8.60/3.73 YES 10.19/4.22 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 10.19/4.22 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.19/4.22 10.19/4.22 10.19/4.22 H-Termination with start terms of the given HASKELL could be proven: 10.19/4.22 10.19/4.22 (0) HASKELL 10.19/4.22 (1) BR [EQUIVALENT, 0 ms] 10.19/4.22 (2) HASKELL 10.19/4.22 (3) COR [EQUIVALENT, 0 ms] 10.19/4.22 (4) HASKELL 10.19/4.22 (5) Narrow [SOUND, 0 ms] 10.19/4.22 (6) QDP 10.19/4.22 (7) DependencyGraphProof [EQUIVALENT, 0 ms] 10.19/4.22 (8) AND 10.19/4.22 (9) QDP 10.19/4.22 (10) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.19/4.22 (11) YES 10.19/4.22 (12) QDP 10.19/4.22 (13) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.19/4.22 (14) YES 10.19/4.22 (15) QDP 10.19/4.22 (16) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.19/4.22 (17) YES 10.19/4.22 (18) QDP 10.19/4.22 (19) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.19/4.22 (20) YES 10.19/4.22 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (0) 10.19/4.22 Obligation: 10.19/4.22 mainModule Main 10.19/4.22 module Main where { 10.19/4.22 import qualified Prelude; 10.19/4.22 data Main.Char = Char MyInt ; 10.19/4.22 10.19/4.22 data List a = Cons a (List a) | Nil ; 10.19/4.22 10.19/4.22 data Main.Maybe a = Nothing | Just a ; 10.19/4.22 10.19/4.22 data MyBool = MyTrue | MyFalse ; 10.19/4.22 10.19/4.22 data MyInt = Pos Main.Nat | Neg Main.Nat ; 10.19/4.22 10.19/4.22 data Main.Nat = Succ Main.Nat | Zero ; 10.19/4.22 10.19/4.22 data Tup2 b a = Tup2 b a ; 10.19/4.22 10.19/4.22 esEsChar :: Main.Char -> Main.Char -> MyBool; 10.19/4.22 esEsChar = primEqChar; 10.19/4.22 10.19/4.22 lookup k Nil = lookup3 k Nil; 10.19/4.22 lookup k (Cons (Tup2 x y) xys) = lookup2 k (Cons (Tup2 x y) xys); 10.19/4.22 10.19/4.22 lookup0 k x y xys MyTrue = lookup k xys; 10.19/4.22 10.19/4.22 lookup1 k x y xys MyTrue = Main.Just y; 10.19/4.22 lookup1 k x y xys MyFalse = lookup0 k x y xys otherwise; 10.19/4.22 10.19/4.22 lookup2 k (Cons (Tup2 x y) xys) = lookup1 k x y xys (esEsChar k x); 10.19/4.22 10.19/4.22 lookup3 k Nil = Main.Nothing; 10.19/4.22 lookup3 wu wv = lookup2 wu wv; 10.19/4.22 10.19/4.22 otherwise :: MyBool; 10.19/4.22 otherwise = MyTrue; 10.19/4.22 10.19/4.22 primEqChar :: Main.Char -> Main.Char -> MyBool; 10.19/4.22 primEqChar (Main.Char x) (Main.Char y) = primEqInt x y; 10.19/4.22 10.19/4.22 primEqInt :: MyInt -> MyInt -> MyBool; 10.19/4.22 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 10.19/4.22 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 10.19/4.22 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 10.19/4.22 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 10.19/4.22 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 10.19/4.22 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 10.19/4.22 primEqInt vv vw = MyFalse; 10.19/4.22 10.19/4.22 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 10.19/4.22 primEqNat Main.Zero Main.Zero = MyTrue; 10.19/4.22 primEqNat Main.Zero (Main.Succ y) = MyFalse; 10.19/4.22 primEqNat (Main.Succ x) Main.Zero = MyFalse; 10.19/4.22 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 10.19/4.22 10.19/4.22 } 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (1) BR (EQUIVALENT) 10.19/4.22 Replaced joker patterns by fresh variables and removed binding patterns. 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (2) 10.19/4.22 Obligation: 10.19/4.22 mainModule Main 10.19/4.22 module Main where { 10.19/4.22 import qualified Prelude; 10.19/4.22 data Main.Char = Char MyInt ; 10.19/4.22 10.19/4.22 data List a = Cons a (List a) | Nil ; 10.19/4.22 10.19/4.22 data Main.Maybe a = Nothing | Just a ; 10.19/4.22 10.19/4.22 data MyBool = MyTrue | MyFalse ; 10.19/4.22 10.19/4.22 data MyInt = Pos Main.Nat | Neg Main.Nat ; 10.19/4.22 10.19/4.22 data Main.Nat = Succ Main.Nat | Zero ; 10.19/4.22 10.19/4.22 data Tup2 b a = Tup2 b a ; 10.19/4.22 10.19/4.22 esEsChar :: Main.Char -> Main.Char -> MyBool; 10.19/4.22 esEsChar = primEqChar; 10.19/4.22 10.19/4.22 lookup k Nil = lookup3 k Nil; 10.19/4.22 lookup k (Cons (Tup2 x y) xys) = lookup2 k (Cons (Tup2 x y) xys); 10.19/4.22 10.19/4.22 lookup0 k x y xys MyTrue = lookup k xys; 10.19/4.22 10.19/4.22 lookup1 k x y xys MyTrue = Main.Just y; 10.19/4.22 lookup1 k x y xys MyFalse = lookup0 k x y xys otherwise; 10.19/4.22 10.19/4.22 lookup2 k (Cons (Tup2 x y) xys) = lookup1 k x y xys (esEsChar k x); 10.19/4.22 10.19/4.22 lookup3 k Nil = Main.Nothing; 10.19/4.22 lookup3 wu wv = lookup2 wu wv; 10.19/4.22 10.19/4.22 otherwise :: MyBool; 10.19/4.22 otherwise = MyTrue; 10.19/4.22 10.19/4.22 primEqChar :: Main.Char -> Main.Char -> MyBool; 10.19/4.22 primEqChar (Main.Char x) (Main.Char y) = primEqInt x y; 10.19/4.22 10.19/4.22 primEqInt :: MyInt -> MyInt -> MyBool; 10.19/4.22 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 10.19/4.22 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 10.19/4.22 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 10.19/4.22 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 10.19/4.22 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 10.19/4.22 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 10.19/4.22 primEqInt vv vw = MyFalse; 10.19/4.22 10.19/4.22 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 10.19/4.22 primEqNat Main.Zero Main.Zero = MyTrue; 10.19/4.22 primEqNat Main.Zero (Main.Succ y) = MyFalse; 10.19/4.22 primEqNat (Main.Succ x) Main.Zero = MyFalse; 10.19/4.22 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 10.19/4.22 10.19/4.22 } 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (3) COR (EQUIVALENT) 10.19/4.22 Cond Reductions: 10.19/4.22 The following Function with conditions 10.19/4.22 "undefined |Falseundefined; 10.19/4.22 " 10.19/4.22 is transformed to 10.19/4.22 "undefined = undefined1; 10.19/4.22 " 10.19/4.22 "undefined0 True = undefined; 10.19/4.22 " 10.19/4.22 "undefined1 = undefined0 False; 10.19/4.22 " 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (4) 10.19/4.22 Obligation: 10.19/4.22 mainModule Main 10.19/4.22 module Main where { 10.19/4.22 import qualified Prelude; 10.19/4.22 data Main.Char = Char MyInt ; 10.19/4.22 10.19/4.22 data List a = Cons a (List a) | Nil ; 10.19/4.22 10.19/4.22 data Main.Maybe a = Nothing | Just a ; 10.19/4.22 10.19/4.22 data MyBool = MyTrue | MyFalse ; 10.19/4.22 10.19/4.22 data MyInt = Pos Main.Nat | Neg Main.Nat ; 10.19/4.22 10.19/4.22 data Main.Nat = Succ Main.Nat | Zero ; 10.19/4.22 10.19/4.22 data Tup2 b a = Tup2 b a ; 10.19/4.22 10.19/4.22 esEsChar :: Main.Char -> Main.Char -> MyBool; 10.19/4.22 esEsChar = primEqChar; 10.19/4.22 10.19/4.22 lookup k Nil = lookup3 k Nil; 10.19/4.22 lookup k (Cons (Tup2 x y) xys) = lookup2 k (Cons (Tup2 x y) xys); 10.19/4.22 10.19/4.22 lookup0 k x y xys MyTrue = lookup k xys; 10.19/4.22 10.19/4.22 lookup1 k x y xys MyTrue = Main.Just y; 10.19/4.22 lookup1 k x y xys MyFalse = lookup0 k x y xys otherwise; 10.19/4.22 10.19/4.22 lookup2 k (Cons (Tup2 x y) xys) = lookup1 k x y xys (esEsChar k x); 10.19/4.22 10.19/4.22 lookup3 k Nil = Main.Nothing; 10.19/4.22 lookup3 wu wv = lookup2 wu wv; 10.19/4.22 10.19/4.22 otherwise :: MyBool; 10.19/4.22 otherwise = MyTrue; 10.19/4.22 10.19/4.22 primEqChar :: Main.Char -> Main.Char -> MyBool; 10.19/4.22 primEqChar (Main.Char x) (Main.Char y) = primEqInt x y; 10.19/4.22 10.19/4.22 primEqInt :: MyInt -> MyInt -> MyBool; 10.19/4.22 primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y; 10.19/4.22 primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y; 10.19/4.22 primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue; 10.19/4.22 primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue; 10.19/4.22 primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue; 10.19/4.22 primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue; 10.19/4.22 primEqInt vv vw = MyFalse; 10.19/4.22 10.19/4.22 primEqNat :: Main.Nat -> Main.Nat -> MyBool; 10.19/4.22 primEqNat Main.Zero Main.Zero = MyTrue; 10.19/4.22 primEqNat Main.Zero (Main.Succ y) = MyFalse; 10.19/4.22 primEqNat (Main.Succ x) Main.Zero = MyFalse; 10.19/4.22 primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y; 10.19/4.22 10.19/4.22 } 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (5) Narrow (SOUND) 10.19/4.22 Haskell To QDPs 10.19/4.22 10.19/4.22 digraph dp_graph { 10.19/4.22 node [outthreshold=100, inthreshold=100];1[label="lookup",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 10.19/4.22 3[label="lookup vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 10.19/4.22 4[label="lookup vz3 vz4",fontsize=16,color="burlywood",shape="triangle"];781[label="vz4/Cons vz40 vz41",fontsize=10,color="white",style="solid",shape="box"];4 -> 781[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 781 -> 5[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 782[label="vz4/Nil",fontsize=10,color="white",style="solid",shape="box"];4 -> 782[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 782 -> 6[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 5[label="lookup vz3 (Cons vz40 vz41)",fontsize=16,color="burlywood",shape="box"];783[label="vz40/Tup2 vz400 vz401",fontsize=10,color="white",style="solid",shape="box"];5 -> 783[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 783 -> 7[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 6[label="lookup vz3 Nil",fontsize=16,color="black",shape="box"];6 -> 8[label="",style="solid", color="black", weight=3]; 10.19/4.22 7[label="lookup vz3 (Cons (Tup2 vz400 vz401) vz41)",fontsize=16,color="black",shape="box"];7 -> 9[label="",style="solid", color="black", weight=3]; 10.19/4.22 8[label="lookup3 vz3 Nil",fontsize=16,color="black",shape="box"];8 -> 10[label="",style="solid", color="black", weight=3]; 10.19/4.22 9[label="lookup2 vz3 (Cons (Tup2 vz400 vz401) vz41)",fontsize=16,color="black",shape="box"];9 -> 11[label="",style="solid", color="black", weight=3]; 10.19/4.22 10[label="Nothing",fontsize=16,color="green",shape="box"];11[label="lookup1 vz3 vz400 vz401 vz41 (esEsChar vz3 vz400)",fontsize=16,color="black",shape="box"];11 -> 12[label="",style="solid", color="black", weight=3]; 10.19/4.22 12[label="lookup1 vz3 vz400 vz401 vz41 (primEqChar vz3 vz400)",fontsize=16,color="burlywood",shape="box"];784[label="vz3/Char vz30",fontsize=10,color="white",style="solid",shape="box"];12 -> 784[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 784 -> 13[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 13[label="lookup1 (Char vz30) vz400 vz401 vz41 (primEqChar (Char vz30) vz400)",fontsize=16,color="burlywood",shape="box"];785[label="vz400/Char vz4000",fontsize=10,color="white",style="solid",shape="box"];13 -> 785[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 785 -> 14[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 14[label="lookup1 (Char vz30) (Char vz4000) vz401 vz41 (primEqChar (Char vz30) (Char vz4000))",fontsize=16,color="black",shape="box"];14 -> 15[label="",style="solid", color="black", weight=3]; 10.19/4.22 15[label="lookup1 (Char vz30) (Char vz4000) vz401 vz41 (primEqInt vz30 vz4000)",fontsize=16,color="burlywood",shape="box"];786[label="vz30/Pos vz300",fontsize=10,color="white",style="solid",shape="box"];15 -> 786[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 786 -> 16[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 787[label="vz30/Neg vz300",fontsize=10,color="white",style="solid",shape="box"];15 -> 787[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 787 -> 17[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 16[label="lookup1 (Char (Pos vz300)) (Char vz4000) vz401 vz41 (primEqInt (Pos vz300) vz4000)",fontsize=16,color="burlywood",shape="box"];788[label="vz300/Succ vz3000",fontsize=10,color="white",style="solid",shape="box"];16 -> 788[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 788 -> 18[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 789[label="vz300/Zero",fontsize=10,color="white",style="solid",shape="box"];16 -> 789[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 789 -> 19[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 17[label="lookup1 (Char (Neg vz300)) (Char vz4000) vz401 vz41 (primEqInt (Neg vz300) vz4000)",fontsize=16,color="burlywood",shape="box"];790[label="vz300/Succ vz3000",fontsize=10,color="white",style="solid",shape="box"];17 -> 790[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 790 -> 20[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 791[label="vz300/Zero",fontsize=10,color="white",style="solid",shape="box"];17 -> 791[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 791 -> 21[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 18[label="lookup1 (Char (Pos (Succ vz3000))) (Char vz4000) vz401 vz41 (primEqInt (Pos (Succ vz3000)) vz4000)",fontsize=16,color="burlywood",shape="box"];792[label="vz4000/Pos vz40000",fontsize=10,color="white",style="solid",shape="box"];18 -> 792[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 792 -> 22[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 793[label="vz4000/Neg vz40000",fontsize=10,color="white",style="solid",shape="box"];18 -> 793[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 793 -> 23[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 19[label="lookup1 (Char (Pos Zero)) (Char vz4000) vz401 vz41 (primEqInt (Pos Zero) vz4000)",fontsize=16,color="burlywood",shape="box"];794[label="vz4000/Pos