Min_number = ( 0 ) ; Max_number = ( 5 )
In original model number_of_states = ( 23 ); number_of_transition = ( 46 ) 

Original Transition
0 --- 1  -> (x)
0 --- 4  -> ((-1)*x+(1))
1 --- 21  -> (z11)/(z11+z12)
1 --- 22  -> (z12)/(z11+z12)
2 --- 19  -> (z21)/(z21+z22)
2 --- 20  -> (z22)/(z21+z22)
3 --- 17  -> (z31)/(z31+z32)
3 --- 18  -> (z32)/(z31+z32)
4 --- 15  -> (z41)/(z41+z42)
4 --- 16  -> (z42)/(z41+z42)
5 --- 13  -> (z51)/(z51+z52)
5 --- 14  -> (z52)/(z51+z52)
6 --- 11  -> (z61)/(z61+z62)
6 --- 12  -> (z62)/(z61+z62)
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 --- 6  -> (p51)
13 --- 9  -> ((-1)*p51+(1))
14 --- 6  -> (p52)
14 --- 9  -> ((-1)*p52+(1))
15 --- 8  -> (p41)
15 --- 9  -> ((-1)*p41+(1))
16 --- 8  -> (p42)
16 --- 9  -> ((-1)*p42+(1))
17 --- 6  -> (p31)
17 --- 9  -> ((-1)*p31+(1))
18 --- 6  -> (p32)
18 --- 9  -> ((-1)*p32+(1))
19 --- 7  -> (p21)
19 --- 9  -> ((-1)*p21+(1))
20 --- 7  -> (p22)
20 --- 9  -> ((-1)*p22+(1))
21 --- 2  -> (p11)
21 --- 9  -> ((-1)*p11+(1))
22 --- 2  -> (p12)
22 --- 9  -> ((-1)*p12+(1))


In New Model number of states = ( 34 ); number of transition = ( 59 ) 

New transition
0 --- 1  -> (x)
0 --- 4  -> ((-1)*x+(1))
1 --- 21  -> (z11)/(z11+z12)
1 --- 22  -> (z12)/(z11+z12)
2 --- 19  -> (z21)/(z21+z22)
2 --- 20  -> (z22)/(z21+z22)
3 --- 17  -> (z31)/(z31+z32)
3 --- 18  -> (z32)/(z31+z32)
4 --- 15  -> (z41)/(z41+z42)
4 --- 16  -> (z42)/(z41+z42)
5 --- 13  -> (z51)/(z51+z52)
5 --- 14  -> (z52)/(z51+z52)
6 --- 11  -> (z61)/(z61+z62)
6 --- 12  -> (z62)/(z61+z62)
7 --- 1  -> (y2)
7 --- 3  -> ((-1)*y1-y2+(1))
7 --- 5  -> (y1)
9 --- 9  -> (1)
10 --- 0  -> (1)
32 --- 9  -> ((-1)*p61+(1))
32 --- 10  -> (p61)
33 --- 9  -> ((-1)*p62+(1))
33 --- 10  -> (p62)
13 --- 6  -> (p51)
13 --- 9  -> ((-1)*p51+(1))
14 --- 6  -> (p52)
14 --- 9  -> ((-1)*p52+(1))
15 --- 8  -> (p41)
15 --- 9  -> ((-1)*p41+(1))
16 --- 8  -> (p42)
16 --- 9  -> ((-1)*p42+(1))
17 --- 6  -> (p31)
17 --- 9  -> ((-1)*p31+(1))
18 --- 6  -> (p32)
18 --- 9  -> ((-1)*p32+(1))
19 --- 7  -> (p21)
20 --- 7  -> (p22)
21 --- 2  -> (p11)
22 --- 2  -> (p12)
20 --- 23  -> ((-1)*p22+(1))
23 --- 9  -> 1
19 --- 24  -> ((-1)*p21+(1))
24 --- 9  -> 1
21 --- 25  -> ((-1)*p11+(1))
25 --- 9  -> 1
22 --- 26  -> ((-1)*p12+(1))
26 --- 9  -> 1
8 --- 27  -> (z2)
27 --- 0  -> 1
8 --- 28  -> ( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42) )
28 --- 15  -> 1
8 --- 29  -> ( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42) )
29 --- 16  -> 1
8 --- 30  -> ( (z1) ) * ( (z51)/(z51+z52) )
30 --- 13  -> 1
8 --- 31  -> ( (z1) ) * ( (z52)/(z51+z52) )
31 --- 14  -> 1
11 --- 32  -> 1
12 --- 33  -> 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          7          true        true          true
   10          8          true        true          true
   11          2          true        false          false
   12          2          true        false          false
   13          9          true        true          true
   14          10          true        true          true
   15          11          true        true          true
   16          12          true        true          true
   17          5          true        true          true
   18          6          true        true          true
   19          1          true        false          false
   20          1          true        false          false
   21          1          true        false          false
   22          1          true        false          false
   23          1          true        false          true
   24          1          true        false          true
   25          1          true        false          true
   26          1          true        false          true
   27          4          true        false          true
   28          4          true        false          true
   29          4          true        false          true
   30          4          true        false          true
   31          4          true        false          true
   32          2          true        false          true
   33          2          true        false          true

