7.93/3.59 YES 9.86/4.13 proof of /export/starexec/sandbox2/benchmark/theBenchmark.hs 9.86/4.13 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.86/4.13 9.86/4.13 9.86/4.13 H-Termination with start terms of the given HASKELL could be proven: 9.86/4.13 9.86/4.13 (0) HASKELL 9.86/4.13 (1) BR [EQUIVALENT, 0 ms] 9.86/4.13 (2) HASKELL 9.86/4.13 (3) COR [EQUIVALENT, 0 ms] 9.86/4.13 (4) HASKELL 9.86/4.13 (5) Narrow [EQUIVALENT, 23 ms] 9.86/4.13 (6) YES 9.86/4.13 9.86/4.13 9.86/4.13 ---------------------------------------- 9.86/4.13 9.86/4.13 (0) 9.86/4.13 Obligation: 9.86/4.13 mainModule Main 9.86/4.13 module Main where { 9.86/4.13 import qualified Prelude; 9.86/4.13 data MyBool = MyTrue | MyFalse ; 9.86/4.13 9.86/4.13 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.86/4.13 9.86/4.13 data Main.Nat = Succ Main.Nat | Zero ; 9.86/4.13 9.86/4.13 esEsMyInt :: MyInt -> MyInt -> MyBool; 9.86/4.13 esEsMyInt = primEqInt; 9.86/4.13 9.86/4.13 flip :: (a -> b -> c) -> b -> a -> c; 9.86/4.13 flip f x y = f y x; 9.86/4.13 9.86/4.13 fromEnumMyBool :: MyBool -> MyInt; 9.86/4.13 fromEnumMyBool MyFalse = Main.Pos Main.Zero; 9.86/4.13 fromEnumMyBool MyTrue = Main.Pos (Main.Succ Main.Zero); 9.86/4.13 9.86/4.13 msMyInt :: MyInt -> MyInt -> MyInt; 9.86/4.13 msMyInt = primMinusInt; 9.86/4.13 9.86/4.13 predMyBool :: MyBool -> MyBool; 9.86/4.13 predMyBool = pt toEnumMyBool (pt (subtractMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumMyBool); 9.86/4.13 9.86/4.13 primEqInt :: MyInt -> MyInt -> MyBool; 9.86/4.13 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 9.86/4.13 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 9.86/4.13 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.86/4.13 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.86/4.13 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.86/4.13 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.86/4.13 primEqInt vv vw = MyFalse; 9.86/4.13 9.86/4.13 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 9.86/4.13 primEqNat Main.Zero Main.Zero = MyTrue; 9.86/4.13 primEqNat Main.Zero (Main.Succ y) = MyFalse; 9.86/4.13 primEqNat (Main.Succ x) Main.Zero = MyFalse; 9.86/4.13 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 9.86/4.13 9.86/4.13 primMinusInt :: MyInt -> MyInt -> MyInt; 9.86/4.13 primMinusInt (Main.Pos x) (Main.Neg y) = Main.Pos (primPlusNat x y); 9.86/4.13 primMinusInt (Main.Neg x) (Main.Pos y) = Main.Neg (primPlusNat x y); 9.86/4.13 primMinusInt (Main.Neg x) (Main.Neg y) = primMinusNat y x; 9.86/4.13 primMinusInt (Main.Pos x) (Main.Pos y) = primMinusNat x y; 9.86/4.13 9.86/4.13 primMinusNat :: Main.Nat -> Main.Nat -> MyInt; 9.86/4.13 primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero; 9.86/4.13 primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y); 9.86/4.13 primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x); 9.86/4.13 primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y; 9.86/4.13 9.86/4.13 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.86/4.13 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.86/4.13 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.86/4.13 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 9.86/4.13 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 9.86/4.13 9.86/4.13 pt :: (a -> c) -> (b -> a) -> b -> c; 9.86/4.13 pt f g x = f (g x); 9.86/4.13 9.86/4.13 subtractMyInt :: MyInt -> MyInt -> MyInt; 9.86/4.13 subtractMyInt = flip msMyInt; 9.86/4.13 9.86/4.13 toEnum0 MyTrue vx = MyTrue; 9.86/4.13 9.86/4.13 toEnum1 vx = toEnum0 (esEsMyInt vx (Main.Pos (Main.Succ Main.Zero))) vx; 9.86/4.13 9.86/4.13 toEnum2 MyTrue vy = MyFalse; 9.86/4.13 toEnum2 vz wu = toEnum1 wu; 9.86/4.13 9.86/4.13 toEnum3 vy = toEnum2 (esEsMyInt vy (Main.Pos Main.Zero)) vy; 9.86/4.13 toEnum3 wv = toEnum1 wv; 9.86/4.13 9.86/4.13 toEnumMyBool :: MyInt -> MyBool; 9.86/4.13 toEnumMyBool vy = toEnum3 vy; 9.86/4.13 toEnumMyBool vx = toEnum1 vx; 9.86/4.13 9.86/4.13 } 9.86/4.13 9.86/4.13 ---------------------------------------- 9.86/4.13 9.86/4.13 (1) BR (EQUIVALENT) 9.86/4.13 Replaced joker patterns by fresh variables and removed binding patterns. 9.86/4.13 ---------------------------------------- 9.86/4.13 9.86/4.13 (2) 9.86/4.13 Obligation: 9.86/4.13 mainModule Main 9.86/4.13 module Main where { 9.86/4.13 import qualified Prelude; 9.86/4.13 data MyBool = MyTrue | MyFalse ; 9.86/4.13 9.86/4.13 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.86/4.13 9.86/4.13 data Main.Nat = Succ Main.Nat | Zero ; 9.86/4.13 9.86/4.13 esEsMyInt :: MyInt -> MyInt -> MyBool; 9.86/4.13 esEsMyInt = primEqInt; 9.86/4.13 9.86/4.13 flip :: (a -> b -> c) -> b -> a -> c; 9.86/4.13 flip f x y = f y x; 9.86/4.13 9.86/4.13 fromEnumMyBool :: MyBool -> MyInt; 9.86/4.13 fromEnumMyBool MyFalse = Main.Pos Main.Zero; 9.86/4.13 fromEnumMyBool MyTrue = Main.Pos (Main.Succ Main.Zero); 9.86/4.13 9.86/4.13 msMyInt :: MyInt -> MyInt -> MyInt; 9.86/4.13 msMyInt = primMinusInt; 9.86/4.13 9.86/4.13 predMyBool :: MyBool -> MyBool; 9.86/4.13 predMyBool = pt toEnumMyBool (pt (subtractMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumMyBool); 9.86/4.13 9.86/4.13 primEqInt :: MyInt -> MyInt -> MyBool; 9.86/4.13 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 9.86/4.13 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 9.86/4.13 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.86/4.13 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.86/4.13 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.86/4.13 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.86/4.13 primEqInt vv vw = MyFalse; 9.86/4.13 9.86/4.13 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 9.86/4.13 primEqNat Main.Zero Main.Zero = MyTrue; 9.86/4.13 primEqNat Main.Zero (Main.Succ y) = MyFalse; 9.86/4.13 primEqNat (Main.Succ x) Main.Zero = MyFalse; 9.86/4.13 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 9.86/4.13 9.86/4.13 primMinusInt :: MyInt -> MyInt -> MyInt; 9.86/4.13 primMinusInt (Main.Pos x) (Main.Neg y) = Main.Pos (primPlusNat x y); 9.86/4.13 primMinusInt (Main.Neg x) (Main.Pos y) = Main.Neg (primPlusNat x y); 9.86/4.13 primMinusInt (Main.Neg x) (Main.Neg y) = primMinusNat y x; 9.86/4.13 primMinusInt (Main.Pos x) (Main.Pos y) = primMinusNat x y; 9.86/4.13 9.86/4.13 primMinusNat :: Main.Nat -> Main.Nat -> MyInt; 9.86/4.13 primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero; 9.86/4.13 primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y); 9.86/4.13 primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x); 9.86/4.13 primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y; 9.86/4.13 9.86/4.13 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.86/4.13 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.86/4.13 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.86/4.13 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 9.86/4.13 