8.27/3.72 YES 10.36/4.27 proof of /export/starexec/sandbox/benchmark/theBenchmark.hs 10.36/4.27 # AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty 10.36/4.27 10.36/4.27 10.36/4.27 H-Termination with start terms of the given HASKELL could be proven: 10.36/4.27 10.36/4.27 (0) HASKELL 10.36/4.27 (1) BR [EQUIVALENT, 0 ms] 10.36/4.27 (2) HASKELL 10.36/4.27 (3) COR [EQUIVALENT, 0 ms] 10.36/4.27 (4) HASKELL 10.36/4.27 (5) Narrow [SOUND, 0 ms] 10.36/4.27 (6) AND 10.36/4.27 (7) QDP 10.36/4.27 (8) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.36/4.27 (9) YES 10.36/4.27 (10) QDP 10.36/4.27 (11) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.36/4.27 (12) YES 10.36/4.27 (13) QDP 10.36/4.27 (14) QDPSizeChangeProof [EQUIVALENT, 0 ms] 10.36/4.27 (15) YES 10.36/4.27 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (0) 10.36/4.27 Obligation: 10.36/4.27 mainModule Main 10.36/4.27 module Main where { 10.36/4.27 import qualified Prelude; 10.36/4.27 data MyBool = MyTrue | MyFalse ; 10.36/4.27 10.36/4.27 data MyInt = Pos Main.Nat | Neg Main.Nat ; 10.36/4.27 10.36/4.27 data Main.Nat = Succ Main.Nat | Zero ; 10.36/4.27 10.36/4.27 data Ordering = LT | EQ | GT ; 10.36/4.27 10.36/4.27 data Ratio a = CnPc a a ; 10.36/4.27 10.36/4.27 compareMyInt :: MyInt -> MyInt -> Ordering; 10.36/4.27 compareMyInt = primCmpInt; 10.36/4.27 10.36/4.27 compareRatio :: Ratio MyInt -> Ratio MyInt -> Ordering; 10.36/4.27 compareRatio (CnPc x y) (CnPc x' y') = compareMyInt (srMyInt x y') (srMyInt x' y); 10.36/4.27 10.36/4.27 esEsOrdering :: Ordering -> Ordering -> MyBool; 10.36/4.27 esEsOrdering LT LT = MyTrue; 10.36/4.27 esEsOrdering LT EQ = MyFalse; 10.36/4.27 esEsOrdering LT GT = MyFalse; 10.36/4.27 esEsOrdering EQ LT = MyFalse; 10.36/4.27 esEsOrdering EQ EQ = MyTrue; 10.36/4.27 esEsOrdering EQ GT = MyFalse; 10.36/4.27 esEsOrdering GT LT = MyFalse; 10.36/4.27 esEsOrdering GT EQ = MyFalse; 10.36/4.27 esEsOrdering GT GT = MyTrue; 10.36/4.27 10.36/4.27 gtRatio :: Ratio MyInt -> Ratio MyInt -> MyBool; 10.36/4.27 gtRatio x y = esEsOrdering (compareRatio x y) GT; 10.36/4.27 10.36/4.27 primCmpInt :: MyInt -> MyInt -> Ordering; 10.36/4.27 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 10.36/4.27 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 10.36/4.27 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 10.36/4.27 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 10.36/4.27 10.36/4.27 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 10.36/4.27 primCmpNat Main.Zero Main.Zero = EQ; 10.36/4.27 primCmpNat Main.Zero (Main.Succ y) = LT; 10.36/4.27 primCmpNat (Main.Succ x) Main.Zero = GT; 10.36/4.27 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 10.36/4.27 10.36/4.27 primMulInt :: MyInt -> MyInt -> MyInt; 10.36/4.27 primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); 10.36/4.27 primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); 10.36/4.27 primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y); 10.36/4.27 primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y); 10.36/4.27 10.36/4.27 primMulNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.36/4.27 primMulNat Main.Zero Main.Zero = Main.Zero; 10.36/4.27 primMulNat Main.Zero (Main.Succ y) = Main.Zero; 10.36/4.27 primMulNat (Main.Succ x) Main.Zero = Main.Zero; 10.36/4.27 primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y); 10.36/4.27 10.36/4.27 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.36/4.27 primPlusNat Main.Zero Main.Zero = Main.Zero; 10.36/4.27 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 10.36/4.27 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 10.36/4.27 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 10.36/4.27 10.36/4.27 srMyInt :: MyInt -> MyInt -> MyInt; 10.36/4.27 srMyInt = primMulInt; 10.36/4.27 10.36/4.27 } 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (1) BR (EQUIVALENT) 10.36/4.27 Replaced joker patterns by fresh variables and removed binding patterns. 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (2) 10.36/4.27 Obligation: 10.36/4.27 mainModule Main 10.36/4.27 module Main where { 10.36/4.27 import qualified Prelude; 10.36/4.27 data MyBool = MyTrue | MyFalse ; 10.36/4.27 10.36/4.27 data MyInt = Pos Main.Nat | Neg Main.Nat ; 10.36/4.27 10.36/4.27 data Main.Nat = Succ Main.Nat | Zero ; 10.36/4.27 10.36/4.27 data Ordering = LT | EQ | GT ; 10.36/4.27 10.36/4.27 data Ratio a = CnPc a a ; 10.36/4.27 10.36/4.27 compareMyInt :: MyInt -> MyInt -> Ordering; 10.36/4.27 compareMyInt = primCmpInt; 10.36/4.27 10.36/4.27 compareRatio :: Ratio MyInt -> Ratio MyInt -> Ordering; 10.36/4.27 compareRatio (CnPc x y) (CnPc x' y') = compareMyInt (srMyInt x y') (srMyInt x' y); 10.36/4.27 10.36/4.27 esEsOrdering :: Ordering -> Ordering -> MyBool; 10.36/4.27 esEsOrdering LT LT = MyTrue; 10.36/4.27 esEsOrdering LT EQ = MyFalse; 10.36/4.27 esEsOrdering LT GT = MyFalse; 10.36/4.27 esEsOrdering EQ LT = MyFalse; 10.36/4.27 esEsOrdering EQ EQ = MyTrue; 10.36/4.27 esEsOrdering EQ GT = MyFalse; 10.36/4.27 esEsOrdering GT LT = MyFalse; 10.36/4.27 esEsOrdering GT EQ = MyFalse; 10.36/4.27 esEsOrdering GT GT = MyTrue; 10.36/4.27 10.36/4.27 gtRatio :: Ratio MyInt -> Ratio MyInt -> MyBool; 10.36/4.27 gtRatio x y = esEsOrdering (compareRatio x y) GT; 10.36/4.27 10.36/4.27 primCmpInt :: MyInt -> MyInt -> Ordering; 10.36/4.27 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 10.36/4.27 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 10.36/4.27 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 10.36/4.27 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 10.36/4.27 10.36/4.27 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 10.36/4.27 primCmpNat Main.Zero Main.Zero = EQ; 10.36/4.27 primCmpNat Main.Zero (Main.Succ y) = LT; 10.36/4.27 primCmpNat (Main.Succ x) Main.Zero = GT; 10.36/4.27 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 10.36/4.27 10.36/4.27 primMulInt :: MyInt -> MyInt -> MyInt; 10.36/4.27 primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); 10.36/4.27 primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); 10.36/4.27 primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y); 10.36/4.27 primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y); 10.36/4.27 10.36/4.27 primMulNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.36/4.27 primMulNat Main.Zero Main.Zero = Main.Zero; 10.36/4.27 primMulNat Main.Zero (Main.Succ y) = Main.Zero; 10.36/4.27 primMulNat (Main.Succ x) Main.Zero = Main.Zero; 10.36/4.27 primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y); 10.36/4.27 10.36/4.27 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.36/4.27 primPlusNat Main.Zero Main.Zero = Main.Zero; 10.36/4.27 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 10.36/4.27 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 10.36/4.27 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 10.36/4.27 10.36/4.27 srMyInt :: MyInt -> MyInt -> MyInt; 10.36/4.27 srMyInt = primMulInt; 10.36/4.27 10.36/4.27 } 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (3) COR (EQUIVALENT) 10.36/4.27 Cond Reductions: 10.36/4.27 The following Function with conditions 10.36/4.27 "undefined |Falseundefined; 10.36/4.27 " 10.36/4.27 is transformed to 10.36/4.27 "undefined = undefined1; 