% SZS status Theorem for HALF__P
% SZS output start Proof for HALF__P
  file('i/f/util_prob/HALF__POS',ah4s_bools_TRUTH)).
  file('i/f/util_prob/HALF__POS',ah4s_bools_NOTu_u_CLAUSESu_c2)).
  file('i/f/util_prob/HALF__POS',ah4s_numerals_numeralu_u_equ_c1)).
  file('i/f/util_prob/HALF__POS',ah4s_numerals_numeralu_u_distribu_c17)).
  file('i/f/util_prob/HALF__POS',ah4s_numerals_numeralu_u_addu_c0)).
  file('i/f/util_prob/HALF__POS',ah4s_numerals_iDUBu_u_removalu_c2)).
  file('i/f/util_prob/HALF__POS',ah4s_numerals_numeralu_u_multu_c0)).
  file('i/f/util_prob/HALF__POS',ah4s_numerals_numeralu_u_multu_c2)).
  file('i/f/util_prob/HALF__POS',ah4s_numerals_numeralu_u_distribu_c5)).
  file('i/f/util_prob/HALF__POS',ah4s_reals_REALu_u_OFu_u_NUMu_u_LE)).
  file('i/f/util_prob/HALF__POS',ch4s_utilu_u_probs_HALFu_u_POS)).
  file('i/f/util_prob/HALF__POS',ah4s_reals_REALu_u_LTu_u_HALF1)).
  file('i/f/util_prob/HALF__POS',ah4s_bools_EQu_u_CLAUSESu_c2)).
  file('i/f/util_prob/HALF__POS',ah4s_bools_EQu_u_CLAUSESu_c0)).
  file('i/f/util_prob/HALF__POS',ah4s_reals_realu_u_lt)).
  file('i/f/util_prob/HALF__POS',ah4s_arithmetics_LEu_c0)).
% SZS output end Proof for HALF__P