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 9.86/4.13 9.86/4.13 pt :: (c -> b) -> (a -> c) -> a -> b; 9.86/4.13 pt f g x = f (g x); 9.86/4.13 9.86/4.13 subtractMyInt :: MyInt -> MyInt -> MyInt; 9.86/4.13 subtractMyInt = flip msMyInt; 9.86/4.13 9.86/4.13 toEnum0 MyTrue vx = MyTrue; 9.86/4.13 9.86/4.13 toEnum1 vx = toEnum0 (esEsMyInt vx (Main.Pos (Main.Succ Main.Zero))) vx; 9.86/4.13 9.86/4.13 toEnum2 MyTrue vy = MyFalse; 9.86/4.13 toEnum2 vz wu = toEnum1 wu; 9.86/4.13 9.86/4.13 toEnum3 vy = toEnum2 (esEsMyInt vy (Main.Pos Main.Zero)) vy; 9.86/4.13 toEnum3 wv = toEnum1 wv; 9.86/4.13 9.86/4.13 toEnumMyBool :: MyInt -> MyBool; 9.86/4.13 toEnumMyBool vy = toEnum3 vy; 9.86/4.13 toEnumMyBool vx = toEnum1 vx; 9.86/4.13 9.86/4.13 } 9.86/4.13 9.86/4.13 ---------------------------------------- 9.86/4.13 9.86/4.13 (3) COR (EQUIVALENT) 9.86/4.13 Cond Reductions: 9.86/4.13 The following Function with conditions 9.86/4.13 "undefined |Falseundefined; 9.86/4.13 " 9.86/4.13 is transformed to 9.86/4.13 "undefined = undefined1; 9.86/4.13 " 9.86/4.13 "undefined0 True = undefined; 9.86/4.13 " 9.86/4.13 "undefined1 = undefined0 False; 9.86/4.13 " 9.86/4.13 9.86/4.13 ---------------------------------------- 9.86/4.13 9.86/4.13 (4) 9.86/4.13 Obligation: 9.86/4.13 mainModule Main 9.86/4.13 module Main where { 9.86/4.13 import qualified Prelude; 9.86/4.13 data MyBool = MyTrue | MyFalse ; 9.86/4.13 9.86/4.13 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.86/4.13 9.86/4.13 data Main.Nat = Succ Main.Nat | Zero ; 9.86/4.13 9.86/4.13 esEsMyInt :: MyInt -> MyInt -> MyBool; 9.86/4.13 esEsMyInt = primEqInt; 9.86/4.13 9.86/4.13 flip :: (a -> b -> c) -> b -> a -> c; 9.86/4.13 flip f x y = f y x; 9.86/4.13 9.86/4.13 fromEnumMyBool :: MyBool -> MyInt; 9.86/4.13 fromEnumMyBool MyFalse = Main.Pos Main.Zero; 9.86/4.13 fromEnumMyBool MyTrue = Main.Pos (Main.Succ Main.Zero); 9.86/4.13 9.86/4.13 msMyInt :: MyInt -> MyInt -> MyInt; 9.86/4.13 msMyInt = primMinusInt; 9.86/4.13 9.86/4.13 predMyBool :: MyBool -> MyBool; 9.86/4.13 predMyBool = pt toEnumMyBool (pt (subtractMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumMyBool); 9.86/4.13 9.86/4.13 primEqInt :: MyInt -> MyInt -> MyBool; 9.86/4.13 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 9.86/4.13 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 9.86/4.13 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.86/4.13 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.86/4.13 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.86/4.13 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.86/4.13 primEqInt vv vw = MyFalse; 9.86/4.13 9.86/4.13 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 9.86/4.13 primEqNat Main.Zero Main.Zero = MyTrue; 9.86/4.13 primEqNat Main.Zero (Main.Succ y) = MyFalse; 9.86/4.13 primEqNat (Main.Succ x) Main.Zero = MyFalse; 9.86/4.13 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 9.86/4.13 9.86/4.13 primMinusInt :: MyInt -> MyInt -> MyInt; 9.86/4.13 primMinusInt (Main.Pos x) (Main.Neg y) = Main.Pos (primPlusNat x y); 9.86/4.13 primMinusInt (Main.Neg x) (Main.Pos y) = Main.Neg (primPlusNat x y); 9.86/4.13 primMinusInt (Main.Neg x) (Main.Neg y) = primMinusNat y x; 9.86/4.13 primMinusInt (Main.Pos x) (Main.Pos y) = primMinusNat x y; 9.86/4.13 9.86/4.13 primMinusNat :: Main.Nat -> Main.Nat -> MyInt; 9.86/4.13 primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero; 9.86/4.13 primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y); 9.86/4.13 primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x); 9.86/4.13 primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y; 9.86/4.13 9.86/4.13 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.86/4.13 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.86/4.13 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.86/4.13 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 9.86/4.13 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 9.86/4.13 9.86/4.13 pt :: (a -> b) -> (c -> a) -> c -> b; 9.86/4.13 pt f g x = f (g x); 9.86/4.13 9.86/4.13 subtractMyInt :: MyInt -> MyInt -> MyInt; 9.86/4.13 subtractMyInt = flip msMyInt; 9.86/4.13 9.86/4.13 toEnum0 MyTrue vx = MyTrue; 9.86/4.13 9.86/4.13 toEnum1 vx = toEnum0 (esEsMyInt vx (Main.Pos (Main.Succ Main.Zero))) vx; 9.86/4.13 9.86/4.13 toEnum2 MyTrue vy = MyFalse; 9.86/4.13 toEnum2 vz wu = toEnum1 wu; 9.86/4.13 9.86/4.13 toEnum3 vy = toEnum2 (esEsMyInt vy (Main.Pos Main.Zero)) vy; 9.86/4.13 toEnum3 wv = toEnum1 wv; 9.86/4.13 9.86/4.13 toEnumMyBool :: MyInt -> MyBool; 9.86/4.13 toEnumMyBool vy = toEnum3 vy; 9.86/4.13 toEnumMyBool vx = toEnum1 vx; 9.86/4.13 9.86/4.13 } 9.86/4.13 9.86/4.13 ---------------------------------------- 9.86/4.13 9.86/4.13 (5) Narrow (EQUIVALENT) 9.86/4.13 Haskell To QDPs 9.86/4.13 9.86/4.13 digraph dp_graph { 9.86/4.13 node [outthreshold=100, inthreshold=100];1[label="predMyBool",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.86/4.13 3[label="predMyBool wy3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.86/4.13 4[label="pt toEnumMyBool (pt (subtractMyInt (Pos (Succ Zero))) fromEnumMyBool) wy3",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.86/4.13 5[label="toEnumMyBool (pt (subtractMyInt (Pos (Succ Zero))) fromEnumMyBool wy3)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 9.86/4.13 6[label="toEnum3 (pt (subtractMyInt (Pos (Succ Zero))) fromEnumMyBool wy3)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 9.86/4.13 7[label="toEnum2 (esEsMyInt (pt (subtractMyInt (Pos (Succ Zero))) fromEnumMyBool wy3) (Pos Zero)) (pt (subtractMyInt (Pos (Succ Zero))) fromEnumMyBool wy3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 9.86/4.13 8[label="toEnum2 (primEqInt (pt (subtractMyInt (Pos (Succ Zero))) fromEnumMyBool wy3) (Pos Zero)) (pt (subtractMyInt (Pos (Succ Zero))) fromEnumMyBool wy3)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9.86/4.13 9[label="toEnum2 (primEqInt (subtractMyInt (Pos (Succ Zero)) (fromEnumMyBool wy3)) (Pos Zero)) (subtractMyInt (Pos (Succ Zero)) (fromEnumMyBool wy3))",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3]; 9.86/4.13 10[label="toEnum2 (primEqInt (flip msMyInt (Pos (Succ Zero)) (fromEnumMyBool wy3)) (Pos Zero)) (flip msMyInt (Pos (Succ Zero)) (fromEnumMyBool wy3))",fontsize=16,color="black",shape="box"];10 -> 11[label="",style="solid", color="black", weight=3]; 9.86/4.13 11[label="toEnum2 (primEqInt (msMyInt (fromEnumMyBool wy3) (Pos (Succ Zero))) (Pos Zero)) (msMyInt (fromEnumMyBool wy3) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3]; 9.86/4.13 12[label="toEnum2 (primEqInt (primMinusInt (fromEnumMyBool wy3) (Pos (Succ Zero))) (Pos Zero)) (primMinusInt (fromEnumMyBool wy3) (Pos (Succ Zero)))",fontsize=16,color="burlywood",shape="box"];30[label="wy3/MyTrue",fontsize=10,color="white",style="solid",shape="box"];12 -> 30[label="",style="solid", color="burlywood", weight=9]; 