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 = ( 67 ); number of transition = ( 134 ) 

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)
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)
9 --- 9  -> (1)
10 --- 0  -> (1)
62 --- 9  -> ((-1)*p61+(1))
62 --- 10  -> (p61)
63 --- 9  -> ((-1)*p62+(1))
63 --- 10  -> (p62)
64 --- 9  -> ((-1)*p63+(1))
64 --- 10  -> (p63)
65 --- 9  -> ((-1)*p64+(1))
65 --- 10  -> (p64)
66 --- 9  -> ((-1)*p65+(1))
66 --- 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)
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)
32 --- 41  -> ((-1)*p22+(1))
41 --- 9  -> 1
33 --- 42  -> ((-1)*p23+(1))
42 --- 9  -> 1
34 --- 43  -> ((-1)*p24+(1))
43 --- 9  -> 1
35 --- 44  -> ((-1)*p25+(1))
44 --- 9  -> 1
31 --- 45  -> ((-1)*p21+(1))
45 --- 9  -> 1
36 --- 46  -> ((-1)*p11+(1))
46 --- 9  -> 1
37 --- 47  -> ((-1)*p12+(1))
47 --- 9  -> 1
38 --- 48  -> ((-1)*p13+(1))
48 --- 9  -> 1
39 --- 49  -> ((-1)*p14+(1))
49 --- 9  -> 1
40 --- 50  -> ((-1)*p15+(1))
50 --- 9  -> 1
8 --- 51  -> (z2)
51 --- 0  -> 1
8 --- 52  -> ( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43+z44+z45) )
52 --- 21  -> 1
8 --- 53  -> ( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43+z44+z45) )
53 --- 22  -> 1
8 --- 54  -> ( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43+z44+z45) )
54 --- 23  -> 1
8 --- 55  -> ( ((-1)*z1-z2+(1)) ) * ( (z44)/(z41+z42+z43+z44+z45) )
55 --- 24  -> 1
8 --- 56  -> ( ((-1)*z1-z2+(1)) ) * ( (z45)/(z41+z42+z43+z44+z45) )
56 --- 25  -> 1
8 --- 57  -> ( (z1) ) * ( (z51)/(z51+z52+z53+z54+z55) )
57 --- 16  -> 1
8 --- 58  -> ( (z1) ) * ( (z52)/(z51+z52+z53+z54+z55) )
58 --- 17  -> 1
8 --- 59  -> ( (z1) ) * ( (z53)/(z51+z52+z53+z54+z55) )
59 --- 18  -> 1
8 --- 60  -> ( (z1) ) * ( (z54)/(z51+z52+z53+z54+z55) )
60 --- 19  -> 1
8 --- 61  -> ( (z1) ) * ( (z55)/(z51+z52+z53+z54+z55) )
61 --- 20  -> 1
11 --- 62  -> 1
12 --- 63  -> 1
13 --- 64  -> 1
14 --- 65  -> 1
15 --- 66  -> 1


State--Fragment Number--visited--startingPoint--endingPoint
   0          1          true        true          false
   1          1          true        false          false
   2          1          true        false          false
   3          1          true        false          true
   4          1          true        false          true
   5          1          true        false          true
   6          2          true        true          false
   7          1          true        false          false
   8          4          true        true          false
   9          10          true        true          true
   10          11          true        true          true
   11          2          true        false          false
   12          2          true        false          false
   13          2          true        false          false
   14          2          true        false          false
   15          2          true        false          false
   16          12          true        true          true
   17          13          true        true          true
   18          14          true        true          true
   19          15          true        true          true
   20          16          true        true          true
   21          17          true        true          true
   22          18          true        true          true
   23          19          true        true          true
   24          20          true        true          true
   25          21          true        true          true
   26          5          true        true          true
   27          6          true        true          true
   28          7          true        true          true
   29          8          true        true          true
   30          9          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          4          true        false          true
   52          4          true        false          true
   53          4          true        false          true
   54          4          true        false          true
   55          4          true        false          true
   56          4          true        false          true
   57          4          true        false          true
   58          4          true        false          true
   59          4          true        false          true
   60          4          true        false          true
   61          4          true        false          true
   62          2          true        false          true
   63          2          true        false          true
   64          2          true        false          true
   65          2          true        false          true
   66          2          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, 3]  ((-1)*y1-y2+(1))
    [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)
    [32, 41]  ((-1)*p22+(1))
    [33, 42]  ((-1)*p23+(1))
    [34, 43]  ((-1)*p24+(1))
    [35, 44]  ((-1)*p25+(1))
    [31, 45]  ((-1)*p21+(1))
    [36, 46]  ((-1)*p11+(1))
    [37, 47]  ((-1)*p12+(1))
    [38, 48]  ((-1)*p13+(1))
    [39, 49]  ((-1)*p14+(1))
    [40, 50]  ((-1)*p15+(1))
    [3, 3]  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

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, 62]  1
    [12, 63]  1
    [13, 64]  1
    [14, 65]  1
    [15, 66]  1
    [62, 62]  1
    [63, 63]  1
    [64, 64]  1
    [65, 65]  1
    [66, 66]  1

This is transition in Fragment (3) 

