Supplementary Information

The claim and evidence conflict pairs can be found at https://huggingface. The scope of our dataset is purely for scientific research. Conflict Verification: Ensuring that the default and conflict evidence are contradictory. The human evaluation results showed a high level of accuracy in our data generation process. We select models with 2B and 7B parameters for our analysis. Models with 7B and 70B parameters are selected for our analysis. To facilitate parallel training, we employ DeepSpeed Zero-Stage 3 [Ren et al., The prompt for generating semantic conflict descriptions is shown in Figure 1. The prompt for generating default evidence is shown in Table 6. The prompt for generating misinformation conflict evidence is shown in Table 7. The prompt for generating temporal conflict evidence is shown in Table 8.