8.09/3.57	YES
9.86/4.07	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
9.86/4.07	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
9.86/4.07	
9.86/4.07	
9.86/4.07	H-Termination with start terms of the given HASKELL could be proven:
9.86/4.07	
9.86/4.07	(0) HASKELL
9.86/4.07	(1) BR [EQUIVALENT, 0 ms]
9.86/4.07	(2) HASKELL
9.86/4.07	(3) COR [EQUIVALENT, 0 ms]
9.86/4.07	(4) HASKELL
9.86/4.07	(5) Narrow [SOUND, 0 ms]
9.86/4.07	(6) AND
9.86/4.07	    (7) QDP
9.86/4.07	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.86/4.07	        (9) YES
9.86/4.07	    (10) QDP
9.86/4.07	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
9.86/4.07	        (12) YES
9.86/4.07	
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(0)
9.86/4.07	Obligation:
9.86/4.07	mainModule Main 
9.86/4.07	module Main where {
9.86/4.07	import qualified Prelude;
9.86/4.07	data MyBool = MyTrue  | MyFalse ;
9.86/4.07	
9.86/4.07	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.86/4.07	
9.86/4.07	data Main.Nat = Succ Main.Nat  | Zero ;
9.86/4.07	
9.86/4.07	data Ratio a = CnPc a a ;
9.86/4.07	
9.86/4.07	asAs :: MyBool  ->  MyBool  ->  MyBool;
9.86/4.07	asAs MyFalse x = MyFalse;
9.86/4.07	asAs MyTrue x = x;
9.86/4.07	
9.86/4.07	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
9.86/4.07	esEsMyInt = primEqInt;
9.86/4.07	
9.86/4.07	esEsRatio :: Ratio MyInt  ->  Ratio MyInt  ->  MyBool;
9.86/4.07	esEsRatio (CnPc x0 x1) (CnPc y0 y1) = asAs (esEsMyInt x0 y0) (esEsMyInt x1 y1);
9.86/4.07	
9.86/4.07	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
9.86/4.07	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
9.86/4.07	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
9.86/4.07	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.86/4.07	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.86/4.07	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.86/4.07	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.86/4.07	primEqInt vv vw = MyFalse;
9.86/4.07	
9.86/4.07	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
9.86/4.07	primEqNat Main.Zero Main.Zero = MyTrue;
9.86/4.07	primEqNat Main.Zero (Main.Succ y) = MyFalse;
9.86/4.07	primEqNat (Main.Succ x) Main.Zero = MyFalse;
9.86/4.07	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
9.86/4.07	
9.86/4.07	}
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(1) BR (EQUIVALENT)
9.86/4.07	Replaced joker patterns by fresh variables and removed binding patterns.
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(2)
9.86/4.07	Obligation:
9.86/4.07	mainModule Main 
9.86/4.07	module Main where {
9.86/4.07	import qualified Prelude;
9.86/4.07	data MyBool = MyTrue  | MyFalse ;
9.86/4.07	
9.86/4.07	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.86/4.07	
9.86/4.07	data Main.Nat = Succ Main.Nat  | Zero ;
9.86/4.07	
9.86/4.07	data Ratio a = CnPc a a ;
9.86/4.07	
9.86/4.07	asAs :: MyBool  ->  MyBool  ->  MyBool;
9.86/4.07	asAs MyFalse x = MyFalse;
9.86/4.07	asAs MyTrue x = x;
9.86/4.07	
9.86/4.07	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
9.86/4.07	esEsMyInt = primEqInt;
9.86/4.07	
9.86/4.07	esEsRatio :: Ratio MyInt  ->  Ratio MyInt  ->  MyBool;
9.86/4.07	esEsRatio (CnPc x0 x1) (CnPc y0 y1) = asAs (esEsMyInt x0 y0) (esEsMyInt x1 y1);
9.86/4.07	
9.86/4.07	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
9.86/4.07	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
9.86/4.07	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
9.86/4.07	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.86/4.07	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.86/4.07	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.86/4.07	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.86/4.07	primEqInt vv vw = MyFalse;
9.86/4.07	
9.86/4.07	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
9.86/4.07	primEqNat Main.Zero Main.Zero = MyTrue;
9.86/4.07	primEqNat Main.Zero (Main.Succ y) = MyFalse;
9.86/4.07	primEqNat (Main.Succ x) Main.Zero = MyFalse;
9.86/4.07	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
9.86/4.07	
9.86/4.07	}
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(3) COR (EQUIVALENT)
9.86/4.07	Cond Reductions:
9.86/4.07	The following Function with conditions
9.86/4.07	"undefined |Falseundefined;
9.86/4.07	"
9.86/4.07	is transformed to
9.86/4.07	"undefined  = undefined1;
9.86/4.07	"
9.86/4.07	"undefined0 True = undefined;
9.86/4.07	"
9.86/4.07	"undefined1  = undefined0 False;
9.86/4.07	"
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(4)
9.86/4.07	Obligation:
