Trac #28287: alarm test failure in CombinatorialPolyhedron.f_vector

Ever since the merging of #26887 I get this one test failure:

{{{
sage -t --long --warn-long 157.3
src/sage/geometry/polyhedron/combinatorial_polyhedron/base.pyx
**********************************************************************
File "src/sage/geometry/polyhedron/combinatorial_polyhedron/base.pyx",
line 1132, in sage.geometry.polyhedron.combinatorial_polyhedron.base.Com
binatorialPolyhedron.f_vector
Failed example:
    try:
        alarm(0.5)
        C.f_vector()
    except:
        print("alarm!")
Expected:
    alarm!
Got:
    (1,
     25,
     300,
     2300,
     12650,
     53130,
     177100,
     480700,
     1081575,
     2042975,
     3268760,
     4457400,
     5200300,
     5200300,
     4457400,
     3268760,
     2042975,
     1081575,
     480700,
     177100,
     53130,
     12650,
     2300,
     300,
     25,
     1)
**********************************************************************
1 item had failures:
   1 of  12 in sage.geometry.polyhedron.combinatorial_polyhedron.base.Co
mbinatorialPolyhedron.f_vector
    [324 tests, 1 failure, 6.49 s]
}}}

It's a minor issue, but I mark the ticket priority as "critical" as this
is likely to affect others as well, and constitutes a regression.
There's no way to guarantee that 0.5 seconds, or any amount of time
really, is short enough to trigger the alarm as soon as the test
requires (though if nothing else it should be a shorter time).  I did
check, to be certain, that lowering the alarm time in this test does
cause it to pass for me. But that's no guarantee it won't still fail on
an even faster machine.

Although, if as [https://trac.sagemath.org/ticket/26887#comment:184 this
comment] states, there is no explicit reason for these tests, I would
just remove them.

URL: https://trac.sagemath.org/28287
Reported by: embray
Ticket author(s): Jonathan Kliem
Reviewer(s): Erik Bray

src/sage/geometry/polyhedron/combinatorial_polyhedron/base.pyx

@@ -594,26 +594,6 @@ cdef class CombinatorialPolyhedron(SageObject):
             sage: P = Polyhedron(rays=[[1,0,0],[0,1,0],[0,0,1],[0,0,-1]])
             sage: CombinatorialPolyhedron(P).dimension()
             3
-
-        TESTS::
-
-            sage: from itertools import combinations
-            sage: N = combinations(range(1200), 1199)
-            sage: C = CombinatorialPolyhedron(N)
-            sage: try:
-            ....:     alarm(0.1)
-            ....:     C.dimension()
-            ....: except:
-            ....:     print("alarm!")
-            ....:
-            alarm!
-            sage: try:
-            ....:     alarm(0.1)
-            ....:     C.f_vector()
-            ....: except:
-            ....:     print("alarm!")
-            ....:
-            alarm!
         """
         if self._dimension == -2:
             # Dimension not computed yet.
@@ -909,21 +889,6 @@ cdef class CombinatorialPolyhedron(SageObject):
              ('b', 'c'),
              ('a', 'c'),
              ('a', 'b'))
-
-        TESTS::
-
-            sage: from itertools import combinations
-            sage: N = combinations(range(200),199)
-            sage: C = CombinatorialPolyhedron(N)
-            sage: try:
-            ....:     alarm(0.1)
-            ....:     C.edges()
-            ....: except:
-            ....:     print("alarm!")
-            ....:
-            alarm!
-            sage: len(C.edges())
-            19900
         """
         cdef size_t len_edge_list = self._length_edges_list
         if self._edges is NULL:
@@ -1061,21 +1026,6 @@ cdef class CombinatorialPolyhedron(SageObject):
             sage: it = C.face_iter(0)
             sage: for face in it: face.Hrepr()
             (An inequality (1, 0) x + 0 >= 0, An equation (0, 1) x + 0 == 0)
-
-        TESTS::
-
-            sage: from itertools import combinations
-            sage: N = combinations(range(200),199)
-            sage: C = CombinatorialPolyhedron(N)
-            sage: try:
-            ....:     alarm(0.1)
-            ....:     C.ridges()
-            ....: except:
-            ....:     print("alarm!")
-            ....:
-            alarm!
-            sage: len(C.ridges())
-            19900
         """
         cdef size_t len_ridge_list = self._length_edges_list
         if self._ridges is NULL:
@@ -1167,46 +1117,6 @@ cdef class CombinatorialPolyhedron(SageObject):
             sage: C = CombinatorialPolyhedron(P)
             sage: C.f_vector()
             (1, 10, 45, 120, 185, 150, 50, 1)
-
-        TESTS::
-
-            sage: from itertools import combinations
-            sage: N = combinations(range(25),24)
-            sage: C = CombinatorialPolyhedron(N)
-            sage: try:
-            ....:     alarm(0.5)
-            ....:     C.f_vector()
-            ....: except:
-            ....:     print("alarm!")
-            ....:
-            alarm!
-            sage: C.f_vector()  # long time
-            (1,
-             25,
-             300,
-             2300,
-             12650,
-             53130,
-             177100,
-             480700,
-             1081575,
-             2042975,
-             3268760,
-             4457400,
-             5200300,
-             5200300,
-             4457400,
-             3268760,
-             2042975,
-             1081575,
-             480700,
-             177100,
-             53130,
-             12650,
-             2300,
-             300,
-             25,
-             1)
         """
         if not self._f_vector:
             self._compute_f_vector()