Min_number = ( 0 ) ; Max_number = ( 5 )
In original model number_of_states = ( 29 ); number_of_transition = ( 64 ) 

Original Transition
0 --- 1  -> (x)
0 --- 4  -> ((-1)*x+(1))
1 --- 26  -> (z11)/(z11+z12+z13)
1 --- 27  -> (z12)/(z11+z12+z13)
1 --- 28  -> (z13)/(z11+z12+z13)
2 --- 23  -> (z21)/(z21+z22+z23)
2 --- 24  -> (z22)/(z21+z22+z23)
2 --- 25  -> (z23)/(z21+z22+z23)
3 --- 20  -> (z31)/(z31+z32+z33)
3 --- 21  -> (z32)/(z31+z32+z33)
3 --- 22  -> (z33)/(z31+z32+z33)
4 --- 17  -> (z41)/(z41+z42+z43)
4 --- 18  -> (z42)/(z41+z42+z43)
4 --- 19  -> (z43)/(z41+z42+z43)
5 --- 14  -> (z51)/(z51+z52+z53)
5 --- 15  -> (z52)/(z51+z52+z53)
5 --- 16  -> (z53)/(z51+z52+z53)
6 --- 11  -> (z61)/(z61+z62+z63)
6 --- 12  -> (z62)/(z61+z62+z63)
6 --- 13  -> (z63)/(z61+z62+z63)
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 --- 6  -> (p51)
14 --- 9  -> ((-1)*p51+(1))
15 --- 6  -> (p52)
15 --- 9  -> ((-1)*p52+(1))
16 --- 6  -> (p53)
16 --- 9  -> ((-1)*p53+(1))
17 --- 8  -> (p41)
17 --- 9  -> ((-1)*p41+(1))
18 --- 8  -> (p42)
18 --- 9  -> ((-1)*p42+(1))
19 --- 8  -> (p43)
19 --- 9  -> ((-1)*p43+(1))
20 --- 6  -> (p31)
20 --- 9  -> ((-1)*p31+(1))
21 --- 6  -> (p32)
21 --- 9  -> ((-1)*p32+(1))
22 --- 6  -> (p33)
22 --- 9  -> ((-1)*p33+(1))
23 --- 7  -> (p21)
23 --- 9  -> ((-1)*p21+(1))
24 --- 7  -> (p22)
24 --- 9  -> ((-1)*p22+(1))
25 --- 7  -> (p23)
25 --- 9  -> ((-1)*p23+(1))
26 --- 2  -> (p11)
26 --- 9  -> ((-1)*p11+(1))
27 --- 2  -> (p12)
27 --- 9  -> ((-1)*p12+(1))
28 --- 2  -> (p13)
28 --- 9  -> ((-1)*p13+(1))


In New Model number of states = ( 40 ); number of transition = ( 77 ) 

