parser doesn't fail, skipper doesn't skip - boost-spirit-x3

Question

I have problem's with my grammar. I'm not sure why the date get parsed and why i doesn't need the lexeme parser.
Full Example
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#define BOOST_SPIRIT_X3_DEBUG
#include <iostream>
#include <string>
#include <boost/spirit/home/x3.hpp>
namespace x3 = boost::spirit::x3;
namespace grammar
{
using namespace x3;
auto const term_ = rule<struct term_>{"term"}
= lexeme[ (lit("ppl_") | lit("type ") | lit("group ")) >> int_ ];
auto const entry_ = rule<struct entry_>{"entry"}
= +(term_ | float_);
auto const start_ = rule<struct start_>{"start"}
= (term_ >> entry_) % eol;
}
int main(int argc, const char * argv[])
{
std::string s{"ppl_1,group 2,type 1,2016-01-02"};
auto beg = std::begin(s);
auto end = std::end(s);
auto ret = x3::phrase_parse(beg, end, grammar::start_, x3::char_(','));
if(ret && beg == end)
std::cout << "all done\n";
else
std::cout << "Unparsed part's : '" << std::string(beg, std::next(beg, 10)) << "'\n";
return 0;
}
Output:
<start>
<try>ppl_1,group 2,type 1</try>
<term>
<try>ppl_1,group 2,type 1</try>
<success>,group 2,type 1,2016</success>
</term>
<entry>
<try>,group 2,type 1,2016</try>
<term>
<try>,group 2,type 1,2016</try>
<success>,type 1,2016-01-02</success>
</term>
<term>
<try>,type 1,2016-01-02</try>
<success>,2016-01-02</success>
</term>
<term>
<try>,2016-01-02</try>
<fail/>
</term>
<term>
<try>-01-02</try>
<fail/>
</term>
<term>
<try>-02</try>
<fail/>
</term>
<term>
<try></try>
<fail/>
</term>
<success></success>
</entry>
<success></success>
</start>
all done
Without the lexeme parser:
changed the rule term_ to:
auto const term_ = rule<struct term_>{"term"}
= (lit("ppl_") | lit("type ") | lit("group ")) >> int_ ;
I thought the skipper would try to skip after the lit() ?
<start>
<try>ppl_1,group 2,type 1</try>
<term>
<try>ppl_1,group 2,type 1</try>
<success>,group 2,type 1,2016</success>
</term>
<entry>
<try>,group 2,type 1,2016</try>
<term>
<try>,group 2,type 1,2016</try>
<success>,type 1,2016-01-02</success>
</term>
<term>
<try>,type 1,2016-01-02</try>
<success>,2016-01-02</success>
</term>
<term>
<try>,2016-01-02</try>
<fail/>
</term>
<term>
<try>-01-02</try>
<fail/>
</term>
<term>
<try>-02</try>
<fail/>
</term>
<term>
<try></try>
<fail/>
</term>
<success></success>
</entry>
<success></success>
</start>
all done

Answer 1

After the comment from jv_ who answered my question, here the working gramma:
namespace grammar
{
using namespace x3;
auto const date_ = rule<struct date_>{"time"}
= int_ >> '-' >> int_ >> '-' >> int_;
auto const term_ = rule<struct term_>{"term"}
= (lit("ppl_") | lit("type ") | lit("group ")) >> int_;
auto const entry_ = rule<struct entry_>{"entry"}
= (term_ | date_ | float_) % ',';
auto const start_ = rule<struct start_>{"start"}
= (term_ >> ',' >> entry_) % eol;
}
and the parser call without the skipper:
auto ret = x3::parse(beg, end, grammar::start_, peoples);