10.36/4.27 " 10.36/4.27 "undefined0 True = undefined; 10.36/4.27 " 10.36/4.27 "undefined1 = undefined0 False; 10.36/4.27 " 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (4) 10.36/4.27 Obligation: 10.36/4.27 mainModule Main 10.36/4.27 module Main where { 10.36/4.27 import qualified Prelude; 10.36/4.27 data MyBool = MyTrue | MyFalse ; 10.36/4.27 10.36/4.27 data MyInt = Pos Main.Nat | Neg Main.Nat ; 10.36/4.27 10.36/4.27 data Main.Nat = Succ Main.Nat | Zero ; 10.36/4.27 10.36/4.27 data Ordering = LT | EQ | GT ; 10.36/4.27 10.36/4.27 data Ratio a = CnPc a a ; 10.36/4.27 10.36/4.27 compareMyInt :: MyInt -> MyInt -> Ordering; 10.36/4.27 compareMyInt = primCmpInt; 10.36/4.27 10.36/4.27 compareRatio :: Ratio MyInt -> Ratio MyInt -> Ordering; 10.36/4.27 compareRatio (CnPc x y) (CnPc x' y') = compareMyInt (srMyInt x y') (srMyInt x' y); 10.36/4.27 10.36/4.27 esEsOrdering :: Ordering -> Ordering -> MyBool; 10.36/4.27 esEsOrdering LT LT = MyTrue; 10.36/4.27 esEsOrdering LT EQ = MyFalse; 10.36/4.27 esEsOrdering LT GT = MyFalse; 10.36/4.27 esEsOrdering EQ LT = MyFalse; 10.36/4.27 esEsOrdering EQ EQ = MyTrue; 10.36/4.27 esEsOrdering EQ GT = MyFalse; 10.36/4.27 esEsOrdering GT LT = MyFalse; 10.36/4.27 esEsOrdering GT EQ = MyFalse; 10.36/4.27 esEsOrdering GT GT = MyTrue; 10.36/4.27 10.36/4.27 gtRatio :: Ratio MyInt -> Ratio MyInt -> MyBool; 10.36/4.27 gtRatio x y = esEsOrdering (compareRatio x y) GT; 10.36/4.27 10.36/4.27 primCmpInt :: MyInt -> MyInt -> Ordering; 10.36/4.27 primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ; 10.36/4.27 primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y; 10.36/4.27 primCmpInt (Main.Pos x) (Main.Neg y) = GT; 10.36/4.27 primCmpInt (Main.Neg x) (Main.Pos y) = LT; 10.36/4.27 primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x; 10.36/4.27 10.36/4.27 primCmpNat :: Main.Nat -> Main.Nat -> Ordering; 10.36/4.27 primCmpNat Main.Zero Main.Zero = EQ; 10.36/4.27 primCmpNat Main.Zero (Main.Succ y) = LT; 10.36/4.27 primCmpNat (Main.Succ x) Main.Zero = GT; 10.36/4.27 primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y; 10.36/4.27 10.36/4.27 primMulInt :: MyInt -> MyInt -> MyInt; 10.36/4.27 primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y); 10.36/4.27 primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y); 10.36/4.27 primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y); 10.36/4.27 primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y); 10.36/4.27 10.36/4.27 primMulNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.36/4.27 primMulNat Main.Zero Main.Zero = Main.Zero; 10.36/4.27 primMulNat Main.Zero (Main.Succ y) = Main.Zero; 10.36/4.27 primMulNat (Main.Succ x) Main.Zero = Main.Zero; 10.36/4.27 primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y); 10.36/4.27 10.36/4.27 primPlusNat :: Main.Nat -> Main.Nat -> Main.Nat; 10.36/4.27 primPlusNat Main.Zero Main.Zero = Main.Zero; 10.36/4.27 primPlusNat Main.Zero (Main.Succ y) = Main.Succ y; 10.36/4.27 primPlusNat (Main.Succ x) Main.Zero = Main.Succ x; 10.36/4.27 primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y)); 10.36/4.27 10.36/4.27 srMyInt :: MyInt -> MyInt -> MyInt; 10.36/4.27 srMyInt = primMulInt; 10.36/4.27 10.36/4.27 } 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (5) Narrow (SOUND) 10.36/4.27 Haskell To QDPs 10.36/4.27 10.36/4.27 digraph dp_graph { 10.36/4.27 node [outthreshold=100, inthreshold=100];1[label="gtRatio",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3]; 10.36/4.27 3[label="gtRatio vx3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3]; 10.36/4.27 4[label="gtRatio vx3 vx4",fontsize=16,color="black",shape="triangle"];4 -> 5[label="",style="solid", color="black", weight=3]; 10.36/4.27 5[label="esEsOrdering (compareRatio vx3 vx4) GT",fontsize=16,color="burlywood",shape="box"];511[label="vx3/CnPc vx30 vx31",fontsize=10,color="white",style="solid",shape="box"];5 -> 511[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 511 -> 6[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 6[label="esEsOrdering (compareRatio (CnPc vx30 vx31) vx4) GT",fontsize=16,color="burlywood",shape="box"];512[label="vx4/CnPc vx40 vx41",fontsize=10,color="white",style="solid",shape="box"];6 -> 512[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 512 -> 7[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 7[label="esEsOrdering (compareRatio (CnPc vx30 vx31) (CnPc vx40 vx41)) GT",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3]; 10.36/4.27 8[label="esEsOrdering (compareMyInt (srMyInt vx30 vx41) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];8 -> 9[label="",style="solid", color="black", weight=3]; 10.36/4.27 9[label="esEsOrdering (primCmpInt (srMyInt vx30 vx41) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3]; 10.36/4.27 10[label="esEsOrdering (primCmpInt (primMulInt vx30 vx41) (srMyInt vx40 vx31)) GT",fontsize=16,color="burlywood",shape="box"];513[label="vx30/Pos vx300",fontsize=10,color="white",style="solid",shape="box"];10 -> 513[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 513 -> 11[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 514[label="vx30/Neg vx300",fontsize=10,color="white",style="solid",shape="box"];10 -> 514[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 514 -> 12[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 11[label="esEsOrdering (primCmpInt (primMulInt (Pos vx300) vx41) (srMyInt vx40 vx31)) GT",fontsize=16,color="burlywood",shape="box"];515[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];11 -> 515[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 515 -> 13[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 516[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];11 -> 516[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 516 -> 14[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 12[label="esEsOrdering (primCmpInt (primMulInt (Neg vx300) vx41) (srMyInt vx40 vx31)) GT",fontsize=16,color="burlywood",shape="box"];517[label="vx41/Pos vx410",fontsize=10,color="white",style="solid",shape="box"];12 -> 517[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 517 -> 15[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 518[label="vx41/Neg vx410",fontsize=10,color="white",style="solid",shape="box"];12 -> 518[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 518 -> 16[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 13[label="esEsOrdering (primCmpInt (primMulInt (Pos vx300) (Pos vx410)) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];13 -> 17[label="",style="solid", color="black", weight=3]; 10.36/4.27 14[label="esEsOrdering (primCmpInt (primMulInt (Pos vx300) (Neg vx410)) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];14 -> 18[label="",style="solid", color="black", weight=3]; 10.36/4.27 15[label="esEsOrdering (primCmpInt (primMulInt (Neg vx300) (Pos vx410)) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];15 -> 19[label="",style="solid", color="black", weight=3]; 10.36/4.27 16[label="esEsOrdering (primCmpInt (primMulInt (Neg vx300) (Neg vx410)) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];16 -> 20[label="",style="solid", color="black", weight=3]; 10.36/4.27 17 -> 267[label="",style="dashed", color="red", weight=0]; 10.36/4.27 17[label="esEsOrdering (primCmpInt (Pos (primMulNat vx300 vx410)) (srMyInt vx40 vx31)) GT",fontsize=16,color="magenta"];17 -> 268[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 18 -> 343[label="",style="dashed", color="red", weight=0]; 10.36/4.27 18[label="esEsOrdering (primCmpInt (Neg (primMulNat vx300 vx410)) (srMyInt vx40 vx31)) GT",fontsize=16,color="magenta"];18 -> 344[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 19 -> 343[label="",style="dashed", color="red", weight=0]; 10.36/4.27 19[label="esEsOrdering (primCmpInt (Neg (primMulNat vx300 vx410)) (srMyInt vx40 vx31)) GT",fontsize=16,color="magenta"];19 -> 345[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 20 -> 267[label="",style="dashed", color="red", weight=0]; 10.36/4.27 20[label="esEsOrdering (primCmpInt (Pos (primMulNat vx300 vx410)) (srMyInt vx40 vx31)) GT",fontsize=16,color="magenta"];20 -> 269[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 268[label="primMulNat vx300 vx410",fontsize=16,color="burlywood",shape="triangle"];519[label="vx300/Succ vx3000",fontsize=10,color="white",style="solid",shape="box"];268 -> 519[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 519 -> 280[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 520[label="vx300/Zero",fontsize=10,color="white",style="solid",shape="box"];268 -> 520[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 520 -> 281[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 267[label="esEsOrdering (primCmpInt (Pos vx10) (srMyInt vx40 vx31)) GT",fontsize=16,color="burlywood",shape="triangle"];521[label="vx10/Succ vx100",fontsize=10,color="white",style="solid",shape="box"];267 -> 521[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 521 -> 282[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 522[label="vx10/Zero",fontsize=10,color="white",style="solid",shape="box"];267 -> 522[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 522 -> 283[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 344 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 344[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];344 -> 356[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 343[label="esEsOrdering (primCmpInt (Neg vx15) (srMyInt vx40 vx31)) GT",fontsize=16,color="burlywood",shape="triangle"];523[label="vx15/Succ vx150",fontsize=10,color="white",style="solid",shape="box"];343 -> 523[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 523 -> 357[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 524[label="vx15/Zero",fontsize=10,color="white",style="solid",shape="box"];343 -> 524[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 524 -> 358[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 345 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 345[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];345 -> 359[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 269 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 269[label="primMulNat vx300 vx410",fontsize=16,color="magenta"];269 -> 284[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 269 -> 285[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 280[label="primMulNat (Succ vx3000) vx410",fontsize=16,color="burlywood",shape="box"];525[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];280 -> 525[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 525 -> 300[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 526[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];280 -> 526[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 526 -> 301[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 281[label="primMulNat Zero vx410",fontsize=16,color="burlywood",shape="box"];527[label="vx410/Succ vx4100",fontsize=10,color="white",style="solid",shape="box"];281 -> 527[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 527 -> 302[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 528[label="vx410/Zero",fontsize=10,color="white",style="solid",shape="box"];281 -> 528[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 528 -> 303[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 282[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];282 -> 304[label="",style="solid", color="black", weight=3]; 10.36/4.27 283[label="esEsOrdering (primCmpInt (Pos Zero) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];283 -> 305[label="",style="solid", color="black", weight=3]; 10.36/4.27 356[label="vx410",fontsize=16,color="green",shape="box"];357[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];357 -> 370[label="",style="solid", color="black", weight=3]; 10.36/4.27 358[label="esEsOrdering (primCmpInt (Neg Zero) (srMyInt vx40 vx31)) GT",fontsize=16,color="black",shape="box"];358 -> 371[label="",style="solid", color="black", weight=3]; 10.36/4.27 359[label="vx300",fontsize=16,color="green",shape="box"];284[label="vx300",fontsize=16,color="green",shape="box"];285[label="vx410",fontsize=16,color="green",shape="box"];300[label="primMulNat (Succ vx3000) (Succ vx4100)",fontsize=16,color="black",shape="box"];300 -> 316[label="",style="solid", color="black", weight=3]; 10.36/4.27 301[label="primMulNat (Succ vx3000) Zero",fontsize=16,color="black",shape="box"];301 -> 317[label="",style="solid", color="black", weight=3]; 10.36/4.27 302[label="primMulNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];302 -> 318[label="",style="solid", color="black", weight=3]; 10.36/4.27 303[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];303 -> 319[label="",style="solid", color="black", weight=3]; 10.36/4.27 304[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt vx40 vx31)) GT",fontsize=16,color="burlywood",shape="box"];529[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];304 -> 529[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 529 -> 320[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 530[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];304 -> 530[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 530 -> 321[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 305[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt vx40 vx31)) GT",fontsize=16,color="burlywood",shape="box"];531[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];305 -> 531[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 531 -> 322[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 532[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];305 -> 532[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 532 -> 323[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 370[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt vx40 vx31)) GT",fontsize=16,color="burlywood",shape="box"];533[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];370 -> 533[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 533 -> 375[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 534[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];370 -> 534[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 534 -> 376[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 371[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt vx40 vx31)) GT",fontsize=16,color="burlywood",shape="box"];535[label="vx40/Pos vx400",fontsize=10,color="white",style="solid",shape="box"];371 -> 535[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 