8.85/4.00	YES
10.82/4.55	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
10.82/4.55	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
10.82/4.55	
10.82/4.55	
10.82/4.55	H-Termination with start terms of the given HASKELL could be proven:
10.82/4.55	
10.82/4.55	(0) HASKELL
10.82/4.55	(1) BR [EQUIVALENT, 0 ms]
10.82/4.55	(2) HASKELL
10.82/4.55	(3) COR [EQUIVALENT, 0 ms]
10.82/4.55	(4) HASKELL
10.82/4.55	(5) Narrow [SOUND, 0 ms]
10.82/4.55	(6) QDP
10.82/4.55	(7) QDPSizeChangeProof [EQUIVALENT, 0 ms]
10.82/4.55	(8) YES
10.82/4.55	
10.82/4.55	
10.82/4.55	----------------------------------------
10.82/4.55	
10.82/4.55	(0)
10.82/4.55	Obligation:
10.82/4.55	mainModule Main 
10.82/4.55	module Main where {
10.82/4.55	import qualified Prelude;
10.82/4.55	data Float = Float MyInt MyInt ;
10.82/4.55	
10.82/4.55	data MyBool = MyTrue  | MyFalse ;
10.82/4.55	
10.82/4.55	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.82/4.55	
10.82/4.55	data Main.Nat = Succ Main.Nat  | Zero ;
10.82/4.55	
10.82/4.55	data Ordering = LT  | EQ  | GT ;
10.82/4.55	
10.82/4.55	absFloat :: Float  ->  Float;
10.82/4.55	absFloat = absReal;
10.82/4.55	
10.82/4.55	absReal x = absReal2 x;
10.82/4.55	
10.82/4.55	absReal0 x MyTrue = negateFloat x;
10.82/4.55	
10.82/4.55	absReal1 x MyTrue = x;
10.82/4.55	absReal1 x MyFalse = absReal0 x otherwise;
10.82/4.55	
10.82/4.55	absReal2 x = absReal1 x (gtEsFloat x (fromIntFloat (Main.Pos Main.Zero)));
10.82/4.55	
10.82/4.55	compareFloat :: Float  ->  Float  ->  Ordering;
10.82/4.55	compareFloat = primCmpFloat;
10.82/4.55	
10.82/4.55	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.82/4.55	compareMyInt = primCmpInt;
10.82/4.55	
10.82/4.55	fromIntFloat :: MyInt  ->  Float;
10.82/4.55	fromIntFloat = primIntToFloat;
10.82/4.55	
10.82/4.55	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.82/4.55	fsEsOrdering LT LT = MyFalse;
10.82/4.55	fsEsOrdering EQ EQ = MyFalse;
10.82/4.55	fsEsOrdering GT GT = MyFalse;
10.82/4.55	fsEsOrdering _ _ = MyTrue;
10.82/4.55	
10.82/4.55	gtEsFloat :: Float  ->  Float  ->  MyBool;
10.82/4.55	gtEsFloat x y = fsEsOrdering (compareFloat x y) LT;
10.82/4.55	
10.82/4.55	negateFloat :: Float  ->  Float;
10.82/4.55	negateFloat = primNegFloat;
10.82/4.55	
10.82/4.55	negateMyInt :: MyInt  ->  MyInt;
10.82/4.55	negateMyInt = primNegInt;
10.82/4.55	
10.82/4.55	otherwise :: MyBool;
10.82/4.55	otherwise = MyTrue;
10.82/4.55	
10.82/4.55	primCmpFloat :: Float  ->  Float  ->  Ordering;
10.82/4.55	primCmpFloat (Float x1 x2) (Float y1 y2) = compareMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.82/4.55	
10.82/4.55	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.82/4.55	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.82/4.55	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.82/4.55	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.82/4.55	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.82/4.55	
10.82/4.55	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.82/4.55	primCmpNat Main.Zero Main.Zero = EQ;
10.82/4.55	primCmpNat Main.Zero (Main.Succ y) = LT;
10.82/4.55	primCmpNat (Main.Succ x) Main.Zero = GT;
10.82/4.55	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.82/4.55	
10.82/4.55	primIntToFloat :: MyInt  ->  Float;
10.82/4.55	primIntToFloat x = Float x (Main.Pos (Main.Succ Main.Zero));
10.82/4.55	
10.82/4.55	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.82/4.55	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.82/4.55	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.82/4.55	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.82/4.55	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.82/4.55	
10.82/4.55	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.82/4.55	primMulNat Main.Zero Main.Zero = Main.Zero;
10.82/4.55	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.82/4.55	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.82/4.55	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.82/4.55	
10.82/4.55	primNegFloat :: Float  ->  Float;
10.82/4.55	primNegFloat (Float x1 x2) = Float (negateMyInt x1) x2;
10.82/4.55	
10.82/4.55	primNegInt :: MyInt  ->  MyInt;
10.82/4.55	primNegInt (Main.Pos x) = Main.Neg x;
10.82/4.55	primNegInt (Main.Neg x) = Main.Pos x;
10.82/4.55	
10.82/4.55	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.82/4.55	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.82/4.55	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.82/4.55	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.82/4.55	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.82/4.55	
10.82/4.55	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.82/4.55	srMyInt = primMulInt;
10.82/4.55	
10.82/4.55	}
10.82/4.55	
10.82/4.55	----------------------------------------
10.82/4.55	
10.82/4.55	(1) BR (EQUIVALENT)
10.82/4.55	Replaced joker patterns by fresh variables and removed binding patterns.
