% SZS status Theorem for exists__thm_
% SZS output start Proof for exists__thm_
  file('i/f/path/exists__thm_c0',aHLu_TRUTH)).
  file('i/f/path/exists__thm_c0',aHLu_BOOLu_CASES)).
  file('i/f/path/exists__thm_c0',aHLu_FALSITY)).
  file('i/f/path/exists__thm_c0',ch4s_paths_existsu_u_thmu_c0)).
  file('i/f/path/exists__thm_c0',ah4s_bools_EQu_u_IMPu_u_THM)).
  file('i/f/path/exists__thm_c0',ah4s_paths_firstPu_u_atu_u_thmu_c0)).
  file('i/f/path/exists__thm_c0',ah4s_paths_existsu_u_def)).
  file('i/f/path/exists__thm_c0',ah4s_bools_EQu_u_CLAUSESu_c1)).
% SZS output end Proof for exists__thm_
