7.95/3.59 YES 9.69/4.12 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 9.69/4.12 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 9.69/4.12 9.69/4.12 9.69/4.12 H-Termination with start terms of the given HASKELL could be proven: 9.69/4.12 9.69/4.12 (0) HASKELL 9.69/4.12 (1) BR [EQUIVALENT, 0 ms] 9.69/4.12 (2) HASKELL 9.69/4.12 (3) COR [EQUIVALENT, 0 ms] 9.69/4.12 (4) HASKELL 9.69/4.12 (5) Narrow [EQUIVALENT, 28 ms] 9.69/4.12 (6) YES 9.69/4.12 9.69/4.12 9.69/4.12 ---------------------------------------- 9.69/4.12 9.69/4.12 (0) 9.69/4.12 Obligation: 9.69/4.12 mainModule Main 9.69/4.12 module Main where { 9.69/4.12 import qualified Prelude; 9.69/4.12 data MyBool = MyTrue | MyFalse ; 9.69/4.12 9.69/4.12 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.69/4.12 9.69/4.12 data Main.Nat = Succ Main.Nat | Zero ; 9.69/4.12 9.69/4.12 esEsMyInt :: MyInt -> MyInt -> MyBool; 9.69/4.12 esEsMyInt = primEqInt; 9.69/4.12 9.69/4.12 fromEnumMyBool :: MyBool -> MyInt; 9.69/4.12 fromEnumMyBool MyFalse = Main.Pos Main.Zero; 9.69/4.12 fromEnumMyBool MyTrue = Main.Pos (Main.Succ Main.Zero); 9.69/4.12 9.69/4.12 primEqInt :: MyInt -> MyInt -> MyBool; 9.69/4.12 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 9.69/4.12 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 9.69/4.12 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.69/4.12 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.69/4.12 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.69/4.12 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.69/4.12 primEqInt vv vw = MyFalse; 9.69/4.12 9.69/4.12 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 9.69/4.12 primEqNat Main.Zero Main.Zero = MyTrue; 9.69/4.12 primEqNat Main.Zero (Main.Succ y) = MyFalse; 9.69/4.12 primEqNat (Main.Succ x) Main.Zero = MyFalse; 9.69/4.12 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 9.69/4.12 9.69/4.12 primMinusNat :: Main.Nat -> Main.Nat -> MyInt; 9.69/4.12 primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero; 9.69/4.12 primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y); 9.69/4.12 primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x); 9.69/4.12 primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y; 9.69/4.12 9.69/4.12 primPlusInt :: MyInt -> MyInt -> MyInt; 9.69/4.12 primPlusInt (Main.Pos x) (Main.Neg y) = primMinusNat x y; 9.69/4.12 primPlusInt (Main.Neg x) (Main.Pos y) = primMinusNat y x; 9.69/4.12 primPlusInt (Main.Neg x) (Main.Neg y) = Main.Neg (primPlusNat x y); 9.69/4.12 primPlusInt (Main.Pos x) (Main.Pos y) = Main.Pos (primPlusNat x y); 9.69/4.12 9.69/4.12 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.69/4.12 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.69/4.12 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.69/4.12 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 9.69/4.12 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 9.69/4.12 9.69/4.12 psMyInt :: MyInt -> MyInt -> MyInt; 9.69/4.12 psMyInt = primPlusInt; 9.69/4.12 9.69/4.12 pt :: (a -> b) -> (c -> a) -> c -> b; 9.69/4.12 pt f g x = f (g x); 9.69/4.12 9.69/4.12 succMyBool :: MyBool -> MyBool; 9.69/4.12 succMyBool = pt toEnumMyBool (pt (psMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumMyBool); 9.69/4.12 9.69/4.12 toEnum0 MyTrue vx = MyTrue; 9.69/4.12 9.69/4.12 toEnum1 vx = toEnum0 (esEsMyInt vx (Main.Pos (Main.Succ Main.Zero))) vx; 9.69/4.12 9.69/4.12 toEnum2 MyTrue vy = MyFalse; 9.69/4.12 toEnum2 vz wu = toEnum1 wu; 9.69/4.12 9.69/4.12 toEnum3 vy = toEnum2 (esEsMyInt vy (Main.Pos Main.Zero)) vy; 9.69/4.12 toEnum3 wv = toEnum1 wv; 9.69/4.12 9.69/4.12 toEnumMyBool :: MyInt -> MyBool; 9.69/4.12 toEnumMyBool vy = toEnum3 vy; 9.69/4.12 toEnumMyBool vx = toEnum1 vx; 9.69/4.12 9.69/4.12 } 9.69/4.12 9.69/4.12 ---------------------------------------- 9.69/4.12 9.69/4.12 (1) BR (EQUIVALENT) 9.69/4.12 Replaced joker patterns by fresh variables and removed binding patterns. 