10.82/4.55	----------------------------------------
10.82/4.55	
10.82/4.55	(2)
10.82/4.55	Obligation:
10.82/4.55	mainModule Main 
10.82/4.55	module Main where {
10.82/4.55	import qualified Prelude;
10.82/4.55	data Float = Float MyInt MyInt ;
10.82/4.55	
10.82/4.55	data MyBool = MyTrue  | MyFalse ;
10.82/4.55	
10.82/4.55	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.82/4.55	
10.82/4.55	data Main.Nat = Succ Main.Nat  | Zero ;
10.82/4.55	
10.82/4.55	data Ordering = LT  | EQ  | GT ;
10.82/4.55	
10.82/4.55	absFloat :: Float  ->  Float;
10.82/4.55	absFloat = absReal;
10.82/4.55	
10.82/4.55	absReal x = absReal2 x;
10.82/4.55	
10.82/4.55	absReal0 x MyTrue = negateFloat x;
10.82/4.55	
10.82/4.55	absReal1 x MyTrue = x;
10.82/4.55	absReal1 x MyFalse = absReal0 x otherwise;
10.82/4.55	
10.82/4.55	absReal2 x = absReal1 x (gtEsFloat x (fromIntFloat (Main.Pos Main.Zero)));
10.82/4.55	
10.82/4.55	compareFloat :: Float  ->  Float  ->  Ordering;
10.82/4.55	compareFloat = primCmpFloat;
10.82/4.55	
10.82/4.55	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.82/4.55	compareMyInt = primCmpInt;
10.82/4.55	
10.82/4.55	fromIntFloat :: MyInt  ->  Float;
10.82/4.55	fromIntFloat = primIntToFloat;
10.82/4.55	
10.82/4.55	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.82/4.55	fsEsOrdering LT LT = MyFalse;
10.82/4.55	fsEsOrdering EQ EQ = MyFalse;
10.82/4.55	fsEsOrdering GT GT = MyFalse;
10.82/4.55	fsEsOrdering vx vy = MyTrue;
10.82/4.55	
10.82/4.55	gtEsFloat :: Float  ->  Float  ->  MyBool;
10.82/4.55	gtEsFloat x y = fsEsOrdering (compareFloat x y) LT;
10.82/4.55	
10.82/4.55	negateFloat :: Float  ->  Float;
10.82/4.55	negateFloat = primNegFloat;
10.82/4.55	
10.82/4.55	negateMyInt :: MyInt  ->  MyInt;
10.82/4.55	negateMyInt = primNegInt;
10.82/4.55	
10.82/4.55	otherwise :: MyBool;
10.82/4.55	otherwise = MyTrue;
10.82/4.55	
10.82/4.55	primCmpFloat :: Float  ->  Float  ->  Ordering;
10.82/4.55	primCmpFloat (Float x1 x2) (Float y1 y2) = compareMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.82/4.55	
10.82/4.55	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.82/4.55	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.82/4.55	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.82/4.55	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.82/4.55	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.82/4.55	
10.82/4.55	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.82/4.55	primCmpNat Main.Zero Main.Zero = EQ;
10.82/4.55	primCmpNat Main.Zero (Main.Succ y) = LT;
10.82/4.55	primCmpNat (Main.Succ x) Main.Zero = GT;
10.82/4.55	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.82/4.55	
10.82/4.55	primIntToFloat :: MyInt  ->  Float;
10.82/4.55	primIntToFloat x = Float x (Main.Pos (Main.Succ Main.Zero));
10.82/4.55	
10.82/4.55	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.82/4.55	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.82/4.55	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.82/4.55	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.82/4.55	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.82/4.55	
10.82/4.55	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.82/4.55	primMulNat Main.Zero Main.Zero = Main.Zero;
10.82/4.55	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.82/4.55	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.82/4.55	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.82/4.55	
10.82/4.55	primNegFloat :: Float  ->  Float;
10.82/4.55	primNegFloat (Float x1 x2) = Float (negateMyInt x1) x2;
10.82/4.55	
10.82/4.55	primNegInt :: MyInt  ->  MyInt;
10.82/4.55	primNegInt (Main.Pos x) = Main.Neg x;
10.82/4.55	primNegInt (Main.Neg x) = Main.Pos x;
10.82/4.55	
10.82/4.55	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.82/4.55	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.82/4.55	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.82/4.55	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.82/4.55	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.82/4.55	
10.82/4.55	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.82/4.55	srMyInt = primMulInt;
10.82/4.55	
10.82/4.55	}
10.82/4.55	
10.82/4.55	----------------------------------------
10.82/4.55	
10.82/4.55	(3) COR (EQUIVALENT)
10.82/4.55	Cond Reductions:
10.82/4.55	The following Function with conditions
10.82/4.55	"undefined |Falseundefined;
10.82/4.55	"
10.82/4.55	is transformed to
10.82/4.55	"undefined  = undefined1;
10.82/4.55	"
10.82/4.55	"undefined0 True = undefined;
10.82/4.55	"
10.82/4.55	"undefined1  = undefined0 False;
10.82/4.55	"
10.82/4.55	
10.82/4.55	----------------------------------------
10.82/4.55	
10.82/4.55	(4)
10.82/4.55	Obligation:
10.82/4.55	mainModule Main 
10.82/4.55	module Main where {
10.82/4.55	import qualified Prelude;
10.82/4.55	data Float = Float MyInt MyInt ;
10.82/4.55	
10.82/4.55	data MyBool = MyTrue  | MyFalse ;
10.82/4.55	
10.82/4.55	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
10.82/4.55	
10.82/4.55	data Main.Nat = Succ Main.Nat  | Zero ;
10.82/4.55	
10.82/4.55	data Ordering = LT  | EQ  | GT ;
10.82/4.55	
10.82/4.55	absFloat :: Float  ->  Float;
10.82/4.55	absFloat = absReal;
10.82/4.55	
10.82/4.55	absReal x = absReal2 x;
10.82/4.55	
10.82/4.55	absReal0 x MyTrue = negateFloat x;
10.82/4.55	
10.82/4.55	absReal1 x MyTrue = x;
10.82/4.55	absReal1 x MyFalse = absReal0 x otherwise;
10.82/4.55	
10.82/4.55	absReal2 x = absReal1 x (gtEsFloat x (fromIntFloat (Main.Pos Main.Zero)));
10.82/4.55	
10.82/4.55	compareFloat :: Float  ->  Float  ->  Ordering;
10.82/4.55	compareFloat = primCmpFloat;
10.82/4.55	
10.82/4.55	compareMyInt :: MyInt  ->  MyInt  ->  Ordering;
10.82/4.55	compareMyInt = primCmpInt;
10.82/4.55	
10.82/4.55	fromIntFloat :: MyInt  ->  Float;
10.82/4.55	fromIntFloat = primIntToFloat;
10.82/4.55	
10.82/4.55	fsEsOrdering :: Ordering  ->  Ordering  ->  MyBool;
10.82/4.55	fsEsOrdering LT LT = MyFalse;
10.82/4.55	fsEsOrdering EQ EQ = MyFalse;
10.82/4.55	fsEsOrdering GT GT = MyFalse;
10.82/4.55	fsEsOrdering vx vy = MyTrue;
10.82/4.55	
10.82/4.55	gtEsFloat :: Float  ->  Float  ->  MyBool;
10.82/4.55	gtEsFloat x y = fsEsOrdering (compareFloat x y) LT;
10.82/4.55	
10.82/4.55	negateFloat :: Float  ->  Float;
10.82/4.55	negateFloat = primNegFloat;
10.82/4.55	
10.82/4.55	negateMyInt :: MyInt  ->  MyInt;
10.82/4.55	negateMyInt = primNegInt;
10.82/4.55	
10.82/4.55	otherwise :: MyBool;
10.82/4.55	otherwise = MyTrue;
10.82/4.55	
10.82/4.55	primCmpFloat :: Float  ->  Float  ->  Ordering;
10.82/4.55	primCmpFloat (Float x1 x2) (Float y1 y2) = compareMyInt (srMyInt x1 y1) (srMyInt x2 y2);
10.82/4.55	
10.82/4.55	primCmpInt :: MyInt  ->  MyInt  ->  Ordering;
10.82/4.55	primCmpInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = EQ;
10.82/4.55	primCmpInt (Main.Pos x) (Main.Pos y) = primCmpNat x y;
