11.39/4.78	YES
13.28/5.29	proof of /export/starexec/sandbox/benchmark/theBenchmark.hs
13.28/5.29	# AProVE Commit ID: 48fb2092695e11cc9f56e44b17a92a5f88ffb256 marcel 20180622 unpublished dirty
13.28/5.29	
13.28/5.29	
13.28/5.29	H-Termination with start terms of the given HASKELL could be proven:
13.28/5.29	
13.28/5.29	(0) HASKELL
13.28/5.29	(1) BR [EQUIVALENT, 0 ms]
13.28/5.29	(2) HASKELL
13.28/5.29	(3) COR [EQUIVALENT, 12 ms]
13.28/5.29	(4) HASKELL
13.28/5.29	(5) Narrow [SOUND, 0 ms]
13.28/5.29	(6) AND
13.28/5.29	    (7) QDP
13.28/5.29	        (8) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.28/5.29	        (9) YES
13.28/5.29	    (10) QDP
13.28/5.29	        (11) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.28/5.29	        (12) YES
13.28/5.29	    (13) QDP
13.28/5.29	        (14) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.28/5.29	        (15) YES
13.28/5.29	    (16) QDP
13.28/5.29	        (17) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.28/5.29	        (18) YES
13.28/5.29	    (19) QDP
13.28/5.29	        (20) QDPSizeChangeProof [EQUIVALENT, 0 ms]
13.28/5.29	        (21) YES
13.28/5.29	
13.28/5.29	
13.28/5.29	----------------------------------------
13.28/5.29	
13.28/5.29	(0)
13.28/5.29	Obligation:
13.28/5.29	mainModule Main 
13.28/5.29	module Maybe where {
13.28/5.29	import qualified List;
13.28/5.29	import qualified Main;
13.28/5.29	import qualified Prelude;
13.28/5.29	}
13.28/5.29	module List where {
13.28/5.29	import qualified Main;
13.28/5.29	import qualified Maybe;
13.28/5.29	import qualified Prelude;
13.28/5.29	isPrefixOf :: Eq a => [a]  ->  [a]  ->  Bool;
13.28/5.29	isPrefixOf [] _ = True;
13.28/5.29	isPrefixOf _ [] = False;
13.28/5.29	isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys;
13.28/5.29	
13.28/5.29	}
13.28/5.29	module Main where {
13.28/5.29	import qualified List;
13.28/5.29	import qualified Maybe;
13.28/5.29	import qualified Prelude;
13.28/5.29	}
13.28/5.29	
13.28/5.29	----------------------------------------
13.28/5.29	
13.28/5.29	(1) BR (EQUIVALENT)
13.28/5.29	Replaced joker patterns by fresh variables and removed binding patterns.
13.28/5.29	----------------------------------------
13.28/5.29	
13.28/5.29	(2)
13.28/5.29	Obligation:
13.28/5.29	mainModule Main 
13.28/5.29	module Maybe where {
13.28/5.29	import qualified List;
13.28/5.29	import qualified Main;
13.28/5.29	import qualified Prelude;
13.28/5.29	}
13.28/5.29	module List where {
13.28/5.29	import qualified Main;
13.28/5.29	import qualified Maybe;
13.28/5.29	import qualified Prelude;
13.28/5.29	isPrefixOf :: Eq a => [a]  ->  [a]  ->  Bool;
13.28/5.29	isPrefixOf [] xw = True;
13.28/5.29	isPrefixOf xx [] = False;
13.28/5.29	isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys;
13.28/5.29	
13.28/5.29	}
13.28/5.29	module Main where {
13.28/5.29	import qualified List;
13.28/5.29	import qualified Maybe;
13.28/5.29	import qualified Prelude;
13.28/5.29	}
13.28/5.29	
13.28/5.29	----------------------------------------
13.28/5.29	
13.28/5.29	(3) COR (EQUIVALENT)
13.28/5.29	Cond Reductions:
13.28/5.29	The following Function with conditions
13.28/5.29	"undefined |Falseundefined;
13.28/5.29	"
13.28/5.29	is transformed to
13.28/5.29	"undefined  = undefined1;
13.28/5.29	"
13.28/5.29	"undefined0 True = undefined;
13.28/5.29	"
13.28/5.29	"undefined1  = undefined0 False;
13.28/5.29	"
13.28/5.29	
13.28/5.29	----------------------------------------
13.28/5.29	
13.28/5.29	(4)
13.28/5.29	Obligation:
13.28/5.29	mainModule Main 
13.28/5.29	module Maybe where {
13.28/5.29	import qualified List;
13.28/5.29	import qualified Main;
13.28/5.29	import qualified Prelude;
13.28/5.29	}
13.28/5.29	module List where {
13.28/5.29	import qualified Main;
13.28/5.29	import qualified Maybe;
13.28/5.29	import qualified Prelude;
13.28/5.29	isPrefixOf :: Eq a => [a]  ->  [a]  ->  Bool;
13.28/5.29	isPrefixOf [] xw = True;
13.28/5.29	isPrefixOf xx [] = False;
13.28/5.29	isPrefixOf (x : xs) (y : ys) = x == y && isPrefixOf xs ys;
13.28/5.29	
13.28/5.29	}
13.28/5.29	module Main where {
13.28/5.29	import qualified List;
13.28/5.29	import qualified Maybe;
13.28/5.29	import qualified Prelude;
13.28/5.29	}
13.28/5.29	
13.28/5.29	----------------------------------------
13.28/5.29	
13.28/5.29	(5) Narrow (SOUND)
13.28/5.29	Haskell To QDPs
13.28/5.29	
13.28/5.29	digraph dp_graph {
13.28/5.29	node [outthreshold=100, inthreshold=100];1[label="List.isPrefixOf",fontsize=16,color="grey",shape="box"];1 -> 3[label="",style="dashed", color="grey", weight=3];
13.28/5.29	3[label="List.isPrefixOf xy3",fontsize=16,color="grey",shape="box"];3 -> 4[label="",style="dashed", color="grey", weight=3];
13.28/5.29	4[label="List.isPrefixOf xy3 xy4",fontsize=16,color="burlywood",shape="triangle"];701[label="xy3/xy30 : xy31",fontsize=10,color="white",style="solid",shape="box"];4 -> 701[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	701 -> 5[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	702[label="xy3/[]",fontsize=10,color="white",style="solid",shape="box"];4 -> 702[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	702 -> 6[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	5[label="List.isPrefixOf (xy30 : xy31) xy4",fontsize=16,color="burlywood",shape="box"];703[label="xy4/xy40 : xy41",fontsize=10,color="white",style="solid",shape="box"];5 -> 703[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	703 -> 7[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	704[label="xy4/[]",fontsize=10,color="white",style="solid",shape="box"];5 -> 704[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	704 -> 8[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	6[label="List.isPrefixOf [] xy4",fontsize=16,color="black",shape="box"];6 -> 9[label="",style="solid", color="black", weight=3];
13.28/5.29	7[label="List.isPrefixOf (xy30 : xy31) (xy40 : xy41)",fontsize=16,color="black",shape="box"];7 -> 10[label="",style="solid", color="black", weight=3];
13.28/5.29	8[label="List.isPrefixOf (xy30 : xy31) []",fontsize=16,color="black",shape="box"];8 -> 11[label="",style="solid", color="black", weight=3];
13.28/5.29	9[label="True",fontsize=16,color="green",shape="box"];10 -> 98[label="",style="dashed", color="red", weight=0];
13.28/5.29	10[label="xy30 == xy40 && List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];10 -> 99[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	10 -> 100[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	11[label="False",fontsize=16,color="green",shape="box"];99[label="xy30 == xy40",fontsize=16,color="burlywood",shape="triangle"];705[label="xy30/(xy300,xy301)",fontsize=10,color="white",style="solid",shape="box"];99 -> 705[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	705 -> 111[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	100 -> 4[label="",style="dashed", color="red", weight=0];
13.28/5.29	100[label="List.isPrefixOf xy31 xy41",fontsize=16,color="magenta"];100 -> 112[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	100 -> 113[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	98[label="xy18 && xy19",fontsize=16,color="burlywood",shape="triangle"];706[label="xy18/False",fontsize=10,color="white",style="solid",shape="box"];98 -> 706[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	706 -> 114[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	707[label="xy18/True",fontsize=10,color="white",style="solid",shape="box"];98 -> 707[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	707 -> 115[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	111[label="(xy300,xy301) == xy40",fontsize=16,color="burlywood",shape="box"];708[label="xy40/(xy400,xy401)",fontsize=10,color="white",style="solid",shape="box"];111 -> 708[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	708 -> 116[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	112[label="xy31",fontsize=16,color="green",shape="box"];113[label="xy41",fontsize=16,color="green",shape="box"];114[label="False && xy19",fontsize=16,color="black",shape="box"];114 -> 117[label="",style="solid", color="black", weight=3];
13.28/5.29	115[label="True && xy19",fontsize=16,color="black",shape="box"];115 -> 118[label="",style="solid", color="black", weight=3];
13.28/5.29	116[label="(xy300,xy301) == (xy400,xy401)",fontsize=16,color="black",shape="box"];116 -> 119[label="",style="solid", color="black", weight=3];
13.28/5.29	117[label="False",fontsize=16,color="green",shape="box"];118[label="xy19",fontsize=16,color="green",shape="box"];119 -> 98[label="",style="dashed", color="red", weight=0];
13.28/5.29	119[label="xy300 == xy400 && xy301 == xy401",fontsize=16,color="magenta"];119 -> 120[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	119 -> 121[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	120[label="xy300 == xy400",fontsize=16,color="blue",shape="box"];709[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 709[label="",style="solid", color="blue", weight=9];
13.28/5.29	709 -> 122[label="",style="solid", color="blue", weight=3];
13.28/5.29	710[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 710[label="",style="solid", color="blue", weight=9];
13.28/5.29	710 -> 123[label="",style="solid", color="blue", weight=3];
13.28/5.29	711[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 711[label="",style="solid", color="blue", weight=9];
13.28/5.29	711 -> 124[label="",style="solid", color="blue", weight=3];
13.28/5.29	712[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 712[label="",style="solid", color="blue", weight=9];
13.28/5.29	712 -> 125[label="",style="solid", color="blue", weight=3];
13.28/5.29	713[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 713[label="",style="solid", color="blue", weight=9];
13.28/5.29	713 -> 126[label="",style="solid", color="blue", weight=3];
13.28/5.29	714[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 714[label="",style="solid", color="blue", weight=9];
13.28/5.29	714 -> 127[label="",style="solid", color="blue", weight=3];
13.28/5.29	715[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 715[label="",style="solid", color="blue", weight=9];
13.28/5.29	715 -> 128[label="",style="solid", color="blue", weight=3];
13.28/5.29	716[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 716[label="",style="solid", color="blue", weight=9];
13.28/5.29	716 -> 129[label="",style="solid", color="blue", weight=3];
13.28/5.29	717[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 717[label="",style="solid", color="blue", weight=9];
13.28/5.29	717 -> 130[label="",style="solid", color="blue", weight=3];
13.28/5.29	718[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 718[label="",style="solid", color="blue", weight=9];
13.28/5.29	718 -> 131[label="",style="solid", color="blue", weight=3];
13.28/5.29	719[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 719[label="",style="solid", color="blue", weight=9];
13.28/5.29	719 -> 132[label="",style="solid", color="blue", weight=3];
13.28/5.29	720[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 720[label="",style="solid", color="blue", weight=9];
13.28/5.29	720 -> 133[label="",style="solid", color="blue", weight=3];
13.28/5.29	721[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 721[label="",style="solid", color="blue", weight=9];
13.28/5.29	721 -> 134[label="",style="solid", color="blue", weight=3];
13.28/5.29	722[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];120 -> 722[label="",style="solid", color="blue", weight=9];
13.28/5.29	722 -> 135[label="",style="solid", color="blue", weight=3];
13.28/5.29	121[label="xy301 == xy401",fontsize=16,color="blue",shape="box"];723[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 723[label="",style="solid", color="blue", weight=9];
13.28/5.29	723 -> 136[label="",style="solid", color="blue", weight=3];
13.28/5.29	724[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 724[label="",style="solid", color="blue", weight=9];
