/export/starexec/sandbox/solver/bin/starexec_run_standard /export/starexec/sandbox/benchmark/theBenchmark.hs /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty


H-Termination with start terms of the given HASKELL could be proven:

(0) HASKELL
(1) BR [EQUIVALENT, 0 ms]
(2) HASKELL
(3) COR [EQUIVALENT, 0 ms]
(4) HASKELL
(5) Narrow [EQUIVALENT, 23 ms]
(6) YES


----------------------------------------

(0)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data MyBool = MyTrue  | MyFalse ;

data Ordering = LT  | EQ  | GT ;

data Tup2 b a = Tup2 b a ;

asAs :: MyBool  ->  MyBool  ->  MyBool;
asAs MyFalse x = MyFalse;
asAs MyTrue x = x;

compare0 x y MyTrue = GT;

compare1 x y MyTrue = LT;
compare1 x y MyFalse = compare0 x y otherwise;

compare2 x y MyTrue = EQ;
compare2 x y MyFalse = compare1 x y (ltEsOrdering x y);

compare3 x y = compare2 x y (esEsOrdering x y);

compareOrdering :: Ordering  ->  Ordering  ->  Ordering;
compareOrdering x y = compare3 x y;

esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
esEsOrdering LT LT = MyTrue;
esEsOrdering LT EQ = MyFalse;
esEsOrdering LT GT = MyFalse;
esEsOrdering EQ LT = MyFalse;
esEsOrdering EQ EQ = MyTrue;
esEsOrdering EQ GT = MyFalse;
esEsOrdering GT LT = MyFalse;
esEsOrdering GT EQ = MyFalse;
esEsOrdering GT GT = MyTrue;

fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
fsEsOrdering x y = not (esEsOrdering x y);

gtEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
gtEsOrdering x y = fsEsOrdering (compareOrdering x y) LT;

inRangeOrdering :: Tup2 Ordering Ordering  ->  Ordering  ->  MyBool;
inRangeOrdering (Tup2 x y) z = asAs (gtEsOrdering y z) (gtEsOrdering z x);

ltEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
ltEsOrdering LT LT = MyTrue;
ltEsOrdering LT EQ = MyTrue;
ltEsOrdering LT GT = MyTrue;
ltEsOrdering EQ LT = MyFalse;
ltEsOrdering EQ EQ = MyTrue;
ltEsOrdering EQ GT = MyTrue;
ltEsOrdering GT LT = MyFalse;
ltEsOrdering GT EQ = MyFalse;
ltEsOrdering GT GT = MyTrue;

not :: MyBool  ->  MyBool;
not MyTrue = MyFalse;
not MyFalse = MyTrue;

otherwise :: MyBool;
otherwise = MyTrue;

}

----------------------------------------

(1) BR (EQUIVALENT)
Replaced joker patterns by fresh variables and removed binding patterns.
----------------------------------------

(2)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data MyBool = MyTrue  | MyFalse ;

data Ordering = LT  | EQ  | GT ;

data Tup2 a b = Tup2 a b ;

asAs :: MyBool  ->  MyBool  ->  MyBool;
asAs MyFalse x = MyFalse;
asAs MyTrue x = x;

compare0 x y MyTrue = GT;

compare1 x y MyTrue = LT;
compare1 x y MyFalse = compare0 x y otherwise;

compare2 x y MyTrue = EQ;
compare2 x y MyFalse = compare1 x y (ltEsOrdering x y);

compare3 x y = compare2 x y (esEsOrdering x y);

compareOrdering :: Ordering  ->  Ordering  ->  Ordering;
compareOrdering x y = compare3 x y;

esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
esEsOrdering LT LT = MyTrue;
esEsOrdering LT EQ = MyFalse;
esEsOrdering LT GT = MyFalse;
esEsOrdering EQ LT = MyFalse;
esEsOrdering EQ EQ = MyTrue;
esEsOrdering EQ GT = MyFalse;
esEsOrdering GT LT = MyFalse;
esEsOrdering GT EQ = MyFalse;
esEsOrdering GT GT = MyTrue;

fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
fsEsOrdering x y = not (esEsOrdering x y);

gtEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
gtEsOrdering x y = fsEsOrdering (compareOrdering x y) LT;

inRangeOrdering :: Tup2 Ordering Ordering  ->  Ordering  ->  MyBool;
inRangeOrdering (Tup2 x y) z = asAs (gtEsOrdering y z) (gtEsOrdering z x);

ltEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
ltEsOrdering LT LT = MyTrue;
ltEsOrdering LT EQ = MyTrue;
ltEsOrdering LT GT = MyTrue;
ltEsOrdering EQ LT = MyFalse;
ltEsOrdering EQ EQ = MyTrue;
ltEsOrdering EQ GT = MyTrue;
ltEsOrdering GT LT = MyFalse;
ltEsOrdering GT EQ = MyFalse;
ltEsOrdering GT GT = MyTrue;

not :: MyBool  ->  MyBool;
not MyTrue = MyFalse;
not MyFalse = MyTrue;

otherwise :: MyBool;
otherwise = MyTrue;

