7.91/3.58 YES 9.69/4.14 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.69/4.14 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.69/4.14 9.69/4.14 9.69/4.14 H-Termination with start terms of the given HASKELL could be proven: 9.69/4.14 9.69/4.14 (0) HASKELL 9.69/4.14 (1) BR [EQUIVALENT, 0 ms] 9.69/4.14 (2) HASKELL 9.69/4.14 (3) COR [EQUIVALENT, 0 ms] 9.69/4.14 (4) HASKELL 9.69/4.14 (5) Narrow [EQUIVALENT, 30 ms] 9.69/4.14 (6) YES 9.69/4.14 9.69/4.14 9.69/4.14 ---------------------------------------- 9.69/4.14 9.69/4.14 (0) 9.69/4.14 Obligation: 9.69/4.14 mainModule Main 9.69/4.14 module Main where { 9.69/4.14 import qualified Prelude; 9.69/4.14 data MyBool = MyTrue | MyFalse ; 9.69/4.14 9.69/4.14 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.69/4.14 9.69/4.14 data Main.Nat = Succ Main.Nat | Zero ; 9.69/4.14 9.69/4.14 data Ordering = LT | EQ | GT ; 9.69/4.14 9.69/4.14 absMyInt :: MyInt -> MyInt; 9.69/4.14 absMyInt = absReal; 9.69/4.14 9.69/4.14 absReal x = absReal2 x; 9.69/4.14 9.69/4.14 absReal0 x MyTrue = negateMyInt x; 9.69/4.14 9.69/4.14 absReal1 x MyTrue = x; 9.69/4.14 absReal1 x MyFalse = absReal0 x otherwise; 9.69/4.14 9.69/4.14 absReal2 x = absReal1 x (gtEsMyInt x (fromIntMyInt (Main.Pos Main.Zero))); 9.69/4.14 9.69/4.14 compareMyInt :: MyInt -> MyInt -> Ordering; 9.69/4.14 compareMyInt = primCmpInt; 9.69/4.14 9.69/4.14 esEsOrdering :: Ordering -> Ordering -> MyBool; 9.69/4.14 esEsOrdering LT LT = MyTrue; 9.69/4.14 esEsOrdering LT EQ = MyFalse; 9.69/4.14 esEsOrdering LT GT = MyFalse; 9.69/4.14 esEsOrdering EQ LT = MyFalse; 9.69/4.14 esEsOrdering EQ EQ = MyTrue; 9.69/4.14 esEsOrdering EQ GT = MyFalse; 9.69/4.14 esEsOrdering GT LT = MyFalse; 9.69/4.14 esEsOrdering GT EQ = MyFalse; 9.69/4.14 esEsOrdering GT GT = MyTrue; 9.69/4.14 9.69/4.14 fromIntMyInt :: MyInt -> MyInt; 9.69/4.14 fromIntMyInt x = x; 9.69/4.14 9.69/4.14 fsEsOrdering :: Ordering -> Ordering -> MyBool; 9.69/4.14 fsEsOrdering x y = not (esEsOrdering x y); 9.69/4.14 9.69/4.14 gtEsMyInt :: MyInt -> MyInt -> MyBool; 9.69/4.14 gtEsMyInt x y = fsEsOrdering (compareMyInt x y) LT; 9.69/4.14 9.69/4.14 negateMyInt :: MyInt -> MyInt; 9.69/4.14 negateMyInt = primNegInt; 9.69/4.14 9.69/4.14 not :: MyBool -> MyBool; 9.69/4.14 not MyTrue = MyFalse; 9.69/4.14 not MyFalse = MyTrue; 9.69/4.14 9.69/4.14 otherwise :: MyBool; 9.69/4.14 otherwise = MyTrue; 9.69/4.14 9.69/4.14 primCmpInt :: MyInt -> MyInt -> Ordering; 9.69/4.14 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 9.69/4.14 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 9.69/4.14 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 9.69/4.14 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 9.69/4.14 9.69/4.14 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 9.69/4.14 primCmpNat Main.Zero Main.Zero = EQ; 9.69/4.14 primCmpNat Main.Zero (Main.Succ y) = LT; 9.69/4.14 primCmpNat (Main.Succ x) Main.Zero = GT; 9.69/4.14 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 9.69/4.14 9.69/4.14 primNegInt :: MyInt -> MyInt; 9.69/4.14 primNegInt (Main.Pos x) = Main.Neg x; 9.69/4.14 primNegInt (Main.Neg x) = Main.Pos x; 9.69/4.14 9.69/4.14 } 9.69/4.14 9.69/4.14 ---------------------------------------- 9.69/4.14 9.69/4.14 (1) BR (EQUIVALENT) 9.69/4.14 Replaced joker patterns by fresh variables and removed binding patterns. 