vz40000",fontsize=10,color="white",style="solid",shape="box"];19 -> 794[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 794 -> 24[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 795[label="vz4000/Neg vz40000",fontsize=10,color="white",style="solid",shape="box"];19 -> 795[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 795 -> 25[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 20[label="lookup1 (Char (Neg (Succ vz3000))) (Char vz4000) vz401 vz41 (primEqInt (Neg (Succ vz3000)) vz4000)",fontsize=16,color="burlywood",shape="box"];796[label="vz4000/Pos vz40000",fontsize=10,color="white",style="solid",shape="box"];20 -> 796[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 796 -> 26[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 797[label="vz4000/Neg vz40000",fontsize=10,color="white",style="solid",shape="box"];20 -> 797[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 797 -> 27[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 21[label="lookup1 (Char (Neg Zero)) (Char vz4000) vz401 vz41 (primEqInt (Neg Zero) vz4000)",fontsize=16,color="burlywood",shape="box"];798[label="vz4000/Pos vz40000",fontsize=10,color="white",style="solid",shape="box"];21 -> 798[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 798 -> 28[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 799[label="vz4000/Neg vz40000",fontsize=10,color="white",style="solid",shape="box"];21 -> 799[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 799 -> 29[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 22[label="lookup1 (Char (Pos (Succ vz3000))) (Char (Pos vz40000)) vz401 vz41 (primEqInt (Pos (Succ vz3000)) (Pos vz40000))",fontsize=16,color="burlywood",shape="box"];800[label="vz40000/Succ vz400000",fontsize=10,color="white",style="solid",shape="box"];22 -> 800[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 800 -> 30[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 801[label="vz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];22 -> 801[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 801 -> 31[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 23[label="lookup1 (Char (Pos (Succ vz3000))) (Char (Neg vz40000)) vz401 vz41 (primEqInt (Pos (Succ vz3000)) (Neg vz40000))",fontsize=16,color="black",shape="box"];23 -> 32[label="",style="solid", color="black", weight=3]; 10.19/4.22 24[label="lookup1 (Char (Pos Zero)) (Char (Pos vz40000)) vz401 vz41 (primEqInt (Pos Zero) (Pos vz40000))",fontsize=16,color="burlywood",shape="box"];802[label="vz40000/Succ vz400000",fontsize=10,color="white",style="solid",shape="box"];24 -> 802[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 802 -> 33[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 803[label="vz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];24 -> 803[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 803 -> 34[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 25[label="lookup1 (Char (Pos Zero)) (Char (Neg vz40000)) vz401 vz41 (primEqInt (Pos Zero) (Neg vz40000))",fontsize=16,color="burlywood",shape="box"];804[label="vz40000/Succ vz400000",fontsize=10,color="white",style="solid",shape="box"];25 -> 804[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 804 -> 35[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 805[label="vz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];25 -> 805[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 805 -> 36[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 26[label="lookup1 (Char (Neg (Succ vz3000))) (Char (Pos vz40000)) vz401 vz41 (primEqInt (Neg (Succ vz3000)) (Pos vz40000))",fontsize=16,color="black",shape="box"];26 -> 37[label="",style="solid", color="black", weight=3]; 10.19/4.22 27[label="lookup1 (Char (Neg (Succ vz3000))) (Char (Neg vz40000)) vz401 vz41 (primEqInt (Neg (Succ vz3000)) (Neg vz40000))",fontsize=16,color="burlywood",shape="box"];806[label="vz40000/Succ vz400000",fontsize=10,color="white",style="solid",shape="box"];27 -> 806[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 806 -> 38[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 807[label="vz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];27 -> 807[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 807 -> 39[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 28[label="lookup1 (Char (Neg Zero)) (Char (Pos vz40000)) vz401 vz41 (primEqInt (Neg Zero) (Pos vz40000))",fontsize=16,color="burlywood",shape="box"];808[label="vz40000/Succ vz400000",fontsize=10,color="white",style="solid",shape="box"];28 -> 808[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 808 -> 40[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 809[label="vz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];28 -> 809[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 809 -> 41[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 29[label="lookup1 (Char (Neg Zero)) (Char (Neg vz40000)) vz401 vz41 (primEqInt (Neg Zero) (Neg vz40000))",fontsize=16,color="burlywood",shape="box"];810[label="vz40000/Succ vz400000",fontsize=10,color="white",style="solid",shape="box"];29 -> 810[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 810 -> 42[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 811[label="vz40000/Zero",fontsize=10,color="white",style="solid",shape="box"];29 -> 811[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 811 -> 43[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 30[label="lookup1 (Char (Pos (Succ vz3000))) (Char (Pos (Succ vz400000))) vz401 vz41 (primEqInt (Pos (Succ vz3000)) (Pos (Succ vz400000)))",fontsize=16,color="black",shape="box"];30 -> 44[label="",style="solid", color="black", weight=3]; 10.19/4.22 31[label="lookup1 (Char (Pos (Succ vz3000))) (Char (Pos Zero)) vz401 vz41 (primEqInt (Pos (Succ vz3000)) (Pos Zero))",fontsize=16,color="black",shape="box"];31 -> 45[label="",style="solid", color="black", weight=3]; 10.19/4.22 32[label="lookup1 (Char (Pos (Succ vz3000))) (Char (Neg vz40000)) vz401 vz41 MyFalse",fontsize=16,color="black",shape="box"];32 -> 46[label="",style="solid", color="black", weight=3]; 10.19/4.22 33[label="lookup1 (Char (Pos Zero)) (Char (Pos (Succ vz400000))) vz401 vz41 (primEqInt (Pos Zero) (Pos (Succ vz400000)))",fontsize=16,color="black",shape="box"];33 -> 47[label="",style="solid", color="black", weight=3]; 10.19/4.22 34[label="lookup1 (Char (Pos Zero)) (Char (Pos Zero)) vz401 vz41 (primEqInt (Pos Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];34 -> 48[label="",style="solid", color="black", weight=3]; 10.19/4.22 35[label="lookup1 (Char (Pos Zero)) (Char (Neg (Succ vz400000))) vz401 vz41 (primEqInt (Pos Zero) (Neg (Succ vz400000)))",fontsize=16,color="black",shape="box"];35 -> 49[label="",style="solid", color="black", weight=3]; 10.19/4.22 36[label="lookup1 (Char (Pos Zero)) (Char (Neg Zero)) vz401 vz41 (primEqInt (Pos Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];36 -> 50[label="",style="solid", color="black", weight=3]; 10.19/4.22 37[label="lookup1 (Char (Neg (Succ vz3000))) (Char (Pos vz40000)) vz401 vz41 MyFalse",fontsize=16,color="black",shape="box"];37 -> 51[label="",style="solid", color="black", weight=3]; 10.19/4.22 38[label="lookup1 (Char (Neg (Succ vz3000))) (Char (Neg (Succ vz400000))) vz401 vz41 (primEqInt (Neg (Succ vz3000)) (Neg (Succ vz400000)))",fontsize=16,color="black",shape="box"];38 -> 52[label="",style="solid", color="black", weight=3]; 10.19/4.22 39[label="lookup1 (Char (Neg (Succ vz3000))) (Char (Neg Zero)) vz401 vz41 (primEqInt (Neg (Succ vz3000)) (Neg Zero))",fontsize=16,color="black",shape="box"];39 -> 53[label="",style="solid", color="black", weight=3]; 10.19/4.22 40[label="lookup1 (Char (Neg Zero)) (Char (Pos (Succ vz400000))) vz401 vz41 (primEqInt (Neg Zero) (Pos (Succ vz400000)))",fontsize=16,color="black",shape="box"];40 -> 54[label="",style="solid", color="black", weight=3]; 10.19/4.22 41[label="lookup1 (Char (Neg Zero)) (Char (Pos Zero)) vz401 vz41 (primEqInt (Neg Zero) (Pos Zero))",fontsize=16,color="black",shape="box"];41 -> 55[label="",style="solid", color="black", weight=3]; 10.19/4.22 42[label="lookup1 (Char (Neg Zero)) (Char (Neg (Succ vz400000))) vz401 vz41 (primEqInt (Neg Zero) (Neg (Succ vz400000)))",fontsize=16,color="black",shape="box"];42 -> 56[label="",style="solid", color="black", weight=3]; 10.19/4.22 43[label="lookup1 (Char (Neg Zero)) (Char (Neg Zero)) vz401 vz41 (primEqInt (Neg Zero) (Neg Zero))",fontsize=16,color="black",shape="box"];43 -> 57[label="",style="solid", color="black", weight=3]; 10.19/4.22 44 -> 623[label="",style="dashed", color="red", weight=0]; 10.19/4.22 44[label="lookup1 (Char (Pos (Succ vz3000))) (Char (Pos (Succ vz400000))) vz401 vz41 (primEqNat vz3000 vz400000)",fontsize=16,color="magenta"];44 -> 624[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 44 -> 625[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 44 -> 626[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 44 -> 627[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 44 -> 628[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 44 -> 629[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 45[label="lookup1 (Char (Pos (Succ vz3000))) (Char (Pos Zero)) vz401 vz41 MyFalse",fontsize=16,color="black",shape="box"];45 -> 60[label="",style="solid", color="black", weight=3]; 10.19/4.22 46[label="lookup0 (Char (Pos (Succ vz3000))) (Char (Neg vz40000)) vz401 vz41 otherwise",fontsize=16,color="black",shape="box"];46 -> 61[label="",style="solid", color="black", weight=3]; 10.19/4.22 47[label="lookup1 (Char (Pos Zero)) (Char (Pos (Succ vz400000))) vz401 vz41 MyFalse",fontsize=16,color="black",shape="box"];47 -> 62[label="",style="solid", color="black", weight=3]; 10.19/4.22 48[label="lookup1 (Char (Pos Zero)) (Char (Pos Zero)) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];48 -> 63[label="",style="solid", color="black", weight=3]; 10.19/4.22 49[label="lookup1 (Char (Pos Zero)) (Char (Neg (Succ vz400000))) vz401 vz41 MyFalse",fontsize=16,color="black",shape="box"];49 -> 64[label="",style="solid", color="black", weight=3]; 10.19/4.22 50[label="lookup1 (Char (Pos Zero)) (Char (Neg Zero)) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];50 -> 65[label="",style="solid", color="black", weight=3]; 10.19/4.22 51[label="lookup0 (Char (Neg (Succ vz3000))) (Char (Pos vz40000)) vz401 vz41 otherwise",fontsize=16,color="black",shape="box"];51 -> 66[label="",style="solid", color="black", weight=3]; 10.19/4.22 52 -> 686[label="",style="dashed", color="red", weight=0]; 10.19/4.22 52[label="lookup1 (Char (Neg (Succ vz3000))) (Char (Neg (Succ vz400000))) vz401 vz41 (primEqNat vz3000 vz400000)",fontsize=16,color="magenta"];52 -> 687[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 52 -> 688[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 52 -> 689[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 52 -> 690[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 52 -> 691[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 52 -> 692[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 53[label="lookup1 (Char (Neg (Succ vz3000))) (Char (Neg Zero)) vz401 vz41 MyFalse",fontsize=16,color="black",shape="box"];53 -> 69[label="",style="solid", color="black", weight=3]; 10.19/4.22 54[label="lookup1 (Char (Neg Zero)) (Char (Pos (Succ vz400000))) vz401 vz41 MyFalse",fontsize=16,color="black",shape="box"];54 -> 70[label="",style="solid", color="black", weight=3]; 10.19/4.22 55[label="lookup1 (Char (Neg Zero)) (Char (Pos Zero)) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];55 -> 71[label="",style="solid", color="black", weight=3]; 10.19/4.22 56[label="lookup1 (Char (Neg Zero)) (Char (Neg (Succ vz400000))) vz401 vz41 MyFalse",fontsize=16,color="black",shape="box"];56 -> 72[label="",style="solid", color="black", weight=3]; 10.19/4.22 57[label="lookup1 (Char (Neg Zero)) (Char (Neg Zero)) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];57 -> 73[label="",style="solid", color="black", weight=3]; 10.19/4.22 624[label="vz400000",fontsize=16,color="green",shape="box"];625[label="vz401",fontsize=16,color="green",shape="box"];626[label="vz3000",fontsize=16,color="green",shape="box"];627[label="vz3000",fontsize=16,color="green",shape="box"];628[label="vz41",fontsize=16,color="green",shape="box"];629[label="vz400000",fontsize=16,color="green",shape="box"];623[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 (primEqNat vz78 vz79)",fontsize=16,color="burlywood",shape="triangle"];812[label="vz78/Succ vz780",fontsize=10,color="white",style="solid",shape="box"];623 -> 812[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 812 -> 684[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 813[label="vz78/Zero",fontsize=10,color="white",style="solid",shape="box"];623 -> 813[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 813 -> 685[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 60[label="lookup0 (Char (Pos (Succ vz3000))) (Char (Pos Zero)) vz401 vz41 otherwise",fontsize=16,color="black",shape="box"];60 -> 78[label="",style="solid", color="black", weight=3]; 10.19/4.22 61[label="lookup0 (Char (Pos (Succ vz3000))) (Char (Neg vz40000)) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];61 -> 79[label="",style="solid", color="black", weight=3]; 10.19/4.22 62[label="lookup0 (Char (Pos Zero)) (Char (Pos (Succ vz400000))) vz401 vz41 