Surgical simulation of invasive operation with physics-based soft tissue model requires massive computational complexity. Therefore, VR simulation which requires interactivity is hard to install on general computer. This study aims to provide an ablation simulator with haptic feedback. Previously proposed soft tissue rupture model employs FEM-based model for accurate calculation of deformation and force feedback. This paper proposes a simulation system on PC-cluster for hiding calculation delay. Application level speculative operation method which is for prediction of next soft tissue model states is proposed. Estimation of speculation performance indicates that the probability reduction parameters depending on employed simulation model are determinant to achieve interactive simulation.