}

----------------------------------------

(3) COR (EQUIVALENT)
Cond Reductions:
The following Function with conditions
"undefined |Falseundefined;
"
is transformed to
"undefined  = undefined1;
"
"undefined0 True = undefined;
"
"undefined1  = undefined0 False;
"

----------------------------------------

(4)
Obligation:
mainModule Main 
module Main where {
import qualified Prelude;
data MyBool = MyTrue  | MyFalse ;

data Ordering = LT  | EQ  | GT ;

data Tup2 a b = Tup2 a b ;

asAs :: MyBool  ->  MyBool  ->  MyBool;
asAs MyFalse x = MyFalse;
asAs MyTrue x = x;

compare0 x y MyTrue = GT;

compare1 x y MyTrue = LT;
compare1 x y MyFalse = compare0 x y otherwise;

compare2 x y MyTrue = EQ;
compare2 x y MyFalse = compare1 x y (ltEsOrdering x y);

compare3 x y = compare2 x y (esEsOrdering x y);

compareOrdering :: Ordering  ->  Ordering  ->  Ordering;
compareOrdering x y = compare3 x y;

esEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
esEsOrdering LT LT = MyTrue;
esEsOrdering LT EQ = MyFalse;
esEsOrdering LT GT = MyFalse;
esEsOrdering EQ LT = MyFalse;
esEsOrdering EQ EQ = MyTrue;
esEsOrdering EQ GT = MyFalse;
esEsOrdering GT LT = MyFalse;
esEsOrdering GT EQ = MyFalse;
esEsOrdering GT GT = MyTrue;

fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
fsEsOrdering x y = not (esEsOrdering x y);

gtEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
gtEsOrdering x y = fsEsOrdering (compareOrdering x y) LT;

inRangeOrdering :: Tup2 Ordering Ordering  ->  Ordering  ->  MyBool;
inRangeOrdering (Tup2 x y) z = asAs (gtEsOrdering y z) (gtEsOrdering z x);

ltEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
ltEsOrdering LT LT = MyTrue;
ltEsOrdering LT EQ = MyTrue;
ltEsOrdering LT GT = MyTrue;
ltEsOrdering EQ LT = MyFalse;
ltEsOrdering EQ EQ = MyTrue;
ltEsOrdering EQ GT = MyTrue;
ltEsOrdering GT LT = MyFalse;
ltEsOrdering GT EQ = MyFalse;
ltEsOrdering GT GT = MyTrue;

not :: MyBool  ->  MyBool;
not MyTrue = MyFalse;
not MyFalse = MyTrue;

otherwise :: MyBool;
otherwise = MyTrue;