This is transition in Fragment (1) 
    [0, 1]  (x)
    [0, 4]  ((-1)*x+(1))
    [1, 21]  (z11)/(z11+z12)
    [1, 22]  (z12)/(z11+z12)
    [2, 19]  (z21)/(z21+z22)
    [2, 20]  (z22)/(z21+z22)
    [7, 1]  (y2)
    [7, 3]  ((-1)*y1-y2+(1))
    [7, 5]  (y1)
    [19, 7]  (p21)
    [20, 7]  (p22)
    [21, 2]  (p11)
    [22, 2]  (p12)
    [20, 23]  ((-1)*p22+(1))
    [19, 24]  ((-1)*p21+(1))
    [21, 25]  ((-1)*p11+(1))
    [22, 26]  ((-1)*p12+(1))
    [3, 3]  1
    [4, 4]  1
    [5, 5]  1
    [23, 23]  1
    [24, 24]  1
    [25, 25]  1
    [26, 26]  1

This is transition in Fragment (2) 
    [6, 11]  (z61)/(z61+z62)
    [6, 12]  (z62)/(z61+z62)
    [11, 32]  1
    [12, 33]  1
    [32, 32]  1
    [33, 33]  1

This is transition in Fragment (3) 

This is transition in Fragment (4) 
    [8, 27]  (z2)
    [8, 28]  ( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42) )
    [8, 29]  ( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42) )
    [8, 30]  ( (z1) ) * ( (z51)/(z51+z52) )
    [8, 31]  ( (z1) ) * ( (z52)/(z51+z52) )
    [27, 27]  1
    [28, 28]  1
    [29, 29]  1
    [30, 30]  1
    [31, 31]  1

This is transition in Fragment (5) 
    [17, 17]  1

This is transition in Fragment (6) 
    [18, 18]  1

This is transition in Fragment (7) 
    [9, 9]  1

This is transition in Fragment (8) 
    [10, 10]  1

This is transition in Fragment (9) 
    [13, 13]  1

This is transition in Fragment (10) 
    [14, 14]  1

This is transition in Fragment (11) 
    [15, 15]  1

This is transition for abstract model 
    [3, 17]  ( (z31)/(z31+z32) ) * ( prob_f1_s3 )
    [3, 18]  ( (z32)/(z31+z32) ) * ( prob_f1_s3 )
    [4, 15]  ( (z41)/(z41+z42) ) * ( prob_f1_s4 )
    [4, 16]  ( (z42)/(z41+z42) ) * ( prob_f1_s4 )
    [5, 13]  ( (z51)/(z51+z52) ) * ( prob_f1_s5 )
    [5, 14]  ( (z52)/(z51+z52) ) * ( prob_f1_s5 )
    [9, 9]  (1)
    [10, 0]  (1)
    [32, 9]  ( ((-1)*p61+(1)) ) * ( prob_f2_s32 )
    [32, 10]  ( (p61) ) * ( prob_f2_s32 )
    [33, 9]  ( ((-1)*p62+(1)) ) * ( prob_f2_s33 )
    [33, 10]  ( (p62) ) * ( prob_f2_s33 )
    [13, 6]  (p51)
    [13, 9]  ((-1)*p51+(1))
    [14, 6]  (p52)
    [14, 9]  ((-1)*p52+(1))
    [15, 8]  (p41)
    [15, 9]  ((-1)*p41+(1))
    [16, 8]  (p42)
    [16, 9]  ((-1)*p42+(1))
    [17, 6]  (p31)
    [17, 9]  ((-1)*p31+(1))
    [18, 6]  (p32)
    [18, 9]  ((-1)*p32+(1))
    [23, 9]  ( 1 ) * ( prob_f1_s23 )
    [24, 9]  ( 1 ) * ( prob_f1_s24 )
    [25, 9]  ( 1 ) * ( prob_f1_s25 )
    [26, 9]  ( 1 ) * ( prob_f1_s26 )
    [27, 0]  ( 1 ) * ( prob_f4_s27 )
    [28, 15]  ( 1 ) * ( prob_f4_s28 )
    [29, 16]  ( 1 ) * ( prob_f4_s29 )
    [30, 13]  ( 1 ) * ( prob_f4_s30 )
    [31, 14]  ( 1 ) * ( prob_f4_s31 )
****************************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)); 
P1_1_4 = ((z12)/(z11+z12)); 
P1_2_5 = ((z21)/(z21+z22)); 
P1_2_6 = ((z22)/(z21+z22)); 
P1_7_7 = ((y2)); 
P1_7_8 = (((-1)*y1-y2+(1))); 
P1_7_9 = ((y1)); 
P1_19_10 = ((p21)); 
P1_19_15 = (((-1)*p21+(1))); 
P1_20_11 = ((p22)); 
P1_20_14 = (((-1)*p22+(1))); 
P1_21_12 = ((p11)); 
P1_21_16 = (((-1)*p11+(1))); 
P1_22_13 = ((p12)); 
P1_22_17 = (((-1)*p12+(1))); 

