# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,h4s_encodes_liftu_u_blist(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4))),s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X5),s(t_h4s_lists_list(X1),X2))))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X3),s(X1,X5))))&p(s(t_bool,h4s_encodes_liftu_u_blist(s(t_h4s_nums_num,X4),s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),X2)))))),file('i/f/Encode/lift__blist__suc', ch4s_Encodes_liftu_u_blistu_u_suc)).
fof(7, axiom,![X1]:![X2]:![X5]:![X10]:(p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X10),s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X5),s(t_h4s_lists_list(X1),X2))))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X10),s(X1,X5))))&p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X10),s(t_h4s_lists_list(X1),X2)))))),file('i/f/Encode/lift__blist__suc', ah4s_lists_EVERYu_u_DEFu_c1)).
fof(8, axiom,![X1]:![X9]:![X3]:![X11]:(p(s(t_bool,h4s_encodes_liftu_u_blist(s(t_h4s_nums_num,X11),s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),X9))))<=>(p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),X9))))&s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X9)))=s(t_h4s_nums_num,X11))),file('i/f/Encode/lift__blist__suc', ah4s_Encodes_liftu_u_blistu_u_def)).
fof(10, axiom,![X4]:![X11]:(s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X11)))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,X4)))<=>s(t_h4s_nums_num,X11)=s(t_h4s_nums_num,X4)),file('i/f/Encode/lift__blist__suc', ah4s_primu_u_recs_INVu_u_SUCu_u_EQ)).
fof(11, axiom,![X1]:![X2]:![X5]:s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),h4s_lists_cons(s(X1,X5),s(t_h4s_lists_list(X1),X2)))))=s(t_h4s_nums_num,h4s_nums_suc(s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X2))))),file('i/f/Encode/lift__blist__suc', ah4s_lists_LENGTH0u_c1)).
# SZS output end CNFRefutation