}

----------------------------------------

(5) Narrow (EQUIVALENT)
Haskell To QDPs

digraph dp_graph {
node [outthreshold=100, inthreshold=100];1[label="inRangeOrdering",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
3[label="inRangeOrdering vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
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149 -> 5[label="",style="solid", color="burlywood", weight=3];
5[label="inRangeOrdering (Tup2 vx30 vx31) vx4",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
6[label="asAs (gtEsOrdering vx31 vx4) (gtEsOrdering vx4 vx30)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
7[label="asAs (fsEsOrdering (compareOrdering vx31 vx4) LT) (gtEsOrdering vx4 vx30)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
8[label="asAs (not (esEsOrdering (compareOrdering vx31 vx4) LT)) (gtEsOrdering vx4 vx30)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3];
9[label="asAs (not (esEsOrdering (compare3 vx31 vx4) LT)) (gtEsOrdering vx4 vx30)",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
10[label="asAs (not (esEsOrdering (compare2 vx31 vx4 (esEsOrdering vx31 vx4)) LT)) (gtEsOrdering vx4 vx30)",fontsize=16,color="burlywood",shape="box"];150[label="vx31/LT",fontsize=10,color="white",style="solid",shape="box"];10 -> 150[label="",style="solid", color="burlywood", weight=9];
150 -> 11[label="",style="solid", color="burlywood", weight=3];
151[label="vx31/EQ",fontsize=10,color="white",style="solid",shape="box"];10 -> 151[label="",style="solid", color="burlywood", weight=9];
151 -> 12[label="",style="solid", color="burlywood", weight=3];
152[label="vx31/GT",fontsize=10,color="white",style="solid",shape="box"];10 -> 152[label="",style="solid", color="burlywood", weight=9];
152 -> 13[label="",style="solid", color="burlywood", weight=3];
11[label="asAs (not (esEsOrdering (compare2 LT vx4 (esEsOrdering LT vx4)) LT)) (gtEsOrdering vx4 vx30)",fontsize=16,color="burlywood",shape="box"];153[label="vx4/LT",fontsize=10,color="white",style="solid",shape="box"];11 -> 153[label="",style="solid", color="burlywood", weight=9];
153 -> 14[label="",style="solid", color="burlywood", weight=3];
154[label="vx4/EQ",fontsize=10,color="white",style="solid",shape="box"];11 -> 154[label="",style="solid", color="burlywood", weight=9];
154 -> 15[label="",style="solid", color="burlywood", weight=3];
155[label="vx4/GT",fontsize=10,color="white",style="solid",shape="box"];11 -> 155[label="",style="solid", color="burlywood", weight=9];
155 -> 16[label="",style="solid", color="burlywood", weight=3];
12[label="asAs (not (esEsOrdering (compare2 EQ vx4 (esEsOrdering EQ vx4)) LT)) (gtEsOrdering vx4 vx30)",fontsize=16,color="burlywood",shape="box"];156[label="vx4/LT",fontsize=10,color="white",style="solid",shape="box"];12 -> 156[label="",style="solid", color="burlywood", weight=9];
156 -> 17[label="",style="solid", color="burlywood", weight=3];
157[label="vx4/EQ",fontsize=10,color="white",style="solid",shape="box"];12 -> 157[label="",style="solid", color="burlywood", weight=9];
157 -> 18[label="",style="solid", color="burlywood", weight=3];
158[label="vx4/GT",fontsize=10,color="white",style="solid",shape="box"];12 -> 158[label="",style="solid", color="burlywood", weight=9];
158 -> 19[label="",style="solid", color="burlywood", weight=3];
13[label="asAs (not (esEsOrdering (compare2 GT vx4 (esEsOrdering GT vx4)) LT)) (gtEsOrdering vx4 vx30)",fontsize=16,color="burlywood",shape="box"];159[label="vx4/LT",fontsize=10,color="white",style="solid",shape="box"];13 -> 159[label="",style="solid", color="burlywood", weight=9];
159 -> 20[label="",style="solid", color="burlywood", weight=3];
160[label="vx4/EQ",fontsize=10,color="white",style="solid",shape="box"];13 -> 160[label="",style="solid", color="burlywood", weight=9];
160 -> 21[label="",style="solid", color="burlywood", weight=3];
161[label="vx4/GT",fontsize=10,color="white",style="solid",shape="box"];13 -> 161[label="",style="solid", color="burlywood", weight=9];
161 -> 22[label="",style="solid", color="burlywood", weight=3];
14[label="asAs (not (esEsOrdering (compare2 LT LT (esEsOrdering LT LT)) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];14 -> 23[label="",style="solid", color="black", weight=3];
15[label="asAs (not (esEsOrdering (compare2 LT EQ (esEsOrdering LT EQ)) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];15 -> 24[label="",style="solid", color="black", weight=3];