13.28/5.29	724 -> 137[label="",style="solid", color="blue", weight=3];
13.28/5.29	725[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 725[label="",style="solid", color="blue", weight=9];
13.28/5.29	725 -> 138[label="",style="solid", color="blue", weight=3];
13.28/5.29	726[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 726[label="",style="solid", color="blue", weight=9];
13.28/5.29	726 -> 139[label="",style="solid", color="blue", weight=3];
13.28/5.29	727[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 727[label="",style="solid", color="blue", weight=9];
13.28/5.29	727 -> 140[label="",style="solid", color="blue", weight=3];
13.28/5.29	728[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 728[label="",style="solid", color="blue", weight=9];
13.28/5.29	728 -> 141[label="",style="solid", color="blue", weight=3];
13.28/5.29	729[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 729[label="",style="solid", color="blue", weight=9];
13.28/5.29	729 -> 142[label="",style="solid", color="blue", weight=3];
13.28/5.29	730[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 730[label="",style="solid", color="blue", weight=9];
13.28/5.29	730 -> 143[label="",style="solid", color="blue", weight=3];
13.28/5.29	731[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 731[label="",style="solid", color="blue", weight=9];
13.28/5.29	731 -> 144[label="",style="solid", color="blue", weight=3];
13.28/5.29	732[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 732[label="",style="solid", color="blue", weight=9];
13.28/5.29	732 -> 145[label="",style="solid", color="blue", weight=3];
13.28/5.29	733[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 733[label="",style="solid", color="blue", weight=9];
13.28/5.29	733 -> 146[label="",style="solid", color="blue", weight=3];
13.28/5.29	734[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 734[label="",style="solid", color="blue", weight=9];
13.28/5.29	734 -> 147[label="",style="solid", color="blue", weight=3];
13.28/5.29	735[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 735[label="",style="solid", color="blue", weight=9];
13.28/5.29	735 -> 148[label="",style="solid", color="blue", weight=3];
13.28/5.29	736[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];121 -> 736[label="",style="solid", color="blue", weight=9];
13.28/5.29	736 -> 149[label="",style="solid", color="blue", weight=3];
13.28/5.29	122[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];737[label="xy300/xy3000 : xy3001",fontsize=10,color="white",style="solid",shape="box"];122 -> 737[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	737 -> 150[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	738[label="xy300/[]",fontsize=10,color="white",style="solid",shape="box"];122 -> 738[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	738 -> 151[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	123[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];739[label="xy300/LT",fontsize=10,color="white",style="solid",shape="box"];123 -> 739[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	739 -> 152[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	740[label="xy300/EQ",fontsize=10,color="white",style="solid",shape="box"];123 -> 740[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	740 -> 153[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	741[label="xy300/GT",fontsize=10,color="white",style="solid",shape="box"];123 -> 741[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	741 -> 154[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	124[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];742[label="xy300/Left xy3000",fontsize=10,color="white",style="solid",shape="box"];124 -> 742[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	742 -> 155[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	743[label="xy300/Right xy3000",fontsize=10,color="white",style="solid",shape="box"];124 -> 743[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	743 -> 156[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	125[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];744[label="xy300/Nothing",fontsize=10,color="white",style="solid",shape="box"];125 -> 744[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	744 -> 157[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	745[label="xy300/Just xy3000",fontsize=10,color="white",style="solid",shape="box"];125 -> 745[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	745 -> 158[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	126[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];126 -> 159[label="",style="solid", color="black", weight=3];
13.28/5.29	127[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];746[label="xy300/False",fontsize=10,color="white",style="solid",shape="box"];127 -> 746[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	746 -> 160[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	747[label="xy300/True",fontsize=10,color="white",style="solid",shape="box"];127 -> 747[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	747 -> 161[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	128[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];748[label="xy300/xy3000 :% xy3001",fontsize=10,color="white",style="solid",shape="box"];128 -> 748[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	748 -> 162[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	129[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];749[label="xy300/Integer xy3000",fontsize=10,color="white",style="solid",shape="box"];129 -> 749[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	749 -> 163[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	130[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];750[label="xy300/(xy3000,xy3001,xy3002)",fontsize=10,color="white",style="solid",shape="box"];130 -> 750[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	750 -> 164[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	131[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];131 -> 165[label="",style="solid", color="black", weight=3];
13.28/5.29	132[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];132 -> 166[label="",style="solid", color="black", weight=3];
13.28/5.29	133 -> 99[label="",style="dashed", color="red", weight=0];
13.28/5.29	133[label="xy300 == xy400",fontsize=16,color="magenta"];133 -> 167[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	133 -> 168[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	134[label="xy300 == xy400",fontsize=16,color="black",shape="triangle"];134 -> 169[label="",style="solid", color="black", weight=3];
13.28/5.29	135[label="xy300 == xy400",fontsize=16,color="burlywood",shape="triangle"];751[label="xy300/()",fontsize=10,color="white",style="solid",shape="box"];135 -> 751[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	751 -> 170[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	136 -> 122[label="",style="dashed", color="red", weight=0];
13.28/5.29	136[label="xy301 == xy401",fontsize=16,color="magenta"];136 -> 171[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	136 -> 172[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	137 -> 123[label="",style="dashed", color="red", weight=0];
13.28/5.29	137[label="xy301 == xy401",fontsize=16,color="magenta"];137 -> 173[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	137 -> 174[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	138 -> 124[label="",style="dashed", color="red", weight=0];
13.28/5.29	138[label="xy301 == xy401",fontsize=16,color="magenta"];138 -> 175[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	138 -> 176[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	139 -> 125[label="",style="dashed", color="red", weight=0];
13.28/5.29	139[label="xy301 == xy401",fontsize=16,color="magenta"];139 -> 177[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	139 -> 178[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	140 -> 126[label="",style="dashed", color="red", weight=0];
13.28/5.29	140[label="xy301 == xy401",fontsize=16,color="magenta"];140 -> 179[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	140 -> 180[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	141 -> 127[label="",style="dashed", color="red", weight=0];
13.28/5.29	141[label="xy301 == xy401",fontsize=16,color="magenta"];141 -> 181[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	141 -> 182[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	142 -> 128[label="",style="dashed", color="red", weight=0];
13.28/5.29	142[label="xy301 == xy401",fontsize=16,color="magenta"];142 -> 183[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	142 -> 184[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	143 -> 129[label="",style="dashed", color="red", weight=0];
13.28/5.29	143[label="xy301 == xy401",fontsize=16,color="magenta"];143 -> 185[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	143 -> 186[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	144 -> 130[label="",style="dashed", color="red", weight=0];
13.28/5.29	144[label="xy301 == xy401",fontsize=16,color="magenta"];144 -> 187[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	144 -> 188[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	145 -> 131[label="",style="dashed", color="red", weight=0];
13.28/5.29	145[label="xy301 == xy401",fontsize=16,color="magenta"];145 -> 189[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	145 -> 190[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	146 -> 132[label="",style="dashed", color="red", weight=0];
13.28/5.29	146[label="xy301 == xy401",fontsize=16,color="magenta"];146 -> 191[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	146 -> 192[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	147 -> 99[label="",style="dashed", color="red", weight=0];
13.28/5.29	147[label="xy301 == xy401",fontsize=16,color="magenta"];147 -> 193[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	147 -> 194[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	148 -> 134[label="",style="dashed", color="red", weight=0];
13.28/5.29	148[label="xy301 == xy401",fontsize=16,color="magenta"];148 -> 195[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	148 -> 196[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	149 -> 135[label="",style="dashed", color="red", weight=0];
