# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![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/exists__thm_c0', ch4s_llists_existsu_u_thmu_c0)).
fof(40, axiom,![X11]:(s(t_bool,X11)=s(t_bool,t)|s(t_bool,X11)=s(t_bool,f)),file('i/f/llist/exists__thm_c0', aHLu_BOOLu_CASES)).
fof(57, axiom,![X1]:![X35]:![X2]:(p(s(t_bool,h4s_llists_exists(s(t_fun(X1,t_bool),X2),s(t_h4s_llists_llist(X1),X35))))<=>(?[X31]:?[X11]:(s(t_h4s_llists_llist(X1),X35)=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X31),s(t_h4s_llists_llist(X1),X11)))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X2),s(X1,X31)))))|?[X31]:?[X11]:(s(t_h4s_llists_llist(X1),X35)=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X31),s(t_h4s_llists_llist(X1),X11)))&p(s(t_bool,h4s_llists_exists(s(t_fun(X1,t_bool),X2),s(t_h4s_llists_llist(X1),X11))))))),file('i/f/llist/exists__thm_c0', ah4s_llists_existsu_u_cases)).
fof(62, axiom,![X1]:![X11]:![X31]:~(s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X31),s(t_h4s_llists_llist(X1),X11)))=s(t_h4s_llists_llist(X1),h4s_llists_lnil)),file('i/f/llist/exists__thm_c0', ah4s_llists_LCONSu_u_NOTu_u_NILu_c0)).
fof(74, axiom,p(s(t_bool,t)),file('i/f/llist/exists__thm_c0', aHLu_TRUTH)).
# SZS output end CNFRefutation