535 -> 377[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 536[label="vx40/Neg vx400",fontsize=10,color="white",style="solid",shape="box"];371 -> 536[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 536 -> 378[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 316 -> 329[label="",style="dashed", color="red", weight=0]; 10.36/4.27 316[label="primPlusNat (primMulNat vx3000 (Succ vx4100)) (Succ vx4100)",fontsize=16,color="magenta"];316 -> 330[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 317[label="Zero",fontsize=16,color="green",shape="box"];318[label="Zero",fontsize=16,color="green",shape="box"];319[label="Zero",fontsize=16,color="green",shape="box"];320[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) vx31)) GT",fontsize=16,color="burlywood",shape="box"];537[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];320 -> 537[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 537 -> 331[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 538[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];320 -> 538[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 538 -> 332[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 321[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) vx31)) GT",fontsize=16,color="burlywood",shape="box"];539[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];321 -> 539[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 539 -> 333[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 540[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];321 -> 540[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 540 -> 334[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 322[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Pos vx400) vx31)) GT",fontsize=16,color="burlywood",shape="box"];541[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];322 -> 541[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 541 -> 335[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 542[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];322 -> 542[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 542 -> 336[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 323[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Neg vx400) vx31)) GT",fontsize=16,color="burlywood",shape="box"];543[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];323 -> 543[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 543 -> 337[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 544[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];323 -> 544[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 544 -> 338[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 375[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) vx31)) GT",fontsize=16,color="burlywood",shape="box"];545[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];375 -> 545[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 545 -> 382[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 546[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];375 -> 546[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 546 -> 383[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 376[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) vx31)) GT",fontsize=16,color="burlywood",shape="box"];547[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];376 -> 547[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 547 -> 384[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 548[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];376 -> 548[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 548 -> 385[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 377[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Pos vx400) vx31)) GT",fontsize=16,color="burlywood",shape="box"];549[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];377 -> 549[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 549 -> 386[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 550[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];377 -> 550[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 550 -> 387[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 378[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Neg vx400) vx31)) GT",fontsize=16,color="burlywood",shape="box"];551[label="vx31/Pos vx310",fontsize=10,color="white",style="solid",shape="box"];378 -> 551[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 551 -> 388[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 552[label="vx31/Neg vx310",fontsize=10,color="white",style="solid",shape="box"];378 -> 552[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 552 -> 389[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 330 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 330[label="primMulNat vx3000 (Succ vx4100)",fontsize=16,color="magenta"];330 -> 339[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 330 -> 340[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 329[label="primPlusNat vx14 (Succ vx4100)",fontsize=16,color="burlywood",shape="triangle"];553[label="vx14/Succ vx140",fontsize=10,color="white",style="solid",shape="box"];329 -> 553[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 553 -> 341[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 554[label="vx14/Zero",fontsize=10,color="white",style="solid",shape="box"];329 -> 554[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 554 -> 342[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 331[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) (Pos vx310))) GT",fontsize=16,color="black",shape="box"];331 -> 360[label="",style="solid", color="black", weight=3]; 10.36/4.27 332[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Pos vx400) (Neg vx310))) GT",fontsize=16,color="black",shape="box"];332 -> 361[label="",style="solid", color="black", weight=3]; 10.36/4.27 333[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) (Pos vx310))) GT",fontsize=16,color="black",shape="box"];333 -> 362[label="",style="solid", color="black", weight=3]; 10.36/4.27 334[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (primMulInt (Neg vx400) (Neg vx310))) GT",fontsize=16,color="black",shape="box"];334 -> 363[label="",style="solid", color="black", weight=3]; 10.36/4.27 335[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Pos vx400) (Pos vx310))) GT",fontsize=16,color="black",shape="box"];335 -> 364[label="",style="solid", color="black", weight=3]; 10.36/4.27 336[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Pos vx400) (Neg vx310))) GT",fontsize=16,color="black",shape="box"];336 -> 365[label="",style="solid", color="black", weight=3]; 10.36/4.27 337[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Neg vx400) (Pos vx310))) GT",fontsize=16,color="black",shape="box"];337 -> 366[label="",style="solid", color="black", weight=3]; 10.36/4.27 338[label="esEsOrdering (primCmpInt (Pos Zero) (primMulInt (Neg vx400) (Neg vx310))) GT",fontsize=16,color="black",shape="box"];338 -> 367[label="",style="solid", color="black", weight=3]; 10.36/4.27 382[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) (Pos vx310))) GT",fontsize=16,color="black",shape="box"];382 -> 393[label="",style="solid", color="black", weight=3]; 10.36/4.27 