New transition
0 --- 1  -> (x)
0 --- 4  -> ((-1)*x+(1))
1 --- 26  -> (z11)/(z11+z12+z13)
1 --- 27  -> (z12)/(z11+z12+z13)
1 --- 28  -> (z13)/(z11+z12+z13)
2 --- 23  -> (z21)/(z21+z22+z23)
2 --- 24  -> (z22)/(z21+z22+z23)
2 --- 25  -> (z23)/(z21+z22+z23)
3 --- 20  -> (z31)/(z31+z32+z33)
3 --- 21  -> (z32)/(z31+z32+z33)
3 --- 22  -> (z33)/(z31+z32+z33)
6 --- 11  -> (z61)/(z61+z62+z63)
6 --- 12  -> (z62)/(z61+z62+z63)
6 --- 13  -> (z63)/(z61+z62+z63)
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 --- 6  -> (p51)
14 --- 9  -> ((-1)*p51+(1))
15 --- 6  -> (p52)
15 --- 9  -> ((-1)*p52+(1))
16 --- 6  -> (p53)
16 --- 9  -> ((-1)*p53+(1))
17 --- 8  -> (p41)
18 --- 8  -> (p42)
19 --- 8  -> (p43)
20 --- 6  -> (p31)
20 --- 9  -> ((-1)*p31+(1))
21 --- 6  -> (p32)
21 --- 9  -> ((-1)*p32+(1))
22 --- 6  -> (p33)
22 --- 9  -> ((-1)*p33+(1))
23 --- 7  -> (p21)
24 --- 7  -> (p22)
25 --- 7  -> (p23)
26 --- 2  -> (p11)
27 --- 2  -> (p12)
28 --- 2  -> (p13)
8 --- 17  -> ( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43) )
8 --- 18  -> ( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43) )
8 --- 19  -> ( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43) )
7 --- 29  -> ((-1)*y1-y2+(1))
29 --- 3  -> 1
24 --- 30  -> ((-1)*p22+(1))
30 --- 9  -> 1
25 --- 31  -> ((-1)*p23+(1))
31 --- 9  -> 1
8 --- 14  -> ( (z1) ) * ( (z51)/(z51+z52+z53) )
8 --- 15  -> ( (z1) ) * ( (z52)/(z51+z52+z53) )
8 --- 16  -> ( (z1) ) * ( (z53)/(z51+z52+z53) )
23 --- 32  -> ((-1)*p21+(1))
32 --- 9  -> 1
26 --- 33  -> ((-1)*p11+(1))
33 --- 9  -> 1
27 --- 34  -> ((-1)*p12+(1))
34 --- 9  -> 1
28 --- 35  -> ((-1)*p13+(1))
35 --- 9  -> 1
8 --- 36  -> (z2)
36 --- 0  -> 1
4 --- 8  ->   ( (z41)/(z41+z42+z43) ) * ( (p41) ) + ( (z42)/(z41+z42+z43) ) * ( (p42) )  + ( (z43)/(z41+z42+z43) ) * ( (p43) ) 
4 --- 9  ->   ( (z41)/(z41+z42+z43) ) * ( ((-1)*p41+(1)) ) + ( (z42)/(z41+z42+z43) ) * ( ((-1)*p42+(1)) )  + ( (z43)/(z41+z42+z43) ) * ( ((-1)*p43+(1)) ) 
5 --- 6  ->   ( (z51)/(z51+z52+z53) ) * ( (p51) ) + ( (z52)/(z51+z52+z53) ) * ( (p52) )  + ( (z53)/(z51+z52+z53) ) * ( (p53) ) 
5 --- 9  ->   ( (z51)/(z51+z52+z53) ) * ( ((-1)*p51+(1)) ) + ( (z52)/(z51+z52+z53) ) * ( ((-1)*p52+(1)) )  + ( (z53)/(z51+z52+z53) ) * ( ((-1)*p53+(1)) ) 
17 --- 37  -> ((-1)*p41+(1))
37 --- 9  -> 1
18 --- 38  -> ((-1)*p42+(1))
38 --- 9  -> 1
19 --- 39  -> ((-1)*p43+(1))
39 --- 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          3          true        false          true
   15          3          true        false          true
   16          3          true        false          true
   17          3          true        false          false
   18          3          true        false          false
   19          3          true        false          false
   20          7          true        true          true
   21          8          true        true          true
   22          9          true        true          true
   23          1          true        false          false
   24          1          true        false          false
   25          1          true        false          false
   26          1          true        false          false
   27          1          true        false          false
   28          1          true        false          false
   29          1          true        false          true
   30          1          true        false          true
   31          1          true        false          true
   32          1          true        false          true
   33          1          true        false          true
   34          1          true        false          true
   35          1          true        false          true
   36          3          true        false          true
   37          3          true        false          true
   38          3          true        false          true
   39          3          true        false          true

