Min_number = ( 0 ) ; Max_number = ( 5 )
In original model number_of_states = ( 41 ); number_of_transition = ( 100 ) 

Original Transition
0 --- 1  -> (x)
0 --- 4  -> ((-1)*x+(1))
1 --- 36  -> (z11)/(z11+z12+z13+z14+z15)
1 --- 37  -> (z12)/(z11+z12+z13+z14+z15)
1 --- 38  -> (z13)/(z11+z12+z13+z14+z15)
1 --- 39  -> (z14)/(z11+z12+z13+z14+z15)
1 --- 40  -> (z15)/(z11+z12+z13+z14+z15)
2 --- 31  -> (z21)/(z21+z22+z23+z24+z25)
2 --- 32  -> (z22)/(z21+z22+z23+z24+z25)
2 --- 33  -> (z23)/(z21+z22+z23+z24+z25)
2 --- 34  -> (z24)/(z21+z22+z23+z24+z25)
2 --- 35  -> (z25)/(z21+z22+z23+z24+z25)
3 --- 26  -> (z31)/(z31+z32+z33+z34+z35)
3 --- 27  -> (z32)/(z31+z32+z33+z34+z35)
3 --- 28  -> (z33)/(z31+z32+z33+z34+z35)
3 --- 29  -> (z34)/(z31+z32+z33+z34+z35)
3 --- 30  -> (z35)/(z31+z32+z33+z34+z35)
4 --- 21  -> (z41)/(z41+z42+z43+z44+z45)
4 --- 22  -> (z42)/(z41+z42+z43+z44+z45)
4 --- 23  -> (z43)/(z41+z42+z43+z44+z45)
4 --- 24  -> (z44)/(z41+z42+z43+z44+z45)
4 --- 25  -> (z45)/(z41+z42+z43+z44+z45)
5 --- 16  -> (z51)/(z51+z52+z53+z54+z55)
5 --- 17  -> (z52)/(z51+z52+z53+z54+z55)
5 --- 18  -> (z53)/(z51+z52+z53+z54+z55)
5 --- 19  -> (z54)/(z51+z52+z53+z54+z55)
5 --- 20  -> (z55)/(z51+z52+z53+z54+z55)
6 --- 11  -> (z61)/(z61+z62+z63+z64+z65)
6 --- 12  -> (z62)/(z61+z62+z63+z64+z65)
6 --- 13  -> (z63)/(z61+z62+z63+z64+z65)
6 --- 14  -> (z64)/(z61+z62+z63+z64+z65)
6 --- 15  -> (z65)/(z61+z62+z63+z64+z65)
7 --- 1  -> (y2)
7 --- 3  -> ((-1)*y1-y2+(1))
7 --- 5  -> (y1)
8 --- 0  -> (z2)
8 --- 4  -> ((-1)*z1-z2+(1))
8 --- 5  -> (z1)
9 --- 9  -> (1)
10 --- 0  -> (1)
11 --- 9  -> ((-1)*p61+(1))
11 --- 10  -> (p61)
12 --- 9  -> ((-1)*p62+(1))
12 --- 10  -> (p62)
13 --- 9  -> ((-1)*p63+(1))
13 --- 10  -> (p63)
14 --- 9  -> ((-1)*p64+(1))
14 --- 10  -> (p64)
15 --- 9  -> ((-1)*p65+(1))
15 --- 10  -> (p65)
16 --- 6  -> (p51)
16 --- 9  -> ((-1)*p51+(1))
17 --- 6  -> (p52)
17 --- 9  -> ((-1)*p52+(1))
18 --- 6  -> (p53)
18 --- 9  -> ((-1)*p53+(1))
19 --- 6  -> (p54)
19 --- 9  -> ((-1)*p54+(1))
20 --- 6  -> (p55)
20 --- 9  -> ((-1)*p55+(1))
21 --- 8  -> (p41)
21 --- 9  -> ((-1)*p41+(1))
22 --- 8  -> (p42)
22 --- 9  -> ((-1)*p42+(1))
23 --- 8  -> (p43)
23 --- 9  -> ((-1)*p43+(1))
24 --- 8  -> (p44)
24 --- 9  -> ((-1)*p44+(1))
25 --- 8  -> (p45)
25 --- 9  -> ((-1)*p45+(1))
26 --- 6  -> (p31)
26 --- 9  -> ((-1)*p31+(1))
27 --- 6  -> (p32)
27 --- 9  -> ((-1)*p32+(1))
28 --- 6  -> (p33)
28 --- 9  -> ((-1)*p33+(1))
29 --- 6  -> (p34)
29 --- 9  -> ((-1)*p34+(1))
30 --- 6  -> (p35)
30 --- 9  -> ((-1)*p35+(1))
31 --- 7  -> (p21)
31 --- 9  -> ((-1)*p21+(1))
32 --- 7  -> (p22)
32 --- 9  -> ((-1)*p22+(1))
33 --- 7  -> (p23)
33 --- 9  -> ((-1)*p23+(1))
34 --- 7  -> (p24)
34 --- 9  -> ((-1)*p24+(1))
35 --- 7  -> (p25)
35 --- 9  -> ((-1)*p25+(1))
36 --- 2  -> (p11)
36 --- 9  -> ((-1)*p11+(1))
37 --- 2  -> (p12)
37 --- 9  -> ((-1)*p12+(1))
38 --- 2  -> (p13)
38 --- 9  -> ((-1)*p13+(1))
39 --- 2  -> (p14)
39 --- 9  -> ((-1)*p14+(1))
40 --- 2  -> (p15)
40 --- 9  -> ((-1)*p15+(1))


