# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_totos_cpn,happ(s(t_fun(t_h4s_nums_num,t_h4s_totos_cpn),happ(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_totos_cpn)),h4s_totos_numord),s(t_h4s_nums_num,h4s_arithmetics_zero))),s(t_h4s_nums_num,h4s_arithmetics_zero)))=s(t_h4s_totos_cpn,h4s_totos_equal),file('i/f/toto/numeralOrd_c0', ch4s_totos_numeralOrdu_c0)).
fof(32, axiom,![X6]:![X7]:![X5]:![X20]:(s(t_h4s_totos_cpn,happ(s(t_fun(X6,t_h4s_totos_cpn),happ(s(t_fun(X6,t_fun(X6,t_h4s_totos_cpn)),h4s_totos_apto(s(t_h4s_totos_toto(X6),X20))),s(X6,X5))),s(X6,X7)))=s(t_h4s_totos_cpn,h4s_totos_equal)<=>s(X6,X5)=s(X6,X7)),file('i/f/toto/numeralOrd_c0', ah4s_totos_totou_u_equalu_u_eq)).
fof(67, axiom,s(t_h4s_totos_toto(t_h4s_nums_num),h4s_totos_numto)=s(t_h4s_totos_toto(t_h4s_nums_num),h4s_totos_to(s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_totos_cpn)),h4s_totos_numord))),file('i/f/toto/numeralOrd_c0', ah4s_totos_numto0)).
fof(70, axiom,s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_totos_cpn)),h4s_totos_apto(s(t_h4s_totos_toto(t_h4s_nums_num),h4s_totos_numto)))=s(t_fun(t_h4s_nums_num,t_fun(t_h4s_nums_num,t_h4s_totos_cpn)),h4s_totos_numord),file('i/f/toto/numeralOrd_c0', ah4s_totos_apnumtou_u_thm)).
# SZS output end CNFRefutation