This is transition in Fragment (1) 
    [0, 1]  (x)
    [0, 4]  ((-1)*x+(1))
    [1, 26]  (z11)/(z11+z12+z13)
    [1, 27]  (z12)/(z11+z12+z13)
    [1, 28]  (z13)/(z11+z12+z13)
    [2, 23]  (z21)/(z21+z22+z23)
    [2, 24]  (z22)/(z21+z22+z23)
    [2, 25]  (z23)/(z21+z22+z23)
    [7, 1]  (y2)
    [7, 5]  (y1)
    [23, 7]  (p21)
    [24, 7]  (p22)
    [25, 7]  (p23)
    [26, 2]  (p11)
    [27, 2]  (p12)
    [28, 2]  (p13)
    [7, 29]  ((-1)*y1-y2+(1))
    [24, 30]  ((-1)*p22+(1))
    [25, 31]  ((-1)*p23+(1))
    [23, 32]  ((-1)*p21+(1))
    [26, 33]  ((-1)*p11+(1))
    [27, 34]  ((-1)*p12+(1))
    [28, 35]  ((-1)*p13+(1))
    [4, 4]  1
    [5, 5]  1
    [29, 29]  1
    [30, 30]  1
    [31, 31]  1
    [32, 32]  1
    [33, 33]  1
    [34, 34]  1
    [35, 35]  1

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

This is transition in Fragment (3) 
    [17, 8]  (p41)
    [18, 8]  (p42)
    [19, 8]  (p43)
    [8, 17]  ( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43) )
    [8, 18]  ( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43) )
    [8, 19]  ( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43) )
    [8, 14]  ( (z1) ) * ( (z51)/(z51+z52+z53) )
    [8, 15]  ( (z1) ) * ( (z52)/(z51+z52+z53) )
    [8, 16]  ( (z1) ) * ( (z53)/(z51+z52+z53) )
    [8, 36]  (z2)
    [17, 37]  ((-1)*p41+(1))
    [18, 38]  ((-1)*p42+(1))
    [19, 39]  ((-1)*p43+(1))
    [14, 14]  1
    [15, 15]  1
    [16, 16]  1
    [36, 36]  1
    [37, 37]  1
    [38, 38]  1
    [39, 39]  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) 
    [20, 20]  1