16[label="asAs (not (esEsOrdering (compare2 LT GT (esEsOrdering LT GT)) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];16 -> 25[label="",style="solid", color="black", weight=3];
17[label="asAs (not (esEsOrdering (compare2 EQ LT (esEsOrdering EQ LT)) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];17 -> 26[label="",style="solid", color="black", weight=3];
18[label="asAs (not (esEsOrdering (compare2 EQ EQ (esEsOrdering EQ EQ)) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];18 -> 27[label="",style="solid", color="black", weight=3];
19[label="asAs (not (esEsOrdering (compare2 EQ GT (esEsOrdering EQ GT)) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];19 -> 28[label="",style="solid", color="black", weight=3];
20[label="asAs (not (esEsOrdering (compare2 GT LT (esEsOrdering GT LT)) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];20 -> 29[label="",style="solid", color="black", weight=3];
21[label="asAs (not (esEsOrdering (compare2 GT EQ (esEsOrdering GT EQ)) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];21 -> 30[label="",style="solid", color="black", weight=3];
22[label="asAs (not (esEsOrdering (compare2 GT GT (esEsOrdering GT GT)) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];22 -> 31[label="",style="solid", color="black", weight=3];
23[label="asAs (not (esEsOrdering (compare2 LT LT MyTrue) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];23 -> 32[label="",style="solid", color="black", weight=3];
24[label="asAs (not (esEsOrdering (compare2 LT EQ MyFalse) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];24 -> 33[label="",style="solid", color="black", weight=3];
25[label="asAs (not (esEsOrdering (compare2 LT GT MyFalse) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];25 -> 34[label="",style="solid", color="black", weight=3];
26[label="asAs (not (esEsOrdering (compare2 EQ LT MyFalse) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];26 -> 35[label="",style="solid", color="black", weight=3];
27[label="asAs (not (esEsOrdering (compare2 EQ EQ MyTrue) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];27 -> 36[label="",style="solid", color="black", weight=3];
28[label="asAs (not (esEsOrdering (compare2 EQ GT MyFalse) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];28 -> 37[label="",style="solid", color="black", weight=3];
29[label="asAs (not (esEsOrdering (compare2 GT LT MyFalse) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];29 -> 38[label="",style="solid", color="black", weight=3];
30[label="asAs (not (esEsOrdering (compare2 GT EQ MyFalse) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];30 -> 39[label="",style="solid", color="black", weight=3];
31[label="asAs (not (esEsOrdering (compare2 GT GT MyTrue) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];31 -> 40[label="",style="solid", color="black", weight=3];
32[label="asAs (not (esEsOrdering EQ LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];32 -> 41[label="",style="solid", color="black", weight=3];
33[label="asAs (not (esEsOrdering (compare1 LT EQ (ltEsOrdering LT EQ)) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];33 -> 42[label="",style="solid", color="black", weight=3];
34[label="asAs (not (esEsOrdering (compare1 LT GT (ltEsOrdering LT GT)) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];34 -> 43[label="",style="solid", color="black", weight=3];
35[label="asAs (not (esEsOrdering (compare1 EQ LT (ltEsOrdering EQ LT)) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];35 -> 44[label="",style="solid", color="black", weight=3];
36[label="asAs (not (esEsOrdering EQ LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];36 -> 45[label="",style="solid", color="black", weight=3];
37[label="asAs (not (esEsOrdering (compare1 EQ GT (ltEsOrdering EQ GT)) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];37 -> 46[label="",style="solid", color="black", weight=3];
38[label="asAs (not (esEsOrdering (compare1 GT LT (ltEsOrdering GT LT)) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];38 -> 47[label="",style="solid", color="black", weight=3];
39[label="asAs (not (esEsOrdering (compare1 GT EQ (ltEsOrdering GT EQ)) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];39 -> 48[label="",style="solid", color="black", weight=3];