9.86/4.07	mainModule Main 
9.86/4.07	module Main where {
9.86/4.07	import qualified Prelude;
9.86/4.07	data MyBool = MyTrue  | MyFalse ;
9.86/4.07	
9.86/4.07	data MyInt = Pos Main.Nat  | Neg Main.Nat ;
9.86/4.07	
9.86/4.07	data Main.Nat = Succ Main.Nat  | Zero ;
9.86/4.07	
9.86/4.07	data Ratio a = CnPc a a ;
9.86/4.07	
9.86/4.07	asAs :: MyBool  ->  MyBool  ->  MyBool;
9.86/4.07	asAs MyFalse x = MyFalse;
9.86/4.07	asAs MyTrue x = x;
9.86/4.07	
9.86/4.07	esEsMyInt :: MyInt  ->  MyInt  ->  MyBool;
9.86/4.07	esEsMyInt = primEqInt;
9.86/4.07	
9.86/4.07	esEsRatio :: Ratio MyInt  ->  Ratio MyInt  ->  MyBool;
9.86/4.07	esEsRatio (CnPc x0 x1) (CnPc y0 y1) = asAs (esEsMyInt x0 y0) (esEsMyInt x1 y1);
9.86/4.07	
9.86/4.07	primEqInt :: MyInt  ->  MyInt  ->  MyBool;
9.86/4.07	primEqInt (Main.Pos (Main.Succ x)) (Main.Pos (Main.Succ y)) = primEqNat x y;
9.86/4.07	primEqInt (Main.Neg (Main.Succ x)) (Main.Neg (Main.Succ y)) = primEqNat x y;
9.86/4.07	primEqInt (Main.Pos Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.86/4.07	primEqInt (Main.Neg Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.86/4.07	primEqInt (Main.Neg Main.Zero) (Main.Neg Main.Zero) = MyTrue;
9.86/4.07	primEqInt (Main.Pos Main.Zero) (Main.Pos Main.Zero) = MyTrue;
9.86/4.07	primEqInt vv vw = MyFalse;
9.86/4.07	
9.86/4.07	primEqNat :: Main.Nat  ->  Main.Nat  ->  MyBool;
9.86/4.07	primEqNat Main.Zero Main.Zero = MyTrue;
9.86/4.07	primEqNat Main.Zero (Main.Succ y) = MyFalse;
9.86/4.07	primEqNat (Main.Succ x) Main.Zero = MyFalse;
9.86/4.07	primEqNat (Main.Succ x) (Main.Succ y) = primEqNat x y;
9.86/4.07	
9.86/4.07	}
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(5) Narrow (SOUND)
9.86/4.07	Haskell To QDPs
9.86/4.07	
9.86/4.07	digraph dp_graph {
9.86/4.07	node [outthreshold=100, inthreshold=100];1[label="esEsRatio",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
9.86/4.07	3[label="esEsRatio vz3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
9.86/4.07	4[label="esEsRatio vz3 vz4",fontsize=16,color="burlywood",shape="triangle"];120[label="vz3/CnPc vz30 vz31",fontsize=10,color="white",style="solid",shape="box"];4 -> 120[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	120 -> 5[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	5[label="esEsRatio (CnPc vz30 vz31) vz4",fontsize=16,color="burlywood",shape="box"];121[label="vz4/CnPc vz40 vz41",fontsize=10,color="white",style="solid",shape="box"];5 -> 121[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	121 -> 6[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	6[label="esEsRatio (CnPc vz30 vz31) (CnPc vz40 vz41)",fontsize=16,color="black",shape="box"];6 -> 7[label="",style="solid", color="black", weight=3];
9.86/4.07	7[label="asAs (esEsMyInt vz30 vz40) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];7 -> 8[label="",style="solid", color="black", weight=3];
9.86/4.07	8[label="asAs (primEqInt vz30 vz40) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];122[label="vz30/Pos vz300",fontsize=10,color="white",style="solid",shape="box"];8 -> 122[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	122 -> 9[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	123[label="vz30/Neg vz300",fontsize=10,color="white",style="solid",shape="box"];8 -> 123[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	123 -> 10[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	9[label="asAs (primEqInt (Pos vz300) vz40) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];124[label="vz300/Succ vz3000",fontsize=10,color="white",style="solid",shape="box"];9 -> 124[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	124 -> 11[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	125[label="vz300/Zero",fontsize=10,color="white",style="solid",shape="box"];9 -> 125[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	125 -> 12[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	10[label="asAs (primEqInt (Neg vz300) vz40) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];126[label="vz300/Succ vz3000",fontsize=10,color="white",style="solid",shape="box"];10 -> 126[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	126 -> 13[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	127[label="vz300/Zero",fontsize=10,color="white",style="solid",shape="box"];10 -> 127[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	127 -> 14[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	11[label="asAs (primEqInt (Pos (Succ vz3000)) vz40) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];128[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];11 -> 128[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	128 -> 15[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	129[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];11 -> 129[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	129 -> 16[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	12[label="asAs (primEqInt (Pos Zero) vz40) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];130[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];12 -> 130[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	130 -> 17[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	131[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];12 -> 131[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	131 -> 18[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	13[label="asAs (primEqInt (Neg (Succ vz3000)) vz40) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];132[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];13 -> 132[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	132 -> 19[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	133[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];13 -> 133[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	133 -> 20[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	14[label="asAs (primEqInt (Neg Zero) vz40) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];134[label="vz40/Pos vz400",fontsize=10,color="white",style="solid",shape="box"];14 -> 134[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	134 -> 21[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	135[label="vz40/Neg vz400",fontsize=10,color="white",style="solid",shape="box"];14 -> 135[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	135 -> 22[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	15[label="asAs (primEqInt (Pos (Succ vz3000)) (Pos vz400)) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];136[label="vz400/Succ vz4000",fontsize=10,color="white",style="solid",shape="box"];15 -> 136[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	136 -> 23[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	137[label="vz400/Zero",fontsize=10,color="white",style="solid",shape="box"];15 -> 137[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	137 -> 24[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	16[label="asAs (primEqInt (Pos (Succ vz3000)) (Neg vz400)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];16 -> 25[label="",style="solid", color="black", weight=3];
9.86/4.07	17[label="asAs (primEqInt (Pos Zero) (Pos vz400)) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];138[label="vz400/Succ vz4000",fontsize=10,color="white",style="solid",shape="box"];17 -> 138[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	138 -> 26[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	139[label="vz400/Zero",fontsize=10,color="white",style="solid",shape="box"];17 -> 139[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	139 -> 27[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	18[label="asAs (primEqInt (Pos Zero) (Neg vz400)) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];140[label="vz400/Succ vz4000",fontsize=10,color="white",style="solid",shape="box"];18 -> 140[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	140 -> 28[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	141[label="vz400/Zero",fontsize=10,color="white",style="solid",shape="box"];18 -> 141[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	141 -> 29[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	19[label="asAs (primEqInt (Neg (Succ vz3000)) (Pos vz400)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];19 -> 30[label="",style="solid", color="black", weight=3];
9.86/4.07	20[label="asAs (primEqInt (Neg (Succ vz3000)) (Neg vz400)) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];142[label="vz400/Succ vz4000",fontsize=10,color="white",style="solid",shape="box"];20 -> 142[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	142 -> 31[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	143[label="vz400/Zero",fontsize=10,color="white",style="solid",shape="box"];20 -> 143[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	143 -> 32[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	21[label="asAs (primEqInt (Neg Zero) (Pos vz400)) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];144[label="vz400/Succ vz4000",fontsize=10,color="white",style="solid",shape="box"];21 -> 144[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	144 -> 