This is transition in Fragment (4) 
    [8, 51]  (z2)
    [8, 52]  ( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43+z44+z45) )
    [8, 53]  ( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43+z44+z45) )
    [8, 54]  ( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43+z44+z45) )
    [8, 55]  ( ((-1)*z1-z2+(1)) ) * ( (z44)/(z41+z42+z43+z44+z45) )
    [8, 56]  ( ((-1)*z1-z2+(1)) ) * ( (z45)/(z41+z42+z43+z44+z45) )
    [8, 57]  ( (z1) ) * ( (z51)/(z51+z52+z53+z54+z55) )
    [8, 58]  ( (z1) ) * ( (z52)/(z51+z52+z53+z54+z55) )
    [8, 59]  ( (z1) ) * ( (z53)/(z51+z52+z53+z54+z55) )
    [8, 60]  ( (z1) ) * ( (z54)/(z51+z52+z53+z54+z55) )
    [8, 61]  ( (z1) ) * ( (z55)/(z51+z52+z53+z54+z55) )
    [51, 51]  1
    [52, 52]  1
    [53, 53]  1
    [54, 54]  1
    [55, 55]  1
    [56, 56]  1
    [57, 57]  1
    [58, 58]  1
    [59, 59]  1
    [60, 60]  1
    [61, 61]  1

This is transition in Fragment (5) 
    [26, 26]  1

This is transition in Fragment (6) 
    [27, 27]  1

This is transition in Fragment (7) 
    [28, 28]  1

This is transition in Fragment (8) 
    [29, 29]  1

This is transition in Fragment (9) 
    [30, 30]  1

This is transition in Fragment (10) 
    [9, 9]  1

This is transition in Fragment (11) 
    [10, 10]  1

This is transition in Fragment (12) 
    [16, 16]  1

This is transition in Fragment (13) 
    [17, 17]  1

This is transition in Fragment (14) 
    [18, 18]  1

This is transition in Fragment (15) 
    [19, 19]  1

This is transition in Fragment (16) 
    [20, 20]  1

This is transition in Fragment (17) 
    [21, 21]  1

This is transition in Fragment (18) 
    [22, 22]  1

This is transition in Fragment (19) 
    [23, 23]  1

This is transition in Fragment (20) 
    [24, 24]  1

This is transition for abstract model 
    [3, 26]  ( (z31)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 )
    [3, 27]  ( (z32)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 )
    [3, 28]  ( (z33)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 )
    [3, 29]  ( (z34)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 )
    [3, 30]  ( (z35)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 )
    [4, 21]  ( (z41)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 )
    [4, 22]  ( (z42)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 )
    [4, 23]  ( (z43)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 )
    [4, 24]  ( (z44)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 )
    [4, 25]  ( (z45)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 )
    [5, 16]  ( (z51)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 )
    [5, 17]  ( (z52)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 )
    [5, 18]  ( (z53)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 )
    [5, 19]  ( (z54)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 )
    [5, 20]  ( (z55)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 )
    [9, 9]  (1)
    [10, 0]  (1)
    [62, 9]  ( ((-1)*p61+(1)) ) * ( prob_f2_s62 )
    [62, 10]  ( (p61) ) * ( prob_f2_s62 )
    [63, 9]  ( ((-1)*p62+(1)) ) * ( prob_f2_s63 )
    [63, 10]  ( (p62) ) * ( prob_f2_s63 )
    [64, 9]  ( ((-1)*p63+(1)) ) * ( prob_f2_s64 )
    [64, 10]  ( (p63) ) * ( prob_f2_s64 )
    [65, 9]  ( ((-1)*p64+(1)) ) * ( prob_f2_s65 )
    [65, 10]  ( (p64) ) * ( prob_f2_s65 )
    [66, 9]  ( ((-1)*p65+(1)) ) * ( prob_f2_s66 )
    [66, 10]  ( (p65) ) * ( prob_f2_s66 )
    [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))
    [41, 9]  ( 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, 0]  ( 1 ) * ( prob_f4_s51 )
    [52, 21]  ( 1 ) * ( prob_f4_s52 )
    [53, 22]  ( 1 ) * ( prob_f4_s53 )
    [54, 23]  ( 1 ) * ( prob_f4_s54 )
    [55, 24]  ( 1 ) * ( prob_f4_s55 )
    [56, 25]  ( 1 ) * ( prob_f4_s56 )
    [57, 16]  ( 1 ) * ( prob_f4_s57 )
    [58, 17]  ( 1 ) * ( prob_f4_s58 )
    [59, 18]  ( 1 ) * ( prob_f4_s59 )
    [60, 19]  ( 1 ) * ( prob_f4_s60 )
    [61, 20]  ( 1 ) * ( prob_f4_s61 )
****************************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 = (((-1)*y1-y2+(1))); 
P1_7_15 = ((y1)); 
P1_31_16 = ((p21)); 
P1_31_30 = (((-1)*p21+(1))); 
P1_32_17 = ((p22)); 
P1_32_26 = (((-1)*p22+(1))); 
P1_33_18 = ((p23)); 
P1_33_27 = (((-1)*p23+(1))); 
P1_34_19 = ((p24)); 
P1_34_28 = (((-1)*p24+(1))); 
P1_35_20 = ((p25)); 
P1_35_29 = (((-1)*p25+(1))); 
P1_36_21 = ((p11)); 
P1_36_31 = (((-1)*p11+(1))); 
P1_37_22 = ((p12)); 
P1_37_32 = (((-1)*p12+(1))); 
P1_38_23 = ((p13)); 
P1_38_33 = (((-1)*p13+(1))); 
P1_39_24 = ((p14)); 
P1_39_34 = (((-1)*p14+(1))); 
P1_40_25 = ((p15)); 
P1_40_35 = (((-1)*p15+(1))); 

