# SZS status Theorem
# SZS status Theorem
# SZS output start CNFRefutation.
fof(1, conjecture,![X1]:![X2]:~(p(s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),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_numeral(s(t_h4s_nums_num,X1))))))))))))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c2', ch4s_intu_u_ariths_INTu_u_LTu_u_ADDu_u_NUMERALu_c2)).
fof(11, axiom,![X7]:~(p(s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X7),s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c2', ah4s_primu_u_recs_NOTu_u_LESSu_u_0)).
fof(13, axiom,![X2]:s(t_bool,h4s_integers_intu_u_lt(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_neg(s(t_h4s_integers_int,X2)))))=s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_ofu_u_num(s(t_h4s_nums_num,h4s_nums_0))))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c2', ah4s_integers_INTu_u_NEGu_u_GT0)).
fof(14, axiom,![X1]:![X2]:s(t_bool,h4s_integers_intu_u_lt(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,h4s_integers_intu_u_add(s(t_h4s_integers_int,X2),s(t_h4s_integers_int,X1)))))=s(t_bool,h4s_integers_intu_u_lt(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,X1))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c2', ah4s_integers_INTu_u_LTu_u_ADDR)).
fof(15, axiom,![X7]:![X8]:s(t_bool,h4s_integers_intu_u_lt(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,X7)))))=s(t_bool,h4s_primu_u_recs_u_3c(s(t_h4s_nums_num,X8),s(t_h4s_nums_num,X7))),file('i/f/int_arith/INT__LT__ADD__NUMERAL_c2', ah4s_integers_INTu_u_LT)).
fof(16, 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/int_arith/INT__LT__ADD__NUMERAL_c2', ah4s_arithmetics_NUMERALu_u_DEF)).
# SZS output end CNFRefutation
