% SZS status Theorem for INT__MOD__REDUCE_
% SZS output start Proof for INT__MOD__REDUCE_
  file('i/f/integer/INT__MOD__REDUCE_c4',ah4s_bools_TRUTH)).
  file('i/f/integer/INT__MOD__REDUCE_c4',ah4s_bools_NOTu_u_CLAUSESu_c2)).
  file('i/f/integer/INT__MOD__REDUCE_c4',ah4s_numerals_numeralu_u_lteu_c1)).
  file('i/f/integer/INT__MOD__REDUCE_c4',ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
  file('i/f/integer/INT__MOD__REDUCE_c4',ah4s_arithmetics_ALTu_u_ZERO)).
  file('i/f/integer/INT__MOD__REDUCE_c4',ah4s_arithmetics_NUMERALu_u_DEF)).
  file('i/f/integer/INT__MOD__REDUCE_c4',ah4s_integers_intu_u_mod0)).
  file('i/f/integer/INT__MOD__REDUCE_c4',ch4s_integers_INTu_u_MODu_u_REDUCEu_c4)).
  file('i/f/integer/INT__MOD__REDUCE_c4',ah4s_integers_INTu_u_MODu_u_CALCULATEu_c3)).
% SZS output end Proof for INT__MOD__REDUCE_
