# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(5, axiom,![X7]:![X8]:?[X9]:((p(s(t_bool,X9))<=>s(t_h4s_llists_llist(X7),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(X7)),h4s_llists_lhd(s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),X8)))))=s(t_h4s_llists_llist(X7),h4s_llists_lnil))&s(t_h4s_llists_llist(X7),h4s_llists_lflatten(s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),X8)))=s(t_h4s_llists_llist(X7),h4s_bools_cond(s(t_bool,h4s_llists_every(s(t_fun(t_h4s_llists_llist(X7),t_bool),d_equals(s(t_h4s_llists_llist(X7),h4s_llists_lnil))),s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),X8))),s(t_h4s_llists_llist(X7),h4s_llists_lnil),s(t_h4s_llists_llist(X7),h4s_bools_cond(s(t_bool,X9),s(t_h4s_llists_llist(X7),h4s_llists_lflatten(s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(t_h4s_llists_llist(X7))),h4s_llists_ltl(s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),X8))))))),s(t_h4s_llists_llist(X7),h4s_llists_lcons(s(X7,h4s_options_the(s(t_h4s_options_option(X7),h4s_llists_lhd(s(t_h4s_llists_llist(X7),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(X7)),h4s_llists_lhd(s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),X8))))))))),s(t_h4s_llists_llist(X7),h4s_llists_lflatten(s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),h4s_llists_lcons(s(t_h4s_llists_llist(X7),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(X7)),h4s_llists_ltl(s(t_h4s_llists_llist(X7),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(X7)),h4s_llists_lhd(s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),X8))))))))),s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(t_h4s_llists_llist(X7))),h4s_llists_ltl(s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),X8)))))))))))))))),file('i/f/llist/LFLATTEN__THM_c0', ah4s_llists_LFLATTEN0)).
fof(13, axiom,![X7]:![X17]:![X18]:s(X7,h4s_bools_cond(s(t_bool,t),s(X7,X18),s(X7,X17)))=s(X7,X18),file('i/f/llist/LFLATTEN__THM_c0', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(20, axiom,![X7]:s(t_h4s_options_option(X7),h4s_llists_lhd(s(t_h4s_llists_llist(X7),h4s_llists_lnil)))=s(t_h4s_options_option(X7),h4s_options_none),file('i/f/llist/LFLATTEN__THM_c0', ah4s_llists_LHDu_u_THMu_c0)).
fof(22, axiom,![X7]:s(t_h4s_options_option(t_h4s_llists_llist(X7)),h4s_llists_ltl(s(t_h4s_llists_llist(X7),h4s_llists_lnil)))=s(t_h4s_options_option(t_h4s_llists_llist(X7)),h4s_options_none),file('i/f/llist/LFLATTEN__THM_c0', ah4s_llists_LTLu_u_THMu_c0)).
fof(24, axiom,![X7]:![X19]:![X4]:s(t_h4s_llists_llist(X19),h4s_llists_lmap(s(t_fun(X7,X19),X4),s(t_h4s_llists_llist(X7),h4s_llists_lnil)))=s(t_h4s_llists_llist(X19),h4s_llists_lnil),file('i/f/llist/LFLATTEN__THM_c0', ah4s_llists_LMAP0u_c0)).
fof(98, axiom,![X7]:![X11]:s(t_bool,h4s_llists_every(s(t_fun(X7,t_bool),X11),s(t_h4s_llists_llist(X7),h4s_llists_lnil)))=s(t_bool,t),file('i/f/llist/LFLATTEN__THM_c0', ah4s_llists_everyu_u_thmu_c0)).
fof(133, conjecture,![X7]:s(t_h4s_llists_llist(X7),h4s_llists_lflatten(s(t_h4s_llists_llist(t_h4s_llists_llist(X7)),h4s_llists_lnil)))=s(t_h4s_llists_llist(X7),h4s_llists_lnil),file('i/f/llist/LFLATTEN__THM_c0', ch4s_llists_LFLATTENu_u_THMu_c0)).
# SZS output end CNFRefutation