This is transition in Fragment (8) 
    [21, 21]  1

This is transition in Fragment (9) 
    [22, 22]  1

This is transition for abstract model 
    [3, 20]  (z31)/(z31+z32+z33)
    [3, 21]  (z32)/(z31+z32+z33)
    [3, 22]  (z33)/(z31+z32+z33)
    [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, 6]  ( (p51) ) * ( prob_f3_s14 )
    [14, 9]  ( ((-1)*p51+(1)) ) * ( prob_f3_s14 )
    [15, 6]  ( (p52) ) * ( prob_f3_s15 )
    [15, 9]  ( ((-1)*p52+(1)) ) * ( prob_f3_s15 )
    [16, 6]  ( (p53) ) * ( prob_f3_s16 )
    [16, 9]  ( ((-1)*p53+(1)) ) * ( prob_f3_s16 )
    [20, 6]  (p31)
    [20, 9]  ((-1)*p31+(1))
    [21, 6]  (p32)
    [21, 9]  ((-1)*p32+(1))
    [22, 6]  (p33)
    [22, 9]  ((-1)*p33+(1))
    [29, 3]  ( 1 ) * ( prob_f1_s29 )
    [30, 9]  ( 1 ) * ( prob_f1_s30 )
    [31, 9]  ( 1 ) * ( prob_f1_s31 )
    [32, 9]  ( 1 ) * ( prob_f1_s32 )
    [33, 9]  ( 1 ) * ( prob_f1_s33 )
    [34, 9]  ( 1 ) * ( prob_f1_s34 )
    [35, 9]  ( 1 ) * ( prob_f1_s35 )
    [36, 0]  ( 1 ) * ( prob_f3_s36 )
    [4, 8]  (   ( (z41)/(z41+z42+z43) ) * ( (p41) ) + ( (z42)/(z41+z42+z43) ) * ( (p42) )  + ( (z43)/(z41+z42+z43) ) * ( (p43) )  ) * ( prob_f1_s4 )
    [4, 9]  (   ( (z41)/(z41+z42+z43) ) * ( ((-1)*p41+(1)) ) + ( (z42)/(z41+z42+z43) ) * ( ((-1)*p42+(1)) )  + ( (z43)/(z41+z42+z43) ) * ( ((-1)*p43+(1)) )  ) * ( prob_f1_s4 )
    [5, 6]  (   ( (z51)/(z51+z52+z53) ) * ( (p51) ) + ( (z52)/(z51+z52+z53) ) * ( (p52) )  + ( (z53)/(z51+z52+z53) ) * ( (p53) )  ) * ( prob_f1_s5 )
    [5, 9]  (   ( (z51)/(z51+z52+z53) ) * ( ((-1)*p51+(1)) ) + ( (z52)/(z51+z52+z53) ) * ( ((-1)*p52+(1)) )  + ( (z53)/(z51+z52+z53) ) * ( ((-1)*p53+(1)) )  ) * ( prob_f1_s5 )
    [37, 9]  ( 1 ) * ( prob_f3_s37 )
    [38, 9]  ( 1 ) * ( prob_f3_s38 )
    [39, 9]  ( 1 ) * ( prob_f3_s39 )
****************************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)); 
P1_1_4 = ((z12)/(z11+z12+z13)); 
P1_1_5 = ((z13)/(z11+z12+z13)); 
P1_2_6 = ((z21)/(z21+z22+z23)); 
P1_2_7 = ((z22)/(z21+z22+z23)); 
P1_2_8 = ((z23)/(z21+z22+z23)); 
P1_7_9 = ((y2)); 
P1_7_10 = ((y1)); 
P1_7_17 = (((-1)*y1-y2+(1))); 
P1_23_11 = ((p21)); 
P1_23_20 = (((-1)*p21+(1))); 
P1_24_12 = ((p22)); 
P1_24_18 = (((-1)*p22+(1))); 
P1_25_13 = ((p23)); 
P1_25_19 = (((-1)*p23+(1))); 
P1_26_14 = ((p11)); 
P1_26_21 = (((-1)*p11+(1))); 
P1_27_15 = ((p12)); 
P1_27_22 = (((-1)*p12+(1))); 
P1_28_16 = ((p13)); 
P1_28_23 = (((-1)*p13+(1))); 

