Critical infrastructure (CI) resilience is the ability to prepare for disasters, manage disruptions, recover from them quickly, and absorb the lessons learned. Since CI consists of numerous systems of systems (SoS) that are managerially and operationally independent, their resilience is often difficult to maintain. The purpose of this paper is to describe an architecture that characterizes the resilience of SoS engineering (R-SoSE) processes for CI based on the contention that explicitly classifying the SoS can help systems engineers to better understand and practice R-SoSE processes. Focusing on the Japanese chemical industry, R-SoSE processes, including those of Japanese regulators, are described by Integration Definition0 (IDEF0). Since CI behaviors are rule-based, the term 'rules', characterized by laws and industry standards, are important R-SoSE process artifacts in this functional model. Two case studies are analyzed based on the taxa in ISO/IEC/IEEE 21841, which is the international standard for SoS taxonomy.