383[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Pos vx400) (Neg vx310))) GT",fontsize=16,color="black",shape="box"];383 -> 394[label="",style="solid", color="black", weight=3]; 10.36/4.27 384[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) (Pos vx310))) GT",fontsize=16,color="black",shape="box"];384 -> 395[label="",style="solid", color="black", weight=3]; 10.36/4.27 385[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (primMulInt (Neg vx400) (Neg vx310))) GT",fontsize=16,color="black",shape="box"];385 -> 396[label="",style="solid", color="black", weight=3]; 10.36/4.27 386[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Pos vx400) (Pos vx310))) GT",fontsize=16,color="black",shape="box"];386 -> 397[label="",style="solid", color="black", weight=3]; 10.36/4.27 387[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Pos vx400) (Neg vx310))) GT",fontsize=16,color="black",shape="box"];387 -> 398[label="",style="solid", color="black", weight=3]; 10.36/4.27 388[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Neg vx400) (Pos vx310))) GT",fontsize=16,color="black",shape="box"];388 -> 399[label="",style="solid", color="black", weight=3]; 10.36/4.27 389[label="esEsOrdering (primCmpInt (Neg Zero) (primMulInt (Neg vx400) (Neg vx310))) GT",fontsize=16,color="black",shape="box"];389 -> 400[label="",style="solid", color="black", weight=3]; 10.36/4.27 339[label="vx3000",fontsize=16,color="green",shape="box"];340[label="Succ vx4100",fontsize=16,color="green",shape="box"];341[label="primPlusNat (Succ vx140) (Succ vx4100)",fontsize=16,color="black",shape="box"];341 -> 368[label="",style="solid", color="black", weight=3]; 10.36/4.27 342[label="primPlusNat Zero (Succ vx4100)",fontsize=16,color="black",shape="box"];342 -> 369[label="",style="solid", color="black", weight=3]; 10.36/4.27 360 -> 372[label="",style="dashed", color="red", weight=0]; 10.36/4.27 360[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];360 -> 373[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 361 -> 379[label="",style="dashed", color="red", weight=0]; 10.36/4.27 361[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];361 -> 380[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 362 -> 379[label="",style="dashed", color="red", weight=0]; 10.36/4.27 362[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Neg (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];362 -> 381[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 363 -> 372[label="",style="dashed", color="red", weight=0]; 10.36/4.27 363[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Pos (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];363 -> 374[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 364 -> 390[label="",style="dashed", color="red", weight=0]; 10.36/4.27 364[label="esEsOrdering (primCmpInt (Pos Zero) (Pos (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];364 -> 391[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 365 -> 401[label="",style="dashed", color="red", weight=0]; 10.36/4.27 365[label="esEsOrdering (primCmpInt (Pos Zero) (Neg (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];365 -> 402[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 366 -> 401[label="",style="dashed", color="red", weight=0]; 10.36/4.27 366[label="esEsOrdering (primCmpInt (Pos Zero) (Neg (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];366 -> 403[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 367 -> 390[label="",style="dashed", color="red", weight=0]; 10.36/4.27 367[label="esEsOrdering (primCmpInt (Pos Zero) (Pos (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];367 -> 392[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 393 -> 404[label="",style="dashed", color="red", weight=0]; 10.36/4.27 393[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];393 -> 405[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 394 -> 407[label="",style="dashed", color="red", weight=0]; 10.36/4.27 394[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];394 -> 408[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 395 -> 407[label="",style="dashed", color="red", weight=0]; 10.36/4.27 395[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Neg (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];395 -> 409[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 396 -> 404[label="",style="dashed", color="red", weight=0]; 10.36/4.27 396[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Pos (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];396 -> 406[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 397 -> 410[label="",style="dashed", color="red", weight=0]; 10.36/4.27 397[label="esEsOrdering (primCmpInt (Neg Zero) (Pos (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];397 -> 411[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 398 -> 413[label="",style="dashed", color="red", weight=0]; 10.36/4.27 398[label="esEsOrdering (primCmpInt (Neg Zero) (Neg (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];398 -> 414[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 399 -> 413[label="",style="dashed", color="red", weight=0]; 10.36/4.27 399[label="esEsOrdering (primCmpInt (Neg Zero) (Neg (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];399 -> 415[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 400 -> 410[label="",style="dashed", color="red", weight=0]; 10.36/4.27 400[label="esEsOrdering (primCmpInt (Neg Zero) (Pos (primMulNat vx400 vx310))) GT",fontsize=16,color="magenta"];400 -> 412[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 368[label="Succ (Succ (primPlusNat vx140 vx4100))",fontsize=16,color="green",shape="box"];368 -> 416[label="",style="dashed", color="green", weight=3]; 10.36/4.27 369[label="Succ vx4100",fontsize=16,color="green",shape="box"];373 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 373[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];373 -> 417[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 373 -> 418[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 372[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Pos vx16)) GT",fontsize=16,color="black",shape="triangle"];372 -> 419[label="",style="solid", color="black", weight=3]; 10.36/4.27 380 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 380[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];380 -> 420[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 380 -> 421[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 379[label="esEsOrdering (primCmpInt (Pos (Succ vx100)) (Neg vx17)) GT",fontsize=16,color="black",shape="triangle"];379 -> 422[label="",style="solid", color="black", weight=3]; 10.36/4.27 381 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 381[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];381 -> 423[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 381 -> 424[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 374 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 374[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];374 -> 425[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 374 -> 426[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 391 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 391[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];391 -> 427[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 391 -> 428[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 390[label="esEsOrdering (primCmpInt (Pos Zero) (Pos vx18)) GT",fontsize=16,color="burlywood",shape="triangle"];555[label="vx18/Succ vx180",fontsize=10,color="white",style="solid",shape="box"];390 -> 555[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 555 -> 429[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 556[label="vx18/Zero",fontsize=10,color="white",style="solid",shape="box"];390 -> 556[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 556 -> 430[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 402 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 402[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];402 -> 431[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 402 -> 432[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 401[label="esEsOrdering (primCmpInt (Pos Zero) (Neg vx19)) GT",fontsize=16,color="burlywood",shape="triangle"];557[label="vx19/Succ vx190",fontsize=10,color="white",style="solid",shape="box"];401 -> 557[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 557 -> 433[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 558[label="vx19/Zero",fontsize=10,color="white",style="solid",shape="box"];401 -> 558[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 558 -> 434[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 403 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 403[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];403 -> 435[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 403 -> 436[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 392 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 392[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];392 -> 437[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 392 -> 438[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 405 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 405[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];405 -> 439[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 405 -> 440[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 404[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Pos vx20)) GT",fontsize=16,color="black",shape="triangle"];404 -> 441[label="",style="solid", color="black", weight=3]; 10.36/4.27 408 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 408[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];408 -> 442[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 408 -> 443[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 407[label="esEsOrdering (primCmpInt (Neg (Succ vx150)) (Neg vx21)) GT",fontsize=16,color="black",shape="triangle"];407 -> 444[label="",style="solid", color="black", weight=3]; 10.36/4.27 409 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 409[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];409 -> 445[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 409 -> 446[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 406 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 406[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];406 -> 447[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 406 -> 448[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 411 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 411[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];411 -> 449[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 411 -> 450[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 410[label="esEsOrdering (primCmpInt (Neg Zero) (Pos vx22)) GT",fontsize=16,color="burlywood",shape="triangle"];559[label="vx22/Succ vx220",fontsize=10,color="white",style="solid",shape="box"];410 -> 559[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 559 -> 451[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 560[label="vx22/Zero",fontsize=10,color="white",style="solid",shape="box"];410 -> 560[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 560 -> 452[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 414 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 414[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];414 -> 453[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 414 -> 454[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 413[label="esEsOrdering (primCmpInt (Neg Zero) (Neg vx23)) GT",fontsize=16,color="burlywood",shape="triangle"];561[label="vx23/Succ vx230",fontsize=10,color="white",style="solid",shape="box"];413 -> 561[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 561 -> 455[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 562[label="vx23/Zero",fontsize=10,color="white",style="solid",shape="box"];413 -> 562[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 562 -> 456[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 415 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 415[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];415 -> 457[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 415 -> 458[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 412 -> 268[label="",style="dashed", color="red", weight=0]; 10.36/4.27 412[label="primMulNat vx400 vx310",fontsize=16,color="magenta"];412 -> 459[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 412 -> 460[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 416[label="primPlusNat vx140 vx4100",fontsize=16,color="burlywood",shape="triangle"];563[label="vx140/Succ vx1400",fontsize=10,color="white",style="solid",shape="box"];416 -> 563[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 563 -> 461[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 564[label="vx140/Zero",fontsize=10,color="white",style="solid",shape="box"];416 -> 564[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 564 -> 462[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 417[label="vx400",fontsize=16,color="green",shape="box"];418[label="vx310",fontsize=16,color="green",shape="box"];419[label="esEsOrdering (primCmpNat (Succ vx100) vx16) GT",fontsize=16,color="burlywood",shape="triangle"];565[label="vx16/Succ vx160",fontsize=10,color="white",style="solid",shape="box"];419 -> 565[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 565 -> 463[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 566[label="vx16/Zero",fontsize=10,color="white",style="solid",shape="box"];419 -> 566[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 566 -> 464[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 420[label="vx400",fontsize=16,color="green",shape="box"];421[label="vx310",fontsize=16,color="green",shape="box"];422[label="esEsOrdering GT GT",fontsize=16,color="black",shape="triangle"];422 -> 465[label="",style="solid", color="black", weight=3]; 10.36/4.27 423[label="vx400",fontsize=16,color="green",shape="box"];424[label="vx310",fontsize=16,color="green",shape="box"];425[label="vx400",fontsize=16,color="green",shape="box"];426[label="vx310",fontsize=16,color="green",shape="box"];427[label="vx400",fontsize=16,color="green",shape="box"];428[label="vx310",fontsize=16,color="green",shape="box"];429[label="esEsOrdering (primCmpInt (Pos Zero) (Pos (Succ vx180))) GT",fontsize=16,color="black",shape="box"];429 -> 