# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X1)))))))=s(t_bool,t),file('i/f/integer/INT__LE__REDUCE_c1', ch4s_integers_INTu_u_LEu_u_REDUCEu_c1)).
fof(2, axiom,![X2]:s(t_h4s_nums_num,h4s_arithmetics_numeral(s(t_h4s_nums_num,X2)))=s(t_h4s_nums_num,X2),file('i/f/integer/INT__LE__REDUCE_c1', ah4s_arithmetics_NUMERALu_u_DEF)).
fof(27, axiom,![X4]:(s(t_bool,X4)=s(t_bool,t)<=>p(s(t_bool,X4))),file('i/f/integer/INT__LE__REDUCE_c1', ah4s_bools_EQu_u_CLAUSESu_c1)).
fof(39, axiom,![X1]:p(s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,h4s_nums_0),s(t_h4s_nums_num,X1)))),file('i/f/integer/INT__LE__REDUCE_c1', ah4s_arithmetics_ZEROu_u_LESSu_u_EQ)).
fof(49, axiom,![X1]:![X8]:s(t_bool,h4s_integers_intu_u_le(s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X8))),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,X1)))))=s(t_bool,h4s_arithmetics_u_3cu_3d(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X1))),file('i/f/integer/INT__LE__REDUCE_c1', ah4s_integers_INTu_u_LE)).
fof(80, axiom,s(t_h4s_nums_num,h4s_arithmetics_zero)=s(t_h4s_nums_num,h4s_nums_0),file('i/f/integer/INT__LE__REDUCE_c1', ah4s_arithmetics_ALTu_u_ZERO)).
# SZS output end CNFRefutation