13.28/5.29	149[label="xy301 == xy401",fontsize=16,color="magenta"];149 -> 197[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	149 -> 198[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	150[label="xy3000 : xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];752[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];150 -> 752[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	752 -> 199[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	753[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];150 -> 753[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	753 -> 200[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	151[label="[] == xy400",fontsize=16,color="burlywood",shape="box"];754[label="xy400/xy4000 : xy4001",fontsize=10,color="white",style="solid",shape="box"];151 -> 754[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	754 -> 201[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	755[label="xy400/[]",fontsize=10,color="white",style="solid",shape="box"];151 -> 755[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	755 -> 202[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	152[label="LT == xy400",fontsize=16,color="burlywood",shape="box"];756[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];152 -> 756[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	756 -> 203[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	757[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];152 -> 757[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	757 -> 204[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	758[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];152 -> 758[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	758 -> 205[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	153[label="EQ == xy400",fontsize=16,color="burlywood",shape="box"];759[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];153 -> 759[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	759 -> 206[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	760[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];153 -> 760[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	760 -> 207[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	761[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];153 -> 761[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	761 -> 208[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	154[label="GT == xy400",fontsize=16,color="burlywood",shape="box"];762[label="xy400/LT",fontsize=10,color="white",style="solid",shape="box"];154 -> 762[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	762 -> 209[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	763[label="xy400/EQ",fontsize=10,color="white",style="solid",shape="box"];154 -> 763[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	763 -> 210[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	764[label="xy400/GT",fontsize=10,color="white",style="solid",shape="box"];154 -> 764[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	764 -> 211[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	155[label="Left xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];765[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];155 -> 765[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	765 -> 212[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	766[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];155 -> 766[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	766 -> 213[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	156[label="Right xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];767[label="xy400/Left xy4000",fontsize=10,color="white",style="solid",shape="box"];156 -> 767[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	767 -> 214[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	768[label="xy400/Right xy4000",fontsize=10,color="white",style="solid",shape="box"];156 -> 768[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	768 -> 215[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	157[label="Nothing == xy400",fontsize=16,color="burlywood",shape="box"];769[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];157 -> 769[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	769 -> 216[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	770[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];157 -> 770[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	770 -> 217[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	158[label="Just xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];771[label="xy400/Nothing",fontsize=10,color="white",style="solid",shape="box"];158 -> 771[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	771 -> 218[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	772[label="xy400/Just xy4000",fontsize=10,color="white",style="solid",shape="box"];158 -> 772[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	772 -> 219[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	159[label="primEqChar xy300 xy400",fontsize=16,color="burlywood",shape="box"];773[label="xy300/Char xy3000",fontsize=10,color="white",style="solid",shape="box"];159 -> 773[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	773 -> 220[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	160[label="False == xy400",fontsize=16,color="burlywood",shape="box"];774[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];160 -> 774[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	774 -> 221[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	775[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];160 -> 775[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	775 -> 222[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	161[label="True == xy400",fontsize=16,color="burlywood",shape="box"];776[label="xy400/False",fontsize=10,color="white",style="solid",shape="box"];161 -> 776[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	776 -> 223[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	777[label="xy400/True",fontsize=10,color="white",style="solid",shape="box"];161 -> 777[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	777 -> 224[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	162[label="xy3000 :% xy3001 == xy400",fontsize=16,color="burlywood",shape="box"];778[label="xy400/xy4000 :% xy4001",fontsize=10,color="white",style="solid",shape="box"];162 -> 778[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	778 -> 225[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	163[label="Integer xy3000 == xy400",fontsize=16,color="burlywood",shape="box"];779[label="xy400/Integer xy4000",fontsize=10,color="white",style="solid",shape="box"];163 -> 779[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	779 -> 226[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	164[label="(xy3000,xy3001,xy3002) == xy400",fontsize=16,color="burlywood",shape="box"];780[label="xy400/(xy4000,xy4001,xy4002)",fontsize=10,color="white",style="solid",shape="box"];164 -> 780[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	780 -> 227[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	165[label="primEqDouble xy300 xy400",fontsize=16,color="burlywood",shape="box"];781[label="xy300/Double xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];165 -> 781[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	781 -> 228[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	166[label="primEqInt xy300 xy400",fontsize=16,color="burlywood",shape="triangle"];782[label="xy300/Pos xy3000",fontsize=10,color="white",style="solid",shape="box"];166 -> 782[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	782 -> 229[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	783[label="xy300/Neg xy3000",fontsize=10,color="white",style="solid",shape="box"];166 -> 783[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	783 -> 230[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	167[label="xy300",fontsize=16,color="green",shape="box"];168[label="xy400",fontsize=16,color="green",shape="box"];169[label="primEqFloat xy300 xy400",fontsize=16,color="burlywood",shape="box"];784[label="xy300/Float xy3000 xy3001",fontsize=10,color="white",style="solid",shape="box"];169 -> 784[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	784 -> 231[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	170[label="() == xy400",fontsize=16,color="burlywood",shape="box"];785[label="xy400/()",fontsize=10,color="white",style="solid",shape="box"];170 -> 785[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	785 -> 232[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	171[label="xy301",fontsize=16,color="green",shape="box"];172[label="xy401",fontsize=16,color="green",shape="box"];173[label="xy301",fontsize=16,color="green",shape="box"];174[label="xy401",fontsize=16,color="green",shape="box"];175[label="xy301",fontsize=16,color="green",shape="box"];176[label="xy401",fontsize=16,color="green",shape="box"];177[label="xy301",fontsize=16,color="green",shape="box"];178[label="xy401",fontsize=16,color="green",shape="box"];179[label="xy301",fontsize=16,color="green",shape="box"];180[label="xy401",fontsize=16,color="green",shape="box"];181[label="xy301",fontsize=16,color="green",shape="box"];182[label="xy401",fontsize=16,color="green",shape="box"];183[label="xy301",fontsize=16,color="green",shape="box"];184[label="xy401",fontsize=16,color="green",shape="box"];185[label="xy301",fontsize=16,color="green",shape="box"];186[label="xy401",fontsize=16,color="green",shape="box"];187[label="xy301",fontsize=16,color="green",shape="box"];188[label="xy401",fontsize=16,color="green",shape="box"];189[label="xy301",fontsize=16,color="green",shape="box"];190[label="xy401",fontsize=16,color="green",shape="box"];191[label="xy301",fontsize=16,color="green",shape="box"];192[label="xy401",fontsize=16,color="green",shape="box"];193[label="xy301",fontsize=16,color="green",shape="box"];194[label="xy401",fontsize=16,color="green",shape="box"];195[label="xy301",fontsize=16,color="green",shape="box"];196[label="xy401",fontsize=16,color="green",shape="box"];197[label="xy301",fontsize=16,color="green",shape="box"];198[label="xy401",fontsize=16,color="green",shape="box"];199[label="xy3000 : xy3001 == xy4000 : xy4001",fontsize=16,color="black",shape="box"];199 -> 233[label="",style="solid", color="black", weight=3];
13.28/5.29	200[label="xy3000 : xy3001 == []",fontsize=16,color="black",shape="box"];200 -> 234[label="",style="solid", color="black", weight=3];
13.28/5.29	201[label="[] == xy4000 : xy4001",fontsize=16,color="black",shape="box"];201 -> 235[label="",style="solid", color="black", weight=3];
13.28/5.29	202[label="[] == []",fontsize=16,color="black",shape="box"];202 -> 236[label="",style="solid", color="black", weight=3];
13.28/5.29	203[label="LT == LT",fontsize=16,color="black",shape="box"];203 -> 237[label="",style="solid", color="black", weight=3];
13.28/5.29	204[label="LT == EQ",fontsize=16,color="black",shape="box"];204 -> 238[label="",style="solid", color="black", weight=3];
13.28/5.29	205[label="LT == GT",fontsize=16,color="black",shape="box"];205 -> 239[label="",style="solid", color="black", weight=3];
13.28/5.29	206[label="EQ == LT",fontsize=16,color="black",shape="box"];206 -> 240[label="",style="solid", color="black", weight=3];
13.28/5.29	207[label="EQ == EQ",fontsize=16,color="black",shape="box"];207 -> 241[label="",style="solid", color="black", weight=3];
13.28/5.29	208[label="EQ == GT",fontsize=16,color="black",shape="box"];208 -> 242[label="",style="solid", color="black", weight=3];
13.28/5.29	209[label="GT == LT",fontsize=16,color="black",shape="box"];209 -> 243[label="",style="solid", color="black", weight=3];
13.28/5.29	210[label="GT == EQ",fontsize=16,color="black",shape="box"];210 -> 244[label="",style="solid", color="black", weight=3];
13.28/5.29	211[label="GT == GT",fontsize=16,color="black",shape="box"];211 -> 245[label="",style="solid", color="black", weight=3];
13.28/5.29	212[label="Left xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];212 -> 246[label="",style="solid", color="black", weight=3];
13.28/5.29	213[label="Left xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];213 -> 247[label="",style="solid", color="black", weight=3];
13.28/5.29	214[label="Right xy3000 == Left xy4000",fontsize=16,color="black",shape="box"];214 -> 248[label="",style="solid", color="black", weight=3];
13.28/5.29	215[label="Right xy3000 == Right xy4000",fontsize=16,color="black",shape="box"];215 -> 249[label="",style="solid", color="black", weight=3];
13.28/5.29	216[label="Nothing == Nothing",fontsize=16,color="black",shape="box"];216 -> 250[label="",style="solid", color="black", weight=3];
13.28/5.29	217[label="Nothing == Just xy4000",fontsize=16,color="black",shape="box"];217 -> 251[label="",style="solid", color="black", weight=3];
13.28/5.29	218[label="Just xy3000 == Nothing",fontsize=16,color="black",shape="box"];218 -> 252[label="",style="solid", color="black", weight=3];
13.28/5.29	219[label="Just xy3000 == Just xy4000",fontsize=16,color="black",shape="box"];219 -> 253[label="",style="solid", color="black", weight=3];