9.69/4.14 ---------------------------------------- 9.69/4.14 9.69/4.14 (2) 9.69/4.14 Obligation: 9.69/4.14 mainModule Main 9.69/4.14 module Main where { 9.69/4.14 import qualified Prelude; 9.69/4.14 data MyBool = MyTrue | MyFalse ; 9.69/4.14 9.69/4.14 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.69/4.14 9.69/4.14 data Main.Nat = Succ Main.Nat | Zero ; 9.69/4.14 9.69/4.14 data Ordering = LT | EQ | GT ; 9.69/4.14 9.69/4.14 absMyInt :: MyInt -> MyInt; 9.69/4.14 absMyInt = absReal; 9.69/4.14 9.69/4.14 absReal x = absReal2 x; 9.69/4.14 9.69/4.14 absReal0 x MyTrue = negateMyInt x; 9.69/4.14 9.69/4.14 absReal1 x MyTrue = x; 9.69/4.14 absReal1 x MyFalse = absReal0 x otherwise; 9.69/4.14 9.69/4.14 absReal2 x = absReal1 x (gtEsMyInt x (fromIntMyInt (Main.Pos Main.Zero))); 9.69/4.14 9.69/4.14 compareMyInt :: MyInt -> MyInt -> Ordering; 9.69/4.14 compareMyInt = primCmpInt; 9.69/4.14 9.69/4.14 esEsOrdering :: Ordering -> Ordering -> MyBool; 9.69/4.14 esEsOrdering LT LT = MyTrue; 9.69/4.14 esEsOrdering LT EQ = MyFalse; 9.69/4.14 esEsOrdering LT GT = MyFalse; 9.69/4.14 esEsOrdering EQ LT = MyFalse; 9.69/4.14 esEsOrdering EQ EQ = MyTrue; 9.69/4.14 esEsOrdering EQ GT = MyFalse; 9.69/4.14 esEsOrdering GT LT = MyFalse; 9.69/4.14 esEsOrdering GT EQ = MyFalse; 9.69/4.14 esEsOrdering GT GT = MyTrue; 9.69/4.14 9.69/4.14 fromIntMyInt :: MyInt -> MyInt; 9.69/4.14 fromIntMyInt x = x; 9.69/4.14 9.69/4.14 fsEsOrdering :: Ordering -> Ordering -> MyBool; 9.69/4.14 fsEsOrdering x y = not (esEsOrdering x y); 9.69/4.14 9.69/4.14 gtEsMyInt :: MyInt -> MyInt -> MyBool; 9.69/4.14 gtEsMyInt x y = fsEsOrdering (compareMyInt x y) LT; 9.69/4.14 9.69/4.14 negateMyInt :: MyInt -> MyInt; 9.69/4.14 negateMyInt = primNegInt; 9.69/4.14 9.69/4.14 not :: MyBool -> MyBool; 9.69/4.14 not MyTrue = MyFalse; 9.69/4.14 not MyFalse = MyTrue; 9.69/4.14 9.69/4.14 otherwise :: MyBool; 9.69/4.14 otherwise = MyTrue; 9.69/4.14 9.69/4.14 primCmpInt :: MyInt -> MyInt -> Ordering; 9.69/4.14 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 9.69/4.14 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 9.69/4.14 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 9.69/4.14 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 9.69/4.14 9.69/4.14 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 9.69/4.14 primCmpNat Main.Zero Main.Zero = EQ; 9.69/4.14 primCmpNat Main.Zero (Main.Succ y) = LT; 9.69/4.14 primCmpNat (Main.Succ x) Main.Zero = GT; 9.69/4.14 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 9.69/4.14 9.69/4.14 primNegInt :: MyInt -> MyInt; 9.69/4.14 primNegInt (Main.Pos x) = Main.Neg x; 9.69/4.14 primNegInt (Main.Neg x) = Main.Pos x; 9.69/4.14 9.69/4.14 } 9.69/4.14 9.69/4.14 ---------------------------------------- 9.69/4.14 9.69/4.14 (3) COR (EQUIVALENT) 9.69/4.14 Cond Reductions: 9.69/4.14 The following Function with conditions 9.69/4.14 "undefined |Falseundefined; 9.69/4.14 " 9.69/4.14 is transformed to 9.69/4.14 "undefined = undefined1; 9.69/4.14 " 9.69/4.14 "undefined0 True = undefined; 9.69/4.14 " 9.69/4.14 "undefined1 = undefined0 False; 9.69/4.14 " 9.69/4.14 9.69/4.14 ---------------------------------------- 9.69/4.14 9.69/4.14 (4) 9.69/4.14 Obligation: 9.69/4.14 mainModule Main 9.69/4.14 module Main where { 9.69/4.14 import qualified Prelude; 