otherwise",fontsize=16,color="black",shape="box"];62 -> 80[label="",style="solid", color="black", weight=3]; 10.19/4.22 63[label="Just vz401",fontsize=16,color="green",shape="box"];64[label="lookup0 (Char (Pos Zero)) (Char (Neg (Succ vz400000))) vz401 vz41 otherwise",fontsize=16,color="black",shape="box"];64 -> 81[label="",style="solid", color="black", weight=3]; 10.19/4.22 65[label="Just vz401",fontsize=16,color="green",shape="box"];66[label="lookup0 (Char (Neg (Succ vz3000))) (Char (Pos vz40000)) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];66 -> 82[label="",style="solid", color="black", weight=3]; 10.19/4.22 687[label="vz400000",fontsize=16,color="green",shape="box"];688[label="vz401",fontsize=16,color="green",shape="box"];689[label="vz41",fontsize=16,color="green",shape="box"];690[label="vz3000",fontsize=16,color="green",shape="box"];691[label="vz400000",fontsize=16,color="green",shape="box"];692[label="vz3000",fontsize=16,color="green",shape="box"];686[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 (primEqNat vz85 vz86)",fontsize=16,color="burlywood",shape="triangle"];814[label="vz85/Succ vz850",fontsize=10,color="white",style="solid",shape="box"];686 -> 814[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 814 -> 747[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 815[label="vz85/Zero",fontsize=10,color="white",style="solid",shape="box"];686 -> 815[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 815 -> 748[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 69[label="lookup0 (Char (Neg (Succ vz3000))) (Char (Neg Zero)) vz401 vz41 otherwise",fontsize=16,color="black",shape="box"];69 -> 87[label="",style="solid", color="black", weight=3]; 10.19/4.22 70[label="lookup0 (Char (Neg Zero)) (Char (Pos (Succ vz400000))) vz401 vz41 otherwise",fontsize=16,color="black",shape="box"];70 -> 88[label="",style="solid", color="black", weight=3]; 10.19/4.22 71[label="Just vz401",fontsize=16,color="green",shape="box"];72[label="lookup0 (Char (Neg Zero)) (Char (Neg (Succ vz400000))) vz401 vz41 otherwise",fontsize=16,color="black",shape="box"];72 -> 89[label="",style="solid", color="black", weight=3]; 10.19/4.22 73[label="Just vz401",fontsize=16,color="green",shape="box"];684[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 (primEqNat (Succ vz780) vz79)",fontsize=16,color="burlywood",shape="box"];816[label="vz79/Succ vz790",fontsize=10,color="white",style="solid",shape="box"];684 -> 816[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 816 -> 749[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 817[label="vz79/Zero",fontsize=10,color="white",style="solid",shape="box"];684 -> 817[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 817 -> 750[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 685[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 (primEqNat Zero vz79)",fontsize=16,color="burlywood",shape="box"];818[label="vz79/Succ vz790",fontsize=10,color="white",style="solid",shape="box"];685 -> 818[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 818 -> 751[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 819[label="vz79/Zero",fontsize=10,color="white",style="solid",shape="box"];685 -> 819[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 819 -> 752[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 78[label="lookup0 (Char (Pos (Succ vz3000))) (Char (Pos Zero)) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];78 -> 94[label="",style="solid", color="black", weight=3]; 10.19/4.22 79 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 79[label="lookup (Char (Pos (Succ vz3000))) vz41",fontsize=16,color="magenta"];79 -> 95[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 79 -> 96[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 80[label="lookup0 (Char (Pos Zero)) (Char (Pos (Succ vz400000))) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];80 -> 97[label="",style="solid", color="black", weight=3]; 10.19/4.22 81[label="lookup0 (Char (Pos Zero)) (Char (Neg (Succ vz400000))) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];81 -> 98[label="",style="solid", color="black", weight=3]; 10.19/4.22 82 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 82[label="lookup (Char (Neg (Succ vz3000))) vz41",fontsize=16,color="magenta"];82 -> 99[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 82 -> 100[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 747[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 (primEqNat (Succ vz850) vz86)",fontsize=16,color="burlywood",shape="box"];820[label="vz86/Succ vz860",fontsize=10,color="white",style="solid",shape="box"];747 -> 820[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 820 -> 753[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 821[label="vz86/Zero",fontsize=10,color="white",style="solid",shape="box"];747 -> 821[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 821 -> 754[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 748[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 (primEqNat Zero vz86)",fontsize=16,color="burlywood",shape="box"];822[label="vz86/Succ vz860",fontsize=10,color="white",style="solid",shape="box"];748 -> 822[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 822 -> 755[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 823[label="vz86/Zero",fontsize=10,color="white",style="solid",shape="box"];748 -> 823[label="",style="solid", color="burlywood", weight=9]; 10.19/4.22 823 -> 756[label="",style="solid", color="burlywood", weight=3]; 10.19/4.22 87[label="lookup0 (Char (Neg (Succ vz3000))) (Char (Neg Zero)) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];87 -> 105[label="",style="solid", color="black", weight=3]; 10.19/4.22 88[label="lookup0 (Char (Neg Zero)) (Char (Pos (Succ vz400000))) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];88 -> 106[label="",style="solid", color="black", weight=3]; 10.19/4.22 89[label="lookup0 (Char (Neg Zero)) (Char (Neg (Succ vz400000))) vz401 vz41 MyTrue",fontsize=16,color="black",shape="box"];89 -> 107[label="",style="solid", color="black", weight=3]; 10.19/4.22 749[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 (primEqNat (Succ vz780) (Succ vz790))",fontsize=16,color="black",shape="box"];749 -> 757[label="",style="solid", color="black", weight=3]; 10.19/4.22 750[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 (primEqNat (Succ vz780) Zero)",fontsize=16,color="black",shape="box"];750 -> 758[label="",style="solid", color="black", weight=3]; 10.19/4.22 751[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 (primEqNat Zero (Succ vz790))",fontsize=16,color="black",shape="box"];751 -> 759[label="",style="solid", color="black", weight=3]; 