# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:(p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X2))))=>s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_ptreeu_u_ofu_u_numset(s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_empty),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_insert(s(t_h4s_nums_num,X1),s(t_fun(t_h4s_nums_num,t_bool),X2)))))=s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_insertu_u_ptree(s(t_h4s_nums_num,X1),s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_ptreeu_u_ofu_u_numset(s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_empty),s(t_fun(t_h4s_nums_num,t_bool),X2)))))),file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY', ch4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_INSERTu_u_EMPTY)).
fof(2, axiom,p(s(t_bool,t)),file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY', aHLu_TRUTH)).
fof(5, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)<=>p(s(t_bool,X3))),file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(8, axiom,![X1]:![X3]:![X2]:((p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X3))))&p(s(t_bool,h4s_predu_u_sets_finite(s(t_fun(t_h4s_nums_num,t_bool),X2)))))=>s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_ptreeu_u_ofu_u_numset(s(t_h4s_patricias_ptree(t_h4s_ones_one),X3),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_insert(s(t_h4s_nums_num,X1),s(t_fun(t_h4s_nums_num,t_bool),X2)))))=s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_insertu_u_ptree(s(t_h4s_nums_num,X1),s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_ptreeu_u_ofu_u_numset(s(t_h4s_patricias_ptree(t_h4s_ones_one),X3),s(t_fun(t_h4s_nums_num,t_bool),X2)))))),file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY', ah4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_INSERT)).
fof(12, axiom,![X4]:p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X4),h4s_patricias_empty)))),file('i/f/patricia/PTREE__OF__NUMSET__INSERT__EMPTY', ah4s_patricias_EMPTYu_u_ISu_u_PTREE)).
# SZS output end CNFRefutation