In New Model number of states = ( 58 ); number of transition = ( 119 ) 

New transition
0 --- 1  -> (x)
0 --- 4  -> ((-1)*x+(1))
1 --- 36  -> (z11)/(z11+z12+z13+z14+z15)
1 --- 37  -> (z12)/(z11+z12+z13+z14+z15)
1 --- 38  -> (z13)/(z11+z12+z13+z14+z15)
1 --- 39  -> (z14)/(z11+z12+z13+z14+z15)
1 --- 40  -> (z15)/(z11+z12+z13+z14+z15)
2 --- 31  -> (z21)/(z21+z22+z23+z24+z25)
2 --- 32  -> (z22)/(z21+z22+z23+z24+z25)
2 --- 33  -> (z23)/(z21+z22+z23+z24+z25)
2 --- 34  -> (z24)/(z21+z22+z23+z24+z25)
2 --- 35  -> (z25)/(z21+z22+z23+z24+z25)
3 --- 26  -> (z31)/(z31+z32+z33+z34+z35)
3 --- 27  -> (z32)/(z31+z32+z33+z34+z35)
3 --- 28  -> (z33)/(z31+z32+z33+z34+z35)
3 --- 29  -> (z34)/(z31+z32+z33+z34+z35)
3 --- 30  -> (z35)/(z31+z32+z33+z34+z35)
6 --- 11  -> (z61)/(z61+z62+z63+z64+z65)
6 --- 12  -> (z62)/(z61+z62+z63+z64+z65)
6 --- 13  -> (z63)/(z61+z62+z63+z64+z65)
6 --- 14  -> (z64)/(z61+z62+z63+z64+z65)
6 --- 15  -> (z65)/(z61+z62+z63+z64+z65)
7 --- 1  -> (y2)
7 --- 5  -> (y1)
9 --- 9  -> (1)
10 --- 0  -> (1)
11 --- 9  -> ((-1)*p61+(1))
11 --- 10  -> (p61)
12 --- 9  -> ((-1)*p62+(1))
12 --- 10  -> (p62)
13 --- 9  -> ((-1)*p63+(1))
13 --- 10  -> (p63)
14 --- 9  -> ((-1)*p64+(1))
14 --- 10  -> (p64)
15 --- 9  -> ((-1)*p65+(1))
15 --- 10  -> (p65)
16 --- 6  -> (p51)
16 --- 9  -> ((-1)*p51+(1))
17 --- 6  -> (p52)
17 --- 9  -> ((-1)*p52+(1))
18 --- 6  -> (p53)
18 --- 9  -> ((-1)*p53+(1))
19 --- 6  -> (p54)
19 --- 9  -> ((-1)*p54+(1))
20 --- 6  -> (p55)
20 --- 9  -> ((-1)*p55+(1))
21 --- 8  -> (p41)
22 --- 8  -> (p42)
23 --- 8  -> (p43)
24 --- 8  -> (p44)
25 --- 8  -> (p45)
26 --- 6  -> (p31)
26 --- 9  -> ((-1)*p31+(1))
27 --- 6  -> (p32)
27 --- 9  -> ((-1)*p32+(1))
28 --- 6  -> (p33)
28 --- 9  -> ((-1)*p33+(1))
29 --- 6  -> (p34)
29 --- 9  -> ((-1)*p34+(1))
30 --- 6  -> (p35)
30 --- 9  -> ((-1)*p35+(1))
31 --- 7  -> (p21)
32 --- 7  -> (p22)
33 --- 7  -> (p23)
34 --- 7  -> (p24)
35 --- 7  -> (p25)
36 --- 2  -> (p11)
37 --- 2  -> (p12)
38 --- 2  -> (p13)
39 --- 2  -> (p14)
40 --- 2  -> (p15)
8 --- 21  -> ( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43+z44+z45) )
8 --- 22  -> ( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43+z44+z45) )
8 --- 23  -> ( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43+z44+z45) )
8 --- 24  -> ( ((-1)*z1-z2+(1)) ) * ( (z44)/(z41+z42+z43+z44+z45) )
8 --- 25  -> ( ((-1)*z1-z2+(1)) ) * ( (z45)/(z41+z42+z43+z44+z45) )
7 --- 41  -> ((-1)*y1-y2+(1))
41 --- 3  -> 1
32 --- 42  -> ((-1)*p22+(1))
42 --- 9  -> 1
33 --- 43  -> ((-1)*p23+(1))
43 --- 9  -> 1
34 --- 44  -> ((-1)*p24+(1))
44 --- 9  -> 1
35 --- 45  -> ((-1)*p25+(1))
45 --- 9  -> 1
8 --- 16  -> ( (z1) ) * ( (z51)/(z51+z52+z53+z54+z55) )
8 --- 17  -> ( (z1) ) * ( (z52)/(z51+z52+z53+z54+z55) )
8 --- 18  -> ( (z1) ) * ( (z53)/(z51+z52+z53+z54+z55) )
8 --- 19  -> ( (z1) ) * ( (z54)/(z51+z52+z53+z54+z55) )
8 --- 20  -> ( (z1) ) * ( (z55)/(z51+z52+z53+z54+z55) )
31 --- 46  -> ((-1)*p21+(1))
46 --- 9  -> 1
36 --- 47  -> ((-1)*p11+(1))
47 --- 9  -> 1
37 --- 48  -> ((-1)*p12+(1))
48 --- 9  -> 1
38 --- 49  -> ((-1)*p13+(1))
49 --- 9  -> 1
39 --- 50  -> ((-1)*p14+(1))
50 --- 9  -> 1
40 --- 51  -> ((-1)*p15+(1))
51 --- 9  -> 1
8 --- 52  -> (z2)
52 --- 0  -> 1
4 --- 8  ->     ( (z41)/(z41+z42+z43+z44+z45) ) * ( (p41) ) + ( (z42)/(z41+z42+z43+z44+z45) ) * ( (p42) )  + ( (z43)/(z41+z42+z43+z44+z45) ) * ( (p43) )  + ( (z44)/(z41+z42+z43+z44+z45) ) * ( (p44) )  + ( (z45)/(z41+z42+z43+z44+z45) ) * ( (p45) ) 
4 --- 9  ->     ( (z41)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p41+(1)) ) + ( (z42)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p42+(1)) )  + ( (z43)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p43+(1)) )  + ( (z44)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p44+(1)) )  + ( (z45)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p45+(1)) ) 
5 --- 6  ->     ( (z51)/(z51+z52+z53+z54+z55) ) * ( (p51) ) + ( (z52)/(z51+z52+z53+z54+z55) ) * ( (p52) )  + ( (z53)/(z51+z52+z53+z54+z55) ) * ( (p53) )  + ( (z54)/(z51+z52+z53+z54+z55) ) * ( (p54) )  + ( (z55)/(z51+z52+z53+z54+z55) ) * ( (p55) ) 
5 --- 9  ->     ( (z51)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p51+(1)) ) + ( (z52)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p52+(1)) )  + ( (z53)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p53+(1)) )  + ( (z54)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p54+(1)) )  + ( (z55)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p55+(1)) ) 
21 --- 53  -> ((-1)*p41+(1))
53 --- 9  -> 1
22 --- 54  -> ((-1)*p42+(1))
54 --- 9  -> 1
23 --- 55  -> ((-1)*p43+(1))
55 --- 9  -> 1
24 --- 56  -> ((-1)*p44+(1))
56 --- 9  -> 1
25 --- 57  -> ((-1)*p45+(1))
57 --- 9  -> 1


