% SZS status Theorem for REAL__SUM
% SZS output start Proof for REAL__SUM
  file('i/f/real/REAL__SUMSQ',aHLu_FALSITY)).
  file('i/f/real/REAL__SUMSQ',aHLu_BOOLu_CASES)).
  file('i/f/real/REAL__SUMSQ',ah4s_reals_REALu_u_POASQ)).
  file('i/f/real/REAL__SUMSQ',ah4s_reals_REALu_u_ADDu_u_LID)).
  file('i/f/real/REAL__SUMSQ',ah4s_reals_REALu_u_MULu_u_LZERO)).
  file('i/f/real/REAL__SUMSQ',ch4s_reals_REALu_u_SUMSQ)).
  file('i/f/real/REAL__SUMSQ',ah4s_bools_EQu_u_CLAUSESu_c1)).
  file('i/f/real/REAL__SUMSQ',ah4s_reals_REALu_u_LEu_u_SQUARE)).
  file('i/f/real/REAL__SUMSQ',ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
  file('i/f/real/REAL__SUMSQ',ah4s_reals_REALu_u_POSu_u_NZ)).
  file('i/f/real/REAL__SUMSQ',ah4s_reals_REALu_u_LTEu_u_ADD)).
  file('i/f/real/REAL__SUMSQ',aHLu_TRUTH)).
  file('i/f/real/REAL__SUMSQ',ah4s_reals_REALu_u_LETu_u_ADD)).
% SZS output end Proof for REAL__SUM
