# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:((p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_bool),t_bool),X1),s(t_h4s_lists_list(t_bool),h4s_lists_nil))))&(![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_bool),t_bool),X1),s(t_h4s_lists_list(t_bool),X2))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_bool),t_bool),X1),s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_lists_list(t_bool),t_h4s_lists_list(t_bool)),happ(s(t_fun(t_bool,t_fun(t_h4s_lists_list(t_bool),t_h4s_lists_list(t_bool))),h4s_lists_cons),s(t_bool,f))),s(t_h4s_lists_list(t_bool),X2)))))))&![X2]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_bool),t_bool),X1),s(t_h4s_lists_list(t_bool),X2))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_bool),t_bool),X1),s(t_h4s_lists_list(t_bool),happ(s(t_fun(t_h4s_lists_list(t_bool),t_h4s_lists_list(t_bool)),happ(s(t_fun(t_bool,t_fun(t_h4s_lists_list(t_bool),t_h4s_lists_list(t_bool))),h4s_lists_cons),s(t_bool,t))),s(t_h4s_lists_list(t_bool),X2)))))))))=>![X3]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_bool),t_bool),X1),s(t_h4s_lists_list(t_bool),X3))))),file('i/f/int_bitwise/num__of__bits__ind', ch4s_intu_u_bitwises_numu_u_ofu_u_bitsu_u_ind)).
fof(2, axiom,![X4]:![X5]:((p(s(t_bool,X5))=>p(s(t_bool,X4)))=>((p(s(t_bool,X4))=>p(s(t_bool,X5)))=>s(t_bool,X5)=s(t_bool,X4))),file('i/f/int_bitwise/num__of__bits__ind', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(17, axiom,p(s(t_bool,t)),file('i/f/int_bitwise/num__of__bits__ind', aHLu_TRUTH)).
fof(18, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)|s(t_bool,X7)=s(t_bool,f)),file('i/f/int_bitwise/num__of__bits__ind', aHLu_BOOLu_CASES)).
fof(27, axiom,![X7]:(s(t_bool,X7)=s(t_bool,t)<=>p(s(t_bool,X7))),file('i/f/int_bitwise/num__of__bits__ind', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(40, axiom,~(p(s(t_bool,f))),file('i/f/int_bitwise/num__of__bits__ind', aHLu_FALSITY)).
fof(43, axiom,![X7]:(s(t_bool,f)=s(t_bool,X7)<=>~(p(s(t_bool,X7)))),file('i/f/int_bitwise/num__of__bits__ind', ah4s_bools_EQu_u_CLAUSESu_c2)).
fof(50, axiom,![X6]:![X1]:((p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X6),t_bool),X1),s(t_h4s_lists_list(X6),h4s_lists_nil))))&![X7]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X6),t_bool),X1),s(t_h4s_lists_list(X6),X7))))=>![X24]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X6),t_bool),X1),s(t_h4s_lists_list(X6),happ(s(t_fun(t_h4s_lists_list(X6),t_h4s_lists_list(X6)),happ(s(t_fun(X6,t_fun(t_h4s_lists_list(X6),t_h4s_lists_list(X6))),h4s_lists_cons),s(X6,X24))),s(t_h4s_lists_list(X6),X7))))))))=>![X25]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X6),t_bool),X1),s(t_h4s_lists_list(X6),X25))))),file('i/f/int_bitwise/num__of__bits__ind', ah4s_lists_listu_u_INDUCT)).
# SZS output end CNFRefutation