9.69/4.14 data MyBool = MyTrue | MyFalse ; 9.69/4.14 9.69/4.14 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.69/4.14 9.69/4.14 data Main.Nat = Succ Main.Nat | Zero ; 9.69/4.14 9.69/4.14 data Ordering = LT | EQ | GT ; 9.69/4.14 9.69/4.14 absMyInt :: MyInt -> MyInt; 9.69/4.14 absMyInt = absReal; 9.69/4.14 9.69/4.14 absReal x = absReal2 x; 9.69/4.14 9.69/4.14 absReal0 x MyTrue = negateMyInt x; 9.69/4.14 9.69/4.14 absReal1 x MyTrue = x; 9.69/4.14 absReal1 x MyFalse = absReal0 x otherwise; 9.69/4.14 9.69/4.14 absReal2 x = absReal1 x (gtEsMyInt x (fromIntMyInt (Main.Pos Main.Zero))); 9.69/4.14 9.69/4.14 compareMyInt :: MyInt -> MyInt -> Ordering; 9.69/4.14 compareMyInt = primCmpInt; 9.69/4.14 9.69/4.14 esEsOrdering :: Ordering -> Ordering -> MyBool; 9.69/4.14 esEsOrdering LT LT = MyTrue; 9.69/4.14 esEsOrdering LT EQ = MyFalse; 9.69/4.14 esEsOrdering LT GT = MyFalse; 9.69/4.14 esEsOrdering EQ LT = MyFalse; 9.69/4.14 esEsOrdering EQ EQ = MyTrue; 9.69/4.14 esEsOrdering EQ GT = MyFalse; 9.69/4.14 esEsOrdering GT LT = MyFalse; 9.69/4.14 esEsOrdering GT EQ = MyFalse; 9.69/4.14 esEsOrdering GT GT = MyTrue; 9.69/4.14 9.69/4.14 fromIntMyInt :: MyInt -> MyInt; 9.69/4.14 fromIntMyInt x = x; 9.69/4.14 9.69/4.14 fsEsOrdering :: Ordering -> Ordering -> MyBool; 9.69/4.14 fsEsOrdering x y = not (esEsOrdering x y); 9.69/4.14 9.69/4.14 gtEsMyInt :: MyInt -> MyInt -> MyBool; 9.69/4.14 gtEsMyInt x y = fsEsOrdering (compareMyInt x y) LT; 9.69/4.14 9.69/4.14 negateMyInt :: MyInt -> MyInt; 9.69/4.14 negateMyInt = primNegInt; 9.69/4.14 9.69/4.14 not :: MyBool -> MyBool; 9.69/4.14 not MyTrue = MyFalse; 9.69/4.14 not MyFalse = MyTrue; 9.69/4.14 9.69/4.14 otherwise :: MyBool; 9.69/4.14 otherwise = MyTrue; 9.69/4.14 9.69/4.14 primCmpInt :: MyInt -> MyInt -> Ordering; 9.69/4.14 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 9.69/4.14 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 9.69/4.14 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 9.69/4.14 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 9.69/4.14 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 9.69/4.14 9.69/4.14 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 9.69/4.14 primCmpNat Main.Zero Main.Zero = EQ; 9.69/4.14 primCmpNat Main.Zero (Main.Succ y) = LT; 9.69/4.14 primCmpNat (Main.Succ x) Main.Zero = GT; 9.69/4.14 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 9.69/4.14 9.69/4.14 primNegInt :: MyInt -> MyInt; 9.69/4.14 primNegInt (Main.Pos x) = Main.Neg x; 9.69/4.14 primNegInt (Main.Neg x) = Main.Pos x; 9.69/4.14 9.69/4.14 } 9.69/4.14 9.69/4.14 ---------------------------------------- 9.69/4.14 9.69/4.14 (5) Narrow (EQUIVALENT) 9.69/4.14 Haskell To QDPs 9.69/4.14 9.69/4.14 digraph dp_graph { 9.69/4.14 node [outthreshold=100, inthreshold=100];1[label="absMyInt",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.69/4.14 3[label="absMyInt vx3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.69/4.14 4[label="absReal vx3",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.69/4.14 5[label="absReal2 vx3",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 9.69/4.14 6[label="absReal1 vx3 (gtEsMyInt vx3 (fromIntMyInt (Pos Zero)))",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 9.69/4.14 7[label="absReal1 vx3 (fsEsOrdering (compareMyInt vx3 (fromIntMyInt (Pos Zero))) LT)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 9.69/4.14 8[label="absReal1 vx3 (not (esEsOrdering (compareMyInt vx3 (fromIntMyInt (Pos Zero))) LT))",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9.69/4.14 9[label="absReal1 vx3 (not (esEsOrdering (primCmpInt vx3 (fromIntMyInt (Pos Zero))) LT))",fontsize=16,color="burlywood",shape="box"];41[label="vx3/Pos vx30",fontsize=10,color="white",style="solid",shape="box"];9 -> 41[label="",style="solid", color="burlywood", weight=9]; 9.69/4.14 41 -> 10[label="",style="solid", color="burlywood", weight=3]; 9.69/4.14 42[label="vx3/Neg vx30",fontsize=10,color="white",style="solid",shape="box"];9 -> 42[label="",style="solid", color="burlywood", weight=9]; 9.69/4.14 42 -> 11[label="",style="solid", color="burlywood", weight=3]; 9.69/4.14 10[label="absReal1 (Pos vx30) (not (esEsOrdering (primCmpInt (Pos vx30) (fromIntMyInt (Pos Zero))) LT))",fontsize=16,color="burlywood",shape="box"];43[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];10 -> 43[label="",style="solid", color="burlywood", weight=9]; 9.69/4.14 43 -> 12[label="",style="solid", color="burlywood", weight=3]; 9.69/4.14 44[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];10 -> 44[label="",style="solid", color="burlywood", weight=9]; 9.69/4.14 44 -> 13[label="",style="solid", color="burlywood", weight=3]; 9.69/4.14 11[label="absReal1 (Neg vx30) (not (esEsOrdering (primCmpInt (Neg vx30) (fromIntMyInt (Pos Zero))) LT))",fontsize=16,color="burlywood",shape="box"];45[label="vx30/Succ vx300",fontsize=10,color="white",style="solid",shape="box"];11 -> 45[label="",style="solid", color="burlywood", weight=9]; 9.69/4.14 45 -> 14[label="",style="solid", color="burlywood", weight=3]; 9.69/4.14 46[label="vx30/Zero",fontsize=10,color="white",style="solid",shape="box"];11 -> 46[label="",style="solid", color="burlywood", weight=9]; 9.69/4.14 46 -> 15[label="",style="solid", color="burlywood", weight=3]; 9.69/4.14 12[label="absReal1 (Pos (Succ vx300)) (not (esEsOrdering (primCmpInt (Pos (Succ vx300)) (fromIntMyInt (Pos Zero))) LT))",fontsize=16,color="black",shape="box"];12 -> 16[label="",style="solid", color="black", weight=3]; 9.69/4.14 13[label="absReal1 (Pos Zero) (not (esEsOrdering (primCmpInt (Pos Zero) (fromIntMyInt (Pos Zero))) LT))",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3]; 9.69/4.14 14[label="absReal1 (Neg (Succ vx300)) (not (esEsOrdering (primCmpInt (Neg (Succ vx300)) (fromIntMyInt (Pos Zero))) LT))",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3]; 9.69/4.14 15[label="absReal1 (Neg Zero) (not (esEsOrdering (primCmpInt (Neg Zero) (fromIntMyInt (Pos Zero))) LT))",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3]; 9.69/4.14 16[label="absReal1 (Pos (Succ vx300)) (not (esEsOrdering (primCmpInt (Pos (Succ vx300)) (Pos Zero)) LT))",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3]; 9.69/4.14 17[label="absReal1 (Pos Zero) (not (esEsOrdering (primCmpInt (Pos Zero) (Pos Zero)) LT))",fontsize=16,color="black",shape="box"];17 -> 21[label="",style="solid", color="black", weight=3]; 9.69/4.14 18[label="absReal1 (Neg (Succ vx300)) (not (esEsOrdering (primCmpInt (Neg (Succ vx300)) (Pos Zero)) LT))",fontsize=16,color="black",shape="box"];18 -> 22[label="",style="solid", color="black", weight=3]; 