10.82/4.55	primCmpInt (Main.Pos x) (Main.Neg y) = GT;
10.82/4.55	primCmpInt (Main.Neg x) (Main.Pos y) = LT;
10.82/4.55	primCmpInt (Main.Neg x) (Main.Neg y) = primCmpNat y x;
10.82/4.55	
10.82/4.55	primCmpNat :: Main.Nat  ->  Main.Nat  ->  Ordering;
10.82/4.55	primCmpNat Main.Zero Main.Zero = EQ;
10.82/4.55	primCmpNat Main.Zero (Main.Succ y) = LT;
10.82/4.55	primCmpNat (Main.Succ x) Main.Zero = GT;
10.82/4.55	primCmpNat (Main.Succ x) (Main.Succ y) = primCmpNat x y;
10.82/4.55	
10.82/4.55	primIntToFloat :: MyInt  ->  Float;
10.82/4.55	primIntToFloat x = Float x (Main.Pos (Main.Succ Main.Zero));
10.82/4.55	
10.82/4.55	primMulInt :: MyInt  ->  MyInt  ->  MyInt;
10.82/4.55	primMulInt (Main.Pos x) (Main.Pos y) = Main.Pos (primMulNat x y);
10.82/4.55	primMulInt (Main.Pos x) (Main.Neg y) = Main.Neg (primMulNat x y);
10.82/4.55	primMulInt (Main.Neg x) (Main.Pos y) = Main.Neg (primMulNat x y);
10.82/4.55	primMulInt (Main.Neg x) (Main.Neg y) = Main.Pos (primMulNat x y);
10.82/4.55	
10.82/4.55	primMulNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.82/4.55	primMulNat Main.Zero Main.Zero = Main.Zero;
10.82/4.55	primMulNat Main.Zero (Main.Succ y) = Main.Zero;
10.82/4.55	primMulNat (Main.Succ x) Main.Zero = Main.Zero;
10.82/4.55	primMulNat (Main.Succ x) (Main.Succ y) = primPlusNat (primMulNat x (Main.Succ y)) (Main.Succ y);
10.82/4.55	
10.82/4.55	primNegFloat :: Float  ->  Float;
10.82/4.55	primNegFloat (Float x1 x2) = Float (negateMyInt x1) x2;
10.82/4.55	
10.82/4.55	primNegInt :: MyInt  ->  MyInt;
10.82/4.55	primNegInt (Main.Pos x) = Main.Neg x;
10.82/4.55	primNegInt (Main.Neg x) = Main.Pos x;
10.82/4.55	
10.82/4.55	primPlusNat :: Main.Nat  ->  Main.Nat  ->  Main.Nat;
10.82/4.55	primPlusNat Main.Zero Main.Zero = Main.Zero;
10.82/4.55	primPlusNat Main.Zero (Main.Succ y) = Main.Succ y;
10.82/4.55	primPlusNat (Main.Succ x) Main.Zero = Main.Succ x;
10.82/4.55	primPlusNat (Main.Succ x) (Main.Succ y) = Main.Succ (Main.Succ (primPlusNat x y));
10.82/4.55	
10.82/4.55	srMyInt :: MyInt  ->  MyInt  ->  MyInt;
10.82/4.55	srMyInt = primMulInt;
10.82/4.55	
10.82/4.55	}
10.82/4.55	
10.82/4.55	----------------------------------------
10.82/4.55	
10.82/4.55	(5) Narrow (SOUND)
10.82/4.55	Haskell To QDPs
10.82/4.55	
10.82/4.55	digraph dp_graph {
10.82/4.55	node [outthreshold=100, inthreshold=100];1[label="absFloat",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
10.82/4.55	3[label="absFloat vz3",fontsize=16,color="black",shape="triangle"];3 -> 4[label="",style="solid", color="black", weight=3];
10.82/4.55	4[label="absReal vz3",fontsize=16,color="black",shape="box"];4 -> 5[label="",style="solid", color="black", weight=3];
10.82/4.55	5[label="absReal2 vz3",fontsize=16,color="black",shape="box"];5 -> 6[label="",style="solid", color="black", weight=3];
10.82/4.55	6[label="absReal1 vz3 (gtEsFloat vz3 (fromIntFloat (Pos Zero)))",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
10.82/4.55	7[label="absReal1 vz3 (fsEsOrdering (compareFloat vz3 (fromIntFloat (Pos Zero))) LT)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
10.82/4.55	8[label="absReal1 vz3 (fsEsOrdering (primCmpFloat vz3 (fromIntFloat (Pos Zero))) LT)",fontsize=16,color="burlywood",shape="box"];1113[label="vz3/Float vz30 vz31",fontsize=10,color="white",style="solid",shape="box"];8 -> 1113[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1113 -> 9[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	9[label="absReal1 (Float vz30 vz31) (fsEsOrdering (primCmpFloat (Float vz30 vz31) (fromIntFloat (Pos Zero))) LT)",fontsize=16,color="black",shape="box"];9 -> 10[label="",style="solid", color="black", weight=3];
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10.82/4.55	67 -> 705[label="",style="dashed", color="red", weight=0];
10.82/4.55	67[label="absReal1 (Float (Pos Zero) (Pos (Succ vz3100))) (fsEsOrdering (primCmpInt (Pos Zero) (Pos (primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)))) LT)",fontsize=16,color="magenta"];67 -> 706[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	67 -> 707[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	68[label="absReal1 (Float (Pos Zero) (Pos Zero)) (fsEsOrdering (primCmpInt (Pos Zero) (Pos Zero)) LT)",fontsize=16,color="black",shape="box"];68 -> 87[label="",style="solid", color="black", weight=3];
10.82/4.55	69 -> 735[label="",style="dashed", color="red", weight=0];
10.82/4.55	69[label="absReal1 (Float (Pos Zero) (Neg (Succ vz3100))) (fsEsOrdering (primCmpInt (Pos Zero) (Neg (primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)))) LT)",fontsize=16,color="magenta"];69 -> 736[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	69 -> 737[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	70[label="absReal1 (Float (Pos Zero) (Neg Zero)) (fsEsOrdering (primCmpInt (Pos Zero) (Neg Zero)) LT)",fontsize=16,color="black",shape="box"];70 -> 90[label="",style="solid", color="black", weight=3];
10.82/4.55	71 -> 794[label="",style="dashed", color="red", weight=0];
10.82/4.55	71[label="absReal1 (Float (Neg (Succ vz3000)) (Pos (Succ vz3100))) (fsEsOrdering (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)))) LT)",fontsize=16,color="magenta"];71 -> 795[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	71 -> 796[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	71 -> 797[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	72[label="absReal1 (Float (Neg (Succ vz3000)) (Pos Zero)) (fsEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) LT)",fontsize=16,color="black",shape="box"];72 -> 93[label="",style="solid", color="black", weight=3];
10.82/4.55	73 -> 876[label="",style="dashed", color="red", weight=0];
10.82/4.55	73[label="absReal1 (Float (Neg (Succ vz3000)) (Neg (Succ vz3100))) (fsEsOrdering (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)))) LT)",fontsize=16,color="magenta"];73 -> 877[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	73 -> 878[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	73 -> 879[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	74[label="absReal1 (Float (Neg (Succ vz3000)) (Neg Zero)) (fsEsOrdering (primCmpInt (Neg Zero) (Neg Zero)) LT)",fontsize=16,color="black",shape="box"];74 -> 96[label="",style="solid", color="black", weight=3];
10.82/4.55	75 -> 959[label="",style="dashed", color="red", weight=0];
10.82/4.55	75[label="absReal1 (Float (Neg Zero) (Pos (Succ vz3100))) (fsEsOrdering (primCmpInt (Neg Zero) (Pos (primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)))) LT)",fontsize=16,color="magenta"];75 -> 960[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	75 -> 961[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	76[label="absReal1 (Float (Neg Zero) (Pos Zero)) (fsEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) LT)",fontsize=16,color="black",shape="box"];76 -> 99[label="",style="solid", color="black", weight=3];