33[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	145[label="vz400/Zero",fontsize=10,color="white",style="solid",shape="box"];21 -> 145[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	145 -> 34[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	22[label="asAs (primEqInt (Neg Zero) (Neg vz400)) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];146[label="vz400/Succ vz4000",fontsize=10,color="white",style="solid",shape="box"];22 -> 146[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	146 -> 35[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	147[label="vz400/Zero",fontsize=10,color="white",style="solid",shape="box"];22 -> 147[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	147 -> 36[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	23[label="asAs (primEqInt (Pos (Succ vz3000)) (Pos (Succ vz4000))) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];23 -> 37[label="",style="solid", color="black", weight=3];
9.86/4.07	24[label="asAs (primEqInt (Pos (Succ vz3000)) (Pos Zero)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];24 -> 38[label="",style="solid", color="black", weight=3];
9.86/4.07	25[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="triangle"];25 -> 39[label="",style="solid", color="black", weight=3];
9.86/4.07	26[label="asAs (primEqInt (Pos Zero) (Pos (Succ vz4000))) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];26 -> 40[label="",style="solid", color="black", weight=3];
9.86/4.07	27[label="asAs (primEqInt (Pos Zero) (Pos Zero)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];27 -> 41[label="",style="solid", color="black", weight=3];
9.86/4.07	28[label="asAs (primEqInt (Pos Zero) (Neg (Succ vz4000))) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];28 -> 42[label="",style="solid", color="black", weight=3];
9.86/4.07	29[label="asAs (primEqInt (Pos Zero) (Neg Zero)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];29 -> 43[label="",style="solid", color="black", weight=3];
9.86/4.07	30 -> 25[label="",style="dashed", color="red", weight=0];
9.86/4.07	30[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];31[label="asAs (primEqInt (Neg (Succ vz3000)) (Neg (Succ vz4000))) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];31 -> 44[label="",style="solid", color="black", weight=3];
9.86/4.07	32[label="asAs (primEqInt (Neg (Succ vz3000)) (Neg Zero)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];32 -> 45[label="",style="solid", color="black", weight=3];
9.86/4.07	33[label="asAs (primEqInt (Neg Zero) (Pos (Succ vz4000))) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];33 -> 46[label="",style="solid", color="black", weight=3];
9.86/4.07	34[label="asAs (primEqInt (Neg Zero) (Pos Zero)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];34 -> 47[label="",style="solid", color="black", weight=3];
9.86/4.07	35[label="asAs (primEqInt (Neg Zero) (Neg (Succ vz4000))) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];35 -> 48[label="",style="solid", color="black", weight=3];
9.86/4.07	36[label="asAs (primEqInt (Neg Zero) (Neg Zero)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];36 -> 49[label="",style="solid", color="black", weight=3];
9.86/4.07	37[label="asAs (primEqNat vz3000 vz4000) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="triangle"];148[label="vz3000/Succ vz30000",fontsize=10,color="white",style="solid",shape="box"];37 -> 148[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	148 -> 50[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	149[label="vz3000/Zero",fontsize=10,color="white",style="solid",shape="box"];37 -> 149[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	149 -> 51[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	38 -> 25[label="",style="dashed", color="red", weight=0];
9.86/4.07	38[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];39[label="MyFalse",fontsize=16,color="green",shape="box"];40 -> 25[label="",style="dashed", color="red", weight=0];
9.86/4.07	40[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];41[label="asAs MyTrue (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="triangle"];41 -> 52[label="",style="solid", color="black", weight=3];
9.86/4.07	42 -> 25[label="",style="dashed", color="red", weight=0];
9.86/4.07	42[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];43 -> 41[label="",style="dashed", color="red", weight=0];
9.86/4.07	43[label="asAs MyTrue (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];44 -> 37[label="",style="dashed", color="red", weight=0];