State--Fragment Number--visited--startingPoint--endingPoint
   0          1          true        true          false
   1          1          true        false          false
   2          1          true        false          false
   3          4          true        true          true
   4          1          true        false          true
   5          1          true        false          true
   6          2          true        true          false
   7          1          true        false          false
   8          3          true        true          false
   9          5          true        true          true
   10          6          true        true          true
   11          2          true        false          true
   12          2          true        false          true
   13          2          true        false          true
   14          2          true        false          true
   15          2          true        false          true
   16          3          true        false          true
   17          3          true        false          true
   18          3          true        false          true
   19          3          true        false          true
   20          3          true        false          true
   21          3          true        false          false
   22          3          true        false          false
   23          3          true        false          false
   24          3          true        false          false
   25          3          true        false          false
   26          7          true        true          true
   27          8          true        true          true
   28          9          true        true          true
   29          10          true        true          true
   30          11          true        true          true
   31          1          true        false          false
   32          1          true        false          false
   33          1          true        false          false
   34          1          true        false          false
   35          1          true        false          false
   36          1          true        false          false
   37          1          true        false          false
   38          1          true        false          false
   39          1          true        false          false
   40          1          true        false          false
   41          1          true        false          true
   42          1          true        false          true
   43          1          true        false          true
   44          1          true        false          true
   45          1          true        false          true
   46          1          true        false          true
   47          1          true        false          true
   48          1          true        false          true
   49          1          true        false          true
   50          1          true        false          true
   51          1          true        false          true
   52          3          true        false          true
   53          3          true        false          true
   54          3          true        false          true
   55          3          true        false          true
   56          3          true        false          true
   57          3          true        false          true