10.82/4.55	77 -> 1018[label="",style="dashed", color="red", weight=0];
10.82/4.55	77[label="absReal1 (Float (Neg Zero) (Neg (Succ vz3100))) (fsEsOrdering (primCmpInt (Neg Zero) (Neg (primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)))) LT)",fontsize=16,color="magenta"];77 -> 1019[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	77 -> 1020[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	78[label="absReal1 (Float (Neg Zero) (Neg Zero)) (fsEsOrdering (primCmpInt (Neg Zero) (Neg Zero)) LT)",fontsize=16,color="black",shape="box"];78 -> 102[label="",style="solid", color="black", weight=3];
10.82/4.55	663[label="vz3100",fontsize=16,color="green",shape="box"];664 -> 650[label="",style="dashed", color="red", weight=0];
10.82/4.55	664[label="primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];664 -> 678[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	665[label="vz3000",fontsize=16,color="green",shape="box"];662[label="absReal1 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) (fsEsOrdering (primCmpInt (Pos Zero) (Pos vz45)) LT)",fontsize=16,color="burlywood",shape="triangle"];1144[label="vz45/Succ vz450",fontsize=10,color="white",style="solid",shape="box"];662 -> 1144[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1144 -> 679[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1145[label="vz45/Zero",fontsize=10,color="white",style="solid",shape="box"];662 -> 1145[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1145 -> 680[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	81[label="absReal1 (Float (Pos (Succ vz3000)) (Pos Zero)) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];81 -> 105[label="",style="solid", color="black", weight=3];
10.82/4.55	682[label="vz3000",fontsize=16,color="green",shape="box"];683[label="vz3100",fontsize=16,color="green",shape="box"];684 -> 650[label="",style="dashed", color="red", weight=0];
10.82/4.55	684[label="primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];684 -> 697[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	681[label="absReal1 (Float (Pos (Succ vz10)) (Neg (Succ vz11))) (fsEsOrdering (primCmpInt (Pos Zero) (Neg vz46)) LT)",fontsize=16,color="burlywood",shape="triangle"];1146[label="vz46/Succ vz460",fontsize=10,color="white",style="solid",shape="box"];681 -> 1146[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1146 -> 698[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1147[label="vz46/Zero",fontsize=10,color="white",style="solid",shape="box"];681 -> 1147[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1147 -> 699[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	84[label="absReal1 (Float (Pos (Succ vz3000)) (Neg Zero)) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];84 -> 108[label="",style="solid", color="black", weight=3];
10.82/4.55	706[label="vz3100",fontsize=16,color="green",shape="box"];707 -> 650[label="",style="dashed", color="red", weight=0];
10.82/4.55	707[label="primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];707 -> 717[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	705[label="absReal1 (Float (Pos Zero) (Pos (Succ vz16))) (fsEsOrdering (primCmpInt (Pos Zero) (Pos vz47)) LT)",fontsize=16,color="burlywood",shape="triangle"];1148[label="vz47/Succ vz470",fontsize=10,color="white",style="solid",shape="box"];705 -> 1148[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1148 -> 718[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1149[label="vz47/Zero",fontsize=10,color="white",style="solid",shape="box"];705 -> 1149[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1149 -> 719[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	87[label="absReal1 (Float (Pos Zero) (Pos Zero)) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];87 -> 111[label="",style="solid", color="black", weight=3];
10.82/4.55	736[label="vz3100",fontsize=16,color="green",shape="box"];737 -> 650[label="",style="dashed", color="red", weight=0];
10.82/4.55	737[label="primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];737 -> 781[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	735[label="absReal1 (Float (Pos Zero) (Neg (Succ vz18))) (fsEsOrdering (primCmpInt (Pos Zero) (Neg vz48)) LT)",fontsize=16,color="burlywood",shape="triangle"];1150[label="vz48/Succ vz480",fontsize=10,color="white",style="solid",shape="box"];735 -> 1150[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1150 -> 782[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1151[label="vz48/Zero",fontsize=10,color="white",style="solid",shape="box"];735 -> 1151[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1151 -> 783[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	90[label="absReal1 (Float (Pos Zero) (Neg Zero)) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];90 -> 114[label="",style="solid", color="black", weight=3];
10.82/4.55	795[label="vz3000",fontsize=16,color="green",shape="box"];796[label="vz3100",fontsize=16,color="green",shape="box"];797 -> 650[label="",style="dashed", color="red", weight=0];
10.82/4.55	797[label="primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];797 -> 862[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	794[label="absReal1 (Float (Neg (Succ vz22)) (Pos (Succ vz23))) (fsEsOrdering (primCmpInt (Neg Zero) (Pos vz53)) LT)",fontsize=16,color="burlywood",shape="triangle"];1152[label="vz53/Succ vz530",fontsize=10,color="white",style="solid",shape="box"];794 -> 1152[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1152 -> 863[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1153[label="vz53/Zero",fontsize=10,color="white",style="solid",shape="box"];794 -> 1153[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1153 -> 864[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	93[label="absReal1 (Float (Neg (Succ vz3000)) (Pos Zero)) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];93 -> 117[label="",style="solid", color="black", weight=3];
10.82/4.55	877 -> 650[label="",style="dashed", color="red", weight=0];
10.82/4.55	877[label="primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];877 -> 944[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	878[label="vz3100",fontsize=16,color="green",shape="box"];879[label="vz3000",fontsize=16,color="green",shape="box"];876[label="absReal1 (Float (Neg (Succ vz28)) (Neg (Succ vz29))) (fsEsOrdering (primCmpInt (Neg Zero) (Neg vz58)) LT)",fontsize=16,color="burlywood",shape="triangle"];1154[label="vz58/Succ vz580",fontsize=10,color="white",style="solid",shape="box"];876 -> 1154[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1154 -> 945[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1155[label="vz58/Zero",fontsize=10,color="white",style="solid",shape="box"];876 -> 1155[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1155 -> 946[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	96[label="absReal1 (Float (Neg (Succ vz3000)) (Neg Zero)) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];96 -> 120[label="",style="solid", color="black", weight=3];