40[label="asAs (not (esEsOrdering EQ LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];40 -> 49[label="",style="solid", color="black", weight=3];
41[label="asAs (not MyFalse) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];41 -> 50[label="",style="solid", color="black", weight=3];
42[label="asAs (not (esEsOrdering (compare1 LT EQ MyTrue) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];42 -> 51[label="",style="solid", color="black", weight=3];
43[label="asAs (not (esEsOrdering (compare1 LT GT MyTrue) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];43 -> 52[label="",style="solid", color="black", weight=3];
44[label="asAs (not (esEsOrdering (compare1 EQ LT MyFalse) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];44 -> 53[label="",style="solid", color="black", weight=3];
45[label="asAs (not MyFalse) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];45 -> 54[label="",style="solid", color="black", weight=3];
46[label="asAs (not (esEsOrdering (compare1 EQ GT MyTrue) LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];46 -> 55[label="",style="solid", color="black", weight=3];
47[label="asAs (not (esEsOrdering (compare1 GT LT MyFalse) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];47 -> 56[label="",style="solid", color="black", weight=3];
48[label="asAs (not (esEsOrdering (compare1 GT EQ MyFalse) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];48 -> 57[label="",style="solid", color="black", weight=3];
49[label="asAs (not MyFalse) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];49 -> 58[label="",style="solid", color="black", weight=3];
50[label="asAs MyTrue (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];50 -> 59[label="",style="solid", color="black", weight=3];
51[label="asAs (not (esEsOrdering LT LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];51 -> 60[label="",style="solid", color="black", weight=3];
52[label="asAs (not (esEsOrdering LT LT)) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="triangle"];52 -> 61[label="",style="solid", color="black", weight=3];
53[label="asAs (not (esEsOrdering (compare0 EQ LT otherwise) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];53 -> 62[label="",style="solid", color="black", weight=3];
54[label="asAs MyTrue (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];54 -> 63[label="",style="solid", color="black", weight=3];
55 -> 52[label="",style="dashed", color="red", weight=0];
55[label="asAs (not (esEsOrdering LT LT)) (gtEsOrdering GT vx30)",fontsize=16,color="magenta"];56[label="asAs (not (esEsOrdering (compare0 GT LT otherwise) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="black",shape="box"];56 -> 64[label="",style="solid", color="black", weight=3];
57[label="asAs (not (esEsOrdering (compare0 GT EQ otherwise) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];57 -> 65[label="",style="solid", color="black", weight=3];
58[label="asAs MyTrue (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];58 -> 66[label="",style="solid", color="black", weight=3];
59[label="gtEsOrdering LT vx30",fontsize=16,color="black",shape="triangle"];59 -> 67[label="",style="solid", color="black", weight=3];
60[label="asAs (not MyTrue) (gtEsOrdering EQ vx30)",fontsize=16,color="black",shape="box"];60 -> 68[label="",style="solid", color="black", weight=3];
61[label="asAs (not MyTrue) (gtEsOrdering GT vx30)",fontsize=16,color="black",shape="box"];61 -> 69[label="",style="solid", color="black", weight=3];
62 -> 70[label="",style="dashed", color="red", weight=0];
62[label="asAs (not (esEsOrdering (compare0 EQ LT MyTrue) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="magenta"];62 -> 71[label="",style="dashed", color="magenta", weight=3];
63[label="gtEsOrdering EQ vx30",fontsize=16,color="black",shape="triangle"];63 -> 72[label="",style="solid", color="black", weight=3];
64 -> 73[label="",style="dashed", color="red", weight=0];
64[label="asAs (not (esEsOrdering (compare0 GT LT MyTrue) LT)) (gtEsOrdering LT vx30)",fontsize=16,color="magenta"];64 -> 74[label="",style="dashed", color="magenta", weight=3];
65 -> 75[label="",style="dashed", color="red", weight=0];
65[label="asAs (not (esEsOrdering (compare0 GT EQ MyTrue) LT)) (gtEsOrdering EQ vx30)",fontsize=16,color="magenta"];65 -> 76[label="",style="dashed", color="magenta", weight=3];
66[label="gtEsOrdering GT vx30",fontsize=16,color="black",shape="triangle"];66 -> 77[label="",style="solid", color="black", weight=3];
