# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_h4s_options_option(X1),happ(s(t_fun(t_h4s_llists_llist(X1),t_h4s_options_option(X1)),h4s_llists_lnth(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))),s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X4),s(t_h4s_llists_llist(X1),X2)))))=s(t_h4s_options_option(X1),happ(s(t_fun(t_h4s_llists_llist(X1),t_h4s_options_option(X1)),h4s_llists_lnth(s(t_h4s_nums_num,X3))),s(t_h4s_llists_llist(X1),X2))),file('i/f/llist/LNTH__THM_c2', ch4s_llists_LNTHu_u_THMu_c2)).
fof(6, axiom,![X11]:![X10]:![X9]:![X7]:s(t_h4s_options_option(X11),h4s_options_optionu_u_map(s(t_fun(X10,X11),X7),s(t_h4s_options_option(X10),h4s_options_some(s(X10,X9)))))=s(t_h4s_options_option(X11),h4s_options_some(s(X11,happ(s(t_fun(X10,X11),X7),s(X10,X9))))),file('i/f/llist/LNTH__THM_c2', ah4s_options_OPTIONu_u_MAPu_u_DEFu_c0)).
fof(7, axiom,![X10]:![X3]:![X12]:s(t_h4s_options_option(X10),happ(s(t_fun(t_h4s_llists_llist(X10),t_h4s_options_option(X10)),h4s_llists_lnth(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X3))))),s(t_h4s_llists_llist(X10),X12)))=s(t_h4s_options_option(X10),h4s_options_optionu_u_join(s(t_h4s_options_option(t_h4s_options_option(X10)),h4s_options_optionu_u_map(s(t_fun(t_h4s_llists_llist(X10),t_h4s_options_option(X10)),h4s_llists_lnth(s(t_h4s_nums_num,X3))),s(t_h4s_options_option(t_h4s_llists_llist(X10)),h4s_llists_ltl(s(t_h4s_llists_llist(X10),X12))))))),file('i/f/llist/LNTH__THM_c2', ah4s_llists_LNTH0u_c1)).
fof(8, axiom,![X11]:![X2]:![X4]:s(t_h4s_options_option(t_h4s_llists_llist(X11)),h4s_llists_ltl(s(t_h4s_llists_llist(X11),h4s_llists_lcons(s(X11,X4),s(t_h4s_llists_llist(X11),X2)))))=s(t_h4s_options_option(t_h4s_llists_llist(X11)),h4s_options_some(s(t_h4s_llists_llist(X11),X2))),file('i/f/llist/LNTH__THM_c2', ah4s_llists_LTLu_u_THMu_c1)).
fof(9, axiom,![X10]:![X9]:s(t_h4s_options_option(X10),h4s_options_optionu_u_join(s(t_h4s_options_option(t_h4s_options_option(X10)),h4s_options_some(s(t_h4s_options_option(X10),X9)))))=s(t_h4s_options_option(X10),X9),file('i/f/llist/LNTH__THM_c2', ah4s_options_OPTIONu_u_JOINu_u_DEFu_c1)).
# SZS output end CNFRefutation
