% SZS status Theorem for LE__S
% SZS output start Proof for LE__S
  file('i/f/util_prob/LE__SUC',ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
  file('i/f/util_prob/LE__SUC',ch4s_utilu_u_probs_LEu_u_SUC)).
  file('i/f/util_prob/LE__SUC',ah4s_bools_TRUTH)).
  file('i/f/util_prob/LE__SUC',ah4s_bools_NOTu_u_CLAUSESu_c2)).
  file('i/f/util_prob/LE__SUC',ah4s_bools_IMPu_u_Fu_u_EQu_u_F)).
  file('i/f/util_prob/LE__SUC',ah4s_arithmetics_NOTu_u_LEQ)).
  file('i/f/util_prob/LE__SUC',ah4s_bools_EQu_u_CLAUSESu_c1)).
  file('i/f/util_prob/LE__SUC',ah4s_bools_EQu_u_EXPAND)).
  file('i/f/util_prob/LE__SUC',ah4s_arithmetics_ADDu_u_CLAUSESu_c0)).
  file('i/f/util_prob/LE__SUC',ah4s_arithmetics_SUCu_u_ONEu_u_ADD)).
  file('i/f/util_prob/LE__SUC',ah4s_numerals_numeralu_u_distribu_c1)).
  file('i/f/util_prob/LE__SUC',ah4s_arithmetics_ADDu_u_ASSOC)).
  file('i/f/util_prob/LE__SUC',ah4s_arithmetics_ADDu_u_SYM)).
  file('i/f/util_prob/LE__SUC',ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
  file('i/f/util_prob/LE__SUC',ah4s_arithmetics_ADDu_u_MONOu_u_LESSu_u_EQ)).
  file('i/f/util_prob/LE__SUC',ah4s_arithmetics_LESSu_u_EQu_u_TRANS)).
% SZS output end Proof for LE__S
