% SZS status Theorem for INT__REM__REDUCE_
% SZS output start Proof for INT__REM__REDUCE_
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_integers_INTu_u_REMu_u_CALCULATEu_c3)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_arithmetics_ALTu_u_ZERO)).
  file('i/f/integer/INT__REM__REDUCE_c1',aHLu_TRUTH)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_bools_NOTu_u_CLAUSESu_c2)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_numerals_numeralu_u_lteu_c2)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_arithmetics_EQu_u_LESSu_u_EQ)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_integers_INTu_u_REMu_u_CALCULATEu_c0)).
  file('i/f/integer/INT__REM__REDUCE_c1',ch4s_integers_INTu_u_REMu_u_REDUCEu_c1)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_arithmetics_NUMERALu_u_DEF)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_arithmetics_ONE)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_arithmetics_TWO)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_arithmetics_BIT20)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_arithmetics_NOTu_u_LESS)).
  file('i/f/integer/INT__REM__REDUCE_c1',ah4s_arithmetics_ZEROu_u_MOD)).
% SZS output end Proof for INT__REM__REDUCE_