9.86/4.07	44[label="asAs (primEqNat vz3000 vz4000) (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];44 -> 53[label="",style="dashed", color="magenta", weight=3];
9.86/4.07	44 -> 54[label="",style="dashed", color="magenta", weight=3];
9.86/4.07	45 -> 25[label="",style="dashed", color="red", weight=0];
9.86/4.07	45[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];46 -> 25[label="",style="dashed", color="red", weight=0];
9.86/4.07	46[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];47 -> 41[label="",style="dashed", color="red", weight=0];
9.86/4.07	47[label="asAs MyTrue (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];48 -> 25[label="",style="dashed", color="red", weight=0];
9.86/4.07	48[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];49 -> 41[label="",style="dashed", color="red", weight=0];
9.86/4.07	49[label="asAs MyTrue (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];50[label="asAs (primEqNat (Succ vz30000) vz4000) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];150[label="vz4000/Succ vz40000",fontsize=10,color="white",style="solid",shape="box"];50 -> 150[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	150 -> 55[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	151[label="vz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];50 -> 151[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	151 -> 56[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	51[label="asAs (primEqNat Zero vz4000) (esEsMyInt vz31 vz41)",fontsize=16,color="burlywood",shape="box"];152[label="vz4000/Succ vz40000",fontsize=10,color="white",style="solid",shape="box"];51 -> 152[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	152 -> 57[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	153[label="vz4000/Zero",fontsize=10,color="white",style="solid",shape="box"];51 -> 153[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	153 -> 58[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	52[label="esEsMyInt vz31 vz41",fontsize=16,color="black",shape="box"];52 -> 59[label="",style="solid", color="black", weight=3];
9.86/4.07	53[label="vz3000",fontsize=16,color="green",shape="box"];54[label="vz4000",fontsize=16,color="green",shape="box"];55[label="asAs (primEqNat (Succ vz30000) (Succ vz40000)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];55 -> 60[label="",style="solid", color="black", weight=3];
9.86/4.07	56[label="asAs (primEqNat (Succ vz30000) Zero) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];56 -> 61[label="",style="solid", color="black", weight=3];
9.86/4.07	57[label="asAs (primEqNat Zero (Succ vz40000)) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];57 -> 62[label="",style="solid", color="black", weight=3];
9.86/4.07	58[label="asAs (primEqNat Zero Zero) (esEsMyInt vz31 vz41)",fontsize=16,color="black",shape="box"];58 -> 63[label="",style="solid", color="black", weight=3];
9.86/4.07	59[label="primEqInt vz31 vz41",fontsize=16,color="burlywood",shape="box"];154[label="vz31/Pos vz310",fontsize=10,color="white",style="solid",shape="box"];59 -> 154[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	154 -> 64[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	155[label="vz31/Neg vz310",fontsize=10,color="white",style="solid",shape="box"];59 -> 155[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	155 -> 65[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	60 -> 37[label="",style="dashed", color="red", weight=0];
9.86/4.07	60[label="asAs (primEqNat vz30000 vz40000) (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];60 -> 66[label="",style="dashed", color="magenta", weight=3];
9.86/4.07	60 -> 67[label="",style="dashed", color="magenta", weight=3];
9.86/4.07	61 -> 25[label="",style="dashed", color="red", weight=0];
9.86/4.07	61[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];62 -> 25[label="",style="dashed", color="red", weight=0];
9.86/4.07	62[label="asAs MyFalse (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];63 -> 41[label="",style="dashed", color="red", weight=0];