9.69/4.14 19[label="absReal1 (Neg Zero) (not (esEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) LT))",fontsize=16,color="black",shape="box"];19 -> 23[label="",style="solid", color="black", weight=3]; 9.69/4.14 20[label="absReal1 (Pos (Succ vx300)) (not (esEsOrdering (primCmpNat (Succ vx300) Zero) LT))",fontsize=16,color="black",shape="box"];20 -> 24[label="",style="solid", color="black", weight=3]; 9.69/4.14 21[label="absReal1 (Pos Zero) (not (esEsOrdering EQ LT))",fontsize=16,color="black",shape="box"];21 -> 25[label="",style="solid", color="black", weight=3]; 9.69/4.14 22[label="absReal1 (Neg (Succ vx300)) (not (esEsOrdering LT LT))",fontsize=16,color="black",shape="box"];22 -> 26[label="",style="solid", color="black", weight=3]; 9.69/4.14 23[label="absReal1 (Neg Zero) (not (esEsOrdering EQ LT))",fontsize=16,color="black",shape="box"];23 -> 27[label="",style="solid", color="black", weight=3]; 9.69/4.14 24[label="absReal1 (Pos (Succ vx300)) (not (esEsOrdering GT LT))",fontsize=16,color="black",shape="box"];24 -> 28[label="",style="solid", color="black", weight=3]; 9.69/4.14 25[label="absReal1 (Pos Zero) (not MyFalse)",fontsize=16,color="black",shape="box"];25 -> 29[label="",style="solid", color="black", weight=3]; 9.69/4.14 26[label="absReal1 (Neg (Succ vx300)) (not MyTrue)",fontsize=16,color="black",shape="box"];26 -> 30[label="",style="solid", color="black", weight=3]; 9.69/4.14 27[label="absReal1 (Neg Zero) (not MyFalse)",fontsize=16,color="black",shape="box"];27 -> 31[label="",style="solid", color="black", weight=3]; 9.69/4.14 28[label="absReal1 (Pos (Succ vx300)) (not MyFalse)",fontsize=16,color="black",shape="box"];28 -> 32[label="",style="solid", color="black", weight=3]; 9.69/4.14 29[label="absReal1 (Pos Zero) MyTrue",fontsize=16,color="black",shape="box"];29 -> 33[label="",style="solid", color="black", weight=3]; 9.69/4.14 30[label="absReal1 (Neg (Succ vx300)) MyFalse",fontsize=16,color="black",shape="box"];30 -> 34[label="",style="solid", color="black", weight=3]; 9.69/4.14 31[label="absReal1 (Neg Zero) MyTrue",fontsize=16,color="black",shape="box"];31 -> 35[label="",style="solid", color="black", weight=3]; 9.69/4.14 32[label="absReal1 (Pos (Succ vx300)) MyTrue",fontsize=16,color="black",shape="box"];32 -> 36[label="",style="solid", color="black", weight=3]; 9.69/4.14 33[label="Pos Zero",fontsize=16,color="green",shape="box"];34[label="absReal0 (Neg (Succ vx300)) otherwise",fontsize=16,color="black",shape="box"];34 -> 37[label="",style="solid", color="black", weight=3]; 9.69/4.14 35[label="Neg Zero",fontsize=16,color="green",shape="box"];36[label="Pos (Succ vx300)",fontsize=16,color="green",shape="box"];37[label="absReal0 (Neg (Succ vx300)) MyTrue",fontsize=16,color="black",shape="box"];37 -> 38[label="",style="solid", color="black", weight=3]; 9.69/4.14 38[label="negateMyInt (Neg (Succ vx300))",fontsize=16,color="black",shape="box"];38 -> 39[label="",style="solid", color="black", weight=3]; 9.69/4.14 39[label="primNegInt (Neg (Succ vx300))",fontsize=16,color="black",shape="box"];39 -> 40[label="",style="solid", color="black", weight=3]; 9.69/4.14 40[label="Pos (Succ vx300)",fontsize=16,color="green",shape="box"];} 9.69/4.14 9.69/4.14 ---------------------------------------- 9.69/4.14 9.69/4.14 (6) 9.69/4.14 YES 10.03/4.17 EOF