# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,s(t_h4s_totos_cpn,happ(s(t_fun(t_h4s_integers_int,t_h4s_totos_cpn),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_totos_cpn)),h4s_inttos_intord),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_zero))))),s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_zero)))))))=s(t_h4s_totos_cpn,h4s_totos_equal),file('i/f/intto/ZERO__eq__neg__ZERO__thm', ch4s_inttos_ZEROu_u_equ_u_negu_u_ZEROu_u_thm)).
fof(20, axiom,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/intto/ZERO__eq__neg__ZERO__thm', ah4s_totos_numeralOrdu_c0)).
fof(46, axiom,![X24]:![X25]:(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X24)))=s(t_h4s_integers_int,h4s_integers_intu_u_neg(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X25)))))<=>(s(t_h4s_nums_num,X24)=s(t_h4s_nums_num,h4s_nums_0)&s(t_h4s_nums_num,X25)=s(t_h4s_nums_num,h4s_nums_0))),file('i/f/intto/ZERO__eq__neg__ZERO__thm', ah4s_integers_INTu_u_EQu_u_CALCULATEu_c2)).
fof(52, axiom,![X24]:![X25]:s(t_h4s_totos_cpn,happ(s(t_fun(t_h4s_integers_int,t_h4s_totos_cpn),happ(s(t_fun(t_h4s_integers_int,t_fun(t_h4s_integers_int,t_h4s_totos_cpn)),h4s_inttos_intord),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X25))))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X24)))))=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,X25))),s(t_h4s_nums_num,X24))),file('i/f/intto/ZERO__eq__neg__ZERO__thm', ah4s_inttos_posu_u_posu_u_thm)).
fof(55, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/intto/ZERO__eq__neg__ZERO__thm', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