10.82/4.55	960[label="vz3100",fontsize=16,color="green",shape="box"];961 -> 650[label="",style="dashed", color="red", weight=0];
10.82/4.55	961[label="primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];961 -> 1005[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	959[label="absReal1 (Float (Neg Zero) (Pos (Succ vz34))) (fsEsOrdering (primCmpInt (Neg Zero) (Pos vz63)) LT)",fontsize=16,color="burlywood",shape="triangle"];1156[label="vz63/Succ vz630",fontsize=10,color="white",style="solid",shape="box"];959 -> 1156[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1156 -> 1006[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1157[label="vz63/Zero",fontsize=10,color="white",style="solid",shape="box"];959 -> 1157[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1157 -> 1007[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	99[label="absReal1 (Float (Neg Zero) (Pos Zero)) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];99 -> 123[label="",style="solid", color="black", weight=3];
10.82/4.55	1019[label="vz3100",fontsize=16,color="green",shape="box"];1020 -> 650[label="",style="dashed", color="red", weight=0];
10.82/4.55	1020[label="primPlusNat (primMulNat vz3100 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];1020 -> 1064[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	1018[label="absReal1 (Float (Neg Zero) (Neg (Succ vz38))) (fsEsOrdering (primCmpInt (Neg Zero) (Neg vz68)) LT)",fontsize=16,color="burlywood",shape="triangle"];1158[label="vz68/Succ vz680",fontsize=10,color="white",style="solid",shape="box"];1018 -> 1158[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1158 -> 1065[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1159[label="vz68/Zero",fontsize=10,color="white",style="solid",shape="box"];1018 -> 1159[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1159 -> 1066[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	102[label="absReal1 (Float (Neg Zero) (Neg Zero)) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];102 -> 126[label="",style="solid", color="black", weight=3];
10.82/4.55	678 -> 524[label="",style="dashed", color="red", weight=0];
10.82/4.55	678[label="primMulNat vz3100 (Succ Zero)",fontsize=16,color="magenta"];678 -> 700[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	650[label="primPlusNat vz44 (Succ Zero)",fontsize=16,color="burlywood",shape="triangle"];1160[label="vz44/Succ vz440",fontsize=10,color="white",style="solid",shape="box"];650 -> 1160[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1160 -> 701[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1161[label="vz44/Zero",fontsize=10,color="white",style="solid",shape="box"];650 -> 1161[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1161 -> 702[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	679[label="absReal1 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) (fsEsOrdering (primCmpInt (Pos Zero) (Pos (Succ vz450))) LT)",fontsize=16,color="black",shape="box"];679 -> 703[label="",style="solid", color="black", weight=3];
10.82/4.55	680[label="absReal1 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) (fsEsOrdering (primCmpInt (Pos Zero) (Pos Zero)) LT)",fontsize=16,color="black",shape="box"];680 -> 704[label="",style="solid", color="black", weight=3];
10.82/4.55	105[label="absReal1 (Float (Pos (Succ vz3000)) (Pos Zero)) MyTrue",fontsize=16,color="black",shape="box"];105 -> 130[label="",style="solid", color="black", weight=3];
10.82/4.55	697 -> 524[label="",style="dashed", color="red", weight=0];
10.82/4.55	697[label="primMulNat vz3100 (Succ Zero)",fontsize=16,color="magenta"];697 -> 720[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	698[label="absReal1 (Float (Pos (Succ vz10)) (Neg (Succ vz11))) (fsEsOrdering (primCmpInt (Pos Zero) (Neg (Succ vz460))) LT)",fontsize=16,color="black",shape="box"];698 -> 721[label="",style="solid", color="black", weight=3];
10.82/4.55	699[label="absReal1 (Float (Pos (Succ vz10)) (Neg (Succ vz11))) (fsEsOrdering (primCmpInt (Pos Zero) (Neg Zero)) LT)",fontsize=16,color="black",shape="box"];699 -> 722[label="",style="solid", color="black", weight=3];
10.82/4.55	108[label="absReal1 (Float (Pos (Succ vz3000)) (Neg Zero)) MyTrue",fontsize=16,color="black",shape="box"];108 -> 134[label="",style="solid", color="black", weight=3];
10.82/4.55	717 -> 524[label="",style="dashed", color="red", weight=0];
10.82/4.55	717[label="primMulNat vz3100 (Succ Zero)",fontsize=16,color="magenta"];717 -> 784[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	718[label="absReal1 (Float (Pos Zero) (Pos (Succ vz16))) (fsEsOrdering (primCmpInt (Pos Zero) (Pos (Succ vz470))) LT)",fontsize=16,color="black",shape="box"];718 -> 785[label="",style="solid", color="black", weight=3];
10.82/4.55	719[label="absReal1 (Float (Pos Zero) (Pos (Succ vz16))) (fsEsOrdering (primCmpInt (Pos Zero) (Pos Zero)) LT)",fontsize=16,color="black",shape="box"];719 -> 786[label="",style="solid", color="black", weight=3];
10.82/4.55	111[label="absReal1 (Float (Pos Zero) (Pos Zero)) MyTrue",fontsize=16,color="black",shape="box"];111 -> 138[label="",style="solid", color="black", weight=3];
10.82/4.55	781 -> 524[label="",style="dashed", color="red", weight=0];
10.82/4.55	781[label="primMulNat vz3100 (Succ Zero)",fontsize=16,color="magenta"];781 -> 865[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	782[label="absReal1 (Float (Pos Zero) (Neg (Succ vz18))) (fsEsOrdering (primCmpInt (Pos Zero) (Neg (Succ vz480))) LT)",fontsize=16,color="black",shape="box"];782 -> 866[label="",style="solid", color="black", weight=3];
10.82/4.55	783[label="absReal1 (Float (Pos Zero) (Neg (Succ vz18))) (fsEsOrdering (primCmpInt (Pos Zero) (Neg Zero)) LT)",fontsize=16,color="black",shape="box"];783 -> 867[label="",style="solid", color="black", weight=3];
10.82/4.55	114[label="absReal1 (Float (Pos Zero) (Neg Zero)) MyTrue",fontsize=16,color="black",shape="box"];114 -> 142[label="",style="solid", color="black", weight=3];
10.82/4.55	862 -> 524[label="",style="dashed", color="red", weight=0];
10.82/4.55	862[label="primMulNat vz3100 (Succ Zero)",fontsize=16,color="magenta"];862 -> 947[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	863[label="absReal1 (Float (Neg (Succ vz22)) (Pos (Succ vz23))) (fsEsOrdering (primCmpInt (Neg Zero) (Pos (Succ vz530))) LT)",fontsize=16,color="black",shape="box"];863 -> 948[label="",style="solid", color="black", weight=3];
10.82/4.55	864[label="absReal1 (Float (Neg (Succ vz22)) (Pos (Succ vz23))) (fsEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) LT)",fontsize=16,color="black",shape="box"];864 -> 949[label="",style="solid", color="black", weight=3];
