# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:((![X2]:![X3]: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_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_bool)),X1),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_nums_num,X2),s(t_h4s_integers_int,X3))))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),h4s_lists_nil))))&![X2]:![X3]:![X4]:![X5]:![X6]:(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_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_bool)),X1),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_nums_num,X2),s(t_h4s_integers_int,X3))))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X6))))=>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_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_bool)),X1),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_nums_num,X2),s(t_h4s_integers_int,X3))))),s(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),h4s_pairs_u_2c(s(t_h4s_nums_num,X4),s(t_h4s_integers_int,X5))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X6))))))))=>![X7]:![X8]:![X9]: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_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_bool)),X1),s(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int),h4s_pairs_u_2c(s(t_h4s_nums_num,X7),s(t_h4s_integers_int,X8))))),s(t_h4s_lists_list(t_h4s_pairs_prod(t_h4s_nums_num,t_h4s_integers_int)),X9))))),file('i/f/Omega/dark__shadow__cond__row__ind', ch4s_Omegas_darku_u_shadowu_u_condu_u_rowu_u_ind)).
fof(31, axiom,![X10]:![X28]:![X11]:?[X13]:?[X12]:s(t_h4s_pairs_prod(X10,X28),X11)=s(t_h4s_pairs_prod(X10,X28),h4s_pairs_u_2c(s(X10,X13),s(X28,X12))),file('i/f/Omega/dark__shadow__cond__row__ind', ah4s_pairs_ABSu_u_PAIRu_u_THM)).
fof(37, axiom,![X10]:![X1]:((p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X10),t_bool),X1),s(t_h4s_lists_list(X10),h4s_lists_nil))))&![X6]:(p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X10),t_bool),X1),s(t_h4s_lists_list(X10),X6))))=>![X39]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X10),t_bool),X1),s(t_h4s_lists_list(X10),h4s_lists_cons(s(X10,X39),s(t_h4s_lists_list(X10),X6))))))))=>![X38]:p(s(t_bool,happ(s(t_fun(t_h4s_lists_list(X10),t_bool),X1),s(t_h4s_lists_list(X10),X38))))),file('i/f/Omega/dark__shadow__cond__row__ind', ah4s_lists_listu_u_induction)).
# SZS output end CNFRefutation