13.28/5.29	220[label="primEqChar (Char xy3000) xy400",fontsize=16,color="burlywood",shape="box"];786[label="xy400/Char xy4000",fontsize=10,color="white",style="solid",shape="box"];220 -> 786[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	786 -> 254[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	221[label="False == False",fontsize=16,color="black",shape="box"];221 -> 255[label="",style="solid", color="black", weight=3];
13.28/5.29	222[label="False == True",fontsize=16,color="black",shape="box"];222 -> 256[label="",style="solid", color="black", weight=3];
13.28/5.29	223[label="True == False",fontsize=16,color="black",shape="box"];223 -> 257[label="",style="solid", color="black", weight=3];
13.28/5.29	224[label="True == True",fontsize=16,color="black",shape="box"];224 -> 258[label="",style="solid", color="black", weight=3];
13.28/5.29	225[label="xy3000 :% xy3001 == xy4000 :% xy4001",fontsize=16,color="black",shape="box"];225 -> 259[label="",style="solid", color="black", weight=3];
13.28/5.29	226[label="Integer xy3000 == Integer xy4000",fontsize=16,color="black",shape="box"];226 -> 260[label="",style="solid", color="black", weight=3];
13.28/5.29	227[label="(xy3000,xy3001,xy3002) == (xy4000,xy4001,xy4002)",fontsize=16,color="black",shape="box"];227 -> 261[label="",style="solid", color="black", weight=3];
13.28/5.29	228[label="primEqDouble (Double xy3000 xy3001) xy400",fontsize=16,color="burlywood",shape="box"];787[label="xy400/Double xy4000 xy4001",fontsize=10,color="white",style="solid",shape="box"];228 -> 787[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	787 -> 262[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	229[label="primEqInt (Pos xy3000) xy400",fontsize=16,color="burlywood",shape="box"];788[label="xy3000/Succ xy30000",fontsize=10,color="white",style="solid",shape="box"];229 -> 788[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	788 -> 263[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	789[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];229 -> 789[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	789 -> 264[label="",style="solid", color="burlywood", weight=3];
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13.28/5.29	790 -> 265[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	791[label="xy3000/Zero",fontsize=10,color="white",style="solid",shape="box"];230 -> 791[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	791 -> 266[label="",style="solid", color="burlywood", weight=3];
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13.28/5.29	792 -> 267[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	232[label="() == ()",fontsize=16,color="black",shape="box"];232 -> 268[label="",style="solid", color="black", weight=3];
13.28/5.29	233 -> 98[label="",style="dashed", color="red", weight=0];
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13.28/5.29	793 -> 271[label="",style="solid", color="blue", weight=3];
13.28/5.29	794[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 794[label="",style="solid", color="blue", weight=9];
13.28/5.29	794 -> 272[label="",style="solid", color="blue", weight=3];
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13.28/5.29	795 -> 273[label="",style="solid", color="blue", weight=3];
13.28/5.29	796[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 796[label="",style="solid", color="blue", weight=9];
13.28/5.29	796 -> 274[label="",style="solid", color="blue", weight=3];
13.28/5.29	797[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 797[label="",style="solid", color="blue", weight=9];
13.28/5.29	797 -> 275[label="",style="solid", color="blue", weight=3];
13.28/5.29	798[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 798[label="",style="solid", color="blue", weight=9];
13.28/5.29	798 -> 276[label="",style="solid", color="blue", weight=3];
13.28/5.29	799[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 799[label="",style="solid", color="blue", weight=9];
13.28/5.29	799 -> 277[label="",style="solid", color="blue", weight=3];
13.28/5.29	800[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 800[label="",style="solid", color="blue", weight=9];
13.28/5.29	800 -> 278[label="",style="solid", color="blue", weight=3];
13.28/5.29	801[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 801[label="",style="solid", color="blue", weight=9];
13.28/5.29	801 -> 279[label="",style="solid", color="blue", weight=3];
13.28/5.29	802[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 802[label="",style="solid", color="blue", weight=9];
13.28/5.29	802 -> 280[label="",style="solid", color="blue", weight=3];
13.28/5.29	803[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 803[label="",style="solid", color="blue", weight=9];
13.28/5.29	803 -> 281[label="",style="solid", color="blue", weight=3];
13.28/5.29	804[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 804[label="",style="solid", color="blue", weight=9];
13.28/5.29	804 -> 282[label="",style="solid", color="blue", weight=3];
13.28/5.29	805[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 805[label="",style="solid", color="blue", weight=9];
13.28/5.29	805 -> 283[label="",style="solid", color="blue", weight=3];
13.28/5.29	806[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];246 -> 806[label="",style="solid", color="blue", weight=9];
13.28/5.29	806 -> 284[label="",style="solid", color="blue", weight=3];
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13.28/5.29	807 -> 285[label="",style="solid", color="blue", weight=3];
13.28/5.29	808[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 808[label="",style="solid", color="blue", weight=9];
13.28/5.29	808 -> 286[label="",style="solid", color="blue", weight=3];
13.28/5.29	809[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 809[label="",style="solid", color="blue", weight=9];
13.28/5.29	809 -> 287[label="",style="solid", color="blue", weight=3];
13.28/5.29	810[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 810[label="",style="solid", color="blue", weight=9];
13.28/5.29	810 -> 288[label="",style="solid", color="blue", weight=3];
13.28/5.29	811[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 811[label="",style="solid", color="blue", weight=9];
13.28/5.29	811 -> 289[label="",style="solid", color="blue", weight=3];
13.28/5.29	812[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 812[label="",style="solid", color="blue", weight=9];
13.28/5.29	812 -> 290[label="",style="solid", color="blue", weight=3];
13.28/5.29	813[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 813[label="",style="solid", color="blue", weight=9];
13.28/5.29	813 -> 291[label="",style="solid", color="blue", weight=3];
13.28/5.29	814[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 814[label="",style="solid", color="blue", weight=9];
13.28/5.29	814 -> 292[label="",style="solid", color="blue", weight=3];
13.28/5.29	815[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 815[label="",style="solid", color="blue", weight=9];
13.28/5.29	815 -> 293[label="",style="solid", color="blue", weight=3];
13.28/5.29	816[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 816[label="",style="solid", color="blue", weight=9];
13.28/5.29	816 -> 294[label="",style="solid", color="blue", weight=3];
13.28/5.29	817[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 817[label="",style="solid", color="blue", weight=9];
13.28/5.29	817 -> 295[label="",style="solid", color="blue", weight=3];
13.28/5.29	818[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 818[label="",style="solid", color="blue", weight=9];
13.28/5.29	818 -> 296[label="",style="solid", color="blue", weight=3];
13.28/5.29	819[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 819[label="",style="solid", color="blue", weight=9];
13.28/5.29	819 -> 297[label="",style="solid", color="blue", weight=3];
13.28/5.29	820[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];249 -> 820[label="",style="solid", color="blue", weight=9];
13.28/5.29	820 -> 298[label="",style="solid", color="blue", weight=3];
13.28/5.29	250[label="True",fontsize=16,color="green",shape="box"];251[label="False",fontsize=16,color="green",shape="box"];252[label="False",fontsize=16,color="green",shape="box"];253[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];821[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 821[label="",style="solid", color="blue", weight=9];
13.28/5.29	821 -> 299[label="",style="solid", color="blue", weight=3];
13.28/5.29	822[label="== :: Ordering -> Ordering -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 822[label="",style="solid", color="blue", weight=9];
13.28/5.29	822 -> 300[label="",style="solid", color="blue", weight=3];
13.28/5.29	823[label="== :: (Either a b) -> (Either a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 823[label="",style="solid", color="blue", weight=9];
13.28/5.29	823 -> 301[label="",style="solid", color="blue", weight=3];
13.28/5.29	824[label="== :: (Maybe a) -> (Maybe a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 824[label="",style="solid", color="blue", weight=9];
13.28/5.29	824 -> 302[label="",style="solid", color="blue", weight=3];
13.28/5.29	825[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 825[label="",style="solid", color="blue", weight=9];
13.28/5.29	825 -> 303[label="",style="solid", color="blue", weight=3];
13.28/5.29	826[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 826[label="",style="solid", color="blue", weight=9];
13.28/5.29	826 -> 304[label="",style="solid", color="blue", weight=3];
13.28/5.29	827[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 827[label="",style="solid", color="blue", weight=9];
13.28/5.29	827 -> 305[label="",style="solid", color="blue", weight=3];
13.28/5.29	828[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 828[label="",style="solid", color="blue", weight=9];
13.28/5.29	828 -> 306[label="",style="solid", color="blue", weight=3];
13.28/5.29	829[label="== :: ((@3) a b c) -> ((@3) a b c) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 829[label="",style="solid", color="blue", weight=9];
13.28/5.29	829 -> 307[label="",style="solid", color="blue", weight=3];
13.28/5.29	830[label="== :: Double -> Double -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 830[label="",style="solid", color="blue", weight=9];
13.28/5.29	830 -> 308[label="",style="solid", color="blue", weight=3];
13.28/5.29	831[label="== :: Int -> Int -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 831[label="",style="solid", color="blue", weight=9];
13.28/5.29	831 -> 309[label="",style="solid", color="blue", weight=3];
13.28/5.29	832[label="== :: ((@2) a b) -> ((@2) a b) -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 832[label="",style="solid", color="blue", weight=9];
13.28/5.29	832 -> 310[label="",style="solid", color="blue", weight=3];
13.28/5.29	833[label="== :: Float -> Float -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 833[label="",style="solid", color="blue", weight=9];
13.28/5.29	833 -> 311[label="",style="solid", color="blue", weight=3];
13.28/5.29	834[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];253 -> 834[label="",style="solid", color="blue", weight=9];
13.28/5.29	834 -> 312[label="",style="solid", color="blue", weight=3];
13.28/5.29	254[label="primEqChar (Char xy3000) (Char xy4000)",fontsize=16,color="black",shape="box"];254 -> 313[label="",style="solid", color="black", weight=3];
13.28/5.29	255[label="True",fontsize=16,color="green",shape="box"];256[label="False",fontsize=16,color="green",shape="box"];257[label="False",fontsize=16,color="green",shape="box"];258[label="True",fontsize=16,color="green",shape="box"];259 -> 98[label="",style="dashed", color="red", weight=0];
13.28/5.29	259[label="xy3000 == xy4000 && xy3001 == xy4001",fontsize=16,color="magenta"];259 -> 314[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	259 -> 315[label="",style="dashed", color="magenta", weight=3];
13.28/5.29	260 -> 166[label="",style="dashed", color="red", weight=0];