10.82/4.55	117[label="absReal1 (Float (Neg (Succ vz3000)) (Pos Zero)) MyTrue",fontsize=16,color="black",shape="box"];117 -> 146[label="",style="solid", color="black", weight=3];
10.82/4.55	944 -> 524[label="",style="dashed", color="red", weight=0];
10.82/4.55	944[label="primMulNat vz3100 (Succ Zero)",fontsize=16,color="magenta"];944 -> 1008[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	945[label="absReal1 (Float (Neg (Succ vz28)) (Neg (Succ vz29))) (fsEsOrdering (primCmpInt (Neg Zero) (Neg (Succ vz580))) LT)",fontsize=16,color="black",shape="box"];945 -> 1009[label="",style="solid", color="black", weight=3];
10.82/4.55	946[label="absReal1 (Float (Neg (Succ vz28)) (Neg (Succ vz29))) (fsEsOrdering (primCmpInt (Neg Zero) (Neg Zero)) LT)",fontsize=16,color="black",shape="box"];946 -> 1010[label="",style="solid", color="black", weight=3];
10.82/4.55	120[label="absReal1 (Float (Neg (Succ vz3000)) (Neg Zero)) MyTrue",fontsize=16,color="black",shape="box"];120 -> 150[label="",style="solid", color="black", weight=3];
10.82/4.55	1005 -> 524[label="",style="dashed", color="red", weight=0];
10.82/4.55	1005[label="primMulNat vz3100 (Succ Zero)",fontsize=16,color="magenta"];1005 -> 1067[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	1006[label="absReal1 (Float (Neg Zero) (Pos (Succ vz34))) (fsEsOrdering (primCmpInt (Neg Zero) (Pos (Succ vz630))) LT)",fontsize=16,color="black",shape="box"];1006 -> 1068[label="",style="solid", color="black", weight=3];
10.82/4.55	1007[label="absReal1 (Float (Neg Zero) (Pos (Succ vz34))) (fsEsOrdering (primCmpInt (Neg Zero) (Pos Zero)) LT)",fontsize=16,color="black",shape="box"];1007 -> 1069[label="",style="solid", color="black", weight=3];
10.82/4.55	123[label="absReal1 (Float (Neg Zero) (Pos Zero)) MyTrue",fontsize=16,color="black",shape="box"];123 -> 154[label="",style="solid", color="black", weight=3];
10.82/4.55	1064 -> 524[label="",style="dashed", color="red", weight=0];
10.82/4.55	1064[label="primMulNat vz3100 (Succ Zero)",fontsize=16,color="magenta"];1064 -> 1076[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	1065[label="absReal1 (Float (Neg Zero) (Neg (Succ vz38))) (fsEsOrdering (primCmpInt (Neg Zero) (Neg (Succ vz680))) LT)",fontsize=16,color="black",shape="box"];1065 -> 1077[label="",style="solid", color="black", weight=3];
10.82/4.55	1066[label="absReal1 (Float (Neg Zero) (Neg (Succ vz38))) (fsEsOrdering (primCmpInt (Neg Zero) (Neg Zero)) LT)",fontsize=16,color="black",shape="box"];1066 -> 1078[label="",style="solid", color="black", weight=3];
10.82/4.55	126[label="absReal1 (Float (Neg Zero) (Neg Zero)) MyTrue",fontsize=16,color="black",shape="box"];126 -> 158[label="",style="solid", color="black", weight=3];
10.82/4.55	700[label="vz3100",fontsize=16,color="green",shape="box"];524[label="primMulNat vz31000 (Succ Zero)",fontsize=16,color="burlywood",shape="triangle"];1162[label="vz31000/Succ vz310000",fontsize=10,color="white",style="solid",shape="box"];524 -> 1162[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1162 -> 562[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1163[label="vz31000/Zero",fontsize=10,color="white",style="solid",shape="box"];524 -> 1163[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1163 -> 563[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	701[label="primPlusNat (Succ vz440) (Succ Zero)",fontsize=16,color="black",shape="box"];701 -> 723[label="",style="solid", color="black", weight=3];
10.82/4.55	702[label="primPlusNat Zero (Succ Zero)",fontsize=16,color="black",shape="box"];702 -> 724[label="",style="solid", color="black", weight=3];
10.82/4.55	703[label="absReal1 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) (fsEsOrdering (primCmpNat Zero (Succ vz450)) LT)",fontsize=16,color="black",shape="box"];703 -> 725[label="",style="solid", color="black", weight=3];
10.82/4.55	704[label="absReal1 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];704 -> 726[label="",style="solid", color="black", weight=3];
10.82/4.55	130[label="Float (Pos (Succ vz3000)) (Pos Zero)",fontsize=16,color="green",shape="box"];720[label="vz3100",fontsize=16,color="green",shape="box"];721[label="absReal1 (Float (Pos (Succ vz10)) (Neg (Succ vz11))) (fsEsOrdering GT LT)",fontsize=16,color="black",shape="box"];721 -> 787[label="",style="solid", color="black", weight=3];
10.82/4.55	722[label="absReal1 (Float (Pos (Succ vz10)) (Neg (Succ vz11))) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];722 -> 788[label="",style="solid", color="black", weight=3];
10.82/4.55	134[label="Float (Pos (Succ vz3000)) (Neg Zero)",fontsize=16,color="green",shape="box"];784[label="vz3100",fontsize=16,color="green",shape="box"];785[label="absReal1 (Float (Pos Zero) (Pos (Succ vz16))) (fsEsOrdering (primCmpNat Zero (Succ vz470)) LT)",fontsize=16,color="black",shape="box"];785 -> 868[label="",style="solid", color="black", weight=3];
10.82/4.55	786[label="absReal1 (Float (Pos Zero) (Pos (Succ vz16))) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];786 -> 869[label="",style="solid", color="black", weight=3];
10.82/4.55	138[label="Float (Pos Zero) (Pos Zero)",fontsize=16,color="green",shape="box"];865[label="vz3100",fontsize=16,color="green",shape="box"];866[label="absReal1 (Float (Pos Zero) (Neg (Succ vz18))) (fsEsOrdering GT LT)",fontsize=16,color="black",shape="box"];866 -> 950[label="",style="solid", color="black", weight=3];
10.82/4.55	867[label="absReal1 (Float (Pos Zero) (Neg (Succ vz18))) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];867 -> 951[label="",style="solid", color="black", weight=3];
10.82/4.55	142[label="Float (Pos Zero) (Neg Zero)",fontsize=16,color="green",shape="box"];947[label="vz3100",fontsize=16,color="green",shape="box"];948[label="absReal1 (Float (Neg (Succ vz22)) (Pos (Succ vz23))) (fsEsOrdering LT LT)",fontsize=16,color="black",shape="box"];948 -> 1011[label="",style="solid", color="black", weight=3];
10.82/4.55	949[label="absReal1 (Float (Neg (Succ vz22)) (Pos (Succ vz23))) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];949 -> 1012[label="",style="solid", color="black", weight=3];
10.82/4.55	146[label="Float (Neg (Succ vz3000)) (Pos Zero)",fontsize=16,color="green",shape="box"];1008[label="vz3100",fontsize=16,color="green",shape="box"];1009[label="absReal1 (Float (Neg (Succ vz28)) (Neg (Succ vz29))) (fsEsOrdering (primCmpNat (Succ vz580) Zero) LT)",fontsize=16,color="black",shape="box"];1009 -> 1070[label="",style="solid", color="black", weight=3];
10.82/4.55	1010[label="absReal1 (Float (Neg (Succ vz28)) (Neg (Succ vz29))) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];1010 -> 1071[label="",style="solid", color="black", weight=3];