prob_f1_s3  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_14+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_14+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_14+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_14+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_14+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_14+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_14+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_14+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_14+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_14+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_14+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_14+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_14+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_14+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_14+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_14+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_14+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_14+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_14+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_14+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_14+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_14+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_14+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_14+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_14)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s4  =( (P1_0_2)/(1)); 
prob_f1_s5  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_15+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_15+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_15+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_15+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_15+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_15+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_15+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_15+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_15+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_15+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_15+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_15+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_15+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_15+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_15+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_15+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_15+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_15+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_15+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_15+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_15+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_15+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_15+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_15+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_15)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s41  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_25*P1_2_9*P1_32_26+P1_1_5*P1_38_23*P1_2_9*P1_32_26+P1_1_4*P1_37_22*P1_2_9*P1_32_26+P1_1_3*P1_36_21*P1_2_9*P1_32_26+P1_1_6*P1_39_24*P1_2_9*P1_32_26)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s42  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_25*P1_2_10*P1_33_27+P1_1_5*P1_38_23*P1_2_10*P1_33_27+P1_1_4*P1_37_22*P1_2_10*P1_33_27+P1_1_3*P1_36_21*P1_2_10*P1_33_27+P1_1_6*P1_39_24*P1_2_10*P1_33_27)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s43  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_25*P1_2_11*P1_34_28+P1_1_5*P1_38_23*P1_2_11*P1_34_28+P1_1_4*P1_37_22*P1_2_11*P1_34_28+P1_1_3*P1_36_21*P1_2_11*P1_34_28+P1_1_6*P1_39_24*P1_2_11*P1_34_28)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s44  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_25*P1_2_12*P1_35_29+P1_1_5*P1_38_23*P1_2_12*P1_35_29+P1_1_4*P1_37_22*P1_2_12*P1_35_29+P1_1_3*P1_36_21*P1_2_12*P1_35_29+P1_1_6*P1_39_24*P1_2_12*P1_35_29)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s45  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_25*P1_2_8*P1_31_30+P1_1_5*P1_38_23*P1_2_8*P1_31_30+P1_1_4*P1_37_22*P1_2_8*P1_31_30+P1_1_3*P1_36_21*P1_2_8*P1_31_30+P1_1_6*P1_39_24*P1_2_8*P1_31_30)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s46  =( (-1 * ((P1_0_1) * (P1_1_3*P1_36_31)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s47  =( (-1 * ((P1_0_1) * (P1_1_4*P1_37_32)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s48  =( (-1 * ((P1_0_1) * (P1_1_5*P1_38_33)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s49  =( (-1 * ((P1_0_1) * (P1_1_6*P1_39_34)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
prob_f1_s50  =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_35)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*P1_7_13+(-1))); 
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 = (((-1)*y1-y2+(1))); 
P1_7_15 = ((y1)); 
P1_31_16 = ((p21)); 
P1_31_30 = (((-1)*p21+(1))); 
P1_32_17 = ((p22)); 
P1_32_26 = (((-1)*p22+(1))); 
P1_33_18 = ((p23)); 
P1_33_27 = (((-1)*p23+(1))); 
P1_34_19 = ((p24)); 
P1_34_28 = (((-1)*p24+(1))); 
P1_35_20 = ((p25)); 
P1_35_29 = (((-1)*p25+(1))); 
P1_36_21 = ((p11)); 
P1_36_31 = (((-1)*p11+(1))); 
P1_37_22 = ((p12)); 
P1_37_32 = (((-1)*p12+(1))); 
P1_38_23 = ((p13)); 
P1_38_33 = (((-1)*p13+(1))); 
P1_39_24 = ((p14)); 
P1_39_34 = (((-1)*p14+(1))); 
P1_40_25 = ((p15)); 
P1_40_35 = (((-1)*p15+(1))); 