67[label="fsEsOrdering (compareOrdering LT vx30) LT",fontsize=16,color="black",shape="box"];67 -> 78[label="",style="solid", color="black", weight=3];
68 -> 79[label="",style="dashed", color="red", weight=0];
68[label="asAs MyFalse (gtEsOrdering EQ vx30)",fontsize=16,color="magenta"];68 -> 80[label="",style="dashed", color="magenta", weight=3];
69 -> 79[label="",style="dashed", color="red", weight=0];
69[label="asAs MyFalse (gtEsOrdering GT vx30)",fontsize=16,color="magenta"];69 -> 81[label="",style="dashed", color="magenta", weight=3];
71 -> 59[label="",style="dashed", color="red", weight=0];
71[label="gtEsOrdering LT vx30",fontsize=16,color="magenta"];70[label="asAs (not (esEsOrdering (compare0 EQ LT MyTrue) LT)) vx5",fontsize=16,color="black",shape="triangle"];70 -> 82[label="",style="solid", color="black", weight=3];
72[label="fsEsOrdering (compareOrdering EQ vx30) LT",fontsize=16,color="black",shape="box"];72 -> 83[label="",style="solid", color="black", weight=3];
74 -> 59[label="",style="dashed", color="red", weight=0];
74[label="gtEsOrdering LT vx30",fontsize=16,color="magenta"];73[label="asAs (not (esEsOrdering (compare0 GT LT MyTrue) LT)) vx6",fontsize=16,color="black",shape="triangle"];73 -> 84[label="",style="solid", color="black", weight=3];
76 -> 63[label="",style="dashed", color="red", weight=0];
76[label="gtEsOrdering EQ vx30",fontsize=16,color="magenta"];75[label="asAs (not (esEsOrdering (compare0 GT EQ MyTrue) LT)) vx7",fontsize=16,color="black",shape="triangle"];75 -> 85[label="",style="solid", color="black", weight=3];
77[label="fsEsOrdering (compareOrdering GT vx30) LT",fontsize=16,color="black",shape="box"];77 -> 86[label="",style="solid", color="black", weight=3];
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80 -> 63[label="",style="dashed", color="red", weight=0];
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81 -> 66[label="",style="dashed", color="red", weight=0];
81[label="gtEsOrdering GT vx30",fontsize=16,color="magenta"];82[label="asAs (not (esEsOrdering GT LT)) vx5",fontsize=16,color="black",shape="triangle"];82 -> 89[label="",style="solid", color="black", weight=3];
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84 -> 82[label="",style="dashed", color="red", weight=0];
84[label="asAs (not (esEsOrdering GT LT)) vx6",fontsize=16,color="magenta"];84 -> 91[label="",style="dashed", color="magenta", weight=3];
85 -> 82[label="",style="dashed", color="red", weight=0];
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86[label="not (esEsOrdering (compareOrdering GT vx30) LT)",fontsize=16,color="black",shape="box"];86 -> 93[label="",style="solid", color="black", weight=3];
87[label="not (esEsOrdering (compare3 LT vx30) LT)",fontsize=16,color="black",shape="box"];87 -> 94[label="",style="solid", color="black", weight=3];
88[label="MyFalse",fontsize=16,color="green",shape="box"];89[label="asAs (not MyFalse) vx5",fontsize=16,color="black",shape="box"];89 -> 95[label="",style="solid", color="black", weight=3];
90[label="not (esEsOrdering (compare3 EQ vx30) LT)",fontsize=16,color="black",shape="box"];90 -> 96[label="",style="solid", color="black", weight=3];
91[label="vx6",fontsize=16,color="green",shape="box"];92[label="vx7",fontsize=16,color="green",shape="box"];93[label="not (esEsOrdering (compare3 GT vx30) LT)",fontsize=16,color="black",shape="box"];93 -> 97[label="",style="solid", color="black", weight=3];
94[label="not (esEsOrdering (compare2 LT vx30 (esEsOrdering LT vx30)) LT)",fontsize=16,color="burlywood",shape="box"];162[label="vx30/LT",fontsize=10,color="white",style="solid",shape="box"];94 -> 162[label="",style="solid", color="burlywood", weight=9];
162 -> 98[label="",style="solid", color="burlywood", weight=3];
163[label="vx30/EQ",fontsize=10,color="white",style="solid",shape="box"];94 -> 163[label="",style="solid", color="burlywood", weight=9];
163 -> 99[label="",style="solid", color="burlywood", weight=3];
164[label="vx30/GT",fontsize=10,color="white",style="solid",shape="box"];94 -> 164[label="",style="solid", color="burlywood", weight=9];
164 -> 100[label="",style="solid", color="burlywood", weight=3];
95[label="asAs MyTrue vx5",fontsize=16,color="black",shape="box"];95 -> 101[label="",style="solid", color="black", weight=3];
