# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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),X1),s(t_fun(t_h4s_nums_num,t_bool),h4s_predu_u_sets_empty)))=s(t_h4s_patricias_ptree(t_h4s_ones_one),X1),file('i/f/patricia/PTREE__OF__NUMSET__EMPTY', ch4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_EMPTY)).
fof(7, axiom,![X2]:![X4]:![X5]:![X6]:s(X4,h4s_lists_foldl(s(t_fun(X4,t_fun(X2,X4)),X5),s(X4,X6),s(t_h4s_lists_list(X2),h4s_lists_nil)))=s(X4,X6),file('i/f/patricia/PTREE__OF__NUMSET__EMPTY', ah4s_lists_FOLDL0u_c0)).
fof(8, axiom,![X2]:s(t_h4s_lists_list(X2),h4s_lists_setu_u_tou_u_list(s(t_fun(X2,t_bool),h4s_predu_u_sets_empty)))=s(t_h4s_lists_list(X2),h4s_lists_nil),file('i/f/patricia/PTREE__OF__NUMSET__EMPTY', ah4s_lists_SETu_u_TOu_u_LISTu_u_EMPTY)).
fof(9, axiom,![X1]:![X7]: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),X1),s(t_fun(t_h4s_nums_num,t_bool),X7)))=s(t_h4s_patricias_ptree(t_h4s_ones_one),h4s_lists_foldl(s(t_fun(t_h4s_patricias_ptree(t_h4s_ones_one),t_fun(t_h4s_nums_num,t_h4s_patricias_ptree(t_h4s_ones_one))),h4s_combins_c(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_patricias_ptree(t_h4s_ones_one),t_h4s_patricias_ptree(t_h4s_ones_one))),h4s_patricias_insertu_u_ptree))),s(t_h4s_patricias_ptree(t_h4s_ones_one),X1),s(t_h4s_lists_list(t_h4s_nums_num),h4s_lists_setu_u_tou_u_list(s(t_fun(t_h4s_nums_num,t_bool),X7))))),file('i/f/patricia/PTREE__OF__NUMSET__EMPTY', ah4s_patricias_PTREEu_u_OFu_u_NUMSETu_u_def)).
# SZS output end CNFRefutation
