DIM = 8

CONE_SECTION
( 1) 1 1 1 1 1 1 1 1 
( 2) 0 1 1 0 1 0 1 1 
( 3) 0 0 1 1 1 0 0 1 
( 4) 0 0 0 1 1 1 1 1 
( 5) 0 0 0 0 1 0 1 1 
( 6) 0 1 1 1 1 1 1 1 
( 7) 0 0 0 0 0 1 1 1 
( 8) 0 0 0 0 0 0 1 1 
( 9) 0 0 0 0 0 0 0 1 
(10) 0 0 1 1 1 1 1 1 

COMMENT

This is an input file for PORTA.  (PORTA reads only the part before 
"COMMENT".)  Above are the sparse f-vectors of some half-Eulerian limit 
posets.  When the PORTA command "traf -v" is run on this file, it 
produces the output below: the list of inequalities and the strong 
validity table.

_________________________________________________________________________


DIM = 8

VALID
0 0 0 0 0 0 0 0 

INEQUALITIES_SECTION
(  1) -x1                      <= 0    
(  2)                   +x7-x8 <= 0    
(  3)          +x4-x5          <= 0    
(  4)       +x3   -x5          <= 0    
(  5)    +x2-x3                <= 0    
(  6) +x1-x2                   <= 0    
(  7)          -x4+x5+x6-x7    <= 0    
(  8)          +x4   -x6+x7-x8 <= 0    
(  9)    +x2-x3+x4   -x6       <= 0    
( 10) +x1-x2+x3-x4             <= 0    

strong validity table : 
\ P      |             |
 \ O     |             |
I \ I    |             |
 N \ N   | 1     6     | #
  E \ T  |             |
   Q \ S |             |
    S \  |             |
       \ |             |
---------------------------
1        | .**** ***** :  9
2        | **.** ***.* :  8
3        | *.**. ***** :  8
4        | ***.. ***** :  8
5        | **.** ****. :  8
6        | *.*** .**** :  8
7        | ***** **.** :  9
8        | ***** *.*.* :  8
9        | ***** *.**. :  8
10       | ***.* .**** :  8
          .................
#        | 98888 88988 

END