ab0 =( (-1 * ((P1_0_1) * (P1_1_7*P1_40_25*P1_2_12*t25+P1_1_5*P1_38_23*P1_2_9*t22+P1_1_4*P1_37_22*P1_2_9*t22+P1_1_3*P1_36_21*P1_2_8*t21+P1_1_6*P1_39_24*P1_2_9*t22+P1_1_3*P1_36_21*P1_2_11*t24+P1_1_6*P1_39_24*P1_2_10*t23+P1_1_6*P1_39_24*P1_2_12*t25+P1_1_6*t14+P1_1_5*P1_38_23*P1_2_11*t24+P1_1_3*P1_36_21*P1_2_9*t22+P1_1_5*P1_38_23*P1_2_8*t21+P1_1_4*P1_37_22*P1_2_8*t21+P1_1_4*P1_37_22*P1_2_11*t24+P1_1_5*P1_38_23*P1_2_10*t23+P1_1_4*P1_37_22*P1_2_12*t25+P1_1_5*P1_38_23*P1_2_12*t25+P1_1_3*P1_36_21*P1_2_10*t23+P1_1_4*P1_37_22*P1_2_10*t23+P1_1_7*P1_40_25*P1_2_11*t24+P1_1_3*t11+P1_1_4*t12+P1_1_5*t13+P1_1_7*P1_40_25*P1_2_8*t21+P1_1_6*P1_39_24*P1_2_8*t21+P1_1_6*P1_39_24*P1_2_11*t24+P1_1_3*P1_36_21*P1_2_12*t25+P1_1_7*P1_40_25*P1_2_9*t22+P1_1_7*P1_40_25*P1_2_10*t23+P1_1_7*t15)))/(P1_1_7*P1_40_25*P1_2_12*P1_35_20*P1_7_13+P1_1_4*P1_37_22*P1_2_12*P1_35_20*P1_7_13+P1_1_5*P1_38_23*P1_2_12*P1_35_20*P1_7_13+P1_1_6*P1_39_24*P1_2_12*P1_35_20*P1_7_13+P1_1_3*P1_36_21*P1_2_12*P1_35_20*P1_7_13+P1_1_7*P1_40_25*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_9*P1_32_17*P1_7_13+P1_1_4*P1_37_22*P1_2_9*P1_32_17*P1_7_13+P1_1_5*P1_38_23*P1_2_9*P1_32_17*P1_7_13+P1_1_6*P1_39_24*P1_2_9*P1_32_17*P1_7_13+P1_1_3*P1_36_21*P1_2_9*P1_32_17*P1_7_13+P1_1_7*P1_40_25*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_10*P1_33_18*P1_7_13+P1_1_5*P1_38_23*P1_2_10*P1_33_18*P1_7_13+P1_1_6*P1_39_24*P1_2_10*P1_33_18*P1_7_13+P1_1_3*P1_36_21*P1_2_10*P1_33_18*P1_7_13+P1_1_4*P1_37_22*P1_2_11*P1_34_19*P1_7_13+P1_1_5*P1_38_23*P1_2_11*P1_34_19*P1_7_13+P1_1_6*P1_39_24*P1_2_11*P1_34_19*P1_7_13+P1_1_3*P1_36_21*P1_2_11*P1_34_19*P1_7_13+P1_1_7*P1_40_25*P1_2_8*P1_31_16*P1_7_13+P1_1_4*P1_37_22*P1_2_8*P1_31_16*P1_7_13+P1_1_5*P1_38_23*P1_2_8*P1_31_16*P1_7_13+P1_1_6*P1_39_24*P1_2_8*P1_31_16*P1_7_13+P1_1_3*P1_36_21*P1_2_8*P1_31_16*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)); 
P2_11_6 = (1); 
P2_12_7 = (1); 
P2_13_8 = (1); 
P2_14_9 = (1); 
P2_15_10 = (1); 

prob_f2_s62  =( (P2_6_1)/(1)); 
prob_f2_s63  =( (P2_6_2)/(1)); 
prob_f2_s64  =( (P2_6_3)/(1)); 
prob_f2_s65  =( (P2_6_4)/(1)); 
prob_f2_s66  =( (P2_6_5)/(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)); 
P2_11_6 = (1); 
P2_12_7 = (1); 
P2_13_8 = (1); 
P2_14_9 = (1); 
P2_15_10 = (1); 

ab1 =( (P2_6_5*t65+P2_6_1*t61+P2_6_2*t62+P2_6_3*t63+P2_6_4*t64)/(1)); 
P4_8_1 = ((z2)); 
P4_8_2 = (( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43+z44+z45) )); 
P4_8_3 = (( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43+z44+z45) )); 
P4_8_4 = (( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43+z44+z45) )); 
P4_8_5 = (( ((-1)*z1-z2+(1)) ) * ( (z44)/(z41+z42+z43+z44+z45) )); 
P4_8_6 = (( ((-1)*z1-z2+(1)) ) * ( (z45)/(z41+z42+z43+z44+z45) )); 
P4_8_7 = (( (z1) ) * ( (z51)/(z51+z52+z53+z54+z55) )); 
P4_8_8 = (( (z1) ) * ( (z52)/(z51+z52+z53+z54+z55) )); 
P4_8_9 = (( (z1) ) * ( (z53)/(z51+z52+z53+z54+z55) )); 
P4_8_10 = (( (z1) ) * ( (z54)/(z51+z52+z53+z54+z55) )); 
P4_8_11 = (( (z1) ) * ( (z55)/(z51+z52+z53+z54+z55) )); 