9.86/4.07	63[label="asAs MyTrue (esEsMyInt vz31 vz41)",fontsize=16,color="magenta"];64[label="primEqInt (Pos vz310) vz41",fontsize=16,color="burlywood",shape="box"];156[label="vz310/Succ vz3100",fontsize=10,color="white",style="solid",shape="box"];64 -> 156[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	156 -> 68[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	157[label="vz310/Zero",fontsize=10,color="white",style="solid",shape="box"];64 -> 157[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	157 -> 69[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	65[label="primEqInt (Neg vz310) vz41",fontsize=16,color="burlywood",shape="box"];158[label="vz310/Succ vz3100",fontsize=10,color="white",style="solid",shape="box"];65 -> 158[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	158 -> 70[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	159[label="vz310/Zero",fontsize=10,color="white",style="solid",shape="box"];65 -> 159[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	159 -> 71[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	66[label="vz30000",fontsize=16,color="green",shape="box"];67[label="vz40000",fontsize=16,color="green",shape="box"];68[label="primEqInt (Pos (Succ vz3100)) vz41",fontsize=16,color="burlywood",shape="box"];160[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];68 -> 160[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	160 -> 72[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	161[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];68 -> 161[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	161 -> 73[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	69[label="primEqInt (Pos Zero) vz41",fontsize=16,color="burlywood",shape="box"];162[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];69 -> 162[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	162 -> 74[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	163[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];69 -> 163[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	163 -> 75[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	70[label="primEqInt (Neg (Succ vz3100)) vz41",fontsize=16,color="burlywood",shape="box"];164[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];70 -> 164[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	164 -> 76[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	165[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];70 -> 165[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	165 -> 77[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	71[label="primEqInt (Neg Zero) vz41",fontsize=16,color="burlywood",shape="box"];166[label="vz41/Pos vz410",fontsize=10,color="white",style="solid",shape="box"];71 -> 166[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	166 -> 78[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	167[label="vz41/Neg vz410",fontsize=10,color="white",style="solid",shape="box"];71 -> 167[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	167 -> 79[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	72[label="primEqInt (Pos (Succ vz3100)) (Pos vz410)",fontsize=16,color="burlywood",shape="box"];168[label="vz410/Succ vz4100",fontsize=10,color="white",style="solid",shape="box"];72 -> 168[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	168 -> 80[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	169[label="vz410/Zero",fontsize=10,color="white",style="solid",shape="box"];72 -> 169[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	169 -> 81[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	73[label="primEqInt (Pos (Succ vz3100)) (Neg vz410)",fontsize=16,color="black",shape="box"];73 -> 82[label="",style="solid", color="black", weight=3];
9.86/4.07	74[label="primEqInt (Pos Zero) (Pos vz410)",fontsize=16,color="burlywood",shape="box"];170[label="vz410/Succ vz4100",fontsize=10,color="white",style="solid",shape="box"];74 -> 170[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	170 -> 83[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	171[label="vz410/Zero",fontsize=10,color="white",style="solid",shape="box"];74 -> 171[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	171 -> 84[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	75[label="primEqInt (Pos Zero) (Neg vz410)",fontsize=16,color="burlywood",shape="box"];172[label="vz410/Succ vz4100",fontsize=10,color="white",style="solid",shape="box"];75 -> 172[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	172 -> 85[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	173[label="vz410/Zero",fontsize=10,color="white",style="solid",shape="box"];75 -> 173[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	173 -> 86[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	76[label="primEqInt (Neg (Succ vz3100)) (Pos vz410)",fontsize=16,color="black",shape="box"];76 -> 87[label="",style="solid", color="black", weight=3];