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13.28/5.29	261 -> 98[label="",style="dashed", color="red", weight=0];
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13.28/5.29	261 -> 319[label="",style="dashed", color="magenta", weight=3];
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13.28/5.29	263[label="primEqInt (Pos (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];835[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];263 -> 835[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	835 -> 321[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	836[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];263 -> 836[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	836 -> 322[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	264[label="primEqInt (Pos Zero) xy400",fontsize=16,color="burlywood",shape="box"];837[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];264 -> 837[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	837 -> 323[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	838[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];264 -> 838[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	838 -> 324[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	265[label="primEqInt (Neg (Succ xy30000)) xy400",fontsize=16,color="burlywood",shape="box"];839[label="xy400/Pos xy4000",fontsize=10,color="white",style="solid",shape="box"];265 -> 839[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	839 -> 325[label="",style="solid", color="burlywood", weight=3];
13.28/5.29	840[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];265 -> 840[label="",style="solid", color="burlywood", weight=9];
13.28/5.29	840 -> 326[label="",style="solid", color="burlywood", weight=3];
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13.28/5.29	842[label="xy400/Neg xy4000",fontsize=10,color="white",style="solid",shape="box"];266 -> 842[label="",style="solid", color="burlywood", weight=9];
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13.28/5.29	267[label="primEqFloat (Float xy3000 xy3001) (Float xy4000 xy4001)",fontsize=16,color="black",shape="box"];267 -> 329[label="",style="solid", color="black", weight=3];
13.28/5.29	268[label="True",fontsize=16,color="green",shape="box"];269[label="xy3000 == xy4000",fontsize=16,color="blue",shape="box"];843[label="== :: ([] a) -> ([] a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 843[label="",style="solid", color="blue", weight=9];
13.28/5.29	843 -> 330[label="",style="solid", color="blue", weight=3];
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13.28/5.29	847[label="== :: Char -> Char -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 847[label="",style="solid", color="blue", weight=9];
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13.28/5.29	848[label="== :: Bool -> Bool -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 848[label="",style="solid", color="blue", weight=9];
13.28/5.29	848 -> 335[label="",style="solid", color="blue", weight=3];
13.28/5.29	849[label="== :: (Ratio a) -> (Ratio a) -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 849[label="",style="solid", color="blue", weight=9];
13.28/5.29	849 -> 336[label="",style="solid", color="blue", weight=3];
13.28/5.29	850[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 850[label="",style="solid", color="blue", weight=9];
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13.28/5.29	852 -> 339[label="",style="solid", color="blue", weight=3];
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13.28/5.29	856[label="== :: () -> () -> Bool",fontsize=10,color="white",style="solid",shape="box"];269 -> 856[label="",style="solid", color="blue", weight=9];
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13.28/5.29	270 -> 122[label="",style="dashed", color="red", weight=0];
13.28/5.29	270[label="xy3001 == xy4001",fontsize=16,color="magenta"];270 -> 344[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	863 -> 436[label="",style="solid", color="blue", weight=3];
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13.28/5.30	866 -> 439[label="",style="solid", color="blue", weight=3];
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13.28/5.30	869 -> 442[label="",style="solid", color="blue", weight=3];
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13.28/5.30	326[label="primEqInt (Neg (Succ xy30000)) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];883[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];326 -> 883[label="",style="solid", color="burlywood", weight=9];
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13.28/5.30	328[label="primEqInt (Neg Zero) (Neg xy4000)",fontsize=16,color="burlywood",shape="box"];887[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];328 -> 887[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	887 -> 466[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	888[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];328 -> 888[label="",style="solid", color="burlywood", weight=9];
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13.28/5.30	329 -> 132[label="",style="dashed", color="red", weight=0];
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13.28/5.30	329 -> 469[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	330[label="xy3000 == xy4000",fontsize=16,color="magenta"];330 -> 470[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	331[label="xy3000 == xy4000",fontsize=16,color="magenta"];331 -> 472[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	332[label="xy3000 == xy4000",fontsize=16,color="magenta"];332 -> 474[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	333[label="xy3000 == xy4000",fontsize=16,color="magenta"];333 -> 476[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	334[label="xy3000 == xy4000",fontsize=16,color="magenta"];334 -> 478[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	335[label="xy3000 == xy4000",fontsize=16,color="magenta"];335 -> 480[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	336[label="xy3000 == xy4000",fontsize=16,color="magenta"];336 -> 482[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	337[label="xy3000 == xy4000",fontsize=16,color="magenta"];337 -> 484[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	337 -> 485[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	338[label="xy3000 == xy4000",fontsize=16,color="magenta"];338 -> 486[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	339 -> 131[label="",style="dashed", color="red", weight=0];
13.28/5.30	339[label="xy3000 == xy4000",fontsize=16,color="magenta"];339 -> 488[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	339 -> 489[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	340 -> 132[label="",style="dashed", color="red", weight=0];
13.28/5.30	340[label="xy3000 == xy4000",fontsize=16,color="magenta"];340 -> 490[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	340 -> 491[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	341[label="xy3000 == xy4000",fontsize=16,color="magenta"];341 -> 492[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	341 -> 493[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	342 -> 134[label="",style="dashed", color="red", weight=0];
13.28/5.30	342[label="xy3000 == xy4000",fontsize=16,color="magenta"];342 -> 494[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	342 -> 495[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	343 -> 135[label="",style="dashed", color="red", weight=0];
13.28/5.30	343[label="xy3000 == xy4000",fontsize=16,color="magenta"];343 -> 496[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	343 -> 497[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	889 -> 498[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	890[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];430 -> 890[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	890 -> 499[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	431[label="primEqNat Zero xy4000",fontsize=16,color="burlywood",shape="box"];891[label="xy4000/Succ xy40000",fontsize=10,color="white",style="solid",shape="box"];431 -> 891[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	891 -> 500[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	892[label="xy4000/Zero",fontsize=10,color="white",style="solid",shape="box"];431 -> 892[label="",style="solid", color="burlywood", weight=9];
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13.28/5.30	432[label="xy3000 == xy4000",fontsize=16,color="magenta"];432 -> 502[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	433 -> 132[label="",style="dashed", color="red", weight=0];
13.28/5.30	433[label="xy3000 == xy4000",fontsize=16,color="magenta"];433 -> 504[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	434 -> 129[label="",style="dashed", color="red", weight=0];
13.28/5.30	434[label="xy3001 == xy4001",fontsize=16,color="magenta"];434 -> 506[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	434 -> 507[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	435 -> 132[label="",style="dashed", color="red", weight=0];
13.28/5.30	435[label="xy3001 == xy4001",fontsize=16,color="magenta"];435 -> 508[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	435 -> 509[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	436 -> 122[label="",style="dashed", color="red", weight=0];
13.28/5.30	436[label="xy3000 == xy4000",fontsize=16,color="magenta"];436 -> 510[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	437[label="xy3000 == xy4000",fontsize=16,color="magenta"];437 -> 512[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	438[label="xy3000 == xy4000",fontsize=16,color="magenta"];438 -> 514[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	439[label="xy3000 == xy4000",fontsize=16,color="magenta"];439 -> 516[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	439 -> 517[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	440 -> 126[label="",style="dashed", color="red", weight=0];
13.28/5.30	440[label="xy3000 == xy4000",fontsize=16,color="magenta"];440 -> 518[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	441 -> 127[label="",style="dashed", color="red", weight=0];
13.28/5.30	441[label="xy3000 == xy4000",fontsize=16,color="magenta"];441 -> 520[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	442 -> 128[label="",style="dashed", color="red", weight=0];
13.28/5.30	442[label="xy3000 == xy4000",fontsize=16,color="magenta"];442 -> 522[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	442 -> 523[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	443 -> 129[label="",style="dashed", color="red", weight=0];
13.28/5.30	443[label="xy3000 == xy4000",fontsize=16,color="magenta"];443 -> 524[label="",style="dashed", color="magenta", weight=3];
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13.28/5.30	444 -> 130[label="",style="dashed", color="red", weight=0];
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13.28/5.30	445 -> 131[label="",style="dashed", color="red", weight=0];
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13.28/5.30	446 -> 132[label="",style="dashed", color="red", weight=0];
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13.28/5.30	893 -> 538[label="",style="solid", color="blue", weight=3];
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13.28/5.30	899 -> 544[label="",style="solid", color="blue", weight=3];
13.28/5.30	900[label="== :: Integer -> Integer -> Bool",fontsize=10,color="white",style="solid",shape="box"];450 -> 900[label="",style="solid", color="blue", weight=9];