96[label="not (esEsOrdering (compare2 EQ vx30 (esEsOrdering EQ vx30)) LT)",fontsize=16,color="burlywood",shape="box"];165[label="vx30/LT",fontsize=10,color="white",style="solid",shape="box"];96 -> 165[label="",style="solid", color="burlywood", weight=9];
165 -> 102[label="",style="solid", color="burlywood", weight=3];
166[label="vx30/EQ",fontsize=10,color="white",style="solid",shape="box"];96 -> 166[label="",style="solid", color="burlywood", weight=9];
166 -> 103[label="",style="solid", color="burlywood", weight=3];
167[label="vx30/GT",fontsize=10,color="white",style="solid",shape="box"];96 -> 167[label="",style="solid", color="burlywood", weight=9];
167 -> 104[label="",style="solid", color="burlywood", weight=3];
97[label="not (esEsOrdering (compare2 GT vx30 (esEsOrdering GT vx30)) LT)",fontsize=16,color="burlywood",shape="box"];168[label="vx30/LT",fontsize=10,color="white",style="solid",shape="box"];97 -> 168[label="",style="solid", color="burlywood", weight=9];
168 -> 105[label="",style="solid", color="burlywood", weight=3];
169[label="vx30/EQ",fontsize=10,color="white",style="solid",shape="box"];97 -> 169[label="",style="solid", color="burlywood", weight=9];
169 -> 106[label="",style="solid", color="burlywood", weight=3];
170[label="vx30/GT",fontsize=10,color="white",style="solid",shape="box"];97 -> 170[label="",style="solid", color="burlywood", weight=9];
170 -> 107[label="",style="solid", color="burlywood", weight=3];
98[label="not (esEsOrdering (compare2 LT LT (esEsOrdering LT LT)) LT)",fontsize=16,color="black",shape="box"];98 -> 108[label="",style="solid", color="black", weight=3];
99[label="not (esEsOrdering (compare2 LT EQ (esEsOrdering LT EQ)) LT)",fontsize=16,color="black",shape="box"];99 -> 109[label="",style="solid", color="black", weight=3];
100[label="not (esEsOrdering (compare2 LT GT (esEsOrdering LT GT)) LT)",fontsize=16,color="black",shape="box"];100 -> 110[label="",style="solid", color="black", weight=3];
101[label="vx5",fontsize=16,color="green",shape="box"];102[label="not (esEsOrdering (compare2 EQ LT (esEsOrdering EQ LT)) LT)",fontsize=16,color="black",shape="box"];102 -> 111[label="",style="solid", color="black", weight=3];
103[label="not (esEsOrdering (compare2 EQ EQ (esEsOrdering EQ EQ)) LT)",fontsize=16,color="black",shape="box"];103 -> 112[label="",style="solid", color="black", weight=3];
104[label="not (esEsOrdering (compare2 EQ GT (esEsOrdering EQ GT)) LT)",fontsize=16,color="black",shape="box"];104 -> 113[label="",style="solid", color="black", weight=3];
105[label="not (esEsOrdering (compare2 GT LT (esEsOrdering GT LT)) LT)",fontsize=16,color="black",shape="box"];105 -> 114[label="",style="solid", color="black", weight=3];
106[label="not (esEsOrdering (compare2 GT EQ (esEsOrdering GT EQ)) LT)",fontsize=16,color="black",shape="box"];106 -> 115[label="",style="solid", color="black", weight=3];
107[label="not (esEsOrdering (compare2 GT GT (esEsOrdering GT GT)) LT)",fontsize=16,color="black",shape="box"];107 -> 116[label="",style="solid", color="black", weight=3];
108[label="not (esEsOrdering (compare2 LT LT MyTrue) LT)",fontsize=16,color="black",shape="box"];108 -> 117[label="",style="solid", color="black", weight=3];
109[label="not (esEsOrdering (compare2 LT EQ MyFalse) LT)",fontsize=16,color="black",shape="box"];109 -> 118[label="",style="solid", color="black", weight=3];
110[label="not (esEsOrdering (compare2 LT GT MyFalse) LT)",fontsize=16,color="black",shape="box"];110 -> 119[label="",style="solid", color="black", weight=3];
111[label="not (esEsOrdering (compare2 EQ LT MyFalse) LT)",fontsize=16,color="black",shape="box"];111 -> 120[label="",style="solid", color="black", weight=3];
112[label="not (esEsOrdering (compare2 EQ EQ MyTrue) LT)",fontsize=16,color="black",shape="box"];112 -> 121[label="",style="solid", color="black", weight=3];
113[label="not (esEsOrdering (compare2 EQ GT MyFalse) LT)",fontsize=16,color="black",shape="box"];113 -> 122[label="",style="solid", color="black", weight=3];
114[label="not (esEsOrdering (compare2 GT LT MyFalse) LT)",fontsize=16,color="black",shape="box"];114 -> 123[label="",style="solid", color="black", weight=3];
115[label="not (esEsOrdering (compare2 GT EQ MyFalse) LT)",fontsize=16,color="black",shape="box"];115 -> 124[label="",style="solid", color="black", weight=3];
116[label="not (esEsOrdering (compare2 GT GT MyTrue) LT)",fontsize=16,color="black",shape="box"];116 -> 125[label="",style="solid", color="black", weight=3];