prob_f4_s51  =( (P4_8_1)/(1)); 
prob_f4_s52  =( (P4_8_2)/(1)); 
prob_f4_s53  =( (P4_8_3)/(1)); 
prob_f4_s54  =( (P4_8_4)/(1)); 
prob_f4_s55  =( (P4_8_5)/(1)); 
prob_f4_s56  =( (P4_8_6)/(1)); 
prob_f4_s57  =( (P4_8_7)/(1)); 
prob_f4_s58  =( (P4_8_8)/(1)); 
prob_f4_s59  =( (P4_8_9)/(1)); 
prob_f4_s60  =( (P4_8_10)/(1)); 
prob_f4_s61  =( (P4_8_11)/(1)); 
P4_8_1 = ((z2)); 
P4_8_2 = (( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43+z44+z45) )); 
P4_8_3 = (( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43+z44+z45) )); 
P4_8_4 = (( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43+z44+z45) )); 
P4_8_5 = (( ((-1)*z1-z2+(1)) ) * ( (z44)/(z41+z42+z43+z44+z45) )); 
P4_8_6 = (( ((-1)*z1-z2+(1)) ) * ( (z45)/(z41+z42+z43+z44+z45) )); 
P4_8_7 = (( (z1) ) * ( (z51)/(z51+z52+z53+z54+z55) )); 
P4_8_8 = (( (z1) ) * ( (z52)/(z51+z52+z53+z54+z55) )); 
P4_8_9 = (( (z1) ) * ( (z53)/(z51+z52+z53+z54+z55) )); 
P4_8_10 = (( (z1) ) * ( (z54)/(z51+z52+z53+z54+z55) )); 
P4_8_11 = (( (z1) ) * ( (z55)/(z51+z52+z53+z54+z55) )); 

ab3 =( 0); 
PX_0_1 = (( (z31)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 )); 
PX_0_2 = (( (z32)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 ));
PX_0_3 = (( (z33)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 ));
PX_0_4 = (( (z34)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 ));
PX_0_5 = (( (z35)/(z31+z32+z33+z34+z35) ) * ( prob_f1_s3 ));
PX_0_6 = (( (z41)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 ));
PX_0_7 = (( (z42)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 ));
PX_0_8 = (( (z43)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 ));
PX_0_9 = (( (z44)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 ));
PX_0_10 = (( (z45)/(z41+z42+z43+z44+z45) ) * ( prob_f1_s4 ));
PX_0_11 = (( (z51)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 ));
PX_0_12 = (( (z52)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 ));
PX_0_13 = (( (z53)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 ));
PX_0_14 = (( (z54)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 ));
PX_0_15 = (( (z55)/(z51+z52+z53+z54+z55) ) * ( prob_f1_s5 ));
PX_0_50 = (         ( 1 ) * ( prob_f1_s41 ) + ( 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 ) );
PX_1_18 = (    ( ((-1)*p61+(1)) ) * ( prob_f2_s62 ) + ( ((-1)*p62+(1)) ) * ( prob_f2_s63 )  + ( ((-1)*p63+(1)) ) * ( prob_f2_s64 )  + ( ((-1)*p64+(1)) ) * ( prob_f2_s65 )  + ( ((-1)*p65+(1)) ) * ( prob_f2_s66 ) ); 
PX_1_19 = (    ( (p61) ) * ( prob_f2_s62 ) + ( (p62) ) * ( prob_f2_s63 )  + ( (p63) ) * ( prob_f2_s64 )  + ( (p64) ) * ( prob_f2_s65 )  + ( (p65) ) * ( prob_f2_s66 ) );
PX_3_51 = (( 1 ) * ( prob_f4_s51 )); 
PX_3_52 = (( 1 ) * ( prob_f4_s52 ));
PX_3_53 = (( 1 ) * ( prob_f4_s53 ));
PX_3_54 = (( 1 ) * ( prob_f4_s54 ));
PX_3_55 = (( 1 ) * ( prob_f4_s55 ));
PX_3_56 = (( 1 ) * ( prob_f4_s56 ));
PX_3_57 = (( 1 ) * ( prob_f4_s57 ));
PX_3_58 = (( 1 ) * ( prob_f4_s58 ));
PX_3_59 = (( 1 ) * ( prob_f4_s59 ));
PX_3_60 = (( 1 ) * ( prob_f4_s60 ));
PX_3_61 = (( 1 ) * ( prob_f4_s61 ));
PX_4_40 = ((p31)); 
PX_4_41 = (((-1)*p31+(1)));
PX_5_42 = ((p32)); 
PX_5_43 = (((-1)*p32+(1)));
PX_6_44 = ((p33)); 
PX_6_45 = (((-1)*p33+(1)));
PX_7_46 = ((p34)); 
PX_7_47 = (((-1)*p34+(1)));
PX_8_48 = ((p35)); 
PX_8_49 = (((-1)*p35+(1)));
PX_9_16 = ((1)); 
PX_10_17 = ((1)); 
PX_11_20 = ((p51)); 
PX_11_21 = (((-1)*p51+(1)));
PX_12_22 = ((p52)); 
PX_12_23 = (((-1)*p52+(1)));
PX_13_24 = ((p53)); 
PX_13_25 = (((-1)*p53+(1)));
PX_14_26 = ((p54)); 
PX_14_27 = (((-1)*p54+(1)));
PX_15_28 = ((p55)); 
PX_15_29 = (((-1)*p55+(1)));
PX_16_30 = ((p41)); 
PX_16_31 = (((-1)*p41+(1)));
PX_17_32 = ((p42)); 
PX_17_33 = (((-1)*p42+(1)));
PX_18_34 = ((p43)); 
PX_18_35 = (((-1)*p43+(1)));
PX_19_36 = ((p44)); 
PX_19_37 = (((-1)*p44+(1)));
PX_20_38 = ((p45)); 
PX_20_39 = (((-1)*p45+(1)));