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13.28/5.30	585[label="primEqNat xy30000 xy40000",fontsize=16,color="magenta"];585 -> 651[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	585 -> 652[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	586[label="False",fontsize=16,color="green",shape="box"];587[label="False",fontsize=16,color="green",shape="box"];588[label="True",fontsize=16,color="green",shape="box"];589[label="xy3001",fontsize=16,color="green",shape="box"];590[label="xy4001",fontsize=16,color="green",shape="box"];591[label="xy3001",fontsize=16,color="green",shape="box"];592[label="xy4001",fontsize=16,color="green",shape="box"];593[label="xy3001",fontsize=16,color="green",shape="box"];594[label="xy4001",fontsize=16,color="green",shape="box"];595[label="xy3001",fontsize=16,color="green",shape="box"];596[label="xy4001",fontsize=16,color="green",shape="box"];597[label="xy3001",fontsize=16,color="green",shape="box"];598[label="xy4001",fontsize=16,color="green",shape="box"];599[label="xy3001",fontsize=16,color="green",shape="box"];600[label="xy4001",fontsize=16,color="green",shape="box"];601[label="xy3001",fontsize=16,color="green",shape="box"];602[label="xy4001",fontsize=16,color="green",shape="box"];603[label="xy3001",fontsize=16,color="green",shape="box"];604[label="xy4001",fontsize=16,color="green",shape="box"];605[label="xy3001",fontsize=16,color="green",shape="box"];606[label="xy4001",fontsize=16,color="green",shape="box"];607[label="xy3001",fontsize=16,color="green",shape="box"];608[label="xy4001",fontsize=16,color="green",shape="box"];609[label="xy3001",fontsize=16,color="green",shape="box"];610[label="xy4001",fontsize=16,color="green",shape="box"];611[label="xy3001",fontsize=16,color="green",shape="box"];612[label="xy4001",fontsize=16,color="green",shape="box"];613[label="xy3001",fontsize=16,color="green",shape="box"];614[label="xy4001",fontsize=16,color="green",shape="box"];615[label="xy3001",fontsize=16,color="green",shape="box"];616[label="xy4001",fontsize=16,color="green",shape="box"];617[label="xy3002",fontsize=16,color="green",shape="box"];618[label="xy4002",fontsize=16,color="green",shape="box"];619[label="xy3002",fontsize=16,color="green",shape="box"];620[label="xy4002",fontsize=16,color="green",shape="box"];621[label="xy3002",fontsize=16,color="green",shape="box"];622[label="xy4002",fontsize=16,color="green",shape="box"];623[label="xy3002",fontsize=16,color="green",shape="box"];624[label="xy4002",fontsize=16,color="green",shape="box"];625[label="xy3002",fontsize=16,color="green",shape="box"];626[label="xy4002",fontsize=16,color="green",shape="box"];627[label="xy3002",fontsize=16,color="green",shape="box"];628[label="xy4002",fontsize=16,color="green",shape="box"];629[label="xy3002",fontsize=16,color="green",shape="box"];630[label="xy4002",fontsize=16,color="green",shape="box"];631[label="xy3002",fontsize=16,color="green",shape="box"];632[label="xy4002",fontsize=16,color="green",shape="box"];633[label="xy3002",fontsize=16,color="green",shape="box"];634[label="xy4002",fontsize=16,color="green",shape="box"];635[label="xy3002",fontsize=16,color="green",shape="box"];636[label="xy4002",fontsize=16,color="green",shape="box"];637[label="xy3002",fontsize=16,color="green",shape="box"];638[label="xy4002",fontsize=16,color="green",shape="box"];639[label="xy3002",fontsize=16,color="green",shape="box"];640[label="xy4002",fontsize=16,color="green",shape="box"];641[label="xy3002",fontsize=16,color="green",shape="box"];642[label="xy4002",fontsize=16,color="green",shape="box"];643[label="xy3002",fontsize=16,color="green",shape="box"];644[label="xy4002",fontsize=16,color="green",shape="box"];645[label="primMulInt (Pos xy30000) xy4001",fontsize=16,color="burlywood",shape="box"];923[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];645 -> 923[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	923 -> 653[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	924[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];645 -> 924[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	924 -> 654[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	646[label="primMulInt (Neg xy30000) xy4001",fontsize=16,color="burlywood",shape="box"];925[label="xy4001/Pos xy40010",fontsize=10,color="white",style="solid",shape="box"];646 -> 925[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	925 -> 655[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	926[label="xy4001/Neg xy40010",fontsize=10,color="white",style="solid",shape="box"];646 -> 926[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	926 -> 656[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	647[label="xy30000",fontsize=16,color="green",shape="box"];648[label="xy40000",fontsize=16,color="green",shape="box"];649[label="xy30000",fontsize=16,color="green",shape="box"];650[label="xy40000",fontsize=16,color="green",shape="box"];651[label="xy30000",fontsize=16,color="green",shape="box"];652[label="xy40000",fontsize=16,color="green",shape="box"];653[label="primMulInt (Pos xy30000) (Pos xy40010)",fontsize=16,color="black",shape="box"];653 -> 657[label="",style="solid", color="black", weight=3];
13.28/5.30	654[label="primMulInt (Pos xy30000) (Neg xy40010)",fontsize=16,color="black",shape="box"];654 -> 658[label="",style="solid", color="black", weight=3];
13.28/5.30	655[label="primMulInt (Neg xy30000) (Pos xy40010)",fontsize=16,color="black",shape="box"];655 -> 659[label="",style="solid", color="black", weight=3];
13.28/5.30	656[label="primMulInt (Neg xy30000) (Neg xy40010)",fontsize=16,color="black",shape="box"];656 -> 660[label="",style="solid", color="black", weight=3];
13.28/5.30	657[label="Pos (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];657 -> 661[label="",style="dashed", color="green", weight=3];
13.28/5.30	658[label="Neg (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];658 -> 662[label="",style="dashed", color="green", weight=3];
13.28/5.30	659[label="Neg (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];659 -> 663[label="",style="dashed", color="green", weight=3];
13.28/5.30	660[label="Pos (primMulNat xy30000 xy40010)",fontsize=16,color="green",shape="box"];660 -> 664[label="",style="dashed", color="green", weight=3];
13.28/5.30	661[label="primMulNat xy30000 xy40010",fontsize=16,color="burlywood",shape="triangle"];927[label="xy30000/Succ xy300000",fontsize=10,color="white",style="solid",shape="box"];661 -> 927[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	927 -> 665[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	928[label="xy30000/Zero",fontsize=10,color="white",style="solid",shape="box"];661 -> 928[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	928 -> 666[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	662 -> 661[label="",style="dashed", color="red", weight=0];
13.28/5.30	662[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];662 -> 667[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	663 -> 661[label="",style="dashed", color="red", weight=0];
13.28/5.30	663[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];663 -> 668[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	664 -> 661[label="",style="dashed", color="red", weight=0];
13.28/5.30	664[label="primMulNat xy30000 xy40010",fontsize=16,color="magenta"];664 -> 669[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	664 -> 670[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	665[label="primMulNat (Succ xy300000) xy40010",fontsize=16,color="burlywood",shape="box"];929[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];665 -> 929[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	929 -> 671[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	930[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];665 -> 930[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	930 -> 672[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	666[label="primMulNat Zero xy40010",fontsize=16,color="burlywood",shape="box"];931[label="xy40010/Succ xy400100",fontsize=10,color="white",style="solid",shape="box"];666 -> 931[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	931 -> 673[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	932[label="xy40010/Zero",fontsize=10,color="white",style="solid",shape="box"];666 -> 932[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	932 -> 674[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	667[label="xy40010",fontsize=16,color="green",shape="box"];668[label="xy30000",fontsize=16,color="green",shape="box"];669[label="xy30000",fontsize=16,color="green",shape="box"];670[label="xy40010",fontsize=16,color="green",shape="box"];671[label="primMulNat (Succ xy300000) (Succ xy400100)",fontsize=16,color="black",shape="box"];671 -> 675[label="",style="solid", color="black", weight=3];
13.28/5.30	672[label="primMulNat (Succ xy300000) Zero",fontsize=16,color="black",shape="box"];672 -> 676[label="",style="solid", color="black", weight=3];
13.28/5.30	673[label="primMulNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];673 -> 677[label="",style="solid", color="black", weight=3];
13.28/5.30	674[label="primMulNat Zero Zero",fontsize=16,color="black",shape="box"];674 -> 678[label="",style="solid", color="black", weight=3];
13.28/5.30	675 -> 679[label="",style="dashed", color="red", weight=0];
13.28/5.30	675[label="primPlusNat (primMulNat xy300000 (Succ xy400100)) (Succ xy400100)",fontsize=16,color="magenta"];675 -> 680[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	676[label="Zero",fontsize=16,color="green",shape="box"];677[label="Zero",fontsize=16,color="green",shape="box"];678[label="Zero",fontsize=16,color="green",shape="box"];680 -> 661[label="",style="dashed", color="red", weight=0];
13.28/5.30	680[label="primMulNat xy300000 (Succ xy400100)",fontsize=16,color="magenta"];680 -> 681[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	680 -> 682[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	679[label="primPlusNat xy20 (Succ xy400100)",fontsize=16,color="burlywood",shape="triangle"];933[label="xy20/Succ xy200",fontsize=10,color="white",style="solid",shape="box"];679 -> 933[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	933 -> 683[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	934[label="xy20/Zero",fontsize=10,color="white",style="solid",shape="box"];679 -> 934[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	934 -> 684[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	681[label="xy300000",fontsize=16,color="green",shape="box"];682[label="Succ xy400100",fontsize=16,color="green",shape="box"];683[label="primPlusNat (Succ xy200) (Succ xy400100)",fontsize=16,color="black",shape="box"];683 -> 685[label="",style="solid", color="black", weight=3];
13.28/5.30	684[label="primPlusNat Zero (Succ xy400100)",fontsize=16,color="black",shape="box"];684 -> 686[label="",style="solid", color="black", weight=3];
13.28/5.30	685[label="Succ (Succ (primPlusNat xy200 xy400100))",fontsize=16,color="green",shape="box"];685 -> 687[label="",style="dashed", color="green", weight=3];
13.28/5.30	686[label="Succ xy400100",fontsize=16,color="green",shape="box"];687[label="primPlusNat xy200 xy400100",fontsize=16,color="burlywood",shape="triangle"];935[label="xy200/Succ xy2000",fontsize=10,color="white",style="solid",shape="box"];687 -> 935[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	935 -> 688[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	936[label="xy200/Zero",fontsize=10,color="white",style="solid",shape="box"];687 -> 936[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	936 -> 689[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	688[label="primPlusNat (Succ xy2000) xy400100",fontsize=16,color="burlywood",shape="box"];937[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];688 -> 937[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	937 -> 690[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	938[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];688 -> 938[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	938 -> 691[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	689[label="primPlusNat Zero xy400100",fontsize=16,color="burlywood",shape="box"];939[label="xy400100/Succ xy4001000",fontsize=10,color="white",style="solid",shape="box"];689 -> 939[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	939 -> 692[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	940[label="xy400100/Zero",fontsize=10,color="white",style="solid",shape="box"];689 -> 940[label="",style="solid", color="burlywood", weight=9];