9.69/4.12 ---------------------------------------- 9.69/4.12 9.69/4.12 (2) 9.69/4.12 Obligation: 9.69/4.12 mainModule Main 9.69/4.12 module Main where { 9.69/4.12 import qualified Prelude; 9.69/4.12 data MyBool = MyTrue | MyFalse ; 9.69/4.12 9.69/4.12 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.69/4.12 9.69/4.12 data Main.Nat = Succ Main.Nat | Zero ; 9.69/4.12 9.69/4.12 esEsMyInt :: MyInt -> MyInt -> MyBool; 9.69/4.12 esEsMyInt = primEqInt; 9.69/4.12 9.69/4.12 fromEnumMyBool :: MyBool -> MyInt; 9.69/4.12 fromEnumMyBool MyFalse = Main.Pos Main.Zero; 9.69/4.12 fromEnumMyBool MyTrue = Main.Pos (Main.Succ Main.Zero); 9.69/4.12 9.69/4.12 primEqInt :: MyInt -> MyInt -> MyBool; 9.69/4.12 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 9.69/4.12 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 9.69/4.12 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.69/4.12 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.69/4.12 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.69/4.12 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.69/4.12 primEqInt vv vw = MyFalse; 9.69/4.12 9.69/4.12 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 9.69/4.12 primEqNat Main.Zero Main.Zero = MyTrue; 9.69/4.12 primEqNat Main.Zero (Main.Succ y) = MyFalse; 9.69/4.12 primEqNat (Main.Succ x) Main.Zero = MyFalse; 9.69/4.12 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 9.69/4.12 9.69/4.12 primMinusNat :: Main.Nat -> Main.Nat -> MyInt; 9.69/4.12 primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero; 9.69/4.12 primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y); 9.69/4.12 primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x); 9.69/4.12 primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y; 9.69/4.12 9.69/4.12 primPlusInt :: MyInt -> MyInt -> MyInt; 9.69/4.12 primPlusInt (Main.Pos x) (Main.Neg y) = primMinusNat x y; 9.69/4.12 primPlusInt (Main.Neg x) (Main.Pos y) = primMinusNat y x; 9.69/4.12 primPlusInt (Main.Neg x) (Main.Neg y) = Main.Neg (primPlusNat x y); 9.69/4.12 primPlusInt (Main.Pos x) (Main.Pos y) = Main.Pos (primPlusNat x y); 9.69/4.12 9.69/4.12 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.69/4.12 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.69/4.12 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.69/4.12 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 9.69/4.12 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 9.69/4.13 9.69/4.13 psMyInt :: MyInt -> MyInt -> MyInt; 9.69/4.13 psMyInt = primPlusInt; 9.69/4.13 9.69/4.13 pt :: (a -> b) -> (c -> a) -> c -> b; 9.69/4.13 pt f g x = f (g x); 9.69/4.13 9.69/4.13 succMyBool :: MyBool -> MyBool; 9.69/4.13 succMyBool = pt toEnumMyBool (pt (psMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumMyBool); 9.69/4.13 9.69/4.13 toEnum0 MyTrue vx = MyTrue; 9.69/4.13 9.69/4.13 toEnum1 vx = toEnum0 (esEsMyInt vx (Main.Pos (Main.Succ Main.Zero))) vx; 9.69/4.13 