# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_llists_llist(X1),h4s_llists_lflatten(s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),h4s_llists_lnil)))=s(t_h4s_llists_llist(X1),h4s_llists_lnil),file('i/f/llist/LFLATTEN__THM_c0', ch4s_llists_LFLATTENu_u_THMu_c0)).
fof(12, axiom,![X1]:![X6]:![X7]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X7),s(X1,X6)))=s(X1,X7),file('i/f/llist/LFLATTEN__THM_c0', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
fof(14, axiom,![X1]:s(t_h4s_options_option(X1),h4s_llists_lhd(s(t_h4s_llists_llist(X1),h4s_llists_lnil)))=s(t_h4s_options_option(X1),h4s_options_none),file('i/f/llist/LFLATTEN__THM_c0', ah4s_llists_LHDu_u_THMu_c0)).
fof(15, axiom,![X1]:s(t_h4s_options_option(t_h4s_llists_llist(X1)),h4s_llists_ltl(s(t_h4s_llists_llist(X1),h4s_llists_lnil)))=s(t_h4s_options_option(t_h4s_llists_llist(X1)),h4s_options_none),file('i/f/llist/LFLATTEN__THM_c0', ah4s_llists_LTLu_u_THMu_c0)).
fof(16, axiom,![X1]:![X11]:s(t_bool,h4s_llists_every(s(t_fun(X1,t_bool),X11),s(t_h4s_llists_llist(X1),h4s_llists_lnil)))=s(t_bool,t),file('i/f/llist/LFLATTEN__THM_c0', ah4s_llists_LLu_u_ALLu_u_THMu_c0)).
fof(17, axiom,![X1]:![X12]:?[X13]:((p(s(t_bool,X13))<=>s(t_h4s_llists_llist(X1),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(X1)),h4s_llists_lhd(s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),X12)))))=s(t_h4s_llists_llist(X1),h4s_llists_lnil))&s(t_h4s_llists_llist(X1),h4s_llists_lflatten(s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),X12)))=s(t_h4s_llists_llist(X1),h4s_bools_cond(s(t_bool,h4s_llists_every(s(t_fun(t_h4s_llists_llist(X1),t_bool),d_equals(s(t_h4s_llists_llist(X1),h4s_llists_lnil))),s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),X12))),s(t_h4s_llists_llist(X1),h4s_llists_lnil),s(t_h4s_llists_llist(X1),h4s_bools_cond(s(t_bool,X13),s(t_h4s_llists_llist(X1),h4s_llists_lflatten(s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(t_h4s_llists_llist(X1))),h4s_llists_ltl(s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),X12))))))),s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,h4s_options_the(s(t_h4s_options_option(X1),h4s_llists_lhd(s(t_h4s_llists_llist(X1),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(X1)),h4s_llists_lhd(s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),X12))))))))),s(t_h4s_llists_llist(X1),h4s_llists_lflatten(s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),h4s_llists_lcons(s(t_h4s_llists_llist(X1),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(X1)),h4s_llists_ltl(s(t_h4s_llists_llist(X1),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(X1)),h4s_llists_lhd(s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),X12))))))))),s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),h4s_options_the(s(t_h4s_options_option(t_h4s_llists_llist(t_h4s_llists_llist(X1))),h4s_llists_ltl(s(t_h4s_llists_llist(t_h4s_llists_llist(X1)),X12)))))))))))))))),file('i/f/llist/LFLATTEN__THM_c0', ah4s_llists_LFLATTEN0)).
# SZS output end CNFRefutation