prob_f1_s3  =( (-1 * ((P1_0_1) * (P1_1_4*P1_22_13*P1_2_6*P1_20_11*P1_7_8+P1_1_3*P1_21_12*P1_2_6*P1_20_11*P1_7_8+P1_1_3*P1_21_12*P1_2_5*P1_19_10*P1_7_8+P1_1_4*P1_22_13*P1_2_5*P1_19_10*P1_7_8)))/(P1_1_4*P1_22_13*P1_2_6*P1_20_11*P1_7_7+P1_1_3*P1_21_12*P1_2_6*P1_20_11*P1_7_7+P1_1_4*P1_22_13*P1_2_5*P1_19_10*P1_7_7+P1_1_3*P1_21_12*P1_2_5*P1_19_10*P1_7_7+(-1))); 
prob_f1_s4  =( (P1_0_2)/(1)); 
prob_f1_s5  =( (-1 * ((P1_0_1) * (P1_1_4*P1_22_13*P1_2_6*P1_20_11*P1_7_9+P1_1_3*P1_21_12*P1_2_6*P1_20_11*P1_7_9+P1_1_3*P1_21_12*P1_2_5*P1_19_10*P1_7_9+P1_1_4*P1_22_13*P1_2_5*P1_19_10*P1_7_9)))/(P1_1_4*P1_22_13*P1_2_6*P1_20_11*P1_7_7+P1_1_3*P1_21_12*P1_2_6*P1_20_11*P1_7_7+P1_1_4*P1_22_13*P1_2_5*P1_19_10*P1_7_7+P1_1_3*P1_21_12*P1_2_5*P1_19_10*P1_7_7+(-1))); 
prob_f1_s23  =( (-1 * ((P1_0_1) * (P1_1_4*P1_22_13*P1_2_6*P1_20_14+P1_1_3*P1_21_12*P1_2_6*P1_20_14)))/(P1_1_4*P1_22_13*P1_2_6*P1_20_11*P1_7_7+P1_1_3*P1_21_12*P1_2_6*P1_20_11*P1_7_7+P1_1_4*P1_22_13*P1_2_5*P1_19_10*P1_7_7+P1_1_3*P1_21_12*P1_2_5*P1_19_10*P1_7_7+(-1))); 
prob_f1_s24  =( (-1 * ((P1_0_1) * (P1_1_4*P1_22_13*P1_2_5*P1_19_15+P1_1_3*P1_21_12*P1_2_5*P1_19_15)))/(P1_1_4*P1_22_13*P1_2_6*P1_20_11*P1_7_7+P1_1_4*P1_22_13*P1_2_5*P1_19_10*P1_7_7+P1_1_3*P1_21_12*P1_2_6*P1_20_11*P1_7_7+P1_1_3*P1_21_12*P1_2_5*P1_19_10*P1_7_7+(-1))); 
prob_f1_s25  =( (-1 * ((P1_0_1) * (P1_1_3*P1_21_16)))/(P1_1_4*P1_22_13*P1_2_6*P1_20_11*P1_7_7+P1_1_4*P1_22_13*P1_2_5*P1_19_10*P1_7_7+P1_1_3*P1_21_12*P1_2_6*P1_20_11*P1_7_7+P1_1_3*P1_21_12*P1_2_5*P1_19_10*P1_7_7+(-1))); 
prob_f1_s26  =( (-1 * ((P1_0_1) * (P1_1_4*P1_22_17)))/(P1_1_4*P1_22_13*P1_2_6*P1_20_11*P1_7_7+P1_1_3*P1_21_12*P1_2_6*P1_20_11*P1_7_7+P1_1_4*P1_22_13*P1_2_5*P1_19_10*P1_7_7+P1_1_3*P1_21_12*P1_2_5*P1_19_10*P1_7_7+(-1))); 
P1_0_1 = ((x)); 
P1_0_2 = (((-1)*x+(1))); 
P1_1_3 = ((z11)/(z11+z12)); 
P1_1_4 = ((z12)/(z11+z12)); 
P1_2_5 = ((z21)/(z21+z22)); 
P1_2_6 = ((z22)/(z21+z22)); 
P1_7_7 = ((y2)); 
P1_7_8 = (((-1)*y1-y2+(1))); 
P1_7_9 = ((y1)); 
P1_19_10 = ((p21)); 
P1_19_15 = (((-1)*p21+(1))); 
P1_20_11 = ((p22)); 
P1_20_14 = (((-1)*p22+(1))); 
P1_21_12 = ((p11)); 
P1_21_16 = (((-1)*p11+(1))); 
P1_22_13 = ((p12)); 
P1_22_17 = (((-1)*p12+(1))); 

