A speech understanding system confronts with the ambiguities caused by the acoustic-phonetic errors and multiple-meaning of words. Thus the effective framework is required to resolve the ambiguity. The speech understanding system described in this paper deals with two different kind of phrase to avoid the combinatorial explosion. And the speech understanding system is constructed on ATMS based problem solving system to extract maximum performance. Experimental results show that, the time consumed by the speech understanding system reduces into 10. Furthermore, to evaluate the generality and effectiveness of the ATMS based problem solving system, the results of an another experiment are also presented in this paper.