# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_h4s_integers_int,h4s_omegas_sumc(s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_nil),s(t_h4s_lists_list(t_h4s_integers_int),X1)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/Omega/sumc__thm_c0', ch4s_Omegas_sumcu_u_thmu_c0)).
fof(38, axiom,![X22]:![X23]:s(t_h4s_integers_int,h4s_omegas_sumc(s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_nil),s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_cons(s(t_h4s_integers_int,X23),s(t_h4s_lists_list(t_h4s_integers_int),X22)))))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/Omega/sumc__thm_c0', ah4s_Omegas_sumcu_u_defu_c1)).
fof(39, axiom,![X24]:s(t_h4s_integers_int,h4s_omegas_sumc(s(t_h4s_lists_list(t_h4s_integers_int),X24),s(t_h4s_lists_list(t_h4s_integers_int),h4s_lists_nil)))=s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),file('i/f/Omega/sumc__thm_c0', ah4s_Omegas_sumcu_u_defu_c0)).
fof(62, axiom,![X7]:![X37]:(s(t_h4s_lists_list(X7),X37)=s(t_h4s_lists_list(X7),h4s_lists_nil)|?[X36]:?[X9]:s(t_h4s_lists_list(X7),X37)=s(t_h4s_lists_list(X7),h4s_lists_cons(s(X7,X36),s(t_h4s_lists_list(X7),X9)))),file('i/f/Omega/sumc__thm_c0', ah4s_lists_listu_u_nchotomy)).
# SZS output end CNFRefutation
