# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:((![X2]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_bool),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_bool)),X1),s(t_h4s_integers_int,X2))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),h4s_lists_nil))))&![X2]:![X3]:![X4]:![X5]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_bool),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_bool)),X1),s(t_h4s_integers_int,X2))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X5))))=>p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_bool),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_bool)),X1),s(t_h4s_integers_int,X2))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int))),happ(s(t_fun(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int),t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)))),h4s_lists_cons),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int),happ(s(t_fun(t_h4s_integers_int,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_integers_int,t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int))),h4s_pairs_u_2c),s(t_h4s_nums_num,X3))),s(t_h4s_integers_int,X4))))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X5))))))))=>![X6]:![X7]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_bool),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),t_bool)),X1),s(t_h4s_integers_int,X6))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X7))))),file('i/f/Omega/evalupper__ind', ch4s_Omegas_evalupperu_u_ind)).
fof(31, axiom,![X8]:![X28]:![X2]:?[X18]:?[X20]:s(t_h4s_pairs_prod(X8,X28),X2)=s(t_h4s_pairs_prod(X8,X28),happ(s(t_fun(X28,t_h4s_pairs_prod(X8,X28)),happ(s(t_fun(X8,t_fun(X28,t_h4s_pairs_prod(X8,X28))),h4s_pairs_u_2c),s(X8,X18))),s(X28,X20))),file('i/f/Omega/evalupper__ind', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(33, axiom,![X8]:![X1]:((p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X8),t_bool),X1),s(t_h4s_lists_list(X8),h4s_lists_nil))))&![X9]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X8),t_bool),X1),s(t_h4s_lists_list(X8),X9))))=>![X36]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X8),t_bool),X1),s(t_h4s_lists_list(X8),happ(s(t_fun(t_h4s_lists_list(X8),t_h4s_lists_list(X8)),happ(s(t_fun(X8,t_fun(t_h4s_lists_list(X8),t_h4s_lists_list(X8))),h4s_lists_cons),s(X8,X36))),s(t_h4s_lists_list(X8),X9))))))))=>![X37]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X8),t_bool),X1),s(t_h4s_lists_list(X8),X37))))),file('i/f/Omega/evalupper__ind', ah4s_lists_listu_u_induction)).
# SZS output end CNFRefutation