This is transition in Fragment (1) 
    [0, 1]  (x)
    [0, 4]  ((-1)*x+(1))
    [1, 36]  (z11)/(z11+z12+z13+z14+z15)
    [1, 37]  (z12)/(z11+z12+z13+z14+z15)
    [1, 38]  (z13)/(z11+z12+z13+z14+z15)
    [1, 39]  (z14)/(z11+z12+z13+z14+z15)
    [1, 40]  (z15)/(z11+z12+z13+z14+z15)
    [2, 31]  (z21)/(z21+z22+z23+z24+z25)
    [2, 32]  (z22)/(z21+z22+z23+z24+z25)
    [2, 33]  (z23)/(z21+z22+z23+z24+z25)
    [2, 34]  (z24)/(z21+z22+z23+z24+z25)
    [2, 35]  (z25)/(z21+z22+z23+z24+z25)
    [7, 1]  (y2)
    [7, 5]  (y1)
    [31, 7]  (p21)
    [32, 7]  (p22)
    [33, 7]  (p23)
    [34, 7]  (p24)
    [35, 7]  (p25)
    [36, 2]  (p11)
    [37, 2]  (p12)
    [38, 2]  (p13)
    [39, 2]  (p14)
    [40, 2]  (p15)
    [7, 41]  ((-1)*y1-y2+(1))
    [32, 42]  ((-1)*p22+(1))
    [33, 43]  ((-1)*p23+(1))
    [34, 44]  ((-1)*p24+(1))
    [35, 45]  ((-1)*p25+(1))
    [31, 46]  ((-1)*p21+(1))
    [36, 47]  ((-1)*p11+(1))
    [37, 48]  ((-1)*p12+(1))
    [38, 49]  ((-1)*p13+(1))
    [39, 50]  ((-1)*p14+(1))
    [40, 51]  ((-1)*p15+(1))
    [4, 4]  1
    [5, 5]  1
    [41, 41]  1
    [42, 42]  1
    [43, 43]  1
    [44, 44]  1
    [45, 45]  1
    [46, 46]  1
    [47, 47]  1
    [48, 48]  1
    [49, 49]  1
    [50, 50]  1
    [51, 51]  1

This is transition in Fragment (2) 
    [6, 11]  (z61)/(z61+z62+z63+z64+z65)
    [6, 12]  (z62)/(z61+z62+z63+z64+z65)
    [6, 13]  (z63)/(z61+z62+z63+z64+z65)
    [6, 14]  (z64)/(z61+z62+z63+z64+z65)
    [6, 15]  (z65)/(z61+z62+z63+z64+z65)
    [11, 11]  1
    [12, 12]  1
    [13, 13]  1
    [14, 14]  1
    [15, 15]  1

This is transition in Fragment (3) 
    [21, 8]  (p41)
    [22, 8]  (p42)
    [23, 8]  (p43)
    [24, 8]  (p44)
    [25, 8]  (p45)
    [8, 21]  ( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43+z44+z45) )
    [8, 22]  ( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43+z44+z45) )
    [8, 23]  ( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43+z44+z45) )
    [8, 24]  ( ((-1)*z1-z2+(1)) ) * ( (z44)/(z41+z42+z43+z44+z45) )
    [8, 25]  ( ((-1)*z1-z2+(1)) ) * ( (z45)/(z41+z42+z43+z44+z45) )
    [8, 16]  ( (z1) ) * ( (z51)/(z51+z52+z53+z54+z55) )
    [8, 17]  ( (z1) ) * ( (z52)/(z51+z52+z53+z54+z55) )
    [8, 18]  ( (z1) ) * ( (z53)/(z51+z52+z53+z54+z55) )
    [8, 19]  ( (z1) ) * ( (z54)/(z51+z52+z53+z54+z55) )
    [8, 20]  ( (z1) ) * ( (z55)/(z51+z52+z53+z54+z55) )
    [8, 52]  (z2)
    [21, 53]  ((-1)*p41+(1))
    [22, 54]  ((-1)*p42+(1))
    [23, 55]  ((-1)*p43+(1))
    [24, 56]  ((-1)*p44+(1))
    [25, 57]  ((-1)*p45+(1))
    [16, 16]  1
    [17, 17]  1
    [18, 18]  1
    [19, 19]  1
    [20, 20]  1
    [52, 52]  1
    [53, 53]  1
    [54, 54]  1
    [55, 55]  1
    [56, 56]  1
    [57, 57]  1