9.86/4.07	77[label="primEqInt (Neg (Succ vz3100)) (Neg vz410)",fontsize=16,color="burlywood",shape="box"];174[label="vz410/Succ vz4100",fontsize=10,color="white",style="solid",shape="box"];77 -> 174[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	174 -> 88[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	175[label="vz410/Zero",fontsize=10,color="white",style="solid",shape="box"];77 -> 175[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	175 -> 89[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	78[label="primEqInt (Neg Zero) (Pos vz410)",fontsize=16,color="burlywood",shape="box"];176[label="vz410/Succ vz4100",fontsize=10,color="white",style="solid",shape="box"];78 -> 176[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	176 -> 90[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	177[label="vz410/Zero",fontsize=10,color="white",style="solid",shape="box"];78 -> 177[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	177 -> 91[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	79[label="primEqInt (Neg Zero) (Neg vz410)",fontsize=16,color="burlywood",shape="box"];178[label="vz410/Succ vz4100",fontsize=10,color="white",style="solid",shape="box"];79 -> 178[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	178 -> 92[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	179[label="vz410/Zero",fontsize=10,color="white",style="solid",shape="box"];79 -> 179[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	179 -> 93[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	80[label="primEqInt (Pos (Succ vz3100)) (Pos (Succ vz4100))",fontsize=16,color="black",shape="box"];80 -> 94[label="",style="solid", color="black", weight=3];
9.86/4.07	81[label="primEqInt (Pos (Succ vz3100)) (Pos Zero)",fontsize=16,color="black",shape="box"];81 -> 95[label="",style="solid", color="black", weight=3];
9.86/4.07	82[label="MyFalse",fontsize=16,color="green",shape="box"];83[label="primEqInt (Pos Zero) (Pos (Succ vz4100))",fontsize=16,color="black",shape="box"];83 -> 96[label="",style="solid", color="black", weight=3];
9.86/4.07	84[label="primEqInt (Pos Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];84 -> 97[label="",style="solid", color="black", weight=3];
9.86/4.07	85[label="primEqInt (Pos Zero) (Neg (Succ vz4100))",fontsize=16,color="black",shape="box"];85 -> 98[label="",style="solid", color="black", weight=3];
9.86/4.07	86[label="primEqInt (Pos Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];86 -> 99[label="",style="solid", color="black", weight=3];
9.86/4.07	87[label="MyFalse",fontsize=16,color="green",shape="box"];88[label="primEqInt (Neg (Succ vz3100)) (Neg (Succ vz4100))",fontsize=16,color="black",shape="box"];88 -> 100[label="",style="solid", color="black", weight=3];
9.86/4.07	89[label="primEqInt (Neg (Succ vz3100)) (Neg Zero)",fontsize=16,color="black",shape="box"];89 -> 101[label="",style="solid", color="black", weight=3];
9.86/4.07	90[label="primEqInt (Neg Zero) (Pos (Succ vz4100))",fontsize=16,color="black",shape="box"];90 -> 102[label="",style="solid", color="black", weight=3];
9.86/4.07	91[label="primEqInt (Neg Zero) (Pos Zero)",fontsize=16,color="black",shape="box"];91 -> 103[label="",style="solid", color="black", weight=3];
9.86/4.07	92[label="primEqInt (Neg Zero) (Neg (Succ vz4100))",fontsize=16,color="black",shape="box"];92 -> 104[label="",style="solid", color="black", weight=3];
9.86/4.07	93[label="primEqInt (Neg Zero) (Neg Zero)",fontsize=16,color="black",shape="box"];93 -> 105[label="",style="solid", color="black", weight=3];
9.86/4.07	94[label="primEqNat vz3100 vz4100",fontsize=16,color="burlywood",shape="triangle"];180[label="vz3100/Succ vz31000",fontsize=10,color="white",style="solid",shape="box"];94 -> 180[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	180 -> 106[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	181[label="vz3100/Zero",fontsize=10,color="white",style="solid",shape="box"];94 -> 181[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	181 -> 107[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	95[label="MyFalse",fontsize=16,color="green",shape="box"];96[label="MyFalse",fontsize=16,color="green",shape="box"];97[label="MyTrue",fontsize=16,color="green",shape="box"];98[label="MyFalse",fontsize=16,color="green",shape="box"];99[label="MyTrue",fontsize=16,color="green",shape="box"];100 -> 94[label="",style="dashed", color="red", weight=0];
9.86/4.07	100[label="primEqNat vz3100 vz4100",fontsize=16,color="magenta"];100 -> 108[label="",style="dashed", color="magenta", weight=3];
9.86/4.07	100 -> 109[label="",style="dashed", color="magenta", weight=3];