ab0 =( (-1 * ((P1_0_1) * (P1_1_4*P1_22_13*P1_2_6*t22+P1_1_3*P1_21_12*P1_2_6*t22+P1_1_4*P1_22_13*P1_2_5*t21+P1_1_4*t12+P1_1_3*t11+P1_1_3*P1_21_12*P1_2_5*t21)))/(P1_1_4*P1_22_13*P1_2_6*P1_20_11*P1_7_7+P1_1_3*P1_21_12*P1_2_6*P1_20_11*P1_7_7+P1_1_4*P1_22_13*P1_2_5*P1_19_10*P1_7_7+P1_1_3*P1_21_12*P1_2_5*P1_19_10*P1_7_7+(-1))); 
P2_6_1 = ((z61)/(z61+z62)); 
P2_6_2 = ((z62)/(z61+z62)); 
P2_11_3 = (1); 
P2_12_4 = (1); 

prob_f2_s32  =( (P2_6_1)/(1)); 
prob_f2_s33  =( (P2_6_2)/(1)); 
P2_6_1 = ((z61)/(z61+z62)); 
P2_6_2 = ((z62)/(z61+z62)); 
P2_11_3 = (1); 
P2_12_4 = (1); 

ab1 =( (P2_6_2*t62+P2_6_1*t61)/(1)); 
P4_8_1 = ((z2)); 
P4_8_2 = (( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42) )); 
P4_8_3 = (( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42) )); 
P4_8_4 = (( (z1) ) * ( (z51)/(z51+z52) )); 
P4_8_5 = (( (z1) ) * ( (z52)/(z51+z52) )); 

prob_f4_s27  =( (P4_8_1)/(1)); 
prob_f4_s28  =( (P4_8_2)/(1)); 
prob_f4_s29  =( (P4_8_3)/(1)); 
prob_f4_s30  =( (P4_8_4)/(1)); 
prob_f4_s31  =( (P4_8_5)/(1)); 
P4_8_1 = ((z2)); 
P4_8_2 = (( ((-1)*z1-z2+(1)) ) * ( (z41)/(z41+z42) )); 
P4_8_3 = (( ((-1)*z1-z2+(1)) ) * ( (z42)/(z41+z42) )); 
P4_8_4 = (( (z1) ) * ( (z51)/(z51+z52) )); 
P4_8_5 = (( (z1) ) * ( (z52)/(z51+z52) )); 