13.28/5.30	940 -> 693[label="",style="solid", color="burlywood", weight=3];
13.28/5.30	690[label="primPlusNat (Succ xy2000) (Succ xy4001000)",fontsize=16,color="black",shape="box"];690 -> 694[label="",style="solid", color="black", weight=3];
13.28/5.30	691[label="primPlusNat (Succ xy2000) Zero",fontsize=16,color="black",shape="box"];691 -> 695[label="",style="solid", color="black", weight=3];
13.28/5.30	692[label="primPlusNat Zero (Succ xy4001000)",fontsize=16,color="black",shape="box"];692 -> 696[label="",style="solid", color="black", weight=3];
13.28/5.30	693[label="primPlusNat Zero Zero",fontsize=16,color="black",shape="box"];693 -> 697[label="",style="solid", color="black", weight=3];
13.28/5.30	694[label="Succ (Succ (primPlusNat xy2000 xy4001000))",fontsize=16,color="green",shape="box"];694 -> 698[label="",style="dashed", color="green", weight=3];
13.28/5.30	695[label="Succ xy2000",fontsize=16,color="green",shape="box"];696[label="Succ xy4001000",fontsize=16,color="green",shape="box"];697[label="Zero",fontsize=16,color="green",shape="box"];698 -> 687[label="",style="dashed", color="red", weight=0];
13.28/5.30	698[label="primPlusNat xy2000 xy4001000",fontsize=16,color="magenta"];698 -> 699[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	698 -> 700[label="",style="dashed", color="magenta", weight=3];
13.28/5.30	699[label="xy2000",fontsize=16,color="green",shape="box"];700[label="xy4001000",fontsize=16,color="green",shape="box"];}
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(6)
13.28/5.30	Complex Obligation (AND)
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(7)
13.28/5.30	Obligation:
13.28/5.30	Q DP problem:
13.28/5.30	The TRS P consists of the following rules:
13.28/5.30	
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(app(ty_@2, bae), baf)), gd), bbh) -> new_esEs3(xy3001, xy4001, bae, baf)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_Either, ge), gf)), gc), gd), bbh) -> new_esEs0(xy3000, xy4000, ge, gf)
13.28/5.30	   new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, bh), ca)) -> new_esEs3(xy3000, xy4000, bh, ca)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(ty_[], bag)) -> new_esEs(xy3002, xy4002, bag)
13.28/5.30	   new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, bd)) -> new_esEs1(xy3000, xy4000, bd)
13.28/5.30	   new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(ty_[], cc)), cd), bbh) -> new_esEs(xy3000, xy4000, cc)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(ty_[], hf), gd) -> new_esEs(xy3001, xy4001, hf)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_[], gb)), gc), gd), bbh) -> new_esEs(xy3000, xy4000, gb)
13.28/5.30	   new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], ba)) -> new_esEs(xy3000, xy4000, ba)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(ty_Maybe, baa)), gd), bbh) -> new_esEs1(xy3001, xy4001, baa)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(app(ty_@2, bae), baf), gd) -> new_esEs3(xy3001, xy4001, bae, baf)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], gb), gc, gd) -> new_esEs(xy3000, xy4000, gb)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(app(app(ty_@3, bab), bac), bad), gd) -> new_esEs2(xy3001, xy4001, bab, bac, bad)
13.28/5.30	   new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(app(app(ty_@3, ec), ed), ee)), bbh) -> new_esEs2(xy3000, xy4000, ec, ed, ee)
13.28/5.30	   new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(ty_Maybe, bcg)) -> new_esEs1(xy301, xy401, bcg)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, gh), ha), hb), gc, gd) -> new_esEs2(xy3000, xy4000, gh, ha, hb)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(app(ty_@2, bbf), bbg)), bbh) -> new_esEs3(xy3002, xy4002, bbf, bbg)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(app(ty_Either, bah), bba)), bbh) -> new_esEs0(xy3002, xy4002, bah, bba)
13.28/5.30	   new_esEs0(Left(xy3000), Left(xy4000), app(app(ty_Either, ce), cf), cd) -> new_esEs0(xy3000, xy4000, ce, cf)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(app(ty_Either, bah), bba)) -> new_esEs0(xy3002, xy4002, bah, bba)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(app(app(ty_@3, bbc), bbd), bbe)), bbh) -> new_esEs2(xy3002, xy4002, bbc, bbd, bbe)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_Maybe, gg)), gc), gd), bbh) -> new_esEs1(xy3000, xy4000, gg)
13.28/5.30	   new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(ty_Maybe, cg)), cd), bbh) -> new_esEs1(xy3000, xy4000, cg)
13.28/5.30	   new_esEs0(Right(xy3000), Right(xy4000), df, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs2(xy3000, xy4000, ec, ed, ee)
13.28/5.30	   new_esEs1(Just(xy3000), Just(xy4000), app(ty_Maybe, fc)) -> new_esEs1(xy3000, xy4000, fc)
13.28/5.30	   new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_Either, fa), fb)), bbh) -> new_esEs0(xy3000, xy4000, fa, fb)
13.28/5.30	   new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs2(xy301, xy401, bch, bda, bdb)
13.28/5.30	   new_esEs0(Left(xy3000), Left(xy4000), app(ty_[], cc), cd) -> new_esEs(xy3000, xy4000, cc)
13.28/5.30	   new_esEs0(Left(xy3000), Left(xy4000), app(ty_Maybe, cg), cd) -> new_esEs1(xy3000, xy4000, cg)
13.28/5.30	   new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(app(ty_@3, da), db), dc)), cd), bbh) -> new_esEs2(xy3000, xy4000, da, db, dc)
13.28/5.30	   new_esEs1(Just(xy3000), Just(xy4000), app(app(ty_Either, fa), fb)) -> new_esEs0(xy3000, xy4000, fa, fb)
13.28/5.30	   new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(ty_Either, bce), bcf)) -> new_esEs0(xy301, xy401, bce, bcf)
13.28/5.30	   new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(ty_Either, bb), bc)), bbh) -> new_esEs0(xy3000, xy4000, bb, bc)
13.28/5.30	   new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(ty_@2, bh), ca)), bbh) -> new_esEs3(xy3000, xy4000, bh, ca)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(app(ty_@3, gh), ha), hb)), gc), gd), bbh) -> new_esEs2(xy3000, xy4000, gh, ha, hb)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(app(ty_@2, bbf), bbg)) -> new_esEs3(xy3002, xy4002, bbf, bbg)
13.28/5.30	   new_esEs0(Right(xy3000), Right(xy4000), df, app(app(ty_Either, dh), ea)) -> new_esEs0(xy3000, xy4000, dh, ea)
13.28/5.30	   new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], cb), bbh) -> new_esEs(xy3001, xy4001, cb)
13.28/5.30	   new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), cb) -> new_esEs(xy3001, xy4001, cb)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, gg), gc, gd) -> new_esEs1(xy3000, xy4000, gg)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(ty_[], hf)), gd), bbh) -> new_esEs(xy3001, xy4001, hf)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(app(ty_Either, hg), hh)), gd), bbh) -> new_esEs0(xy3001, xy4001, hg, hh)
13.28/5.30	   new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(app(ty_@3, fd), ff), fg)), bbh) -> new_esEs2(xy3000, xy4000, fd, ff, fg)
13.28/5.30	   new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_@2, fh), ga)), bbh) -> new_esEs3(xy3000, xy4000, fh, ga)
13.28/5.30	   new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(app(ty_Either, dh), ea)), bbh) -> new_esEs0(xy3000, xy4000, dh, ea)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(ty_Maybe, baa), gd) -> new_esEs1(xy3001, xy4001, baa)
13.28/5.30	   new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(ty_Maybe, fc)), bbh) -> new_esEs1(xy3000, xy4000, fc)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, hc), hd), gc, gd) -> new_esEs3(xy3000, xy4000, hc, hd)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(ty_Maybe, bbb)) -> new_esEs1(xy3002, xy4002, bbb)
13.28/5.30	   new_esEs0(Right(xy3000), Right(xy4000), df, app(ty_[], dg)) -> new_esEs(xy3000, xy4000, dg)
13.28/5.30	   new_esEs1(Just(xy3000), Just(xy4000), app(app(ty_@2, fh), ga)) -> new_esEs3(xy3000, xy4000, fh, ga)
13.28/5.30	   new_esEs0(Left(xy3000), Left(xy4000), app(app(app(ty_@3, da), db), dc), cd) -> new_esEs2(xy3000, xy4000, da, db, dc)
13.28/5.30	   new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(ty_@2, bdc), bdd)) -> new_esEs3(xy301, xy401, bdc, bdd)
13.28/5.30	   new_esEs0(Left(xy3000), Left(xy4000), app(app(ty_@2, dd), de), cd) -> new_esEs3(xy3000, xy4000, dd, de)
13.28/5.30	   new_esEs0(Right(xy3000), Right(xy4000), df, app(app(ty_@2, ef), eg)) -> new_esEs3(xy3000, xy4000, ef, eg)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(app(ty_Either, hg), hh), gd) -> new_esEs0(xy3001, xy4001, hg, hh)
13.28/5.30	   new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(ty_Maybe, bd)), bbh) -> new_esEs1(xy3000, xy4000, bd)
13.28/5.30	   new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(app(ty_@3, be), bf), bg)), bbh) -> new_esEs2(xy3000, xy4000, be, bf, bg)
13.28/5.30	   new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(ty_[], eh)), bbh) -> new_esEs(xy3000, xy4000, eh)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, ge), gf), gc, gd) -> new_esEs0(xy3000, xy4000, ge, gf)
13.28/5.30	   new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_Either, ce), cf)), cd), bbh) -> new_esEs0(xy3000, xy4000, ce, cf)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_@2, hc), hd)), gc), gd), bbh) -> new_esEs3(xy3000, xy4000, hc, hd)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(app(app(ty_@3, bab), bac), bad)), gd), bbh) -> new_esEs2(xy3001, xy4001, bab, bac, bad)
13.28/5.30	   new_esEs3(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_@2, bca), bcb), bbh) -> new_esEs3(xy300, xy400, bca, bcb)
13.28/5.30	   new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(ty_[], bcd)) -> new_esEs(xy301, xy401, bcd)
13.28/5.30	   new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_@2, dd), de)), cd), bbh) -> new_esEs3(xy3000, xy4000, dd, de)
13.28/5.30	   new_esEs0(Right(xy3000), Right(xy4000), df, app(ty_Maybe, eb)) -> new_esEs1(xy3000, xy4000, eb)
13.28/5.30	   new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, bb), bc)) -> new_esEs0(xy3000, xy4000, bb, bc)
13.28/5.30	   new_esEs1(Just(xy3000), Just(xy4000), app(ty_[], eh)) -> new_esEs(xy3000, xy4000, eh)
13.28/5.30	   new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(app(ty_@2, ef), eg)), bbh) -> new_esEs3(xy3000, xy4000, ef, eg)
13.28/5.30	   new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(ty_[], dg)), bbh) -> new_esEs(xy3000, xy4000, dg)
13.28/5.30	   new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs2(xy3002, xy4002, bbc, bbd, bbe)
13.28/5.30	   new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(ty_Maybe, eb)), bbh) -> new_esEs1(xy3000, xy4000, eb)
13.28/5.30	   new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(ty_[], ba)), bbh) -> new_esEs(xy3000, xy4000, ba)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(ty_Maybe, bbb)), bbh) -> new_esEs1(xy3002, xy4002, bbb)
13.28/5.30	   new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, be), bf), bg)) -> new_esEs2(xy3000, xy4000, be, bf, bg)
13.28/5.30	   new_esEs1(Just(xy3000), Just(xy4000), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs2(xy3000, xy4000, fd, ff, fg)
13.28/5.30	   new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(ty_[], bag)), bbh) -> new_esEs(xy3002, xy4002, bag)
13.28/5.30	
13.28/5.30	R is empty.
13.28/5.30	Q is empty.
13.28/5.30	We have to consider all minimal (P,Q,R)-chains.
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(8) QDPSizeChangeProof (EQUIVALENT)
13.28/5.30	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. 