This is transition in Fragment (4) 
    [3, 3]  1

This is transition in Fragment (5) 
    [9, 9]  1

This is transition in Fragment (6) 
    [10, 10]  1

This is transition in Fragment (7) 
    [26, 26]  1

This is transition in Fragment (8) 
    [27, 27]  1

This is transition in Fragment (9) 
    [28, 28]  1

This is transition in Fragment (10) 
    [29, 29]  1

This is transition in Fragment (11) 
    [30, 30]  1

This is transition for abstract model 
    [3, 26]  (z31)/(z31+z32+z33+z34+z35)
    [3, 27]  (z32)/(z31+z32+z33+z34+z35)
    [3, 28]  (z33)/(z31+z32+z33+z34+z35)
    [3, 29]  (z34)/(z31+z32+z33+z34+z35)
    [3, 30]  (z35)/(z31+z32+z33+z34+z35)
    [9, 9]  (1)
    [10, 0]  (1)
    [11, 9]  ( ((-1)*p61+(1)) ) * ( prob_f2_s11 )
    [11, 10]  ( (p61) ) * ( prob_f2_s11 )
    [12, 9]  ( ((-1)*p62+(1)) ) * ( prob_f2_s12 )
    [12, 10]  ( (p62) ) * ( prob_f2_s12 )
    [13, 9]  ( ((-1)*p63+(1)) ) * ( prob_f2_s13 )
    [13, 10]  ( (p63) ) * ( prob_f2_s13 )
    [14, 9]  ( ((-1)*p64+(1)) ) * ( prob_f2_s14 )
    [14, 10]  ( (p64) ) * ( prob_f2_s14 )
    [15, 9]  ( ((-1)*p65+(1)) ) * ( prob_f2_s15 )
    [15, 10]  ( (p65) ) * ( prob_f2_s15 )
    [16, 6]  ( (p51) ) * ( prob_f3_s16 )
    [16, 9]  ( ((-1)*p51+(1)) ) * ( prob_f3_s16 )
    [17, 6]  ( (p52) ) * ( prob_f3_s17 )
    [17, 9]  ( ((-1)*p52+(1)) ) * ( prob_f3_s17 )
    [18, 6]  ( (p53) ) * ( prob_f3_s18 )
    [18, 9]  ( ((-1)*p53+(1)) ) * ( prob_f3_s18 )
    [19, 6]  ( (p54) ) * ( prob_f3_s19 )
    [19, 9]  ( ((-1)*p54+(1)) ) * ( prob_f3_s19 )
    [20, 6]  ( (p55) ) * ( prob_f3_s20 )
    [20, 9]  ( ((-1)*p55+(1)) ) * ( prob_f3_s20 )
    [26, 6]  (p31)
    [26, 9]  ((-1)*p31+(1))
    [27, 6]  (p32)
    [27, 9]  ((-1)*p32+(1))
    [28, 6]  (p33)
    [28, 9]  ((-1)*p33+(1))
    [29, 6]  (p34)
    [29, 9]  ((-1)*p34+(1))
    [30, 6]  (p35)
    [30, 9]  ((-1)*p35+(1))
    [41, 3]  ( 1 ) * ( prob_f1_s41 )
    [42, 9]  ( 1 ) * ( prob_f1_s42 )
    [43, 9]  ( 1 ) * ( prob_f1_s43 )
    [44, 9]  ( 1 ) * ( prob_f1_s44 )
    [45, 9]  ( 1 ) * ( prob_f1_s45 )
    [46, 9]  ( 1 ) * ( prob_f1_s46 )
    [47, 9]  ( 1 ) * ( prob_f1_s47 )
    [48, 9]  ( 1 ) * ( prob_f1_s48 )
    [49, 9]  ( 1 ) * ( prob_f1_s49 )
    [50, 9]  ( 1 ) * ( prob_f1_s50 )
    [51, 9]  ( 1 ) * ( prob_f1_s51 )
    [52, 0]  ( 1 ) * ( prob_f3_s52 )
    [4, 8]  (     ( (z41)/(z41+z42+z43+z44+z45) ) * ( (p41) ) + ( (z42)/(z41+z42+z43+z44+z45) ) * ( (p42) )  + ( (z43)/(z41+z42+z43+z44+z45) ) * ( (p43) )  + ( (z44)/(z41+z42+z43+z44+z45) ) * ( (p44) )  + ( (z45)/(z41+z42+z43+z44+z45) ) * ( (p45) )  ) * ( prob_f1_s4 )
    [4, 9]  (     ( (z41)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p41+(1)) ) + ( (z42)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p42+(1)) )  + ( (z43)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p43+(1)) )  + ( (z44)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p44+(1)) )  + ( (z45)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p45+(1)) )  ) * ( prob_f1_s4 )
    [5, 6]  (     ( (z51)/(z51+z52+z53+z54+z55) ) * ( (p51) ) + ( (z52)/(z51+z52+z53+z54+z55) ) * ( (p52) )  + ( (z53)/(z51+z52+z53+z54+z55) ) * ( (p53) )  + ( (z54)/(z51+z52+z53+z54+z55) ) * ( (p54) )  + ( (z55)/(z51+z52+z53+z54+z55) ) * ( (p55) )  ) * ( prob_f1_s5 )
    [5, 9]  (     ( (z51)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p51+(1)) ) + ( (z52)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p52+(1)) )  + ( (z53)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p53+(1)) )  + ( (z54)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p54+(1)) )  + ( (z55)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p55+(1)) )  ) * ( prob_f1_s5 )
    [53, 9]  ( 1 ) * ( prob_f3_s53 )
    [54, 9]  ( 1 ) * ( prob_f3_s54 )
    [55, 9]  ( 1 ) * ( prob_f3_s55 )
    [56, 9]  ( 1 ) * ( prob_f3_s56 )
    [57, 9]  ( 1 ) * ( prob_f3_s57 )
****************************The expressions start from here; Copying following expressions to MATLAB; Providing values for the parameters needed; Checking the result of <Output_abstract_model> ******
P1_0_1 = ((x)); 
P1_0_2 = (((-1)*x+(1))); 
P1_1_3 = ((z11)/(z11+z12+z13+z14+z15)); 
P1_1_4 = ((z12)/(z11+z12+z13+z14+z15)); 
P1_1_5 = ((z13)/(z11+z12+z13+z14+z15)); 
P1_1_6 = ((z14)/(z11+z12+z13+z14+z15)); 
P1_1_7 = ((z15)/(z11+z12+z13+z14+z15)); 
P1_2_8 = ((z21)/(z21+z22+z23+z24+z25)); 
P1_2_9 = ((z22)/(z21+z22+z23+z24+z25)); 
P1_2_10 = ((z23)/(z21+z22+z23+z24+z25)); 
P1_2_11 = ((z24)/(z21+z22+z23+z24+z25)); 
P1_2_12 = ((z25)/(z21+z22+z23+z24+z25)); 
P1_7_13 = ((y2)); 
P1_7_14 = ((y1)); 
P1_7_25 = (((-1)*y1-y2+(1))); 
P1_31_15 = ((p21)); 
P1_31_30 = (((-1)*p21+(1))); 
P1_32_16 = ((p22)); 
P1_32_26 = (((-1)*p22+(1))); 
P1_33_17 = ((p23)); 
P1_33_27 = (((-1)*p23+(1))); 
P1_34_18 = ((p24)); 
P1_34_28 = (((-1)*p24+(1))); 
P1_35_19 = ((p25)); 
P1_35_29 = (((-1)*p25+(1))); 
P1_36_20 = ((p11)); 
P1_36_31 = (((-1)*p11+(1))); 
P1_37_21 = ((p12)); 
P1_37_32 = (((-1)*p12+(1))); 
P1_38_22 = ((p13)); 
P1_38_33 = (((-1)*p13+(1))); 
P1_39_23 = ((p14)); 
P1_39_34 = (((-1)*p14+(1))); 
P1_40_24 = ((p15)); 
P1_40_35 = (((-1)*p15+(1))); 

