# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X4))),s(t_h4s_lists_list(X1),X3))),s(t_h4s_lists_list(X2),h4s_lists_nil)))=s(t_bool,f),file('i/f/list/LIST__REL__def_c1', ch4s_lists_LISTu_u_RELu_u_defu_c1)).
fof(3, axiom,![X11]:![X12]:((p(s(t_bool,X12))=>p(s(t_bool,X11)))=>((p(s(t_bool,X11))=>p(s(t_bool,X12)))=>s(t_bool,X12)=s(t_bool,X11))),file('i/f/list/LIST__REL__def_c1', ah4s_bools_IMPu_u_ANTISYMu_u_AX)).
fof(35, axiom,~(p(s(t_bool,f))),file('i/f/list/LIST__REL__def_c1', aHLu_FALSITY)).
fof(42, axiom,![X16]:(s(t_bool,X16)=s(t_bool,f)<=>~(p(s(t_bool,X16)))),file('i/f/list/LIST__REL__def_c1', ah4s_bools_EQu_u_CLAUSESu_c3)).
fof(52, axiom,(p(s(t_bool,f))<=>![X16]:p(s(t_bool,X16))),file('i/f/list/LIST__REL__def_c1', ah4s_bools_Fu_u_DEF)).
fof(59, axiom,![X1]:![X2]:![X29]:![X31]:![X5]:(p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(t_h4s_lists_list(X1),X31),s(t_h4s_lists_list(X2),X29))))<=>((s(t_h4s_lists_list(X1),X31)=s(t_h4s_lists_list(X1),h4s_lists_nil)&s(t_h4s_lists_list(X2),X29)=s(t_h4s_lists_list(X2),h4s_lists_nil))|?[X40]:?[X41]:?[X12]:?[X11]:(s(t_h4s_lists_list(X1),X31)=s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X40))),s(t_h4s_lists_list(X1),X12)))&(s(t_h4s_lists_list(X2),X29)=s(t_h4s_lists_list(X2),happ(s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2)),happ(s(t_fun(X2,t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X2))),h4s_lists_cons),s(X2,X41))),s(t_h4s_lists_list(X2),X11)))&(p(s(t_bool,happ(s(t_fun(X2,t_bool),happ(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(X1,X40))),s(X2,X41))))&p(s(t_bool,h4s_lists_listu_u_rel(s(t_fun(X1,t_fun(X2,t_bool)),X5),s(t_h4s_lists_list(X1),X12),s(t_h4s_lists_list(X2),X11))))))))),file('i/f/list/LIST__REL__def_c1', ah4s_lists_LISTu_u_RELu_u_cases)).
fof(65, axiom,![X1]:![X29]:![X31]:~(s(t_h4s_lists_list(X1),h4s_lists_nil)=s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1)),happ(s(t_fun(X1,t_fun(t_h4s_lists_list(X1),t_h4s_lists_list(X1))),h4s_lists_cons),s(X1,X31))),s(t_h4s_lists_list(X1),X29)))),file('i/f/list/LIST__REL__def_c1', ah4s_lists_NOTu_u_NILu_u_CONS)).
fof(71, axiom,p(s(t_bool,t)),file('i/f/list/LIST__REL__def_c1', aHLu_TRUTH)).
fof(74, axiom,![X16]:(s(t_bool,X16)=s(t_bool,t)<=>p(s(t_bool,X16))),file('i/f/list/LIST__REL__def_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
# SZS output end CNFRefutation
