% SZS status Theorem for PTREE__OF__NUMSET__INSERT__EMP
% SZS output start Proof for PTREE__OF__NUMSET__INSERT__EMP
  file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY',ah4s_bools_EQu_u_CLAUSESu_c1)).
  file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY',ah4s_patricias_EMPTYu_u_ISu_u_PTREE)).
  file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY',ch4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_INSERTu_u_EMPTY)).
  file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY',ah4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_INSERT)).
  file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY',aHLu_TRUTH)).
% SZS output end Proof for PTREE__OF__NUMSET__INSERT__EMP
