# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:s(t_h4s_lists_list(X1),h4s_lists_listu_u_apply(s(t_h4s_lists_list(t_fun(X2,X1)),h4s_lists_cons(s(t_fun(X2,X1),X4),s(t_h4s_lists_list(t_fun(X2,X1)),h4s_lists_nil))),s(t_h4s_lists_list(X2),X3)))=s(t_h4s_lists_list(X1),happ(s(t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X1)),happ(s(t_fun(t_fun(X2,X1),t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X1))),h4s_lists_map),s(t_fun(X2,X1),X4))),s(t_h4s_lists_list(X2),X3))),file('i/f/list/SINGL__APPLY__MAP', ch4s_lists_SINGLu_u_APPLYu_u_MAP)).
fof(8, axiom,![X10]:![X1]:![X2]:![X11]:![X9]:![X4]:s(X10,happ(s(t_fun(X1,X10),h4s_combins_c(s(t_fun(X1,t_fun(X2,X10)),X4),s(X2,X9))),s(X1,X11)))=s(X10,happ(s(t_fun(X2,X10),happ(s(t_fun(X1,t_fun(X2,X10)),X4),s(X1,X11))),s(X2,X9))),file('i/f/list/SINGL__APPLY__MAP', ah4s_combins_Cu_u_THM)).
fof(9, axiom,![X1]:![X2]:![X9]:![X4]:s(t_h4s_lists_list(X1),h4s_lists_listu_u_bind(s(t_h4s_lists_list(X2),h4s_lists_cons(s(X2,X9),s(t_h4s_lists_list(X2),h4s_lists_nil))),s(t_fun(X2,t_h4s_lists_list(X1)),X4)))=s(t_h4s_lists_list(X1),happ(s(t_fun(X2,t_h4s_lists_list(X1)),X4),s(X2,X9))),file('i/f/list/SINGL__APPLY__MAP', ah4s_lists_SINGLu_u_LISTu_u_APPLYu_u_L)).
fof(10, axiom,![X1]:![X2]:![X12]:![X13]:s(t_h4s_lists_list(X1),h4s_lists_listu_u_apply(s(t_h4s_lists_list(t_fun(X2,X1)),X13),s(t_h4s_lists_list(X2),X12)))=s(t_h4s_lists_list(X1),h4s_lists_listu_u_bind(s(t_h4s_lists_list(t_fun(X2,X1)),X13),s(t_fun(t_fun(X2,X1),t_h4s_lists_list(X1)),h4s_combins_c(s(t_fun(t_fun(X2,X1),t_fun(t_h4s_lists_list(X2),t_h4s_lists_list(X1))),h4s_lists_map),s(t_h4s_lists_list(X2),X12))))),file('i/f/list/SINGL__APPLY__MAP', ah4s_lists_LISTu_u_APPLYu_u_DEF)).
# SZS output end CNFRefutation