466[label="",style="solid", color="black", weight=3]; 10.36/4.27 430[label="esEsOrdering (primCmpInt (Pos Zero) (Pos Zero)) GT",fontsize=16,color="black",shape="box"];430 -> 467[label="",style="solid", color="black", weight=3]; 10.36/4.27 431[label="vx400",fontsize=16,color="green",shape="box"];432[label="vx310",fontsize=16,color="green",shape="box"];433[label="esEsOrdering (primCmpInt (Pos Zero) (Neg (Succ vx190))) GT",fontsize=16,color="black",shape="box"];433 -> 468[label="",style="solid", color="black", weight=3]; 10.36/4.27 434[label="esEsOrdering (primCmpInt (Pos Zero) (Neg Zero)) GT",fontsize=16,color="black",shape="box"];434 -> 469[label="",style="solid", color="black", weight=3]; 10.36/4.27 435[label="vx400",fontsize=16,color="green",shape="box"];436[label="vx310",fontsize=16,color="green",shape="box"];437[label="vx400",fontsize=16,color="green",shape="box"];438[label="vx310",fontsize=16,color="green",shape="box"];439[label="vx400",fontsize=16,color="green",shape="box"];440[label="vx310",fontsize=16,color="green",shape="box"];441[label="esEsOrdering LT GT",fontsize=16,color="black",shape="triangle"];441 -> 470[label="",style="solid", color="black", weight=3]; 10.36/4.27 442[label="vx400",fontsize=16,color="green",shape="box"];443[label="vx310",fontsize=16,color="green",shape="box"];444[label="esEsOrdering (primCmpNat vx21 (Succ vx150)) GT",fontsize=16,color="burlywood",shape="triangle"];567[label="vx21/Succ vx210",fontsize=10,color="white",style="solid",shape="box"];444 -> 567[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 567 -> 471[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 568[label="vx21/Zero",fontsize=10,color="white",style="solid",shape="box"];444 -> 568[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 568 -> 472[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 445[label="vx400",fontsize=16,color="green",shape="box"];446[label="vx310",fontsize=16,color="green",shape="box"];447[label="vx400",fontsize=16,color="green",shape="box"];448[label="vx310",fontsize=16,color="green",shape="box"];449[label="vx400",fontsize=16,color="green",shape="box"];450[label="vx310",fontsize=16,color="green",shape="box"];451[label="esEsOrdering (primCmpInt (Neg Zero) (Pos (Succ vx220))) GT",fontsize=16,color="black",shape="box"];451 -> 473[label="",style="solid", color="black", weight=3]; 10.36/4.27 452[label="esEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) GT",fontsize=16,color="black",shape="box"];452 -> 474[label="",style="solid", color="black", weight=3]; 10.36/4.27 453[label="vx400",fontsize=16,color="green",shape="box"];454[label="vx310",fontsize=16,color="green",shape="box"];455[label="esEsOrdering (primCmpInt (Neg Zero) (Neg (Succ vx230))) GT",fontsize=16,color="black",shape="box"];455 -> 475[label="",style="solid", color="black", weight=3]; 10.36/4.27 456[label="esEsOrdering (primCmpInt (Neg Zero) (Neg Zero)) GT",fontsize=16,color="black",shape="box"];456 -> 476[label="",style="solid", color="black", weight=3]; 10.36/4.27 457[label="vx400",fontsize=16,color="green",shape="box"];458[label="vx310",fontsize=16,color="green",shape="box"];459[label="vx400",fontsize=16,color="green",shape="box"];460[label="vx310",fontsize=16,color="green",shape="box"];461[label="primPlusNat (Succ vx1400) vx4100",fontsize=16,color="burlywood",shape="box"];569[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];461 -> 569[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 569 -> 477[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 570[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];461 -> 570[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 570 -> 478[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 462[label="primPlusNat Zero vx4100",fontsize=16,color="burlywood",shape="box"];571[label="vx4100/Succ vx41000",fontsize=10,color="white",style="solid",shape="box"];462 -> 571[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 571 -> 479[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 572[label="vx4100/Zero",fontsize=10,color="white",style="solid",shape="box"];462 -> 572[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 572 -> 480[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 463[label="esEsOrdering (primCmpNat (Succ vx100) (Succ vx160)) GT",fontsize=16,color="black",shape="box"];463 -> 481[label="",style="solid", color="black", weight=3]; 10.36/4.27 464[label="esEsOrdering (primCmpNat (Succ vx100) Zero) GT",fontsize=16,color="black",shape="box"];464 -> 482[label="",style="solid", color="black", weight=3]; 10.36/4.27 465[label="MyTrue",fontsize=16,color="green",shape="box"];466 -> 444[label="",style="dashed", color="red", weight=0]; 10.36/4.27 466[label="esEsOrdering (primCmpNat Zero (Succ vx180)) GT",fontsize=16,color="magenta"];466 -> 483[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 466 -> 484[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 467[label="esEsOrdering EQ GT",fontsize=16,color="black",shape="triangle"];467 -> 485[label="",style="solid", color="black", weight=3]; 10.36/4.27 468 -> 422[label="",style="dashed", color="red", weight=0]; 10.36/4.27 468[label="esEsOrdering GT GT",fontsize=16,color="magenta"];469 -> 467[label="",style="dashed", color="red", weight=0]; 10.36/4.27 469[label="esEsOrdering EQ GT",fontsize=16,color="magenta"];470[label="MyFalse",fontsize=16,color="green",shape="box"];471[label="esEsOrdering (primCmpNat (Succ vx210) (Succ vx150)) GT",fontsize=16,color="black",shape="box"];471 -> 486[label="",style="solid", color="black", weight=3]; 10.36/4.27 472[label="esEsOrdering (primCmpNat Zero (Succ vx150)) GT",fontsize=16,color="black",shape="box"];472 -> 487[label="",style="solid", color="black", weight=3]; 10.36/4.27 473 -> 441[label="",style="dashed", color="red", weight=0]; 10.36/4.27 473[label="esEsOrdering LT GT",fontsize=16,color="magenta"];474 -> 467[label="",style="dashed", color="red", weight=0]; 10.36/4.27 474[label="esEsOrdering EQ GT",fontsize=16,color="magenta"];475 -> 419[label="",style="dashed", color="red", weight=0]; 10.36/4.27 475[label="esEsOrdering (primCmpNat (Succ vx230) Zero) GT",fontsize=16,color="magenta"];475 -> 488[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 475 -> 489[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 476 -> 467[label="",style="dashed", color="red", weight=0]; 10.36/4.27 476[label="esEsOrdering EQ GT",fontsize=16,color="magenta"];477[label="primPlusNat (Succ vx1400) (Succ vx41000)",fontsize=16,color="black",shape="box"];477 -> 490[label="",style="solid", color="black", weight=3]; 10.36/4.27 478[label="primPlusNat (Succ vx1400) Zero",fontsize=16,color="black",shape="box"];478 -> 491[label="",style="solid", color="black", weight=3]; 10.36/4.27 479[label="primPlusNat Zero (Succ vx41000)",fontsize=16,color="black",shape="box"];479 -> 492[label="",style="solid", color="black", weight=3]; 10.36/4.27 480[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];480 -> 493[label="",style="solid", color="black", weight=3]; 10.36/4.27 481[label="esEsOrdering (primCmpNat vx100 vx160) GT",fontsize=16,color="burlywood",shape="triangle"];573[label="vx100/Succ vx1000",fontsize=10,color="white",style="solid",shape="box"];481 -> 573[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 573 -> 