10.82/4.55	150[label="Float (Neg (Succ vz3000)) (Neg Zero)",fontsize=16,color="green",shape="box"];1067[label="vz3100",fontsize=16,color="green",shape="box"];1068[label="absReal1 (Float (Neg Zero) (Pos (Succ vz34))) (fsEsOrdering LT LT)",fontsize=16,color="black",shape="box"];1068 -> 1079[label="",style="solid", color="black", weight=3];
10.82/4.55	1069[label="absReal1 (Float (Neg Zero) (Pos (Succ vz34))) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];1069 -> 1080[label="",style="solid", color="black", weight=3];
10.82/4.55	154[label="Float (Neg Zero) (Pos Zero)",fontsize=16,color="green",shape="box"];1076[label="vz3100",fontsize=16,color="green",shape="box"];1077[label="absReal1 (Float (Neg Zero) (Neg (Succ vz38))) (fsEsOrdering (primCmpNat (Succ vz680) Zero) LT)",fontsize=16,color="black",shape="box"];1077 -> 1086[label="",style="solid", color="black", weight=3];
10.82/4.55	1078[label="absReal1 (Float (Neg Zero) (Neg (Succ vz38))) (fsEsOrdering EQ LT)",fontsize=16,color="black",shape="box"];1078 -> 1087[label="",style="solid", color="black", weight=3];
10.82/4.55	158[label="Float (Neg Zero) (Neg Zero)",fontsize=16,color="green",shape="box"];562[label="primMulNat (Succ vz310000) (Succ Zero)",fontsize=16,color="black",shape="box"];562 -> 612[label="",style="solid", color="black", weight=3];
10.82/4.55	563[label="primMulNat Zero (Succ Zero)",fontsize=16,color="black",shape="box"];563 -> 613[label="",style="solid", color="black", weight=3];
10.82/4.55	723[label="Succ (Succ (primPlusNat vz440 Zero))",fontsize=16,color="green",shape="box"];723 -> 789[label="",style="dashed", color="green", weight=3];
10.82/4.55	724[label="Succ Zero",fontsize=16,color="green",shape="box"];725[label="absReal1 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) (fsEsOrdering LT LT)",fontsize=16,color="black",shape="box"];725 -> 790[label="",style="solid", color="black", weight=3];
10.82/4.55	726[label="absReal1 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) MyTrue",fontsize=16,color="black",shape="box"];726 -> 791[label="",style="solid", color="black", weight=3];
10.82/4.55	787[label="absReal1 (Float (Pos (Succ vz10)) (Neg (Succ vz11))) MyTrue",fontsize=16,color="black",shape="triangle"];787 -> 870[label="",style="solid", color="black", weight=3];
10.82/4.55	788 -> 787[label="",style="dashed", color="red", weight=0];
10.82/4.55	788[label="absReal1 (Float (Pos (Succ vz10)) (Neg (Succ vz11))) MyTrue",fontsize=16,color="magenta"];868[label="absReal1 (Float (Pos Zero) (Pos (Succ vz16))) (fsEsOrdering LT LT)",fontsize=16,color="black",shape="box"];868 -> 952[label="",style="solid", color="black", weight=3];
10.82/4.55	869[label="absReal1 (Float (Pos Zero) (Pos (Succ vz16))) MyTrue",fontsize=16,color="black",shape="box"];869 -> 953[label="",style="solid", color="black", weight=3];
10.82/4.55	950[label="absReal1 (Float (Pos Zero) (Neg (Succ vz18))) MyTrue",fontsize=16,color="black",shape="triangle"];950 -> 1013[label="",style="solid", color="black", weight=3];
10.82/4.55	951 -> 950[label="",style="dashed", color="red", weight=0];
10.82/4.55	951[label="absReal1 (Float (Pos Zero) (Neg (Succ vz18))) MyTrue",fontsize=16,color="magenta"];1011[label="absReal1 (Float (Neg (Succ vz22)) (Pos (Succ vz23))) MyFalse",fontsize=16,color="black",shape="box"];1011 -> 1072[label="",style="solid", color="black", weight=3];
10.82/4.55	1012[label="absReal1 (Float (Neg (Succ vz22)) (Pos (Succ vz23))) MyTrue",fontsize=16,color="black",shape="box"];1012 -> 1073[label="",style="solid", color="black", weight=3];
10.82/4.55	1070[label="absReal1 (Float (Neg (Succ vz28)) (Neg (Succ vz29))) (fsEsOrdering GT LT)",fontsize=16,color="black",shape="box"];1070 -> 1081[label="",style="solid", color="black", weight=3];
10.82/4.55	1071[label="absReal1 (Float (Neg (Succ vz28)) (Neg (Succ vz29))) MyTrue",fontsize=16,color="black",shape="triangle"];1071 -> 1082[label="",style="solid", color="black", weight=3];
10.82/4.55	1079[label="absReal1 (Float (Neg Zero) (Pos (Succ vz34))) MyFalse",fontsize=16,color="black",shape="box"];1079 -> 1088[label="",style="solid", color="black", weight=3];
10.82/4.55	1080[label="absReal1 (Float (Neg Zero) (Pos (Succ vz34))) MyTrue",fontsize=16,color="black",shape="box"];1080 -> 1089[label="",style="solid", color="black", weight=3];
10.82/4.55	1086[label="absReal1 (Float (Neg Zero) (Neg (Succ vz38))) (fsEsOrdering GT LT)",fontsize=16,color="black",shape="box"];1086 -> 1093[label="",style="solid", color="black", weight=3];
10.82/4.55	1087[label="absReal1 (Float (Neg Zero) (Neg (Succ vz38))) MyTrue",fontsize=16,color="black",shape="triangle"];1087 -> 1094[label="",style="solid", color="black", weight=3];
10.82/4.55	612 -> 650[label="",style="dashed", color="red", weight=0];
10.82/4.55	612[label="primPlusNat (primMulNat vz310000 (Succ Zero)) (Succ Zero)",fontsize=16,color="magenta"];612 -> 651[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	613[label="Zero",fontsize=16,color="green",shape="box"];789[label="primPlusNat vz440 Zero",fontsize=16,color="burlywood",shape="box"];1164[label="vz440/Succ vz4400",fontsize=10,color="white",style="solid",shape="box"];789 -> 1164[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1164 -> 871[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	1165[label="vz440/Zero",fontsize=10,color="white",style="solid",shape="box"];789 -> 1165[label="",style="solid", color="burlywood", weight=9];
10.82/4.55	1165 -> 872[label="",style="solid", color="burlywood", weight=3];
10.82/4.55	790[label="absReal1 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) MyFalse",fontsize=16,color="black",shape="box"];790 -> 873[label="",style="solid", color="black", weight=3];
10.82/4.55	791[label="Float (Pos (Succ vz7)) (Pos (Succ vz8))",fontsize=16,color="green",shape="box"];870[label="Float (Pos (Succ vz10)) (Neg (Succ vz11))",fontsize=16,color="green",shape="box"];952[label="absReal1 (Float (Pos Zero) (Pos (Succ vz16))) MyFalse",fontsize=16,color="black",shape="box"];952 -> 1014[label="",style="solid", color="black", weight=3];
10.82/4.55	953[label="Float (Pos Zero) (Pos (Succ vz16))",fontsize=16,color="green",shape="box"];1013[label="Float (Pos Zero) (Neg (Succ vz18))",fontsize=16,color="green",shape="box"];1072[label="absReal0 (Float (Neg (Succ vz22)) (Pos (Succ vz23))) otherwise",fontsize=16,color="black",shape="box"];1072 -> 1083[label="",style="solid", color="black", weight=3];
10.82/4.55	1073[label="Float (Neg (Succ vz22)) (Pos (Succ vz23))",fontsize=16,color="green",shape="box"];1081 -> 1071[label="",style="dashed", color="red", weight=0];
10.82/4.55	1081[label="absReal1 (Float (Neg (Succ vz28)) (Neg (Succ vz29))) MyTrue",fontsize=16,color="magenta"];1082[label="Float (Neg (Succ vz28)) (Neg (Succ vz29))",fontsize=16,color="green",shape="box"];1088[label="absReal0 (Float (Neg Zero) (Pos (Succ vz34))) otherwise",fontsize=16,color="black",shape="box"];1088 -> 1095[label="",style="solid", color="black", weight=3];