117[label="not (esEsOrdering EQ LT)",fontsize=16,color="black",shape="triangle"];117 -> 126[label="",style="solid", color="black", weight=3];
118[label="not (esEsOrdering (compare1 LT EQ (ltEsOrdering LT EQ)) LT)",fontsize=16,color="black",shape="box"];118 -> 127[label="",style="solid", color="black", weight=3];
119[label="not (esEsOrdering (compare1 LT GT (ltEsOrdering LT GT)) LT)",fontsize=16,color="black",shape="box"];119 -> 128[label="",style="solid", color="black", weight=3];
120[label="not (esEsOrdering (compare1 EQ LT (ltEsOrdering EQ LT)) LT)",fontsize=16,color="black",shape="box"];120 -> 129[label="",style="solid", color="black", weight=3];
121 -> 117[label="",style="dashed", color="red", weight=0];
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123[label="not (esEsOrdering (compare1 GT LT (ltEsOrdering GT LT)) LT)",fontsize=16,color="black",shape="box"];123 -> 131[label="",style="solid", color="black", weight=3];
124[label="not (esEsOrdering (compare1 GT EQ (ltEsOrdering GT EQ)) LT)",fontsize=16,color="black",shape="box"];124 -> 132[label="",style="solid", color="black", weight=3];
125 -> 117[label="",style="dashed", color="red", weight=0];
125[label="not (esEsOrdering EQ LT)",fontsize=16,color="magenta"];126[label="not MyFalse",fontsize=16,color="black",shape="triangle"];126 -> 133[label="",style="solid", color="black", weight=3];
127[label="not (esEsOrdering (compare1 LT EQ MyTrue) LT)",fontsize=16,color="black",shape="box"];127 -> 134[label="",style="solid", color="black", weight=3];
128[label="not (esEsOrdering (compare1 LT GT MyTrue) LT)",fontsize=16,color="black",shape="box"];128 -> 135[label="",style="solid", color="black", weight=3];
129[label="not (esEsOrdering (compare1 EQ LT MyFalse) LT)",fontsize=16,color="black",shape="box"];129 -> 136[label="",style="solid", color="black", weight=3];
130[label="not (esEsOrdering (compare1 EQ GT MyTrue) LT)",fontsize=16,color="black",shape="box"];130 -> 137[label="",style="solid", color="black", weight=3];
131[label="not (esEsOrdering (compare1 GT LT MyFalse) LT)",fontsize=16,color="black",shape="box"];131 -> 138[label="",style="solid", color="black", weight=3];
132[label="not (esEsOrdering (compare1 GT EQ MyFalse) LT)",fontsize=16,color="black",shape="box"];132 -> 139[label="",style="solid", color="black", weight=3];
133[label="MyTrue",fontsize=16,color="green",shape="box"];134[label="not (esEsOrdering LT LT)",fontsize=16,color="black",shape="triangle"];134 -> 140[label="",style="solid", color="black", weight=3];
135 -> 134[label="",style="dashed", color="red", weight=0];
135[label="not (esEsOrdering LT LT)",fontsize=16,color="magenta"];136[label="not (esEsOrdering (compare0 EQ LT otherwise) LT)",fontsize=16,color="black",shape="box"];136 -> 141[label="",style="solid", color="black", weight=3];
137 -> 134[label="",style="dashed", color="red", weight=0];
137[label="not (esEsOrdering LT LT)",fontsize=16,color="magenta"];138[label="not (esEsOrdering (compare0 GT LT otherwise) LT)",fontsize=16,color="black",shape="box"];138 -> 142[label="",style="solid", color="black", weight=3];
139[label="not (esEsOrdering (compare0 GT EQ otherwise) LT)",fontsize=16,color="black",shape="box"];139 -> 143[label="",style="solid", color="black", weight=3];
140[label="not MyTrue",fontsize=16,color="black",shape="box"];140 -> 144[label="",style="solid", color="black", weight=3];
141[label="not (esEsOrdering (compare0 EQ LT MyTrue) LT)",fontsize=16,color="black",shape="box"];141 -> 145[label="",style="solid", color="black", weight=3];
142[label="not (esEsOrdering (compare0 GT LT MyTrue) LT)",fontsize=16,color="black",shape="box"];142 -> 146[label="",style="solid", color="black", weight=3];
143[label="not (esEsOrdering (compare0 GT EQ MyTrue) LT)",fontsize=16,color="black",shape="box"];143 -> 147[label="",style="solid", color="black", weight=3];
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146 -> 145[label="",style="dashed", color="red", weight=0];
146[label="not (esEsOrdering GT LT)",fontsize=16,color="magenta"];147 -> 145[label="",style="dashed", color="red", weight=0];
147[label="not (esEsOrdering GT LT)",fontsize=16,color="magenta"];148 -> 126[label="",style="dashed", color="red", weight=0];
148[label="not MyFalse",fontsize=16,color="magenta"];}

----------------------------------------

(6)
YES