9.69/4.13 toEnum2 MyTrue vy = MyFalse; 9.69/4.13 toEnum2 vz wu = toEnum1 wu; 9.69/4.13 9.69/4.13 toEnum3 vy = toEnum2 (esEsMyInt vy (Main.Pos Main.Zero)) vy; 9.69/4.13 toEnum3 wv = toEnum1 wv; 9.69/4.13 9.69/4.13 toEnumMyBool :: MyInt -> MyBool; 9.69/4.13 toEnumMyBool vy = toEnum3 vy; 9.69/4.13 toEnumMyBool vx = toEnum1 vx; 9.69/4.13 9.69/4.13 } 9.69/4.13 9.69/4.13 ---------------------------------------- 9.69/4.13 9.69/4.13 (3) COR (EQUIVALENT) 9.69/4.13 Cond Reductions: 9.69/4.13 The following Function with conditions 9.69/4.13 "undefined |Falseundefined; 9.69/4.13 " 9.69/4.13 is transformed to 9.69/4.13 "undefined = undefined1; 9.69/4.13 " 9.69/4.13 "undefined0 True = undefined; 9.69/4.13 " 9.69/4.13 "undefined1 = undefined0 False; 9.69/4.13 " 9.69/4.13 9.69/4.13 ---------------------------------------- 9.69/4.13 9.69/4.13 (4) 9.69/4.13 Obligation: 9.69/4.13 mainModule Main 9.69/4.13 module Main where { 9.69/4.13 import qualified Prelude; 9.69/4.13 data MyBool = MyTrue | MyFalse ; 9.69/4.13 9.69/4.13 data MyInt = Pos Main.Nat | Neg Main.Nat ; 9.69/4.13 9.69/4.13 data Main.Nat = Succ Main.Nat | Zero ; 9.69/4.13 9.69/4.13 esEsMyInt :: MyInt -> MyInt -> MyBool; 9.69/4.13 esEsMyInt = primEqInt; 9.69/4.13 9.69/4.13 fromEnumMyBool :: MyBool -> MyInt; 9.69/4.13 fromEnumMyBool MyFalse = Main.Pos Main.Zero; 9.69/4.13 fromEnumMyBool MyTrue = Main.Pos (Main.Succ Main.Zero); 9.69/4.13 9.69/4.13 primEqInt :: MyInt -> MyInt -> MyBool; 9.69/4.13 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 9.69/4.13 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 9.69/4.13 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.69/4.13 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.69/4.13 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 9.69/4.13 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 9.69/4.13 primEqInt vv vw = MyFalse; 9.69/4.13 9.69/4.13 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 9.69/4.13 primEqNat Main.Zero Main.Zero = MyTrue; 9.69/4.13 primEqNat Main.Zero (Main.Succ y) = MyFalse; 9.69/4.13 primEqNat (Main.Succ x) Main.Zero = MyFalse; 9.69/4.13 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 9.69/4.13 9.69/4.13 primMinusNat :: Main.Nat -> Main.Nat -> MyInt; 9.69/4.13 primMinusNat Main.Zero Main.Zero = Main.Pos Main.Zero; 9.69/4.13 primMinusNat Main.Zero (Main.Succ y) = Main.Neg (Main.Succ y); 9.69/4.13 primMinusNat (Main.Succ x) Main.Zero = Main.Pos (Main.Succ x); 9.69/4.13 primMinusNat (Main.Succ x) (Main.Succ y) = primMinusNat x y; 9.69/4.13 9.69/4.13 primPlusInt :: MyInt -> MyInt -> MyInt; 9.69/4.13 primPlusInt (Main.Pos x) (Main.Neg y) = primMinusNat x y; 9.69/4.13 primPlusInt (Main.Neg x) (Main.Pos y) = primMinusNat y x; 9.69/4.13 primPlusInt (Main.Neg x) (Main.Neg y) = Main.Neg (primPlusNat x y); 9.69/4.13 primPlusInt (Main.Pos x) (Main.Pos y) = Main.Pos (primPlusNat x y); 9.69/4.13 9.69/4.13 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 9.69/4.13 primPlusNat Main.Zero Main.Zero = Main.Zero; 9.69/4.13 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 9.69/4.13 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 9.69/4.13 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 9.69/4.13 9.69/4.13 psMyInt :: MyInt -> MyInt -> MyInt; 9.69/4.13 psMyInt = primPlusInt; 9.69/4.13 9.69/4.13 pt :: (a -> c) -> (b -> a) -> b -> c; 9.69/4.13 pt f g x = f (g x); 9.69/4.13 9.69/4.13 succMyBool :: MyBool -> MyBool; 