prob_f1_s4  =( (P1_0_2)/(1)); 
prob_f1_s5  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_14+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_14+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_14+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_14+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_14+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_14+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_14+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_14+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_14+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_14+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_14+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_14+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_14+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_14+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_14+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_14+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_14+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_14+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_14+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_14+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_14+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_14+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_14+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_14+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_14)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s41  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_25+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_25+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_25+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_25+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_25+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_25+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_25+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_25+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_25+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_25+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_25+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_25+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_25+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_25+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_25+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_25+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_25+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_25+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_25+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_25+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_25+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_25+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_25+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_25+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_25)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s42  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_24*P1_2_9*P1_32_26+P1_1_5*P1_38_22*P1_2_9*P1_32_26+P1_1_4*P1_37_21*P1_2_9*P1_32_26+P1_1_3*P1_36_20*P1_2_9*P1_32_26+P1_1_6*P1_39_23*P1_2_9*P1_32_26)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s43  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_24*P1_2_10*P1_33_27+P1_1_5*P1_38_22*P1_2_10*P1_33_27+P1_1_4*P1_37_21*P1_2_10*P1_33_27+P1_1_3*P1_36_20*P1_2_10*P1_33_27+P1_1_6*P1_39_23*P1_2_10*P1_33_27)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s44  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_24*P1_2_11*P1_34_28+P1_1_5*P1_38_22*P1_2_11*P1_34_28+P1_1_4*P1_37_21*P1_2_11*P1_34_28+P1_1_3*P1_36_20*P1_2_11*P1_34_28+P1_1_6*P1_39_23*P1_2_11*P1_34_28)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s45  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_24*P1_2_12*P1_35_29+P1_1_5*P1_38_22*P1_2_12*P1_35_29+P1_1_4*P1_37_21*P1_2_12*P1_35_29+P1_1_3*P1_36_20*P1_2_12*P1_35_29+P1_1_6*P1_39_23*P1_2_12*P1_35_29)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s46  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_24*P1_2_8*P1_31_30+P1_1_5*P1_38_22*P1_2_8*P1_31_30+P1_1_4*P1_37_21*P1_2_8*P1_31_30+P1_1_3*P1_36_20*P1_2_8*P1_31_30+P1_1_6*P1_39_23*P1_2_8*P1_31_30)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s47  =( (-1 * ((P1_0_1) * (P1_1_3*P1_36_31)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s48  =( (-1 * ((P1_0_1) * (P1_1_4*P1_37_32)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s49  =( (-1 * ((P1_0_1) * (P1_1_5*P1_38_33)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s50  =( (-1 * ((P1_0_1) * (P1_1_6*P1_39_34)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
prob_f1_s51  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_35)))/(P1_1_7*P1_40_24*P1_2_12*P1_35_19*P1_7_13+P1_1_4*P1_37_21*P1_2_12*P1_35_19*P1_7_13+P1_1_5*P1_38_22*P1_2_12*P1_35_19*P1_7_13+P1_1_6*P1_39_23*P1_2_12*P1_35_19*P1_7_13+P1_1_3*P1_36_20*P1_2_12*P1_35_19*P1_7_13+P1_1_7*P1_40_24*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_9*P1_32_16*P1_7_13+P1_1_4*P1_37_21*P1_2_9*P1_32_16*P1_7_13+P1_1_5*P1_38_22*P1_2_9*P1_32_16*P1_7_13+P1_1_6*P1_39_23*P1_2_9*P1_32_16*P1_7_13+P1_1_3*P1_36_20*P1_2_9*P1_32_16*P1_7_13+P1_1_7*P1_40_24*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_10*P1_33_17*P1_7_13+P1_1_5*P1_38_22*P1_2_10*P1_33_17*P1_7_13+P1_1_6*P1_39_23*P1_2_10*P1_33_17*P1_7_13+P1_1_3*P1_36_20*P1_2_10*P1_33_17*P1_7_13+P1_1_4*P1_37_21*P1_2_11*P1_34_18*P1_7_13+P1_1_5*P1_38_22*P1_2_11*P1_34_18*P1_7_13+P1_1_6*P1_39_23*P1_2_11*P1_34_18*P1_7_13+P1_1_3*P1_36_20*P1_2_11*P1_34_18*P1_7_13+P1_1_7*P1_40_24*P1_2_8*P1_31_15*P1_7_13+P1_1_4*P1_37_21*P1_2_8*P1_31_15*P1_7_13+P1_1_5*P1_38_22*P1_2_8*P1_31_15*P1_7_13+P1_1_6*P1_39_23*P1_2_8*P1_31_15*P1_7_13+P1_1_3*P1_36_20*P1_2_8*P1_31_15*P1_7_13+(-1))); 
P2_6_1 = ((z61)/(z61+z62+z63+z64+z65)); 
P2_6_2 = ((z62)/(z61+z62+z63+z64+z65)); 
P2_6_3 = ((z63)/(z61+z62+z63+z64+z65)); 
P2_6_4 = ((z64)/(z61+z62+z63+z64+z65)); 
P2_6_5 = ((z65)/(z61+z62+z63+z64+z65)); 