ab3 =( 0); 
PX_0_1 = (( (z31)/(z31+z32) ) * ( prob_f1_s3 )); 
PX_0_2 = (( (z32)/(z31+z32) ) * ( prob_f1_s3 ));
PX_0_3 = (( (z41)/(z41+z42) ) * ( prob_f1_s4 ));
PX_0_4 = (( (z42)/(z41+z42) ) * ( prob_f1_s4 ));
PX_0_5 = (( (z51)/(z51+z52) ) * ( prob_f1_s5 ));
PX_0_6 = (( (z52)/(z51+z52) ) * ( prob_f1_s5 ));
PX_0_23 = (   ( 1 ) * ( prob_f1_s23 ) + ( 1 ) * ( prob_f1_s24 )  + ( 1 ) * ( prob_f1_s25 )  + ( 1 ) * ( prob_f1_s26 ) );
PX_1_9 = ( ( ((-1)*p61+(1)) ) * ( prob_f2_s32 ) + ( ((-1)*p62+(1)) ) * ( prob_f2_s33 ) ); 
PX_1_10 = ( ( (p61) ) * ( prob_f2_s32 ) + ( (p62) ) * ( prob_f2_s33 ) );
PX_3_24 = (( 1 ) * ( prob_f4_s27 )); 
PX_3_25 = (( 1 ) * ( prob_f4_s28 ));
PX_3_26 = (( 1 ) * ( prob_f4_s29 ));
PX_3_27 = (( 1 ) * ( prob_f4_s30 ));
PX_3_28 = (( 1 ) * ( prob_f4_s31 ));
PX_4_19 = ((p31)); 
PX_4_20 = (((-1)*p31+(1)));
PX_5_21 = ((p32)); 
PX_5_22 = (((-1)*p32+(1)));
PX_6_7 = ((1)); 
PX_7_8 = ((1)); 
PX_8_11 = ((p51)); 
PX_8_12 = (((-1)*p51+(1)));
PX_9_13 = ((p52)); 
PX_9_14 = (((-1)*p52+(1)));
PX_10_15 = ((p41)); 
PX_10_16 = (((-1)*p41+(1)));
PX_11_17 = ((p42)); 
PX_11_18 = (((-1)*p42+(1)));

Output_abstract_model =( (PX_0_6*PX_11_17*PX_9_13*ab1*PX_3_26+(-1)*PX_0_5*PX_8_11*ab1+(-1)*PX_0_6*PX_9_13*ab1+PX_0_6*PX_10_15*t52*PX_3_25+PX_0_5*PX_10_15*t51*PX_3_25+PX_0_2*t32*PX_10_15*PX_3_25+PX_0_1*t31*PX_10_15*PX_3_25+ab0*PX_10_15*PX_3_25+PX_0_1*PX_4_19*PX_10_15*ab1*PX_3_25+PX_0_2*PX_5_21*PX_10_15*ab1*PX_3_25+PX_0_5*PX_10_15*PX_8_11*ab1*PX_3_25+PX_0_6*PX_10_15*PX_9_13*ab1*PX_3_25+(-1)*PX_0_1*PX_4_19*ab1+(-1)*ab0+(-1)*PX_0_1*t31+(-1)*PX_0_2*t32+(-1)*PX_0_3*PX_10_15*PX_8_11*ab1*PX_3_27+(-1)*PX_0_3*PX_10_15*PX_9_13*ab1*PX_3_28+(-1)*PX_0_3*PX_10_15*t42*PX_3_26+(-1)*PX_0_3*PX_10_15*t51*PX_3_27+(-1)*PX_0_5*t51+PX_0_6*PX_11_17*t52*PX_3_26+PX_0_5*PX_11_17*t51*PX_3_26+PX_0_2*t32*PX_11_17*PX_3_26+PX_0_1*t31*PX_11_17*PX_3_26+ab0*PX_11_17*PX_3_26+PX_0_1*PX_4_19*PX_11_17*ab1*PX_3_26+PX_0_2*PX_5_21*PX_11_17*ab1*PX_3_26+PX_0_5*PX_11_17*PX_8_11*ab1*PX_3_26+(-1)*PX_0_2*PX_5_21*ab1+(-1)*PX_0_3*PX_10_15*t52*PX_3_28+(-1)*PX_0_4*PX_11_17*t51*PX_3_27+(-1)*PX_0_4*PX_11_17*PX_8_11*ab1*PX_3_27+(-1)*PX_0_4*PX_11_17*PX_9_13*ab1*PX_3_28+(-1)*PX_0_4*t41*PX_11_17*PX_3_25+(-1)*PX_0_4*PX_11_17*t52*PX_3_28+PX_0_4*PX_10_15*t42*PX_3_25+PX_0_3*t41*PX_11_17*PX_3_26+(-1)*PX_0_6*t52+(-1)*PX_0_4*t42+(-1)*PX_0_3*t41)/(PX_0_4*PX_11_17*PX_3_24+PX_11_17*PX_3_26+PX_0_3*PX_10_15*PX_3_24+PX_10_15*PX_3_25+(-1))); 