494[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 574[label="vx100/Zero",fontsize=10,color="white",style="solid",shape="box"];481 -> 574[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 574 -> 495[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 482 -> 422[label="",style="dashed", color="red", weight=0]; 10.36/4.27 482[label="esEsOrdering GT GT",fontsize=16,color="magenta"];483[label="vx180",fontsize=16,color="green",shape="box"];484[label="Zero",fontsize=16,color="green",shape="box"];485[label="MyFalse",fontsize=16,color="green",shape="box"];486 -> 481[label="",style="dashed", color="red", weight=0]; 10.36/4.27 486[label="esEsOrdering (primCmpNat vx210 vx150) GT",fontsize=16,color="magenta"];486 -> 496[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 486 -> 497[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 487 -> 441[label="",style="dashed", color="red", weight=0]; 10.36/4.27 487[label="esEsOrdering LT GT",fontsize=16,color="magenta"];488[label="Zero",fontsize=16,color="green",shape="box"];489[label="vx230",fontsize=16,color="green",shape="box"];490[label="Succ (Succ (primPlusNat vx1400 vx41000))",fontsize=16,color="green",shape="box"];490 -> 498[label="",style="dashed", color="green", weight=3]; 10.36/4.27 491[label="Succ vx1400",fontsize=16,color="green",shape="box"];492[label="Succ vx41000",fontsize=16,color="green",shape="box"];493[label="Zero",fontsize=16,color="green",shape="box"];494[label="esEsOrdering (primCmpNat (Succ vx1000) vx160) GT",fontsize=16,color="burlywood",shape="box"];575[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];494 -> 575[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 575 -> 499[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 576[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];494 -> 576[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 576 -> 500[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 495[label="esEsOrdering (primCmpNat Zero vx160) GT",fontsize=16,color="burlywood",shape="box"];577[label="vx160/Succ vx1600",fontsize=10,color="white",style="solid",shape="box"];495 -> 577[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 577 -> 501[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 578[label="vx160/Zero",fontsize=10,color="white",style="solid",shape="box"];495 -> 578[label="",style="solid", color="burlywood", weight=9]; 10.36/4.27 578 -> 502[label="",style="solid", color="burlywood", weight=3]; 10.36/4.27 496[label="vx210",fontsize=16,color="green",shape="box"];497[label="vx150",fontsize=16,color="green",shape="box"];498 -> 416[label="",style="dashed", color="red", weight=0]; 10.36/4.27 498[label="primPlusNat vx1400 vx41000",fontsize=16,color="magenta"];498 -> 503[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 498 -> 504[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 499[label="esEsOrdering (primCmpNat (Succ vx1000) (Succ vx1600)) GT",fontsize=16,color="black",shape="box"];499 -> 505[label="",style="solid", color="black", weight=3]; 10.36/4.27 500[label="esEsOrdering (primCmpNat (Succ vx1000) Zero) GT",fontsize=16,color="black",shape="box"];500 -> 506[label="",style="solid", color="black", weight=3]; 10.36/4.27 501[label="esEsOrdering (primCmpNat Zero (Succ vx1600)) GT",fontsize=16,color="black",shape="box"];501 -> 507[label="",style="solid", color="black", weight=3]; 10.36/4.27 502[label="esEsOrdering (primCmpNat Zero Zero) GT",fontsize=16,color="black",shape="box"];502 -> 508[label="",style="solid", color="black", weight=3]; 10.36/4.27 503[label="vx1400",fontsize=16,color="green",shape="box"];504[label="vx41000",fontsize=16,color="green",shape="box"];505 -> 481[label="",style="dashed", color="red", weight=0]; 10.36/4.27 505[label="esEsOrdering (primCmpNat vx1000 vx1600) GT",fontsize=16,color="magenta"];505 -> 509[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 505 -> 510[label="",style="dashed", color="magenta", weight=3]; 10.36/4.27 506 -> 422[label="",style="dashed", color="red", weight=0]; 10.36/4.27 506[label="esEsOrdering GT GT",fontsize=16,color="magenta"];507 -> 441[label="",style="dashed", color="red", weight=0]; 10.36/4.27 507[label="esEsOrdering LT GT",fontsize=16,color="magenta"];508 -> 467[label="",style="dashed", color="red", weight=0]; 10.36/4.27 508[label="esEsOrdering EQ GT",fontsize=16,color="magenta"];509[label="vx1000",fontsize=16,color="green",shape="box"];510[label="vx1600",fontsize=16,color="green",shape="box"];} 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (6) 10.36/4.27 Complex Obligation (AND) 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (7) 10.36/4.27 Obligation: 10.36/4.27 Q DP problem: 10.36/4.27 The TRS P consists of the following rules: 10.36/4.27 10.36/4.27 new_primMulNat(Main.Succ(vx3000), Main.Succ(vx4100)) -> new_primMulNat(vx3000, Main.Succ(vx4100)) 10.36/4.27 10.36/4.27 R is empty. 10.36/4.27 Q is empty. 10.36/4.27 We have to consider all minimal (P,Q,R)-chains. 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (8) QDPSizeChangeProof (EQUIVALENT) 10.36/4.27 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. 10.36/4.27 10.36/4.27 From the DPs we obtained the following set of size-change graphs: 10.36/4.27 *new_primMulNat(Main.Succ(vx3000), Main.Succ(vx4100)) -> new_primMulNat(vx3000, Main.Succ(vx4100)) 10.36/4.27 The graph contains the following edges 1 > 1, 2 >= 2 10.36/4.27 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (9) 10.36/4.27 YES 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (10) 10.36/4.27 Obligation: 10.36/4.27 Q DP problem: 10.36/4.27 The TRS P consists of the following rules: 10.36/4.27 10.36/4.27 new_esEsOrdering(Main.Succ(vx1000), Main.Succ(vx1600)) -> new_esEsOrdering(vx1000, vx1600) 10.36/4.27 10.36/4.27 R is empty. 10.36/4.27 Q is empty. 10.36/4.27 We have to consider all minimal (P,Q,R)-chains. 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (11) QDPSizeChangeProof (EQUIVALENT) 10.36/4.27 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. 10.36/4.27 10.36/4.27 From the DPs we obtained the following set of size-change graphs: 10.36/4.27 *new_esEsOrdering(Main.Succ(vx1000), Main.Succ(vx1600)) -> new_esEsOrdering(vx1000, vx1600) 10.36/4.27 The graph contains the following edges 1 > 1, 2 > 2 10.36/4.27 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (12) 10.36/4.27 YES 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (13) 10.36/4.27 Obligation: 10.36/4.27 Q DP problem: 10.36/4.27 The TRS P consists of the following rules: 10.36/4.27 10.36/4.27 new_primPlusNat(Main.Succ(vx1400), Main.Succ(vx41000)) -> new_primPlusNat(vx1400, vx41000) 10.36/4.27 10.36/4.27 R is empty. 10.36/4.27 Q is empty. 10.36/4.27 We have to consider all minimal (P,Q,R)-chains. 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (14) QDPSizeChangeProof (EQUIVALENT) 10.36/4.27 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. 10.36/4.27 10.36/4.27 From the DPs we obtained the following set of size-change graphs: 10.36/4.27 *new_primPlusNat(Main.Succ(vx1400), Main.Succ(vx41000)) -> new_primPlusNat(vx1400, vx41000) 10.36/4.27 The graph contains the following edges 1 > 1, 2 > 2 10.36/4.27 10.36/4.27 10.36/4.27 ---------------------------------------- 10.36/4.27 10.36/4.27 (15) 10.36/4.27 YES 10.47/4.34 EOF