X* and CTL-X* properties of Time Petri Nets.