Is it Easier to Prove Theorems that are Guaranteed to be True?

Rafael Pass, Muthuramakrishnan Venkitasubramaniam. Is it Easier to Prove Theorems that are Guaranteed to be True?. Electronic Colloquium on Computational Complexity (ECCC), 27:51, 2020. [doi]

@article{PassV20,
  title = {Is it Easier to Prove Theorems that are Guaranteed to be True?},
  author = {Rafael Pass and Muthuramakrishnan Venkitasubramaniam},
  year = {2020},
  url = {https://eccc.weizmann.ac.il/report/2020/051},
  researchr = {https://researchr.org/publication/PassV20},
  cites = {0},
  citedby = {0},
  journal = {Electronic Colloquium on Computational Complexity (ECCC)},
  volume = {27},
  pages = {51},
}