13.28/5.30	
13.28/5.30	From the DPs we obtained the following set of size-change graphs:
13.28/5.30	*new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_@2, bh), ca)) -> new_esEs3(xy3000, xy4000, bh, ca)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(app(ty_@3, be), bf), bg)) -> new_esEs2(xy3000, xy4000, be, bf, bg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs1(Just(xy3000), Just(xy4000), app(app(ty_@2, fh), ga)) -> new_esEs3(xy3000, xy4000, fh, ga)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs1(Just(xy3000), Just(xy4000), app(ty_[], eh)) -> new_esEs(xy3000, xy4000, eh)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs1(Just(xy3000), Just(xy4000), app(app(app(ty_@3, fd), ff), fg)) -> new_esEs2(xy3000, xy4000, fd, ff, fg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(app(ty_Either, bb), bc)) -> new_esEs0(xy3000, xy4000, bb, bc)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_Maybe, bd)) -> new_esEs1(xy3000, xy4000, bd)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs1(Just(xy3000), Just(xy4000), app(app(ty_Either, fa), fb)) -> new_esEs0(xy3000, xy4000, fa, fb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs1(Just(xy3000), Just(xy4000), app(ty_Maybe, fc)) -> new_esEs1(xy3000, xy4000, fc)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(app(ty_@2, bae), baf)), gd), bbh) -> new_esEs3(xy3001, xy4001, bae, baf)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(app(ty_@2, bbf), bbg)), bbh) -> new_esEs3(xy3002, xy4002, bbf, bbg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(ty_@2, bh), ca)), bbh) -> new_esEs3(xy3000, xy4000, bh, ca)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_@2, fh), ga)), bbh) -> new_esEs3(xy3000, xy4000, fh, ga)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(ty_@2, bdc), bdd)) -> new_esEs3(xy301, xy401, bdc, bdd)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_@2, hc), hd)), gc), gd), bbh) -> new_esEs3(xy3000, xy4000, hc, hd)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(xy300, xy301), @2(xy400, xy401), app(app(ty_@2, bca), bcb), bbh) -> new_esEs3(xy300, xy400, bca, bcb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_@2, dd), de)), cd), bbh) -> new_esEs3(xy3000, xy4000, dd, de)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(app(ty_@2, ef), eg)), bbh) -> new_esEs3(xy3000, xy4000, ef, eg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(ty_[], cc)), cd), bbh) -> new_esEs(xy3000, xy4000, cc)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_[], gb)), gc), gd), bbh) -> new_esEs(xy3000, xy4000, gb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], cb), bbh) -> new_esEs(xy3001, xy4001, cb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(ty_[], hf)), gd), bbh) -> new_esEs(xy3001, xy4001, hf)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(ty_[], eh)), bbh) -> new_esEs(xy3000, xy4000, eh)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(ty_[], bcd)) -> new_esEs(xy301, xy401, bcd)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(ty_[], dg)), bbh) -> new_esEs(xy3000, xy4000, dg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(ty_[], ba)), bbh) -> new_esEs(xy3000, xy4000, ba)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(ty_[], bag)), bbh) -> new_esEs(xy3002, xy4002, bag)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(app(app(ty_@3, ec), ed), ee)), bbh) -> new_esEs2(xy3000, xy4000, ec, ed, ee)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(app(app(ty_@3, bbc), bbd), bbe)), bbh) -> new_esEs2(xy3002, xy4002, bbc, bbd, bbe)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(app(ty_@3, bch), bda), bdb)) -> new_esEs2(xy301, xy401, bch, bda, bdb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(app(ty_@3, da), db), dc)), cd), bbh) -> new_esEs2(xy3000, xy4000, da, db, dc)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(app(ty_@3, gh), ha), hb)), gc), gd), bbh) -> new_esEs2(xy3000, xy4000, gh, ha, hb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(app(ty_@3, fd), ff), fg)), bbh) -> new_esEs2(xy3000, xy4000, fd, ff, fg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(app(ty_@3, be), bf), bg)), bbh) -> new_esEs2(xy3000, xy4000, be, bf, bg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(app(app(ty_@3, bab), bac), bad)), gd), bbh) -> new_esEs2(xy3001, xy4001, bab, bac, bad)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(app(ty_Either, ge), gf)), gc), gd), bbh) -> new_esEs0(xy3000, xy4000, ge, gf)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(app(ty_Either, bah), bba)), bbh) -> new_esEs0(xy3002, xy4002, bah, bba)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(app(ty_Either, fa), fb)), bbh) -> new_esEs0(xy3000, xy4000, fa, fb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(app(ty_Either, bce), bcf)) -> new_esEs0(xy301, xy401, bce, bcf)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(app(ty_Either, bb), bc)), bbh) -> new_esEs0(xy3000, xy4000, bb, bc)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(app(ty_Either, hg), hh)), gd), bbh) -> new_esEs0(xy3001, xy4001, hg, hh)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(app(ty_Either, dh), ea)), bbh) -> new_esEs0(xy3000, xy4000, dh, ea)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(app(ty_Either, ce), cf)), cd), bbh) -> new_esEs0(xy3000, xy4000, ce, cf)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), app(ty_Maybe, baa)), gd), bbh) -> new_esEs1(xy3001, xy4001, baa)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(xy300, xy301), @2(xy400, xy401), bcc, app(ty_Maybe, bcg)) -> new_esEs1(xy301, xy401, bcg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, app(ty_Maybe, gg)), gc), gd), bbh) -> new_esEs1(xy3000, xy4000, gg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Left(xy3000), xy301), @2(Left(xy4000), xy401), app(app(ty_Either, app(ty_Maybe, cg)), cd), bbh) -> new_esEs1(xy3000, xy4000, cg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Just(xy3000), xy301), @2(Just(xy4000), xy401), app(ty_Maybe, app(ty_Maybe, fc)), bbh) -> new_esEs1(xy3000, xy4000, fc)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(:(xy3000, xy3001), xy301), @2(:(xy4000, xy4001), xy401), app(ty_[], app(ty_Maybe, bd)), bbh) -> new_esEs1(xy3000, xy4000, bd)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(Right(xy3000), xy301), @2(Right(xy4000), xy401), app(app(ty_Either, df), app(ty_Maybe, eb)), bbh) -> new_esEs1(xy3000, xy4000, eb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs3(@2(@3(xy3000, xy3001, xy3002), xy301), @2(@3(xy4000, xy4001, xy4002), xy401), app(app(app(ty_@3, he), gc), app(ty_Maybe, bbb)), bbh) -> new_esEs1(xy3002, xy4002, bbb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Left(xy3000), Left(xy4000), app(app(ty_@2, dd), de), cd) -> new_esEs3(xy3000, xy4000, dd, de)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Right(xy3000), Right(xy4000), df, app(app(ty_@2, ef), eg)) -> new_esEs3(xy3000, xy4000, ef, eg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(app(ty_@2, bae), baf), gd) -> new_esEs3(xy3001, xy4001, bae, baf)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(app(ty_@2, bbf), bbg)) -> new_esEs3(xy3002, xy4002, bbf, bbg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_@2, hc), hd), gc, gd) -> new_esEs3(xy3000, xy4000, hc, hd)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Left(xy3000), Left(xy4000), app(ty_[], cc), cd) -> new_esEs(xy3000, xy4000, cc)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Right(xy3000), Right(xy4000), df, app(ty_[], dg)) -> new_esEs(xy3000, xy4000, dg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Right(xy3000), Right(xy4000), df, app(app(app(ty_@3, ec), ed), ee)) -> new_esEs2(xy3000, xy4000, ec, ed, ee)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Left(xy3000), Left(xy4000), app(app(app(ty_@3, da), db), dc), cd) -> new_esEs2(xy3000, xy4000, da, db, dc)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Left(xy3000), Left(xy4000), app(app(ty_Either, ce), cf), cd) -> new_esEs0(xy3000, xy4000, ce, cf)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Right(xy3000), Right(xy4000), df, app(app(ty_Either, dh), ea)) -> new_esEs0(xy3000, xy4000, dh, ea)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Left(xy3000), Left(xy4000), app(ty_Maybe, cg), cd) -> new_esEs1(xy3000, xy4000, cg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs0(Right(xy3000), Right(xy4000), df, app(ty_Maybe, eb)) -> new_esEs1(xy3000, xy4000, eb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), app(ty_[], ba)) -> new_esEs(xy3000, xy4000, ba)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs(:(xy3000, xy3001), :(xy4000, xy4001), cb) -> new_esEs(xy3001, xy4001, cb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(ty_[], bag)) -> new_esEs(xy3002, xy4002, bag)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(ty_[], hf), gd) -> new_esEs(xy3001, xy4001, hf)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_[], gb), gc, gd) -> new_esEs(xy3000, xy4000, gb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(app(app(ty_@3, bab), bac), bad), gd) -> new_esEs2(xy3001, xy4001, bab, bac, bad)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4, 4 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(app(ty_@3, gh), ha), hb), gc, gd) -> new_esEs2(xy3000, xy4000, gh, ha, hb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4, 3 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(app(app(ty_@3, bbc), bbd), bbe)) -> new_esEs2(xy3002, xy4002, bbc, bbd, bbe)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4, 5 > 5
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(app(ty_Either, bah), bba)) -> new_esEs0(xy3002, xy4002, bah, bba)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3, 5 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(app(ty_Either, hg), hh), gd) -> new_esEs0(xy3001, xy4001, hg, hh)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3, 4 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(app(ty_Either, ge), gf), gc, gd) -> new_esEs0(xy3000, xy4000, ge, gf)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3, 3 > 4
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), app(ty_Maybe, gg), gc, gd) -> new_esEs1(xy3000, xy4000, gg)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, app(ty_Maybe, baa), gd) -> new_esEs1(xy3001, xy4001, baa)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 4 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	*new_esEs2(@3(xy3000, xy3001, xy3002), @3(xy4000, xy4001, xy4002), he, gc, app(ty_Maybe, bbb)) -> new_esEs1(xy3002, xy4002, bbb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 5 > 3
13.28/5.30	
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(9)
13.28/5.30	YES
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(10)
13.28/5.30	Obligation:
13.28/5.30	Q DP problem:
13.28/5.30	The TRS P consists of the following rules:
13.28/5.30	
13.28/5.30	   new_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba, bb) -> new_isPrefixOf(xy31, xy41, ba, bb)
13.28/5.30	
13.28/5.30	R is empty.
13.28/5.30	Q is empty.
13.28/5.30	We have to consider all minimal (P,Q,R)-chains.
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(11) QDPSizeChangeProof (EQUIVALENT)
13.28/5.30	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. 
13.28/5.30	
13.28/5.30	From the DPs we obtained the following set of size-change graphs:
13.28/5.30	*new_isPrefixOf(:(xy30, xy31), :(xy40, xy41), ba, bb) -> new_isPrefixOf(xy31, xy41, ba, bb)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2, 3 >= 3, 4 >= 4
13.28/5.30	
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(12)
13.28/5.30	YES
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(13)
13.28/5.30	Obligation:
13.28/5.30	Q DP problem:
13.28/5.30	The TRS P consists of the following rules:
13.28/5.30	
13.28/5.30	   new_primMulNat(Succ(xy300000), Succ(xy400100)) -> new_primMulNat(xy300000, Succ(xy400100))
13.28/5.30	
13.28/5.30	R is empty.
13.28/5.30	Q is empty.
13.28/5.30	We have to consider all minimal (P,Q,R)-chains.
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(14) QDPSizeChangeProof (EQUIVALENT)
13.28/5.30	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. 
13.28/5.30	
13.28/5.30	From the DPs we obtained the following set of size-change graphs:
13.28/5.30	*new_primMulNat(Succ(xy300000), Succ(xy400100)) -> new_primMulNat(xy300000, Succ(xy400100))
13.28/5.30	The graph contains the following edges 1 > 1, 2 >= 2
13.28/5.30	
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(15)
13.28/5.30	YES
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(16)
13.28/5.30	Obligation:
13.28/5.30	Q DP problem:
13.28/5.30	The TRS P consists of the following rules:
13.28/5.30	
13.28/5.30	   new_primPlusNat(Succ(xy2000), Succ(xy4001000)) -> new_primPlusNat(xy2000, xy4001000)
13.28/5.30	
13.28/5.30	R is empty.
13.28/5.30	Q is empty.
13.28/5.30	We have to consider all minimal (P,Q,R)-chains.
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(17) QDPSizeChangeProof (EQUIVALENT)
13.28/5.30	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. 
13.28/5.30	
13.28/5.30	From the DPs we obtained the following set of size-change graphs:
13.28/5.30	*new_primPlusNat(Succ(xy2000), Succ(xy4001000)) -> new_primPlusNat(xy2000, xy4001000)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2
13.28/5.30	
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(18)
13.28/5.30	YES
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(19)
13.28/5.30	Obligation:
13.28/5.30	Q DP problem:
13.28/5.30	The TRS P consists of the following rules:
13.28/5.30	
13.28/5.30	   new_primEqNat(Succ(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000)
13.28/5.30	
13.28/5.30	R is empty.
13.28/5.30	Q is empty.
13.28/5.30	We have to consider all minimal (P,Q,R)-chains.
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13.28/5.30	
13.28/5.30	(20) QDPSizeChangeProof (EQUIVALENT)
13.28/5.30	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. 
13.28/5.30	
13.28/5.30	From the DPs we obtained the following set of size-change graphs:
13.28/5.30	*new_primEqNat(Succ(xy30000), Succ(xy40000)) -> new_primEqNat(xy30000, xy40000)
13.28/5.30	The graph contains the following edges 1 > 1, 2 > 2
13.28/5.30	
13.28/5.30	
13.28/5.30	----------------------------------------
13.28/5.30	
13.28/5.30	(21)
13.28/5.30	YES
13.58/5.33	EOF