prob_f2_s11  =( (P2_6_1)/(1)); 
prob_f2_s12  =( (P2_6_2)/(1)); 
prob_f2_s13  =( (P2_6_3)/(1)); 
prob_f2_s14  =( (P2_6_4)/(1)); 
prob_f2_s15  =( (P2_6_5)/(1)); 
P3_8_6 = (( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43+z44+z45) )); 
P3_8_7 = (( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43+z44+z45) )); 
P3_8_8 = (( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43+z44+z45) )); 
P3_8_9 = (( ((-1)*z1-z2+(1)) ) * ( (z44)/(z41+z42+z43+z44+z45) )); 
P3_8_10 = (( ((-1)*z1-z2+(1)) ) * ( (z45)/(z41+z42+z43+z44+z45) )); 
P3_8_11 = (( (z1) ) * ( (z51)/(z51+z52+z53+z54+z55) )); 
P3_8_12 = (( (z1) ) * ( (z52)/(z51+z52+z53+z54+z55) )); 
P3_8_13 = (( (z1) ) * ( (z53)/(z51+z52+z53+z54+z55) )); 
P3_8_14 = (( (z1) ) * ( (z54)/(z51+z52+z53+z54+z55) )); 
P3_8_15 = (( (z1) ) * ( (z55)/(z51+z52+z53+z54+z55) )); 
P3_8_16 = ((z2)); 
P3_21_1 = ((p41)); 
P3_21_17 = (((-1)*p41+(1))); 
P3_22_2 = ((p42)); 
P3_22_18 = (((-1)*p42+(1))); 
P3_23_3 = ((p43)); 
P3_23_19 = (((-1)*p43+(1))); 
P3_24_4 = ((p44)); 
P3_24_20 = (((-1)*p44+(1))); 
P3_25_5 = ((p45)); 
P3_25_21 = (((-1)*p45+(1))); 

