# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:s(t_bool,h4s_llists_every(s(t_fun(X1,t_bool),X2),s(t_h4s_llists_llist(X1),h4s_llists_lnil)))=s(t_bool,t),file('i/f/llist/every__thm_c0', ch4s_llists_everyu_u_thmu_c0)).
fof(3, axiom,~(p(s(t_bool,f))),file('i/f/llist/every__thm_c0', aHLu_FALSITY)).
fof(4, axiom,![X3]:(s(t_bool,X3)=s(t_bool,t)|s(t_bool,X3)=s(t_bool,f)),file('i/f/llist/every__thm_c0', aHLu_BOOLu_CASES)).
fof(9, 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/every__thm_c0', ah4s_llists_existsu_u_thmu_c0)).
fof(10, axiom,![X1]:![X6]:![X2]:(p(s(t_bool,h4s_llists_every(s(t_fun(X1,t_bool),X2),s(t_h4s_llists_llist(X1),X6))))<=>~(p(s(t_bool,h4s_llists_exists(s(t_fun(X1,t_bool),h4s_combins_o(s(t_fun(t_bool,t_bool),d_not),s(t_fun(X1,t_bool),X2))),s(t_h4s_llists_llist(X1),X6)))))),file('i/f/llist/every__thm_c0', ah4s_llists_everyu_u_def)).
# SZS output end CNFRefutation
