# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(16, axiom,![X9]:![X6]:~(s(t_h4s_options_option(X9),h4s_options_none)=s(t_h4s_options_option(X9),h4s_options_some(s(X9,X6)))),file('i/f/llist/LTAKE__CONS__EQ__NONE', ah4s_options_NOTu_u_NONEu_u_SOME)).
fof(17, axiom,![X9]:![X13]:![X6]:![X4]:(s(t_h4s_options_option(X9),h4s_options_optionu_u_map(s(t_fun(X13,X9),X4),s(t_h4s_options_option(X13),X6)))=s(t_h4s_options_option(X9),h4s_options_none)<=>s(t_h4s_options_option(X13),X6)=s(t_h4s_options_option(X13),h4s_options_none)),file('i/f/llist/LTAKE__CONS__EQ__NONE', ah4s_options_OPTIONu_u_MAPu_u_EQu_u_NONEu_u_bothu_u_waysu_c0)).
fof(18, axiom,![X14]:~(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))=s(t_h4s_nums_num,h4s_nums_0)),file('i/f/llist/LTAKE__CONS__EQ__NONE', ah4s_nums_NOTu_u_SUC)).
fof(19, axiom,![X14]:![X15]:(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X15)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))<=>s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,X14)),file('i/f/llist/LTAKE__CONS__EQ__NONE', ah4s_primu_u_recs_INVu_u_SUCu_u_EQ)).
fof(20, axiom,![X15]:(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_nums_0)|?[X14]:s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))),file('i/f/llist/LTAKE__CONS__EQ__NONE', ah4s_arithmetics_numu_u_CASES)).
fof(21, axiom,![X9]:![X16]:s(t_h4s_options_option(t_h4s_lists_list(X9)),h4s_llists_ltake(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_llists_llist(X9),X16)))=s(t_h4s_options_option(t_h4s_lists_list(X9)),h4s_options_some(s(t_h4s_lists_list(X9),h4s_lists_nil))),file('i/f/llist/LTAKE__CONS__EQ__NONE', ah4s_llists_LTAKEu_u_THMu_c0)).
fof(22, axiom,![X17]:![X1]:![X14]:![X18]:s(t_h4s_options_option(t_h4s_lists_list(X17)),h4s_llists_ltake(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14))),s(t_h4s_llists_llist(X17),h4s_llists_lcons(s(X17,X18),s(t_h4s_llists_llist(X17),X1)))))=s(t_h4s_options_option(t_h4s_lists_list(X17)),h4s_options_optionu_u_map(s(t_fun(t_h4s_lists_list(X17),t_h4s_lists_list(X17)),h4s_lists_cons(s(X17,X18))),s(t_h4s_options_option(t_h4s_lists_list(X17)),h4s_llists_ltake(s(t_h4s_nums_num,X14),s(t_h4s_llists_llist(X17),X1))))),file('i/f/llist/LTAKE__CONS__EQ__NONE', ah4s_llists_LTAKEu_u_THMu_c2)).
fof(23, conjecture,![X9]:![X1]:![X15]:![X18]:(s(t_h4s_options_option(t_h4s_lists_list(X9)),h4s_llists_ltake(s(t_h4s_nums_num,X15),s(t_h4s_llists_llist(X9),h4s_llists_lcons(s(X9,X18),s(t_h4s_llists_llist(X9),X1)))))=s(t_h4s_options_option(t_h4s_lists_list(X9)),h4s_options_none)<=>?[X14]:(s(t_h4s_nums_num,X15)=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X14)))&s(t_h4s_options_option(t_h4s_lists_list(X9)),h4s_llists_ltake(s(t_h4s_nums_num,X14),s(t_h4s_llists_llist(X9),X1)))=s(t_h4s_options_option(t_h4s_lists_list(X9)),h4s_options_none))),file('i/f/llist/LTAKE__CONS__EQ__NONE', ch4s_llists_LTAKEu_u_CONSu_u_EQu_u_NONE)).
# SZS output end CNFRefutation