9.69/4.13 succMyBool = pt toEnumMyBool (pt (psMyInt (Main.Pos (Main.Succ Main.Zero))) fromEnumMyBool); 9.69/4.13 9.69/4.13 toEnum0 MyTrue vx = MyTrue; 9.69/4.13 9.69/4.13 toEnum1 vx = toEnum0 (esEsMyInt vx (Main.Pos (Main.Succ Main.Zero))) vx; 9.69/4.13 9.69/4.13 toEnum2 MyTrue vy = MyFalse; 9.69/4.13 toEnum2 vz wu = toEnum1 wu; 9.69/4.13 9.69/4.13 toEnum3 vy = toEnum2 (esEsMyInt vy (Main.Pos Main.Zero)) vy; 9.69/4.13 toEnum3 wv = toEnum1 wv; 9.69/4.13 9.69/4.13 toEnumMyBool :: MyInt -> MyBool; 9.69/4.13 toEnumMyBool vy = toEnum3 vy; 9.69/4.13 toEnumMyBool vx = toEnum1 vx; 9.69/4.13 9.69/4.13 } 9.69/4.13 9.69/4.13 ---------------------------------------- 9.69/4.13 9.69/4.13 (5) Narrow (EQUIVALENT) 9.69/4.13 Haskell To QDPs 9.69/4.13 9.69/4.13 digraph dp_graph { 9.69/4.13 node [outthreshold=100, inthreshold=100];1[label="succMyBool",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 9.69/4.13 3[label="succMyBool wy3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3]; 9.69/4.13 4[label="pt toEnumMyBool (pt (psMyInt (Pos (Succ Zero))) fromEnumMyBool) wy3",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3]; 9.69/4.13 5[label="toEnumMyBool (pt (psMyInt (Pos (Succ Zero))) fromEnumMyBool wy3)",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3]; 9.69/4.13 6[label="toEnum3 (pt (psMyInt (Pos (Succ Zero))) fromEnumMyBool wy3)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3]; 9.69/4.13 7[label="toEnum2 (esEsMyInt (pt (psMyInt (Pos (Succ Zero))) fromEnumMyBool wy3) (Pos Zero)) (pt (psMyInt (Pos (Succ Zero))) fromEnumMyBool wy3)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 9.69/4.13 8[label="toEnum2 (primEqInt (pt (psMyInt (Pos (Succ Zero))) fromEnumMyBool wy3) (Pos Zero)) (pt (psMyInt (Pos (Succ Zero))) fromEnumMyBool wy3)",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 9.69/4.13 9[label="toEnum2 (primEqInt (psMyInt (Pos (Succ Zero)) (fromEnumMyBool wy3)) (Pos Zero)) (psMyInt (Pos (Succ Zero)) (fromEnumMyBool wy3))",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3]; 9.69/4.13 10[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnumMyBool wy3)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnumMyBool wy3))",fontsize=16,color="burlywood",shape="box"];33[label="wy3/MyTrue",fontsize=10,color="white",style="solid",shape="box"];10 -> 33[label="",style="solid", color="burlywood", weight=9]; 9.69/4.13 33 -> 11[label="",style="solid", color="burlywood", weight=3]; 9.69/4.13 34[label="wy3/MyFalse",fontsize=10,color="white",style="solid",shape="box"];10 -> 34[label="",style="solid", color="burlywood", weight=9]; 9.69/4.13 34 -> 12[label="",style="solid", color="burlywood", weight=3]; 9.69/4.13 11[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnumMyBool MyTrue)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnumMyBool MyTrue))",fontsize=16,color="black",shape="box"];11 -> 13[label="",style="solid", color="black", weight=3]; 9.69/4.13 12[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (fromEnumMyBool MyFalse)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (fromEnumMyBool MyFalse))",fontsize=16,color="black",shape="box"];12 -> 14[label="",style="solid", color="black", weight=3]; 9.69/4.13 13[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (Pos (Succ Zero))) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (Pos (Succ Zero)))",fontsize=16,color="black",shape="box"];13 -> 15[label="",style="solid", color="black", weight=3]; 