There is no ternary (or 'chained') > operator in C or C++. Thus your expression evaluates to ((a>b)>c) as evaluation is done left to right.
In C, true expressions evaluate to 1, and false ones to 0. In C++ my recollection is that they evaluate to boolean true or false, but then these type convert to 1 or 0 anyway, so the situation is much the same.
Using that principle, a>b will evaluate to 1 if a>b and to 0 otherwise. Therefore if a>b, the entire expression evaluates to 1>c, else to 0>c. As c is more than one, neither 1>c nor 0>c are true, and the output is always 0, or false, and the program will print False.
To achieve what I strongly suspect you really want, use ((a>b) && (b>c)).