# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_h4s_llists_llist(X1),h4s_llists_lfilter(s(t_fun(X1,t_bool),X2),s(t_h4s_llists_llist(X1),h4s_llists_lnil)))=s(t_h4s_llists_llist(X1),h4s_llists_lnil),file('i/f/llist/LFILTER__THM_c0', ch4s_llists_LFILTERu_u_THMu_c0)).
fof(37, axiom,![X1]:![X2]:s(t_bool,h4s_llists_exists(s(t_fun(X1,t_bool),X2),s(t_h4s_llists_llist(X1),h4s_llists_lnil)))=s(t_bool,f),file('i/f/llist/LFILTER__THM_c0', ah4s_llists_existsu_u_thmu_c0)).
fof(48, axiom,![X1]:![X35]:![X2]:?[X36]:((p(s(t_bool,X36))<=>~(p(s(t_bool,h4s_llists_exists(s(t_fun(X1,t_bool),X2),s(t_h4s_llists_llist(X1),X35))))))&s(t_h4s_llists_llist(X1),h4s_llists_lfilter(s(t_fun(X1,t_bool),X2),s(t_h4s_llists_llist(X1),X35)))=s(t_h4s_llists_llist(X1),h4s_bools_cond(s(t_bool,X36),s(t_h4s_llists_llist(X1),h4s_llists_lnil),s(t_h4s_llists_llist(X1),h4s_bools_cond(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,h4s_options_the(s(t_h4s_options_option(X1),h4s_llists_lhd(s(t_h4s_llists_llist(X1),X35))))))),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),X35))))),s(t_h4s_llists_llist(X1),h4s_llists_lfilter(s(t_fun(X1,t_bool),X2),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),X35))))))))),s(t_h4s_llists_llist(X1),h4s_llists_lfilter(s(t_fun(X1,t_bool),X2),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),X35)))))))))))),file('i/f/llist/LFILTER__THM_c0', ah4s_llists_LFILTER0)).
fof(50, axiom,~(p(s(t_bool,f))),file('i/f/llist/LFILTER__THM_c0', aHLu_FALSITY)).
fof(57, axiom,![X11]:(s(t_bool,t)=s(t_bool,X11)<=>p(s(t_bool,X11))),file('i/f/llist/LFILTER__THM_c0', ah4s_bools_EQu_u_CLAUSESu_c0)).
fof(80, axiom,![X1]:![X9]:![X10]:s(X1,h4s_bools_cond(s(t_bool,t),s(X1,X10),s(X1,X9)))=s(X1,X10),file('i/f/llist/LFILTER__THM_c0', ah4s_bools_boolu_u_caseu_u_thmu_c0)).
# SZS output end CNFRefutation