Output_abstract_model =( (PX_0_15*PX_20_38*PX_15_28*ab1*PX_3_56+ab0*PX_17_32*PX_3_53+PX_0_1*PX_4_40*PX_17_32*ab1*PX_3_53+PX_0_2*PX_5_42*PX_17_32*ab1*PX_3_53+PX_0_3*PX_6_44*PX_17_32*ab1*PX_3_53+PX_0_4*PX_7_46*PX_17_32*ab1*PX_3_53+PX_0_5*PX_8_48*PX_17_32*ab1*PX_3_53+PX_0_11*PX_17_32*PX_11_20*ab1*PX_3_53+PX_0_12*PX_17_32*PX_12_22*ab1*PX_3_53+PX_0_13*PX_17_32*PX_13_24*ab1*PX_3_53+PX_0_14*PX_17_32*PX_14_26*ab1*PX_3_53+PX_0_15*PX_17_32*PX_15_28*ab1*PX_3_53+PX_0_10*PX_16_30*t45*PX_3_52+PX_0_9*PX_16_30*t44*PX_3_52+PX_0_8*PX_16_30*t43*PX_3_52+PX_0_7*PX_16_30*t42*PX_3_52+PX_0_2*t32*PX_17_32*PX_3_53+PX_0_15*PX_16_30*t55*PX_3_52+PX_0_14*PX_16_30*t54*PX_3_52+PX_0_13*PX_16_30*t53*PX_3_52+PX_0_12*PX_16_30*t52*PX_3_52+PX_0_11*PX_16_30*t51*PX_3_52+PX_0_5*t35*PX_16_30*PX_3_52+PX_0_4*t34*PX_16_30*PX_3_52+PX_0_3*t33*PX_16_30*PX_3_52+PX_0_2*t32*PX_16_30*PX_3_52+PX_0_1*t31*PX_16_30*PX_3_52+ab0*PX_16_30*PX_3_52+PX_0_1*PX_4_40*PX_16_30*ab1*PX_3_52+PX_0_2*PX_5_42*PX_16_30*ab1*PX_3_52+PX_0_3*PX_6_44*PX_16_30*ab1*PX_3_52+PX_0_4*PX_7_46*PX_16_30*ab1*PX_3_52+PX_0_5*PX_8_48*PX_16_30*ab1*PX_3_52+PX_0_11*PX_16_30*PX_11_20*ab1*PX_3_52+PX_0_12*PX_16_30*PX_12_22*ab1*PX_3_52+PX_0_13*PX_16_30*PX_13_24*ab1*PX_3_52+PX_0_14*PX_16_30*PX_14_26*ab1*PX_3_52+PX_0_15*PX_16_30*PX_15_28*ab1*PX_3_52+PX_0_10*PX_19_36*t45*PX_3_55+PX_0_3*t33*PX_17_32*PX_3_53+PX_0_8*t43*PX_19_36*PX_3_55+PX_0_7*t42*PX_19_36*PX_3_55+PX_0_6*t41*PX_19_36*PX_3_55+PX_0_15*PX_19_36*t55*PX_3_55+PX_0_14*PX_19_36*t54*PX_3_55+PX_0_13*PX_19_36*t53*PX_3_55+PX_0_12*PX_19_36*t52*PX_3_55+PX_0_11*PX_19_36*t51*PX_3_55+PX_0_5*t35*PX_19_36*PX_3_55+PX_0_4*t34*PX_19_36*PX_3_55+PX_0_3*t33*PX_19_36*PX_3_55+PX_0_2*t32*PX_19_36*PX_3_55+PX_0_1*t31*PX_19_36*PX_3_55+ab0*PX_19_36*PX_3_55+PX_0_1*PX_4_40*PX_19_36*ab1*PX_3_55+PX_0_2*PX_5_42*PX_19_36*ab1*PX_3_55+PX_0_3*PX_6_44*PX_19_36*ab1*PX_3_55+PX_0_4*PX_7_46*PX_19_36*ab1*PX_3_55+PX_0_5*PX_8_48*PX_19_36*ab1*PX_3_55+PX_0_11*PX_19_36*PX_11_20*ab1*PX_3_55+PX_0_12*PX_19_36*PX_12_22*ab1*PX_3_55+PX_0_13*PX_19_36*PX_13_24*ab1*PX_3_55+PX_0_14*PX_19_36*PX_14_26*ab1*PX_3_55+PX_0_15*PX_19_36*PX_15_28*ab1*PX_3_55+PX_0_4*t34*PX_17_32*PX_3_53+PX_0_9*t44*PX_20_38*PX_3_56+PX_0_8*t43*PX_20_38*PX_3_56+PX_0_7*t42*PX_20_38*PX_3_56+PX_0_6*t41*PX_20_38*PX_3_56+PX_0_15*PX_20_38*t55*PX_3_56+PX_0_14*PX_20_38*t54*PX_3_56+PX_0_13*PX_20_38*t53*PX_3_56+PX_0_12*PX_20_38*t52*PX_3_56+PX_0_11*PX_20_38*t51*PX_3_56+PX_0_5*t35*PX_20_38*PX_3_56+PX_0_4*t34*PX_20_38*PX_3_56+PX_0_3*t33*PX_20_38*PX_3_56+PX_0_2*t32*PX_20_38*PX_3_56+PX_0_1*t31*PX_20_38*PX_3_56+ab0*PX_20_38*PX_3_56+PX_0_1*PX_4_40*PX_20_38*ab1*PX_3_56+PX_0_2*PX_5_42*PX_20_38*ab1*PX_3_56+PX_0_3*PX_6_44*PX_20_38*ab1*PX_3_56+PX_0_4*PX_7_46*PX_20_38*ab1*PX_3_56+PX_0_5*PX_8_48*PX_20_38*ab1*PX_3_56+PX_0_11*PX_20_38*PX_11_20*ab1*PX_3_56+PX_0_12*PX_20_38*PX_12_22*ab1*PX_3_56+PX_0_13*PX_20_38*PX_13_24*ab1*PX_3_56+PX_0_14*PX_20_38*PX_14_26*ab1*PX_3_56+PX_0_1*t31*PX_17_32*PX_3_53+PX_0_5*t35*PX_17_32*PX_3_53+PX_0_11*PX_17_32*t51*PX_3_53+PX_0_12*PX_17_32*t52*PX_3_53+PX_0_13*PX_17_32*t53*PX_3_53+PX_0_14*PX_17_32*t54*PX_3_53+PX_0_15*PX_17_32*t55*PX_3_53+PX_0_6*t41*PX_17_32*PX_3_53+PX_0_8*PX_17_32*t43*PX_3_53+PX_0_9*PX_17_32*t44*PX_3_53+PX_0_10*PX_17_32*t45*PX_3_53+PX_0_15*PX_18_34*PX_15_28*ab1*PX_3_54+PX_0_14*PX_18_34*PX_14_26*ab1*PX_3_54+PX_0_13*PX_18_34*PX_13_24*ab1*PX_3_54+PX_0_12*PX_18_34*PX_12_22*ab1*PX_3_54+PX_0_11*PX_18_34*PX_11_20*ab1*PX_3_54+PX_0_5*PX_8_48*PX_18_34*ab1*PX_3_54+PX_0_4*PX_7_46*PX_18_34*ab1*PX_3_54+PX_0_3*PX_6_44*PX_18_34*ab1*PX_3_54+PX_0_2*PX_5_42*PX_18_34*ab1*PX_3_54+PX_0_1*PX_4_40*PX_18_34*ab1*PX_3_54+ab0*PX_18_34*PX_3_54+PX_0_1*t31*PX_18_34*PX_3_54+PX_0_2*t32*PX_18_34*PX_3_54+PX_0_3*t33*PX_18_34*PX_3_54+PX_0_4*t34*PX_18_34*PX_3_54+PX_0_5*t35*PX_18_34*PX_3_54+PX_0_11*PX_18_34*t51*PX_3_54+PX_0_12*PX_18_34*t52*PX_3_54+PX_0_13*PX_18_34*t53*PX_3_54+PX_0_14*PX_18_34*t54*PX_3_54+PX_0_15*PX_18_34*t55*PX_3_54+PX_0_6*t41*PX_18_34*PX_3_54+PX_0_7*t42*PX_18_34*PX_3_54+PX_0_9*PX_18_34*t44*PX_3_54+PX_0_10*PX_18_34*t45*PX_3_54+(-1)*PX_0_15*PX_15_28*ab1+(-1)*PX_0_14*PX_14_26*ab1+(-1)*PX_0_13*PX_13_24*ab1+(-1)*PX_0_12*PX_12_22*ab1+(-1)*PX_0_11*PX_11_20*ab1+(-1)*PX_0_5*PX_8_48*ab1+(-1)*PX_0_4*PX_7_46*ab1+(-1)*PX_0_3*PX_6_44*ab1+(-1)*PX_0_2*PX_5_42*ab1+(-1)*PX_0_1*PX_4_40*ab1+(-1)*ab0+(-1)*PX_0_1*t31+(-1)*PX_0_2*t32+(-1)*PX_0_3*t33+(-1)*PX_0_4*t34+(-1)*PX_0_5*t35+(-1)*PX_0_11*t51+(-1)*PX_0_12*t52+(-1)*PX_0_13*t53+(-1)*PX_0_14*t54+(-1)*PX_0_15*t55+(-1)*PX_0_6*t41+(-1)*PX_0_7*t42+(-1)*PX_0_8*t43+(-1)*PX_0_9*t44+(-1)*PX_0_10*PX_20_38*PX_15_28*ab1*PX_3_61+(-1)*PX_0_10*PX_20_38*PX_14_26*ab1*PX_3_60+(-1)*PX_0_10*PX_20_38*PX_13_24*ab1*PX_3_59+(-1)*PX_0_10*PX_20_38*PX_12_22*ab1*PX_3_58+(-1)*PX_0_10*PX_20_38*PX_11_20*ab1*PX_3_57+(-1)*PX_0_10*PX_20_38*t51*PX_3_57+(-1)*PX_0_10*PX_20_38*t52*PX_3_58+(-1)*PX_0_10*PX_20_38*t53*PX_3_59+(-1)*PX_0_10*PX_20_38*t54*PX_3_60+(-1)*PX_0_10*PX_20