10.19/4.22 752[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 (primEqNat Zero Zero)",fontsize=16,color="black",shape="box"];752 -> 760[label="",style="solid", color="black", weight=3]; 10.19/4.22 94 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 94[label="lookup (Char (Pos (Succ vz3000))) vz41",fontsize=16,color="magenta"];94 -> 113[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 94 -> 114[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 95[label="vz41",fontsize=16,color="green",shape="box"];96[label="Char (Pos (Succ vz3000))",fontsize=16,color="green",shape="box"];97 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 97[label="lookup (Char (Pos Zero)) vz41",fontsize=16,color="magenta"];97 -> 115[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 97 -> 116[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 98 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 98[label="lookup (Char (Pos Zero)) vz41",fontsize=16,color="magenta"];98 -> 117[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 98 -> 118[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 99[label="vz41",fontsize=16,color="green",shape="box"];100[label="Char (Neg (Succ vz3000))",fontsize=16,color="green",shape="box"];753[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 (primEqNat (Succ vz850) (Succ vz860))",fontsize=16,color="black",shape="box"];753 -> 761[label="",style="solid", color="black", weight=3]; 10.19/4.22 754[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 (primEqNat (Succ vz850) Zero)",fontsize=16,color="black",shape="box"];754 -> 762[label="",style="solid", color="black", weight=3]; 10.19/4.22 755[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 (primEqNat Zero (Succ vz860))",fontsize=16,color="black",shape="box"];755 -> 763[label="",style="solid", color="black", weight=3]; 10.19/4.22 756[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 (primEqNat Zero Zero)",fontsize=16,color="black",shape="box"];756 -> 764[label="",style="solid", color="black", weight=3]; 10.19/4.22 105 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 105[label="lookup (Char (Neg (Succ vz3000))) vz41",fontsize=16,color="magenta"];105 -> 124[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 105 -> 125[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 106 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 106[label="lookup (Char (Neg Zero)) vz41",fontsize=16,color="magenta"];106 -> 126[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 106 -> 127[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 107 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 107[label="lookup (Char (Neg Zero)) vz41",fontsize=16,color="magenta"];107 -> 128[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 107 -> 129[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 757 -> 623[label="",style="dashed", color="red", weight=0]; 10.19/4.22 757[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 (primEqNat vz780 vz790)",fontsize=16,color="magenta"];757 -> 765[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 757 -> 766[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 758[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 MyFalse",fontsize=16,color="black",shape="triangle"];758 -> 767[label="",style="solid", color="black", weight=3]; 10.19/4.22 759 -> 758[label="",style="dashed", color="red", weight=0]; 10.19/4.22 759[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 MyFalse",fontsize=16,color="magenta"];760[label="lookup1 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 MyTrue",fontsize=16,color="black",shape="box"];760 -> 768[label="",style="solid", color="black", weight=3]; 10.19/4.22 113[label="vz41",fontsize=16,color="green",shape="box"];114[label="Char (Pos (Succ vz3000))",fontsize=16,color="green",shape="box"];115[label="vz41",fontsize=16,color="green",shape="box"];116[label="Char (Pos Zero)",fontsize=16,color="green",shape="box"];117[label="vz41",fontsize=16,color="green",shape="box"];118[label="Char (Pos Zero)",fontsize=16,color="green",shape="box"];761 -> 686[label="",style="dashed", color="red", weight=0]; 10.19/4.22 761[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 (primEqNat vz850 vz860)",fontsize=16,color="magenta"];761 -> 769[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 761 -> 770[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 762[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 MyFalse",fontsize=16,color="black",shape="triangle"];762 -> 771[label="",style="solid", color="black", weight=3]; 10.19/4.22 763 -> 762[label="",style="dashed", color="red", weight=0]; 10.19/4.22 763[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 MyFalse",fontsize=16,color="magenta"];764[label="lookup1 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 MyTrue",fontsize=16,color="black",shape="box"];764 -> 772[label="",style="solid", color="black", weight=3]; 10.19/4.22 124[label="vz41",fontsize=16,color="green",shape="box"];125[label="Char (Neg (Succ vz3000))",fontsize=16,color="green",shape="box"];126[label="vz41",fontsize=16,color="green",shape="box"];127[label="Char (Neg Zero)",fontsize=16,color="green",shape="box"];128[label="vz41",fontsize=16,color="green",shape="box"];129[label="Char (Neg Zero)",fontsize=16,color="green",shape="box"];765[label="vz780",fontsize=16,color="green",shape="box"];766[label="vz790",fontsize=16,color="green",shape="box"];767[label="lookup0 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 otherwise",fontsize=16,color="black",shape="box"];767 -> 773[label="",style="solid", color="black", weight=3]; 10.19/4.22 768[label="Just vz76",fontsize=16,color="green",shape="box"];769[label="vz860",fontsize=16,color="green",shape="box"];770[label="vz850",fontsize=16,color="green",shape="box"];771[label="lookup0 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 otherwise",fontsize=16,color="black",shape="box"];771 -> 774[label="",style="solid", color="black", weight=3]; 10.19/4.22 772[label="Just vz83",fontsize=16,color="green",shape="box"];773[label="lookup0 (Char (Pos (Succ vz74))) (Char (Pos (Succ vz75))) vz76 vz77 MyTrue",fontsize=16,color="black",shape="box"];773 -> 775[label="",style="solid", color="black", weight=3]; 10.19/4.22 774[label="lookup0 (Char (Neg (Succ vz81))) (Char (Neg (Succ vz82))) vz83 vz84 MyTrue",fontsize=16,color="black",shape="box"];774 -> 776[label="",style="solid", color="black", weight=3]; 10.19/4.22 775 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 775[label="lookup (Char (Pos (Succ vz74))) vz77",fontsize=16,color="magenta"];775 -> 777[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 775 -> 