# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:(p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X1))))=>s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(t_h4s_nums_num,t_bool),h4s_patricias_numsetu_u_ofu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X1)))))=s(t_h4s_nums_num,h4s_patricias_size(s(t_h4s_patricias_ptree(t_h4s_ones_one),X1)))),file('i/f/patricia/CARD__NUMSET__OF__PTREE', ch4s_patricias_CARDu_u_NUMSETu_u_OFu_u_PTREE)).
fof(2, axiom,p(s(t_bool,t0)),file('i/f/patricia/CARD__NUMSET__OF__PTREE', aHLu_TRUTH)).
fof(7, axiom,![X1]:(s(t_bool,X1)=s(t_bool,t0)<=>p(s(t_bool,X1))),file('i/f/patricia/CARD__NUMSET__OF__PTREE', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(10, axiom,![X2]:![X1]:s(t_h4s_nums_num,h4s_patricias_size(s(t_h4s_patricias_ptree(X2),X1)))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(t_h4s_nums_num),h4s_patricias_traverse(s(t_h4s_patricias_ptree(X2),X1))))),file('i/f/patricia/CARD__NUMSET__OF__PTREE', ah4s_patricias_SIZEu_u_def)).
fof(11, axiom,![X1]:s(t_fun(t_h4s_nums_num,t_bool),h4s_patricias_numsetu_u_ofu_u_ptree(s(t_h4s_patricias_ptree(t_h4s_ones_one),X1)))=s(t_fun(t_h4s_nums_num,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(t_h4s_nums_num),h4s_patricias_traverse(s(t_h4s_patricias_ptree(t_h4s_ones_one),X1))))),file('i/f/patricia/CARD__NUMSET__OF__PTREE', ah4s_patricias_NUMSETu_u_OFu_u_PTREEu_u_def)).
fof(12, axiom,![X2]:![X1]:(p(s(t_bool,h4s_patricias_isu_u_ptree(s(t_h4s_patricias_ptree(X2),X1))))=>p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(t_h4s_nums_num),h4s_patricias_traverse(s(t_h4s_patricias_ptree(X2),X1))))))),file('i/f/patricia/CARD__NUMSET__OF__PTREE', ah4s_patricias_ALLu_u_DISTINCTu_u_TRAVERSE)).
fof(13, axiom,![X2]:![X10]:(p(s(t_bool,h4s_lists_allu_u_distinct(s(t_h4s_lists_list(X2),X10))))=>s(t_h4s_nums_num,h4s_predu_u_sets_card(s(t_fun(X2,t_bool),h4s_lists_listu_u_tou_u_set(s(t_h4s_lists_list(X2),X10)))))=s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X2),X10)))),file('i/f/patricia/CARD__NUMSET__OF__PTREE', ah4s_patricias_CARDu_u_LISTu_u_TOu_u_SET)).
# SZS output end CNFRefutation
