% SZS status Theorem for IN__PTREE__OF__NUMSET__EMP
% SZS output start Proof for IN__PTREE__OF__NUMSET__EMP
  file('i/f/patricia/IN__PTREE__OF__NUMSET__EMPTY',aHLu_BOOLu_CASES)).
  file('i/f/patricia/IN__PTREE__OF__NUMSET__EMPTY',ah4s_patricias_INu_u_PTREEu_u_OFu_u_NUMSET)).
  file('i/f/patricia/IN__PTREE__OF__NUMSET__EMPTY',ch4s_patricias_INu_u_PTREEu_u_OFu_u_NUMSETu_u_EMPTY)).
  file('i/f/patricia/IN__PTREE__OF__NUMSET__EMPTY',aHLu_FALSITY)).
  file('i/f/patricia/IN__PTREE__OF__NUMSET__EMPTY',ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
  file('i/f/patricia/IN__PTREE__OF__NUMSET__EMPTY',ah4s_bools_EQu_u_CLAUSESu_c1)).
  file('i/f/patricia/IN__PTREE__OF__NUMSET__EMPTY',aHLu_TRUTH)).
  file('i/f/patricia/IN__PTREE__OF__NUMSET__EMPTY',ah4s_patricias_EMPTYu_u_ISu_u_PTREE)).
  file('i/f/patricia/IN__PTREE__OF__NUMSET__EMPTY',ah4s_patricias_INu_u_PTREEu_u_EMPTY)).
% SZS output end Proof for IN__PTREE__OF__NUMSET__EMP