prob_f3_s16  =( (-1 * (P3_8_11))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_6*P3_21_1+P3_8_7*P3_22_2+P3_8_8*P3_23_3+(-1))); 
prob_f3_s17  =( (-1 * (P3_8_12))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_6*P3_21_1+P3_8_7*P3_22_2+P3_8_8*P3_23_3+(-1))); 
prob_f3_s18  =( (-1 * (P3_8_13))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_6*P3_21_1+P3_8_7*P3_22_2+P3_8_8*P3_23_3+(-1))); 
prob_f3_s19  =( (-1 * (P3_8_14))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_6*P3_21_1+P3_8_7*P3_22_2+P3_8_8*P3_23_3+(-1))); 
prob_f3_s20  =( (-1 * (P3_8_15))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_6*P3_21_1+P3_8_7*P3_22_2+P3_8_8*P3_23_3+(-1))); 
prob_f3_s52  =( (-1 * (P3_8_16))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_6*P3_21_1+P3_8_7*P3_22_2+P3_8_8*P3_23_3+(-1))); 
prob_f3_s53  =( (-1 * ((P3_8_6) * (P3_21_17)))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_8*P3_23_3+P3_8_7*P3_22_2+P3_8_6*P3_21_1+(-1))); 
prob_f3_s54  =( (-1 * ((P3_8_7) * (P3_22_18)))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_8*P3_23_3+P3_8_7*P3_22_2+P3_8_6*P3_21_1+(-1))); 
prob_f3_s55  =( (-1 * ((P3_8_8) * (P3_23_19)))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_8*P3_23_3+P3_8_7*P3_22_2+P3_8_6*P3_21_1+(-1))); 
prob_f3_s56  =( (-1 * ((P3_8_9) * (P3_24_20)))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_8*P3_23_3+P3_8_7*P3_22_2+P3_8_6*P3_21_1+(-1))); 
prob_f3_s57  =( (-1 * ((P3_8_10) * (P3_25_21)))/(P3_8_10*P3_25_5+P3_8_9*P3_24_4+P3_8_6*P3_21_1+P3_8_7*P3_22_2+P3_8_8*P3_23_3+(-1))); 
PX_0_22 = (( 1 ) * ( prob_f1_s41 )); 
PX_0_23 = (           ( 1 ) * ( prob_f1_s42 ) + ( 1 ) * ( prob_f1_s43 )  + ( 1 ) * ( prob_f1_s44 )  + ( 1 ) * ( prob_f1_s45 )  + ( 1 ) * ( prob_f1_s46 )  + ( 1 ) * ( prob_f1_s47 )  + ( 1 ) * ( prob_f1_s48 )  + ( 1 ) * ( prob_f1_s49 )  + ( 1 ) * ( prob_f1_s50 )  + ( 1 ) * ( prob_f1_s51 )  + (     ( (z41)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p41+(1)) ) + ( (z42)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p42+(1)) )  + ( (z43)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p43+(1)) )  + ( (z44)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p44+(1)) )  + ( (z45)/(z41+z42+z43+z44+z45) ) * ( ((-1)*p45+(1)) )  ) * ( prob_f1_s4 )  + (     ( (z51)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p51+(1)) ) + ( (z52)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p52+(1)) )  + ( (z53)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p53+(1)) )  + ( (z54)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p54+(1)) )  + ( (z55)/(z51+z52+z53+z54+z55) ) * ( ((-1)*p55+(1)) )  ) * ( prob_f1_s5 ) );
PX_0_25 = ((     ( (z41)/(z41+z42+z43+z44+z45) ) * ( (p41) ) + ( (z42)/(z41+z42+z43+z44+z45) ) * ( (p42) )  + ( (z43)/(z41+z42+z43+z44+z45) ) * ( (p43) )  + ( (z44)/(z41+z42+z43+z44+z45) ) * ( (p44) )  + ( (z45)/(z41+z42+z43+z44+z45) ) * ( (p45) )  ) * ( prob_f1_s4 ));
PX_0_26 = ((     ( (z51)/(z51+z52+z53+z54+z55) ) * ( (p51) ) + ( (z52)/(z51+z52+z53+z54+z55) ) * ( (p52) )  + ( (z53)/(z51+z52+z53+z54+z55) ) * ( (p53) )  + ( (z54)/(z51+z52+z53+z54+z55) ) * ( (p54) )  + ( (z55)/(z51+z52+z53+z54+z55) ) * ( (p55) )  ) * ( prob_f1_s5 ));
PX_1_8 = (    ( ((-1)*p61+(1)) ) * ( prob_f2_s11 ) + ( ((-1)*p62+(1)) ) * ( prob_f2_s12 )  + ( ((-1)*p63+(1)) ) * ( prob_f2_s13 )  + ( ((-1)*p64+(1)) ) * ( prob_f2_s14 )  + ( ((-1)*p65+(1)) ) * ( prob_f2_s15 ) ); 
PX_1_9 = (    ( (p61) ) * ( prob_f2_s11 ) + ( (p62) ) * ( prob_f2_s12 )  + ( (p63) ) * ( prob_f2_s13 )  + ( (p64) ) * ( prob_f2_s14 )  + ( (p65) ) * ( prob_f2_s15 ) );
PX_2_10 = (    ( (p51) ) * ( prob_f3_s16 ) + ( (p52) ) * ( prob_f3_s17 )  + ( (p53) ) * ( prob_f3_s18 )  + ( (p54) ) * ( prob_f3_s19 )  + ( (p55) ) * ( prob_f3_s20 ) ); 
PX_2_11 = (         ( ((-1)*p51+(1)) ) * ( prob_f3_s16 ) + ( ((-1)*p52+(1)) ) * ( prob_f3_s17 )  + ( ((-1)*p53+(1)) ) * ( prob_f3_s18 )  + ( ((-1)*p54+(1)) ) * ( prob_f3_s19 )  + ( ((-1)*p55+(1)) ) * ( prob_f3_s20 )  + ( 1 ) * ( prob_f3_s53 )  + ( 1 ) * ( prob_f3_s54 )  + ( 1 ) * ( prob_f3_s55 )  + ( 1 ) * ( prob_f3_s56 )  + ( 1 ) * ( prob_f3_s57 ) );
PX_2_24 = (( 1 ) * ( prob_f3_s52 ));
PX_3_1 = ((z31)/(z31+z32+z33+z34+z35)); 
PX_3_2 = ((z32)/(z31+z32+z33+z34+z35));
PX_3_3 = ((z33)/(z31+z32+z33+z34+z35));
PX_3_4 = ((z34)/(z31+z32+z33+z34+z35));
PX_3_5 = ((z35)/(z31+z32+z33+z34+z35));
PX_4_6 = ((1)); 
PX_5_7 = ((1)); 
PX_6_12 = ((p31)); 
PX_6_13 = (((-1)*p31+(1)));
PX_7_14 = ((p32)); 
PX_7_15 = (((-1)*p32+(1)));
PX_8_16 = ((p33)); 
PX_8_17 = (((-1)*p33+(1)));
PX_9_18 = ((p34)); 
PX_9_19 = (((-1)*p34+(1)));
PX_10_20 = ((p35)); 
PX_10_21 = (((-1)*p35+(1)));

Output_abstract_model =( (-1 * ((PX_1_9) * (PX_0_25*PX_2_10+PX_0_26)))/(PX_0_25*PX_2_24+(-1))); 
