1. A computer-readable medium having recorded thereon a software test management program, which when executed by a computer, causes the computer to execute a process comprising: registering a design model including use cases; registering a source code prepared on a basis of the design model; registering test cases prepared to correspond to the use cases in the design model and test data as test model and a corresponding relationship between the design model and the test model; registering an execution trace of each test case obtained by executing the source code according to the test cases in the test model, a corresponding relationship between the test model and the execution trace and a corresponding relationship between the execution trace and the source code; tracing a corresponding relationship among the design model, the test model, the execution trace and the source code on a basis of the corresponding relationship between the design model and the test model, the corresponding relationship between the test model and the execution trace and the corresponding relationship between the execution trace and the source code; and detecting a specified execution trace in which a specified element in the source code is executed, a specified test case corresponding to the specified execution trace and a specified element of the design model corresponding to the specified test case on a basis of the tracing and outputting the specified element of the design model after the tracing.