778[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 776 -> 4[label="",style="dashed", color="red", weight=0]; 10.19/4.22 776[label="lookup (Char (Neg (Succ vz81))) vz84",fontsize=16,color="magenta"];776 -> 779[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 776 -> 780[label="",style="dashed", color="magenta", weight=3]; 10.19/4.22 777[label="vz77",fontsize=16,color="green",shape="box"];778[label="Char (Pos (Succ vz74))",fontsize=16,color="green",shape="box"];779[label="vz84",fontsize=16,color="green",shape="box"];780[label="Char (Neg (Succ vz81))",fontsize=16,color="green",shape="box"];} 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (6) 10.19/4.22 Obligation: 10.19/4.22 Q DP problem: 10.19/4.22 The TRS P consists of the following rules: 10.19/4.22 10.19/4.22 new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Pos(vz40000)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), vz41, ba) 10.19/4.22 new_lookup1(vz74, vz75, vz76, vz77, Main.Succ(vz780), Main.Succ(vz790), h) -> new_lookup1(vz74, vz75, vz76, vz77, vz780, vz790, h) 10.19/4.22 new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Neg(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup11(vz3000, vz400000, vz401, vz41, vz3000, vz400000, ba) 10.19/4.22 new_lookup(Main.Char(Main.Neg(Main.Zero)), Cons(Tup2(Main.Char(Main.Neg(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Zero)), vz41, ba) 10.19/4.22 new_lookup11(vz81, vz82, vz83, vz84, Main.Succ(vz850), Main.Zero, bb) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz81))), vz84, bb) 10.19/4.22 new_lookup1(vz74, vz75, vz76, vz77, Main.Succ(vz780), Main.Zero, h) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz74))), vz77, h) 10.19/4.22 new_lookup1(vz74, vz75, vz76, vz77, Main.Zero, Main.Succ(vz790), h) -> new_lookup10(vz74, vz75, vz76, vz77, h) 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Pos(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup1(vz3000, vz400000, vz401, vz41, vz3000, vz400000, ba) 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Pos(Main.Zero)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), vz41, ba) 10.19/4.22 new_lookup(Main.Char(Main.Neg(Main.Zero)), Cons(Tup2(Main.Char(Main.Pos(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Zero)), vz41, ba) 10.19/4.22 new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Neg(Main.Zero)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), vz41, ba) 10.19/4.22 new_lookup10(vz74, vz75, vz76, vz77, h) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz74))), vz77, h) 10.19/4.22 new_lookup12(vz81, vz82, vz83, vz84, bb) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz81))), vz84, bb) 10.19/4.22 new_lookup11(vz81, vz82, vz83, vz84, Main.Succ(vz850), Main.Succ(vz860), bb) -> new_lookup11(vz81, vz82, vz83, vz84, vz850, vz860, bb) 10.19/4.22 new_lookup11(vz81, vz82, vz83, vz84, Main.Zero, Main.Succ(vz860), bb) -> new_lookup12(vz81, vz82, vz83, vz84, bb) 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Neg(vz40000)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), vz41, ba) 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Zero)), Cons(Tup2(Main.Char(Main.Pos(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Zero)), vz41, ba) 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Zero)), Cons(Tup2(Main.Char(Main.Neg(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Zero)), vz41, ba) 10.19/4.22 10.19/4.22 R is empty. 10.19/4.22 Q is empty. 10.19/4.22 We have to consider all minimal (P,Q,R)-chains. 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (7) DependencyGraphProof (EQUIVALENT) 10.19/4.22 The approximation of the Dependency Graph [LPAR04,FROCOS05,EDGSTAR] contains 4 SCCs. 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (8) 10.19/4.22 Complex Obligation (AND) 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (9) 10.19/4.22 Obligation: 10.19/4.22 Q DP problem: 10.19/4.22 The TRS P consists of the following rules: 10.19/4.22 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Zero)), Cons(Tup2(Main.Char(Main.Neg(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Zero)), vz41, ba) 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Zero)), Cons(Tup2(Main.Char(Main.Pos(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Zero)), vz41, ba) 10.19/4.22 10.19/4.22 R is empty. 10.19/4.22 Q is empty. 10.19/4.22 We have to consider all minimal (P,Q,R)-chains. 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (10) QDPSizeChangeProof (EQUIVALENT) 10.19/4.22 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 10.19/4.22 10.19/4.22 From the DPs we obtained the following set of size-change graphs: 10.19/4.22 *new_lookup(Main.Char(Main.Pos(Main.Zero)), Cons(Tup2(Main.Char(Main.Neg(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Zero)), vz41, ba) 10.19/4.22 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 10.19/4.22 10.19/4.22 10.19/4.22 *new_lookup(Main.Char(Main.Pos(Main.Zero)), Cons(Tup2(Main.Char(Main.Pos(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Zero)), vz41, ba) 10.19/4.22 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 10.19/4.22 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (11) 10.19/4.22 YES 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (12) 10.19/4.22 Obligation: 10.19/4.22 Q DP problem: 10.19/4.22 The TRS P consists of the following rules: 10.19/4.22 10.19/4.22 new_lookup(Main.Char(Main.Neg(Main.Zero)), Cons(Tup2(Main.Char(Main.Pos(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Zero)), vz41, ba) 10.19/4.22 new_lookup(Main.Char(Main.Neg(Main.Zero)), Cons(Tup2(Main.Char(Main.Neg(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Zero)), vz41, ba) 10.19/4.22 10.19/4.22 R is empty. 10.19/4.22 Q is empty. 10.19/4.22 We have to consider all minimal (P,Q,R)-chains. 