Temporal reasoning is an important research direction of Artificial Intelligence (AI). Disjunctive temporal problem (DTP) is an expressive quantitative temporal model which is widely used in automated planning and scheduling and is therefore being well studied. The definition of weak implication and weakly evolutional disjunctive temporal network (WEDTN) is proposed. Based on the WEDTN structure a visual DTP solver TRSE is designed. The demonstration reveals that the visualization based on WEDTN better facilitates the understanding and discovery of DTP solving algorithm and the impact of structural information on that than usual search tree based visualization.