9.86/4.07	101[label="MyFalse",fontsize=16,color="green",shape="box"];102[label="MyFalse",fontsize=16,color="green",shape="box"];103[label="MyTrue",fontsize=16,color="green",shape="box"];104[label="MyFalse",fontsize=16,color="green",shape="box"];105[label="MyTrue",fontsize=16,color="green",shape="box"];106[label="primEqNat (Succ vz31000) vz4100",fontsize=16,color="burlywood",shape="box"];182[label="vz4100/Succ vz41000",fontsize=10,color="white",style="solid",shape="box"];106 -> 182[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	182 -> 110[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	183[label="vz4100/Zero",fontsize=10,color="white",style="solid",shape="box"];106 -> 183[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	183 -> 111[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	107[label="primEqNat Zero vz4100",fontsize=16,color="burlywood",shape="box"];184[label="vz4100/Succ vz41000",fontsize=10,color="white",style="solid",shape="box"];107 -> 184[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	184 -> 112[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	185[label="vz4100/Zero",fontsize=10,color="white",style="solid",shape="box"];107 -> 185[label="",style="solid", color="burlywood", weight=9];
9.86/4.07	185 -> 113[label="",style="solid", color="burlywood", weight=3];
9.86/4.07	108[label="vz3100",fontsize=16,color="green",shape="box"];109[label="vz4100",fontsize=16,color="green",shape="box"];110[label="primEqNat (Succ vz31000) (Succ vz41000)",fontsize=16,color="black",shape="box"];110 -> 114[label="",style="solid", color="black", weight=3];
9.86/4.07	111[label="primEqNat (Succ vz31000) Zero",fontsize=16,color="black",shape="box"];111 -> 115[label="",style="solid", color="black", weight=3];
9.86/4.07	112[label="primEqNat Zero (Succ vz41000)",fontsize=16,color="black",shape="box"];112 -> 116[label="",style="solid", color="black", weight=3];
9.86/4.07	113[label="primEqNat Zero Zero",fontsize=16,color="black",shape="box"];113 -> 117[label="",style="solid", color="black", weight=3];
9.86/4.07	114 -> 94[label="",style="dashed", color="red", weight=0];
9.86/4.07	114[label="primEqNat vz31000 vz41000",fontsize=16,color="magenta"];114 -> 118[label="",style="dashed", color="magenta", weight=3];
9.86/4.07	114 -> 119[label="",style="dashed", color="magenta", weight=3];
9.86/4.07	115[label="MyFalse",fontsize=16,color="green",shape="box"];116[label="MyFalse",fontsize=16,color="green",shape="box"];117[label="MyTrue",fontsize=16,color="green",shape="box"];118[label="vz31000",fontsize=16,color="green",shape="box"];119[label="vz41000",fontsize=16,color="green",shape="box"];}
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(6)
9.86/4.07	Complex Obligation (AND)
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(7)
9.86/4.07	Obligation:
9.86/4.07	Q DP problem:
9.86/4.07	The TRS P consists of the following rules:
9.86/4.07	
9.86/4.07	   new_primEqNat(Main.Succ(vz31000), Main.Succ(vz41000)) -> new_primEqNat(vz31000, vz41000)
9.86/4.07	
9.86/4.07	R is empty.
9.86/4.07	Q is empty.
9.86/4.07	We have to consider all minimal (P,Q,R)-chains.
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(8) QDPSizeChangeProof (EQUIVALENT)
9.86/4.07	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. 
9.86/4.07	
9.86/4.07	From the DPs we obtained the following set of size-change graphs:
9.86/4.07	*new_primEqNat(Main.Succ(vz31000), Main.Succ(vz41000)) -> new_primEqNat(vz31000, vz41000)
9.86/4.07	The graph contains the following edges 1 > 1, 2 > 2
9.86/4.07	
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(9)
9.86/4.07	YES
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(10)
9.86/4.07	Obligation:
9.86/4.07	Q DP problem:
9.86/4.07	The TRS P consists of the following rules:
9.86/4.07	
9.86/4.07	   new_asAs(Main.Succ(vz30000), Main.Succ(vz40000), vz31, vz41) -> new_asAs(vz30000, vz40000, vz31, vz41)
9.86/4.07	
9.86/4.07	R is empty.
9.86/4.07	Q is empty.
9.86/4.07	We have to consider all minimal (P,Q,R)-chains.
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(11) QDPSizeChangeProof (EQUIVALENT)
9.86/4.07	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. 
9.86/4.07	
9.86/4.07	From the DPs we obtained the following set of size-change graphs:
9.86/4.07	*new_asAs(Main.Succ(vz30000), Main.Succ(vz40000), vz31, vz41) -> new_asAs(vz30000, vz40000, vz31, vz41)
9.86/4.07	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3, 4 >= 4
9.86/4.07	
9.86/4.07	
9.86/4.07	----------------------------------------
9.86/4.07	
9.86/4.07	(12)
9.86/4.07	YES
9.86/4.14	EOF