# 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,happ(s(t_fun(t_h4s_nums_num,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),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,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(2, axiom,p(s(t_bool,t0)),file('i/f/Encode/lift__blist__suc', aHLu_TRUTH)).
fof(9, axiom,![X2]:(s(t_bool,X2)=s(t_bool,t0)<=>p(s(t_bool,X2))),file('i/f/Encode/lift__blist__suc', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(27, axiom,![X1]:![X18]:![X9]:(?[X6]:(s(X1,X6)=s(X1,X18)&p(s(t_bool,happ(s(t_fun(X1,t_bool),X9),s(X1,X6)))))<=>p(s(t_bool,happ(s(t_fun(X1,t_bool),X9),s(X1,X18))))),file('i/f/Encode/lift__blist__suc', ah4s_bools_UNWINDu_u_THM2)).
fof(42, axiom,![X4]:![X25]:(s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X25)))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,t_h4s_nums_num),h4s_nums_suc),s(t_h4s_nums_num,X4)))<=>s(t_h4s_nums_num,X25)=s(t_h4s_nums_num,X4)),file('i/f/Encode/lift__blist__suc', ah4s_primu_u_recs_INVu_u_SUCu_u_EQ)).
fof(44, axiom,![X1]:![X6]:![X3]:![X25]:(p(s(t_bool,h4s_encodes_liftu_u_blist(s(t_h4s_nums_num,X25),s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),X6))))<=>(p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X3),s(t_h4s_lists_list(X1),X6))))&s(t_h4s_nums_num,h4s_lists_length(s(t_h4s_lists_list(X1),X6)))=s(t_h4s_nums_num,X25))),file('i/f/Encode/lift__blist__suc', ah4s_Encodes_liftu_u_blistu_u_def)).
fof(55, axiom,![X1]:![X2]:![X5]:s(t_h4s_nums_num,h4s_lists_length(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,X5))),s(t_h4s_lists_list(X1),X2)))))=s(t_h4s_nums_num,happ(s(t_fun(t_h4s_nums_num,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)).
fof(72, axiom,![X1]:![X2]:![X5]:![X9]:(p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X9),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,X5))),s(t_h4s_lists_list(X1),X2))))))<=>(p(s(t_bool,happ(s(t_fun(X1,t_bool),X9),s(X1,X5))))&p(s(t_bool,h4s_lists_every(s(t_fun(X1,t_bool),X9),s(t_h4s_lists_list(X1),X2)))))),file('i/f/Encode/lift__blist__suc', ah4s_lists_EVERYu_u_DEFu_c1)).
# SZS output end CNFRefutation