9.69/4.13 14[label="toEnum2 (primEqInt (primPlusInt (Pos (Succ Zero)) (Pos Zero)) (Pos Zero)) (primPlusInt (Pos (Succ Zero)) (Pos Zero))",fontsize=16,color="black",shape="box"];14 -> 16[label="",style="solid", color="black", weight=3]; 9.69/4.13 15[label="toEnum2 (primEqInt (Pos (primPlusNat (Succ Zero) (Succ Zero))) (Pos Zero)) (Pos (primPlusNat (Succ Zero) (Succ Zero)))",fontsize=16,color="black",shape="box"];15 -> 17[label="",style="solid", color="black", weight=3]; 9.69/4.13 16[label="toEnum2 (primEqInt (Pos (primPlusNat (Succ Zero) Zero)) (Pos Zero)) (Pos (primPlusNat (Succ Zero) Zero))",fontsize=16,color="black",shape="box"];16 -> 18[label="",style="solid", color="black", weight=3]; 9.69/4.13 17[label="toEnum2 (primEqInt (Pos (Succ (Succ (primPlusNat Zero Zero)))) (Pos Zero)) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];17 -> 19[label="",style="solid", color="black", weight=3]; 9.69/4.13 18[label="toEnum2 (primEqInt (Pos (Succ Zero)) (Pos Zero)) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];18 -> 20[label="",style="solid", color="black", weight=3]; 9.69/4.13 19[label="toEnum2 MyFalse (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];19 -> 21[label="",style="solid", color="black", weight=3]; 9.69/4.13 20[label="toEnum2 MyFalse (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];20 -> 22[label="",style="solid", color="black", weight=3]; 9.69/4.13 21[label="toEnum1 (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];21 -> 23[label="",style="solid", color="black", weight=3]; 9.69/4.13 22[label="toEnum1 (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];22 -> 24[label="",style="solid", color="black", weight=3]; 9.69/4.13 23[label="toEnum0 (esEsMyInt (Pos (Succ (Succ (primPlusNat Zero Zero)))) (Pos (Succ Zero))) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];23 -> 25[label="",style="solid", color="black", weight=3]; 9.69/4.13 24[label="toEnum0 (esEsMyInt (Pos (Succ Zero)) (Pos (Succ Zero))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];24 -> 26[label="",style="solid", color="black", weight=3]; 9.69/4.13 25[label="toEnum0 (primEqInt (Pos (Succ (Succ (primPlusNat Zero Zero)))) (Pos (Succ Zero))) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];25 -> 27[label="",style="solid", color="black", weight=3]; 9.69/4.13 26[label="toEnum0 (primEqInt (Pos (Succ Zero)) (Pos (Succ Zero))) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];26 -> 28[label="",style="solid", color="black", weight=3]; 9.69/4.13 27[label="toEnum0 (primEqNat (Succ (primPlusNat Zero Zero)) Zero) (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];27 -> 29[label="",style="solid", color="black", weight=3]; 9.69/4.13 28[label="toEnum0 (primEqNat Zero Zero) (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];28 -> 30[label="",style="solid", color="black", weight=3]; 9.69/4.13 29[label="toEnum0 MyFalse (Pos (Succ (Succ (primPlusNat Zero Zero))))",fontsize=16,color="black",shape="box"];29 -> 31[label="",style="solid", color="black", weight=3]; 9.69/4.13 30[label="toEnum0 MyTrue (Pos (Succ Zero))",fontsize=16,color="black",shape="box"];30 -> 32[label="",style="solid", color="black", weight=3]; 9.69/4.13 31[label="error []",fontsize=16,color="red",shape="box"];32[label="MyTrue",fontsize=16,color="green",shape="box"];} 9.69/4.13 9.69/4.13 ---------------------------------------- 9.69/4.13 9.69/4.13 (6) 9.69/4.13 YES 9.98/4.19 EOF