# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:![X3]:![X4]:![X5]:s(t_h4s_integers_int,h4s_omegas_sumc(s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_map(s(t_fun(t_h4s_integers_int,t_h4s_integers_int),X3),s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_cons(s(t_h4s_integers_int,X5),s(t_h4s_lists_list(t_h4s_integers_int),X4))))),s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_cons(s(t_h4s_integers_int,X2),s(t_h4s_lists_list(t_h4s_integers_int),X1)))))=s(t_h4s_integers_int,happ(s(t_fun(t_h4s_integers_int,t_h4s_integers_int),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_integers_int)),h4s_integers_intu_u_add),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,happ(s(t_fun(t_h4s_integers_int,t_h4s_integers_int),X3),s(t_h4s_integers_int,X5))),s(t_h4s_integers_int,X2))))),s(t_h4s_integers_int,h4s_omegas_sumc(s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_map(s(t_fun(t_h4s_integers_int,t_h4s_integers_int),X3),s(t_h4s_lists_list(t_h4s_integers_int),X4))),s(t_h4s_lists_list(t_h4s_integers_int),X1))))),file('i/f/Omega/sumc__nonsingle', ch4s_Omegas_sumcu_u_nonsingle)).
fof(11, axiom,![X1]:![X2]:![X4]:![X5]:s(t_h4s_integers_int,h4s_omegas_sumc(s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_cons(s(t_h4s_integers_int,X5),s(t_h4s_lists_list(t_h4s_integers_int),X4))),s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_cons(s(t_h4s_integers_int,X2),s(t_h4s_lists_list(t_h4s_integers_int),X1)))))=s(t_h4s_integers_int,happ(s(t_fun(t_h4s_integers_int,t_h4s_integers_int),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_integers_int)),h4s_integers_intu_u_add),s(t_h4s_integers_int,h4s_integers_intu_u_mul(s(t_h4s_integers_int,X5),s(t_h4s_integers_int,X2))))),s(t_h4s_integers_int,h4s_omegas_sumc(s(t_h4s_lists_list(t_h4s_integers_int),X4),s(t_h4s_lists_list(t_h4s_integers_int),X1))))),file('i/f/Omega/sumc__nonsingle', ah4s_Omegas_sumcu_u_thmu_c2)).
fof(19, axiom,![X12]:![X6]:![X13]:![X20]:![X3]:s(t_h4s_lists_list(X12),h4s_lists_map(s(t_fun(X6,X12),X3),s(t_h4s_lists_list(X6),h4s_lists_cons(s(X6,X20),s(t_h4s_lists_list(X6),X13)))))=s(t_h4s_lists_list(X12),h4s_lists_cons(s(X12,happ(s(t_fun(X6,X12),X3),s(X6,X20))),s(t_h4s_lists_list(X12),h4s_lists_map(s(t_fun(X6,X12),X3),s(t_h4s_lists_list(X6),X13))))),file('i/f/Omega/sumc__nonsingle', ah4s_lists_MAP0u_c1)).
# SZS output end CNFRefutation
