# 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_delete(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X1)))))=s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_remove(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))),s(t_h4s_nums_num,X1)))),file('i/f/patricia/PTREE__OF__NUMSET__DELETE', ch4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_DELETE)).
fof(4, axiom,![X1]:![X5]:![X2]:((p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X5))))&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),X5),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_delete(s(t_fun(t_h4s_nums_num,t_bool),X2),s(t_h4s_nums_num,X1)))))=s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_bools_cond(s(t_bool,h4s_patricias_inu_u_ptree(s(t_h4s_nums_num,X1),s(t_h4s_patricias_ptree(t_h4s_ones_one),X5))),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),X5),s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_remove(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),X5),s(t_fun(t_h4s_nums_num,t_bool),X2))),s(t_h4s_nums_num,X1)))))),file('i/f/patricia/PTREE__OF__NUMSET__DELETE', ah4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_DELETE0)).
fof(10, axiom,![X3]:p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X3),h4s_patricias_empty)))),file('i/f/patricia/PTREE__OF__NUMSET__DELETE', ah4s_patricias_EMPTYu_u_ISu_u_PTREE)).
fof(34, axiom,![X3]:![X12]:![X13]:s(X3,h4s_bools_cond(s(t_bool,f),s(X3,X13),s(X3,X12)))=s(X3,X12),file('i/f/patricia/PTREE__OF__NUMSET__DELETE', ah4s_bools_CONDu_u_CLAUSESu_c1)).
fof(38, axiom,![X6]:~(p(s(t_bool,h4s_patricias_inu_u_ptree(s(t_h4s_nums_num,X6),s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_patricias_empty))))),file('i/f/patricia/PTREE__OF__NUMSET__DELETE', ah4s_patricias_INu_u_PTREEu_u_EMPTY)).
fof(62, axiom,![X5]:(s(t_bool,f)=s(t_bool,X5)<=>~(p(s(t_bool,X5)))),file('i/f/patricia/PTREE__OF__NUMSET__DELETE', ah4s_bools_EQu_u_CLAUSESu_c2)).
# SZS output end CNFRefutation