9.86/4.13 30 -> 13[label="",style="solid", color="burlywood", weight=3]; 9.86/4.13 31[label="wy3/MyFalse",fontsize=10,color="white",style="solid",shape="box"];12 -> 31[label="",style="solid", color="burlywood", weight=9]; 9.86/4.13 31 -> 14[label="",style="solid", color="burlywood", weight=3]; 9.86/4.13 13[label="toEnum2 (primEqInt (primMinusInt (fromEnumMyBool MyTrue) (Pos (Succ Zero))) (Pos Zero)) (primMinusInt (fromEnumMyBool MyTrue) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 9.86/4.13 14[label="toEnum2 (primEqInt (primMinusInt (fromEnumMyBool MyFalse) (Pos (Succ Zero))) (Pos Zero)) (primMinusInt (fromEnumMyBool MyFalse) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];14 -> 16[label="",style="solid", color="black", weight=3]; 9.86/4.13 15[label="toEnum2 (primEqInt (primMinusInt (Pos (Succ Zero)) (Pos (Succ Zero))) (Pos Zero)) (primMinusInt (Pos (Succ Zero)) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3]; 9.86/4.13 16[label="toEnum2 (primEqInt (primMinusInt (Pos Zero) (Pos (Succ Zero))) (Pos Zero)) (primMinusInt (Pos Zero) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];16 -> 18[label="",style="solid", color="black", weight=3]; 9.86/4.13 17[label="toEnum2 (primEqInt (primMinusNat (Succ Zero) (Succ Zero)) (Pos Zero)) (primMinusNat (Succ Zero) (Succ Zero))",fontsize=16,color="black",shape="box"];17 -> 19[label="",style="solid", color="black", weight=3]; 9.86/4.13 18[label="toEnum2 (primEqInt (primMinusNat Zero (Succ Zero)) (Pos Zero)) (primMinusNat Zero (Succ Zero))",fontsize=16,color="black",shape="box"];18 -> 20[label="",style="solid", color="black", weight=3]; 9.86/4.13 19[label="toEnum2 (primEqInt (primMinusNat Zero Zero) (Pos Zero)) (primMinusNat Zero Zero)",fontsize=16,color="black",shape="box"];19 -> 21[label="",style="solid", color="black", weight=3]; 9.86/4.13 20[label="toEnum2 (primEqInt (Neg (Succ Zero)) (Pos Zero)) (Neg (Succ Zero))",fontsize=16,color="black",shape="box"];20 -> 22[label="",style="solid", color="black", weight=3]; 9.86/4.13 21[label="toEnum2 (primEqInt (Pos Zero) (Pos Zero)) (Pos Zero)",fontsize=16,color="black",shape="box"];21 -> 23[label="",style="solid", color="black", weight=3]; 9.86/4.13 22[label="toEnum2 MyFalse (Neg (Succ Zero))",fontsize=16,color="black",shape="box"];22 -> 24[label="",style="solid", color="black", weight=3]; 9.86/4.13 23[label="toEnum2 MyTrue (Pos Zero)",fontsize=16,color="black",shape="box"];23 -> 25[label="",style="solid", color="black", weight=3]; 9.86/4.13 24[label="toEnum1 (Neg (Succ Zero))",fontsize=16,color="black",shape="box"];24 -> 26[label="",style="solid", color="black", weight=3]; 9.86/4.13 25[label="MyFalse",fontsize=16,color="green",shape="box"];26[label="toEnum0 (esEsMyInt (Neg (Succ Zero)) (Pos (Succ Zero))) (Neg (Succ Zero))",fontsize=16,color="black",shape="box"];26 -> 27[label="",style="solid", color="black", weight=3]; 9.86/4.13 27[label="toEnum0 (primEqInt (Neg (Succ Zero)) (Pos (Succ Zero))) (Neg (Succ Zero))",fontsize=16,color="black",shape="box"];27 -> 28[label="",style="solid", color="black", weight=3]; 9.86/4.13 28[label="toEnum0 MyFalse (Neg (Succ Zero))",fontsize=16,color="black",shape="box"];28 -> 29[label="",style="solid", color="black", weight=3]; 9.86/4.13 29[label="error []",fontsize=16,color="red",shape="box"];} 9.86/4.13 9.86/4.13 ---------------------------------------- 9.86/4.13 9.86/4.13 (6) 9.86/4.13 YES 9.86/4.17 EOF