_38*t55*PX_3_61+(-1)*PX_0_10*t41*PX_20_38*PX_3_52+(-1)*PX_0_10*t42*PX_20_38*PX_3_53+(-1)*PX_0_10*t43*PX_20_38*PX_3_54+(-1)*PX_0_10*t44*PX_20_38*PX_3_55+(-1)*PX_0_8*PX_18_34*PX_15_28*ab1*PX_3_61+(-1)*PX_0_8*PX_18_34*PX_14_26*ab1*PX_3_60+(-1)*PX_0_8*PX_18_34*PX_13_24*ab1*PX_3_59+(-1)*PX_0_8*PX_18_34*PX_12_22*ab1*PX_3_58+(-1)*PX_0_8*PX_18_34*PX_11_20*ab1*PX_3_57+(-1)*PX_0_8*PX_18_34*t51*PX_3_57+(-1)*PX_0_8*PX_18_34*t52*PX_3_58+(-1)*PX_0_8*PX_18_34*t53*PX_3_59+(-1)*PX_0_8*PX_18_34*t54*PX_3_60+(-1)*PX_0_8*PX_18_34*t55*PX_3_61+(-1)*PX_0_8*t41*PX_18_34*PX_3_52+(-1)*PX_0_8*t42*PX_18_34*PX_3_53+(-1)*PX_0_8*PX_18_34*t44*PX_3_55+(-1)*PX_0_8*PX_18_34*t45*PX_3_56+(-1)*PX_0_7*PX_17_32*PX_15_28*ab1*PX_3_61+(-1)*PX_0_7*PX_17_32*PX_14_26*ab1*PX_3_60+(-1)*PX_0_7*PX_17_32*PX_13_24*ab1*PX_3_59+(-1)*PX_0_7*PX_17_32*PX_12_22*ab1*PX_3_58+(-1)*PX_0_7*PX_17_32*PX_11_20*ab1*PX_3_57+(-1)*PX_0_7*PX_17_32*t51*PX_3_57+(-1)*PX_0_7*PX_17_32*t52*PX_3_58+(-1)*PX_0_7*PX_17_32*t53*PX_3_59+(-1)*PX_0_7*PX_17_32*t54*PX_3_60+(-1)*PX_0_7*PX_17_32*t55*PX_3_61+(-1)*PX_0_7*t41*PX_17_32*PX_3_52+(-1)*PX_0_7*PX_17_32*t43*PX_3_54+(-1)*PX_0_7*PX_17_32*t44*PX_3_55+(-1)*PX_0_7*PX_17_32*t45*PX_3_56+(-1)*PX_0_6*PX_16_30*PX_15_28*ab1*PX_3_61+(-1)*PX_0_6*PX_16_30*PX_14_26*ab1*PX_3_60+(-1)*PX_0_6*PX_16_30*PX_13_24*ab1*PX_3_59+(-1)*PX_0_6*PX_16_30*PX_12_22*ab1*PX_3_58+(-1)*PX_0_6*PX_16_30*PX_11_20*ab1*PX_3_57+(-1)*PX_0_6*PX_16_30*t51*PX_3_57+(-1)*PX_0_6*PX_16_30*t52*PX_3_58+(-1)*PX_0_6*PX_16_30*t53*PX_3_59+(-1)*PX_0_6*PX_16_30*t54*PX_3_60+(-1)*PX_0_6*PX_16_30*t55*PX_3_61+(-1)*PX_0_6*PX_16_30*t42*PX_3_53+(-1)*PX_0_6*PX_16_30*t43*PX_3_54+(-1)*PX_0_6*PX_16_30*t44*PX_3_55+(-1)*PX_0_6*PX_16_30*t45*PX_3_56+(-1)*PX_0_9*PX_19_36*PX_15_28*ab1*PX_3_61+(-1)*PX_0_9*PX_19_36*PX_14_26*ab1*PX_3_60+(-1)*PX_0_9*PX_19_36*PX_13_24*ab1*PX_3_59+(-1)*PX_0_9*PX_19_36*PX_12_22*ab1*PX_3_58+(-1)*PX_0_9*PX_19_36*PX_11_20*ab1*PX_3_57+(-1)*PX_0_9*PX_19_36*t51*PX_3_57+(-1)*PX_0_9*PX_19_36*t52*PX_3_58+(-1)*PX_0_9*PX_19_36*t53*PX_3_59+(-1)*PX_0_9*PX_19_36*t54*PX_3_60+(-1)*PX_0_9*PX_19_36*t55*PX_3_61+(-1)*PX_0_9*t41*PX_19_36*PX_3_52+(-1)*PX_0_9*t42*PX_19_36*PX_3_53+(-1)*PX_0_9*t43*PX_19_36*PX_3_54+(-1)*PX_0_10*t45+(-1)*PX_0_9*PX_19_36*t45*PX_3_56)/(PX_0_10*PX_20_38*PX_3_51+PX_0_6*PX_16_30*PX_3_51+PX_0_7*PX_17_32*PX_3_51+PX_0_8*PX_18_34*PX_3_51+PX_0_9*PX_19_36*PX_3_51+PX_20_38*PX_3_56+PX_19_36*PX_3_55+PX_16_30*PX_3_52+PX_17_32*PX_3_53+PX_18_34*PX_3_54+(-1))); 
