% SZS status Theorem for first__s
% SZS output start Proof for first__s
  file('i/f/path/first__seg',ch4s_paths_firstu_u_seg)).
  file('i/f/path/first__seg',ah4s_paths_segu_u_def)).
  file('i/f/path/first__seg',ah4s_paths_firstu_u_take)).
  file('i/f/path/first__seg',ah4s_paths_firstu_u_drop)).
  file('i/f/path/first__seg',aHLu_TRUTH)).
  file('i/f/path/first__seg',ah4s_bools_EQu_u_CLAUSESu_c1)).
  file('i/f/path/first__seg',ah4s_arithmetics_LESSu_u_ORu_u_EQ)).
  file('i/f/path/first__seg',ah4s_paths_PLu_u_downwardu_u_closed)).
% SZS output end Proof for first__s