prob_f1_s4  =( (P1_0_2)/(1)); 
prob_f1_s5  =( (-1 * ((P1_0_1) * (P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_10+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_10+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_10+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_10+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_10+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_10+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_10+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_10+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_10)))/(P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_9+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_9+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_9+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_9+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_9+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_9+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_9+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_9+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_9+(-1))); 
prob_f1_s29  =( (-1 * ((P1_0_1) * (P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_17+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_17+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_17+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_17+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_17+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_17+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_17+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_17+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_17)))/(P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_9+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_9+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_9+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_9+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_9+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_9+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_9+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_9+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_9+(-1))); 
prob_f1_s30  =( (-1 * ((P1_0_1) * (P1_1_5*P1_28_16*P1_2_7*P1_24_18+P1_1_3*P1_26_14*P1_2_7*P1_24_18+P1_1_4*P1_27_15*P1_2_7*P1_24_18)))/(P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_9+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_9+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_9+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_9+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_9+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_9+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_9+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_9+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_9+(-1))); 
prob_f1_s31  =( (-1 * ((P1_0_1) * (P1_1_5*P1_28_16*P1_2_8*P1_25_19+P1_1_3*P1_26_14*P1_2_8*P1_25_19+P1_1_4*P1_27_15*P1_2_8*P1_25_19)))/(P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_9+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_9+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_9+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_9+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_9+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_9+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_9+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_9+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_9+(-1))); 
prob_f1_s32  =( (-1 * ((P1_0_1) * (P1_1_5*P1_28_16*P1_2_6*P1_23_20+P1_1_3*P1_26_14*P1_2_6*P1_23_20+P1_1_4*P1_27_15*P1_2_6*P1_23_20)))/(P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_9+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_9+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_9+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_9+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_9+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_9+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_9+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_9+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_9+(-1))); 
prob_f1_s33  =( (-1 * ((P1_0_1) * (P1_1_3*P1_26_21)))/(P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_9+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_9+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_9+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_9+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_9+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_9+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_9+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_9+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_9+(-1))); 
prob_f1_s34  =( (-1 * ((P1_0_1) * (P1_1_4*P1_27_22)))/(P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_9+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_9+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_9+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_9+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_9+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_9+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_9+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_9+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_9+(-1))); 
prob_f1_s35  =( (-1 * ((P1_0_1) * (P1_1_5*P1_28_23)))/(P1_1_5*P1_28_16*P1_2_8*P1_25_13*P1_7_9+P1_1_4*P1_27_15*P1_2_8*P1_25_13*P1_7_9+P1_1_3*P1_26_14*P1_2_8*P1_25_13*P1_7_9+P1_1_5*P1_28_16*P1_2_7*P1_24_12*P1_7_9+P1_1_4*P1_27_15*P1_2_7*P1_24_12*P1_7_9+P1_1_3*P1_26_14*P1_2_7*P1_24_12*P1_7_9+P1_1_5*P1_28_16*P1_2_6*P1_23_11*P1_7_9+P1_1_4*P1_27_15*P1_2_6*P1_23_11*P1_7_9+P1_1_3*P1_26_14*P1_2_6*P1_23_11*P1_7_9+(-1))); 
P2_6_1 = ((z61)/(z61+z62+z63)); 
P2_6_2 = ((z62)/(z61+z62+z63)); 
P2_6_3 = ((z63)/(z61+z62+z63)); 

prob_f2_s11  =( (P2_6_1)/(1)); 
prob_f2_s12  =( (P2_6_2)/(1)); 
prob_f2_s13  =( (P2_6_3)/(1)); 
P3_8_4 = (( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42+z43) )); 
P3_8_5 = (( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42+z43) )); 
P3_8_6 = (( ((-1)*z1-z2+(1)) ) * ( (z43)/(z41+z42+z43) )); 
P3_8_7 = (( (z1) ) * ( (z51)/(z51+z52+z53) )); 
P3_8_8 = (( (z1) ) * ( (z52)/(z51+z52+z53) )); 
P3_8_9 = (( (z1) ) * ( (z53)/(z51+z52+z53) )); 
P3_8_10 = ((z2)); 
P3_17_1 = ((p41)); 
P3_17_11 = (((-1)*p41+(1))); 
P3_18_2 = ((p42)); 
P3_18_12 = (((-1)*p42+(1))); 
P3_19_3 = ((p43)); 
P3_19_13 = (((-1)*p43+(1))); 

