# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:(p(s(t_bool,happ(s(t_fun(X1,t_bool),X4),s(X1,X3))))=>p(s(t_bool,h4s_llists_exists(s(t_fun(X1,t_bool),X4),s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X3),s(t_h4s_llists_llist(X1),X2))))))),file('i/f/llist/exists__rules_c0', ch4s_llists_existsu_u_rulesu_c0)).
fof(31, axiom,![X1]:![X9]:![X21]:(p(s(t_bool,h4s_llists_exists(s(t_fun(X1,t_bool),X9),s(t_h4s_llists_llist(X1),X21))))<=>![X22]:(![X23]:((?[X3]:?[X2]:(s(t_h4s_llists_llist(X1),X23)=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X3),s(t_h4s_llists_llist(X1),X2)))&p(s(t_bool,happ(s(t_fun(X1,t_bool),X9),s(X1,X3)))))|?[X3]:?[X2]:(s(t_h4s_llists_llist(X1),X23)=s(t_h4s_llists_llist(X1),h4s_llists_lcons(s(X1,X3),s(t_h4s_llists_llist(X1),X2)))&p(s(t_bool,happ(s(t_fun(t_h4s_llists_llist(X1),t_bool),X22),s(t_h4s_llists_llist(X1),X2))))))=>p(s(t_bool,happ(s(t_fun(t_h4s_llists_llist(X1),t_bool),X22),s(t_h4s_llists_llist(X1),X23)))))=>p(s(t_bool,happ(s(t_fun(t_h4s_llists_llist(X1),t_bool),X22),s(t_h4s_llists_llist(X1),X21)))))),file('i/f/llist/exists__rules_c0', ah4s_llists_existsu_u_def)).
# SZS output end CNFRefutation