10.82/4.55	1089[label="Float (Neg Zero) (Pos (Succ vz34))",fontsize=16,color="green",shape="box"];1093 -> 1087[label="",style="dashed", color="red", weight=0];
10.82/4.55	1093[label="absReal1 (Float (Neg Zero) (Neg (Succ vz38))) MyTrue",fontsize=16,color="magenta"];1094[label="Float (Neg Zero) (Neg (Succ vz38))",fontsize=16,color="green",shape="box"];651 -> 524[label="",style="dashed", color="red", weight=0];
10.82/4.55	651[label="primMulNat vz310000 (Succ Zero)",fontsize=16,color="magenta"];651 -> 727[label="",style="dashed", color="magenta", weight=3];
10.82/4.55	871[label="primPlusNat (Succ vz4400) Zero",fontsize=16,color="black",shape="box"];871 -> 954[label="",style="solid", color="black", weight=3];
10.82/4.55	872[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];872 -> 955[label="",style="solid", color="black", weight=3];
10.82/4.55	873[label="absReal0 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) otherwise",fontsize=16,color="black",shape="box"];873 -> 956[label="",style="solid", color="black", weight=3];
10.82/4.55	1014[label="absReal0 (Float (Pos Zero) (Pos (Succ vz16))) otherwise",fontsize=16,color="black",shape="box"];1014 -> 1074[label="",style="solid", color="black", weight=3];
10.82/4.55	1083[label="absReal0 (Float (Neg (Succ vz22)) (Pos (Succ vz23))) MyTrue",fontsize=16,color="black",shape="box"];1083 -> 1090[label="",style="solid", color="black", weight=3];
10.82/4.55	1095[label="absReal0 (Float (Neg Zero) (Pos (Succ vz34))) MyTrue",fontsize=16,color="black",shape="box"];1095 -> 1099[label="",style="solid", color="black", weight=3];
10.82/4.55	727[label="vz310000",fontsize=16,color="green",shape="box"];954[label="Succ vz4400",fontsize=16,color="green",shape="box"];955[label="Zero",fontsize=16,color="green",shape="box"];956[label="absReal0 (Float (Pos (Succ vz7)) (Pos (Succ vz8))) MyTrue",fontsize=16,color="black",shape="box"];956 -> 1015[label="",style="solid", color="black", weight=3];
10.82/4.55	1074[label="absReal0 (Float (Pos Zero) (Pos (Succ vz16))) MyTrue",fontsize=16,color="black",shape="box"];1074 -> 1084[label="",style="solid", color="black", weight=3];
10.82/4.55	1090[label="negateFloat (Float (Neg (Succ vz22)) (Pos (Succ vz23)))",fontsize=16,color="black",shape="box"];1090 -> 1096[label="",style="solid", color="black", weight=3];
10.82/4.55	1099[label="negateFloat (Float (Neg Zero) (Pos (Succ vz34)))",fontsize=16,color="black",shape="box"];1099 -> 1103[label="",style="solid", color="black", weight=3];
10.82/4.55	1015[label="negateFloat (Float (Pos (Succ vz7)) (Pos (Succ vz8)))",fontsize=16,color="black",shape="box"];1015 -> 1075[label="",style="solid", color="black", weight=3];
10.82/4.55	1084[label="negateFloat (Float (Pos Zero) (Pos (Succ vz16)))",fontsize=16,color="black",shape="box"];1084 -> 1091[label="",style="solid", color="black", weight=3];
10.82/4.55	1096[label="primNegFloat (Float (Neg (Succ vz22)) (Pos (Succ vz23)))",fontsize=16,color="black",shape="box"];1096 -> 1100[label="",style="solid", color="black", weight=3];
10.82/4.55	1103[label="primNegFloat (Float (Neg Zero) (Pos (Succ vz34)))",fontsize=16,color="black",shape="box"];1103 -> 1106[label="",style="solid", color="black", weight=3];
10.82/4.55	1075[label="primNegFloat (Float (Pos (Succ vz7)) (Pos (Succ vz8)))",fontsize=16,color="black",shape="box"];1075 -> 1085[label="",style="solid", color="black", weight=3];
10.82/4.55	1091[label="primNegFloat (Float (Pos Zero) (Pos (Succ vz16)))",fontsize=16,color="black",shape="box"];1091 -> 1097[label="",style="solid", color="black", weight=3];
10.82/4.55	1100[label="Float (negateMyInt (Neg (Succ vz22))) (Pos (Succ vz23))",fontsize=16,color="green",shape="box"];1100 -> 1104[label="",style="dashed", color="green", weight=3];
10.82/4.55	1106[label="Float (negateMyInt (Neg Zero)) (Pos (Succ vz34))",fontsize=16,color="green",shape="box"];1106 -> 1109[label="",style="dashed", color="green", weight=3];
10.82/4.55	1085[label="Float (negateMyInt (Pos (Succ vz7))) (Pos (Succ vz8))",fontsize=16,color="green",shape="box"];1085 -> 1092[label="",style="dashed", color="green", weight=3];
10.82/4.55	1097[label="Float (negateMyInt (Pos Zero)) (Pos (Succ vz16))",fontsize=16,color="green",shape="box"];1097 -> 1101[label="",style="dashed", color="green", weight=3];
10.82/4.55	1104[label="negateMyInt (Neg (Succ vz22))",fontsize=16,color="black",shape="box"];1104 -> 1107[label="",style="solid", color="black", weight=3];
10.82/4.55	1109[label="negateMyInt (Neg Zero)",fontsize=16,color="black",shape="box"];1109 -> 1111[label="",style="solid", color="black", weight=3];
10.82/4.55	1092[label="negateMyInt (Pos (Succ vz7))",fontsize=16,color="black",shape="box"];1092 -> 1098[label="",style="solid", color="black", weight=3];
10.82/4.55	1101[label="negateMyInt (Pos Zero)",fontsize=16,color="black",shape="box"];1101 -> 1105[label="",style="solid", color="black", weight=3];
10.82/4.55	1107[label="primNegInt (Neg (Succ vz22))",fontsize=16,color="black",shape="box"];1107 -> 1110[label="",style="solid", color="black", weight=3];
10.82/4.55	1111[label="primNegInt (Neg Zero)",fontsize=16,color="black",shape="box"];1111 -> 1112[label="",style="solid", color="black", weight=3];
10.82/4.55	1098[label="primNegInt (Pos (Succ vz7))",fontsize=16,color="black",shape="box"];1098 -> 1102[label="",style="solid", color="black", weight=3];
10.82/4.55	1105[label="primNegInt (Pos Zero)",fontsize=16,color="black",shape="box"];1105 -> 1108[label="",style="solid", color="black", weight=3];
10.82/4.55	1110[label="Pos (Succ vz22)",fontsize=16,color="green",shape="box"];1112[label="Pos Zero",fontsize=16,color="green",shape="box"];1102[label="Neg (Succ vz7)",fontsize=16,color="green",shape="box"];1108[label="Neg Zero",fontsize=16,color="green",shape="box"];}
10.82/4.55	
10.82/4.55	----------------------------------------
10.82/4.55	
10.82/4.55	(6)
10.82/4.55	Obligation:
10.82/4.55	Q DP problem:
10.82/4.55	The TRS P consists of the following rules:
10.82/4.55	
10.82/4.55	   new_primMulNat(Main.Succ(vz310000)) -> new_primMulNat(vz310000)
10.82/4.55	
10.82/4.55	R is empty.
10.82/4.55	Q is empty.
10.82/4.55	We have to consider all minimal (P,Q,R)-chains.
10.82/4.55	----------------------------------------
10.82/4.55	
10.82/4.55	(7) QDPSizeChangeProof (EQUIVALENT)
10.82/4.55	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. 
10.82/4.55	
10.82/4.55	From the DPs we obtained the following set of size-change graphs:
10.82/4.55	*new_primMulNat(Main.Succ(vz310000)) -> new_primMulNat(vz310000)
10.82/4.55	The graph contains the following edges 1 > 1
10.82/4.55	
10.82/4.55	
10.82/4.55	----------------------------------------
10.82/4.55	
10.82/4.55	(8)
10.82/4.55	YES
11.14/4.62	EOF