prob_f3_s14  =( (-1 * (P3_8_7))/(P3_8_6*P3_19_3+P3_8_5*P3_18_2+P3_8_4*P3_17_1+(-1))); 
prob_f3_s15  =( (-1 * (P3_8_8))/(P3_8_6*P3_19_3+P3_8_5*P3_18_2+P3_8_4*P3_17_1+(-1))); 
prob_f3_s16  =( (-1 * (P3_8_9))/(P3_8_6*P3_19_3+P3_8_5*P3_18_2+P3_8_4*P3_17_1+(-1))); 
prob_f3_s36  =( (-1 * (P3_8_10))/(P3_8_6*P3_19_3+P3_8_5*P3_18_2+P3_8_4*P3_17_1+(-1))); 
prob_f3_s37  =( (-1 * ((P3_8_4) * (P3_17_11)))/(P3_8_6*P3_19_3+P3_8_5*P3_18_2+P3_8_4*P3_17_1+(-1))); 
prob_f3_s38  =( (-1 * ((P3_8_5) * (P3_18_12)))/(P3_8_6*P3_19_3+P3_8_5*P3_18_2+P3_8_4*P3_17_1+(-1))); 
prob_f3_s39  =( (-1 * ((P3_8_6) * (P3_19_13)))/(P3_8_6*P3_19_3+P3_8_5*P3_18_2+P3_8_4*P3_17_1+(-1))); 
PX_0_16 = (( 1 ) * ( prob_f1_s29 )); 
PX_0_17 = (       ( 1 ) * ( prob_f1_s30 ) + ( 1 ) * ( prob_f1_s31 )  + ( 1 ) * ( prob_f1_s32 )  + ( 1 ) * ( prob_f1_s33 )  + ( 1 ) * ( prob_f1_s34 )  + ( 1 ) * ( prob_f1_s35 )  + (   ( (z41)/(z41+z42+z43) ) * ( ((-1)*p41+(1)) ) + ( (z42)/(z41+z42+z43) ) * ( ((-1)*p42+(1)) )  + ( (z43)/(z41+z42+z43) ) * ( ((-1)*p43+(1)) )  ) * ( prob_f1_s4 )  + (   ( (z51)/(z51+z52+z53) ) * ( ((-1)*p51+(1)) ) + ( (z52)/(z51+z52+z53) ) * ( ((-1)*p52+(1)) )  + ( (z53)/(z51+z52+z53) ) * ( ((-1)*p53+(1)) )  ) * ( prob_f1_s5 ) );
PX_0_19 = ((   ( (z41)/(z41+z42+z43) ) * ( (p41) ) + ( (z42)/(z41+z42+z43) ) * ( (p42) )  + ( (z43)/(z41+z42+z43) ) * ( (p43) )  ) * ( prob_f1_s4 ));
PX_0_20 = ((   ( (z51)/(z51+z52+z53) ) * ( (p51) ) + ( (z52)/(z51+z52+z53) ) * ( (p52) )  + ( (z53)/(z51+z52+z53) ) * ( (p53) )  ) * ( prob_f1_s5 ));
PX_1_6 = (  ( ((-1)*p61+(1)) ) * ( prob_f2_s11 ) + ( ((-1)*p62+(1)) ) * ( prob_f2_s12 )  + ( ((-1)*p63+(1)) ) * ( prob_f2_s13 ) ); 
PX_1_7 = (  ( (p61) ) * ( prob_f2_s11 ) + ( (p62) ) * ( prob_f2_s12 )  + ( (p63) ) * ( prob_f2_s13 ) );
PX_2_8 = (  ( (p51) ) * ( prob_f3_s14 ) + ( (p52) ) * ( prob_f3_s15 )  + ( (p53) ) * ( prob_f3_s16 ) ); 
PX_2_9 = (     ( ((-1)*p51+(1)) ) * ( prob_f3_s14 ) + ( ((-1)*p52+(1)) ) * ( prob_f3_s15 )  + ( ((-1)*p53+(1)) ) * ( prob_f3_s16 )  + ( 1 ) * ( prob_f3_s37 )  + ( 1 ) * ( prob_f3_s38 )  + ( 1 ) * ( prob_f3_s39 ) );
PX_2_18 = (( 1 ) * ( prob_f3_s36 ));
PX_3_1 = ((z31)/(z31+z32+z33)); 
PX_3_2 = ((z32)/(z31+z32+z33));
PX_3_3 = ((z33)/(z31+z32+z33));
PX_4_4 = ((1)); 
PX_5_5 = ((1)); 
PX_6_10 = ((p31)); 
PX_6_11 = (((-1)*p31+(1)));
PX_7_12 = ((p32)); 
PX_7_13 = (((-1)*p32+(1)));
PX_8_14 = ((p33)); 
PX_8_15 = (((-1)*p33+(1)));

Output_abstract_model =( (-1 * ((PX_1_7) * (PX_0_19*PX_2_8+PX_0_20)))/(PX_0_19*PX_2_18+(-1))); 