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (13) QDPSizeChangeProof (EQUIVALENT) 10.19/4.22 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 10.19/4.22 10.19/4.22 From the DPs we obtained the following set of size-change graphs: 10.19/4.22 *new_lookup(Main.Char(Main.Neg(Main.Zero)), Cons(Tup2(Main.Char(Main.Pos(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Zero)), vz41, ba) 10.19/4.22 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 10.19/4.22 10.19/4.22 10.19/4.22 *new_lookup(Main.Char(Main.Neg(Main.Zero)), Cons(Tup2(Main.Char(Main.Neg(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Zero)), vz41, ba) 10.19/4.22 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 10.19/4.22 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (14) 10.19/4.22 YES 10.19/4.22 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (15) 10.19/4.22 Obligation: 10.19/4.22 Q DP problem: 10.19/4.22 The TRS P consists of the following rules: 10.19/4.22 10.19/4.22 new_lookup1(vz74, vz75, vz76, vz77, Main.Succ(vz780), Main.Zero, h) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz74))), vz77, h) 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Pos(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup1(vz3000, vz400000, vz401, vz41, vz3000, vz400000, ba) 10.19/4.22 new_lookup1(vz74, vz75, vz76, vz77, Main.Succ(vz780), Main.Succ(vz790), h) -> new_lookup1(vz74, vz75, vz76, vz77, vz780, vz790, h) 10.19/4.22 new_lookup1(vz74, vz75, vz76, vz77, Main.Zero, Main.Succ(vz790), h) -> new_lookup10(vz74, vz75, vz76, vz77, h) 10.19/4.22 new_lookup10(vz74, vz75, vz76, vz77, h) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz74))), vz77, h) 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Pos(Main.Zero)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), vz41, ba) 10.19/4.22 new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Neg(vz40000)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), vz41, ba) 10.19/4.22 10.19/4.22 R is empty. 10.19/4.22 Q is empty. 10.19/4.22 We have to consider all minimal (P,Q,R)-chains. 10.19/4.22 ---------------------------------------- 10.19/4.22 10.19/4.22 (16) QDPSizeChangeProof (EQUIVALENT) 10.19/4.22 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 10.19/4.22 10.19/4.22 From the DPs we obtained the following set of size-change graphs: 10.19/4.22 *new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Pos(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup1(vz3000, vz400000, vz401, vz41, vz3000, vz400000, ba) 10.19/4.22 The graph contains the following edges 1 > 1, 2 > 2, 2 > 3, 2 > 4, 1 > 5, 2 > 6, 3 >= 7 10.19/4.22 10.19/4.22 10.19/4.22 *new_lookup1(vz74, vz75, vz76, vz77, Main.Succ(vz780), Main.Succ(vz790), h) -> new_lookup1(vz74, vz75, vz76, vz77, vz780, vz790, h) 10.19/4.23 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 > 5, 6 > 6, 7 >= 7 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup1(vz74, vz75, vz76, vz77, Main.Succ(vz780), Main.Zero, h) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz74))), vz77, h) 10.19/4.23 The graph contains the following edges 4 >= 2, 7 >= 3 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup1(vz74, vz75, vz76, vz77, Main.Zero, Main.Succ(vz790), h) -> new_lookup10(vz74, vz75, vz76, vz77, h) 10.19/4.23 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 7 >= 5 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup10(vz74, vz75, vz76, vz77, h) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz74))), vz77, h) 10.19/4.23 The graph contains the following edges 4 >= 2, 5 >= 3 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Pos(Main.Zero)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), vz41, ba) 10.19/4.23 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Neg(vz40000)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Pos(Main.Succ(vz3000))), vz41, ba) 10.19/4.23 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 10.19/4.23 10.19/4.23 10.19/4.23 ---------------------------------------- 10.19/4.23 10.19/4.23 (17) 10.19/4.23 YES 10.19/4.23 10.19/4.23 ---------------------------------------- 10.19/4.23 10.19/4.23 (18) 10.19/4.23 Obligation: 10.19/4.23 Q DP problem: 10.19/4.23 The TRS P consists of the following rules: 10.19/4.23 10.19/4.23 new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Neg(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup11(vz3000, vz400000, vz401, vz41, vz3000, vz400000, ba) 10.19/4.23 new_lookup11(vz81, vz82, vz83, vz84, Main.Succ(vz850), Main.Zero, bb) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz81))), vz84, bb) 10.19/4.23 new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Pos(vz40000)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), vz41, ba) 10.19/4.23 new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Neg(Main.Zero)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), vz41, ba) 10.19/4.23 new_lookup11(vz81, vz82, vz83, vz84, Main.Succ(vz850), Main.Succ(vz860), bb) -> new_lookup11(vz81, vz82, vz83, vz84, vz850, vz860, bb) 10.19/4.23 new_lookup11(vz81, vz82, vz83, vz84, Main.Zero, Main.Succ(vz860), bb) -> new_lookup12(vz81, vz82, vz83, vz84, bb) 10.19/4.23 new_lookup12(vz81, vz82, vz83, vz84, bb) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz81))), vz84, bb) 10.19/4.23 10.19/4.23 R is empty. 10.19/4.23 Q is empty. 10.19/4.23 We have to consider all minimal (P,Q,R)-chains. 10.19/4.23 ---------------------------------------- 10.19/4.23 10.19/4.23 (19) QDPSizeChangeProof (EQUIVALENT) 10.19/4.23 By using the subterm criterion [SUBTERM_CRITERION] together with the size-change analysis [AAECC05] we have proven that there are no infinite chains for this DP problem. 10.19/4.23 10.19/4.23 From the DPs we obtained the following set of size-change graphs: 10.19/4.23 *new_lookup11(vz81, vz82, vz83, vz84, Main.Succ(vz850), Main.Zero, bb) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz81))), vz84, bb) 10.19/4.23 The graph contains the following edges 4 >= 2, 7 >= 3 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Neg(Main.Succ(vz400000))), vz401), vz41), ba) -> new_lookup11(vz3000, vz400000, vz401, vz41, vz3000, vz400000, ba) 10.19/4.23 The graph contains the following edges 1 > 1, 2 > 2, 2 > 3, 2 > 4, 1 > 5, 2 > 6, 3 >= 7 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup11(vz81, vz82, vz83, vz84, Main.Succ(vz850), Main.Succ(vz860), bb) -> new_lookup11(vz81, vz82, vz83, vz84, vz850, vz860, bb) 10.19/4.23 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 5 > 5, 6 > 6, 7 >= 7 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup11(vz81, vz82, vz83, vz84, Main.Zero, Main.Succ(vz860), bb) -> new_lookup12(vz81, vz82, vz83, vz84, bb) 10.19/4.23 The graph contains the following edges 1 >= 1, 2 >= 2, 3 >= 3, 4 >= 4, 7 >= 5 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup12(vz81, vz82, vz83, vz84, bb) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz81))), vz84, bb) 10.19/4.23 The graph contains the following edges 4 >= 2, 5 >= 3 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Pos(vz40000)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), vz41, ba) 10.19/4.23 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 10.19/4.23 10.19/4.23 10.19/4.23 *new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), Cons(Tup2(Main.Char(Main.Neg(Main.Zero)), vz401), vz41), ba) -> new_lookup(Main.Char(Main.Neg(Main.Succ(vz3000))), vz41, ba) 10.19/4.23 The graph contains the following edges 1 >= 1, 2 > 2, 3 >= 3 10.19/4.23 10.19/4.23 10.19/4.23 ---------------------------------------- 10.19/4.23 10.19/4.23 (20) 10.19/4.23 YES 10.42/4.27 EOF