Cyclic hydraulic fracturing promotes internal crack development in HDR by gradually softening the rock material, thereby enhancing crack propagation and significantly reducing the fracture initiation pressure [6; 7]. In summary, conventional hydraulic fracturing typically requires high fracture initiation stresses but achieves high extraction efficiency, whereas cyclic hydraulic fracturing lowers the fracture initiation stress and enhances extraction efficiency in HDR. However, elevated temperatures and repeated loading cycles can accelerate crack propagation in rocks, thereby reducing thermal extraction efficiency and compromising overall project safety. Therefore, studying the mechanical properties of rocks under real-time high-temperature and cyclic loading conditions is crucial for ensuring the safety of deep-earth engineering. The mechanical behavior of granite at real-time temperatures remains underexplored in the existing research and literature. Current research primarily focuses on two aspects. First, there are studies on the mechanical properties of rocks after exposure to high temperatures or under real-time high-temperature conditions, analyzing the effects of temperature on the physico-mechanical properties of granite, including strength, peak strain, elastic modulus, porosity, and wave velocity. While the mechanical properties of granite after heat treatment have been extensively studied [8; 9; 10], research on its real-time high-temperature behavior remains limited. In recent years, an increasing number of researchers have investigated the mechanical properties of granite under real-time high-temperature conditions. [PERSON] et al. [11] performed real-time high-temperature triaxial compression tests on granite specimens using a self-developed true triaxial testing system. They found that the mechanical properties of granite initially increased and then decreased with rising temperature, revealing the existence of a critical temperature threshold. [PERSON] et al. [12] developed a fully coupled thermo-mechanical model within the framework of conventional state dynamics. They found that high temperatures induce thermal cracking, causing the rock to transition from a mixed tensile-shear damage mode to a predominantly tensile damage mode and eventually to a purely tensile damage mode as temperature increases. Through triaxial compression tests at both real-time high temperatures and post-heat treatment conditions, [PERSON] et al. [13] found that the elastic modulus of the rock was inversely proportional to temperature. Additionally, the number of cracks in rocks tested at real-time high temperatures was significantly greater than in those tested after heat treatment. Second, there are studies on different loading paths [14; 15] and cyclic loading limits [16; 17; 18; 19] for rocks. [PERSON] et al. [20] conducted graded cyclic loading-unloading tests and observed that, as loading amplitude increased, the hysteresis loop area of the stress-strain curve expanded, and the elastic modulus during loading was greater than during unloading. [PERSON] et al. [21] performed fatigue tests at varying loading-unloading rates and found that strain was inversely proportional to these rates. The strain exhibited a \"U-shaped\" trend throughout the cyclic loading-unloading process. Previous studies have primarily examined the effects of temperature or cyclic loading on the mechanical properties of rocks, while the combined influence of temperature and cyclic stress remains underexplored. However, deep rocks exist in highly complex geological environments and are frequently influenced by temperature and stress variations. This study conducts uniaxial compression tests on granite at different real-time temperatures (25 \({}^{\circ}\)C, 200 \({}^{\circ}\)C, 400 \({}^{\circ}\)C, and 600 \({}^{\circ}\)C) and cyclic loading-unloading tests at varying temperatures under both constant and variable lower limits.